CAT 1991 — QA Question 54
Answer the following questions based on the information given below:
There were a hundred schools in a town. Of these, the number of schools having a play – ground was 30, and these schools had neither a library nor a laboratory. The number of schools having a laboratory alone was twice the number of those having a library only. The number of schools having a laboratory as well as a library was one fourth the number of those having a laboratory alone. The number of schools having either a laboratory or a library or both was 35.
Each of these items has a question followed by two statements. As the answer,
Type 1, If the question can be answered with the help of statement I alone,
Type 2, If the question can be answered with the help of statement II alone,
Type 3, If both the statement I and statement II are needed to answer the question, and
Type 4, If the question cannot be answered even with the help of both the statements.
X says to Y, “I am 3 times as old as you were 3 years ago”. How old is X?
- Y’s age 17 years from now will be same as X’s present age.
- X’s age nine years from now is 3 times Y’s present age.
Answer & solution
1
- B
2
- C
3
- D
4
Let present age of X and Y be x and y respectively.
We have, x = 3(y - 3) ... (i)
From statement I, x = y + 17 ... (ii)
From statement II, x + 9 = 3y ... (iii)
From (i) and (ii) x = 37.5 years and y = 12.5 years
But, equations (i) and (iii) are same so we cannot find values of x and y.
Hence, 1.