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

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is :__________?

A. 20
B. 30
C. 48
D. 58

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?

A. 8 : 9
B. 17 : 18
C. 21 : 22
D. Cannot be determined

A surn of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share ?

A. Rs. 500
B. Rs. 1500
C. Rs. 2000
D. None of these

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?

A. 2 : 5
B. 3 : 5
C. 4 : 5
D. 6 : 7

Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?

A. 27
B. 33
C. 49
D. 55

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

A. 50
B. 100
C. 150
D. 200

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A. 2 : 3 : 4
B. 6 : 7 : 8
C. 6 : 8 : 9
D. None of these

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?

A. 2 : 5
B. 3 : 7
C. 5 : 3
D. 7 : 3

Find the fourth proportion to 3, 7 and 9.

A. 63
B. 31
C. 21
D. 27

A:B=2:3, B:C=3:4, A:D=4:5. Find C:D.

A. 2:5
B. 4:5
C. 6:5
D. 8:5

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The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is :__________?

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?

A surn of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B’s share ?

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?

Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?

Find the fourth proportion to 3, 7 and 9.

A:B=2:3, B:C=3:4, A:D=4:5. Find C:D.

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