100. If p = r q - 289, is p divisible by 18?
(1) q is an even natural number and r is a multiple of 19
(2) (p - 1098) is divisible by 18
Below is the explanation they gave but the only reasoning for B being sufficient to them is they quoted "possible" Aren't DS questions based on either it solves the problem or Not. Not "possibility"
Explanation:
Taking r=19 and q=2,
p= 192 -289
= 361 - 289
= 72, which is divisible by 18.
But taking r= 38 and q = 2,
p= 1444 - 289 = 1155, which is not divisible by 18; NOT SUFFICIENT.
Statement 2: (p - 1098) is divisible by 18 is possible only when p is divisible by 18, because 1098 itself is divisible by 18; SUFFICIENT.
The correct answer is B;
statement 2 alone is sufficient.
(1) q is an even natural number and r is a multiple of 19
(2) (p - 1098) is divisible by 18
Below is the explanation they gave but the only reasoning for B being sufficient to them is they quoted "possible" Aren't DS questions based on either it solves the problem or Not. Not "possibility"
Explanation:
Taking r=19 and q=2,
p= 192 -289
= 361 - 289
= 72, which is divisible by 18.
But taking r= 38 and q = 2,
p= 1444 - 289 = 1155, which is not divisible by 18; NOT SUFFICIENT.
Statement 2: (p - 1098) is divisible by 18 is possible only when p is divisible by 18, because 1098 itself is divisible by 18; SUFFICIENT.
The correct answer is B;
statement 2 alone is sufficient.
