UGC NET Paper 1 — Math Reasoning

If 3% of (a + b) = 7% of (ab) and 5% of (a - b) = 4% of (ab), then what percentage of b is a?

A sum of money with compound interest becomes Rs. 2,400 in one year and Rs. 3,000 in two years. Find out the principal amount.

A certain principal invested at compound interest payable yearly amount to Rs. 10816.00 in 3 years and Rs. 11248.64 in 4 years. What is the rate of interest?

The length of the side of a square (5.0 cm x 5.0 cm) is increased by 1%. By what percentage (%) the area of the square increases?

Two numbers are in the ratio 3:7. If 8 is added to both the numbers, their ratio becomes 5:9. The numbers are

A student obtains overall 78% marks in his examination consisting of Physics, Chemistry, Mathematics, Computer Science and General English. Marks obtained in each subject and the m...

A person buys 3 items of Rs.1500 each and 2 items of Rs. 1800 each from a shopping mall. On the total bill a discount of 10% is given. What is the average cost of the items?

In what ratio must a vendor mix two varieties of sugar worth Rs.60 per Kg and Rs.78 per Kg so that by selling the mixture at Rs.76.8 per Kg, the vendor gains 20%?

A circle has the same area as that of a square of diagonal of length 11.0 cm. What is the diameter of the circle?

The sum of a number and inverse is -4. The sum of their cubes is:

A solid is in form of a cylinder with hemispherical ends. The diameter of the cylinder is 1/3 of its height (excluding the hemispherical ends). The total length of the solid includ...

If x: y = 7:9 then 3x-5y: 4x+y =?

If 'a' is inversely proportional to 'b' and 'b' inversely proportional to 'c', then

Identify the term 'X' in the following series 4, 12, 42, 168, X

The smallest integer greater than 1 which is simultaneously a square and a cube of certain integers is

On a map, 1 inch represents 250 miles. What is the actual distance between two cities if they are 12 inches apart on the map?

If x and y are two positive numbers and x is 25% greater than y, what is the value of the ratio y/x?

The sum of all even natural numbers between 1 and 81 is:

In a class, 20% of the boys have blue eyes and 10% of the girls have blue eyes. If the ratio of boys to girls in the class is 4:3, then what is the portion of the students in the c...

The two cities P and Q are 360 km apart from each other. A car goes from P to Q with a speed of 40km/hr and returns to P with a speed of 60km/hr. What is the average speed of the c...

If the number 345xy is divisible by 90, then (x + y)?

A sum of Rs. 2000 yields Rs. 180 with simple interest in nine 9 months. The annual rate of interest is

During one year, the population of a town increased by 5% and during the next year, the population decreased by 5%. If the total population is 29925 at the end of the second year,...

A group of 40 employees of Cadre A has a mean age of 31. A different group of 60 employees of Cadre B has a mean age of 28. What is the mean age of two employees of the two groups...

A person incurs 10% loss by selling a watch for Rs. 1,800. At what price should the watch be sold to earn 10% profit?

An aeroplane flies along the four sides of a square field at the speed of 400, 600, 800 and 200 km/hr. Find the average speed of the plane around the field.

The average of 35 raw scores is 18. The average of first seventeen of them is 14 and that of last seventeen is 20. Find the eighteenth raw score.

What is the exact equivalent discount of three successive discounts of 10%, 15% and 20% by sale of an article?

The average age of a class of 59 students is 18 years. If the age of the teacher is included, then the average increases by 3 months. The age of the teacher is:

A train leave Agra at 5 a.m. and reaches at Delhi at 9 a.m. Another train leave Delhi at 7 a.m. and reaches Agra at 10:30 am. At what time do the two trains cross each other?

Which of the following fractions is the result of the sum of an integer and its reciprocal?

The number X in the following series: 3, 8, 18, 38, X, ... is

The simple interest on a certain sum of money at the rate of 5% p.a. for four years is Rs. 420. At what rate of interest, the same amount of interest can be received on the same su...

A sum of money doubles at compound interest in 6 years. In how many years will it become 16 times?

A 50 year old man has a son whose age is 2/5 of his age. After how many years, the ratio of the age of the man to his son will be 5/3?

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 9 years and that for 12 years?

Rohan gave three-fifth of the amount he had, to Sahil. Rohan now has 2000 rupees. How much did he give to Sahil?

40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 39,000. The annual income of each executive is Rs...

By selling 70 pencils for RS.90/ a person makes a loss of 25%. How many pencils should be sold for Rs.234 to have a profit of 30%?

The price of item A increases by 50 paise every year while the price of item B increases by 25 paise every year. If in 2008, the price of item A was Rs. 3.20 and that of B was Rs....

Sameer walks a certain distance and rides back taking a total time of 40 minutes. He could walk both ways in 60 minutes. How long would it take for him to ride both ways?

In a bag, there are coins of 5ps, 10ps and 25ps in the ratio of 3:2:1. If there are Rs. 60 in all, how many 5ps coins are there?

If 60% of (a - b) = 40% of (a + b), then what percent of a is b?

A shopkeeper sells a refrigerators for Rs 22,000 and makes a profit of 10%. If he desires to make a profit of 18%, what should be his selling price?

A trader mixes three varieties of refined oil costing Rs. 100, Rs. 40 and Rs. 60 per litre in the ratio 2:4:3 in terms of litre, and sells the mixture at Rs. 66 per litre. What per...

At what percentage above the Cost Price must an article be marked so as to gain 8% after allowing a customer a discount of 10%?

In a new budget, the price of petrol rose by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase?

The compound interest on a certain sum of money for 3years at the rate of 10% per annum is RS. 993,00. The simple interest on the same sum at the rate of 8% per annum for 4 years w...

If the simple interest on a certain sum for 1 year 3 months at 8½ % per annum exceeds the simple interest on the same sum for 8 months at 7½ % per annum by Rs. 45, then the sum is:

The product of two numbers a and b is twice the sum of the reciprocals of a and b? What is the sum of the reciprocals of a and b?