practice test 3 ans key

1) Which of the following numbers is divisible by 4?

a) 1123346b) 10224c) 100234

Answer:b) 10224. This is the only option with last two digits divisible by 4

2) At 15:15 pm railway time, what will be the angle between minute and hour hand?

a) 0 degreesb) 180 degreesc) 360 degreesd) Both a and c

Answer:d) At 15:15 both minute and hour hands will be in same position. Hence the angle between them will be zero degrees. However 360 degree also means both minute and hour hands are in same position. Hence correct answers are both zero and 360 degrees

3) Let Raj be 3 years older than Ravi and Hema be two years younger than Ravi. Raj is three times as old as Rahul .who is Hema's brother. The ratio of the ages of Hema and Her brother is 3:2. Find by how much percentage Raj's age is more than Hema's when Raj will be 20 years old.

a) 33.33b) 40c) 60

Answer: 33.33

4) A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?Explanation: We can select the 5 member team out of the 10 in 10C5 ways = 252 ways. The captain can be selected from amongst the remaining 5 players in 5 ways. Therefore, total ways the selection of 5 players and a captain can be made = 252*5 = 1260.

5) In a circular racetrack of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time after the start?

Explanation:

Since the track is a circular track A and B will meet every 50 seconds. i.e. 100 / (10-8). Since it is a multiple of 50 they will be meeting at the starting point every 50 Seconds. If you multiply 15 x 50 you will get 750 and after the second 50 it will be 1500. All of them will meet at the starting point after 100s

6) The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pens and two erasers is Rs.32. How much will three pencils, three pens and three erasers cost?

Explanation:

x + 2y + 4z = 22 -------->1 5x + 4y + 2z = 32 ------->2 multiply eqn (2) by 2 and substract from eqn(1) dividing by 3 we get 3x + 2y = 14--------->3 multiplying eqn (1) by 5 and subtracting eqn (2) then divide by 6 we get y + 3z = 13---------->4 Adding eqn (3) and (4) we get 3x + 3y +3z = 27

7) A is 20 percent more efficient than B. If the two persons can complete a piece of work in 60 days. In how many days A working alone can complete the work?

Explanation:

Ratio of time taken by A and B is 1: 1.2 i.e. 5:6 Let the time taken by A be 5x and by B be 6x , 1/5x + 1/ 6x = 1/60 => x =22. Time taken by A = 5 * 22 = 110

8) On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?

Explanation:

In any case the one legged people will all require one shoe per head. From the remaining, half will go barefooted and therefore they need no shoes. And the rest will need two shoes per head. And this works out at one shoe per person for the others. Therefore for the whole population on the average one shoe per head

9) Look at this series: 14, 28, 20, 40, 32, 64, what number should come next?

Explanation:

This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8.

10) Two pipes A and B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes?

Explanation:

Let B be closed after x minutes. Then, part filled by (A + B) in x min. + part filled by an in (18 - x) min. = 1. X {1/24 + 1/32] + (18 - x) X 1/24 = 1 or 7x/96 + (18 - x)/24 = 1 7x + 4(18 -x) = 96 or x=8 Hence, B must be closed after 8 minutes

11) At a car park there are 100 vehicles, 60 of which are cars, 30 are vans and the remaining are Lorries. If every vehicle is equally likely to leave, find the probability of car leaving second if either a lorry or van had left first :

Explanation:

Let S be the sample space and A be the event of a van leaving first. n(S) = 100 n (A) = 30 Probability of a van leaving first: P (A) = 30/100 = 3/10 Let B be the event of a lorry leaving first. n (B) = 100 - 60 - 30 = 10 Probability of a lorry leaving first: P (B) = 10/100 = 1/10 If either a lorry or van had left first, then there would be 99 vehicles remaining, 60 of which are cars. Let T be the sample space and C be the event of a car leaving. n (T) = 99 n(C) = 60 Probability of a car leaving after a lorry or van has left: P(C) = 60/99 = 20/33

12) If Rs. 782 be divided into three parts, proportional to 1/2: 2/3: 3/4, then the first part is: www.allindiajobs.inExplanation:

Given ratio = 1/2: 2/3:3/4 = 6: 8: 9 1st part = 782*(6/22) = 213.2727.. Approximately equals to 213 www.allindiaobs.in

13) A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse . But after a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owing the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?

Explanation:

The total expenses are $60 + $80 = $140 and the total earnings are $70 +$90 = $160. The overall profit = $160 - $140 = $ 20

14) When I become as old as my father is now, I will be 5 times the age of my son. In addition, my son will be 8 yrs older than What I am now. If the sum of my father's age and my age is equal to100. How old is my son now?

Explanation:

Let us consider the ages of the man, his father & his son is m, f & s respectively. Then according to the problem F=5s............ (i) S + f-m = m+8........ (ii) F + m = 100........... (iii) Putting (i) in (iii) we get 5s+m=100........ (iv) Putting (i) in (ii) we get 6s-2m=8............ (v) Equating (iv) & (v) we get s = 13, f = 65 & m = 36

15) Nine persons went to the hostel for taking their meals, 8 of them spent Rs.12 each on their meals and ninth spend Rs. 8 more then the average expenditure of all nine. What is the total money spent by them?

Explanation:

Let average expenditure be x Then 8*12 +(x+8) = 9x i.e. 104 + x = 9x; 8x = 104 x = 13 Therefore total money spent is 9x = 9*13 =117

16) The average of a list of 6 numbers is 20. If we remove one of the numbers, the average of the remaining numbers is 15. What is the number that was removed?

Explanation:

The removed number could be obtained by difference between the sum of original 6 numbers and the sum of remaining 5 numbers i.e. sum of original 6 numbers - sum of remaining 5 numbers sum of original 6 numbers = 20 × 6 = 120 sum of remaining 5 numbers = 15 × 5 = 75 Number removed = sum of original 6 numbers - sum of remaining 5 numbers 120 - 75 = 45

17) In the word ORGANISATIONAL, if the first and second, third and fourth, fifth and sixth letters are interchanged, what would be the 12th letter from right?

Explanation:

After interchanging R O A G I N S A T I O N A L 14 13 12 11 10 9 8 7 6 5 4 3 2 1

18. Two cyclists begin training on an oval racecourse at the same time. The professional cyclist completes each lap in 4 minutes; the novice takes 6 minutes to complete each lap. How many minutes after the start will both cyclists pass at exactly the same spot where they began to cycle?A. 10B. 8C. 14D. 12Answer: D

The faster cyclyst comes to the starting point for every 4 min so his times are 4, 8, 12, ......... The slower cyclist comes to the starting point for every 6 min so his times are 6, 12, 18, ......... So both comes at the end of the 12th min.

19.In a class composed of x girls and y boys what part of the class is composed of girlsA.y/(x + y)B.x/xyC.x/(x + y)D.y/xy

Ans. C20.What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream(2 pt.=1 qt. and 4 qt.=1 gal) A.16B.24C.30D.64Ans. D Directions: (Q. 21 – 25): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.

(i) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.(ii) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.(iii) If the data in both statements I and II even together are not sufficient to answer the question.(iv) If the data in both statements I and II together are necessary to answer the question.

21. P is in which direction of Q?

I. S is to the west of Q, which is to the east of T.

II. R is to the south of T, which is to the south of P.

a) i b) ii c) iii d) iv

22. In a certain code language what does ‘rose’ mean?

I. ‘ho nu ma’ means ‘rose and apple’ in that code language.

II. ‘po do ho’ means ‘rose is beautiful’ in that code language.


23. Who among A, E, I, O and U is the tallest?

I. I is taller than A, O and E but shorter than U.

II. O and E are shorter than U but taller than A and I.


24. M, N, O, P and Q are seated around a circular table facing the center. Who is on the immediate right of N?

I. P is sitting between O and M.

II. N is on the immediate right of M.


25. What is the relation between F and J?

I. X has two daughters, one of whom is F.

II. The mother of F, Y, has only two daughters, one of whom, K, is married to J.


Directions (Q. 26 – 30): Read the following information carefully and answer the questions given below it:Four students P, Q, R and S each working under the super vision of one of the four professors A, B, C and D made their final year MBA Project Presentations one by one, one each in the areas of Finance, Marketing, Systems and Human Resource Management (HRM). Each professor is an expert in only one of the above areas and supervised exactly one of the above students in his own area. The following are the clues:

(i) First presentation was made by R.(ii) Prof. B works in Finance.(iii) Prof. D was P’s supervisor.(iv) The last presentation was in the Systems area.(v) S’s project was in the HRM area.(vi) Prof. B’s student’s presentation followed that of Prof. C’s student.

26. In which area was R’s Project?(a) Marketing (b) Finance (c) Systems (d) HRM 27. What is the area of expertise of Prof. D?(a) HRM (b) Marketing (c) Systems (d) Finance 28. In which area was the second presentation?(a) Finance (b) Marketing (c) Systems (d) Cannot be determined 29. Which student’s project did Prof. B supervise?(a) Q (b) R (c) S (d) P 30. What is the area of expertise of Prof. A?(a) HRM (b) Systems (c) Marketing (d) Either Marketing of HRM Directions (Q. 31 – 35): Five friends Manish, Ashish, Rahul, Kapil and Pravin are musician, architect, doctor, engineer and artist by profession and live in Lucknow, Mumbai, Kolkata, Delhi and Pune but not in that order.

(i) Pravin and Rahul do not live in Lucknow or Pune, and neither of them is an architect or doctor.(ii) Manish and Ashish are not artist or engineer and they do not live in Delhi or Lucknow.(iii) Kapil is neither a doctor nor a musician.(iv) The person living in Lucknow is neither an artist nor an engineer.(v) Manish does not live in Kolkata and Ashish is not a doctor.(vi) The musician does not live in Pune or Mumbai.(vii) Pravin is not an artist.(viii) The artist does not live in Delhi.

31. Who lives in Lucknow?(a) Ashish (b) Kapil (c) Manish (d) Cannot say32. Kapil is a/an(a) Musician (b) Artist (c) Architect (d) Cannot say33. Who is the artist?(a) Rahul (b) Pravin (c) Ashish (d) Cannot say34. The engineer who lives in Delhi is(a) Kapil (b) Pravin (c) Rahul (d) Manish35. The musician lives in(a) Kolkata (b) Delhi (c) Lucknow (d) Cannot sayQuestions (36 – 40): J, L, M, N, O and P are members of a spy network. For security reasons, only certain spies are able to contact other spies. The only contacts allowed are: J can contact both L and N.O can be contacted by L, M and P.N can contact M.O can contact both L and N.P can be contacted by M.A spy can receive a message from any spy who can contact him and, in turn, relay the message to any spy he is able to contact.36. Which of the following spies can not be contacted by any other spy in the network?(a) J (b) M (c) N (d) O37. N can get a message to which of the following spies by using exactly one intermediate contact?I. O II. L III. P(a) I only (b) III only (c) I and III only (d) II and III only38. How O can send a message to M?(a) O can contact M directly (b) O can send a message to M via J(c) O can send a message to M via L (d) O can send a message to M via N39. If, for security reasons, O cannot be contacted, which of the following messages can be sent, either directly or with an intermediary?(a) J to P (b) L to M (c) L to N (d) M to L40. If the following messages were sent using the smallest possible number of intermediaries, which message would require the greatest number of intermediaries?(a) J to P (b) L to O (c) M to N (d) N to O

practice test 3 ans key

Documents