average rip v day 4 · r.a.c.e rapid academy of competitive exams [unit of seeman education]...

Real Intensive

Quantitative Aptitude

AverageExclusively prepared for RIP V (IBPS PO) Students

#38, Burkit Road, T Nagar, Chennai

Ph: 044 6456 3030, Mob:

Blog: Http://raceinstitute.blogspot.in

Real Intensive

Program

Quantitative Aptitude

AveragesExclusively prepared for RIP V (IBPS PO) Students

#38, Burkit Road, T Nagar, Chennai

Ph: 044 6456 3030, Mob: 9043303030, www.theRace.in


Real Intensive

Program V Quantitative Aptitude

s Exclusively prepared for RIP V (IBPS PO) Students

#38, Burkit Road, T Nagar, Chennai-17

9043303030, www.theRace.in


R.A.C.E

Rapid Academy of Competitive Exams [Unit of Seeman Education]

Exclusively prepared for RIP V (IBPS PO) Students

NO. 38, Burkit road, T. Nagar, Chennai-17 Ph: 044-64563030 Mob: 9043303030 www.theRace.in

2

Averages

1. Find the average of the following set of scores:

152, 635, 121, 423, 632, 744, 365, 253, 302

(a) 403 (b) 396 (c) 428 (d) 383 (e) None of these


214, 351, 109, 333, 752, 614, 456, 547


3. What will be the average of the following set of scores?

48, 47, 64, 91, 72, 68, 93

(a) 65 (b) 69 (c) 72 (d) 61 (d) 75

4. Find the average of the following set of numbers:

155, 128, 137, 140, 160, 132


5. What is the average of the following set of numbers?

38, 92, 45, 25, 60


6. What is the average of the following numbers?

42 34 56 58 60



157, 348, 443, 221, 360, 795, 841, 101

(a) 443 (b) 368.50 (c) 408.25 (d) 348 (e) None of these

8. The average of 5 positive numbers is 344. The average of the first two numbers is 650 and the average

of the last two numbers is 100. What is the third number?

(a) 200 (b) 210 (c) 180 (d) Cannot be determined (e) None of these


746, 348, 1163, 49, 214, 358, 79, 163


10. The average of the present ages of Sachin and Saurabh is 35 years. If Sachin is 8 years older than

Saurabh, what is the Saurabh’s present age?

(a) 30 years (b) 34 years (c) 32 years (d) 40 years (e) None of these

R.A.C.E




3

11. When the present age of mother is added to the present age of the daughter, the total is 40 years.

What will be their total age in years after 5 years?



354, 281, 623, 518, 447, 702, 876


13. What will be the average of the following set of numbers?

678, 193, 285, 494, 342, 762


14. The body weight of seven boys is recorded as 67 kg, 45 kg, 87 kg, 65 kg, 86 kg, 54 kg and 58 kg.

What will be the average body weight of all seven boys?

(a) 68 kg (b) 66 kg (c) 64 kg (d) 62 kg (e) None of these

15. The average of 5 consecutive even numbers A, B, C, D and E is 106. What is the product of B and D?



125, 236, 334, 486, 564, 625, 702, 800


17. The average of four consecutive even numbers P, Q, R and S respectively (in increasing order) is 51.

What is the product of P and R?



69, 89, 34, 76, 54, 68, 28, 46


19. Last month the number of employees in company A was �

� rd the number of employees in company B

and the average number of employees of both the companies was 718. Company A recruited one more

employee this month. What is the total number of employees in Company A at present?

(a) 380 (b) 370 (c) 360 (d) 340 (e) 350

20. What is the average age of a family of five members, whose ages are 42, 49, 56, 63 and 35 years

respectively?


21. The average of 5 consecutive even numbers A, B, C, D and E is 52. What is the product of B and E?


R.A.C.E




4

22. Average age of 36 children of the class is 15 years. 12 more children joined whose average age is 16

years. What is the average age of all the 48 children together?

(a) 15.25 years (b) 15.5 years (c) 15.3 years (d) 15.4 years (e) None of these

23. The present age of Suraj is six times the age of Vijay. Also, Vijay’s present age is 20 years less than

Suraj’s age. What is Suraj’s age. What is Suraj’s present age?


24. A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is

the product of C and E?


25. The average of five numbers is 34.4. The average of the first and the second number is 46.5. The

average of the fourth and the fifth number is 18. What is the third number?


26. The average of four consecutive even numbers A, B, C and D respectively is 25. What is the product of

A and C?


27. The average of four consecutive even numbers A, B, C and D respectively is 37. What is te product of

A and C?


28. The average of four consecutive odd numbers A, B, C and D respectively is 54. What is the product of

A and C?


29. The average of five consecutive odd numbers in 41. What is the largest number?


30. Average weight of three boys P, T and R is 54 �

� kgs while the average weight of three boys, T, F and G

is 53 kgs. What is the average weight of P, T, R, F and H?

(a) 53.8 kgs (b) 52.4 kgs (c) 53.2 kgs (d) Can’t be determined (e) None of these

31. The average age of five officers in a department is 32 years. If the age of their supervisor is added the

average increased by 1. What is the supervisor’s age?


32. The marks of six boys in a group are 48, 59, 87, 37, 78, and 57. What are the average marks of all six

boys?


R.A.C.E




5

33. At present Sheetal is three times Surabhi’s age. After 7 years Sheetal will be twice Surabhi’s age then.

How many times will Sheetal’s age be in another fourteen years time with respect to Surabhi’s age then?

(a) 1 (b) 3 (c) 2 (d) 1.5 (e) None of these


42, 63, 29, 36, 98, 15, 23, 74

(a) 48.3 (b) 43.8 (c) 45.7 (d) 47.5 (e) None of these

35. What will be the average of the following set of scores (Rounded off to the nearest integer)?

(a) 46, 54, 62, 68, 56, 29, 58

(a) 45 (B) 59 (c) 62 (d) 48 (e) 53

36. The body weight of seven students of a class is recorded as 54 kgs, 78 kgs, 43 kgs, 82 kgs, 67 kgs,

42 kgs and 75 kgs. What is the average body weight of all the seven students?

(a) 69 kgs (b) 63 kgs (c) 71 kgs (d) 73 kgs (e) None of these


637, 885, 692, 348, 213, 109, 505, 751


38. The average weight of 60 students in a class was calculated as 40 kgs. Later it was found that the

weight of one of the students was calculated as 36 kgs., whereas his actual weight was 33 kgs. What is

the actual average weight of the students in the class?

(a) 39.90 kgs (b) 39.95 kgs (c) 39 kgs (d) 38 kgs (e) None of these

39. The present age of Anuj, Sunil, Manoj, Suraj, Mansi and Preeti are 24 years, 36 years, 17 years, 43

years, 16 years and 8 years respectively. What is their average present age?


40. The height of 5 boys is recorded as, 146 cms, 154 cms, 164 cms, 148 cms and 158 cms. What is the

average height of all these boys?

(a) 152 cms (b) 158 cms (c) 156 cms (d) 154 cms (e) None of these


78, 69, 54, 21, 94, 48, 77


42. The average of five numbers is 51.4. The average of the first and the second number is 30.5. The



43. Find the missing number if the average of all the eight numbers is 474.

533, 128, 429, 225, ____, 305, 601, 804

R.A.C.E




6


44. The body weight of six boys is recorded as 54 kgs, 64 kgs, 75 kgs, 67 kgs, 45 kgs and 91 kgs. What is

the average body weight of all six boys?



294, 903, 124, 382, 183, 466


46. Ram’s present age is one-sixth of his father’s age. If the difference between their present ages is 35

years, what is his father’s present age?


47. The average of 5 consecutive odd numbers A, B, C, D and E are respectively in ascending order is 37.

What is the product of B and D?


48. The height of four buys is recorded as 142 cms, 156 cms, 162 cms, and 178 cms. What is the average

height of all four boys?

(a) 160 cms (b) 158.5 cms (c) 159.5 cms (d) 162 cms (e) None of these


351, 244, 479, 58, 105, 78, 483, 536


50. The average of 5 consecutive even numbers is 28. What is the sum of the largest number and the

square of the smallest number?


51. The average weight of 15 girls was recorded as 54 kgs. If the weight of the teacher was added, the

average increased by two kgs. What was the teacher’s weight?



539, 741, 326, 461, 654, 952, 128, 543



556, 224, 778, 442, 336, 112


54. The average height of four girls was recorded as 150 cm. If the average of the heights of three girls

out of four was 148 cm, what was the height of the fourth girl?

R.A.C.E




7

(a) 156 cm (b) 168 cm (c) 170 cm (d) 162 cm (e) None of these

55. The average height of 27 persons was recorded as 162 cm. If the height of Shreyas was deleted from

the observation, the average height reduced by 1 cm. What was Shreyas’ height?


56. The present age of Mr. Sanyal is 3 times the present age of his son. Six years hence the ratio of their

ages will be 5:2 respectively. What is the present age of Mr. Sanyal?


57. The average of five consecutive odd numbers is 84 percent of the highest number. What is the sum of

the first two of these numbers?



221, 231, 441, 359, 665, 525


59. The average height of 21 girls was recorded as 148 cms. If the teacher’s height was added, the

average increased by one. What was the teacher’s height?

(a) 156 cms (b) 168 cms (c) 170 cms (d) 162 cms (e) None of these

60. The average age of a brother and sister was 35 years, 5 years ago. What will be their average age (in

years) at present?

(a) 37.5 (b) 42 (c) 80 (d) 40.5 (e) None of these


456, 328, 489, 453, 511, 328, 222, 205


62. The average of four consecutive even numbers P, Q, R and S respectively is 55. What is the product of

Q and S?



341, 292, 254, 375, 505, 639


64. If 36a + 36b = 576, then what is the average of a and b?


65. Find the average of following set of scores:

180, 168, 176, 188, 164, 174


R.A.C.E




8


313, 252, 161, 727, 525, 818


67. The average of five numbers is 56.4. The average of the first and the second number is 53. The



68. The average of five positive numbers is 213. The average of the first two numbers is 233.5 and the

average of last two numbers is 271. What is the third number?


69. The average of 4 positive integers is 59. The highest integer is 83 and the lowest integer is 29. The

difference between the remaining two integers is 28. Which of the following integers is larger than the

remaining two integers?



B and D?


71. The average of five numbers is 40.8. The average of the first and the second number is 46. The

average of the fourth and fifth number is 37. What is the third number?


72. The body weight of six boys is recorded as 42 kg, 72 kg, 85 kg, 64 kg, 54 kg and 73 kg. What is the

average body weight of all the seven students?


73. The sum of the present ages of Ram and Vijay is 72 years. Also the sum of present ages of Ram and

Shyam is 42 years. What is the present age of Vijay?


74. The average of five consecutive numbers A, B, C, D and E is 48. What is the product of A and E?



568, 460, 349, 987, 105, 178, 426



34, 89, 37, 144, 78, 240, 128, 98


R.A.C.E




9

77. Average of four consecutive odd numbers is 106. What is the third number in ascending order?


78. At present Barun is twice Vishal’s age and half of Tanvi’s age. After four years Barun will be 1.5 times

Vishal’s age and Tanvi will be 2.5 times Vishal’s age then. What is Tanvi’s present age?


79. What will be the average of the following set of scores (Rounded off to the nearest integer)?

62, 76, 42, 84, 21, 47, 28

(a) 57 (b) 54 (c) 51 (d) 62 (e) 66

80. The average of five positive numbers is 308. The average of first two numbers is 482.5 and the

average of last two numbers is 258.5. What is the third number?


81. The average of five numbers is 49. The average of the first and the second numbers is 48 and the

average of the fourth and fifth number is 28. What is the third number?


82. The average of four consecutive numbers A, B, C and D respectively id 56.5. what is the product of A

and C?



450, 1050, 12, 390, 143, 286, 550, 999


84. What is the average of the following set of numbers?

112, 102, 133, 116, and 127


85. The body weight of six boys is recorded as 73 kgs, 49 kgs, 76 kgs, 89 kgs, 58 kgs and 39 kgs. What is

the average body weight of all six boys?


86. Find the missing number if the average of all the eight numbers is 472.

623, 164, 529, 425, ___, 205, 301, 824



495, 321, 673, 553, 235, 723


R.A.C.E




10

88. A, B, C, D and E are five consecutive even numbers. Average of A and E is 46. What is the highest

number?


89. Average of five numbers is 61. If the average of first and third numbers is 69 and the average of

second and fourth numbers is 69. What is the fifth number?



125, 133, 298, 345, 446, 507


91. The average of 5 consecutive even numbers A, B, C, D and E respectively is 74. What is the product of

C and E?


92. The mean of five consecutive numbers is 7. Which is the highest number?

(a) 8 (b) 10 (c) 7 (d) cannot be determined (e) None of these

93. The body weight of six men is recorded as 67 kg, 89 kg, 98 kg, 83 kg, 52 kg and 79 kg. What is the

average body weight of all the six men?


94. Find the average of the following set of scores.

432, 623, 209, 378, 908, 168



148, 88, 184, 166, 96, 122



59, 84, 44, 98, 30, 40, 58

(a) 62 (b) 66 (c) 75 (d) 52 (e) 59

97. The average of 5 consecutive odd numbers A, B, C, D and E is 47. What is the product of A and D?


98. The average of 60 boys in a class was calculated as 12 years. It was later realised that the actual age

of one of the boys in the class was 12.5 years but it was calculated as 14 years. What is the actual

average age of the boys in the class?

(a) 11 years (b) 11.275 years (c) 11.50 years (d) 11.975 years (e) None of these

R.A.C.E




11

99. Present age of Sarita is five times the age of her son. Five years ago her age was 25 times the age of

her son that time. What is Sarita’s present age?


100. The average of five numbers is 371.8. The average of the first and second number is 256.5 and the

average of the fourth and fifth number is 508. Which of the following is the third number?

(a) 360 (b) 310 (c) 430 (d) 380 (e) 330

101. At present Sofia is 1.5 times Shalu’s age and twice Saloni’s age. After six years Sofia will be 1.4

times Shalu’s age and Saloni will be 0.8 times Shalu’s age then. What is Saloni’s present age?


102. The average of five numbers is 50.8. the average of the first and the second numbers is 29. The

average of the fourth and the fifth numbers is 66.5. What is the third number?


103. A, B, C, D and E are five consecutive odd numbers. Average of A and C is 59. What is the smallest

number?


104. The average of five numbers is 57.8. The average of the first and the second numbers is 77.5 and

the average of the fourth and fifth numbers is 46. What is the third number?


105. Average weight of 19 men is 74 kgs and the average weight of 38 women is 63 kgs. What is the

average weight (rounded off to the nearest integer) of all the men and the women together?

(a) 59 kgs (b) 65 kgs (c) 69 kgs (d) 67 kgs (e) 71 kgs


746, 1020, 321, 12, 63, 428, 226, 144

(a) 367.5 (b) 370 (c) 360 (d) 368.75 (e) None of these

107. Rahul purchased 124 notebooks. Sunil purchased 132 notebooks. Manish purchased 146 notebooks.

What was the average number of notebooks they purchased?


108. At present Satish is four times Madhur’s age. After eight years Satish will be 2.5 times Madhur’s age

then. How many times will Satish’s age be in another eight years time with respect to Madhur’s age then?


109. Average of five consecutive odd numbers is 95. What is the fourth number in descending order?


R.A.C.E




12

110. The average of four consecutive odd numbers P, Q, R and S respectively (in increasing order) is 104.

What is the sum of P and S?


111. The average age of a man and his son is 30 years. The ratio of their ages is 4:1 respectively. What is

the son’s age?

(a) 12 years (b) 14 years (c) 16 years (d) 24 years (d) None of these

112. The average weight of 21 girls was recorded as 58 kgs. If the teacher’s weight was added, the

average increased by one. What was the teacher’s weight?


113. The sum of the average of three consecutive odd numbers and three consecutive even numbers is

21. If the highest even number is 16, what is the lowest odd number?



B and D?


115. The average of four consecutive even numbers is 27. What is the largest number?


116. Find the average of the following set of numbers.

132, 148, 164, 128, 120, 136


117. Average marks obtained in History by 45 students in ‘A’ division are 75 and the average marks

obtained by 40 students in ‘B’ division are 78. What are the overall average marks obtained in History by

the students in both the divisions (rounded off to two digits after decimal)?


118. The average height of four boys was recorded as 170 cms. If the average of the heights of three

boys out of the four was 172 cms, what was the height of the fourth boy?


119. Find the average of the following set of numbers.

76, 48, 84, 66, 70, 64



142, 93, 102, 206, 115, 98


R.A.C.E




13


198, 309, 256, 48, 145, 326, 427


Set 2

1. Find the average of 14, 19, 16, 24, 20.


2. Find the average of 12.5, 11.6, 13.2, 15.6 and 9.8.

(a) 12.54 (b) 12.52 (c) 12.15 (d) 12.51 (e) 12.17

3. Find the average of first 40 natural numbers.

(a) 20.2 (b) 20.8 (c) 20.1 (d) 20.5 (e) 20.9

4. Find the average of the first 12 multiples of 12.

(a) 82 (b) 86 (c) 79 (d) 75 (e) 78

5. The average of 55 items is 29. If 2 is added to each number of the series, the new average is

(a) 31.5 (b) 31.4 (c) 31 (d) 30.5 (e) None of these

6. The average of 24 numbers is 18. If each item of the series is multiplied by 3, the new average is

(a) 54 (b) 62 (c) 57 (d) cannot be determined (e) None of these

7. If the average of five consecutive numbers is 27, find the smallest number.


8. If the sum of 11 consecutive odd numbers is 253 find the first term

(a) 15 (b) 11 (c) 13 (d) 17 (e) 19

9. Find the average of the first six odd multiples of 5

(a) 30 (b) 32 (c) 28 (d) 26 (e) 36

10. If the average of 6 observations is 42 and another 6 observations is 45. Find the average of all the 12

observations

(a) 44 (b) 44.5 (c) 43 (d) 43.5 (e) None of these

11. Average of ‘x’ observation is 30, average of x other observations is 33 and average remaining x

observations is 42. Average of all the observations is


12. Rajesh bought 75 items for Rs. 1215 from one shop and 60 items for Rs. 1080 from another shop

what is the average price he paid per item?

(a) Rs. 21 (b) Rs. 15 (c) Rs. 19 (d) Rs. 17 (e) Rs. 23

13. If 11a + 11b = 33, what is the average of a and b?

R.A.C.E




14

(a) 3 (b) 2 (c) 1.5 (d) cannot be determined (e) None of these

14. The average of the daily incomes of A, B and C is Rs. 250. If B earns Rs. 30 more than C and A earns

double of C. What is the daily income of C?

(a) Rs. 195 (b) Rs. 190 (c) Rs. 180 (d) Rs. 185 (e) None of these

15. The average of 15 observations is 20. Average of first 5 is 16 and next 7 is 22. If 13th observation is 2

more than 14 and 14th observation is 2 more than 15th observation. Find the 15th observation


16. The average temperature of the first three day 22°C and that of the next three days is 24°C the

average for the whole weak is 23.5°C, the temperature of the last day of the week is

(a) 26.8°C (b) 26.5°C (c) 26.4°C (d) 26.2°C (e) None of the above

17. The average temperature for Monday, Tuesday and Wednesday is 30°C and for Tuesday, Wednesday

and Thursday is 32°C. What is the temperature on Thursday, if temperature on Monday is 28°C.

(a) 35°C (b) 31°C (c) 32°C (d) cannot be determined (e) None of the above

18. The average expenditure of a man for the first 12 days of a month was Rs. 850 per day and for the

next 18 days, it was Rs. 825 per day. If he could save Rs. 700 during that month. Find his income for the

month.


19. 12 men went to a restaurant 11 of them spent Rs. 50 each and the 12th person spent Rs. 110 more

than the average expenditure of all. Find the total money spent by them.


20. Visitors to a show were charged Rs. 14 on the first day, Rs. 12 on second day and Rs. 10 third day.

The attendance of three days was in the ratio 1:2:5. Find the average charge per person for the whole

show.

(a) Rs. 11 (b) Rs. 11.50 (c) Rs. 11.75 (d) Cannot be determined (e) None of these

21. There are 70 students in a hostel. If 14 students increased then th total expenditure decreased by Rs.

2. Find the total expenditure originally.

22. A company employed 600 men and 400 women. Their average wage was Rs 68 per day. If a woman

gets Rs. 30 less than a man, what is the average wage of a woman?

(a) Rs. 50 (b) Rs. 54 (c) Rs. 54 (d) Cannot be determined (e) None of these

23. The average monthly salary of the employees of a firm is Rs. 3000. Out of the employees 12 officers

get an average of Rs. 5000 per month and the rest an average of Rs. 2000 per month. Find the total

number of employees.


R.A.C.E




15

24. Average of two numbers is 14.5 and square root of their product is 10. What are the numbers?

(a) 25, 4 (b) 20, 5 (c) 10, 15 (d) Cannot be determined (e) None of these

25. The average age of three boys is 12 yr. If their ages are in the ratio 2:3:4, the age of the eldest boy is

(a) 20 yr (b) 18 yr (c) 12 yr (d) 16 yr (e) None of these

26. The average age of 5 children in a family is 10 yr. If the spacing between their ages is 3 yr, the age of

the eldest child is

(a) 27 yr (b) 14 yr (c) 20 yr (d) 15 yr (e) None of these

27. The average age of a family of 6 members is 25 yr. If the age of the youngest member be 5 yr, find

the average age of the family at the birth of the youngest member

(a) 34 yr (b) 14 yr (c) 24 yr (d) Cannot be determined (e) None of these

28. The average speed of a bus for the first 150 km is 30 km/h the next 50 km is 25 km/h and the last 30

km is 10 km/h. Find the average speed of the bus for the entire journey.

(a) 23 km/h (b) 26 km/h (c) 29 km/h (d) 21 km/h (e) None of these

29. A person travels 120 km in 6 h, the next 130 km in 5 h and the next 200 km in 4 h. Find the average

speed during the whole journey.

(a) 37 km/h (b) 30 km/h (c) 36 km/h (d) Cannot be determined (e) None of these

30. 10 kg of tea having a rate of Rs. 44 per kg is mixed with 8 kg of tea costs Rs. 62 per kg, what is the

average rate of the mixture?


31. The sales for the month of January was 500 units. Sales increased by 50 units every month for the

next 11 months. Find the average monthly sales for the year.


32. Find the total cost for producing 5000 units if total fixed cost is Rs. 24000 and variable cost/unit is Rs.

15.

(a) Rs. 96000 (b) Rs. 99000 (c) Rs. 91000 (d) Rs. 97000 (e) None of the above

Set 3

1. David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry

and Biology. What are his average marks?


2. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?


3. Find the average of all the numbers between 6 and 34 which are divisible by 5.

R.A.C.E




16


4. The average of first five multiples of 3 is:


5. The average of the first nine prime numbers is:

(a) 9 (b) 11 (c) 11 �

� (d) 11

�

� (e) None of these

6. A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9. 15, 13, 8, 19, 17, 21, 14

and x. He found the mean to be 12. What should be the number in place of x?


7. The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y?


8. If the mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the mean of the last three

observations is:


9. The average of the two-digit numbers, which remain the same when the digits interchange their

positions, is:


10. The average of first 50 natural numbers is:


11. The mean of 12, 22, 32, 42, 52, 62, 72 is:


12. The average of all odd numbers upto 100 is:

(a) 49 (b) 49.5 (c) 50 (d) 51 (e) None of these

13. If a, b, c, d, e are five consecutive odd numbers, their average is:

(a) 5 (a + 4) (b) ��

(c) 5 (a + b + c + d + e) (d) 5 (c + 3) (e) None of these

14. The average of a non-zero number and its square is 5 times the number. The number is:


15. The average of 7 consecutive numbers is 20. The largest of these numbers is:


16. The average of five consecutive odd numbers is 61. What is the difference between the highest and

lowest numbers?


17. The sum of three consecutive odd numbers is 38 more than the average of these numbers. What is

the first of these numbers?

R.A.C.E




17

(a) 13 (b) 17 (c) 19 (d) Data inadequate (e) None of these

18. The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age

for the whole class is:

(a) 15 years (b) 15.5 years (c) 16 years (d) Cannot be computed with the given information

(e) None of these

19. A family consists of grandparents, parents and three grandchildren. The average age of the

grandparents is 67 years, that of the parent is 35 years and that of the grandchildren is 6 years. What is

the average age of the family?

(a) 28 �

� years (b) 31

� years (c) 32

�

� years (d) 34

�

� years (e) None of these

20. A library has an average of 510 visitors on Sunday and 240 on other days. The average number of

visitors per day in a month of 30 days beginning with a Sunday is:


21. The average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs.

Find the average weight of all the boys in the class.

(a) 47.55 kgs (b) 48 kgs (c) 48.55 kgs (d) 49.25 kgs (e) None of these

22. A car owner buys petrol at Rs. 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What

approximately is the average cost per litre of petrol if be spends Rs. 4000 each year?

(a) Rs. 7.98 (b) Rs. 8 (c) Rs. 8.50 (d) Rs. 9 (e) None of these

23. The average of six numbers is x and the average of three of these is y. If the average of the remaining

three is z, then:

(a) x = y + z (b) 2x = y + z (c) x = 2y + 2z (d) 2x = z + y (e) None of these

24. The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the

remaining numbers is nearly:

(a) 28.32 (c) 28.78 (c) 29.27 (d) 29.68 (e) None of these

25. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded

number is:


26. The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is

the average age of remaining 14 students?


27. 16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks

obtained by the children of groups A is 75 and the average percent marks of all the 16 children is 76.

What is the average percent marks of children of group B?

R.A.C.E




18

(a) 77 �

� (b) 77

�

� (c) 78

�

� (d) 78

�


28. The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other

two is 3.85. What is the average of the remaining two numbers?


29. The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest

score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs.

The highest score of the player is:

(a) 165 runs (b) 170 runs (c) 172 runs (d) 174 runs (e) None of these

30. The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his

next innings so as to increase his average of runs by 4?


31. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months.

How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?


32. A company produces on an average 4000 items per month for the first 3 months. How many items it

must produce on an average per month over the next 9 months, to average 4375 items per month over

the whole?


33. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the

remaining 40 overs to reach the target of 282 runs?

(a) 6.25 (b) 6.5 (c) 6.75 (d) 7 (e) None of these

34. Of the four numbers, the first is twice the second, the second is one-third of the third and the third is

5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is:


35. Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first

number is:


36. The average of 8 numbers is 20. The average of first two numbers is 15 �

� and that of the next three is

21 �

�. If the sixth number be less than the seventh and eight numbers by 4 and 7 respectively, then the

eight number is:

(a) 18 (b) 22 (c) 25 (d) 27 (e) None of theses

R.A.C.E




19

37. If the arithmetic mean of seventy-five numbers is calculated, it is 35. If each number is increased by

5, then mean of new numbers is:


38. Average of ten positive numbers is x. If each number is increased by 10%, then x:

(a) Remains unchanged (b) May decrease (c) May increase (d) Is increased by 10%

(e) None of these

39. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as

23. The corrected new mean is:


40. A pupil’s marks were wrongly entered as 8 instead of 63. Due to that the average marks for the class

got increased by half. The number of pupil’s in the class is:


41. The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last

six numbers is 11.4, then the middle number is:

(a) 11 (b) 11.3 (c) 11.4 (d) 11.5 (e) None of these

42. The average weight of three boys A, B and C is 54 �

�kg, while the average weight of three boys B, D

and E is 53 kg. What is the average weight of A, B, C, D and E?

(a) 52.4 kg (b) 53.2 kg (c) 53.8 kg (d) Data inadequate (e) None of these

43. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B

and C be 43 kg, then the weight of B is:


44. The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the

average increases by one. What is the teacher’s age in years?


45. The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager’s salary is

added, then the average salary increases by Rs. 100. What is the manager’s monthly salary?

(a) Rs. 2000 (b) Rs. 2400 (c) Rs. 3600 (d) Rs. 4800 (e) None of theses

46. The average age of the mother and her six children is 12 years which is reduced by 5 years if the age

of the mother is excluded. How old is the mother?


47. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If

the ages of these two are excluded, the average age of the remaining players is one year less than the

average age of the whole team. What is the average age of the team?

R.A.C.E




20


48. The average weight of 8 persons increase by 2.5 kg when a new person comes in place of one of them

weighing 65 kg. What might be the weight of the new person?

(a) 76 kg (b) 76.5 kg (c) 85 kg (d) Data inadequate (e) None of these

49. The average weight of 45 students in a class is 52 kg. Five of them whose average weight is 48 kg

leave the class and other 5 students whose average weight is 54 kg join the class. What is the new

average weight (in kg) of the class?

(a) 52 �

� (b) 52

�

� (c) 52

�

� (d) 52

�


50. The average age of 8 men is increased by 2 years when two of them whose ages are 21 years and 23

years are replaced by two new men. The average age of the two new men is:


51. A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby

increasing his average by 6 runs. His new average is:


52. A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby

decreases his average by 0.4. The number of wickets taken by him till the last match was:


53. A motorist travels to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr.

His average speed for the whole journey in km/hr is:

(a) 35 (b) 37 (c) 37.5 (d) 40 (e) None of these

54. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the

child 5 years ago was 20 years. The present age of the husband is:


55. 3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the

average age of the family is the same today. The present age of the baby is

(a) 1 year (b) 1 �

� year (c) 2 years (d) 3 years (e) None of these

56. 10 years ago, the average age of a family of 4 members was 24 years. Two children having been born

(with age difference of 2 years), the present average age of the family is the same. The present age of the

youngest child is:

(a) 1 year (b) 2 years (c) 3 years (d) 5 years (e) None of theses

57. After replacing an old member by a new member, it was found that the average age of five members

of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and

the new member?

R.A.C.E




21


58. The average age of a group of persons going for picnic is 16 years. Twenty new persons with an

average age of 15 years join the group on the spot due to which their average age becomes 15.5 years.

The number of persons initially going for picnic is:


59. A certain factory employed 600 men and 400 women and the average wage was Rs. 25.50 per day. If

a woman got Rs. 5 less than a man, then what are their daily wages?

(a) Man: Rs. 25; woman: Rs. 20 (b) Man: Rs. 27.50, Woman: Rs. 22.50

(c) Man: Rs. 30, Woman: Rs. 25 (d) Man: Rs. 32.50, Woman: Rs. 27.50 (e) None of these

60. The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them

secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55%

is:

(a) 45 (b) 50 (c) 51.4 approximately (d) 54.6 approximately (e) None of these

61. In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11

years. If the average age of the school is 11 years 9 months, then the number of girls in the school is:


62. In an examination, a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for

his Geography paper and 2 more marks for his History paper, his average per paper would have been 65.

How many papers were there in the examination?

(a) 8 (b) 9 (c) 10 (d) 11 (e) 12

63. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4

years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the

class is:

(a) 1: 2 (b) 2: 3 (c) 3: 4 (d) 3: 5 (e) None of these

64. The average of first 10 odd numbers is


65. The average of first 10 prime numbers is

(a) 10 (b) 12.5 (c) 12.9 (d) 15.5 (e) None of these

66. The average of first 10 natural numbers is


67. The average of first 10 prime numbers which are odd is


68. The average of first 10 even numbers is

R.A.C.E




22


69. The average of 31 �

�, 32

�

�, 31

�

�, 33

�

� is

(a) 32 �

�� (b) 16

�

� (c) 23

�

�� (d) 24

�

�� (e) None of these

70. The average of 9 observations was 9, that of the first 5 being 10 and that of the last 5 being 8. What

was the 5th observation?


71. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4,

the sixth number is


72. The average’s of Meenu’s marks in 7 subjects is 68. Her average in 6 subjects excluding English is 70.

How many marks did she get in English?


73. A cricketer’s average for 15 matches is 24 runs. In the next five matches played by him, he scored 75,

40, 12, 36 and 57 runs. Find his new average for the 20 matches.


74. Of the three numbers, the first is twice the second and is half of the third. If the average of the three

numbers is 56, the three numbers in order are

(a) 96, 24, 48 (b) 48, 96, 24 (c) 48, 24, 96 (d) 96, 48, 24 (e) None of these

75. A certain company employed 600 men and 400 women and the average wage was Rs. 2.55 per hour.

If a woman got 50 paise less than a man, what were their wages per hour?

(a) Man Rs. 3.00, Woman Rs. 2.50 (b) Man Rs. 3.50, Woman Rs. 3.00

(c) Man Rs. 2.75, Woman Rs. 2.25 (d) Man Rs. 3.25, Woman Rs. 2.75 (e) None of these

76. A tree is 8.4 metres tall, another is half as high and the third one is its quarter. What is the average

height of the three trees?

(a) 5.2 metres (b) 4.6 metres (c) 4.9 metres (d) 5.6 metres (e) None of these

77. The average noon temperature for Monday, Tuesday and Wednesday was 53°F and for Tuesday,

Wednesday and Thursday was 56°F. If the noon temperature on Thursday was 60°F, find the noon

temperature on Monday.

(a) 52°F (b) 51°F (c) 53°F (d) 55°F (e) None of these

78. The average age of 30 boys in class is 15 years. If the teacher’s age is included, the average increases

by one. What is the teacher’s age?


R.A.C.E




23

79. The mean of 100 observations was calculated as 40. It was found later that one of the observations

was misread as 83 instead of 53. The correct mean is


80. The average of ten numbers is seven. If each number is multiplied by 12, then the average of new set

of numbers is


81. In a class there are three divisions. The number of students and the average marks in Mathematics in

the three divisions are 30, 40, 30 and 40%, 30% and 50% respectively. What are the average marks in

mathematics of the class?

(a) 39% (b) 40% (c) 41% (d) 51% (e) None of theses

82. Visitors to a show were charged Rs. 15.00 each on the first day, Rs. 7.50 on the second day, Rs. 2.50

on the third day and total attendance on the three days was in ratio 2: 5: 13 respectively. What are the

average marks in mathematics of the class?

(a) Rs. 3.00 (b) Rs. 4.50 (c) Rs. 5.00 (d) Rs. 7.50 (e) None of these

83. A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.

25 per day, to a female worker Rs. 20 per day and to a child worker Rs. 8 per day. The average wage per

day paid by the contractor is


84. Three years ago the average age of a family of 5 members was 17 years. A baby having been born

the average of the family is the same today. The age of the baby is


85. The average age of a husband and a wife was 23 years when they were married five years ago but

now the average age of the husband, wife and child is 20 years (the child was born during the interval).

What is the present age of the child?

(a) 1 year (b) 2 years (c) 3 years (d) 4 years (e) None of these

86. A man went uphill with a speed of 20 km.p.h. and came downhill with a speed of 30 km.p.h. The

average speed for his journey was

(a) 25 km.p.h. (b) 22 �

� km.p.h. (c) 24 km.p.h. (d) 25

�

� km.p.h (e) None of these

87. A ship sails out to a mark at the rate of 10 km per hour and sails back at the rate of 15 km per hour.

What is its average rate of sailing?

(a) 10 km.p.h. (b) 12 km.p.h. (c) 15 km.p.h. (d) 11 km.p.h. (e) None of these

R.A.C.E




24

88. A team of eight entered for a shooting competition. The best marksman scored 85 points. If he had

scored 92 points, the average score for the team would have been 84. How many points altogether did the

team score?


89. A man leads Rs. 1,200 in four sums. If he gets 5% for Rs. 300, 6% for Rs. 350 and 6.5% for Rs. 400,

what percent must he get for the remainder if his average interest is 6.5 per cent?

(a) 2% (b) 4% (c) 6% (d) 7% (e) None of these

90. In 1951 the population of a city was 293468 and in 1961 it was 299868. T5he average rate of growth

per year was


91. A car went 53 km in the first hour, 60 km in the second hour and 54 km in the third hour. In the

fourth hour, there was some trouble in the car, so it could run only 26 km. Its average speed is

(a) 51 km/hr (b) 48 km/hr (c) 57 km/hr (d) 45 km/hr (e) None of theses

92. Monica’s average expenses for 4 days is Rs. 6.0. She spent Rs. 7.70 on first day, Rs. 6.30 on second

day. If she spent Rs. 10 on third day, how much did she spend on the 4th day?

(a) Rs. 2 (b) Rs. 3 (d) Rs. 4 (d) Rs. 0 (e) None of these

93. The average temperature of Delhi in the 1st four days of a month was 37°C. The average temperature

for the second, third, fourth and fifth day was 39°C. If the temperature on the 1st and 5th day were in the

ratio of 4: 5, the temperature on the 1st and 5th day must have been

(a) 32°C, 40°C (b) 30°C, 40°C (c) 36°C, 40°C (d) 33°C, 45°C (e) None of

these

94. The average age of A and B is 20 years. If C were to replace A, the average would be 19 and if C were

to replace B, the average would be 21. The ages of A, B and C are (in years)

(a) 22, 17, 16 (b) 22, 18, 20 (c) 30, 18, 15 (d) 23, 17, 15 (e) None of these

R.A.C.E




25

Answer Key

1. (a) 2. (e) 3. (b) 4. (e) 5. (e) 6. (e) 7. (c) 8. (e) 9. (d) 10. (c) 11. (b) 12. (e) 13. (d) 14. (b) 15. (d)

16. (e) 17. (e) 18. (e) 19. (c) 20. (b) 21. (d) 22. (a) 23. (e) 24. (c) 25. (e) 26. (d) 27. (c) 28. (b) 29. (b)

30. (d) 31. (c) 32. (c) 33. (d) 34. (d) 35. (e) 36. (b) 37. (e) 38. (b) 39. (b) 40. (d) 41. (a) 42. (a) 43. (a)

44. (d) 45. (e) 46. (b) 47. (a) 48. (c) 49. (e) 50. (c) 51. (d) 52. (e) 53. (b) 54. (a) 55. (e) 56. (c) 57. (c)

58. (c) 59. (c) 60. (e) 61. (a) 62. (c) 63. (a) 64. (b) 65. (e) 66. (b) 67. (e) 68. (b) 69. (b) 70. (c) 71. (c)

72. (e) 73. (a) 74. (e) 75. (d) 76. (a) 77. (a) 78. (d) 79. (c) 80. (b) 81. (e) 82. (e) 83. (b) 84. (b) 85. (c)

86. (d) 87. (c) 88. (c) 89. (b) 90. (b) 91. (d) 92. (e) 93. (d) 94. (c) 95. (e) 96. (e) 97. (a) 98. (d) 99. (a)

100. (e) 101. (d) 102. (e) 103. (d) 104. (c) 105. (d) 106. (b) 107. (e) 108. (c) 109. (d) 110. (b) 111. (a)

112. (c) 113. (a) 114. (d) 115. (c) 116. (c) 117. (e) 118. (e) 119. (c) 120. (e) 121. (e)

Set 2

1. (a) 2. (a) 3. (d) 4. (e) 5. (c) 6. (a) 7. (d) 8. (c) 9. (a) 10. (d) 11. (b) 12. (d) 13. (c) 14. (c) 15. (a)

16. (b) 17. (e) 18. (d) 19. (b) 20. (a) 21. (b) 22. (a) 23. (c) 24. (a) 25. (d) 26. (e) 27. (c) 28. (a) 29. (b)

30. (e) 31. (c) 32. (b)

Set 3

1. (e) 2. (d) 3. (b) 4. (b) 5. (c) 6. (b) 7. (c) 8. (b) 9. (c) 10. (d) 11. (b) 12. (c) 13. (d) 14. (a) 15. (c)

16. (c) 17. (b) 18. (d) 19. (b) 20. (d) 21. (c) 22. (a) 23. (b) 24. (d) 25. (d) 26. (d) 27. (b) 28. (b) 29. (d)

30. (d) 31. (a) 32. (a) 33. (a) 34. (d) 35. (c) 36. (c) 37. (b) 38. (d) 39. (c) 40. (c) 41. (d) 42. (d) 43. (d)

44. (c) 45. (c) 46. (b) 47. (d) 48. (c) 49. (c) 50. (d) 51. (a) 52. (d) 53. (c) 54. (b) 55. (c) 56. (c) 57. (d)

58. (c) 59. (b) 60. (c) 61. (a) 62. (d) 63. (b) 64. (b) 65. (c) 66. (b) 67. (d) 68. (d) 69. (a) 70. (a) 71. (d)

72. (c) 73. (a) 74. (c) 75. (c) 76. (c) 77. (b) 78. (d) 79. (a) 80. (b) 81. (a) 82. (c) 83. (b) 84. (a) 85. (d)

86. (c) 87. (b) 88. (b) 89. (d) 90. (c) 91. (b) 92. (d) 93. (a) 94. (b)

average rip v day 4 · r.a.c.e rapid academy of competitive exams [unit of seeman education]...

Documents