UGC NET Paper 2 — Math Reasoning

Arrange the following fractions in increasing order : A. 14/17 B. 11/13 C. 7/9 D. 16/19 Choose the correct answer from the options given below :

A boat takes an hour to cover a certain distance downstream in a river. It takes 1 1/2 hour to cover the same distance upstream. Assuming that the speed of boat is same in both dow...

A sum of Rs. 10,000 is invested for a term of 2\frac{1}{2} years at an interest rate of 8% compounded annually. The amount on maturity will be :

A man and a boy completed a piece of work in 10 days and were a paid Rs. 10,000. The man was 50% more efficient than the boy. What is the difference in the daily wages of the man a...

A sum of money is equally divided among a number of children. Had there been 10 children less, each would have received ₹ 5 more, and had there been 10 children more each would hav...

किसी विद्यालय के 2/5 विद्यार्थी बस द्वारा, 1/4 विद्यार्थी कार द्वारा तथा शेष विद्यार्थी पैदल विद्यालय जाते हैं। पैदल विद्यालय जाने वाले विद्यार्थियों में से 1/3 विद्यार्थी अकेले जा...

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...

A 500 m long train running at a speed of 100 m/s crosses a tunnel in 10 s. What is the length of the tunnel?

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 :

Find the number that can replace question mark (?) in the series given below. 1, 3, 2, 5, 3, 7, 4, 9, 5, 11, 6, 13?

Arrange the following in ascending order of their values:

Rohan buys an article at discount of 25%. At what percentage above the cost price should he sell it to make a profit of 25% over the original price?

Arrange the following fractions in increasing order. A. 6/7 B. 11/13 C. 16/19 D. 19/22

Match List - I with List - II: List - I A. In a class, the ratio of number of male students to number of female students is 9:11. The percentage (%) of female students in the class...

₹ 3800 की धनराशि को A, B और C तीन व्यक्तियों में ½ : ½ : ¼ के अनुपात में विभाजित किया जाता है। इनमें C नामक व्यक्ति का हिस्सा कितना है?

If 7:x = 17.5 : 22.5, find the value of x.

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...

Identify the correct statements from the following: A. The angle between the hour hand and the minute hand at 2:40 PM is 130°. B. If x^3 = 1331, then x = 11. C. The area of a 1.0 m...

Find the next term (?) in the following number series. 0, 9, 26, 65, 124, 217, ?, ......

Total monthly salary of a couple (husband and wife) is ₹ 2.0 lakh. Their salaries are in the ratio of 5:3. If husband and wife spend 40% and 20% of their salaries, respectively, wh...

A certain sum of money doubles in 4 years at a compound rate of interest per annum. The rate of interest is [Given; $2^{1/2} = 1.414$, $2^{1/4} = 1.1892$]

एक रेलगाड़ी कतिपय औसत चाल से 63 किमी दूरी तय करती है तथा अपनी मूल चाल से 6 किमी/घं. की अधिक औसत चाल से 72 किमी दूरी तय करती है। यदि पूरी यात्रा में 3 घंटे लगते हैं, तब मूल चाल क्या...

Which of the following are correct? A. Speed of 50 km/hour is equivalent to 15 m/s B. The area of a rhombus with diagonals of 4 cm and 6 cm is 12 cm² C. $\sqrt[3]{729}$ is greater...

Two cylindrical jars have their diameters in the ratio 3: 1 but heights in the ratio 1: 3. Then the ratio of their volumes is

If (L)M represents a number L in base-M number system, then identify the correct ascending order of the following numbers A-D when converted to decimal number system. (A) (102)4 (B...

Match List - I with List - II: List - I A. (343)⅓ - (81)¼ is equal to B. If 2⁸ x 4³ x 8³ = 2ˣ the x is equal to C. (1.01)² - (1)² / (1.01 + 1) is equal to D. A train moving with sp...

Two friends A and B live 140 km apart. They start driving towards each other in a straight line to meet. If A drives at 80 km/h and B drives at 40 km/h, how many km apart will they...

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

A train moving at a speed of 63 km/hr enters a railway station and crosses the platform in 20 s. If the length of the train is 100 m, what is the length of the platform?

Two identical vessels P and Q are filled with a mixture of milk and water in the ratio 1:1 and 3:1 respectively. In what ratio should the mixture be drawn from P and Q so that the...

The difference between compound interest and simple interest on a principal at 10% per annum for two years is ₹5431. Find the principal.

Match the LIST-I with LIST-II LIST-I (Question) LIST-II (Answer) 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...

A sum of ₹ 50 is divided among A, B and C in such a way that A gets ₹ 5 less than B, and B gets ₹ 10 less than C. What is the ratio of their money share?

Match List - I with List - II: List - I A. The numerator of a fraction is increased by 25% and the denominator is increased by 50% leading to a value of 5/3. The original fraction...

सत्य कथनों की पहचान करें : A. 3 क्रमिक छूटें 20%, 25% और 20% मिलकर किसी एकल छूट 65% के बराबर होती हैं। B. $\sqrt[3]{743} \times \sqrt{196}$ का मान 98 के बराबर है। C. मिनट की सुई द्...

In an arithmetic series having 50 terms, the first and last terms are 3 and 199, respectively. What is the sum of the series?

Which of the following statements A-D are correct? A. 5% of (25% of 1600) is 50. B. 0.15% of 33⅓% of 10,000 is 5. C. If interest earned on ₹15,000 in 3 years at simple interest is...

Two successive discounts of 10% and 15% are equivalent to a single discount of

Mohan can do a piece of work in 7 days working 9 hours a day and Shyam can do the same work in 6 days working 7 hours a day. How long will they take to complete the job working tog...

If (P)8 represents the number P in base - 8, then (144)8 + (175)8 =

सूची-I को सूची - II से सुमेलित करें। सूची - I A. दो वर्षों के लिए 10% की वार्षिक चक्रवृद्धि ब्याज दर से 200 रूपए की धनराशि पर चक्रवृद्धि ब्याज B. जब मिनट की सुई 90° घूमती है तो घण्...

A sum of Rs. 10,000 is invested for a term of 2 $\frac{1}{2}$ years at an interest rate of 8% compounded annually. The amount on maturity will be:

An article is sold at a gain of 10%. Had it been sold for Rs. 26 more, the profit would have been 15%. The cost price of the article is

एक कतिपय धनराशि को अर्धवार्षिक रूप से देय 10% वार्षिक चक्रवृद्धि ब्याज दर पर ऋण के रूप में दिया जाता है। ब्याज की प्रभावी वार्षिक दर क्या है?

A sum of Rs. 1.0 Lakh is invested for 1 year at an interest rate of 10% per annum compounded half-yearly. The compound interest is

The sum and difference of two numbers are 19 and 7, respectively. What is the sum of their squares ?

Match List - I with List - II: List - I A. The numerator of a fraction is increased by 25% and the denominator is increased by 50% leading to a value of 5/3. The original fraction...

एक दुकानदार 60 रूपए प्रति किलो की लागत पर दूध क्रय करता है। इसमें पानी (निःशुल्क) मिलाने के पश्चात्, वह ग्राहकों को दूध 62 रूपए प्रति किलो के मूल्य पर बेचता है तथा 10% का लाभ कमाता...

Match the LIST-I with LIST-II LIST-I A. Median of 4, 4, 5, 7, 6, 7, 7, 12, 3 B. Mean of 7, 5, 9, 8, 15, 3, 8, 9 C. Mode of 2, 3, 7, 1, 3, 2, 3 D. Value of x, if mean of x, x+2, x+4...

The ratio of two numbers is 7:3. If 2 is added to each, their ratio becomes 2:1. What will be the sum of these two numbers?