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 - Divide Rs. 1500 among U,V,W,X so that u and V together get thrice as much as W and X together, V gets four times of what W gets and W gets 1.5 times as much as X. V gets Rs

A - 800

B - 900

C - 700

D - 450

Answer : B

Explanation

U+V+W+X=1500 ------ (1)
Here   U+V=3(W+X)
From (1)
And 4(W+X) =1500 => W+X=375
U+V=1125
Given that V=4W & W=1.5X
=> 2.5X = 375 => X=150
=> V=4*1.5*X=900

Q 2 - The speed of three trains is in the ratio 3:5:7. The ratio between the time taken by these trains to travel the same distance is

A - 35:21:15

B - 7:5:3

C - 35:15:13

D - 15:21:35

Answer : A

Explanation

Speeds are in the ratio 3:5:7
Ratio of time taken will be  1/3:1/5:1/7
=> 35/105:21/105:15/105 =35:21:15

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 7:x ::17.5 :22.5 , then x=?

A - 5.5

B - 7.5

C - 6

D - 9

Answer : D

Explanation

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

Q 5 - If 20 % of (p +q )=50 % of (p-q ), then p:q =?

A - 5:7

B - 7:5

C - 7:3

D - 7:8

Answer : C

Explanation

20/100* (P+Q) = 50/100* (P-Q)
=> 20 * (P+Q)=50 *(P-Q)
=> 20P +20Q = 50P-50Q
=> 30P=70Q 
=> P/Q=70/30=7/3
=> P:Q = 7:3.

Q 6 - Two no. are in the extent 3/2 :8/3, when each of these are extended by 15 , their extent gets the chance to be 5/3 :5/2 . The greater of the no. is :

A - 27

B - 36

C - 48

D - 64

Answer : C

Explanation

Ratio of the given numbers = 3/2:8/3 = 9 :16
Let the numbers be 9x and 16 x, Then,
 (9x+15)/ (16 x+15) = (5/3)/ (5/2) =2/3
=>  3(9x+15)= 2 (16x+15)
=>  5x= 15  =x= 3.
 ∴ Larger no.= (16*3)= 48

Q 7 - A portion bears the same proportion to 1/27 as 3/7 does to 5/9, the part is :

A - 7/45

B - 1/35

C - 45/7

D - 5/21

Answer : B

Explanation

Let the fraction be X. Then,
 X:1/27 = 3/7 :5/9
=> x *5/9= 1/27 *3/7
  = 1/63  
=> 
x=(1/63*9/5) = 1/35
 Required fraction =1/35

Q 8 - Three no. are in the proportion 3:4:5. The total of the biggest and the littlest measures up to the third's entirety and 52. The littlest no. is?

A - 20

B - 27

C - 39

D - 52

Answer : C

Explanation

Let the numbers be 3x, 4x and 5x.
(5x+3x) = 4x+52  
=>  4x =52 
=>  x=13
  Smallest no. = (3*13) = 39

Q 9 - The pay of A,B and C together add up to rs. 333. If they burn through 80% , 85%, 75% of their livelihoods , their sparing are as 7:6:9 . The pay of B is:

A - 105

B - 108

C - 115

D - 120

Answer : D

Explanation

Let their savings   be Rs 7x, Rs 6x and Rs 9x respectively.
  A+B+C=333 ?(i)
20/100 A=7x 
=>A=35x,15/100B=6x
=>B=40x,25/100C=9x
=>C=36x.
          ∴ 35x+40x+36x=333 
=> 111x =333  
=> x=3
           ∴B salary = (40*3)= 120.

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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