Question

Solve it Quickly Math Question​

Answer 1

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➽ Let the number be x.

when x ÷ 2 leaves remainder as 1.

when x ÷ 3 leaves remainder as 2.

when x ÷ 4 leaves remainder as 3.

when x ÷ 5 leaves remainder as 4.

when x ÷ 6 leaves remainder as 5.

when x ÷ 7 leaves remainder as 0.

⇒ x is divisible by 7

The remainder in each case is 1 less than the divisor.

⇒ (x + 1) is the LCM of 2, 3, 4, 5 and 6.

LCM of 2, 3, 4, 5 and 6 = 60.

If x + 1 = 60, then x = 59.

But 59 is not divisible by 7.

If x + 1 = 120, then x = 119.

119 is divisible by 7 also it satisfies all the conditions.

Hence the number of mangoes = 119