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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 - A certain amount was divided between Sangeetha and Sunita in the 5:4. If Sunita's share was Rs.3600,the amount is :

Answer : B

Explanation

Let their shares be Rs. 5x and 4x.
Thus, 4x=3600 =>x=900
Total amount =9x=Rs.8100.

Q 2 - If 18: x=x: 18, then x is equal to:

Answer : A

Explanation

18: x=x: 18
=>18/x=x/18=>x=18

Q 3 - If A:B =1/2:3/8 , B:C =1/3:5/9 and C:D =5/6:3/4 then , A:B:C:D=?

Answer : C

Explanation

A:B = 1/2 : 3/8 =4 :3 ,
B:C = 1/3 :5/9 = 3:5 
and C:D = 5/6 : 3/4 = 10 :9 
A:B = 4:3 , B:C = 3 :5
, C:D = 10/2 :9/2 = 5 :9/2 
A:B:C:D = 4:3:5:9/2 = 8 :6: 10 :9

Q 4 - 1/x :1/y :1/z =2:3:5, then x:y:z=?

Answer : B

Explanation

Let 1/x = 2k , 1/y = 3k and 1/z = 5k
At that point x = 1/2k, y =1/3k, z = 1/5k 
∴   x:y:z = 1/2k : 1/3k: 1/5k
∴  x:y:z = 15:10:6

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 - Instead of partitioning rs. 117 among P, Q, R in the proportion 1/2: 1/3:1/4, by misstep it was isolated in the proportion 2:3:4 . who picked up in the exchange?

Answer : D

Explanation

P = Rs(117*6/13)= Rs 54,
Q = Rs(117*4/13)= Rs 36 
And R = Rs(117*3/13)=Rs 27.
 Again, the ratio is 2:3:4.  
 P =Rs(117*2/9)= Rs 26,
Q= Rs (117*3/9)=Rs 39 
And R=RS(117*4/9)=Rs 52.
 Thus, both Q and R gained in the transaction.

Q 7 - At the point when 20% of a no. is added to another no., the no. increment by half. What is the proportion between the first and the second no?

A - 3:2

B - 2:3

C - 5:2

D - cannot be resolved

Answer : C

Explanation

Let the numbers be x and y. Then,
Y+ 20x/100 = (150/100)y
=> x/5 ={ (3/2)y-y}= y/2
=> 2x-5y
=> x/y=5/2 
=> x:y =5:2

Q 8 - if the wage of A is 10% more than that of B and the wage of B is 20 % not as much as that of C, than the pay of A,B, C are in the proportion.

Answer : B

Explanation

Let C income be Rs 100. Then, B income=Rs 80.
A income=(110% of Rs 80)=Rs(110/100*80)=Rs 88.
∴A:B:C=88:80:100=22:20:25.

Q 9 - The wage of A and B are in the proportion 3:2 and their uses are in the proportion 5:3. On the off chance that every spares Rs1000, then A pay is :

Answer : C

Explanation

Let the incomes of A and B be Rs 3x and Rs 2x respectively and let their expenditures be Rs 5y and Rs 3y respectively. Then,
3x -5x =1000 ...(i)
 and 2x-3y=1000   ...(ii)
On solving (i) and (ii),we get x=2000.
∴ A income =Rs (3*2000)=Rs 6000.

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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