HOME
SAT CLASSES
SAT QUESTIONS
SAT FORUM
SAT FAQ
ABOUT US
You are here: Home » SAT Practice Questions » Math » Numbers & Operations » Remainders

NUMBERS AND OPERATIONS - REMAINDERS / DIVISIBILITY

The question given below is a sample question in Numbers and operation. The given question is a divisibility and remainder question.

Question

What is the remainder when 163 + 173 + 183 + 193 is divided by 70?

A. 0
B. 69
C. 1
D. 34
E. 47

Correct answer is 0. Choice A.

Explanatory Answer

The expression can be rewritten as 163 + 193 + 173 + 183
= (16 + 19)(162 - 16 * 19 + 192) + (17 + 18)(172 - 17*18 + 182)
= 35 (162 - 16 * 19 + 192 + 172 - 17*18 + 182)
= 35 (even number).

When 35 is multiplied by an even number, the product will be divisible by 70.

Therefore, the remainder is '0'.

SAT Prep Classes India
SAT Classes @ Chennai, India
4 weeks intensive classroom coaching for SAT. On weekdays at Mylapore, Madras. Next batch starts June 26, 2008.
SAT Coaching classes
SAT Prep Classes India
SAT Mailing List
A free mailing list (Yahoo groups) where you can sign up to receive information related to SAT. SAT practice questions will be sent periodically to list members.
SAT Coaching classes
SAT Mailing List, Yahoo groups
Free SAT Sample Questions
Archives of questions and answers sent by email to Yahoo group members. Free sample SAT practice questions are indexed topic wise.
SAT Preparation Questions Answers
[SAT FAQ] [Why CrackSAT?] [Top US Universities] [GMAT Classes] [IIM CAT Classes] [GRE Classes] [TANCET Classes] [XAT Classes]
Copyright 2006-08 CrackSAT.com. All rights reserved. A Test Catalyst (India) P Ltd initiative
SAT, College Board and other trademarks are properties of respective trademark holders. None of the trademark holders are affiliated with Test Catalyst or this web site.