Question 120

The sum of all two digit numbers that give a remainder 2 when they are divided by 7 is _______

Solution

$$\frac{12}{2}\left(16+93\right)$$The numbers will be of the form 7k+2 where k is an whole number.

The smallest two digit number is when k=2 which is 16 and the largest 2 digit number is 93 k= 13

So sum = 16+23+.... +93 which are in AP.

Sum to n terms of an AP= n/2(a+l), where n=number of terms , a=1st term ,l=last term

Here n=12 , a=16 , l=93

Hence sum = 654

Share on Whatsapp Share on Whatsapp

Create a FREE account and get:

SNAP Quant Questions | SNAP Quantitative Ability

SNAP Data Interpretation Questions SNAP Logical Reasoning 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