Question
What is the smallest natural number that must be
multiplied with 45 to make the result a perfect square?Solution
ATQ, 45 = 3² × 5¹ For a perfect square, all prime exponents must be even. Exponent of 5 is 1 (odd), so multiply by 5 to make it 5². Smallest such number = 5.
14Â Â Â Â Â 15Â Â Â Â Â Â Â 32Â Â Â Â Â Â 99Â Â Â Â Â Â 400Â Â Â Â Â Â ?
...11, 12, 16, 25, ?, 66
36, 49, 23, 62, ?, 75
18, 25, 33, 42, 52, 63, ?
Direction: Which of the following will replace ‘?’ in the given question?
342, ‘?’, 420, 462, 506, 552, 60
15Â Â Â Â Â Â Â Â Â Â Â Â 13 Â Â Â Â Â Â Â Â 28 Â Â Â Â Â Â Â Â Â Â Â Â Â Â 24 Â Â Â Â Â Â Â Â Â Â Â Â Â Â 54 Â Â Â Â Â Â Â Â 52
...4 5 12 39 160 ?
...-3 -10 -40 -185 -905 -4500
-4 a b c d e
Find the value of d.
...16 18 14 20 12 ?
...A series is 48, 129, 298, 587, 1028, 1653
If another series 150, ___, m, ___, follows the same pattern as the given number series, then find th...
