100+ Ratio and Proportion Questions with Solutions Pdf - 1

Question: 1

If A : B = 7 : 9 and B : C = 5 : 4, then A : B : C is

(A) 7 : 45 : 36

(B) 21 : 32 : 30

(C) 28 : 36 : 35

(D) 35 : 45 : 36

Ans: D

A : B = 7 : 9 and B : C = 5 : 4 = $$(5 × {9}/{5})$$ : $$(4 × {9}/{5})$$ = $$9 : {36}/{5}$$.

⇒ A : B : C = 7 : 9 : $${36}/{5}$$ = 35 : 45 : 36.

Question: 2

Of 132 examinees of a certain school, the ratio of successful to unsuccessful candidates is 9 : 2. If 4 more students passed, what would have been the ratio of successful to unsuccessful students?

(A) 3 : 28

(B) 4 : 25

(C) 25 : 4

(D) 28 : 5

Ans: D

Number of successful candidates = $$({9}/{11} × 132)$$ = 108.

Number of unsuccessful candidates = $$({2}/{11} × 132)$$ = 24.

∴ Required ratio = (108 + 4) : (24 - 4) = 112 : 20 = 28 : 5.

Question: 3

The sum of three numbers is 116. The second number and the third number are in the ratio of 9 : 16 while the first number and the third number are in the ratio of 1 : 4. Find the second number.

(A) 8

(B) 16

(C) 36

(D) 56

Ans: C

Second : Third = 9 : 16,

Third : First = 4 : 1 = 16 : 4.

∴ Second : Third : First = 9 : 16 : 4.

Second number = $$(116 × 9/29)$$ = 36.

Question: 4

A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, then the ratio of gold and copper in alloy C will be

(A) 5 : 7

(B) 5 : 9

(C) 7 : 3

(D) 7 : 5

Ans: D

Gold in C = $$({7}/{9} + {7}/{18})$$ units = $${7}/{6}$$ units.

Copper in C = $$({2}/{9} + {11}/{18})$$ units = $${5}/{6}$$ units.

∴ Gold : Copper = $${7}/{6} : {5}/{6}$$ = 7 : 5.

Question: 5

Raj and Suraj bought a bottle of water together in which there was 2 litres of water. Raj drank 1/4th part of it. The rest water was drunk bu Suraj. Find the amount of water used by Suraj.

(A) 0.5 litres

(B) 1. 5 litres

(C) 2 litres

(D) 2.5 lites

Ans: B

Quantity of water in bottle = 2 litres

Part of water drank by Raj = $${1}/{4}$$ part

Part of water drank by Suraj = $${3}/{4}$$ part

Water taken by Suraj = $${3}/{4}$$ × 2 = 1.5 litres.

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