Consider all positive two digit numbers each of which when divided by 7 leaves a remainder 3 What is...........

Quantitative Aptitude (CDS) Number System

Download Solution PDF

Consider all positive two digit numbers each of which when divided by 7 leaves a remainder 3. What is their sum?

661

666

676

777

छोटे Courses बड़े Results

Master Number System

Prepare through Micro-courses

Try Now

Explanation:

The two-digit positive numbers, which when divided by 7 leave remainder 3, are 10, 17, 24, ..., 94.
These numbers are in AP with a = 10 and d = 7.
Suppose 94 is the nth term of the AP.
∴a_n=a+(n−1)d=94
⇒10+(n−1)×7=94
⇒n−1=84/7=12
⇒n=13
Therefore, the required sum
=n/2(a+I)=13/2 ×(10+94)

=13/2×104=676