In a competitive test taken by 160 candidates, 75 did not clear the language section, 68 failed the reasoning section, and 30 could not pass either of the two sections. How many students cleared both sections successfully?
(a) 40
(b) 17
(c) 47
(d) 50

Question

In a competitive test taken by 160 candidates, 75 did not clear the language section, 68 failed the reasoning section, and 30 could not pass either of the two sections. How many students cleared both sections successfully?
(a) 40
(b) 17
(c) 47
(d) 50

ONLiNE UPSC · Accepted Answer

Let total students = 160
Failed in language = 75
Failed in reasoning = 68
Failed in both = 30
Students who failed in at least one section = 75 + 68 &minus; 30 = 113
So, students who passed both = 160 &minus; 113 = 47
Hence, option c is correct.

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M Question 1	⏱ 0
In a competitive test taken by 160 candidates, 75 did not clear the language section, 68 failed the reasoning section, and 30 could not pass either of the two sections. How many students cleared both sections successfully? (a) 40 (b) 17 (c) 47 (d) 50