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Data Sufficiency - Percentage of male employees with engineering background

CAT 2007 Slot 1 · Data Interpretation & Logical Reasoning · Medium · Data Sufficiency

This is a medium Data Interpretation & Logical Reasoning question from the CAT 2007 Slot 1 paper. It tests Data Sufficiency. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Thirty per cent of the employees of a call centre are males. Ten per cent of the female employees have an engineering background. What is the percentage of male employees with engineering background?

A. Twenty five per cent of the employees have engineering background. B. Number of male employees having an engineering background is 20% more than the number of female employees having an engineering background.

  1. A.

    Statement A alone is sufficient but statement B alone is not sufficient

  2. B.

    Statement B alone is sufficient but statement A alone is not sufficient

  3. C.

    Either statement alone is sufficient

  4. D.

    Both statements together are sufficient but neither alone is sufficient

  5. E.

    Statements A and B together are not sufficient

Answer

C

Explanation

Let total employees =100= 100. Males =30= 30, Females =70= 70. Female engineers =10%= 10\% of 70=770 = 7. Statement A: Total engineers =25  ⟹  = 25 \implies Male engineers =25−7=18  ⟹  1830=60%= 25 - 7 = 18 \implies \frac{18}{30} = 60\%. Sufficient. Statement B: Male engineers =1.20×7=8.4  ⟹  = 1.20 \times 7 = 8.4 \implies Percentage =8.430=28%= \frac{8.4}{30} = 28\%. Sufficient. Either statement alone is sufficient.

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