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If the 7-digit number 2y6810x is divisible by 88, then what is the value of the product of x and y?
1. 20
2. 35
3. 10
4. 15

1 Answer

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Correct Answer - Option 1 : 20

Given:

the 7-digit number 2y6810x is divisible by 88.

Concept used:

Divisibility

Calculation:

If a number is divisible by 88 means it is divisibly by 11 and 8

⇒ 11 × 8 = 88

To check the divisibility of 8 check the last three digits

In 10x let the x be 4

104 is completely divisible by 8

∴ x = 4

Divisibility of 11

⇒ (sum of digits at odd places - Sum of digits at even places) = 0 or 11

⇒ (4 + 1 + 6 + 2) - (y + 8) = 0

⇒ 13 - y - 8 = 0

∴  y = 5

Product of x and y 

⇒  4 × 5 = 20

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