What is the Cost Price of the article ? I. After selling the article, a loss of 25% on Cost Price incurred. II. The Selling Price is three-fourths of the Cost Price.
A :
If both the statements together are insufficient to answer the question.
B :
If any one of the two statements is sufficient to answer the question.
C :
If each statement alone is sufficient to answer the question.
D :
If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
Answer: B By default, the profit is always mentioned as a % of the CP. From statement (II), we see that the profit on the article is 25% of Rs. 250, which is Rs. 62.50. So the SP can be determined with the help of statement (II) alone.
Q. No. 87:
How old is Sachin in 1997? I. Sachin is 11 years younger than Anil whose age will be prime number in 1998. II. Anil‘s age was a prime number in 1996.
A :
If both the statements together are insufficient to answer the question.
B :
If any one of the two statements is sufficient to answer the question.
C :
If each statement alone is sufficient to answer the question.
D :
If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
Answer: A Anil‘s age was a prime number in 1996 and 1998. So Anil‘s age in these two yeas can be a pair of such numbers which are prime, and differ by 2. We have many such pairs - (3,5), (5, 7), (11, 13)….. And it is not possible to arrive at a unique answer. So the answer is (A).
Q. No. 88:
Is X = Y? I. X2 = Y2 . II. X + Y = 0.
A :
If the question can be answered by using any of the statements alone, but not by using
the other statement alone.
B :
If the question can be answered by using either of the statements alone.
C :
If the question can be answered only by using both the statements together.
Answer: D From I: X = Y or X = –Y. Hence, I alone is not sufficient. From II: X = –Y. If X is not equal to zero, then X is not equal to Y and if X is equal to zero, X is equal to Y. Hence, statement II is insufficient.
Q. No. 89:
Is Y negative? I. X + Y is positive. II. X – Y is positive.
A :
If the question can be answered by using any of the statements alone, but not by using
the other statement alone.
B :
If the question can be answered by using either of the statements alone.
C :
If the question can be answered only by using both the statements together.
Answer: D Consider X = 2 and Y = 1, as well as, X = 2 and Y = –1. Both sets satisfy both the statements. Hence, one cannot say whether Y is positive or negative.
Q. No. 90:
What is the average age of the students in a class? I. Sum of the ages of the students and teacher is 210. II. There are 20 students in the class.
A :
If the question can be answered by using any of the statements alone, but not by using
the other statement alone.
B :
If the question can be answered by using either of the statements alone.
C :
If the question can be answered only by using both the statements together.