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Aptitude - Ratios Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Ratios. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - In a mixture of 60 litres, the ratio of milk and water is 5:1. How much water must be added to this mixture so that the ratio of milk and water becomes 2:3?

Answer : C

Explanation

Let water is x
5x:x = milk:water
50 :10 = 5x:x (since 60litres )
Now  50/(10+x)=2/3 => x=65 litres

Q 2 - Two numbers are respectively 80% and 60% more than a third number. What is the ratio between two numbers?

Answer : C

Explanation

Let the third number be x
=> The first and second number becomes 1.8x and 1.6x
Their ratio will be 1.8x/1.6x=1.8/1.6=9/8 = 9:8

Q 3 - If A:B:C =2:3:4, then A/B: B/C: C/A =?

Answer : C

Explanation

A:B:C = 2:3:4 , let A = 2k, B = 3k and C =4k then,
A/B = 2k/3k = 2/3 , 
B/C = 3k/4k =3/4 
and C/A=4k/2k =2/1 
∴ A/B: B/C:C/A= 2/3:3/4:2/1 = 8:9:24

Q 4 - If 7:x ::17.5 :22.5 , then x=?

Answer : D

Explanation

X * 17.5 =7*22.5 
=>  X= 7*22.5/17.5 
= 7*225/175 =9.

Q 5 - Rs. 6400 are separated among three laborers in the proportion 3/5 :2 : 5/3 . The offer of second specialist is ?

Answer : B

Explanation

Given ratio=3/5:2/1:5/3=9:30:25.
Share of the second workers = Rs(6400*30/64)=Rs 3000.

Q 6 - The proportion of winning of An and B is 8:9 , if the gaining of An is expanded by half and procuring of B is diminished by 25%, the new proportion of their acquiring is 16:9 , what are An acquiring?

A - 22000

B - 28500

C - 37000

D - cannot be resolved

Answer : D

Explanation

New earnings of A and B=Rs (150% of 8x), Rs (75%of 9x)
 =Rs (150/100*8x), Rs (75/100*9x) = Rs 12x,Rs 27x/4
 Ratio of new earnings = 12x: 27x/4 = 48:27 = 16:9.
Thus, we cannot find A's earnings.

Q 7 - What ought to be added to each of the four numbers 6, 14, 18, 38 to make them corresponding?

Answer : B

Explanation

Let the number to be added be x. Then,
6+X/14+x=  18+x/38+x
=>  (6+x) (38+x)= (14+ x) (18 +x)
=>  228 +44x+x<sup>2</sup> = 252+32x+x<sup>2</sup>
= 12x=24 
=>  x=2 .
∴ the required number is 2.

Q 8 - If a surpasses B by 40 % and B is not as much as C by 20 %, then A:C =?

Answer : D

Explanation

B= 80% of C= 80/100*C= 4c/5 and 
A= 140% of B=(140b/100) =7B/5
 A= 7b/5= 7/5*4C/5 =28C/25
=>A/C =28/25
 ∴ A: C = 28:25

Q 9 - The proportion of salary of An and B is 5:3 and that of their use is 9:5. On the off chance that they spare Rs. 2600 and Rs. 1800, then their livelihoods are:

Answer : D

Explanation

Let the income of A and B be Rs 5x and Rs 3x respectively and let their expenditure be Rs. 9y and 5y respectively. Then,
5x- 9y =2600    ...(i)   and 3x-5y =1800  ...(ii)
On multiplying (ii) by 9 and (i) by 5 and subtracting, we get
 2x = 3200 
=> x = 1600.
 ∴ A income = (5*1600)= 8000, B income = (3*1600)= 4800

Q 10 - Rs 1300 are separated among A,B,C and D in a manner that: A share / B share = B share / C share =C share/ D share = 2/3, What is A share?

Answer : C

Explanation

A:B=2:3,B:C=2:3=3/2*2:3/2*3:9/2.
C:D=2:3=2*9/4:3*9/4=9/2:27/4.
∴ A:B:C:D=2:3:9/2:27/4=8:12:18:27.
A share =Rs(1300*8/65)=Rs160.

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