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UPPSC 2025 — Quantitative Aptitude Questions with Answers

All 21 Quantitative Aptitude previous-year questions from UPPSC 2025, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.

1. Q1.Numeracy

   The linear equation 3x-5y = 15 has

   • a)(a) a unique solution
   • b)(b) no solution
   • c)(c) two solutions
   • d)(d) infinitely many solutions
2. Q2.Numeracy

   Find the odd number out. 1, 2, 4, 8, 16, 32, 64, 96

   • a)32
   • b)96
   • c)4
   • d)64
3. Q3.Numeracy

   A, B and C are employed to do a piece of work for Rs. 529. A and C are supposed to finish 99/23 of the work together. How much shall be paid to B?

   • a)Rs. 82
   • b)Rs. 437
   • c)Rs. 92
   • d)Rs. 300
4. Q4.Numeracy

   Find the missing number in the following number series. 3, 5, 8, 10, ?, 15, 18, 20

   • a)(a) 13
   • b)(b) 11
   • c)(c) 14
   • d)(d) 12
5. Q5.Numeracy

   A 280 meter long train is moving at 60 km/h. The time taken by the train to cross a 220 meter long tunnel, is

   • a)(a) 15 sec.
   • b)(b) 30 sec.
   • c)(c) 20 sec.
   • d)(d) 25 sec.
6. Q6.Numeracy

   Two persons A and B working together, can dig a trench in 8 hours, while A alone can dig it in 12 hours. In how many hours B alone can dig the same trench?

   • a)(a) 24 hours
   • b)(b) 30 hours
   • c)(c) 26 hours
   • d)(d) 28 hours
7. Q7.Numeracy

   Eleven friends meet at a party. Each one shakes hand with each of the others once. The number of possible hand shakes is

   • a)(a) 65
   • b)(b) 22
   • c)(c) 55
   • d)(d) 56
8. Q8.Numeracy

   At present, the mothers age is, three times the daughter's age. After twelve years the age of the mother will be twice of her daughter. At present what is the daughter's age?

   • a)18 year
   • b)12 year
   • c)16 year
   • d)14 year
9. Q9.Numeracy

   Two numbers are in the ratio 3: 5. If each number is increased by 10, the ratio becomes 5: 7. The numbers are

   • a)3, 5
   • b)18, 30
   • c)12, 20
   • d)15, 25
10. Q10.Numeracy

    If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1,200, find the compound interest on the same sum for the same period at the same rate.

    • a)Rs. 1,261
    • b)Rs. 1,690
    • c)Rs. 1,400
    • d)Rs. 1,575
11. Q11.Numeracy

    A number is divided by 84 and leaves remainder 37. If this number is divided by 12, then the remainder will be

    • a)0
    • b)3
    • c)1
    • d)2
12. Q12.Mathematics (Geometry)

    In the following figure if AB || CD. Find the value of x°.

    • a)60°
    • b)100°
    • c)80°
    • d)50°
13. Q13.Mathematics (Arithmetic)

    A retailer buys a radio for Rs. 225. His overhead expenses are Rs. 15. He sells the radio for Rs. 300. The profit percent of the retailer is

    • a)10%
    • b)52%
    • c)25%
    • d)50%
14. Q14.Reasoning (Number Series)

    Find the missing number (?) from the following figure. 12 12 18 16 12 20 5 12 ? 197 156 366

    • a)-6
    • b)-8
    • c)6
    • d)8
15. Q15.Mathematics (Clocks)

    At what angle the hands of a clock are inclined when it is half past 8?

    • a)70°
    • b)60°
    • c)80°
    • d)75°
16. Q16.Numeracy

    Which number will come in the place of question mark? 143, 275, 495, ?

    • a)(a) 243
    • b)(b) 683
    • c)(c) 561
    • d)(d) 927
17. Q17.Numeracy

    Walking at the rate of 4 km/h a man covers a certain distance in 2 hours 45 min. Running at a speed of 16.5 km/h, the man will cover the same distance in

    • a)(a) 40 min.
    • b)(b) 55 min. 15.sec.
    • c)(c) 45 min
    • d)(d) 50 min. 15 sec.
18. Q18.Numeracy

    Find the next term of the series: 0, 4, 18, 48, 100, ...

    • a)(a) 120
    • b)(b) 180
    • c)(c) 160
    • d)(d) 170
19. Q19.Numeracy

    If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

    • a)(a) 7 unit
    • b)(b) 2 unit
    • c)(c) 4 unit
    • d)(d) π unit
20. Q20.Numeracy

    The least perfect square which is divisible by 3, 4, 5, 6, 8 is

    • a)(a) 900
    • b)(b) 3600
    • c)(c) 1200
    • d)(d) 2500
21. Q21.Numeracy

    The ratio of the angles ∠A and angle ∠B of a non-square rhombus ABCD is 4 : 5, the value of ∠C will be

    • a)(a) 50°
    • b)(b) 95°
    • c)(c) 45°
    • d)(d) 80°