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Mathematics Questions

Practice 51 Mathematics questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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51
Total Questions
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15
Easy
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32
Medium
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4
Hard

About Mathematics — practice questions, PYQs & concepts

Mathematics is a frequently-tested topic on Mathematics and Science, Numerical Ability, Quantitative Aptitude. ExamTest.live currently lists 51 Mathematics questions spanning previous-year papers from 2017 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Mathematics weight in competitive exams

Across our Mathematics question bank, the largest sources are Mathematics and Science (30), Numerical Ability (12), Quantitative Aptitude (8) and Child Development and Pedagogy (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 15 easy Mathematics questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Mathematics Questions(151 of 51)

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Q1mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
Find the least number of square tiles required to pave the floor of a room long and broad.
Q2mediummcqNumerical AbilityUP Police Constable2026
Solve the following equation:
Q3mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
In a pair of adjacent angles: (i) Vertex is always common, (ii) one arm is always common and (iii) uncommon arms are always opposite rays. Then
Q4mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
If the area of an equilateral triangle is and its height is , then is
Q5easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
There are persons in a party. If each one of them shakes hands with others exactly once, the total number of handshakes is
Q6mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
A horse is tethered to a stake by a rope long. If the horse moves along the circumference of a circle keeping the rope tight, find how far the horse has gone from the initial point if the rope has traced an angle of at the centre?
Q7mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
A man and his wife appear for an interview for two posts. The probability of the husband’s selection is and that of the wife’s selection is . What is the probability that only one of them will be selected?
Q8easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
Find the value of
Q9hardmcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The expression is equal to
Q10mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
A man buys two books for a total of Rs. and sells both at the exact same price. One gives him a profit of and another a loss of . The cost price of both books is
Q11mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
Which of the following statements is true ?
Q12easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
Out of observations arranged in ascending order, the sixth and seventh observations are and respectively. Find the median of all the observations.
Q13easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The graphs of the lines and are
Q14mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
A motor boat whose speed is in still water goes upstream and comes back to the starting point in . Find the speed of the stream.
Q15easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The sum of two natural numbers is . Determine the numbers if the sum of their reciprocals is .
Q16easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The ratio of two numbers is and their HCF is . Their LCM is
Q17mediummcqQuantitative AptitudeCompetitive Exams2026
If , then what will be the value of ?
Q18mediummcqQuantitative AptitudeCompetitive Exams2026
Arun bought a cycle for and then sold it for . What is his profit percentage?
Q19mediummcqQuantitative AptitudeCompetitive Exams2026
In an office, of the staff is female. of the female staff and of the male staff are married. The percentage of the unmarried staff in the office is:
Q20mediummcqQuantitative AptitudeCompetitive Exams2026
Walking of her normal speed, Athira is late in reaching her office. What is the usual time taken by her to cover the distance between her home and office?
Q21hardmcqQuantitative AptitudeCompetitive Exams2026
The captain of a cricket team of members is old, and the wicket-keeper is four years older than the captain. If the ages of the captain and the wicket-keeper are excluded, the average age of the remaining players of the team is two years less than the average age of the whole team. What is the average age of the team?
Q22hardmcqQuantitative AptitudeCompetitive Exams2026
A lady said, "If you reverse my age digits, you'll get my husband's age. He is older, and the difference between their ages is one-eleventh of their sum." What is the man's age?
Q23easymcqQuantitative AptitudeCompetitive Exams2026
What is the probability of drawing an ace from a pack of 52 cards?
Q24mediummcqQuantitative AptitudeCompetitive Exams2026
If mangoes are sold for the cost price of mangoes, then the profit is:
Q25mediummcqNumerical AbilityUP Police Constable2026
The marked price of a toy was ₹ 1800. Two successive discounts of 20% and 15% were offered on it during a sale. What was the selling price of the toy?
Q26mediummcqNumerical AbilityUP Police Constable2026
What is the HCF of 150, 225 and 375?
Q27mediummcqNumerical AbilityUP Police Constable2026
If 164 is divided in the ratio 32 : 9, what is the value of the smaller part?
Q28mediummcqNumerical AbilityUP Police Constable2026
Torsha started a business with ₹ 2250 while Trisha invested ₹ 2880 after a few months. If the end-of-12-months (from Torsha's investment) profit is shared by Torsha and Trisha in the ratio 25: 24, for how many months did Trisha stay invested?
Q29mediummcqNumerical AbilityUP Police Constable2026
What is the largest four-digit number that is divisible by each of 15, 25 and 35?
Q30mediummcqNumerical AbilityUP Police Constable2026
Solve the following equation:
Q31mediummcqNumerical AbilityUP Police Constable2026
The difference between a gain of 15% and a loss of 9% is ₹ 768. What is the cost price of the item under consideration here?
Q32mediummcqNumerical AbilityUP Police Constable2026
What is the sum of and ?
Q33mediummcqNumerical AbilityUP Police Constable2026
Which of the numbers given below is exactly divisible by 24?
Q34mediummcqNumerical AbilityUP Police Constable2026
In an entrance test one requires 522 marks out of a maximum of 600 to qualify. What is the cut-off in percentage terms?
Q35mediummcqNumerical AbilityUP Police Constable2026
What will be the interest earned on ₹ 1980 in five years @ 8% simple interest per annum?
Q36mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
A rectangular piece of paper is folded without overlapping to make a cylinder of height , then the volume of the cylinder will be
Q37easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The value of is
Q38easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The price of Petrol increased by . In order that expenses on petrol should not increase, one must reduce travel by
Q39mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The diagonals and of a parallelogram intersect each other at the point . If and , then is equal to
Q40easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters and . The radius of the new park would be
Q41mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
An edge of a cube measures . If the largest possible right circular cone is cut out of this cube, then the volume of the cone (in ) is
Q42mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
If is divided by , the remainder is
Q43mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
If , then the value of is
Q44easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
Factors of are
Q45mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
Two adjacent sides of a parallelogram are and . If one of its diagonals is , then the area of the parallelogram is
Q46easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
If each exterior angle of a regular polygon is , then the number of sides of the polygon is
Q47easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
The distance of the point from the y-axis is
Q48hardmcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
A solid cylinder has a total surface area of . If its curved surface area is one-third of its total surface area, then the volume of the cylinder will be
Q49mediummcqChild Development and PedagogyUPTET Paper 2 (Maths & Science)2017
The science which deals with the methods of collecting, classifying, presenting, comparing and interpreting numerical data is called
Q50easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
The decimal equivalent of the binary number (1101)
2

is
Q51easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
The decimal equivalent of the binary number is

Frequently Asked Questions

How many Mathematics questions are on ExamTest.live?
We have 51 Mathematics questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Mathematics MCQs free?
Yes. All Mathematics questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Mathematics questions?
Mathematics questions are commonly asked in Mathematics and Science, Numerical Ability, Quantitative Aptitude, Child Development and Pedagogy. You can filter by exam using the links above.
How do I practice Mathematics questions effectively?
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.