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27 Feb 2015, 05:59
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When positive integer N is divided by positive integer P, the quotient is 18, with a remainder of 7. When N is divided by (P + 2), the quotient is 15 and the remainder is 1. What is the value of N?
A. 151
B. 331
C. 511
D. 691
E. 871
Kudos for a correct solution.
A. 151
B. 331
C. 511
D. 691
E. 871
Kudos for a correct solution.
27 Feb 2015, 21:44
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Bunuel
When positive integer N is divided by positive integer P, the quotient is 18, with a remainder of 7. When N is divided by (P + 2), the quotient is 15 and the remainder is 1. What is the value of N?
A. 151
B. 331
C. 511
D. 691
E. 871
Kudos for a correct solution.
A. 151
B. 331
C. 511
D. 691
E. 871
Kudos for a correct solution.
Just remember a simple formula: Dividend = Quotient * Divisor + Remainder
i.e. Div. = QD + R
Given that,
N = 18P + 7 ----- (i)
N = 15(P + 2) + 1 ----- (ii)
Equate (i) and (ii),
So, 18P + 7 = 15(P + 2) + 1
So, P = 8
Put P = 8 in (i)
Hence N = 151.
Hence option A.
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