Number System Ques 30

Question

What is the least number which when divided by $10,15,18$ and 30 leaves the remainders 6,11 , 14 and 26 respectively?

(1) 90

(2) 74

(3) 86

(4) 100

(5) 96

(IBPS RRBs Officer Scale-I CWE Main Exam, 13.10.2019)

Show Answer

Answer: (3)

Solution: (3)

Here, divisor-respective remainder $=$ constant

$10-6=4 ; $

$15-11=4 ;$

$18-14=4 ;$

$30-26=4$;

Therefore, required answer $=(LCM$ of $10,15,18$ and $30)-4$ $=90-4=86$