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The number of rational numbers of the form p/q , where p, q ∈ {3, 4, 8, 9, 12} is(1) 25(2) 21(3) 19(4) 23 |
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Answer» Correct option (3) 19 Explanation: There are 5 numbers of the form P/q with 3 in the numerator. Similarly for each of 4, 8, 9 and 12. ∴ total number of numbers of the form p q is 5 × 5 = 25. But the value 1 is repeated 5 times, 1/3 is repeated twice and 3/4 is repeated twice. ∴ the number of distinct rational numbers formed = 25 − 4 − 1 − 1 = 19. |
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