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31 Dec 2025, 22:00
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C
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Difficulty:
25%
(medium)
Question Stats:
80% (01:55) correct
20%
(01:56)
wrong
based on 114
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Both a and b are perfect squares, and the product a x b is divisible by 10 as well as by 15. By which of the following, the product a x b may not be divisible ?
A. 300
B. 150
C. 125
D. 50
E. 20
A. 300
B. 150
C. 125
D. 50
E. 20
01 Jan 2026, 09:26
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ExpertsGlobal5
Given that a and b are perfect squares.
a*b is divisible by 10 as well as by 15.
So, a*b contains factors which are at least multiples of both 15 and 10.
15 = 5*3
10 = 5*2
a*b should contain atleast 5s, 2s and 3s.
a*b should be minimum 5^2 * 2^2 *3^2
We need to look for option which does not divide the above equation.
A. 300
300 = 3*100 = 3*25*4. So, it divides 5^2 * 2^2 *3^2.
B. 150
150 = 5*3*5*2. It also divides 5^2 * 2^2 *3^2.
C. 125
125 = 5^3 , which DOESNOT DIVIDE 5^2 * 2^2 *3^2.
D. 50
50 = 5*5*2, this also divides 5^2 * 2^2 *3^2.
E. 20
20 = 2*5*2 , also divides 5^2 * 2^2 *3^2.
Option C.
