UGC NET Paper 1 — Math Reasoning

A certain principal is invested at the annual rate of interest of 5% for 2 years. The difference between compound interest and simple interest is Rs.1. What is the principal?

Average of three numbers is 22. Sum of two of the numbers is 24 and these two numbers are in the ratio 7:5. Find the three numbers.

If 20% of (a+b) = 50% of (ab) and 40% of (a-b) = 70% of ab, then what fraction of a is b?

A sum of money with compound interest becomes Rs. 400 in 2 years and Rs.500 in 3 years. Find the sum.

The Least Common Multiple (LCM) of two numbers is 144 and their Greatest Common Divisor (GCD) is 2. What are the number, given their sum is 34?

Twenty times a positive integer is less than its square by 96. What is the integer?

What is the actual (equivalent) discount of three successive discounts of 8%, 10% and 12% by sale of an article?

A train is travelling at a speed of 96 kilometres per hour. It takes 3 seconds to enter a tunnel and 30 seconds more to pass through it completely. Which of the following statement...

Match the following. List-I (Numbers) (a) 41209 (b) 841 (c) 81 (d) 53824 List-II (Square roots) (i) 9 (ii) 29 (iii) 232 (iv) 203 Codes (a) (b) (c) (d)

The product of the ages of Sagun and Srishti is 240. If twice the age of Srishti is more than Sagun's age by 4 years, then what is Srishti's age?

The difference of the square of two consecutive even numbers is 84. What is the sum of these two consecutive even numbers?

What part of $\frac{1}{12}$ is $\frac{3}{8}$?

A man covers a distance of 22 km in 4 hours by initially walking and then jogging at speed of 4 km/hour and 10 km/hour, respectively. The distance covered by him during walking is:

Given below are two Statements: Statement I: If the ratio of the speeds of A and B is a:b, then the ratio of the times taken by them to cover the same distance is b:a. Statement II...

Given three numbers, first is twice the second and is half of the third. If the average of three numbers is 56, then the difference of first and third number is

A pipe normally fills a tank in 12 hours, but, due to a leak, it takes 8 hours more. If the tank is full, how many hours will the leak take to empty it?

The salary of Hamid was reduced by 10%. By what per cent should be raised to bring it back to his original salary?

Three persons are walking around a ground. They take 20, 30 and 40 minutes to complete one round. If they start from a single point together, they will meet again at that point aft...

Match the following. List-I (Types of numbers) (a) Natural numbers (b) Whole numbers (c) Integers (d) Prime Numbers List-II (Examples) (i) (-2, -1, 0, 1, 2) (ii) (1, 2, 3, 4) (iii)...

Kavitha collected 8 spiders (with 8 legs each) and beetles (with 6 legs each). When she counted the legs she found they were altogether 54. Which of the following is/are true? A. S...

The Volume of a cube of side 10.0 cm is changed by increasing its side by 1% the percentage increase in the volume of the cube is

What is the remainder when 4^5 is divided by 15?

A rational number has its denominator greater than its numerator by 6. If the numerator is [truncated]

What is the remainder when 64 divides 1671?

Consider the following three expressions: (i) 35 +0.07 (ii) 2.5 0.0005 (iii) 136.09 43.9

The ratio of ages of 2 persons A and B is 3:4 and that of ages of B and C is 4:5. If the average of all three is 40 years, what is B's age?

Consider the following fractions a. $\frac{6}{11}$ b. $\frac{4}{9}$ c. $\frac{3}{8}$ d. $\frac{2}{5}$ e. $\frac{5}{13}$ For the above fractions, which one of the following is in th...

The difference between the ages of two men is 10 years. 15 years ago, the elder one was twice as old as the younger one, The present age of the elder man is

If \( \sqrt{(4)^n} = 256 \). then \( \sqrt{n} \) is equal to:

The sum of four consecutive odd integers is 2160. The greatest of them is

Which of the following numbers are non-prime? (i) 11 (ii) 13 (iii) 19 (iv) 21 (v) 15 Choose the correct answer from the options given below:

A man in a train notices that he can count 31 telephone poles in one minute. If the poles are at equal intervals of 50m, what is the speed of the train?

Given below are two statements: Statement I: Two triangles are said to be congruent if their corresponding angles are equal and corresponding sides are proportional.

Complete the series: 2, 5, 9, 19, 37, ....

A trader marks up the price of goods he sells by 50% and gives a discount of 20%. Besides this, he also weighs the goods by 20% less. What is the net profit he gets?

Given below are two statements Statement I: Sum of the angles of a triangle is 180° Statement II: The sum of any two sides of a triangle is greater than the third side In light of...

Given below are two statements Statement I: Compound interest involves the reinvestment of the earned interest, which in future years also earns interest. Statement II: Simple inte...

Given below are 2 statements: Statement I: Sometimes Ratio has units. Statement II: When two ratios are equal, a proportion is formed. In the light of the above statements. choose...

Given below are two statements: Statement I: A number is divisible by 3, if the sum of its digits is divisible by 3. Statement II: A number is divisible by 9, if the sum of its dig...

A household incurs a certain expenditure on the consumption of a commodity in a given month. If the price of a commodity is decreased by 20% and its consumption is increased by 20%...

A sum of Rs. 50,000 is invested in a bank deposit for 1 year at an interest rate of 10% per annum, compounded on a half-yearly basis. What is the amount of interest at the end of 1...

A two digit number is 4 times the sum of its two digits. The number that is formed by reversing its digits is 27 more than its original number. What is the number?

In a 100 metres race, A beat B by 10 meter or 2 seconds. What is the speed of A?

The sum of the squares of three numbers is 83, while sum of their products taken two at a time is 71. Their sum will be

A man reaches his office 30 minutes late if he walks by 2/3rd of his routine speed. What is the time he usually takes to reach office?

Kavita sold a mobile phone at the price of Rs. 1950 and made a loss of 25%. At what price will she have to sell it to get a profit of 30%?

Three pipes fill a tank in 4 hours. If two of them take 8 and 12 hours each to fill the tank, how many hours will the third pipe take to fill the tank?

A shopkeeper sells an item at a discount of 40% on the item's listed price of Rs. 1500.00. He still makes a profit of 20% of the original cost of the item. What is the original cos...

The average of seven consecutive numbers is 33. The largest of these numbers is:

Given below are 2 statements: Statement I: Co-primes are the numbers which have only 1 as their common factor. Statement II: Factorization is the decomposition of a number into the...