UPSC PRELIMS 2023 CSAT PAPER-2 (28-May-2023)
Q (1-20) SET-A, SHORT TRICK SOLUTIONS FOR UPSC PREMLIMS 2023 CSAT PAPER-2 HELD ON 28-MAY-2023, MATHS AND REASONING
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4. Raj has 10 pairs of red, 9 pairs of white and 8 pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear. What is the maximum number of attempts he has to make?
a) 27
b) 36
c) 44
d) 45
5. In how many ways can a batsman score exactly 25 runs by scoring single runs, fours and sixes only, irrespective of the sequence of scoring shots?
a) 18
b) 19
c) 20
d) 21
6. There are 4 letters and 4 envelopes and exactly one letter is to be put in exactly one envelope with the correct address. If the letters are randomly inserted into the envelopes, then consider the following statements:
1. It is possible that exactly one letter goes into an incorrect envelope.
2. There are only six ways in which only two letters can go into the correct envelopes.
Which of the statements given above is/are correct one?
a) 1 Only
b) 2 Only
c) Both 1 and 2
d) Neither 1 nor 2
7. What is the remainder when 85 x 87 x 89 x 91 x 95 x 96 is divided by 100?
a) 0
b) 1
c) 2
d) 4
8. What is the unit digit in the expansion of (57242)^(9 x 7 x 5 x 3 x 1) ?
a) 2
b) 4
c) 6
d) 8
9. If ABC & DEF are both 3-digit numbers such that A, B, C, D, E & F are distinct non zero digits such that ABC+ DEF equals to 1111, then what is the value of A+ B+C+D+E+F?
a) 28
b) 29
c) 30
d) 31
10. D is a 3 digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the 100th place and digit at the unit place of D?
a) 0
b) 7
c) 8
d) 9
14. Three of the five integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following:
1. p + q + r - s -_t is definitely even.
2. 2p + q + 2r – 2s + t is definitely odd
Which of the above statements is/are correct?
a) 1 only
b) 2 only
c) Both 1 and 2
d) Neither 1 nor 2
15. Consider the following in respect of prime number p and composite numbers c.
(p+c)/(p-c) can be even.
2p+c can be odd.
pc can be odd.
Which of the statements given above are correct?
a) 1 and 2 only
b) 2 and 3 only
c) 1 and 3 only
d) 1, 2 and 3
16. A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A+B+C?
a) 18
b) 16
c) 15
d) Cannot be determined due to insufficient data
17. For any choices of values of X,Y & Z , the 6 digit number of the form XYZXYZ is divisible by:
a) 7 and 11 only
b) 11 and 13 only
c) 7 and 13 only
d) 7, 11 and 13
18. 125 identical cubes are arranged in the form of a cubical block. How many cubes are surrounded by other cubes from each side ?
a) 27
b) 25
c) 21
d) 18
19. How many distinct 8 digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?
a) 12
b) 18
c) 36
d) 72
20. A, B, C working independently can do a piece of work in 8, 16 and 12 days respectively. A alone works on Monday, B alone works on Tuesday, C alone works on Wednesday, A alone again works on Thursday and so on. Consider the following statements:
1. The work will be finished on Thursday
2. The work will be finished in 10 days
Which of the above statements is/are correct?
a) 1 only
b) 2 only
c) Both 1 and 2
d) Neither 1 nor 2
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