.For integer n, f(n) denotes the remainder when n is divided by integer k. Is k greater than 10?
1). f(k+32)=8
2). f(k+42)=6
1). f(k+32)=8
2). f(k+42)=6
Statement 1: (k + 32) leaves a remainder of 8 when divided by k.vipulgoyal wrote:.For integer n, f(n) denotes the remainder when n is divided by integer k. Is k greater than 10?
1). f(k+32)=8
2). f(k+42)=6
--> 32 leaves a remainder of 8 when divided by k
--> k is greater than 8 and (32 - 8) = 24 is divisible by k but 32 is not divisible by k
--> possible values of k are : 12 and 24
--> k > 10
Sufficient
Statement 2: (k + 42) leaves a remainder of 6 when divided by k.
--> 42 leaves a remainder of 6 when divided by k
--> k is greater than 6 and (42 - 6) = 36 is divisible by k but 42 is not divisible by k
--> possible values of k are : 9, 12, 18, and 36
If k = 9, k < 10
If k = 12, k > 10
Not sufficient
The correct answer is A.
