Explore topic-wise MCQs in Maths.

This section includes 146 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

1.

A mathematics teacher calculated the total marks obtained by 35 students of 8th class . The average marks of the students were 72. But 36 marks for Reena was calculated in place of 86 obtained by her. What was the correct average of all the students?

A. 73.41
B. 74.31
C. 72.43
D. 73.42
Answer» E.
2.

A batsman scores 98 run in the 17th match of his career. His average runs per match increased by 2.5. What is his average before the 17th match?

A. 58
B. 60.5
C. 63
D. 55.5
Answer» E.
3.

The average of nine numbers is 50. The average of first five numbers is 54 and that of the last three numbers is 52, then the sixth number is -

A. 25
B. 26
C. 24
D. 28
Answer» D. 28
4.

A cricketer's average score in 10 innings was 36. In his 11th innings, he scored some runs because of which his average increased to 40. What was his score in 11th innings?

A. 40
B. 50
C. 70
D. 80
Answer» E.
5.

The average of the marks obtained in an examination by 8 students was 51 and by 9 other students was 68. The average marks of all 17 students was:

A. 59
B. 59.5
C. 60
D. 60.5
Answer» D. 60.5
6.

The average of 3 numbers is 7 and average of first two numbers is 4. what is the third number?

A. 15
B. 13
C. 7
D. 4
Answer» C. 7
7.

Average of 21 number is 36. If the average of first 12 numbers is 15, then find the average of remaining 9 number?

A. 64
B. 78
C. 24
D. 36
Answer» B. 78
8.

The average age of 6 members of a family is 25 years. If the youngest member of the family is 15 years, old then what was the average age (in years) of the family at the time of the birth of the youngest members?

A. 9
B. 12
C. 18
D. 24
Answer» C. 18
9.

The average of 5 consecutive integers starting with M is K . What is the average of 6 consecutive integers stating with (m+1)?

A. $$ {2K-3} over 2$$
B. $$ {2K+3} over 2$$
C. $$ {2K-5} over 2$$
D. $$ {2K+5} over 2$$
Answer» C. $$ {2K-5} over 2$$
10.

If 30 females from each park are above 80 years age then find the average of no. of females who are below or equal to the age of 80 years from all the parks.

A. 295
B. 285
C. 300
D. 280
E. 290
Answer» D. 280
11.

The average weight of P, Q and R is 93 kg. If the average weight of P and Q is 89 kg and that of Q and R average weight is 96.5 kg , then the weight (in kg) of Q is____.

A. 86
B. 92
C. 101
D. 95
Answer» C. 101
12.

Among three numbers, the first is twice the second and thrice the third. If the average of the three numbers is 49.5, then the difference between the first and the third number is:

A. 39.5
B. 41.5
C. 54
D. 28
Answer» D. 28
13.

The average price of three furniture items is Rs 15,000. If the ratio of their prices is 3: 5: 7, then the cheapest furniture price is-

A. Rs. 9000
B. Rs.15,000
C. Rs. 18,000
D. Rs. 21,000
Answer» B. Rs.15,000
14.

The average weight of a group of 20 boys was calculated to be 89.4 kg and it was later discovered that one weight was misread as 78 kg instead of 87 kg. The correct average weight is

A. 89.55 kg
B. 89.85 kg
C. 88.95 kg
D. 89.25 kg
Answer» C. 88.95 kg
15.

Eight consecutive numbers are given. If the average of the two numbers that appear in the middle is 6, then the sum of the eight given numbers is:

A. 36
B. 48
C. 54
D. 64
Answer» C. 54
16.

The average of four consecutive even numbers is 15. The 2nd highest number is:

A. 14
B. 16
C. 12
D. 18
Answer» C. 12
17.

The average of seven numbers is 18. If one of the number is 17 and if it is replaced by 31, then the average becomes:

A. 20
B. 21
C. 21.5
D. 19.5
Answer» B. 21
18.

In an exam, the average marks obtained by the students was found to be 60. After omission of computational errors, the average marks of 100 candidates had to be changed from 60 to 30 and the average with respect to all the examinees came down to 45 marks. The total number of candidates who took the exam, was.

A. 240
B. 180
C. 200
D. 210
Answer» D. 210
19.

In the afternoon, a student read 100 pages at the rate of 60 pages per hour. In the evening, when she was tired, she read 100 more pages at the rate of 40 pages per hour. What was her average rate of reading the pages per hour?

A. 48
B. 50
C. 60
D. 70
Answer» B. 50
20.

While purchasing one item costing Rs.400, one has to pay sales tax at 7 % and on another costing Rs. 6400, the sales tax was 9%. The percentage of sales tax one has to pay, taking these items together on an average is:

A. $$8{1 over 2}$$
B. $$8{11 over 17}$$
C. $$8{13 over 17}$$
D. $$8{15 over 17}$$
Answer» E.
21.

A man bought 13 articles at Rs. 70 each, 15 at Rs. 60 each and 12 at Rs. 65 each. The average price per article is

A. Rs. 65.75
B. Rs. 62.25
C. Rs. 60.25
D. Rs. 64.75
Answer» E.
22.

A fruit seller sold big, medium and small-sized apples for Rs.15, Rs. 10, and Rs. 5, respectively. The total number of apples sold were in the ratio 3: 2: 5. Find the average cost of an apple.

A. 9
B. 7
C. 8
D. 10
Answer» B. 7
23.

There are 100 students in 3 sections A, B and C of a class. The average marks of all the 3 sections was 84. The average of B and C was 87.5 and the average marks of A is 70. The number of students in A was.

A. 20
B. 25
C. 30
D. 35
Answer» B. 25
24.

Three numbers are such that the average of first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4, then the average of three numbers is equal to.

A. 3
B. 2.5
C. 2
D. 3.5
Answer» B. 2.5
25.

The average salary, per head, of all the workers of an institution, is Rs. 60. The average salary of 12 officers is Rs. 400; the average salary, per head, of the rest is Rs. 56. The total number of workers in the in situation is

A. 1032
B. 1020
C. 1030
D. 1035
Answer» B. 1020
26.

A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is:

A. 70
B. 68
C. 130
D. 128
Answer» E.
27.

30 pens and 75 pencils altogether were purchased for Rs .510. If the average price of a pencil was Rs. 2, what was the average price of a pen?

A. Rs. 11
B. Rs. 12
C. Rs. 9
D. Rs. 10
Answer» C. Rs. 9
28.

The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average one number, namely 36, was wrongly read as 26. The correct average is:

A. 16
B. 14
C. 20
D. 18
Answer» B. 14
29.

The average of 8 readings is 24.3, out of which the average of first two is 18.5 and that of next three is 21.2. If the sixth reading is 3 less than seventh and 8 less than eight, what is the sixth reading?

A. 24.8
B. 26.5
C. 27.6
D. 29.4
Answer» D. 29.4
30.

The average weight of A B and C is 40 kg . if the average weight of A and B be 48 kg and that of B and C be 45 kg , then find the weight of B ?

A. 58
B. 60
C. 36
D. 40
Answer» C. 36
31.

The average of three numbers is 40. The first number is twice the second and the second one is thrice the third number. The difference between the largest and the smallest numbers is

A. 36
B. 60
C. 30
D. 46
Answer» C. 30
32.

The average marks of a student in an examination is 63, if he had scored 20 marks in geography and 2 more marks in history, his average marks would have been 65. How many subjects were there in the exam?

A. 10
B. 11
C. 12
D. 9
Answer» C. 12
33.

The average weight of 10 parcels is 1.7 kg. The average weight is reduced by 60 grams when a new parcel is added. How much is the weight of the new parcel?

A. 1.04
B. 1.08
C. 1.4
D. 1.8
Answer» B. 1.08
34.

Find the average of the following set of numbers 148, 88, 184, 166, 96, 122

A. 146
B. 142
C. 136
D. 132
E. None of these
Answer» F.
35.

The average age of the 20 aspirants of a class is 19.2 years. After Some time two more aspirants join them and then average is increased by 0.3 years. Find the difference between the age of new aspirants.

A. 12
B. 15
C. 8
D. Can't be determined
E. None of these
Answer» E. None of these
36.

The average age of students in 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: 4
B. 4 : 2
C. 2 : 3
D. 3 : 4
Answer» D. 3 : 4
37.

The average monthly income of x and y is 5050. The average monthly income of y and z is 6250 and the average monthly income of x and z is 5200. The monthly income of x is?

A. 4050
B. 3500
C. 4000
D. 5000
Answer» D. 5000
38.

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 (in kg) of B is

A. 31
B. 17
C. 20
D. 26
Answer» B. 17
39.

The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crews, whose weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).

A. 66
B. 43
C. 67
D. 65
Answer» B. 43
40.

A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match.

A. 36
B. 37
C. 38
D. 39
Answer» E.
41.

A car travel to a place 150 km away at an average speed of 50 km/hr and returns it 30 km/hr. What is the average speed of the whole journey?

A. 35.5 km/hr
B. 37.5 km/hr
C. 40.5 km/hr
D. 33.5 km/hr
Answer» C. 40.5 km/hr
42.

The average weight of 5 persons sitting in a boat is 38 kg. The average weight of the boat and the persons sitting in the boat is 52 kg. What is the weight of the boat?

A. 85 kg.
B. 98 kg.
C. 105 kg.
D. 122 kg.
Answer» E.
43.

Find the average of the following set of numbers.
132, 148, 164, 128, 120, 136

A. 138
B. 144
C. 142
D. 136
Answer» B. 144
44.

The average of eleven numbers is 68. The average of the first numbers is 78 and that of the next four number is 63. The 9th number is two time the 11th number and the 10th number is 4 less than the 11th number. What is the average of the 9th and 11th numbers?

A. 70.1
B. 70.5
C. 72.6
D. 72.2
Answer» C. 72.6
45.

The average of 8 readings is 24.3, out of which the average of the first two is 18.5 and that of next three is 21.2. If the sixth reading is 3 less than seventh and 8 less than eight, what is the sixth reading?

A. 27.6
B. 29.4
C. 24.8
D. 26.5
Answer» B. 29.4
46.

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

A. 25
B. 27
C. 30
D. 35
Answer» E.
47.

The average salary of all the staff in an office of a corporate house is Rs 5,000. The average salary of the officers is Rs 14,000 and that of the rest is Rs 4,000. If the total number of staff is 500, the number of officers is

A. 10
B. 15
C. 25
D. 50
Answer» E.
48.

The average weight of A B and C is 50 kg . if the average weight of A and B be 48 kg and that of B and C be 45 kg , then find the weight of B ?

A. 30
B. 35
C. 36
D. 40
Answer» D. 40
49.

The average marks of a student in four subjects is 75. If the student obtained 80 marks in the 5th subject then the new average is ?

A. 80
B. 76
C. 92
D. 95
Answer» C. 92
50.

16 children are to be divided into two group A and B consisting of 10 and 6 children. The average percent marks obtained by the children of Group 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?

A. $$ {78}{2 over3}$$
B. $$ {77}{1 over3}$$
C. $$ {78}{1 over3}$$
D. $$ {77}{2 over3}$$
Answer» E.