Explore topic-wise MCQs in Maths.

This section includes 170 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 and B together have 158. C has 101 less than what A and B together have, and B has 23 more than C. The amount of A is:
A. 80
B. 78
C. 57
D. 88
Answer» C. 57
Discussion
2.

A sum of 340. 68 is distributed among L, M and N such that L gets 5.72 more than N and M gets 2.24 more than L, N gets
A. 109
B. 110.90
C. 113.56
D. 114.72
Answer» B. 110.90
Discussion
3.

If X: Y = 4: 3 and Y: Z = 5: 3. If X+Y+Z = 1584. Find X?
A. 640
B. 800
C. 460
D. 720
Answer» E.
Discussion
4.

Rs. 180 is stored in a box in the form of 1 Rupee coins, 50 paisa coins and 25 paisa coins. Their ratio is 2:3:4. Find the no. of 50 paisa coins.

A. 60
B. 120
C. 150
D. 180
Answer» C. 150
Discussion
5.

If a : b = 20:5 then find out the value of (13a-9b): (11a-7b)?
A. $$ {43 over 37}$$
B. $$ {43 over 42}$$
C. $$ {44 over 37}$$
D. $$ {40 over 33}$$
Answer» B. $$ {43 over 42}$$
Discussion
6.

If the compound ratio of [(3a + 2b) : 3] and [1 : (3a + b)] is 1 : 2, find the ratio a : b.
A. 1 : 4
B. 1 : 6
C. 1 : 2
D. 1 : 3
Answer» E.
Discussion
7.

The monthly salaries of A and B are in the ratio 5 : 6. If both of them get a salary increment of Rs. 2000, the new ratio becomes 11 : 13. What is the new monthly salary of A?
A. Rs. 20000
B. Rs. 24000
C. Rs. 26000
D. Rs. 22000
Answer» E.
Discussion
8.

If A's capital is equal to three times of B's capital and if B's capital is equal to four times of C's capital, then the ratio of their capitals is
A. 14:8:9
B. 12:4:1
C. 18:17:15
D. 12:3:4
Answer» C. 18:17:15
Discussion
9.

In bag there are coins of 25 paisa, 50 paisa and 1 rupee in the ratio of 3 : 4 : 5. If there are in all Rs.31, then how many 1 rupee coins are there in the bag?
A. 12
B. 16
C. 24
D. 20
Answer» E.
Discussion
10.

A person lent Rs. 8000 partly at the rate of 5% and partly at the rate of 6% per annum simple interest. The total interest after 2 years is Rs. 820 then in which ratio will Rs. 8000 is to be divided?
A. 15 : 4
B. 7 : 1
C. 13 : 5
D. 12 : 5
Answer» C. 13 : 5
Discussion
11.

Seven year ago, the ages (in years) of A and B were in the ratio 4 : 5 and 7 years hence, their ages will be in the ratio 5 : 6. What will be the ratio of their ages 5 years from now?
A. 33: 34
B. 34 : 41
C. 31 : 33
D. 32: 33
Answer» C. 31 : 33
Discussion
12.

Find the value of k in $$ {26 over 21}:{24 over 9 }::k :{14 over 13}$$
A. $$ {1 over 3}$$
B. 2
C. $$ {1 over 2}$$
D. 3
Answer» D. 3
Discussion
13.

The ratio of the ages of Ram and Shyam is 7:17 and that of Shyam and Sohan is 7:17. If Ram's income is Rs 490, then what is Sohan's income?
A. 490
B. 2890
C. 2790
D. 1190
Answer» C. 2790
Discussion
14.

7500 is divided among A, B and C in such a way that the ratio of the parts of A and B is 5:2 and that of B and C is 7:13. How much amount will B get?
A. Rs. 1400
B. Rs. 3500
C. Rs.2600
D. Rs.7000
Answer» B. Rs. 3500
Discussion
15.

Two friends P and Q started a business by investing in the ratio of 6 : 7. R joined them after six months by investing an amount equal to that of Q s. At the end of the year, profit earned was Rs. 66,000. What was the share of R ?
A. None of these
B. Rs. 18000
C. Rs. 14500
D. Rs. 14000
E. Rs. 16000
Answer» E. Rs. 16000
Discussion
16.

The sum of squares of three numbers is 532. And the ratio of first to the second as also of the second to the third is 3:2. What is the second number?
A. 10
B. 12
C. 11
D. 14
Answer» C. 11
Discussion
17.

The ratio of the length of the parallel sides of a trapezium is 3: 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm.2, the semi-sum of the length of the parallel sides is
A. 20 cm
B. 30 cm
C. 60 cm
D. 120 cm
Answer» C. 60 cm
Discussion
18.

If a cuboid of dimensions 64cm 16cm 8cm is melted and recast into two equal cubes of same size. Then what will be the ratio of the surface are of cuboid to the total surface area of the two cubes?
A. 17:19
B. 16:19
C. 16:17
D. 17:16
Answer» E.
Discussion
19.

The average price of 3 precious diamond-studded platinum thrones Rs. 106000000. If their prices are in the ratio 4 : 7 : 9. Find the price of the most expensive diamond?
A. 143100000
B. 178500000
C. 125100000
D. 192100000
Answer» B. 178500000
Discussion
20.

The ratio of investment by A to that by B in a business is 14 : 15 and the ratio of their respective profit at the end of a year is 2 : 5. If A invested the money for 3 months, then for how much time ( in months) B invested his money?
A. 5
B. 9
C. 6
D. 7
Answer» E.
Discussion
21.

If (a+b) : (b+c) : (c+a) = 7 :6 : 5 and (a+b+c)=27, then what will be the value of $$ {1 over b}:{1 over a}:{1 over c}$$.
A. 3 :6 :4
B. 3 : 4 : 6
C. 4 :3 : 2
D. 9: 3: 4
Answer» C. 4 :3 : 2
Discussion
22.

The ratio of the number of boys and girls in a college is 6 : 7. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
A. 72 : 77
B. 35 : 36
C. 36 : 35
D. 77 : 72
Answer» B. 35 : 36
Discussion
23.

If $$ {y over x-z}={y+x over z}={x over y}$$ the find x:y:z is?
A. 1: 2 : 3
B. 3 : 2: 1
C. 4 : 2 : 3
D. 2 : 4 : 7
Answer» D. 2 : 4 : 7
Discussion
24.

A number is divided into 3 parts A, B and C in the ratio of 3:2:1. If half of the number is 54, then find the square of the smallest number?
A. 441
B. 361
C. 324
D. 125
Answer» D. 125
Discussion
25.

If $$ {A over2}={B over 3}={C over 4}$$ then what is the value of $$ {A+B+C} over C
A. $$ {9 over2}$$
B. 3
C. $$ {4 over9}$$
D. $$ {9 over4}$$
Answer» E.
Discussion
26.

Vivek and Raja had some books whose ratio was 7: 9 and similarly the ratio of books of Abhishek and Raja was 7: 15, then tell us what was the ratio of books of Vivek and Abhishek?
A. 7:5
B. 5:3
C. 7:3
D. 15:19
Answer» C. 7:3
Discussion
27.

Find the forth proportional to $${ x^{2}b^{2}c^{3}}$$, $${ x^{3}bc^{4}}$$ and $${ x^{4}b^{2}c^{2}}$$.
A. $${ x^{5}bc^{3}}$$
B. $${ x^{4}bc^{2}}$$
C. $${ x^{5}b^{3}c^{3}}$$
D. $${ x^{5}b^{2}c^{5}}$$
Answer» B. $${ x^{4}bc^{2}}$$
Discussion
28.

The sum of two numbers is 45 and their ratio is 7: 8. The two numbers are:
A. 20, 25
B. 21, 24
C. 22, 23
D. None of the above
Answer» C. 22, 23
Discussion
29.

If a=2b/3, b=2c/3, and c=2d/3, then find the ratio of b and d:
A. 8/9
B. 4/9
C. 4/3
D. 5/27
Answer» C. 4/3
Discussion
30.

If u : v= 4 : 7 , v : w = 9 : 7 and u=72 then find the value of w.
A. 49
B. 77
C. 63
D. 98
Answer» E.
Discussion
31.

If Rs 1380 is divided into A, B and C in such a way that A gets 5 times B's share and 3 times C's share. Then what is the value of C parts?
A. Rs. 300
B. Rs.600
C. Rs.900
D. Rs.180
Answer» B. Rs.600
Discussion
32.

Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5:4. After he Lost 5 red marbles the ratio become 10:9. How many marbles does he have now?
A. 86
B. 92
C. 101
D. 76
Answer» E.
Discussion
33.

If Rs. 25,000 is to be divided between A, B and C in the ration 1/10 : 1/6: 1/15, then how much will C get (in Rs)?
A. 5,000
B. 7,500
C. 10,000
D. 12,500
Answer» B. 7,500
Discussion
34.

According to the will the wealth of Rs. 21,25,000 was to be divided between the son and the daughter in the ratio $$ {7 over6}:{5 over3}$$. How much did the son get (in Rs.)?
A. 12,50,000
B. 8,75,000
C. 10,00,000
D. 11,25,000
Answer» C. 10,00,000
Discussion
35.

The ratio between heights of two-cylinder is in the ratio of 3:5. Their volumes are in the ratio 27:80. Find the ratio between their radius.
A. 3 : 4
B. 4 : 3
C. 9 : 16
D. 16 : 9
Answer» B. 4 : 3
Discussion
36.

Costs of two articles were in the ratio of 16: 23. The cost of first articles increases by 10% and that of second by Rs.477. Now the costs of two articles are in a ratio of 11: 20. The price of the second article (in Rs.) in the beginning was-
A. 1219
B. 2142
C. 1556
D. 1225
Answer» B. 2142
Discussion
37.

The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students does not get the scholarship?

A. 56
B. 70
C. 78
D. 80
Answer» D. 80
Discussion
38.

The prices of a scooter and a T.V. are in the ratio 7:5. If the scooter costs Rs.8000 more than a T.V. set, then the price of a T.V. set is:

A. Rs 20,000
B. Rs 24,000
C. Rs 28,000
D. Rs 32,000
Answer» B. Rs 24,000
Discussion
39.

Divided 1250 among A, B, C so that A gets $$ {2 over9}$$ of B s share and C gets $${3 over4}$$ of A s share,
A. 200, 800, 250
B. 200, 900, 150
C. 150, 800, 300
D. 200, 900, 75
Answer» C. 150, 800, 300
Discussion
40.

The ratio of milk to water is 4 : 3 in a mixture of 490 litres. To make this ratio 4 : 5 the quantity of water to be further added should be
A. 120 litres
B. 125 litres
C. 130 litres
D. 140 litres
E. 135 litres
Answer» E. 135 litres
Discussion
41.

The ratio of income of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save 1300 and 900 respectively. Their incomes are:
A. 5000 : 3000
B. 4500 : 2700
C. 4000 : 2400
D. 3000 : 1800
Answer» D. 3000 : 1800
Discussion
42.

The ratio of ages of Jai and Joy is 5:2. The sum of their ages is 63. After 9 years what will be the ratio of their ages?
A. 5:2
B. 2:1
C. 3:2
D. 4:3
Answer» C. 3:2
Discussion
43.

Ratio between two numbers is 3: 4. Product of their H.C.F and L.C.M is 2028. Find sum of the numbers.

A. 68
B. 72
C. 86
D. 91
Answer» E.
Discussion
44.

The ratio of two number is 3 :5 . If 6 added to both the number then ratio become 2 :3 then find out the number?
A. 21 and 35
B. 30 and 50
C. 24 and 40
D. 18 and 30
Answer» E.
Discussion
45.

The average of the test scores of a class of 'x' students is 80 and that of 'y' student is 94. When the scores of both the classes are combined, the average becomes 86. What is the ratio of x to y?
A. 6 : 5
B. 5 : 4
C. 4 : 3
D. 7 : 6
E. 3 : 2
Answer» D. 7 : 6
Discussion
46.

A sum of Rs. 110 is in the form of Rs. 2, Rs. 1 and 50 paise coins in the ratio of 1 : 2 : 3, respectively. How many 50 paise coins are there?
A. 20
B. 60
C. 40
D. 80
Answer» C. 40
Discussion
47.

The diameter of two cones is the same. If the ratio of their slant height is 5 : 4, then find the ratio of their areas.

A. 2:3
B. 3:2
C. 4:5
D. 5:4
Answer» E.
Discussion
48.

The total income of Ramesh, Suresh and Dinesh is Rs. 17325. Ramesh spend 70%, Suresh spend 75% and Dinesh spend 80% of their income. The ratio of their saving is 6 : 8 : 5. What is the income of Dinesh?
A. Rs. 4500
B. Rs. 5625
C. Rs. 7200
D. Rs. 4800
E. None of these
Answer» C. Rs. 7200
Discussion
49.

A box contains 280 coins of one rupee, 50-paise and 25-paise. The value of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50-paise coins is

A. 70
B. 80
C. 60
D. 90
Answer» D. 90
Discussion
50.

The ratio of the ages of two persons is 4 : 7 and the age of one of them is greater than that of the other by 30 years. The sum of their ages ( in years ) is

A. 110
B. 100
C. 70
D. 40
Answer» B. 100
Discussion