If the 10-digit number 67127y76x2 is divisible by 88, then the value of (7x - 2y) is:
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Correct answer: B
Explanation
The correct answer is Option 2 i.e. 7
The number 67127y76x2 is given as divisible by 88
⇒ 88 = 8 × 11
The number 67127y76x2 satisfies the divisibility test of 8 and 11.
Divisibility test of 8:
We need to check the last 3 digits
⇒ 6x2/8 = 0(rem)
⇒ x = 3
Divisibility test of 11:
⇒ (2 + 6 + y + 2 + 7) - (3 + 7 + 7 + 1 + 6)
⇒ 17 + y - 24
⇒ y - 7 should be divisible by 11
⇒ y = 7
⇒ 7x - 2y
⇒ 7(3) - 2(7)
⇒ 21 - 14 = 7