Given:
Divisors: 8, 12, 16.
Remainder when divided by 8, 12, and 16: 3.
The number must be divisible by 7.
Solution:
L.C.M. of 8, 12, and 16 is 48.
But, get remainder = 3
Checking multiples of 48 (accounting for the remainder of 3):
51 (48 + 3) is not divisible by 7.
99 (48×2 + 3) is not divisible by 7.
147 (48×3 + 3) is divisible by 7.
∴ The correct answer is 147.
English
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90 Mins English English100 Questions100 Marks90 Mins English English40 Questions30 Marks25 Mins EnglishLet p be the greatest number of 4-digits which when divided by 21, 22, 24 and 28, the remainder in each case is 8. What is the sum of the digits of p?
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