Question 83

A number is formed by writing first 54 natural numbers next to each other as 12345678910111213 ... Find the remainder when this number is divided by 8.

Solution

For a number to be divisible by 8, last 3 digits must be divisible by 8.

Last 3 digits of this number are 354.

354 mod 8 = 2

Hence, 2 is the remainder.

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
35+ CAT previous papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Remainders Questions CAT Mensuration Questions CAT Time And Work Questions CAT Probability, Combinatorics Questions CAT Percentages Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Quant Based LR Questions CAT Table with Missing values Questions CAT Scheduling Questions CAT Data Interpretation Basics Questions CAT DI Miscellaneous Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles Questions CAT Grammar and Sentence Correction Questions CAT Verbal Ability Questions CAT Reading Comprehension Questions CAT Vocabulary Questions

Related Formulas With Tests

Divisibility by different numbers

Follow us on

Boost your Prep!

Download App