Ratio and Proportion Quiz Set 014 | Maths Aptitude Quiz Questions and Mock Test on Ratio and Proportion Set 14 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

If X is 40% more than Z, and Y is 30% more than Z, what is the ratio of X to Y?

$1{1/13}$.

$2{1/4}$.

$2{2/3}$.

$3{8/15}$.

Soln.
Ans: a

Clearly, X = $(100 + 40)/100$ × Z, and Y = $(100 + 30)/100$ × Z, which gives X : Y as $(100 + 40)/(100 + 30)$ = $140/130$ = ${14/13}$, which is same as: $1{1/13}$

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Question 2

If $22/39$ of A's amount is $11/13$ of B's amount, and the total amount they have is Rs. 2000, what is the amount with A?

Rs. 1200.

Rs. 1202.

Rs. 1198.

Rs. 1204.

Soln.
Ans: a

Let the amounts with them be A and B. So $22/39$A = $11/13$B, which can be re-arranged to get A : B = 3 : 2. So A = $3/5 × 2000$ = Rs. 1200.

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Question 3

If $8/9$ of A's amount is $3/4$ of B's amount, and the total amount they have is Rs. 4000, what is the amount with A?

Rs. 2400.

Rs. 2402.

Rs. 2398.

Rs. 2404.

Soln.
Ans: a

Let the amounts with them be A and B. So $8/9$A = $3/4$B, which can be re-arranged to get A : B = 3 : 2. So A = $3/5 × 4000$ = Rs. 2400.

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Question 4

What is the ratio A : B : C if A = $9/10$B and B = $16/19$C?

72 : 80 : 95.

9 : 16 : 19.

10 : 16 : 19.

9 : 19 : 144.

Soln.
Ans: a

We can write B = $10/9$A. Now we can use B as the pivot and write $10/9$A = B = $16/19$C. Divide all three with 10 × 16 to get $A/{9 × 16}$ = $B/{10 × 16}$ = $C/{19 × 10}$. So the required ratio is 144 : 160 : 190. The answer is 72 : 80 : 95.

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