Question 36

Let x denote the greatest 4-digit number which when divided by 6, 7, 8, 9 and 10 leaves a remainder of 4, 5, 6 7 and 8 respectively. Then, the sum of the four-digits of x is

Solution

The least number which when divided by 6, 7, 8, 9 and 10 leaves a remainder of 4, 5, 6 7 and 8 respectively is LCM(6, 7, 8, 9, 10) -2

=2520-2= 2518

The number will be in the form of k * LCM(6, 7, 8, 9, 10) -2

When k = 3, the value of x =7558

When k = 4, the value of x =10078

So the value of x = 7558

Sum of the digits of x = 7+5+5+8= 25

A is the correct answer.

Share on Whatsapp Share on Whatsapp

Create a FREE account and get:

SNAP Quant Questions | SNAP Quantitative Ability

SNAP Logical Reasoning Questions SNAP Data Interpretation Questions

SNAP Syllabus

SNAP Admit Card

SNAP Cutoffs

SNAP Eligibility Criteria

SNAP Exam Dates

SNAP Colleges List

SNAP Study Material

SNAP Registration

SNAP Result

SNAP Previous Year Papers

SNAP Crash Course

SNAP Mock Tests