Ratio and Proportion - Free MCQs for FPSC, NTS, PPSC, PMS, CSS & All Pakistan Exams 2026

Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.

A. 38
B. 35
C. 10
D. 28

The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

A. 4
B. 6
C. 3
D. 2

4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.

A. Rs.18000
B. Rs.13000
C. Rs.15000
D. Rs.10000

The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.

A. 44
B. 55
C. 66
D. 77

If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?

A. 9:19
B. 19:9
C. 15:28
D. 28:15

The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number.

A. 8
B. 6
C. 12
D. 18

p is 50% more than q. Find the ratio of p to q.

A. 3:2
B. 1:2
C. 1:5
D. 2:1

A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y.

A. 2:3
B. 3:2
C. 3:4
D. 4:3

Two natural numbers whose sum is 72 cannot be in the ratio:

A. 1:2
B. 3:5
C. 1:3
D. 3:4

x is 20% more than z and y is 80% more than z. Find x:y.

A. 1:4
B. 3:4
C. 1:3
D. 2:3

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Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.

The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest number.

4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.

The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.

If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?

The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number.

p is 50% more than q. Find the ratio of p to q.

A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y.

Two natural numbers whose sum is 72 cannot be in the ratio:

x is 20% more than z and y is 80% more than z. Find x:y.

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