Question

A certain number when sucessively divided by 2, 3 and 5 leave remaindery 1, 2 and 3 respectively. Then what is the complete remainder?

a) 20

b) 21

c) 22

d) 23

Answer 1

Correct option: (d) 23

Explanation:

d1 = 2 d2 = 3 d3= 5

r1 = 1 r2 = 2 r3= 3

Complete remainder = d1 d2 r3 + d1 r2 + r1

= 2 x 3 x 3 + 2 x 2 + 1

= 18 + 4 + 1 = 23