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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