ABC26GN0356 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?

(a)41

(b)53

(c)75

(d)80

Answer

Answer (as printed): B

Explanation

3 | $x$ ; 4 | $y-2$ ; 7 | $z-1$ ; 1-4 $$\begin{aligned} & z=7 \times 1+4=11 \\ & y=4 \times z+1=4 \times 11+1=45 \\ & x=3 \times y+2=3 \times 45+2=137 \end{aligned}$$

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

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