Q186 / 270 · NDA 2013 (Phase 2) · Mathematics

If the positive integers $a, b, c, d$ are in AP, then the numbers $a b c, a b d, a c d, b c d$ are in

Correct answer
A
HP
B
AP
C
GP
D
None of the above

Solution

$a, b, c, d$ are in A.P. then, $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}, \frac{1}{d}$ are in H.P. or, $\frac{a b c d}{a}, \frac{a b c d}{b}, \frac{a b c d}{c}, \frac{a b c d}{d}$ are in H.P. or, $b c d, a c d, a b d, a b c$ are in H.P.

Hence, the correct answer is option: 'A'.

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