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# a,b,c,d are positive integers. When a is divided by b, the remainder i

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BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 3131
Location: India
GPA: 3.12
a,b,c,d are positive integers. When a is divided by b, the remainder i  [#permalink]

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12 Nov 2017, 13:17
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00:00

Difficulty:

65% (hard)

Question Stats:

58% (01:30) correct 42% (02:32) wrong based on 62 sessions

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a,b,c,d are positive integers. When a is divided by b, the remainder is 7. When c is divded by d,
the remainder is 5. Which of the following cannot be the value of the product b * d?

A. 48
B. 56
C. 63
D. 69
E. 140

Source: Experts Global

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Joined: 02 Aug 2009
Posts: 6795
a,b,c,d are positive integers. When a is divided by b, the remainder i  [#permalink]

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12 Nov 2017, 17:30
2
1
pushpitkc wrote:
a,b,c,d are positive integers. When a is divided by b, the remainder is 7. When c is divded by d,
the remainder is 5. Which of the following cannot be the value of the product b * d?

A. 48
B. 56
C. 63
D. 69
E. 140

Source: Experts Global

Hi..

The Q is to do more with factors than anything else..

What message can you take from remainders-
b>7 and d>5

Let's see if the choices can be converted to factors that fit in
48=8*6...yes
56=8*7...yes
63=9*7...yes
69=23*3 or 1*69....NO
140=14*10...yes

Ans D..69
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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a,b,c,d are positive integers. When a is divided by b, the remainder i &nbs [#permalink] 12 Nov 2017, 17:30
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