Question
Identify the number that, when subtracted by its square
root, results in a difference of 42.Solution
Let the number be 'x'. So, x - 42 = √x On, squaring both sides, we have; (x - 42) 2 = (√x) 2 Or, x2 + 1764 - 84x = x Or, x2 - 85x + 1764 = 0 Or, x2 - 36x - 49x + 1764 = 0 Or, x(x - 36) - 49(x - 36) = 0 Or, (x - 49) (x - 36) = 0 So, x = 49 or x = 36 We can see that 'x' = 36 will not satisfy the equation, so x = 49 Hence, option d.
More No. System Questions
What will come in place of the question mark (?) in the following number series?
124, 131, 117, ?, 110, 145
7 7 28 252 ?
...26, 227, 628, 1229, ?, 3031
97, 106, ?, 195, 411, 460
- Find the missing number in the given number series.
42, 37, 45, 40, 48, ? Choose the missing term.
3F, 6G, 11I, 18L,?
4097, ?, 4359, 4493, 4629, 4767
7, 8, ?, 52, 209, 1046
24, 35, 48, 65, 84, 107
124, 180, 108, 198, ?, 220
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