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BPSC 2020 — Quantitative Aptitude Questions with Answers

All 8 Quantitative Aptitude previous-year questions from BPSC 2020, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.

1. Q1.Sets and Venn Diagrams

   In a group of athletic teams in a school, there are 21 in the basketball team, 26 in the hockey team, and 29 in the football team. If 14 play hockey and basketball, 12 play football and basketball, 15 play hockey and football, and 8 play all three games, then how many play only football?

   • a)10
   • b)29
   • c)21
   • d)18
   • e)None of the above / More than one of the above
2. Q2.Time and Work

   Mohan can do a work in 25 days, which Sohan can complete in 20 days. Both work together for 5 days and after that Mohan leaves the work. How much time will Sohan take to complete the remaining work?

   • a)20 days
   • b)11 days
   • c)14 days
   • d)21 days
   • e)None of the above / More than one of the above
3. Q3.Number Systems

   Which of the following cannot be the square of a natural number?

   • a)26569
   • b)143642
   • c)30976
   • d)28561
   • e)None of the above / More than one of the above
4. Q4.Algebra

   Given: 217x + 131y = 913 131x + 217y = 827 Then x and y are respectively:

   • a)5 and 7
   • b)3 and 2
   • c)-5 and -7
   • d)2 and 5
   • e)None of the above / More than one of the above
5. Q5.Algebra

   (598+479)^2 - (598-479)^2 / (598 * 479) = ?

   • a)4
   • b)10
   • c)132
   • d)8
   • e)None of the above/More than one of the above
6. Q6.Percentages

   A city's population is 176400. If it increases at an annual rate of 5%, what will be its population after two years?

   • a)194481
   • b)296841
   • c)394481
   • d)396841
   • e)None of the above/More than one of the above
7. Q7.Permutations and Combinations

   If 2nC3 : nC2 = 44 : 3, then the value of n is

   • a)1
   • b)6
   • c)11
   • d)4
   • e)None of the above/More than one of the above
8. Q8.Averages

   If the average of m numbers is m^2 and the average of n numbers is n^2, then the average of m+n numbers is

   • a)n/m
   • b)m/n
   • c)mn
   • d)m-n
   • e)None of the above/More than one of the above