mathematics mcq's

1. Solve for x.

x + 15 = 3

a. 18

b. 12

c. –12

2. Solve for y.

y – 13 = –3

a. –10

b. 10

c. 16

3. Solve for x.

8 – x = –4

a. 12

b. 4

c. –12

4. Solve for y.

–3 – y = 7

a. 10

b. 4

c. –10

5. Solve for x.

4 x = 24

a.

b. 6

c. –6

6. Solve for y.

a. 54

b. 6

c.

7. Solve for x.

a. 36

b. 30

c. 25

8. Solve for y.

a. 16

b. 12

c. 9

9. Solve for x.

6 x + 15 = 33

a. 8

b. 3

c. –3

10. Solve for y.

3 y – 15 = –21

a. –12

b. –2

c. 2

11. Solve for x.

a. 9

b. 20

c. 45

12. Solve for y.

a. –100

b. –50

c. –36

13. For which equation is the solution x = –3?

a. –2 x + 7 = 13

b. 3 x – 2 = –7

c. 5 – 4 x = –7

14. Which of the following equations has a negative value for its variable?

a. –3 x + 5 = 4

b. 4 a – 12 = –8

c. 5 y – 6 = –7

15. What should be the first two steps in solving the equation –3 x + 4 = 12?

a. add 4 to each side of the equation, then divide each side by –3

b. subtract 4 from each side of the equation, then multiply each side by 3

c. subtract 4 from each side of the equation, then divide each side by –3

16. Solve for x.

7 x + 5 = 3 x – 35

a. –10

b.

c. 10

17. Solve for y.

3 y + 9 y – 24 = 6 y – 4 – 8

a. 2

b. –2

c. –6

18. Which equation has the same solution as 6 – 3 x = 5 x – 18?

a. 4 x – 6 = 2 x – 12

b. 10 – 7 x = 28 – 13 x

c. 9 + 4 x = 8 x + 3

19. For which problem is there an error?

a.

b.

c.

|x−2|=7Solve for x.

9, −5

112, −312

5, −2

−213, 1

1, 4

Home > Student Resources > Chapter 12: Basic mathematics > Multiple choice questions >

Chapter 12: Basic mathematics

Multiple choice questions

1 . Make m the subject of the expression:

y = m ( n + p ) 2

m = 2y + (n + p)

m = 2 + y (n + p)

m = 2y – (n + p)

2 . Expand (2x + 3) (x - 4)

The solution is:

2x2 – 11x – 12

2x – 5x – 12

2x2 – 5x – 12

2x2 + 5x + 12

3 . A quadratic equation is one which:Has the power (index) 2 as the highest power for any variable

Has 4 variables in the equation

Has the power (index) 1 as the highest power for any variable

Has the power (index) 4 as the highest power for any variable

4 . Solve the quadratic equation 5x2 – 9x + 4 = 0x = 5/4 or x = - 1

x = 4/5 or x = 1

x = 5/4 or x = 1

x = 4/5 or x = 1

5 . What is the value of the expression 10000?1

1000

0

-1

6 . This quadratic equation will not factorise.

2x2 + 3x – 13 = 0

Its solution (rounded to 2 decimal places) is:

- 2.41 or 0.91

- 1.41 or 1.91

- 3.41 or 1.91

- 4.41 or 2.91

7 . What is the solution to this pair of simultaneous equations? (Use the elimination method to find an answer).

6x + y = 184x + 2y = 12

x = 4 y = 1

x = 2 y = 2

x = 3 y = 0

x = 3 y = 1

8 . Which of the following represents an exponential relationship (x is a variable)?

Copyright © 1995-2010, Pearson Education, Inc. Legal and Privacy Terms

1. What are the two solutions to the quadratic equations 2 x2 + 3x - 2 = 0?

A) -2 , 3B) -2 , -1/2C) 2 , -1/2D) -2 , 1/2E) -1/2 , -2

2. What is the sum of the two solutions to the quadratic equation (x + 4)(x - 3) = 7

A) -1B) -2C) 1D) 2E) 3

3. What is the product of the two solutions to the quadratic equation (x - 2)(x - 6) = -3

A) 12B) -12C) 15D) -3E) 3

4. Find all values of m for which the quadratic equation x2 + 2 x - 2 m = 0 have no real solutions.

A) m = 0B) m = -2C) m < - 4D) m = 1 / 2E) m < -1 / 2

5. Find all values of m for which the quadratic equation 2x2 + 3 x - m + 2 = 0 have two distinct real solutions.

A) m > 0B) m = 7C) m > 7 / 8D) m < -7 / 8E) m = 7 / 8

6. Which of these quadratic equations has two real solutions greater than zero?

A) x2 + x = 0B) 2 x2 - 10 x = 28C) - x2 + 4 x + 5 = 0D) -3 x2 - 9 = - 12 xE) -3 x2 - 6 x + 24 = 0

7. Which of these quadratic equations has two real solutions whose product is greater than zero?

A) - x2 - 2x = - 8B) x2 + 9 x = - 18C) - x2 = - 6 + xD) x2 = 4 xE) x2 - 3 x = 4

8. a and b in the quadratic equation x2 + ax + b = 0 are real numbers. Find a and b so that the given equation has two solutions x = -1/4 and x = 1/2.

A) a = - 1 / 4 , b = - 1 / 8B) a = - 1 , b = - 1C) a = 1 / 4, b = -1D) a = 1 / 4, b = 1 / 8E) a = 4, b = 8

9. a and b in the quadratic equation - x2 + ax + b = 0 are real numbers. Find a and b so that the given equation has two solutions whose sum is equal to 6 and whose product is equal to 8.

A) a = 6 , b = 8B) a = -6 , b = 8C) a = 8 , b = -6D) a = 6 , b = -8E) a = -8 , b = 6

10.Which of these pairs of quadratic equations have the same solutions?(equivalent equations)

A) x2 - 1 = 0 and x2 = - 1B) - x2 + x = - 6 and x2 - 2x = 3C) x2 - 5x + 6 = 0 and - x2 - 5x - 6 = 0

D) x2 = 2x and x2 + 2x = 0E) x2 + x - 2 = 0 and - 2 x2 -2x + 4 = 0

Answers to the Above Questions

1. D2. A3. C4. E5. C

6. D7. B8. A9. D10. E

.

Show questions: + Add Question

Question: Conversion of 5% in decimal is ?To report click on questionAnswer Is Correct?

a 5/100

b 0.5

c 5

d 0.05


a 5/100

b 0.25 x 10

c 0.025

d 0.25

Question: Conversion of 0.5% in decimal is ?To report click on questionAnswer Is Correct?

a 5/100

3

b 0. 5 x 10

c 0.005

d 0.05

<< LessShowing Page 1 of 33



a 1/100

b 0.01

c 0.1

d 0.0001

Question: Conversion of 33.33% in decimal is ?To report click on questionAnswer Is Correct?

a 33/100

b 1/3

c 0.33

d 0.033

Question: Conversion of 0.05 in % is ?To report click on questionAnswer Is Correct?

a 50%

b 0.5%

c 5%

d 0.05%

<< LessShowing Page 2 of 33More >>

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Aptitude Test | Mathematics | Percentage | Answers with green back ground are correct

Answers with red background are in-correct

Please report any answer if you think we are showing wrong answers for the question.


Question: Compound interest on Rs.100 at 5% Interest for 1 year will be Rs. ?To report

click on question

Answer Is Correct?

20

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a 105

b 110

c 5

d 10

Question: Effective interest if nominal interest is 8% compounded annually will be Rs. ?

To report click on question

Answer Is Correct?

a 8%

b 8.249

c 0.8%

d 8.16%

Question: Effective interest if nominal interest is 8% compounded semiannually will be ?


Answer Is Correct?

a 8%

b 8.249

c 0.8%

d 8.16%

Question: Effective interest if nominal interest is 8% compounded quarterly will be?To

report click on question

Answer Is Correct?




a 8%

b 8.24%

c 0.8%

d 8.16%

Question: Effective interest if nominal interest is 8% compounded monthly will be?To


Answer Is Correct?

a 8%

b 8.24%

c 0.8%

d 8.16%

Question: Simple interest Is Interest earned on the ________ only.To report click on question

Answer Is Correct?

a Principal+ Past Interest

b Principal

c Investment

d Deposit

Question: Compound interest is interest earned on principal as well as on previously

earned?To report click on question

Answer Is Correct?






b Principal

c Investment

d Deposit

Question: On one year investment, compound interest and simple interest earned are?


Answer Is Correct?

a C.I > S.I

b S.I > C.I

c Equal

d No interest in 1st year

Question: On two year investment, compound interest and simple interest earned are

calculated, which one is greater?To report click on question

Answer Is Correct?

a C.I > S.I

b S.I > C.I

c Equal

d None of the above

Question: On 1 year investment, compound interest compounded annually and

compound interest compounded semiannually are calculated, which one is greater ?To


Answer Is Correct?






a Annual compounding

b Semiannual Compound

c Both are equal

d None of the above

Question: Taking account of compounding changes, we use ?To report click on question

Answer Is Correct?

a Effective rate

b LIBOR

c KIBOR

d Nominal rate

Question: In a group of 80 children, there are 22 more girls than boys. How many girls

are there in the group?To report click on question

Answer Is Correct?

a 36

b 44

c 48

d 51

Question: In a group of 80 children, there are 22 more girls than boys. How many boys

re there in the group?To report click on question

Answer Is Correct?






a 29

b 44

c 48

d 51



Answer Is Correct?

a 10

b 20

c 25

d 35



Answer Is Correct?

a 15

b 20

c 25

d 35

Question: A shopkeeper sold a pair of shoes for Rs.375. If his profit was 13% of the

selling price, the cost profit was ?To report click on question

Answer Is Correct?







a 200

b 245.50

c 326.25

d 362.50


selling price, the cost price was ?To report click on question

Answer Is Correct?

a 200

b 170

c 150

d 160

Question: The cost price of 21 articles is equal to thc selling price of 18 articles, profit

percentage is?To report click on question

Answer Is Correct?

a 33.33%

b 16.67%

c 25%

d 1.667%

Question: The cost price of 12 articles is equal to the selling price of 10 articles, profit


Answer Is Correct?







a 33.33%

b 16.67%

c 25%

d 20%

Question: If a man were to sell his horse for Rs.720, he would lose 25%. What must he

sell it for to gain 25% ?To report click on question

Answer Is Correct?

a 1200

b 1400

c 1500

d 1000


Question: Empty set is a ?To report click on questionAnswer Is Correct?

a Infinite Set

b Finite Set

c Invalid Set

d None of the above

Question: How many rational and irrational numbers are possible between 0 and 1 ?To

report click on questionAnswer Is Correct?

a Infinite

b Finite

c 0

d 1

20



Question: A C B is read as ?To report click on questionAnswer Is Correct?

a A is less than B

b A is a proper subset of B

c B is a subset of A

d A is a subset of B

Question: Every set is a ___________ of itselfTo report click on questionAnswer Is Correct?

a Proper subset

b Improper subset

c Compliment

d None of the above

Question: A set has n elements, then the, number of elements in its power set is ?To

report click on questionAnswer Is Correct?

a 2n

b 2°

c 2n-1

d None of the above

Explanation where 0 = n

Question: The union of sets A and B is expressed as ?To report click on questionAnswer Is Correct?

a AUB

b AxB

c A-B

d A/B

Question: The intersection of sets A and B is expressed as ?To report click on questionAnswer Is Correct?

a AxB

b A-B

c A/B

d AnB

Question: A—B is read as ?To report click on questionAnswer Is Correct?

a Difference of A and B of B and A

b Difference of B and A

c Both a and b

d None of the above

Question: A — B will contain elements in ?To report click on questionAnswer Is Correct?

a A not in B

b B not in A

c Neither A nor B

d Both A and B

Question: A’ will contain how many elements from the original set ATo report click on

questionAnswer Is Correct?

a Infinite

b 0

c 1

d All elements in A

Question: (A’)’ = ?To report click on questionAnswer Is Correct?

a A’

b U-A

c A

d U

Question: If A is not equal to B, then the Cartesian product ?To report click on questionAnswer Is Correct?

a A x B = B >< A

b A x B not equal B x A

c is not possible

d None of the above

Question: If A = {0,2) and B = {1,3), then Cartesian product ?To report click on questionAnswer Is Correct?

a AxB = BxA

b AxB not equal BxA

c is not possible

d None of the above

Question: If A has m elements and B has n elements, then A x B has elements ?To report

click on questionAnswer Is Correct?

a m + n

b m - n

c m x n

d 2n

Question: In lst quadrant ?To report click on questionAnswer Is Correct?

a X > 0, Y < 0

b X < 0, Y > 0

c X < 0, Y < 0

d X > 0, Y > 0

Question: In 2nd quadrant ?To report click on questionAnswer Is Correct?

a X > 0, Y < 0

b X < 0, Y > 0

c X < 0,Y < 0

d X > 0, Y > 0

Question: In 3rd quadrant ?To report click on questionAnswer Is Correct?

a X > 0, Y < 0

b X < 0, Y > 0

c X < 0, Y < 0

d X > 0, Y > 0

Question: In 4th quadrant ?To report click on questionAnswer Is Correct?

a X > 0, Y < 0

b X < 0, Y > 0

c X < 0, Y < 0

d X > 0, Y > 0

Question: If R = {(1,1),(2,3),(4,5)}, then domain of the function is ?To report click on


a Dom R = {I,2,4}

b Dom R {1,3,5}

c Dom R {1,1,4,5}

d Dom R = {2,3,4,5}

Question: If R = {(1,1),(2,3),(4,5)}, then Range of the function is ?To report click on


a Range R {1,2,5}

b Range R = {I,3,5}

c Range R {1,1,4,5}

d Range R = {2,3,4,5}



Question: x < y is also written as?To report click on question

Answer Is Correct?

a x less than equal to y

b y < x

c y > x

d y greater than equal to x

20

Question: x < y and y < z, it implies ?To report click on question

Answer Is Correct?

a x less than equal to y

b y < x

c x > z

d x < z

Question: 2(2)³ = ?To report click on question

Answer Is Correct?

a 64

b 16

c 4

d 12

Question: 4 (3)² =To report click on question

Answer Is Correct?

a 12

b 24

c 36

d 144

Question: 2(4)³ = ?To report click on question

Answer Is Correct?

a 512

b 128

c 24

d 4096

Question: (-5)² =To report click on question

Answer Is Correct?

a 10

b -25

c 25

d -10

Question: (-3)³ = ?To report click on question

Answer Is Correct?

a 27

b -27

c 9

d -9

Question: 2(3)² = ?To report click on question

Answer Is Correct?

a -18

b 12

c 18

d -12

Question: -4(-3)² = ?To report click on question

Answer Is Correct?

a -36

b 36

c 24

d -24

Question: -5(-2)³ = ?To report click on question

Answer Is Correct?

a 40

b -40

c 30

d -30

Question: 2√3 + 4√3 = ?To report click on question

Answer Is Correct?

a 8√3

b 6√3

c -6√3

d -8√3

Question: √2 (5√2 - 3√2 = ?To report click on question

Answer Is Correct?

a 2 ≤ y

b 4

c 2√2

d -4

Question: √6 (4√6 - 3√2√3) = ?To report click on question

Answer Is Correct?

a 18

b 6

c 3

d 12

Question: 7(√9 - √4) = ?To report click on question

Answer Is Correct?

a 7

b -7

c 35

d 7√5

Question: 1000 (√16 - √4√4 ) = ?To report click on question

Answer Is Correct?

a 1000

b 4000

c 0

d 8000

Question: 4 (4√25 - 2 √25) = ?To report click on question

Answer Is Correct?

a 10

b 40

c 0

d 50

Question: if x = 2 + √3, x + 1/x = ?To report click on question

Answer Is Correct?

a 4

b 6

c 8

d 14

Question: if x = √2 - √3, x - 1/x = ?To report click on question

Answer Is Correct?

a 2√2

b 4√2

c 4

d 6√2

Question: if x = √10 + 3, x + 1/x = ?To report click on question

Answer Is Correct?

a 2√5

b 2√10

c 4√2

d 6√2

Question: if x = 2 + √5, x + 1/x = ?To report click on question

Answer Is Correct?

a 2√3

b 4√3

c 2√5

d 2√4




percentage is ?To report click on question

Answer Is Correct?

a 33.33%

20

b 16.67%

c 25%

d 20%

Question: Simple interest on Rs..5,000 at 5% interest for 1 year will be Rs. ?To report

click on question

Answer Is Correct?

a 500

b 50

c 25

d 250



Answer Is Correct?

a 36

b 44

c 48

d 51


re there in the group?To report click on question

Answer Is Correct?

a 29

b 44

c 48

d 51



Answer Is Correct?

a 10

b 20

c 25

d 35



Answer Is Correct?

a 15

b 20

c 25

d 35


selling price, the cost profit was ?To report click on question

Answer Is Correct?

a 200

b 245.50

c 326.25

d 362.50


selling price, the cost price was ?To report click on question

Answer Is Correct?

a 200

b 170

c 150

d 160

Question: The cost price of 21 articles is equal to thc selling price of 18 articles, profit


Answer Is Correct?

a 33.33%

b 16.67%

c 25%

d 1.667%



Answer Is Correct?

a 33.33%

b 16.67%

c 25%

d 20%

Question: If a man were to sell his horse for Rs.720, he would lose 25%. What must he

sell it for to gain 25% ?To report click on question

Answer Is Correct?

a 1200

b 1400

c 1500

d 1000

Question: If a man were to sell his bag for Rs.200, he would lose 20%. What must he sell

it for to gain 10% ?To report click on question

Answer Is Correct?

a 220

b 225

c 275

d 300

Question: A trader marked the price of an article 30% above the cost price and gave the

buyer 10% discount on marked price, thereby gaining Rs.340. The cost of the article is?


Answer Is Correct?

a 180O

b 1900

c 2000

d 3000

Question: A trader marked the price of an article 10% above the cost price and gave the

buyer 5% discount on marked price, thereby gaining Rs.35. The cost of the article is ?To


Answer Is Correct?

a 1000

b 1100

c 1065

d 1120

Question: By selling goods for Rs.186, a merchant loses 7% on his outlay. Find the

percentage profit on his outlay when he sells the same goods for Rs.210?To report click

on question

Answer Is Correct?

a 3%

b 4%

c 10%

d 5%

Question: By selling go&ds for Rs.92, a merchant loses 8% on his outlay. Find the

percentage profit on his outlay when he sells the same goods for Rs.110To report click on

question

Answer Is Correct?

a 3%

b 4%

c 10%

d 5%

Question: Afnan bought few apples, then he bought 12 more apples, he ate 2 apples,

the result is twice the apples he originally had, he originally bought ?To report click on

question

Answer Is Correct?

a 20 apples

b 10 apples

c 14 apples

d 16 apples

Question: Mr. Shoukat bought few oranges, then he bought 24 more oranges, he ate 6

oranges, the result is thrice the oranges he originally had, he originally bought?To report

click on question

Answer Is Correct?

a 15

b 10

c 25

d 20

Question: The result of two consecutive odd numbers is 8; the consecutive odd numbers

are ?To report click on question

Answer Is Correct?

a 3,7

b 3,5

c 1,3

d 5,7

Question: The result of two consecutive odd numbers is 160; the consecutive odd

numbers are ?To report click on question

Answer Is Correct?

a 80,80

b 77, 83

c 79, 81

d 79, 83


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Question: A shopkeeper sold a pair of shoes for Rs.375. If his profit was 13%

of the selling price, the cost profit was ?To report click on question

Answer Is Correct?

a 200

b 245.50

c 326.25

d 362.50

20

Question: A shopkeeper sold a pair of shoes for Rs.200. If his profit was 15%

of the selling price, the cost price was ?To report click on question

Answer Is Correct?

a 200

b 170

c 150

d 160

Question: The cost price of 21 articles is equal to thc selling price of 18

articles, profit percentage is?To report click on question

Answer Is Correct?

a 33.33%

b 16.67%

c 25%

d 1.667%

Question: The cost price of 12 articles is equal to the selling price of 10

articles, profit percentage is?To report click on question

Answer Is Correct?

a 33.33%

b 16.67%

c 25%

d 20%

Question: If a man were to sell his horse for Rs.720, he would lose 25%. What

must he sell it for to gain 25% ?To report click on question

Answer Is Correct?

a 1200

b 1400

c 1500

d 1000

Question: If a man were to sell his bag for Rs.200, he would lose 20%. What

must he sell it for to gain 10% ?To report click on question

Answer Is Correct?

a 220

b 225

c 275

d 300

Question: A trader marked the price of an article 30% above the cost price

and gave the buyer 10% discount on marked price, thereby gaining Rs.340.

The cost of the article is?To report click on question

Answer Is Correct?

a 180O

b 1900

c 2000

d 3000

Question: A trader marked the price of an article 10% above the cost price

and gave the buyer 5% discount on marked price, thereby gaining Rs.35. The

cost of the article is ?To report click on question

Answer Is Correct?

a 1000

b 1100

c 1065

d 1120

Question: By selling goods for Rs.186, a merchant loses 7% on his outlay. Find

the percentage profit on his outlay when he sells the same goods for Rs.210?


Answer Is Correct?

a 3%

b 4%

c 10%

d 5%

Question: By selling go&ds for Rs.92, a merchant loses 8% on his outlay. Find

the percentage profit on his outlay when he sells the same goods for Rs.110To


Answer Is Correct?

a 3%

b 4%

c 10%

d 5%

Question: The area of a rectangular field is 1092 sq.m. Its length is thrice its

width. Its perimeter is?To report click on question

Answer Is Correct?

a 462m

b 464m

c 470m

d 470m

Question: Maria thought of a number, if 16 is added to that number, the

result is 24, the original number is =?To report click on question

Answer Is Correct?

a 8

b 16

c 24

d 4

Question: Faran thought of a number, if 8 is subtracted from that number, the

result is 18, the original number is =?To report click on question

Answer Is Correct?

a 18

b 8

c 10

d 26

Question: Salman bought few mangoes, then he bought 6 more mangoes, he

ate 3 mangoes, result is one and a half times the mangoes he originally he

originally bought ?To report click on question

Answer Is Correct?

a l2 mangoes

b 6 mangoes

c l8 mangoes

d l8 mangoes

Question: The projectile motion and circular motion are good example of ?To


Answer Is Correct?

a One dimension motion.

b Two dimension motion.

c Three dimension motion.

d None of these

Question: Any object that is given any initial velocity and which follows a path

due to gravitational force acting on it and by the frictional resistance of the

atmosphere is called?To report click on question

Answer Is Correct?

a Projector

b Positive current

c Promotion

d Projectile

Question: Kicked or thrown balls, jumping animals, object thrown from a

window, a missile shot from a gun, a bomb released from a bomber plane, etc

are all example of?To report click on question

Answer Is Correct?

a Machine

b Projectiles

c Mechanical energy

d Velocity

Question: The path followed by a projectile is called its?To report click on

question

Answer Is Correct?

a Treasury

b Territory

c Tractor

d Trajectory

Question: When a body moves with a constant speed in a circle?To report click

on question

Answer Is Correct?

a its acceleration is increasing

b its acceleration is zero

c its velocity is changing

d its velocity is uniform

Question: In the analysis of projectile motion, it is assumed that effect of air

resistance is?To report click on question

Answer Is Correct?

a considerable

b important

c negligible

d None of these



Question: A polynomial has ?To report click on question

Answer Is Correct?

a Only one variable

b Only one term

c Power of 1

d Power is 0 or +ve

Question: A monomial has________To report click on question

Answer Is Correct?

a Only one variable

b Only one term

c Power of 1

d Root of 1

Question: A Binomial has ________To report click on question

Answer Is Correct?

a Only one variable

b Only one term

c Two variables

d Two terms

20

Question: A Trinomial has ?To report click on question

Answer Is Correct?

a Cubic equation

b Three terms

c Three variables

d Power of 3

Question: If a — b = 6,a + b = 5,then a² - b² = ?To report click on question

Answer Is Correct?

a 20

b 30

c 40

d 1

Question: If a — b = 3, a + b = 4, then a² - b² = ?To report click on question

Answer Is Correct?

a 7

b 1

c 12

d -12

Question: If x — 1/x = 5, x² + 1/x² = ?To report click on question

Answer Is Correct?

a 29

b 27

c 31

d 23

Question: If x — 1/x = 7, x² + 1/x² = ?To report click on question

Answer Is Correct?

a 47

b 49

c 51

d 53

Question: (a—(b)(a+(b) = ?To report click on question

Answer Is Correct?

a a² + b²

b a² - b²

c a² + 2ab + b²

d a² - 2ab + b²

Question: (a—(b)(a+(b)(a² + b²) = ?To report click on question

Answer Is Correct?

a (a² - b²)(a² + (b²)

b (a² + b²)(a² + (b²)

c a4 - b4

d a4 + b4

Question: Which term should be added expression x² + 9 to obtain a perfect square ?To


Answer Is Correct?

a 6x

b 3x

c 9x

d 12x

Question: Which term should be added in expression y² + 1/4 to obtain a perfect

square?To report click on question

Answer Is Correct?

a y²

b y

c 2y

d —2y

Question: Which term should be added in expression 4x² -4xy to obtain a perfect


Answer Is Correct?

a y

b -y

c y2

d -2y

Question: Which term should be added in expression 9x²y² — l2xyz to obtain a perfect


Answer Is Correct?

a 4z

b 2z²

c —4z

d 4z²

Question: Which term should be added in expression x² — xy + y² to obtain a perfect


Answer Is Correct?

a xy

b -xy

c -2xy

d 2xy

Question: Which term should be added in expression x4 + x² + 1 to obtain a perfect


Answer Is Correct?

a x²

b -x²

c 2x²

d —2x²

Question: Which term should be added in expression x² + 16 to obtain a perfect square?


Answer Is Correct?

a 8x

b 2x

c -2x

d 4x

Question: Which term should be added in expression x² + 64 to obtain a perfect square?


Answer Is Correct?

a 4x

b 16x

c 8x

d 2x

Question: If a + b = 4,ab = 3,then a² + b² =?To report click on question

Answer Is Correct?

a 10

b 12

c 8

d 14

Question: If a - b = 5, ab = 24 , then a² + b² =?To report click on question

Answer Is Correct?

a 67

b 71

c 29

d 73



Question: Simple interest on Rs..5,000 at 5% interest for 1 year will be Rs. ?To report

click on question

Answer Is Correct?

a 500

b 50

c 25

d 250

Question: Simple interest on Rs.5,000 at 5% interest for 2 years will be Rs.?To report click

on question

Answer Is Correct?

a 500

20

b 50

c 25

d 250

Question: Simple interest On Rs.1OOO at 8:% interest for 1 year will be Rs. ?To report

click on question

Answer Is Correct?

a 80

b 8000

c 800

d 100

Question: Simple interest on Rs,1000 at 8% interest for S year will be Rs. ?To report click

on question

Answer Is Correct?

a 320

b 240

c 80

d 250

Question: Simple interest on Rs..3,000 at 5% interest for 10 year will be Rs.?To report

click on question

Answer Is Correct?

a 500

b 1500

c 250

d 2500

Question: Compound interest on Rs.5,000 at 5% interest for 2 yeasr will be Rs. ?To report

click on question

Answer Is Correct?

a 512.5

b 215.5

c 500

d 250

Question: Compound interest on Rs.5,000 at 5% interest for 4 year will be Rs. ?To report

click on question

Answer Is Correct?

a 1407

b 1077

c 1207

d 1257

Question: Compound interest on Rs. 1,000 at 6% interest for.2 year will be Rs.?To report

click on question

Answer Is Correct?

a 123

b 213

c 263

d 523

Question: Compound Interest on Rs.2,000 at 5% interest for 2 year will be Rs. ?To report

click on question

Answer Is Correct?

a 105

b 305

c 205

d 405

Question: Compound interest on Rs.100 at 5% Interest for 1 year will be Rs. ?To report

click on question

Answer Is Correct?

a 105

b 110

c 5

d 10

Question: Effective interest if nominal interest is 8% compounded annually will be Rs. ?


Answer Is Correct?

a 8%

b 8.249

c 0.8%

d 8.16%

Question: Effective interest if nominal interest is 8% compounded semiannually will be ?


Answer Is Correct?

a 8%

b 8.249

c 0.8%

d 8.16%

Question: Effective interest if nominal interest is 8% compounded quarterly will be?To


Answer Is Correct?

a 8%

b 8.24%

c 0.8%

d 8.16%

Question: Effective interest if nominal interest is 8% compounded monthly will be?To


Answer Is Correct?

a 8%

b 8.24%

c 0.8%

d 8.16%

Question: Simple interest Is Interest earned on the ________ only.To report click on question

Answer Is Correct?


b Principal

c Investment

d Deposit

Question: Compound interest is interest earned on principal as well as on previously

earned?To report click on question

Answer Is Correct?


b Principal

c Investment

d Deposit

Question: On one year investment, compound interest and simple interest earned are?


Answer Is Correct?

a C.I > S.I

b S.I > C.I

c Equal

d No interest in 1st year

Question: On two year investment, compound interest and simple interest earned are

calculated, which one is greater?To report click on question

Answer Is Correct?

a C.I > S.I

b S.I > C.I

c Equal

d None of the above

Question: On 1 year investment, compound interest compounded annually and

compound interest compounded semiannually are calculated, which one is greater ?To


Answer Is Correct?

a Annual compounding

b Semiannual Compound

c Both are equal

d None of the above

Question: Taking account of compounding changes, we use ?To report click on question

Answer Is Correct?

a Effective rate

b LIBOR

c KIBOR

d Nominal rate




Test how much have you learn by taking a practice test of Interest for free. We will put your







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Maths Percentage Test

Working out math percentages

1. The price of sugar increases by 32%. A family reduces its consumption so that the expenditure of the sugar is up by 10% only. If the total consumption of sugar before the price rise was 10 kg per month, then the consumption of sugar per month at present (in kg) is

(a)8.33(b)8.5(c)8.75(d)9

2. A ball pen factory decided to reduce its production by 10% over that of previous month for next 3 months starting from February 1994. In January 1994, it produced 3000 ball pens. How many ball pens wereproduced in March 1994?(a) 2700(b) 2430(c) 2187(d) 2400

3. A building worth Rs 133,100 is constructed on land worth Rs. 72,900. After how many years will the value of both be the same if land appreciates at 10% pa. and building depreciates at 10% p.a. ?(a)2.5(b) 2(c) 1.5(d) 3

4. A man’s basic pay for a 40 hour week is Rs. 2000. Overtime is paid for at 25% above the basic rate. In a certain week, he worked overtime and his total wage was Rs. 2500. He, therefore, worked for a total of:(a)45 hours(b) 47 hours(c) 48 hours(d) 50 hours

5. Salaries of A, B and C are in the ratio 1:2:3. Salary of B and C together is Rs. 60000. By what percent is salary of C more than that of A?(a)300(b) 600(c) 100(d) 200

6. The price of a table is Rs. 400 more than that of a chair. If 6 tables and 6 chairs together cost Rs. 4800, by what percent is the price of the chair less than that of the table?(a)200(b) 400(c) 100(d) None of these

7. The length and breadth of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of the square by?(a)42%(b) 62%(c) 82%(d) None of these

8. The length of a rectangle is increased by 20% and the width is decreased by 20%. The area decreases by(a)0.8%(b) 1.2%(c) 4%(d) 8%

9. The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area ?(a)37 %(b) 60%(c) 75%(d) None of these

10. In a market survey, 20% opted for product A whereas 60% opted for product B. The remaining individuals were not certain. If the difference between those who opted for product B and those who were uncertain was 720, how many individuals were covered in the survey ?(a)3600(b) 1440

(c) 1800(d) Data inadequate

11. Arun gave a portion of the money he had to Gopal. Gopal in turn gave 40% of what he got from Arun to Dinesh. How much money did Dinesh get? To find out the answer, which of the following information’s given in statements (P) and (Q) is/are sufficient 7P:Arun had Rs. 4,000 with him.Q : The difference between the amounts of Gopal and Dinesh was Rs. 500.(a)Only Q is sufficient.(b) Only P is sufficient.(c)Either P or Q is sufficient.(d) Both P and Q together are needed.12. .02=?%(a)20(b)2(c)0.02(d)0.2

13. 5 out of 2250 parts of earth is sulphur. What is the percentage of sulphur in earth?(a)11/50(b)2/9(c)1/45(d)2/45

14. 45 x ? = 25% of 900(a) 16.20(b) 500(c) 4(d) 5

15. 218% of 1674 = ? x 1800(a)4(b) 0.5(c) 6(d) None of these

16. 13937.869 ÷ 199.54 + 15% of 201=?(a)150(b) 90(c) 80(d) 100

17 63% of 25/7 is ?(a)2.25(b) 2.40(c) 2.50(d) 2.75

18. If 30 % of a number is 12.6, then the number is?(a)41(b) 51(c) 52(d)42

19. 5% of (25% of Rs. 1600) is?(a)Rs. 5(b) Rs. 17.50(c) Rs. 20(d) Rs. 25

20. (25/3) % of ? = 150(a)1250(b) 1800(c)1700(d) 1400

21. 35% of 30=25% of ? +1(a)28(b)38(c)42(d)32

22. ?% of 6144 = 5/2 x 245.76(a)16(b) 20(c)5(d) 10

23. (30% of 80)/? =24(a)3/10(b) 3/17(c)1(d) 2

24. 45% of ? + 30% of 90 = 30% of 210.(a)120(b) 80(c) 60(d)90

25. One fourth of one third of two fifth of a number is 15. V/hat will be 40% of that number?(a)120(b) 350(c) 270(d) 180

26. If 37% of a number is 990.86, what will be approximately 19% of thatnumber?(a) 600(b) 400(c) 500(d) 700

27. If 15% of 40 is greater than 25% of a number by 2, the number is ?(a) 16(b) 20(c) 24(d) 32

28. What will be 160% of a number whose 200% is 140?(a)200(b) 160(c) 140(d) 112

29. If 75% of a number is added to 75, the result is the number itself. Then, the number is ?(a) 400

(b) 300(c) 60(d) 50

30. Subtracting 40% of a number from the number, we get the result as 30. The number is?(a) 28(b) 50(c) 52(d) 70

31. If three fifth of a number is 40 more than 40% of the same number. What is the number?(a) 100(b) 150(c) 200(d) 400

32. A number, on subtracting 15 from it, reduces to its 80% What is 40%of that number?(a)60(b) 45(c) 30(d) 90

33. The population of a town has increased from 133575 to 138918. The percent increase in population is ?(a)2.5(b) 3(c) 3.5(d) 4

34. If x% of y is the same as 4/5 of 80 , then the value of xy is(a)320(b) 400(c) 640(d) None

35. Subtracting 6% of x from xi s equivalent to multiplying x by how much?(a)0 .94(b) 9.4(c) 0.094(d) 94

36. If 8% of x=4% of y, then 20% of x is?(a) 10% of y(b) 16% of y(c) 80% of y(d) None of these

37. (x % of y+ y % of x ) is?(a)x % of y(b) y% of x(c) 2 % of xy(d) xy % of 3

38. It is known that 20% of the mangoes are rotten. If number of rotten mangoes is 35, then the total number of mangoes is(a)150

(b) 175(c) 180(d) 185

39. A student has to secure 40% marks to pass. He gets 178 marks and fails by 22 marks. The maximum marks are?(a)200(b) 500(c) 800(d) 1000

40. A house-owner was having his house painted. He was advised that he would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg cans, what would be the cost of paint purchased, if one can cost Rs. 16 ?(a)Rs. 240(b) Rs. 180(c) Rs. 160(d) Rs. 360

41. A reduction of 12.5% in the price of a dining table brought down its price to Rs. 4375. The original price (in Rs.) of the table was?(a)6000(b) 5400(c) 5200(d) 5000

42. In a library, 20% books are Italian , 50% of the remaining are in English and the remaining 9000 are in various other languages. What is the total number of books in English?(a)4000(b) 3000(c) 2250(d) None of these

43. Peter spends 30% of his income on scooter petrol, ¼ of the remainingon house rent and the balance on food. If he spends Rs. 300 on petrol then what is the expenditure on house rent?(a)Rs 525(b) Rs. 1000(c) Rs 675(d)Rs. 175

44. The price of jute has been reduced by 20%. If the reduced price is Rs. 800 per quintal, the original price per quintal was?(a)Rs. 900(b) Rs. 640(c) Rs. 960(d) Rs. 1000

45. Sandy spends 40% of his salary on food articles and one third of the remaining on transport. If he saves Rs. 450 per month which is half of the balance after spending on food items and transport, what is his monthly salary-?(a)Rs. 4500(b) Rs. 2250(c) Rs. 1125(d) Rs. 2500

46. In an examination, 1100 boys and 900 girls appeared. 50% of the boysand 40% of the girls passed the examination. The percentage of candidates failed is ?

(a)45(b) 45.5(c) 54.5(d) 59.2

47. Alex secured 50% marks in Hindi, 60% in English and 70% in Maths as well as in Science. What were his total marks if the maximum marks obtainable in each of these 4 subjects was 50 ?(a) 125(b) 120(c) 250(d) 150

48. In a city, 35% of the population is composed of migrants, 20% of whom are from rural areas. Of the local population, 48% is female while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population 7(a)324138(b) 349680(c) 509940(d) None

49. A’s marks in Biology are 20 less than 25% of the total marks obtained by him in Biology, Maths and Drawing. If his marks in Drawing be 50, what are his marks in Maths 7(a)40(b) 45(c) 50(d) Can’t be determined

50. An increase of Rs. 60 in the monthly salary of Madan made it 50% of the monthly salary of Kamal. What is Madan’s present monthly salary 7(a)Rs. 180(b) Rs. 240(c) Rs. 300(d) Data inadequate

51. A man bought a house for Rs. 5 lakhs and rents it. He puts 12.5% of each month’s rent aside for repairs, pays Rs. 1660 as annual taxes and realises 10% on his investment thereafter. The monthly rent of the house is?(a)Rs. 5000(b) Rs. 4920(c) Rs. 2500(d) Rs. 2460

52. In a public school, 1/5th of girls and 1/4th of boys are under 12 years of age. If the total strength of the school is 1000 and number of girls is 2/5th of the total, what part of the total strength of the school is accounted for by those which are 12 years or more of age ?(a)23%(b) 45%(c) 55%(d)77%

53. A debtor can pay 87 paise in the rupee, but if his creditors would take 20% of his debts, he could pay them and have Rs. 42 left. His debts and assets respectively are ?

(a)Rs. 600, Rs. 522(b) Rs. 500 , Rs. 521

(c)Rs. 400, Rs. 520(d) Rs. 1000, Rs. 525

54. 300 grams of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution ?(a)10 gms(b) 40 gms(c) 60 gms(d) 80 gms

55. The price of an article is cut by 20%. To restore it to the former value, the new price must be increased by?(a)20%(b) 25 %(c) 16(d) 24%

56. In an examination, there are 3 papers of Mathematics of 100 marks each. A boy secures 60% in the first paper and 70% in the second paper. In order to secure 70% in the aggregate the percentage of marks he should secure in third paper will be?(a)90%(b) 80%(c) 75%(d) 70%

57. 5% of income of A is equal to 15% of income of B and 10% of income of B is equal to 20% of income of C. If income of C is Rs. 2000, then total income of A, B & C is?(a)Rs. 6000(b) Rs. 18000(c) Rs. 20000(d) Rs. 14000

58. In an examination, A got 10% marks less than B, B got 25% marks more than C and C got 20% less than D. If A got 360 marks out of 500, the percentage of marks obtained by D was?(a)70(b)75(c) 80(d) 85

59. In an examination, 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects, the total number of students is(a)200(b) 400(c) 600(d) 800

60. In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the examination, how many passed in either subject but not in both?(a)325(b) 1175(c) 2125(d) None of these

61. In an election between two candidates, one got 55% of total valid votes. 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got was

(a)2700(b) 2900(c) 3000(d) 3100

62. At an election involving two candidates, 68 votes were declared invalid. The winning candidate scores 52% and wins by 98 votes. The total number of votes polled is ?(a)2518(b) 2450(c) 2382(d) None of these

63. A’s income is 25% more than B’s income. B income in terms of A’sincome is?(a)75%(b) 80 %.(c) 90%(d) 96%

64. Water tax is increased by 20% but its consumption is decreased by 20%.Then, the increase or decrease in the expenditure of the money is(a)No change(b) 5% decrease(c)4% increase(d) 4% decrease

65. On increasing the price of T.V. sets by 30%, their sale decreases by 20%.What is the effect on the revenue receipts of the shop 7(a)4% increase(b) 4% decrease(c)8% increase(d) 8% decrease

66. The price of sugar increases by 20%. By what percent must a house wife reduce the consumption of sugar, so that the expenditure on sugar is the same as before 7(a)16.66(b)20(c) 80(d) 83.33

67. The price of sugar is increased by 20%. As a result, a family decreases its consumption by 25%. The expenditure of the family on sugar will be decreased by(a) 10%(b) 5%(c) 14%(d) 15%

Answers :

1 a

2 c

3 d

4 c

5 d

6 d

7 c

8 c

9 a

10 c

11 A

12 B

13 B

14 D

15 D

16 D

17 A

18 D

19 C

20 B

21 B

22 D

23 C

24 B

25 D

26 C

27 A

28 D

29 B

30 B

31 C

32 C

33 D

34 D

35 A

36 D

37 C

38 B

39 B

40 A

41 D

42 D

43 D

44 D

45 B

46 C

47 A

48 D

49 D

50 D

51 B

52 D

53 A

54 C

55 B

56 B

57 B

58 C

59 B

60 B

61 A

62 A

63 B

64 D

65 A

66 A

67 A

how questions: + Add Question

Question: In the log of a number, characteristic is ?To report click on question

Answer Is Correct?

a Fractional part

b Integral Part

c Whole Term

d 1st digit

Question: In the log of a number, mantissa is ?To report click on question

Answer Is Correct?

a Fractional part

b Integral Part

c Whole Term

d 1st digit

Question: Log (a / (b) = ?To report click on question

Answer Is Correct?

a Log a — Log b

b Log a + Log b

c a Log b

d a + b

Question: Log (a)² = ?To report click on question

Answer Is Correct?

a Log a — Log 2

20

b Log a + Log 2

c 2 Log a

d a + 2

Question: Log (3 x 2) = ?To report click on question

Answer Is Correct?

a Log 3 — Log 2

b Log 3 + Log 2

c 3 Log 2

d 3 + 2

Question: Log (3 / 2) = ?To report click on question

Answer Is Correct?

a Log 3 — Log 2

b Log 3 + Log 2

c 3 Log 2

d 3 + 2

Question: Log (2)³ = ?To report click on question

Answer Is Correct?

a Log 3 — Log 2

b Log 3 + Log 2

c 3 Log 2

d 3 + 2

Question: Log 10 = ?To report click on question

Answer Is Correct?

a 10

b 1

c 0.1

d 100

Question: Log 100 = ?To report click on question

Answer Is Correct?

a 10

b 1

c 0.1

d 2

Question: 46000 in scientific notation is written as ?To report click on question

Answer Is Correct?

a 46 x 10²

b 4.6 x 10²

c 4.6x 104

d 46 x 10³


Answer Is Correct?

a 57.85 x 1O³

b 5.785 x 104

c 57.85x 10²

d 57.85 x 105


Answer Is Correct?

a 6.7450 X 104

b 67450 x 105

c 6.7450 x 10³

d 67450 x 10²

Question: l0000 in scientific notation is written as ?To report click on question

Answer Is Correct?

a 10(power4)

b 10(power6)

c 10(power5)

d 1 x 10(power4)

Question: 0.0001 in scientific notation is written as ?To report click on question

Answer Is Correct?

a 1 x 10(power4)

b 1 x 10(power-4)

c 1 x 10(power-3)

d 1 x 10(power-2)

Question: If Log10 x = 3, then x = ?To report click on question

Answer Is Correct?

a 100

b 300

c 30

d 1000


Answer Is Correct?

a 14

b 49

c 5

d 7


Answer Is Correct?

a 18

b 9

c 216

d 36

Question: 5³ = 125 is written in the logarithmic form as ?To report click on question

Answer Is Correct?

a Log3 125 = 5

b Log5 125 = 3

c Log125 3 = 5

d Log125 5 = 3

Question: Log2 8 = x is written in the logarithmic form as ?To report click on question

Answer Is Correct?

a 2

b 3

c 2(power8)

d 2³

Question: Log2 64 = x is written in the logarithmic form as ?To report click on question

Answer Is Correct?

a 2(power8)

b 8²

c 8

d 6




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Home » Math Mcqs » Math Mcqs

Math Mcqs

1. What is 1/3 of 300?

A) 100B) 900C) 1D) 10E) 9

2. If 2/7 of x is equal to 6, then x =

A) 12/7B) 1/21C) 84D) 42E) 21

3. What is 15% of 45% of 1.4?

A) 0.945B) 0.0945C) 9450D) 94.5E) 9.45

4. What is 2/3 of 1/5 of 12,000?

http://www.apexmath.blogspot.com/2011/10/math-mcqs_3177.html

http://www.apexmath.blogspot.com/search/label/Math%20Mcqs



A) 1.1 10-5 B) 8000C) 1600D) 2400E) 1.6

5. If x% of 23 is 9.2, then x =

A) 211.6B) 80C) 21.16D) 40E) 4

6. On a 25 questions Math test, Peter got 60% of the 10 algebra questions correct, 80% of the 10 geometry questions correct and 60% of the 5 trigonometry questions correct. What percentage of all the questions did Peter get correct?

A) 200%B) 66.6%C) 68%D) 25%E) 50%

7. If 25% of y is x, then y =

A) 0.25 xB) 2xC) 8xD) 0.50 xE) 4x

8. What fraction subtracted from 1/2 + 4/5 gives 1?

A) 1/2B) 4/5C) 3/10D) 9/10E) 3/5

9. One out of 5 of a group of students took a math test, 28% of the same group took a science test and the rest took a history test. What percent of students took a history test?

A) 80%B) 72%C) 48%D) 52%E) 50%

10. If one fifth of y + 1 is equal to 2, then y + 2 =

A) 11B) 9C) 8D) 7E) 6

Answers to the Above Questions

1. A 2. E 3. B 4. C 5. D

6. C 7. E 8. C 9. D 10. A

1. A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

A. Rs. 120 B. Rs. 121

C. Rs. 122 D. Rs. 123

Answer & Explanation

Answer: Option B

Explanation:

Amount

= Rs. 1600 x 1 +5 2

+ 1600 x 1 +5

2 x 100 2 x 100

= Rs. 1600 x41

x41

+ 1600 x

41

40 40 40

= Rs. 1600 x41 41

+ 140 40

= Rs.1600 x 41 x 81

40 x 40

= Rs. 3321.

C.I. = Rs. (3321 - 3200) = Rs. 121

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2. The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

A. 625 B. 630

C. 640 D. 650


Answer: Option A

Explanation:

Let the sum be Rs. x. Then,

C.I. = x 1 +4

2

- x =

676

x - x =51

x.100 62

5625

S.I. =x x 4 x 2

=2x

.100 25

51x - 2x = 1

625 25 x = 625.


3. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

A. Rs. 2160 B. Rs. 3120

C. Rs. 3972 D. Rs. 6240

E. None of these


Answer: Option C

Explanation:

Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.

R =100 x 60

= 10% p.a.100 x 6

Now, P = Rs. 12000. T = 3 years and R = 10% p.a.

C.I. = Rs. 12000 x 1 +10 3

- 1100

= Rs. 12000 x331

1000

= 3972.


4.What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?

A. Rs. 2.04 B. Rs. 3.06

C. Rs. 4.80 D. Rs. 8.30


Answer: Option A

Explanation:

C.I. when interest compounded yearly

= Rs. 5000 x 1 + 4 x 1 + x 4

100 100

= Rs. 5000 x26

x51

25 50

= Rs. 5304.

C.I. when interest is compounded half-yearly

= Rs. 5000 x 1 +2 3

100

= Rs. 5000 x51

x51

x51

50 50 50

= Rs. 5306.04

Difference = Rs. (5306.04 - 5304) = Rs. 2.04


5. The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

A. 2 B. 21

2

C. 3 D. 4


Answer: Option A

Explanation:

Amount = Rs. (30000 + 4347) = Rs. 34347.

Let the time be n years.

Then, 30000 1 +7 n

= 34347100

107 n

=

34347

=

11449

=

107

2

100 30000

10000 100

n = 2 years.


6. What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?

A. Rs. 9000.30 B. Rs. 9720

C. Rs. 10123.20 D. Rs. 10483.20

E. None of these


Answer: Option C

Explanation:

Amount

= Rs. 25000 x 1 +12 3

100

= Rs. 25000 x28

x28

x28

25 25 25

= Rs. 35123.20

C.I. = Rs. (35123.20 - 25000) = Rs. 10123.20


7. At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?

A. 6% B. 6.5%

C. 7% D. 7.5%


Answer: Option A

Explanation:

Let the rate be R% p.a.

Then, 1200 x 1 +R 2

= 1348.32100

1 +R 2

=134832

=11236

100 120000 10000

1 +R 2

=106 2

100 100

1 + R=

106

100 100 R = 6%


8. The least number of complete years in which a sum of money put out at 20% compound

interest will be more than doubled is:

A. 3 B. 4

C. 5 D. 6


Answer: Option B

Explanation:

P 1 +20 n

> 2P 6 n

> 2.100

5

Now,6

x6

x6

x6

> 2.5 5 5 5

So, n = 4 years.


9. Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?

A. Rs. 8600 B. Rs. 8620

C. Rs. 8820 D. None of these


Answer: Option C

Explanation:

Amount

= Rs. 8000 x 1 +5 2

100

= Rs. 8000 x21

x21

20 20

= Rs. 8820.


10. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:

A. 6.06% B. 6.07%

C. 6.08% D. 6.09%


Answer: Option D

Explanation:

Amount of Rs. 100 for 1 year when compounded half-yearly

= Rs. 100 x 1 +3 2

= Rs. 106.09100

Effective rate = (106.09 - 100)% = 6.09%


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11. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

A. Rs. 1550 B. Rs. 1650

C. Rs. 1750 D. Rs. 2000


Answer: Option C

Explanation:

C.I. = Rs. 4000 x 1 +10 2

- 4000100

= Rs. 4000 x11

x11

- 400010 10

= Rs. 840.

Sum = Rs.420 x 100

= Rs. 1750.3 x 8


12. If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

A. Rs. 51.25 B. Rs. 52

C. Rs. 54.25 D. Rs. 60


Answer: Option A

Explanation:

Sum = Rs.50 x 100

= Rs. 500.2 x 5

Amount = Rs. 500 x 1 +5 2

100

= Rs. 500 x

21

x21

20

20

= Rs. 551.25

C.I. = Rs. (551.25 - 500) = Rs. 51.25


13. The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

A. Rs. 2.50 B. Rs. 3

C. Rs. 3.75 D. Rs. 4

E. None of these


Answer: Option B

Explanation:

S.I. = Rs1200 x 10 x 1

= Rs. 120.100

C.I. = Rs. 1200 x 1 +5 2

- 1200 = Rs. 123.100

Difference = Rs. (123 - 120) = Rs. 3.


14. The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

A. 8 B. 10

C. 12 D. Cannot be determined

E. None of these


Answer: Option A

Explanation:

15000 x 1 +R 2

- 15000 -15000 x R x 2

= 96100 100

15000 1 +R 2

- 1 -2R

= 96100 100

15000(100 + R)2 - 10000 - (200 x R)

= 9610000

R2 =96 x 2

= 643

R = 8.

Rate = 8%.


15. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:

A. Rs. 400 B. Rs. 500

C. Rs. 600 D. Rs. 800


Answer: Option B

Explanation:

Let the sum be Rs. P.

10

10011

10

525 x 100

21 Sum = Rs . 2500.

2500 x 5 x 4

100View Answer Workspace Report Discuss in Forum

1. What is the rate of compound interest?

I.The principal was invested for 4 years.

II.The earned interest was Rs. 1491.

A. I alone sufficient while II alone not sufficient to answer

B. II alone sufficient while I alone not sufficient to answer

C. Either I or II alone sufficient to answer

D. Both I and II are not sufficient to answer

E. Both I and II are necessary to answer


Answer: Option D

Explanation:

Let Principal = Rs. P and Rate = R% p.a. Then,

Amount = Rs. P 1 +R 4

100

C.I. = P 1 +R 4

- 1100

P 1 +R 4

- 1 = 1491.100

Clearly, it does not give the answer.

Correct answer is (E).


2. What will be compounded amount?

I.Rs. 200 was borrowed for 192 months at 6% compounded annually.

II.Rs. 200 was borrowed for 16 years at 6%.







Answer: Option C

Explanation:

I. Amount = Rs. 200 x 1 +6 16

100

II. Amount = Rs. 200 x 1 +6 16

100

Thus, I as well as II gives the answer.

Correct answer is (C).


3. An amount of money was lent for 3 years. What will be the difference between the simple and the compound interest earned on it at the same rate?

I.The rate of interest was 8 p.c.p.a.

II.The total amount of simple interest was Rs. 1200.







Answer: Option E

Explanation:

Given: T = 3 years.

I. gives: R = 8% p.a.

II. gives: S.I. = Rs. 1200.

Thus, P = Rs. 5000, R = 8% p.a. and T = 3 years.

Difference between C.I. and S.I. may be obtained.

So, the correct answer is (E).


1. What is the rate of interest p.c.p.a.?

I.An amount doubles itself in 5 years on simple interest.

II.Difference between the compound interest and the simple interest earned on a certain amount in 2 years is Rs. 400.

III.Simple interest earned per annum is Rs. 2000.

A. I only

B. II and III only

C. All I, II and III

D. Any two of the three

E. I only or II and III only


Answer: Option E

Explanation:

I.P x R x 5

= P R = 20.100

II. P 1 +R 2

- P -P x R x 2

= 400 PR2 = 4000000.100

100

III.P x R x 1

= 2000 PR = 200000.100

PR2

=4000000

R = 20.PR 200000

Thus I only or (II and III) give answer.

Correct answer is (E).


2. What will be the compound interest earned on an amount of Rs. 5000 in 2 years?

I.The simple interest on the same amount at the same rate of interest in 5 years is Rs. 2000.

II.The compound interest and the simple interest earned in one year is the same.

III.The amount becomed more than double on compound interest in 10 years.

A. I only

B. I and II only

C. II and III only

D. I and III only

E. None of these


Answer: Option A

Explanation:

P = Rs. 5000 & T = 2 years.

I. S.I. on Rs. 5000 in 5 years is Rs. 2000.

5000 x R x 5= 2000 R = 8.

100Thus I only gives the answer.

Correct answer is (A).


1. Mr. Gupta borrowed a sum of money on compound interest. What will be the amount to be repaid if he is repaying the entire amount at the end of 2 years?

I.The rate of interest is 5 p.c.p.a.

II.Simple interest fetched on the same amount in one year is Rs. 600.

III.The amount borrowed is 10 times the simple interest in 2 years.

A. I only

B. III only

C. I or II only

D. II and Either I or III only

E. All I, II and III are required


Answer: Option D

Explanation:

I. gives, Rate = 5% p.a.

II. gives, S.I. for 1 year = Rs. 600.

III. gives, sum = 10 x (S.I. for 2 years).

Now I, and II give the sum.

For this sum, C.I. and hence amount can be obtained.

Thus, III is redundant.

Again, II gives S.I. for 2 years = Rs. (600 x 2) = Rs. 1200.

Now, from III, Sum = Rs. (10 x 1200) = Rs . 12000.

Thus, Rate =100 x 1200

= 5% p.a.2 x 12000

Thus, C.I. for 2 years and therefore, amount can be obtained.

Thus, I is redundant.

Hence, I or III redundant.


2. What is the compound interest earned at the end of 3 years?

I.Simple interest earned on that amount at the same rate and for the same period is Rs. 4500.

II.The rate of interest is 10 p.c.p.a.

III.Compound interest for 3 years is more than the simple interest for that period by Rs. 465.

A. I and II only

B. II and III only

C. I and III only

D. Either II or III only

E. Any two of the three


Answer: Option D

Explanation:

I. gives, S.I for 3 years = Rs. 4500.

II. gives, Rate = 10% p.a.

III. gives, (C.I.) - (S.I.) = Rs. 465.

Clearly, using I and III we get C.I. = Rs. (465 + 4500).

Thus, II is redundant.

Also, from I and II, we get sum =100 x 4500

= 15000.10 x 3

Now C.I. on Rs. 15000 at 10% p.a. for 3 years may be obtained.

Thus, III is redundant.

Either II or III is redundant.


1. A sum of money amounts to Rs. 1352 in two years at 4% per annum of compound interest. The sum isa. Rs. 1200 b. Rs. 1250 c. Rs. 1280 d. Rs. 1296 2. A person invested part of Rs. 45,000 at 4% and the rest at 6%. If his annual income from both is equal, then what is the average rate of interest?a. 4.6% b. 4.8% c. 5.0% d.5.2% 3. A sum of money lent at simple interest amounts to Rs. 880 in two years and to Rs. 920 in three years. The sum of money (in Rs.) isa. 700 b. 760 c. 784 d. 800 4. The compound interest on a sum for 2 years is Rs 832 and the simple interest on the same sum at the same rate for the same period is Rs. 800. What is the rate of interest?a. a. 6% b. 8% c. 10% d. 12% 5. A person invested some amount at the rate of 12% simple interest and the remaining at 10%. He received yearly an interest of Rs. 130. Had he interchanged the amounts invested, he would have received an interest of Rs. 134. How much money did he invest at different rates?a. Rs. 500 @ 10%, Rs. 800 @12% b. Rs. 700 @ 10%, Rs. 600 @12%c. Rs. 800 @ 10%, Rs. 400 @12% d. Rs. 700 @ 10%, Rs. 500 @12%

6. The simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4,000 for 2 years at 10% per annum. What is the sum placed on simple interest?a. Rs 1,550 b. Rs. 1,650 c. Rs. 1,750 d. Rs. 2,000 7. A certain sum at a simple interest amounts to Rs. 1350 in 5 years to Rs. 1620 in 8 years. What is the sum?a. 700 b. 800 c. 900 d. 1000 8. The sum which amounts to Rs. 364.80 in 8 years at 3.5% simple interest per annum is:a. Rs. 285 b. Rs. 280 c. Rs. 275 d. Rs. 270 9. The difference between the simple interest received from two banks on Rs. 500 for two years is Rs. 2.50. What is the difference between their rates?a. 0.25% b. 0.5% c. 1% d. 2.5% 10. The compound interest on Rs. 36,000 lent at 10% per annum for 5/2 years, if the interest is compounded annually, isa. Rs. 9,000 b. Rs. 9,738 c. Rs. 11,916 d. Rs. 7,560 11. A man invests half his capital at the rate of 10% per annum, 1/3 at 9%and the rest at 12%per annum. The average rate of interest per annum, will he gets, isa.9% b. 4.5 % c 5.5% d. 4.5%

25 Multiple Choice Questions

1.Find the interest. Round to the nearest cent.

$1280 at 12% for 9 months

A) Interest = $17.07

B) Interest = $115.20

C) Interest = $1382.40

D) Interest = $11,520.00

2. Find the value.

s 15,0.09 (Please refer to the attachments)

A) 33.003

B) 40.472

C) 29.361

D) 26.019

3. Find the actual interest rate paid, to the nearest tenth, on the simple discount note.

$50,000; discount rate 8%; length of loan 6 months.

A) 9.3%

B) 8.3%

C) 7.3%

D) 10.3%

4. Solve the problem.

How much must Harry's Hardware deposit be at 12.5% interest for 120 days in order to earn

$600.00 interest?

A) $14,400

B) $14,600

C) $7200

D) $4800

5. Find the periodic payment that will render the sum.

S = $65,000, interest is 4% compounded annually, payments made at the end of each year for

5years.

A) $6110.96

B) $5284.68

C) $12,000.77

D) $3904.96

6. Find the compound amount for the deposit. (Round to the nearest cent).

$5000 at 7% compounded annually for 6 years.

A) $7012.76

B) $7100.00

C) $7503.65

D) $6750.00

7. Find the future value of the ordinary annuity. Interest is compounded annually, unless

otherwise indicated.

R = $900, i = 7% interest compounded semiannually for 10years.

A) $23,637.33

B) $23,721.46

C) $25,451.71

D) $51,166.00

8. Find the value.

s 17, 0.01 (Please refer to the attachments)

A) 50.396

B) 44.501

C) 39.19

D) 53.592

9. Find the compound interest earned by the deposit. (Round to the nearest cent).

$1800 at 6% compounded quarterly for 6 years

A) $648.00

B) $753.33

C) $1968.20

D) $773.11

10. Find the amount that should be invested now to accumulate the following amount, if the

money is compounded as indicated.

$12,400 at 12.6% compounded continuously for 6 years.

A) $5822.31

B) $25,168.77

C) $4582.31

D) $26,408.77

11. Find the effective rate corresponding to the given nominal rate. Round results to the nearest

0.01 percentage points.

14% compounded monthly

A) 14.49%

B) 14.93%

C) 3.82%

D) 14.75%

12. Find the payment necessary to amortize the loan.

$1600; 12% compounded quarterly; 8 quaterly payments.

A) $227.99

B) $322.09

C) $227.93

D) $205.49

13. Find the periodic payment that will render the sum.

S = $26,000, interest is 18% compounded monthly, payments made at the end of each month for

3years.

A) $549.96

B) $7278.02

C) $692.62

D) $576.30

14. Find the value.

s 21,0.038 (Please refer to the attachment)

A) 31.276

B) 29.168

C) 33.465

D) 57.592


$710 at 9% compounded annually for 8 years.

A) $447.30

B) $587.91

C) $511.20

D) $704.72

16. Find the actual interest rate paid, to the nearest tenth, on the simple discount note.

$36,000; discount rate 6.0%; length of loan 4 months.

A) 5.1%

B) 8.1%

C) 6.1%

D) 7.1%

17. Find the amount of each payment to be made into a sinking fund so that enough will be

present to accumulate the following amount. Payments are made at the end of each period. The

interest rate given is per period.

$90,000; money earns 7% compounded semiannually for 16 and a half years.

A) $1569.74

B) $1012.23

C) $1418.37

D) $1491.52


$15,000 at 4% compounded quarterly for 1/2year.

A) $1224.00

B) $301.50

C) $1200.00

D) $297.06

19. Find the indicated term of the geometric sequence.

a = 5, r =3/4 ; Find the 3rd term.

A) 16/45

B) 64/135

C) 135/64

D) 45/16

20. Find the indicated term of the geometric sequence.

a = 1/3 , r = 1/2 ; Find the 8th term.

A) 1/128

B) 1/768

C) 1/384

D) 1/48

21. Find the present value of the ordinary annuity.

Payments of $2000 made annually for 10years at 12% compounded annually.

A) $11,875.40

B) $11,300.45

C) $12,955.00

D) $11,304.40

22. Find the future value of the ordinary annuity. Interest is compounded annually, unless

otherwise indicated.

R = $2500, i = 7% interest compounded quarterly for 16years.

A) $98,536.84

B) $290,758.26

C) $433,615.41

D) $283,300.51

23. Find the effective rate corresponding to the given nominal rate. Round results to the nearest

0.01 percentage points.

9% compounded monthly.

A) 1.81%

B) 9.38%

C) 9.31%

D) 9.20%

24. Solve the problem.

Novelties-and-Such borrowed $6700 for 75days and paid $213.39 in interest. Find the rate of

interest on the loan.

A) 16.0%

B) 15.7%

C) 15.5%

D) 15.0%

25. Find the sum of the first five terms of the geometric sequence.

a =3/2 , r = 2

A) 1/4

B) 93

C) 5

D) 93/2

This question has the following supporting file(s):

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