Ratio, Proportion, Indices, LogarithmMCQPYQ Dec 21Question 802 of 305
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In a department, the number of males and females are in the ratio 3:2\displaystyle 3:2. If 2\displaystyle 2 males and 5\displaystyle 5 females join the department, then the ratio becomes 2:1\displaystyle 2:1. Initially, the number of females in the department is

Options

A9\displaystyle 9
B8\displaystyle 8
C3\displaystyle 3
D6\displaystyle 6
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Correct Answer

Option b8\displaystyle 8

All Options:

  • A9\displaystyle 9
  • B8\displaystyle 8
  • C3\displaystyle 3
  • D6\displaystyle 6

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Detailed Solution & Explanation

Let the initial number of males and females in the department be 3x\displaystyle 3x and 2x\displaystyle 2x respectively.
When 2\displaystyle 2 males and 5\displaystyle 5 females join, the new counts are 3x+2\displaystyle 3x + 2 and 2x+5\displaystyle 2x + 5 respectively.
The new ratio is 1:1\displaystyle 1 : 1, which means the counts are equal:
3x+2=2x+53x + 2 = 2x + 5
3x2x=52    x=33x - 2x = 5 - 2 \implies x = 3
Initially, the number of females is:
Females=2x=2(3)=6\text{Females} = 2x = 2(3) = 6

About This Chapter: Ratio, Proportion, Indices, Logarithm

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

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Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

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