Aptitude - Ratios Online Quiz



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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.

Questions and Answers

Q 1 - If three numbers are in the ratio 3:7:11 and double the sum is 84, then the ratio of squares of the numbers is

A - 9:25:49

B - 9:49:121

C - 16:25:36

D - 16:25:49

Answer : B

Explanation

Let the numbers are 3x:7x:11x
It is given that 2(3x+7x+11x) = 84
 => x=2
Ratio 6:14:22 or 3:7:11
 Their squares 9:49:121

Q 2 - The difference between two positive numbers is 20 and their ratio is 3:2.Find the product of the two numbers?

A - 400

B - 800

C - 900

D - 1600

Answer : B

Explanation

Let the numbers be X and Y
Difference between the numbers is 20 =>X-Y=20 ------- (1)
Ratio of the numbers is 3:2
 =>X/Y=3/2     -------- (2)
From eqn 1 & 2 3/2 Y-Y=20=>Y=20 & X=40
X*Y=800

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

A - 8:9:16

B - 8:9:12

C - 8:9:24

D - 4:9:16

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 1/5 : 1/x:: 1/x :1/1.25 , then x = ?

A - 1.5

B - 2

C - 2.5

D - 3.5

Answer : C

Explanation

1/x *1/x =1/5 *1/1.25
=> 1/x2=1/6.25
=> x2 =6.25 
=> x =&sqrt;6.25 = 2.5

Q 5 - On the off chance that a:b =c:d =e: f =1:2 , then (3a+5c+7e) : (3b +5d +7f ) = ?

A - 1:2

B - 1:4

C - 2:1

D - 8:7

Answer : A

Explanation

a/b=c/d=e/f=1/2?a= b/2,c=d/2 and e=f/2.
  ∴ (3a+5c+7e)/(3b+5d+7f) =
(3b/2+5d/2+7f/2)/(3b+5d+7f) 
= 1/2(3b+5d+7f)/3b+5d+7f) = 1/2.
=>  (3a+5c+7e):(3b+5d+7f)= 1:2.

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?

A - 1

B - 2

C - 3

D - 4

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 - The proportion of first and worthless train passages between two stations is 3:1 and that of the no. of traveler going between two these by first and inferior 1:50 . in the event that on a specific day rs.1325 be gathered from the travelers going between these stations, then the sum gathered from useless travelers is:

A - 1250

B - 1000

C - 850

D - 750

Answer : A

Explanation

Ratio of the amounts collected form 1stand 2nd  class fares
    =(3*1:1*50)=3:50.
Amount collected from 2nd   class passengers=Rs (1325*50/53) = Rs 1250.

Q 9 - Some cash is isolated among A, B and C in a manner that 5 times An offer ,3 times of B's offer and 2 times C offer are all equivalent . The proportion between the offer of A, B, c is:

A - 5:3:2

B - 2:2:5

C - 15:10:6

D - 6:10:15

Answer : D

Explanation

Let 5A= 3B= 2C=k. Then,
A = k/5, B = k/3 and C = k/2
∴ A:B:C =k/5 :k/3:k/2 =6:10:15.

Q 10 - Vessels An and B contain blends of milk and water in the proportion 4:5 and 5:1 separately .in what proportion ought to amounts of blends be taken From A to B to shape a blend in which drain to water is in the proportion 5:4?

A - 2:5

B - 2:3

C - 4:3

D - 5:2

Answer : D

Explanation

Let the required ratio be X:1
Milk in x ltr. of 1st mix=  (x*4/9)= 4x/9 ltr.
Water in x ltr. of 1st mix= (x-4x/9)= 5x/9 ltr.
Milk in 1 ltr. of 2nd. Mix= 5/6 ltr.
Water in 1 ltr. of 2nd. Mix= {1-5/6}=1/6 ltr.
Milk: water =(4x/9+5/6): (5x/9+1/6) =(8x+15)/18: (10x+3)/18
∴ (8x+15)/(10x+3) =5/4 
=> 4(8x+15)= 5(10x+3)
= 18x=45  
=>x=5/2
Required ratio : 5/2:1 =5:2

aptitude_ratios.htm

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