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UPPSC 2024 — Mathematics Questions with Answers
All 21 Mathematics previous-year questions from UPPSC 2024, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.
Practice Mathematics as a timed test →- Q1.Mathematics
In a circle, if radius is doubled, what happens to the area?
- a)It triples
- b)It remains the same
- c)It doubles
- d)It quadruples
- Q2.Mathematics
The value of which of the following will not change if a constant number is added to all the scores of a series?
- a)(a) Median
- b)(b) Standard deviation
- c)(c) Mean
- d)(d) Mode
- Q3.Mathematics
If the side lengths of a square are doubled, then how much area will be increased?
- a)(a) 3 times
- b)(b) 5 times
- c)(c) 2 times
- d)(d) 4 times
- Q4.Mathematics
₹196 is distributed in 300 children. If girls gain ₹1 and 50 paisa, then what is the number of boys?
- a)(a) 210
- b)(b) 214
- c)(c) 208
- d)(d) 212
- Q5.Mathematics
x - 4 and 2x - 1 are factors of which of the following polynomials?
- a)(a) 2x³ - 7x² + 5x - 4
- b)(b) 2x³ - 7x² - 5x + 4
- c)(c) 2x³ + 7x² + 5x + 4
- d)(d) 2x³ + 7x² - 5x + 4
- Q6.Mathematics
The factor of expression (x + y)³ + (x - y)³ is:
- a)(a) 3x (x² + 3y²)
- b)(b) 2x (x² + 3y²)
- c)(c) 3x (x² - 3y²)
- d)(d) 2x (x² - 3y²)
- Q7.Mathematics
The work capacity of A is three times more than that of B. Both of them together can complete a work in 15 days. In how many days will A alone complete that work?
- a)(a) 18.75
- b)(b) 20
- c)(c) 18
- d)(d) 21
- Q8.Mathematics
The cost price of 40 oranges is equal to the selling price of 30 oranges. Find the percentage profit.
- a)(a) 25%
- b)(b) 22%
- c)(c) 20%
- d)(d) 33.33%
- Q9.Mathematics
A man covers half of his journey at a speed of 6 km/hr and the remaining half at a speed of 3 km/hr. His average speed is:
- a)(a) 3 km/hr
- b)(b) 9 km/hr
- c)(c) 4.5 km/hr
- d)(d) 4 km/hr
- Q10.Mathematics
A number when divided by 53 gives 34 as quotient and 21 as remainder. Then the number is:
- a)(a) 1800
- b)(b) 1924
- c)(c) 1823
- d)(d) 1723
- Q11.Mathematics
The number of subsets of A = {0, 1, 2} will be:
- a)(a) 7
- b)(b) 8
- c)(c) 6
- d)(d) 9
- Q12.Mathematics
If the difference between compound interest and simple interest on a sum of money in 2 years at 10% annual interest rate is ₹12, then find the amount.
- a)(a) ₹1200
- b)(b) ₹2400
- c)(c) ₹240
- d)(d) ₹1000
- Q13.Mathematics
Surya sells 45 pens and suffers a loss equal to the selling price of five pens. What is his total loss percentage?
- a)(a) 11.11%
- b)(b) 10%
- c)(c) 9%
- d)(d) 12.5%
- Q14.Mathematics
The number of integers n satisfying – n + 2 ≥ 0 and 2n ≥ 4 is:
- a)(a) 1
- b)(b) 4
- c)(c) 0
- d)(d) 2
- Q15.Mathematics
3-digit largest prime number is:
- a)(a) 998
- b)(b) 996
- c)(c) 999
- d)(d) 997
- Q16.Mathematics
Let A = {a, b, c, e, f, g} B = {b, c, d, f, g, h} and C = {c, d, e, g, h, i}. The value of [{(A – B) – (A – C) – (C – B)}] is:
- a)(a) {b}
- b)(b) φ
- c)(c) {a}
- d)(d) {c}
- Q17.Mathematics
By dividing x³ – 6x2 + 2x – 4 by -3/2 x + 1, the remainder is:
- a)(a) -136/27
- b)(b) -136
- c)(c) 136/27
- d)(d) 136
- Q18.Mathematics
The value of x in the given figure is:
- a)(a) 120°
- b)(b) 100°
- c)(c) 130°
- d)(d) 110°
- Q19.Mathematics
If the median of the following data is 11, then find the value of K: 3, 21, 10, 7, 6, 9, (K + 6), 15, 20
- a)(a) 7
- b)(b) 5
- c)(c) 4
- d)(d) 6
- Q20.Mathematics
Among 200 persons, 90 people like tea while 108 people like coffee and 46 people like both tea and coffee. How many people like neither tea nor coffee?
- a)(a) 44
- b)(b) 46
- c)(c) 48
- d)(d) 62
- Q21.Mathematics
0.235̅ = ?
- a)(a) 233/990
- b)(b) 235/1000
- c)(c) 235/990
- d)(d) 237/990
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