Ratio and Proportion Quiz Set 007 | Maths Aptitude Quiz Questions and Mock Test on Ratio and Proportion Set 7 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

What is x, if 110 : x :: 11 : 9?

90.

94.

86.

98.

Soln.
Ans: a

We have $110/x = 11/9$, which gives x = ${110 × 9}/11$ = 90.

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Question 2

The sides of a triangle are in the ratio 3 : 11 : 9, which is the longest side, if the perimeter is 460?

220.

222.

218.

224.

Soln.
Ans: a

Let the sides be 3x, 11x and 9x. We have 3x + 11x + 9x = 460, or 23x = 460, which gives x = 20, so the longest side is 11 × x = 11 × 20 = 220.

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Question 3

What is the ratio A : B : C if A = $7/12$B and B = $10/3$C?

35 : 60 : 18.

7 : 10 : 3.

12 : 10 : 3.

7 : 3 : 70.

Soln.
Ans: a

We can write B = $12/7$A. Now we can use B as the pivot and write $12/7$A = B = $10/3$C. Divide all three with 12 × 10 to get $A/{7 × 10}$ = $B/{12 × 10}$ = $C/{3 × 12}$. So the required ratio is 70 : 120 : 36. The answer is 35 : 60 : 18.

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Question 4

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 300. The phone was installed on June 19. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

Rs. 110.

Rs. 410.

Rs. 1010.

Rs. 710.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 19 = 11 days. The ratio on proportionate basis is $11/30$ × 300 = Rs. 110.

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Question 5

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 600. The phone was installed on June 10. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

Rs. 400.

Rs. 700.

Rs. 1300.

Rs. 1000.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 10 = 20 days. The ratio on proportionate basis is $20/30$ × 600 = Rs. 400.

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