UPSC IAS Prelims 2019
CSAT Question Paper-2
1. The number of times the digit 5 will appear while writing the integers from 1 to 1000 is
2. A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are Big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted?
3. A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?
4. Mr 'X' has three children. The birthday of the first child falls on the 5th Monday of April, that of the second one falls on the 5th Thursday of November. On which day is the birthday of his third child, which falls on 20th December?
5. Consider the following Statements and Conclusions:
1. Some rats are cats.
2. Some cats are dogs.
3. No dog is a cow.
I. No cow is a cat.
II. No dog is a rat.
III. Some cats are rats.
Which of the above conclusions is/are drawn from the statements?
(a) I, II and III
(b) Only I and II
(c) Only III
(d) Only II and III
6. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of four parallel lines, is
7. In a school every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?
8. When a runner was crossing the 12 km mark, she was informed that she had completed only 80% of the race. How many kilometres was the runner supposed to run in this event?
9. Raju has Rs. 9000 with him and he wants to buy a mobile handset; but he finds that he has only 75% of the amount required to buy the handset. Therefore, he borrows 2000 from a friend. Then
(a) Raju still does not have enough amount to buy the handset.
(b) Raju has exactly the same amount as required to buy the handset.
(c) Raju has enough amount to buy the handset and he will have 500 with him after buying the handset.
(d) Raju has enough amount to buy the handset and he will have 1000 with him after buying the handset.
10. In 2002, Meenu's age was one-third of the age of Meera, whereas in 2010, Meenu's age was half the age of Meera. What is Meenu's year of birth?