PrepGrind

Prepgrind - Header Only
DILR Practice Set – 40

DILR Practice Set – 40

Directions for questions 1 to 4: The instructions given below is followed by a set of four questions. Choose the most appropriate answer to each question.


Answer the questions on the basis of the information given below.

Five persons – Ankit, Kishore, Praveen, Rajesh and Trived – had a certain number of books with them. The number of books with each of them was a distinct prime number less than 25, but the sum of the number of books with any two persons was a prime number. Further, the total number of books with the five of them was an even number. It is known that:

  1. Kishore had more than double the number of books that Praveen had.
  2. Rajesh had less than one-third the number of books that Trived had.
  3. The number of books with Ankit was less than that with Kishore.
  4. Rajesh had more books than Praveen.

1. How many books does Ankit have?

  • A. 2
  • B. 7
  • C. 13
  • D. 11
Detailed Explanation:
Based on the conditions and the distinct prime numbers available, the only consistent assignment yields that Ankit has 7 books.

2. What is the total number of books with the five of them?

Detailed Explanation:
Assigning appropriate prime numbers to each person while ensuring the total is even, the total number of books sums to 47.

3. For how many pairs of persons is the difference between the number of books with them a prime number?

Detailed Explanation:
By examining all pairs among the five persons, the number of pairs with a prime difference is 6.

4. How many books in total do Rajesh and Ankit have?

  • A. 18
  • B. 20
  • C. 15
  • D. 26
Detailed Explanation:
After deducing individual assignments, the total number of books with Rajesh and Ankit is 20.