Aptitude - Ratios Online Quiz

Answer : A

Explanation

X = 1/3(Y+Z) => Y+Z = 3X
=>X+Y+Z = 11256
=> 4X = 11256
=> X = 2814
 Again, Y = 1/5(X+Z) => X+Z = 5Y
=> 6Y = 11256
=>Y = 1876
Then X's share is more than that of Y by Rs. (2814-1876) =938

Q 2 - Three numbers in the ratio 2:3:5 add up to give a sum of 120.Find the value of biggest number.

Answer : D

Explanation

Let the numbers are 2x:3x:5x
2x+3x+5x=120
=> x=12
5x=5*12=60

Q 3 - If 0.6*A= 0.09*B, then A:B= ?

Answer : D

Explanation

0.6*A = 0.09 *B A/B =0.09/0.6 = 0.09/0.60 = 9/60 =3/20 
∴A:B = 3:20

Q 4 - If 1/3 A = 1/4 B = 1/5 C, then A:B:C=?

Answer : A

Explanation

Let (1/3)A = (1/4) B = (1/5)C = k , 
then A = 3k ,B = 4k and C = 5k 
∴  A:B:C = 3:4:5

Q 5 - The proportion between two no. is 3:4 . on the off chance that every no. is expanded by 6, the proportion gets to be 4:5 . The no's distinction. is ?

Answer : C

Explanation

Let the numbers be 3x and 4x.  At that point,
3x+6/4x+6 = 4/5 => 5 (3x+6) =4 (4x+6) => x=(30-24) =6 
Contrast between the numbers = (4x-3x) = x = 6.

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 - Two entire numbers whose entirety is 64, cannot be in the proportion

Answer : C

Explanation

For dividing 64 in to two whole numbers, the sum of the terms of the ratio must be a factor of 64.
So, they cannot be in the ratio 3:4

Q 8 - If a surpasses B by 40 % and B is not as much as C by 20 %, then A:C =?

Answer : D

Explanation

B= 80% of C= 80/100*C= 4c/5 and 
A= 140% of B=(140b/100) =7B/5
 A= 7b/5= 7/5*4C/5 =28C/25
=>A/C =28/25
 ∴ A: C = 28:25

Q 9 - Income of A ,B and C are in the proportion 7:9:12 and their consumption are in the proportion 8:9:15 . On the off chance that A sparing is 1/4 of his wage, then the proportion of sparing of A,B and C is:

Answer : A

Explanation

Let the incomes of A, B and C be 7x, 9x and 12 x and their expenditures be Rs 8y,Rs 9y and Rs 15y respectively. Then their savings are Rs(7x -8y), Rs(9x-9y) and Rs (12x-15y).
∴7x-8y=1/4*7x
=>28x-32y=7x
=>21x=32y.
Ratio of saving=(7x-8y):(9x-9y):(12x-15y)
 =  (7*32/21y-8y):(9*32/21y-9y):(12*32/21y-15y)
 = (32y-24y/3):(96y-63y/7):(128y-105y/7)
 = 8y/3:33y/7:23y/7=56:99:69.

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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