Aptitude - Questions & Answers

Aptitude - Ratios Online Quiz

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 - X's money is to Y's money as 5:7 and Y's money is to Z's money as 3:4 .If X has Rs.900, Z has

Answer : D

Explanation

X:Y = 5:7 = 15:21, Y:Z = 3:4 = 21:28
X:Y:Z = 15:21:28
X:Z = 15:28
800:Z = 15:28
 =>Z = Rs.1680.

Q 2 - Rayudu has coins of the denomination of Re.1, Rs.2 and Rs.5 in the ratio 6:2:1.The total worth of the coins is Rs.50.Find the number of Re.1 coins that he has

Answer : C

Explanation

Coins are 6x:2x:x
It is given that 6x+2*2x+5*x=60
=> x=4
6x=6*4=24
Re.1 coins are 24.

Q 3 - If 15% of A =20% of B , then A:B =?

Answer : B

Explanation

15/100 a = 20/100 b
=> 15 A = 20 B
=>A/B = 20/15 = 4/3
Thus A:B =4 :3

Q 4 - If 5x²-13xy+6y² =0, then x:y = ?

Answer : B

Explanation

5x²- 13xy +6y² = 0
=> 5x²-10xy-3xy+6y²=0
=> 5x(x-2y) - 3y(x-2y)=0 
=> (x-2y) (5x-3y)=0
=>  x-2y=0 or 5x-3y =0 or 5x=3y
=>  (x:y)= (2:1) or (x:y)= (3:5)

Q 5 - On the off chance that a:b = b:c , then (a⁴ :b⁴ ) =?

Answer : C

Explanation

Given : a/b = b/c
=> b²=ac.
∴  a⁴  / b⁴  =   a⁴ / (b²)²
=  a⁴ / (ac)² = a⁴ / a²c² =a²/c²
> (a⁴  :b⁴  )= (a²:c²)

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 - 94 is isolated into two sections in a manner that fifth piece of the first Furthermore, eighth piece of the second are in the proportion 3:4.the first part is:

Answer : B

Explanation

(1/5)a :(1/8)b= 3:4
=> (1/5)a/(1/8)b=3/4
=> 8a/5b=3/4 
=> a/b={3/4 *5/8}= 15/32
=> First part ={94*15/47) =30.

Q 8 - Rs. 680 is separated among A, B, C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. At that point their shares are separately:-

Answer : B

Explanation

Suppose C gets Rs. x. then B gets Rs. x/4 and gets Rs. (2/3*x/4)= x/6.
∴x/6+x/4+x=680
=>2x+3x+12x=8160
=> 17x= 8160
=> x=480
∴ A gets rs. 80, B gets rs. 120 and C gets rs. 480

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 - A and B are two compounds of gold and copper arranged by blending metals in the extent 7:2 and 7:11 separately. In the event that the equivalent amounts of the combination are dissolved to frame a third amalgam C, the extent of gold and copper In C will be:

Answer : C

Explanation

Gold in C=(7/9+7/18)=21/18=7/6.
Copper in C=(2/9+11/18)=15/18=5/6.
∴Gold:Copper=7/6:5/6=7:5.

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