The remainder when 75 x 73 x 78 x 76 is divided by 34 is :
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 12
We have to find the remainder when 75 x 73 x 78 x 76 is divided by 34
⇒ 75/34 = 7 remainder
⇒ 73/34 = 5 remainder
⇒ 78/34 = 10 remainder
⇒ 76/34 = 8 remainder
Now,
(7 × 5 × 10 × 8)/34
⇒ (7 × 10)/34 = 2 remainder
⇒ (5 × 8)/34 = 6 remainder
= 6 × 2 = 12 remainder