Multiple choice

In an examination 65.6% of the candidates took Science, 40.8% took Sanskrit. If 1280 candidates took both the subjects, find the number of candidates that appeared in the examination.

  1. 2000

  2. 20000

  3. 22000

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using inclusion-exclusion: Total T = Science + Sanskrit - Both + Neither. Science% + Sanskrit% = 65.6% + 40.8% = 106.4%, which exceeds 100% by 6.4%. This 6.4% represents Both students. So Both = 0.064T = 1280. Therefore T = 1280/0.064 = 20,000. Verification: Science only = 0.656T - 1280 = 11840. Sanskrit only = 0.408T - 1280 = 6880. Total = 11840 + 6880 + 1280 = 20,000.

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