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Which of the following has a value less than 1?
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18 Sep 2018, 02:28

Solution

To find:

• The option which has a value less than 1

Approach and Working:

• If the Numerator < Denominator, then \(\frac{N}{D} < 1\) (Note D must be > 0) • Option A: N = 14, D = 13, implies, N > D • Option B: N = \(\sqrt{10} > 3\), D = 2, implies, N > D • Option C: N = 2, D = \(\sqrt{2}\), implies, N > D • Option D: \(N = 1, D = \frac{1}{2}\), implies, N > D • Option E: \(N = 9^2 = 81\), \(D = 10^2 = 100\), implies, N < D

Thus, the value of \((\frac{9}{10})^2\) is less than 1