CAT 2016 successive division sample question - Ascent Education - MBA entrance classes, courses
 LATEST NEWS • Ascent Success Stories • TANCET 16 Classes @ Chennai • XAT 16 Classes @ Chennai
 Home | Question Bank | Top B-Schools | Mock CATs | GD-PI | Forums | Contact us
 Ascent's Courses TANCET 2013 Classes TANCET MBA Study Material XAT Classes CAT Classroom Chennai CAT Correspondence India CAT Corres Abroad Mock CAT Series Math Shortcut Workshops MAT Classes GRE Classes GMAT Classes US B Schools Faculty List Business Partnership Jobs @ Ascent Testimonials Ascent Success Stories Contact Us +91 44 4500 8484 +91 44 4501 2141 +91 96000 48484
You are here: Home » CAT Math » Number Theory » Remainders of Successive division

#### Number systems - Quant/Math - CAT 2016

Question 4 the day : June 21, 2002

The question for the day is from the topic of Number systems. It is a question about Successive Division.

It is important that you know some of the theorems related to number systems. For instance, how the remainders and divisors behave and the relationship between them.

Here is a problem which uses the relationship between remainders and divisors.

Question
A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11, viz 88?

(1) 3
(2) 21
(3) 59
(4) 68

Correct Choice is (3) and Correct Answer is 59

When a number is successfully divided by two divisors d1 and d2 and two remainders r1 and r2 are obtained, the remainder that will be obtained by the product of d1 and d2 is given by the relation

d1r2 + r1.

Where d1 and d2 are in ascending order respectively and r1 and r2 are their respective remainders when they divide the number.

In this case, the d1 = 8 and d2 = 11. And r1 = 3 and r2 = 7
Therefore, d1r2 + r1 = 8*7 + 3 = 59.