PRM Practice Questions

59 Total Questions Quantitative Reasoning

Master GMAT PRM with comprehensive practice questions. Build your quantitative reasoning skills through detailed explanations and strategic practice.

Key Skills

  • Problem Solving
  • Analytical Thinking
  • Mathematical Reasoning
  • Strategic Analysis

Study Tips

  • Focus on understanding PRM concepts fundamentally
  • Practice with timer to improve speed and accuracy
  • Review explanations thoroughly to learn solution methods
  • Identify common patterns and shortcuts for this topic

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Question 1 of 5 Medium
How many different anagrams can you make for the word GMAT? How many different anagrams can you make for the word MATHEMATICS?
A
-5 ! and 11 ! / 2 ! * 2 ! * 2 !
B
-4 ! and 11 ! / 3 ! * 2 ! * 2 !
C
-4 ! and 11 ! / 2 ! * 2 ! * 2 !
D
-6 ! and 11 ! / 2 ! * 2 ! * 2 !
E
-4 ! and 11 ! / 2 ! * 3 ! * 3 !
View Explanation

Correct Answer: A

As ‘mathematics’ contains 11 letters so we can arrange them in 11! Ways but m, a and t are repeated or say are 2 times so we have to subtract repeated words to get exact count of words. Hence we will divide it by 2! 3 times to get the actual number of words . Why do we have to divide ?. As for every word if we interchange both m's position we get the exact word again. As we can see we have a copy of every word. So we have to divide the whole number of words into half to get rid of copies. Similarly we have to again divide into half for two t's and a's. So total no. of words = 11!/ (2!*2!*2!).
Question 2 of 5 Medium
There are 2 black balls, one red ball and one green ball, identical in shape and size. How many different linear arrangements can be generated by arranging these balls?
A
12
B
30
C
60
D
45
E
50
View Explanation

Correct Answer: A

Total items \( n=4 \).
Identical items: 2 black balls.

Permutations = \( \frac{4!}{2!} = \frac{24}{2} = 12 \).

The correct answer is A.
Question 3 of 5 Medium
A book store has received 8 different books, of which \( \frac{3}{8} \) are novels, \( 25\% \) are study guides and the remaining are textbooks. If all books must be placed on one shelf displaying new items and if books in the same category have to be shelved next to each other, how many different arrangements of books are possible?
A
18
B
36
C
72
D
216
E
432
View Explanation

Correct Answer: E

Number of Novels = \( \frac{3}{8} \times 8 = 3 \).
Number of Study Guides = \( 0.25 \times 8 = 2 \).
Number of Textbooks = \( 8 - 3 - 2 = 3 \).

Arrangement of 3 categories = \( 3! = 6 \).
Internal arrangements:
Novels: \( 3! = 6 \).
Study Guides: \( 2! = 2 \).
Textbooks: \( 3! = 6 \).

Total arrangements = \( 6 \times 6 \times 2 \times 6 = 432 \).

The correct answer is E.
Question 4 of 5 Medium
The organizers of a week-long fair have hired exactly five security guards to patrol the fairgrounds at night for the duration of the event. Exactly two guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different pairs of guards will be available to patrol the fairgrounds on the following Saturday night?
A
9
B
7
C
5
D
3
E
2

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Question 5 of 5 Medium
You have a bag of 9 letters: 3 Xs, 3 Ys, and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
A
5
B
6
C
9
D
12
E
18

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