UP PET Maths Questions in English

Important Maths (Elementary Arithmetic) Questions Answers with Solution for UPSSSC UP PET Exam 2025 – 2026. Practice set of Mathematics Objective MCQs for preparation of Uttar Pradesh Preliminary Entrance Test.

Elementary Arithmetic for UP PET: (05 Marks)

Whole numbers, fractions and decimals

Questions 1: A number 2X16 is divided by the smallest number divisible by 4 and 9. The resulting number is the square of 9. Find the value of X.

A) 5
B) 3
C) 7
D) 9

Question 2: Find the difference between the digits of the largest number which can exactly divide 144 and 216?

A) 3
B) 5
C) 2
D) 4

Question 3: What is the smallest positive number which when subtracted from 12 and 21 gives their third ratio as 36?

A) 5
B) 4
C) 3
D) 2

Question 4: If a number is as much greater than 31 as it is less than 75, then what will that number be?

A)160
B) 44
C) 74
D) 53

Question 5: What is the smallest number that must be added to 2055 so that the sum is exactly divisible by 27?

A) 28
B) 24
C) 27
D) 31

Average : UP PET Maths Questions

Question 1: A car travels the first 140 km in 3 hours and the next 180 km in 5 hours. What is its average speed (in km/h) during the entire journey

A) 50
B) 45
C) 30
D) 40

Question 2: The average weight of eight people is 40 kg. If one person is removed, the average weight becomes 38 kg. What is the weight of the removed person?

A. 33.25 kg
B. 78 kg
C. 38 kg
D. 54 kg

Question 3: Find the average of 512, 620, 428, and 580?

A. 560
B. 480
C. 535
D. 495

Question 4 : The average of 3, 5, 10, and x is 5. The average of 8, 12, 15, x and y is 9. The values of x and y are _______________________________ respectively.

A. 3 and 9
B. 2 and 3
C. 3 and 8
D. 2 and 8

Question 5: The average of 11 results is 50. If the average of the first six results is 51 and the average of the last six is 59, then find the sixth result.

A. 66
B. 86
C. 110
D. 107

Simple Arithmetic Equations

Question 1: If $\frac58$ of $184\times 15 \div 5 + K = 513 \div 9 + 435$ , then find the value of K.

A.136
B.192
C.239
D.147

प्रश्न 2 :Simplify the following?
30 % of [ { (820% of 40) – 28 } ] % of 600

A. 200
B. 540
C. 500
D. 250

प्रश्न 3 : Simplify the following expression:
$25 - (4 \div 2) + 11.5 + 9.5$

A. 47
B. 45
C. 44
D. 46

Question 4 : Find the value of $3\times 7 + 5 - 6 \div 3 - 9 + 45 \div 5 \times 4 - 45$ .

A. 36
B. 9
c. 6
D. 7

Question 5 : What is the value of 12 % of 4 % of 7 % of $2\times{10}^6$ ?

A.121
B.583
C.672
D.386

Percentage : UP PET Maths Questions

Question 1: The marked price of an item is Rs 1600 but Rohan gets a discount of 20 percent. He sells the item for Rs 1600. What is Rohan’s profit percentage?

A. 25 percentage
B.22 percentage
C.20 percentage
D.18 percentage

Question 2: Out of a stock of grain, $\frac18$ part is rotten. What percent of the grain in that stock is not rotten?

A. 87.5%
B. 75%
C. 77.5%
D. 90%

Question 3: A city had a population of 82,000 at the beginning of 2019. Its population is increasing at the rate of 2% annually. What is its population (rounded off to the nearest integer) at the beginning of 2022?

A. 88000
B. 86789
C. 87019
D. 85000

Question 4: The price of a painting increased from Rs 140000 to Rs 182000. What is the percentage increase in the price of the painting?

A. 50 Percent
B. 10 Percent
C. 30 Percent
D. 40 Percent

Question 5: If the price of tea is increased by 20%, then by what percentage should the consumption of tea be reduced so that the expenditure on tea does not increase?

A. $16{\frac23}$ %
B $33{\frac13}$ %
C. 25 %
D. 20 %

Square and square root : UP PET Maths Questions

Question 1 : If x, y are rational numbers and $\frac{5 + \sqrt{11}}{3-2\sqrt{11}} = x + y \sqrt{11}$ . The values of x and y are

A. $x =\frac{-14}{17}$ , $y = \frac{-13}{26}$
B. $x =\frac{4}{13}$ , $y = \frac{11}{17}$
C. $x =\frac{-27}{25}$ , $y = \frac{-11}{37}$
D. $x =\frac{-37}{35}$ , $y = \frac{-13}{35}$