UGC NET Paper 1 — Math Reasoning

A man reaches his destination 40 minutes late if his speed is 3 km/hr, and reaches 30 minutes before time, if his speed is 4 km/hr. Find the distance of his destination from his st...

Three numbers are in the ratio of 2:5:6 and their sum is 663. Find the three numbers:

In a test consisting of 150 questions carrying 1 mark each, Rishab answered 80% of the first 75 questions correctly. What percent of the other 75 questions does he need to answer c...

If A is 20% of C and B is 25% of C, then what percent is A of B?

Find the number that must be added to the terms of the ratio 13:25 to make it equal to 7:10.

400 students took a mock test; 60% of the boys and 80% of the girls cleared the cut off in the test. If the total percentage of students clearing the cut off in the test is 65%, th...

Find the average of the squares of the consecutive odd numbers from 1 to 21.

Kavita's age is eight years more than thrice the sum of the ages of her two grandsons who are twins. Nine years later, Kavita's age will be one year more than two times the sum of...

Two numbers are given in the ratio 6:7. If 12 is added to each number, their ratio becomes 7:8. Find the two numbers?

If $\frac{1}{3.718} = 0.2689$, then find the value of $\frac{1}{0.0003718}$

In the number 455 is divided in the ratio of 4:3, then the two parts of 455 shall be respectively?

The average of prime numbers between 1 and 20 is:

The simple interest on a sum of money is 1/9 of the principal and the number of years is equal to the rate percent per annum. The rate percent per annum is:

1 और 20 के बीच अभाज्य संख्याओं का औसत क्या होगा ?

Two numbers are in the ratio of 6:7. If 12 is added to each of the numbers, their ratio becomes 7:8. Find the two numbers.

There are 15 students in a class. The average age of the students and the teacher of the class is 15 years. The average age of the teacher and the students is 2 years more than tha...

Two numbers are in the ratio of 7:8. If the difference between the numbers is 30, then find the numbers.

कविता की उम्र उसके दो जुड़वां पोतों की उम्र के योग के तीन गुने से आठ वर्ष अधिक हैं। नौ वर्ष बाद, कविता की उम्र उसके पोतों की उम्र के योग के दुगुने से एक वर्ष अधिक है। कविता की उस स...

Three numbers are in the ratio of 3:5:7 and the sum of these numbers is 975. Find the three numbers

What is the average of all the prime numbers between 30 and 50?

Two Shopkeepers 'A' and 'B' sell certain kind of machines at the same list price. However, shopkeeper 'A' allows two successive discounts of 20% and 15% and shopkeeper 'B' allows t...

If the selling price of 10 articles is equal to the cost price of 15 articles, what is the profit percentage?

The average weight of 25 students of section A of a class is 60 kg, whereas the average weight of 35 students of section B of the same class is 62.5 kg. Find out the average weight...

Eighteen years ago, a man was three times as old as his son. Now, the man is twice as old as his son. The sum of the present ages of the man and his son is

Of the three numbers, the second is twice the first and is also thrice the third. If the average of the three numbers is 44, what is the largest number?

A sum of Rs. 16800 is divided into two parts. One part is lent at a simple rate of interest of 6% per annum and the other part at 8% per annum. After 2 years the total sum received...

The population of a bacteria culture doubles every 2 minutes. How many minutes will it take for the population to grow from 1 to 1024?

Given below are two statements: Statement I: If you know the length of any one side of a right angled triangle, the area of the triangle can be found. Statement II: If you know the...

Given below are two statements: Statement (I): One-fourth of sixty percent of a number is equal to two-fifth of twenty percent of another number. Then the respective ratio of the f...

Simple interest earned on a certain sum is 16/25 of the principal. If the numerical value of the annual rate of interest and time (in years) are equal, then what is the annual rate...

A certain sum of money on a certain annual rate of interest becomes ₹1008 in 2 years and ₹1164 in 3½ years. Find the sum and the annual rate of interest.

A sum of ₹ 53 is divided among A, B and C in such a way that A gets ₹ 7 more than what B gets and B gets ₹ 8 more than what C gets. The ratio of their shares is:

Given below are two statements: Statement I: A fraction can be reduced to its lowest form by dividing the numerator and denominator with a common factor. Statement II: Two fraction...

A person invested 1/3 of his capital at 7%; 1/4 of his capital at 8% and the remainder at 10%. If his total annual income from the investment is 561, then what is the total investm...

The average of 5 Consecutive numbers A. B. C, D and E is 12. What is the product of A and D?

A man has to cover a total distance of 24 km. He observed that after walking for one hour and 40 minutes, the distance covered by him is 5/7 of the remaining distance. What was the...

At what percent of compound interest per annum, a sum of money will double in 14 years?

The average weight of 15 men is decreased by 2 kg when one of them whose weight is 70 kg is replaced by a new man. What is the weight of the new man?

Two numbers are, respectively, 28% and 25% less than a third number. What percent is the first number of the second number?

Simple interest accrued on a certain sum is 16/25 of the principal sum. If the numerical value of the rate of annual interest (%) and time (years) are equal, what is annual rate of...

Two boys A and B start at the same time to ride from Delhi to Meerut, 60 km away. A travels 4 km an hour slower than B. When B reaches Meerut, he immediately turns back, meeting A,...

Consider the following statements: (A) A train travelling 180 km/hr took 5.4 seconds to cross a stationary man. Length of the train is 250 m. (B) If a bus covers 172 km in 4 hours,...

A dealer sold three-fourth (3/4th) of his articles at a gain of 20% and the remaining articles at the cost price. Find the gain earned by him in the whole transaction.

The average weight of 30 persons increases by 2 kg when one of them, whose weight is 40 kg, is replaced by another person. What is the weight of the new person?

A man who can swim 48 meter/minute in still water swims 200 meter against the current and 200 meter with the current. If the difference between these two times is 10 minutes, then...

By how much above the cost should the goods be marked for sale, so that after allowing a trade discount of 20% and a cash discount of $6\frac{1}{4}\%$, a net gain of 20% on the cos...

A person sold a music system to another person at 20% gain and the second person sold it to third person at 40% gain. If the third person paid ₹ 10,500 for the music system, what a...

Simple interest on a certain sum of money at the rate of 5% per annum for 4 years is Rs. 800. What will be the compound interest on the same sum for the same period and at the same...

The average weight of 30 persons is increased by 2 kg, when one of them whose weight is 40 kg. is replaced by a new person. What is the weight of the new person?

The least number of five digits which is exactly divisible by 12. 15 and 18 is: