Ratio and Proportion Quiz Set 016 | Maths Aptitude Quiz Questions and Mock Test on Ratio and Proportion Set 16 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

If a : b is 8 : 5, then what is (8a - 5b) : (9a - 6b)?

${13/14}$.

$2{1/13}$.

$2{9/16}$.

$3{7/16}$.

Soln.
Ans: a

Simply substitute the values to get (8a - 5b) : (9a - 6b) as (8 × 8 - 5 × 5) : (9 × 8 - 6 × 5) = $39/42$ = ${13/14}$.

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Question 2

If 40% of a number is equal to 4/7 of another number, then what is the ratio of first number to second number?

$1{3/7}$.

$2{5/6}$.

${1/3}$.

$3{4/9}$.

Soln.
Ans: a

We have ${40A}/100 = {4B}/7$, which can be re-arranged to $A/{4 × 100} = B/{40 × 7}$, so the required ratio is (4 × 100) : (40 × 7), which is 10 : 7. So the answer is ${10/7}$, which is same as: $1{3/7}$.

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Question 3

Two numbers M and N are in ratio 17 : 2. If they are, respectively, increased by 30% and 70%, what will be the new ratio of M : N?

$6{1/2}$.

$7{1/2}$.

$5{1/2}$.

$4{3/4}$.

Soln.
Ans: a

New M will scale to $130/100$ × 17, and N to $170/100$ × 2. New ratio is ${130 × 17}/{170 × 2}$ = ${13/2}$, which is same as: $6{1/2}$.

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Question 4

The ratio of shares of three friends in Rs. 1200 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

Rs. 400.

Rs. 404.

Rs. 396.

Rs. 408.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is $a/{(a - d) + a + (a + d)}$ × 1200 = $a/{3a}$ × 1200 = $1200/3$ = Rs. 400.

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