1
UPSC Civil Service Prelims Paper II 2022 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If

15 × 14 × 13 × ... × 3 × 2 × 1 = 3m × n

where m and n are positive integers, then what is the maximum value of m?

A
7
B
6
C
5
D
4
2
UPSC Civil Service Prelims Paper II 2022 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
One non-zero digit, one vowel and one consonant from English alphabet (in capital) are to be used in forming passwords, such that each password has to start with a vowel and end with a consonant. How many such passwords can be generated?
A
105
B
525
C
945
D
1050
3
UPSC Civil Service Prelims Paper II 2022 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
There are 9 cups placed on a table arranged in equal number of rows and columns out of which 6 cups contain coffee and 3 cups contain tea. In how many ways can they be arranged so that each row should contain at least one cup of coffee?
A
18
B
27
C
54
D
81
4
UPSC Civil Service Prelims Paper II 2021 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.

Which of the following is/are correct?

1. S is always divisible by 74.

2. S is always divisible by 9.

select the correct answer using the code given below:

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
UPSC Civil Service Subjects
Comprehension
Data Interpretation and Sufficiency
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