1
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833

A box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls. Consider the following statements:

1. The smallest number n such that any n balls drawn from the box randomly must contain one full group of at least one colour is 175.

2. The smallest number m such that any m balls drawn from the box randomly must contain at least one ball of each colour is 167.

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
2
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
What is the sum of all 4-digit numbers less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digits is repeated?
A
7998
B
8028
C
8878
D
9238
3
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
What is the number of selections of 10 consecutive objects in clockwise direction out of 12 objects arranged in a circle?
A
3
B
11
C
12
D
66
4
UPSC Civil Service Prelims Paper II 2023 (CSAT)
MCQ (Single Correct Answer)
+2.5
-0.833
In an examination, the maximum marks for each of the four papers namely P, Q, R and S are 100. Marks scored by the students are in integers. A student can score 99% in n different ways. What is the value of n?
A
16
B
17
C
23
D
35
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