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12 Jan 2026, 22:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:15) correct
30%
(01:44)
wrong
based on 114
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p, q, r, s are positive integers. When p is divided by q, the remainder is 6; when r is divided by s, the remainder is 11. Which of the following is the least possible value of q + s?
A. 15
B. 16
C. 17
D. 18
E. Greater than 18
A. 15
B. 16
C. 17
D. 18
E. Greater than 18
13 Jan 2026, 02:29
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So here is the solution to the question:-
It is given that p divided by q gives a remainder of 6, which means q > 6 or q is greater than or equal to 7
It is also given that r divided by s gives a remainder of 11, which means s > 11 or s is greater than or equal to 12
To get the least possible value of q + s, take the smallest possible values; q = 7, s = 12
Hence, q + s = 19
So, final correct answer:- Option E
It is given that p divided by q gives a remainder of 6, which means q > 6 or q is greater than or equal to 7
It is also given that r divided by s gives a remainder of 11, which means s > 11 or s is greater than or equal to 12
To get the least possible value of q + s, take the smallest possible values; q = 7, s = 12
Hence, q + s = 19
So, final correct answer:- Option E
13 Jan 2026, 03:17
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When a number is divided, the remainder is smaller than the divisor.
Therefore:
q>6 and r>11
So, minimizing q+r we get,
q=7 and r=12
q+r= 19
Therefore the answer is option E
Therefore:
q>6 and r>11
So, minimizing q+r we get,
q=7 and r=12
q+r= 19
Therefore the answer is option E
