1.

Find the least number which when divided by 12, 18, 24 and 30 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.1. 3662. 6343. 3844. 364

Answer» Correct Answer - Option 4 : 364

Concept Used-

The least number which is divisible by several numbers is the LCM of such numbers.

Calculation-

The least number which is divisible by 12, 18, 24 and 30 = LCM of 12, 18, 24 and 30

⇒ 360

Now the least number which leaves remainder as 4 when divided by 12, 18, 24 and 30 = 360 + 4

⇒ 364

Now, 364 is divisible by 7.

∴ 364 is the required number.



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