If 37X3 is a four-digit natural number divisible by 7, then the place marked as X must have the value · ABC26GN0283

Subject: General Aptitude · Chapter: Number System

If 37X3 is a four-digit natural number divisible by 7, then the place marked as $X$ must have the value

(a)0

(b)3

(c)5

(d)9

Answer

Answer (as printed): A

Explanation

37 × 3 is divisible by 7 ⇒ (7 × 3 – 3) is either 0 or divisible by 7) ⇒ 7 × 0 is divisible by 7. ⇒ X = 0 or X = 7.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Number System