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CAT-2003-Previous Years Paper

Question
30 out of 50
 

Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3…96. How many of these sets contain 6 or any integral multiple there of (i.e. any one of the numbers 6, 12, 18, ...)?



A 80
B 81
C 82
D 83

Ans. A

By observing, we see 6 will appear in 5 sets T2, T3, T4, T5and T6. Similarly, 12 will also appear in 5 sets and these sets will be distinct from the sets in which 6 appears, i.e. T8, T9, T10, T11and T12. Thus, each multiple of 6 will be appear in 5 distinct sets. Till T96there will be 16 multiples which will appear in 16 × 5 = 80 sets.

CAT-2003-Previous Years Paper Flashcard List

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