mathematics MCQs – Page 53

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

2601. The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
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A. 32

B. 46

C. 68

D. 51

2602. The average monthly salary of 20 employees in an organisation is Rs. 1500. If the managers salary is added, then the average salary increases by Rs. 100. What is the managers monthly salary?
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A. Rs. 2400

B. Rs. 3600

C. Rs. 2000

D. Rs. 4800

2603. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
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A. 48 kg

B. 49.25 kg

C. 48.55 kg

D. 47.55 kg

2604. The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers were________?
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A. 6

B. 16

C. 12

D. 8

2605. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
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A. 0

B. 10

C. 1

D. 19
2606. The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
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A. Rs. 15

B. Rs. 22

C. Rs. 18

D. Rs. 25

2607. Aftab bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
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A. Rs.18

B. Rs.22

C. Rs.20

D. Rs.16

2608. The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
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A. 15

B. 25

C. 35

D. 20

2609. The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
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A. 8

B. 24

C. 22

D. 12
2610. Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
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A. 58 years

B. 55 years

C. Data inadequate

D. 56 years

2611. The average of first five prime numbers greater than 20 is____________?
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A. 32

B. 31.01

C. 31

D. 32.2
2612. The average 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?
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A. 15 years

B. 17 years

C. 19 years

D. 18 years

2613. The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
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A. 26 years

B. 33 years

C. 31 years

D. 30 Years

2614. A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings?
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A. 34

B. 35

C. 36

D. 37
2615. The average of 10 numbers is 23. If each number is increased by 4, what will the new average?
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A. 29

B. 25

C. 27

D. 22

2616. The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
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A. 30

B. 31

C. 29

D. 28

2617. The average of non-zero number and its square is 5 times the number. The number is__________?
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A. 17

B. 9

C. 29

D. 295

2618. 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 of the team?
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A. None of these

B. 25 years

C. 24 years

D. 23 years
2619. 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 a child worker Rs.8 per day. The average wage per day paid by the contractor is__________?
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A. Rs.20

B. Rs.22

C. Rs.23

D. Rs.21
2620. The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
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A. 4500

B. 3000

C. 5000

D. 2500

2621. The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
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A. 46

B. 56

C. 34

D. 57

2622. In an examination a pupils 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?
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A. 9

B. 10

C. 8

D. 11
2623. The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
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A. 7 years

B. 18 years

C. 27 years

D. 11 years

2624. The average of first 10 even numbers is___________?
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A. 11

B. 22

C. 9

D. 18

2625. The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
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A. 2

B. 5

C. 6

D. 8

2626. 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 ration of the number of boys to the number of girls in the class is___________?
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A. 1:02

B. 2:3

C. 3:05

D. 3:04

2627. The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest).
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A. 18 years

B. 14 years

C. 16 years

D. 20 years
2628. The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places)?
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A. 179.29 cm

B. 178.39 cm

C. 179.38 cm

D. 178.29 cm
2629. 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___________?
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A. 31 kg

B. 20 kg

C. 17 kg

D. 26 kg

2630. A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
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A. Rs.150

B. Rs.250

C. None

D. Rs.225

2631. The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
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A. 56 kg

B. 62 kg

C. None

D. 55 kg

2632. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is____________?
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A. Rs. 4050

B. Rs. 5000

C. Rs. 4000

D. Rs. 3500

2633. Find the average of the series : 312, 162, 132, 142 and 122?
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A. 174

B. 162

C. 194

D. 186

2634. 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_____________?
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A. 11.5

B. 11.3

C. 11.4

D. 11

2635. The average age of M boys is b years and of n girls c years. The average age of all together is_________?
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A. (mb nc)/ (m + n) years

B. (mb nc)/ (m n) years

C. (mb + nc)/ (m + n) years

D. (mb + nc)/ (m n) years

2636. The mean marks of 30 students in a class is 58.5. Later on it was found that 75 was wrongly recorded as 57. Find the correct them.
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A. 57.5

B. 59.1

C. 57.4

D. 58.9

2637. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
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A. 18

B. 21

C. 9

D. 15

2638. In an exam, Amir scored 64 percent, Masood scored 36 percent and asif 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
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A. 384

B. 364

C. 324

D. 404

2639. A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
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A. 7070

B. 6060

C. 4440

D. 5550
2640. A pupils marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is___________?
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A. 73

B. 20

C. 10

D. 40
2641. The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
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A. None of these

B. 49

C. 86

D. 58

2642. A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
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A. 665

B. 632

C. 625

D. 656

2643. The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________?
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A. 137

B. 121

C. 123

D. 122
2644. Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?
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A. 106

B. 112

C. 108

D. 53

2645. Find the highest common factor of 36 and 84.
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A. 6

B. 12

C. 18

D. 4

2646. The least number which when add 3 to it, completely divided 8, 12 and 18 is_______?
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A. 71

B. 69

C. 68

D. 70

2647. Find the least square number which is divisible by 10, 12, 15 and 18?
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A. 900

B. 1600

C. 3600

D. 2500

2648. Least perfect square number, exactly divisible by 21, 36 and 56 is_________?
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A. 7056

B. 504

C. 3600

D. 441

2649. The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is___________?
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A. 345

B. 276

C. 299

D. 322
2650. The least number which when divided by 8, 12 and 16, leave in each remainder 3, is_______?
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A. 51

B. 71

C. 70

D. 69