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 - The ratio between Hyder's and Siddiq's age at present is 3:5.Hyder is 8 years younger then Siddiq. The ratio of Hyder's age to Siddiq's age after 8 years will be:

Answer : C

Explanation

Let their ages be 3x and 5x years.
5x-3x=8 or x=4.
Hyder's age = 3x =12 and Siddiq's age = 5x =20.
After 8 years Hyder's age = 12+8 = 20
After 8 years Siddiq's age = 20+8 =28
Ratio of their ages 20:28 = 5:7

Q 2 - Rs. 960 was divided among three sons Qavi, Shafi and Rafi. If each of them had received Rs 45 less, their shares would have been in the ratio of 3:5:7. What was the amount received by Qavi?

Answer : D

Explanation

Total =Rs.960
If each of them receives Rs.45 less then 960-(45*3) =825
Ratio being 3:5:7
=>3x+5x+7x=825
=>x=55
Qavi's amount = (3x) +45=(3*55)+45=Rs.210

Q 3 - If A:B = 2:3 , B:C = 4:5 and C:D = 6:7 , Then A:D =?

Answer : C

Explanation

A/D = (A/B* B/C * C/D ) = (2/3 * 4/5 * 6/7 ) = 16/35 
Thus A:D =16:35

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

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 - The month to month pay of An and B are in the proportion 2:3 and their month to month costs are in the proportion 6:9. On the off chance that each of them recovery 600 rs for every month, then their month to month wage?

Answer : C

Explanation

Let the incomes of A and B be Rs 2x and Rs 3x respectively and their Expenditures are Rs 5y and Rs 9y respectively. Then,
  2x-5y=600 ...  (i) and  3x-9y=600
=> x- 3y=200 ...  (ii) 
On solving (i) and   (ii) ,  we  get  x =800.
So, their incomes are Rs.1600 and Rs.2400 respectively.

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 - When 1 is added to each of the given two numbers, their proportion gets to be 3:4 and when 5 is subtracted from each , the proportion gets to be 7:10. The numbers are:

Answer : C

Explanation

Let two number be x and y. Then,
    X+1/y+1=3/4
=> 4x +4 = 3y+ 3
=> 3y- 4x = 1
    x-5/y-5=7/10
=>10x ? 50 = 7 ? 35 
=>7y-10x = -15
    Multiplying (i) by 5, (ii) by 2 and subtracting, we get 
    Y=35.
    Putting y = 35 in (i), we get 4x =104
=> x=26.

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:

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 - 20 liters of a blend contains drain and water in the proportion 5:3. In the event that 4 Liters of this blend is supplanted by 4 liters of milk, then the proportion of Drain and water in the new blend is:

Answer : D

Explanation

In 16 liters of mixture milk=(16*5/8) liters =10 liters,Water =6 liters.
New mixture contains 14 liters of milk and 6 liters of water .
∴Milk:water=14:6=7:3.

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