If the 7-digit number 2y6810x is divisible by 88, then what is the val

1.	If the 7-digit number 2y6810x is divisible by 88, then what is the value of the product of x and y?1. 202. 353. 104. 15
Answer» 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

If the 7-digit number 2y6810x is divisible by 88, then what is the value of the product of x and y?1. 202. 353. 104. 15

Answer» 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

Discussion

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