At a recruitment test the candidates were tested for General Awareness GA and Quantitative Technique...........

Quantitative Aptitude (MTS) Percentage

At a recruitment test, the candidates were tested for General Awareness (GA) and Quantitative Techniques (QT). 54% and 45%,

failed in GA and QT, respectively, while 16%, failed in both. If 136 candidates passed in both. what was the total number of

candidates?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-3

800

640

600

850

To determine the total number of candidates, we can use the principle of inclusion-exclusion. Here’s the breakdown:

- Total failed in GA = 54%

- Total failed in QT = 45%

- Failed in both = 16%

- Using the principle of inclusion-exclusion:

- Failed in either GA or QT or both = 54% + 45% - 16% = 83%

- Passed in both: 100% - 83% = 17%

- Given that 136 candidates passed in both (which is 17% of total candidates):

- Let total candidates = X

- 0.17X = 136

- X = 800

The total number of candidates is 800.

- Option 1: 800 — Correct choice.

- Option 2: 640

- Option 3: 600

- Option 4: 850

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