What is the least integer which when subtracted from both numerator and denominator of 60 by 70 will give a ratio equal to 16 by 21?

Calculate the least whole number, which when subtracted from both the terms of the ratio 5 : 6 gives a ratio less than 17 : 22.

  1. 5
  2. 3
  3. 2
  4. 4

Answer (Detailed Solution Below)

Option 3 : 2

Free

10 Questions 10 Marks 7 Mins

Given:

Initial ratio = 5 ∶ 6

Final ratio should be less than 17 ∶ 22

Calculation:

Let the least whole number that is needed to be subtracted be a.

According to the question,

(5 - a)/(6 - a) < 17/22

⇒ 5 × 22 - 22a < 17 × 6 - 17a 

⇒ 110 - 22a < 102 - 17a 

⇒ 110 - 102 < - 17a + 22a 

⇒ 8 < 5a 

⇒ 8/5 = 1.6 < a 

∴ The least whole number must be 2.

Last updated on Sep 21, 2022

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  • Aptitude
  • Ratio and Proportions


A) 5

B) 4

C) 3

D) 2

Correct Answer:

C) 3

Description for Correct answer:
\( \Large \frac{6 - x}{7 - x} < \frac{16}{21} \)

126 - 21x < 112 - 16x

126 - 112 < 21x - 16x

14 < 5x

\( \Large \frac{14}{5} < x \)

2.8 < x

x = 3 (From option)

Part of solved Ratio and Proportions questions and answers : >> Aptitude >> Ratio and Proportions


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Updated On: 27-06-2022

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Text Solution

Answer : The smallest positive integer is 3.

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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What is the least integer which when subtracted from both numerator and denominator of 60 by 70 will give a ratio equal to 16 by 21?

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What is the least integer which when subtracted from both numerator and denominator of 60 70 will give a ration equal to 16 21?

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