mathematics MCQs – Page 35

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 Review each marked answer and report any item that may be outdated or unclear.

1701. 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. 123

B. 137

C. 122

D. 121

1702. 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. 26 kg

C. 20 kg

D. 17 kg

1703. 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. 19 years

B. 18 years

C. 15 years

D. 17 years

1704. A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?
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A. Rs. 19000

B. Rs. 21000

C. Rs. 17500

D. Rs. 24500

1705. 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. 3:05

C. 3:04

D. 2:3
1706. 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. 404

B. 364

C. 384

D. 324

1707. 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. 10

B. 9

C. 8

D. 11
1708. The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number.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. 27 years

B. 7 years

C. 18 years

D. 11 years

1709. Find the average of the first 20 natural numbers?
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A. 10.5

B. 11.5

C. 10

D. 12

1710. The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
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A. 22

B. 24

C. 21

D. 23
1711. Find the average of the series : 312, 162, 132, 142 and 122?
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A. 194

B. 186

C. 162

D. 174
1712. 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. 47.55 kg

B. 49.25 kg

C. 48.55 kg

D. 48 kg

1713. 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. 29

B. 28

C. 31

D. 30

1714. Today is khadijas birthday. After one year, she will become two times as she was ten years ago. current age of Khadija?
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A. 22

B. 20

C. 19

D. 21
1715. Find the Missing Number in the series 1, 6, 13, 22, 33 ?
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A. 46

B. 52

C. 36

D. 40

1716. The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?
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A. 40 degrees

B. 38 degrees

C. 34 degrees

D. 36 degrees

1717. 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. 68

B. 46

C. 32

D. 51

1718. The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
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A. 190

B. 175

C. 180

D. 170

1719. Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
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A. 3:02

B. 2:01

C. 5 : 1

D. 4:01

1720. The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.600 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
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A. 960

B. 840

C. 1020

D. 1540

1721. 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. 25

B. Rs. 18

C. Rs. 22

D. Rs. 15
1722. 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. 58

B. 86

C. None of these

D. 49

1723. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is__________?
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A. None of these

B. 54.68

C. 55

D. 53.33

1724. The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
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A. 98

B. 170

C. 125

D. 134

1725. 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. 55 kg

B. 62 kg

C. 56 kg

D. None
1726. Sarfaraz obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
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A. 69

B. None of these

C. 65

D. 72

1727. A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
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A. 80

B. 64

C. 60

D. 72

1728. The average of non-zero number and its square is 5 times the number. The number is__________?
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A. 9

B. 17

C. 295

D. 29

1729. 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. 35

B. 20

C. 25

D. 15

1730. A person travels from x to y at a speed of 40Km/h and returns by increasing his speed 50%. What is his average speed for both the trips?
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A. 50km/h

B. 36km/h

C. 45km/h

D. 48km/h
1731. 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. 4800

B. Rs. 2400

C. Rs. 2000

D. Rs. 3600
1732. The average of first five multiples of 3 is____________?
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A. 15

B. 9

C. 12

D. 3

1733. The average of the two-digit numbers, which remain the same when the digits interchange their positions, is__________?
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A. 33

B. 44

C. 66

D. 55
1734. 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. Data inadequate

B. 56 years

C. 58 years

D. 55 years

1735. The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally?
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A. 6

B. 7

C. 5

D. 4
1736. 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___________?
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A. 50

B. 54.6 approx.

C. 45

D. 51.4 approx.
1737. 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. 3500

C. Rs. 4000

D. Rs. 5000

1738. The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathematics and Chemistry together.
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A. 30

B. 40

C. Data inadequate

D. 25

1739. A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
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A. 31 5/7 years

B. None of these

C. 28 4/7 years

D. 32 1/7 years

1740. The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
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A. 75

B. 50

C. None of these

D. 150

1741. The average of 10 numbers is 23. If each number is increased by 4, what will the new average?
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A. 25

B. 22

C. 27

D. 29

1742. What is the Arithmetic Mean of the following data3,6,9,12,15.
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A. 7

B. 12

C. 8

D. 9
1743. If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is___________?
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A. 90

B. 30

C. 70

D. 40
1744. The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
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A. 79

B. 72

C. 45

D. 37

1745. 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?
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A. 2

B. 76

C. 4

D. 70

1746. A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is_____________?
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A. 60 runs

B. 52 runs

C. 55 runs

D. 48 runs
1747. 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. 17 kg

B. 20 kg

C. 31 kg

D. 26 kg

1748. Express 1.09 in term of Percentage.
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A. 10.90%

B. 1.09%

C. 109%

D. None of these

1749. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
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A. 6.25

B. 6.75

C. 6.5

D. 7

1750. 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___________?
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A. 39.1

B. 36.1

C. 36.5

D. 35.2