CUET General Test: Quantitative ReasoningPermutation & Combination. Free, no login required.

Q1:

2026: 6 June Shift 1

Permutation & Combination

Medium

In how many different ways can the letter of the word "DIGEST" be arranged so that the vowels are at the two ends?

Answer options
Option 4
Correct Answer
Explanation for 2026: 6 June Shift 1 GET question 1

Q2:

2026: 31 May Shift 2

Permutation & Combination

Medium

In how many different ways can the letters of the word 'OPTICAL' be arranged in such a way that the vowels always come together?

Answer options
Option 4
Correct Answer
Explanation for 2026: 31 May Shift 2 GET question 2

Q4:

2026: 30 May Shift 2

Permutation & Combination

Medium

Match List-I with List-II

List-IList-II
(A) 5P4−5P2^5P_4 - {^5P_2}(I) 120
(B) 15C11−10C4^{15}C_{11} - {^{10}C_4}(II) 2520
(C) In how many ways, the letters of the word 'STRESS' be arranged?(III) 100
(D) In how many ways, the letters of the word 'BANKING' be arranged?(IV) 1155

Choose the correct answer from the options given below:

Answer options
Option 3
Correct Answer
Explanation for 2026: 30 May Shift 2 GET question 4

Q5:

2026: 30 May Shift 1

Permutation & Combination

Medium

How many three digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digit is repeated?

Answer options
Option 3
Correct Answer
Explanation for 2026: 30 May Shift 1 GET question 5

Q8:

2026: 26 May Shift 1

Permutation & Combination

Easy

In how many different ways can the letters of the word "MANAGEMENT" be arranged?

Answer options
Option 4
Correct Answer
Explanation for 2026: 26 May Shift 1 GET question 8

Q14:

2026: 21 May Shift 2

Permutation & Combination

Easy

In how many ways can 4 boys and 3 girls be seated in a row if girls must sit together?

Answer options

Q16:

2026: 20 May Shift 2

Permutation & Combination

Medium

How many 5-digit numbers can be formed by using digits 1, 2, 3, 4, 5 if 2 and 3 cannot come together?

Answer options

Q17:

2026: 20 May Shift 1

Permutation & Combination

Medium

In how many different ways, can the letters of words OPTICAL be arranged so that the vowels are never together?

Answer options

Q18:

2026: 19 May Shift 2

Permutation & Combination

Medium

A committee of 5 members is to be formed by selecting out of 6 men and 4 women. In how many different ways the committee can be formed if it should have at least 2 women?

Answer options

Q19:

2026: 19 May Shift 1

Permutation & Combination

Medium

In how many different ways can letters of the word "REASONING" be arranged?

Answer options

Q20:

2026: 18 May Shift 2

Permutation & Combination

Medium

Match the LIST-I with LIST-II

LIST-I (Expression/Statements etc.)LIST-II (Values etc.)
A. 5P5−10C0^5P_5 - ^{10}C_0I. 22
B. 15C11−16C2^{15}C_{11} - ^{16}C_2II. 2520
C. If nP3=9240^nP_3 = 9240, then find the value of n.III. 0
D. In how many ways, the letters of the word 'BANKING' be arranged?IV. 1245

Choose the correct answer from the options given below:

Answer options

Q22:

2026: 14 May Shift 2

Permutation & Combination

Medium

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

Answer options

Q23:

2026: 14 May Shift 1

Permutation & Combination

Easy

How many words with or without meaning can be formed by using all the letters of the word 'NCFSE' using each letter exactly once?

Answer options

Q24:

2026: 12 May Shift 2

Permutation & Combination

Easy

In how many ways, can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

Answer options

Q25:

2026: 12 May Shift 1

Permutation & Combination

Easy

A team of 3 tennis players is to be finalized from a group of 2 male and 3 female. In how many ways this can be done and how many teams which consist of 1 male and 2 female?

Answer options

Q27:

2025: 3 June Shift 1

Permutation & Combination

Medium

In how many different ways can the word "DAUGHTER" be arranged so that the vowels always come together?

Answer options

Q30:

2025: 29 May Shift 2

Permutation & Combination

Medium

In how many different ways can the letters of the word 'OFFICE' be arranged so that the vowels never come together?

Answer options