UGC NET Paper 1 — Math Reasoning

The owner of a mobile phone charges his costumer 25% more than the cost price. If a customer paid 8,000/- for a mobile phone, then what was the cost price of the mobile?

The rates of simple interests in two banks A and B are in the ratio 5: 4. A person wants to deposit his total savings in two banks in such a way that he receives equal half yearly...

The average monthly expenditure of a family was Rs. 4,000/- for the first 3 months; Rs. 4,500/- for the next 4 months and Rs. 5,000/- for the last 5 months of a year. If the total...

Consider following statements: A. If a pipe can fill a tank in x hours. the part filled in 1 hour is $\frac{1}{1+X}$ B. If a pipe can empty a full tank in y hours, the part emptied...

Sagun purchased a smartphone at $\frac{9}{10}$ th of its selling price and sold it at 8% more than its selling price. Her gain is

A milkman has been mixing water with milk to earn 25 per cent profit by selling the mixture at the cost price. The ratio of water and milk. respectively, is?

A sum of money on simple interest doubles itself in 10 years. It will triple itself in

A, B and C share a certain sum of money among themselves. A gets 35%, B gets ₹1500 and C gets 1/20. How much is the original sum of money?

Three glasses are filled with a mixture of milk and water in the ratio 4: 3,5: 4 and 7: 6 respectively. If the contents of three glasses are poured into a single vessel. then the r...

A mixture contains water and milk in the ratio 1: 5. On adding 5 litres of water, the ratio of milk to water becomes 5: 2. The quantity of milk in the original mixture is:

Given below are two statements Statement I: The product of all the digits on the dial of a telephone is 15840. Statement II: At 10% interest rate, Rs 10000 will become Rs. 13310 in...

A 108 meter long train moving at a speed of 50 km/hr crosses a 112 meters long train coming from the opposite direction in 6 seconds. The speed of the second train is:

X has one and a quarter times as many as Y, and Z has one and a quarter times as many as X. Altogether, they have 6(A) How many do Z, Y and X have, respectively?

X is as much younger to Y as he is older to Z. If the sum of the ages of Y and Z is 36 years. What is the age of X?

The difference of ages of a mother and daughter is 21 and the product of their ages is equal to 7(B) find the daughter's age?

How old is Ravi if in 8 years time he will be twice as old as he was twenty years ago?

Given below are two statements Statement I: ₹10000 will become ₹ 13310 at 20% per annum, compounded half-yearly in 1.5 years. Statement II: A 800m long train is running at the spee...

How tall is a tree that is 6 meters shorter than a wall that is seven times higher than the tree?

Find the average of all prime numbers between 70 to 90

Consider the following fractions: A. $\frac{8}{9}$ B. $\frac{9}{11}$ C. $\frac{2}{3}$ D. $\frac{7}{9}$

If a sum of money at simple interest doubles in 6 years, it will become 4 times in

Two persons are walking in the same direction at rates 3 km/hr and 6 km/hr. A train comes running from behind and passes them in 9 and 10 seconds respectively. The speed of the tra...

If a 30 meter ladder is placed against a 15 metre wall such that it just reaches the top of the wall, the angle of elevation of the wall is:

The population of a bacteria culture increases at a rate of 4% per annum. There is an additional increase of 1% of the population due to some reason. The percentage increase in the...

If the selling price of ₹ 24 results in a discount of 20% on the list price, what selling price would result in a 30% discount on list price?

A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 10 pm, at what time was it one-eighth full?

By selling 33 litres of milk, one gains the selling price of 11 litres. Find the gain in percentage :

Two trains are moving in same direction at 60 km/hr and 45 km/hr. The faster train passes a girl sitting in the slower train in 15 seconds. The length of the faster train is

Given the relationship between variables Y and X: Y = X^2; if X changes by 6%. What is the percentage change in Y?

A tank is normally filled in 6 hours but it takes 4 hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in

If the difference between compound interest and simple interest on some principal amount at 20% for 3 years is Rs 64, then the principal amount is -

The difference between the simple interest received from two different sources on Rs. 1.500 for three years is Rs. 13.50. The difference between their rates of interest is

A man travels in a car from point A to point B and covers a distance of 120 km. During the first 40 km, the speed of his car is 50 km/hr and for the rest of journey the speed of hi...

Average of ten positive numbers is X. If each number is increased by 10%, then new average increases by:

Six years ago, the ratio of the ages of Ravi and Laxmi was 6:5. Four years hence, the ratio will be 11:10. Ravi's age at present is

Given below are two statements: Statement I: A number is divisible by 12 if the number is divisible by both 3 and 4. Statement II: A number is divisible by 3, if and only if the su...

If the cost price is 95% of the selling price, then what is the profit in percentage?

Given below are two statements Statement I: If two numbers divided by a third number give the same remainder, their difference is exactly divisible by that number. Statement II: Le...

The profit earned by selling a chair for Rs. 752 is 1.2 times the loss incurred when the same chair was sold for Rs. 400. What is the cost price of the chair?

Given below are two statements Statement I: The number 89325324 is divisible by 66. Statement II: The set of natural numbers is also called the set of whole numbers. In light of th...

Given below are two statements Statement I: If the interest on a sum borrowed for a certain period is reckoned uniformly, then it is called compound interest Statement II: The mone...

Match List I with List II List I A. The sum of first forty-five natural number is B. The least prime number is C. The total number of prime numbers less than 70 is D. On dividing 4...

Which of the following statements are correct? A. If the cost price of an item is Rs.56 and the gain percentage is 20%, the selling price of the item is Rs.76.2. B. If the cost pri...

Which of the following statement/s is/are correct? A. Yaman crosses a 600m long road in 5 minutes. His speed is 7.2 km/hr B. Vinod performs 2/15 of his total journey by train; 9/20...

Which of the following statements are true? A. If A's salary is 20% more than B, then B's salary is 20% less than A. B. By selling 28 pens, a man gains the selling price of 4 pens....

Consider following statement: A. The average of all prime numbers between 30 and 50 is 37.8. B. 16% of X is 40. The value of X is 240. C. The unit's digit in the product (255 x 27...

If someone sells an item at a cost of Rs. 1,200/- with a loss of 25%, at what cost she/he should have sold it to get a profit of 30%?

Given below are two statements Statement I: The average of first twenty multiples of 9 is 92.5. Statement II: The average of first ten multiples of 11 is 60.5. In light of the abov...

Which of the following statements are correct? A. A bullet covers 55 meters in 2 seconds. Its speed is 99 km/hr B. A can complete a work in 10 days. In 5 days, he can complete $\fr...

Consider the following statements: A. A single discount equivalent to three successive discounts of 10%, 20% and 25% is 46%. B. A mobile is sold for Rs. 14500 at a loss of 20%. The...