Ratio & Proportion Mcqs - Set 3

1)   The third proportional to 3.5, 5.6 is:___________?

a. 8.96
b. 8
c. 4.5
d. 6.2
Answer  Explanation 

ANSWER: 8.96

Explanation:
3.5/5/6 = 5.6/x ; x = 5.6 * 5.6 / 3.5 = 8.96

2)   According to a recipe, 400 grams of flour should be mixed with 500 grams of sugar to bake cookies. If I have only 300 grams of flour, how much sugar should I mix to maintain the same proportion?

a. 360
b. 380
c. 375
d. 400
Answer  Explanation 

ANSWER: 375

Explanation:
Flour and sugar have to mixed in the ratio 4:5 4:5::300:x 4x=1500 x=375 375 grams of sugar should be mixed.

3)   X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.

a. 32:35
b. 67:56
c. 5:14
d. 5:7
Answer  Explanation 

ANSWER: 5:14

Explanation:
X:Z=(X:Y)*(Y:Z) =(5:8)*(4:7) = (5/8)*(4/7) = 5/14

4)   Two kinds of rice, 1st costs Rs.13 per kg and 2nd costs Rs.19 per kg are mixed together. Find the ratio in which the 2 types are mixed so that the mixture costs Rs.14.2 per kg?

a. 3:1
b. 4:1
c. 3:4
d. 4:3
Answer  Explanation 

ANSWER: 4:1

Explanation:
Let the total quantity of mixture be 1. If quantity of 1st type is x then quantity of the 2nd type will be (1-x)
Therefore, 13x + 19(1-x) = 14.2
13x -19x + 19 = 14.2
4.8 = 6x
x = 0.8 ; (1-x) = 0.2
Therefore, the ratio is 0.8 : 0.2 = 4:1

5)   A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount.

a. Rs.100
b. Rs.700
c. Rs.1600
d. Rs.2000
Answer  Explanation 

ANSWER: Rs.1600

Explanation:
Let the amount be divided into 7x,4x,3x and 2x.
7x-2x = 500 5x=500 x = 100

Total amount = 7x+4x+3x+2x = 16x = Rs.1600

6)   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
Answer  Explanation 

ANSWER: 2:3

Explanation:
x = z+(20/100)z = 1.2z y = 1.8z x:y = 1.2z:1.8z = 12:18 = 2:3

7)   Solve for x
2x:25 = 6:(x/3)

a. 18
b. 15
c. 12
d. 5
Answer  Explanation 

ANSWER: 15

Explanation:
2x/25 = 6/(x/3) 2x/25 = 18/x 2x*x = 18*25 x² = 9*25 x=3*5 x=15

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

a. 1:2
b. 3:5
c. 1:3
d. 3:4
Answer  Explanation 

ANSWER: 3:4

Explanation:
72 should be divisible by addition of the above ratio.
Using trial and error method
For (a): – 1+2 = 3, 72 is divisible by 3
For (b): – 3+5 = 8, 72 is divisible by 8
For (a): – 1+3 = 4, 72 is divisible by 4
For (a): – 3+4 = 7, 72 is not divisible by 7
Therefore, the answer is option (d)

9)   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
Answer  Explanation 

ANSWER: 2:3

Explanation:
x+y = 750 y-x = 150 Solving,
y = 450
x = 300 x:y = 300:450 = 2:3

10)   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
Answer  Explanation 

ANSWER: 3:2

Explanation:
p = q+(50/100)q = 1.5q p:q = 1.5q:q = 1.5:1 = 3:2

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