UPSC Mathematics Optional for IAS and IFoS

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CSAT Test Series (Full Syllabus) Paper – Set 1

CSAT Test Series (Full Syllabus) Paper - Set 1 1
Q1. A train running at a certain speed takes 20 seconds to cross a signal post and 50 seconds to cross a bridge. Which of the following statement is correct about the length of the bridge?
(a) 1.5 Times the length of the train
(b) 2.5 Times the length of the train
(c) 30 metres more than the length of the train
(d) Cannot be determined

Q2. Examine the following statements:
1. George attends Music classes on Monday.
2. He attends Mathematics classes on Wednesday.
3. His Literature classes are not on Firday.
4. He attends History classes on the day following the day of his Mathematics classes.
5. On Tuesday he attends his sports classes.

If he attends just one subject in a day and his Sunday is free then he is also free on
(a) Monday
(b) Thursday
(c) Saturday
(d) Friday

Q3. Consider the following:
1. Saxena, David, Jain and Kumar were District Collectors at places P, Q, R and S respectively in 1970.
2. In 1972, they were transferred. Saxena and Jain interchanged places. Kumar and David also interchanged places.
3. One year later in 1973, they were again transferred such that David and Jain interchanged places and Saxena and Kumar were also interchanged.

What should be the next round of transfers so that all the four persons could have been posted at all the four places?
(a) Interchanged Saxena and Davis as well as Jain and Kumar.
(b) Interchanged Saxena and Kumar as well as David and Jain.
(c) Interchange David and Kumar as well as Saxena and Jain.
(d) It is not possible for all the four persons to have been posted at all the four places.

Q4. Anand must be a vegetarian because he is a Budhist. The argument assumed that
(a) Most Buddhist are vegetarians
(b) All Buddists are vegetarians
(c) Only Buddhist are vegetarians
(d) Most vegetarians are Buddhists

Q5. Examine the following statements:
1. All children are inquisitive
2. Some children are inquisitive
3. No children are inquisitive
4. Some children are not inquisitive

Among these statements, the two statements which cannot be true simultaneously but can both be false would be
(a) 1 and 3
(b) 1 and 4
(c) 2 and 3
(d) 3 and 4

Q6. In an examination, 30% of the students fail in Maths, 25% fail in English and 15% in both. What is the pass percentage?
(a) 45%
(b) 55%
(c) 40%
(d) 60%

Q7. India’s Republic Day 1996 was celebrated on a Friday. Which week-day will it be celebrated in the year 2,000?
(a) Tuesday
(b) Wednesday
(c) Thursday
(d) Friday

Q8. The difference between the age of two friends is a prime number. If the elder friend is 20 years old. How many values can the age of younger friend take if sum of their ages is also a prime number?
(a) 0
(b) 1
(c) 4
(d) 3

Q9. What is the minimum number of square marbles required to tile a floor of length 5m 44cm and 5m 52cm wide?
(a) 192
(b) 187
(c) 1024
(d) 169

Q10. Rs1050 is divided among A, B and C in such a way that the share of A is 2/5 of the combined share of B and C. A will get
(a) Rs. 200
(b) Rs. 300
(c) Rs. 320
(d) Rs. 420

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