UGC NET Paper 1 — Math Reasoning

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.