mathematics mcqs to prepare for nts, kppsc, fpsc, ppsc and more | mcqpk.com

mathematics Mcqs

1601. 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. 19 years

C. 18 years

D. 17 years

1602. 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. 180

C. 170

D. 175

1603. 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. 7

B. 6

C. 5

D. 4

1604. Who is Called the Father of Calculus?
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A. Al-Khwarizmi

B. Herodotus

C. Aristotle

D. Isaac Newton

1605. 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. 18

B. Rs. 25

C. Rs. 15

D. Rs. 22

1606. 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. 25

B. 35

C. 20

D. 15

1607. Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
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A. Rs.32

B. Rs.30.25

C. Rs.29.25

D. Rs.35

1608. Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60km/h and the other is moving at 40km/h mph. In how many hours will they meet?
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A. 1.25

B. 1.5

C. 1.75

D. 2.5

E. 2

1609. The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .
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A. 149

B. 151

C. 153

D. 152

1610. The average of first 10 even numbers is___________?
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A. 22

B. 18

C. 11

D. 9

1611. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
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A. 1

B. 19

C. 0

D. 10

1612. 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. 72

B. 45

C. 79

D. 37

1613. Find the average of all the numbers between 6 and 34 which are divisible by 5.
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A. 30

B. 24

C. 18

D. 20

1614. 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. 840

B. 1020

C. 1540

D. 960

1615. 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. 57

B. 46

C. 34

D. 56

1616. 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. 364

B. 384

C. 404

D. 324

1617. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
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A. 50

B. 47.5

C. 52.5

D. 59

1618. 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. 15

B. 9

C. 21

D. 18

1619. 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. 21

B. 23

C. 24

D. 22

1620. 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

1621. 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. 24500

B. Rs. 19000

C. Rs. 21000

D. Rs. 17500

1622. 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. 28

B. 30

C. 31

D. 29

1623. Masood purchased a plot for Rs. 8,000. He sells the plot to Aftab at a profit of 20%. Aftab in turn sells that plot to Zahid at a loss of 20%. The plot costs Zahid ?
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A. sp;

1624. 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.22

B. Rs.18

C. Rs.20

D. Rs.16

1625. The average of first 10 odd numbers is_____________?
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A. 12

B. 10

C. 11

D. 17

1626. 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. 38 degrees

B. 34 degrees

C. 40 degrees

D. 36 degrees

1627. The average marks in mathematics scored by the students of a school at the public examination were 39. If four of these students who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of students sent up for examination from the school?
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A. 32

B. 30

C. 25

D. 20

1628. Visitors to show were charged Rs.15 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 were in ratio 2:5:13 respectively. The average charge per person for the whole show is___________?
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A. Rs.4.50

B. Rs.5.00

C. Rs.3

D. Rs.7.50

1629. 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. 31 years

B. 30 Years

C. 26 years

D. 33 years

1630. A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
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A. 18

B. 17

C. 19

D. 29

1631. 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. 5

B. 6

C. 8

D. 2

1632. The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
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A. 170

B. 134

C. 98

D. 125

1633. The average of first five multiples of 3 is____________?
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A. 3

B. 9

C. 12

D. 15

1634. Find the average of the first 20 natural numbers?
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A. 11.5

B. 12

C. 10.5

D. 10

1635. 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. 56 years

B. Data inadequate

C. 55 years

D. 58 years

1636. 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. 6060

B. 4440

C. 5550

D. 7070

1637. 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. 24

B. 22

C. 8

D. 12

1638. 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.250

B. None

C. Rs.225

D. Rs.150

1639. If a car is sold for Rs..50000 the profit is 17 percent, what would be profit percentage if sold for Rs. 47000?
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A. 14.85%

B. 9.98%

C. 16.20%

D. 14.50%

1640. Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
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A. 2 years

B. 2.5 years

C. 1 year

D. 1.5 years

1641. The average of five results is 46 and that of the first four is 45. The fifth result is__________?
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A. 12.5

B. 50

C. 10

D. 1

1642. 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. 66

C. 44

D. 55

1643. In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
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A. Rs.5000

B. Rs.5400

C. Rs.4600

D. Rs.2300

1644. 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. 179.38 cm

B. 179.29 cm

C. 178.39 cm

D. 178.29 cm

1645. A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
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A. 40, 80

B. 70, 50

C. 50, 70

D. 60, 60

1646. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is__________?
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A. 30

B. 35

C. 27

D. 25

1647. The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
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A. 400

B. 550

C. 275

D. 250

1648. 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. 50

B. 150

C. 75

D. None of these

1649. 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. 72

B. 60

C. 64

D. 80

1650. 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

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