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BPSC 2022 — Arithmetic Questions with Answers

All 10 Arithmetic previous-year questions from BPSC 2022, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.

1. Q1.Number System

   How many numbers between 200 and 600 are divisible by 4, 5 and 6?

   • a)4
   • b)5
   • c)6
   • d)8
   • e)None of the above/More than one of the above
2. Q2.Number System

   If n is any positive integer, then (3^(4n) − 4^(3n)) is always divisible by

   • a)7
   • b)17
   • c)112
   • d)145
   • e)None of the above/More than one of the above
3. Q3.Algebra

   The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are

   • a)600, 400
   • b)640, 360
   • c)628, 372
   • d)650, 350
   • e)None of the above/More than one of the above
4. Q4.Logarithms

   The value of log_(√2)(32) is

   • a)5/2
   • b)5
   • c)10
   • d)1/10
   • e)None of the above/More than one of the above
5. Q5.Profit and Loss

   By selling 45 lemons for ₹40, a man loses 20%. How many should he sell for ₹24 to gain 20% in the transaction?

   • a)16
   • b)18
   • c)20
   • d)22
   • e)None of the above/More than one of the above
6. Q6.Time, Speed and Distance

   A train 110 m long is travelling at a speed of 58 kmph. The time in which it will pass a passerby walking at 4 kmph in the same direction is

   • a)6 seconds
   • b)7 1/2 seconds
   • c)7 1/3 seconds
   • d)8 seconds
   • e)None of the above/More than one of the above
7. Q7.Mensuration

   The perimeter of a rhombus is 52 m and its shorter diagonal is 10 m. The length of the longer diagonal is

   • a)12 m
   • b)18 m
   • c)10 m
   • d)24 m
   • e)None of the above/More than one of the above
8. Q8.Time, Speed and Distance

   In a 100 m race, A runs at 8 kmph. If A gives B a start of 4 m and still beats him by 15 seconds, what is the speed of B?

   • a)5 kmph
   • b)5·76 kmph
   • c)6 kmph
   • d)6·34 kmph
   • e)None of the above/More than one of the above
9. Q9.Clocks

   A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?

   • a)12 noon
   • b)48 minutes past 12 noon
   • c)1 p.m.
   • d)2 p.m.
   • e)None of the above/More than one of the above
10. Q10.Algebra

    The value of the continued fraction 2 − 1/(2 − 1/(2 − 1/...)) is

    • a)1
    • b)−1
    • c)2
    • d)0
    • e)None of the above/More than one of the above