UGC NET Paper 1 — Math Reasoning

A motor boat covers certain distance downstream in 5 h but takes 6 h to return upstream to the starting point. If the speed of the stream be 4 km/h, then what is the speed of the m...

Arrange the following fractions in increasing order. A. 6/11, 7/13 B. 11/17, 13/19 C. 16/19, 17/21 D. 19/22, 20/23 Choose the correct answer from the options given below:

Speed of a boat in still water is 5 km/hr and the speed of the stream is 1 km/hr. A man rows to a place at a distance of 24 km and comes back to the starting point. Find the total...

Match List - I with List - II. List - I Successive discounts A. 10% and 15% B. 20% and 30% C. 10% and 20% D. 10% and 25% List - II Equivalent discount I. 28% II. 32.5% III. 23.5% I...

Three years ago, the average age of a family of 5 members was 17 years. A baby was born, but the average age of the family is still the same today. The present age of the baby is:

Identify the correct mathematical statements: A. $\frac{1}{4} + \frac{1}{4 \times 5} + \frac{1}{4 \times 5 \times 6}$ is equal to $\frac{37}{120}$. B. $1+2+\left\{1+2+\left(1+\frac...

Arrange the following fractions in descending order: A. 9/11 B. 8/9 C. 4/7 D. 3/5 E. 8/15 Choose the correct answer from the options given below:

Arrange the following fractions in ascending order: A. 2/3 B. 7/19 C. 9/11 D. 8/9 E. 7/9 Choose the correct answer from the options given below :

Arrange the following fractions in ascending order: A. 7/16 B. 13/25 C. 2/3 D. 11/23 E. 5/19 Choose the correct answer from the options given below:

The average marks of a group of 30 students in a class reduces by 2 when a good student who scored 90 marks leaves the class and a new student joins the class. Find the marks of th...

Arrange the following fractions in ascending order: A. 5/8 B. 7/12 C. 13/16 D. 16/29 E. 3/4 Choose the correct answer from the options given below :

A man purchases a shirt and a trouser for ₹ 756. If the cost of trouser is 16% more than the cost of shirt, find the cost of shirt.

एक आयत की लम्बाई और चौड़ाई में क्रमशः + 20% और – 10% का बदलाव किया जाता है। ऐसा करने से, आयत के क्षेत्रफल में कितने प्रतिशत का बदलाव होगा ?

Choose the correct statements: A. If a shopkeeper incurs a loss of 20% by selling an item for ₹560, the cost price of the item is ₹750. B. 10% of 20% of 25% of 200 is equal to 1 (o...

सही गणितीय कथनों की पहचान कीजिए: A. एक बल्लेबाज अपनी 17वीं पारी में 87 रन बनाता है और इस प्रकार अपनी औसत रन संख्या में 3 की वृद्धि करता है। 17वीं पारी के बाद उसका औसत 36 है। B. 3/4...

Select the correct statements from the given options: A. If a shopkeeper sells an item for ₹560 and incurs a 20% loss, then the cost price of the item is ₹750. B. 10% of 20% of 25%...

The average age of a class of 34 students and a teacher reduces by 0.5 years, if the teacher is excluded. The initial average of the class including teacher is 16 years. Find the a...

Identify the correct mathematical statement(s): A. The expression $\frac{3}{4} + \frac{5}{36} + \frac{7}{144} + \dots + \frac{17}{5184} + \frac{19}{8100}$ is equal to 0.09. B. The...

One dozen pairs of gloves quoted at ₹ 120 are sold at a discount of 20%. Find how many pairs of gloves can be bought for ₹ 16 ?

Arrange the following in the increasing order of their percentage. A. 425 out of 500 B. 384 out of 540 C. 570 out of 700 D. 480 out of 660 Choose the correct answer from the option...

यदि धन की एक निश्चित राशि को दो वर्ष के लिए 12% प्रति वर्ष की दर से जमा करने पर साधारण ब्याज और चक्रवृद्धि ब्याज में ₹72 का अंतर हो, तो जमा की गई राशि या मूलधन का पता लगाइए।

Match List - I with List - II. List - I (Question) A. The average of first 50 natural numbers is : B. The average of all odd numbers upto 100 is: C. The mean of 1², 2², 3², 4², 5²,...

If the difference between Simple Interest and Compound Interest on a certain amount of money deposited at the rate 12% per annum for two years is ₹72, then find the amount of money...

What is the sum of the first 15 terms of the following series? 2², 3², 4², 5², ........

Two identical containers P and Q contain mixture of milk and water in the ratio 1:1 and 3:1, respectively. In what ratio should mixtures be taken out from P and Q so that milk to w...

Identify the correct mathematical statements: A. The expression $\frac{1}{5 \times 6} + \frac{1}{6 \times 7} + \frac{1}{7 \times 8} + \dots + \frac{1}{24 \times 25}$ is equal to $\...

Arrange the following in ascending order based on their values.

Match the LIST-I with LIST-II LIST-I (Question) A. What percent of a day is 3 hours? B. What is the average of first nine prime numbers? C. What is the average of first five multip...

Arrange the following fractions in decreasing order of their values. (1) 13/18 (2) 9/11 (3) 11/13 (4) 7/8 Choose the correct answer from the options given below :

The interest earned on ₹ 8000 when invested in some scheme for 2 years at 7% simple interest, per annum is half of the interest earned on another amount P invested for five years i...

Arrange the following shapes in increasing order of their areas: A. A circle of diameter 10 cm B. A rectangle of dimensions [6 cm x 4 cm] C. A square of side 5 cm D. An equilateral...

Arrange the following in increasing order of their values: A. (0.1)³ B. (1/100)^(1/2) C. (0.005)^(1/2) D. (0.04)^(1/2) Choose the correct answer from the options given below :

Which of the following statement(s) is/are wrong? A. A man runs at a speed of 20 km/hr and covers a distance of 400 m. The time taken by the man to cover 400 m is 8 minutes. B. A p...

Mohan does a work in 7 days, working 9 hours daily. Shyam does the same work in 6 days, working 7 hours daily. In how much time will they complete the work if they work 8 2/5 hours...

Arrange the following fractions in descending order of their value: (1) 13/18 (2) 9/11 (3) 11/13 (4) 7/8 Choose the correct answer from the options given below:

Arrange the following in increasing order of their values. A. $16^{0.32} \times 4^{0.36}$ B. $\frac{1}{25} \left[\frac{1}{8^\frac{1}{3}} + 27^\frac{1}{3}\right]^2$ C. $(1024)^\frac...

Identify the correct statements. A. 3 successive discounts of 20%, 25% and 20% are equivalent to a single discount of 65%. B. The value of $\sqrt{743\times\sqrt{196}}$ is equal to...

Identify the correct statements.

Match the LIST-I with LIST-II

Identify the correct statements:

When a producer gives a 36 percent commission on the retail price of his product, he gets an 8.8% profit. If this commission is reduced by 24 percent, what will be his profit?

Identify the correct statements. A. The angle between the hour hand and the minute hand at 2:40 PM is 130° B. If x³ = 1331, then x = 11 C. The area of a 1.0 m wide track around a r...

Match the LIST-I with LIST-II LIST-I (Question) A. If x/5 = y/8, then (x+5): (y+8) = ? B. If (x: y) = 2 : 1, then (x²-y²): (x²+y²) = ? C. If (x²+4y²) = 4xy, then x : y = ? D. If A:...

Match List-I with List-II: List-I (Question) A. If x/5 = y/8, then (x+5) : (y+8) = ? B. If (x : y) = 2 : 1, then (x² - y²) : (x² + y²) = ? C. If (x²+4y²) = 4xy, then x : y = ? D. I...

A person takes a loan at 5% simple interest. He returns ₹ 3000 after one year. How much amount will he have to pay at the end of 2 years to clear his due?

A sum was put at simple interest at a certain rate for 3 years. Had it been put at 1% higher rate, it would have fetched ₹5100 more. Find the sum.

Which of the following statements A-D are correct?

Match List - I with List - II: List - I A. (343)$^{1/3}$ – (81)$^{1/4}$ is equal to B. If 2$^8$ x 4$^3$ x 8$^3$ = 2$^x$ the x is equal to C. $\frac{(1.01)^2 - (1)^2}{(1.01 + 1)}$ i...

A train running at 54 km/hr takes 20 sec to cross a platform and 15 sec to pass a man walking in the same direction at a speed of 6 km/hr. Then the length of platform is

A sum of money lent at 20% compound interest per annum for 2 years fetches ₹ 482 more if the interest is compounded half-yearly instead of annually. Find the sum lent.