One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river, then the total number of camels are:

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answer is C.

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Detailed Solution

Given that,
One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river.
Let the total numbers of camels be

x

then the number of camels seen in the forest will be

x 4

.
Now, according to the question,

x 4 + 2 x + 15 = x ⇒ 3 x − 8 x − 60 = 0 ⇒ 3 y 2 − 8 y − 60 = 0 x = y 2

On simplifying further,

3 y 2 − 8 y − 60 = 0 ⇒ 3 y + 10 y − 6 = 0 ⇒ y = 6, y = − 103

The fractional value of y will be neglected because camels can’t be in fraction.
Now,

x = y 2 ⇒ x = 62 ⇒ x = 36

The number of camels is 36.
Hence, option 3 is correct.

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