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UPSC CSE Prelims 2019 — Quantitative Aptitude Questions with Answers

All 18 Quantitative Aptitude previous-year questions from UPSC CSE Prelims 2019, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.

1. Q1.Number System

   The number of times the digit 5 will appear while writing the integers from 1 to 1000 is

   • a)269
   • b)271
   • c)300
   • d)302
2. Q2.Percentage

   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?

   • a)60%
   • b)45.5%
   • c)40%
   • d)37.5%
3. Q3.Number System

   In a school every student is assigned 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?

   • a)4
   • b)8
   • c)10
   • d)12
4. Q4.Percentage

   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?

   • a)14
   • b)15
   • c)16
   • d)16.5
5. Q5.Percentage

   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 Rs 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 Rs 500 with him after buying the handset.
   • d)Raju has enough amount to buy the handset and he will have Rs 1000 with him after buying the handset.
6. Q6.Linear Equations

   Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent Rs 1300 and Rajesh spent Rs 1500. If each racket costs three times a ball does, then what is the price of a racket?

   • a)Rs 70
   • b)Rs 90
   • c)Rs 210
   • d)Rs 240
7. Q7.Number System

   The ratio of a two-digit natural number to a number formed by reversing its digits is 4 : 7. The number of such pairs is

   • a)5
   • b)4
   • c)3
   • d)2
8. Q8.Percentage

   In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?

   • a)360
   • b)380
   • c)400
   • d)420
9. Q9.Time Speed Distance

   X, Y and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to compete in a race of 1000 m, how many metres start will Y give to Z?

   • a)20
   • b)25
   • c)30
   • d)35
10. Q10.Inequalities

    If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?

    • a)x is greater than y
    • b)(y-x) is greater than 15
    • c)(y-x) is less than or equal to 15
    • d)(x+y) is greater than or equal to 65
11. Q11.Percentage

    Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered very good discount on that particular handset. Rakesh could buy 10 mobile handsets with the amount he had. What was the discount the retailer offered?

    • a)15%
    • b)20%
    • c)25%
    • d)30%
12. Q12.Average

    The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are

    • a)39
    • b)39.7
    • c)40
    • d)40.3
13. Q13.Fractions

    If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is

    • a)always less than the original fraction
    • b)always greater than the original fraction
    • c)always equal to the original fraction
    • d)such that nothing can be claimed definitely
14. Q14.Number System

    A printer numbers the pages of a book starting with 1 and uses 3089 digits in all. How many pages does the book have?

    • a)1040
    • b)1048
    • c)1049
    • d)1050
15. Q15.Average

    A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?

    • a)48 kg
    • b)50 kg
    • c)52 kg
    • d)54 kg
16. Q16.Number System

    Number 136 is added to 5B7 and the sum obtained is 7A3, where A and B are integers. It is given that 7A3 is exactly divisible by 3. The only possible value of B is

    • a)2
    • b)5
    • c)7
    • d)8
17. Q17.Number System

    Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is

    • a)18 units
    • b)15 units
    • c)16 units
    • d)30 units
18. Q18.Number System

    An 8-digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible?

    • a)2
    • b)3
    • c)4
    • d)6