GATE MA topic:mathematics PYQs & Answers — Page 47

Questions 461–470 of 650. Imported answers require independent review unless marked reviewed.

Since the last one year, after a 125 basis point reduction in repo rate by the Reserve Bank of India, banking institutions have been making a demand to reduce interest rates on small saving schemes. Finally, the government announced yesterday a reduction in interest rates on small saving schemes to bring them on par with fixed deposit interest rates.

Which one of the following statements can be inferred from the given page?

Your answerChoose one option.

Whenever the Reserve Bank of India reduces the repo rate, the interest rates on small saving schemes are also reduced

Interest rates on small saving schemes are always maintained on par with fixed deposit interest rates

The government sometimes takes into consideration the demands of banking institutions before reducing the interest rates on small saving schemes

A reduction in interest rates on small saving schemes follow only after a reduction in repo rate by the Reserve Bank of India

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In a country of 1400 million population, 70% own mobile phones. Among the mobile phone owners, only 294 million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country?

Your answerChoose one option.

10.50

14.70

15.00

50.00

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The nomenclature of Hindustani music has changed over the centuries. Since the medieval period dhru-pad styles were identified as baanis. Terms like gayaki and baaj were used to refer to vocal and instrumental styles, respectively. With the institutionalization of music education the term gharana became acceptable. Gharana originally referred to hereditary musicians from a particular lineage, including disciples and grand disciples.

Which one of the following pairs is NOT correct?

Your answerChoose one option.

dhru-pad, baani

gayaki, vocal

baaj, institution

gharana, lineage

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Two trains started at 7AM from the same point. The first train travelled north at a speed of 80km/h and the second train travelled south at a speed of 100 km/h. The time at which they were 540 km apart is _____ AM.

Your answerChoose one option.

11.30

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“I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the prestige of a head-hunter in his own community.”

Based on the paragraph above, the prestige of a head-hunter depended upon ________.

Your answerChoose one option.

the prestige of the kingdom

the prestige of the heads

the number of taxes he could levy

the number of heads he could gather

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For a balanced transportation problem with three sources and three destinations where costs, availabilities and demands are all finite and positive, which one of the following statements is FALSE?

Your answerChoose one option.

The transportation problem does not have unbounded solution

The number of non-basic variables of the transportation problem is 4

The dual variables of the transportation problem are unrestricted in sign

The transportation problem has at most 5 basic feasible solutions

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Let

(the set of all real numbers) be any function which is twice differentiable in

with only one root

. Let

and

denote the first and second order derivatives of

with respect to

. If

is a simple root and is computed by the Newton-Raphson method, then the method converges if

Your answerChoose one option.

, for all

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Let

(the set of all complex numbers) be defined by

Let

denote the derivative of

with respect to

. Then which one of the following statements is TRUE?

Your answerChoose one option.

exists and

is analytic at the origin

is not differentiable at

is differentiable at

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The partial differential equation

Your answerChoose one option.

parabolic in the region

hyperbolic in the region

elliptic in the region

hyperbolic in the region

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then which one of the following statements is TRUE?

Your answerChoose one option.

Both the sequence

and the series

are convergent

Both the sequence

and the series

are divergent

The sequence

is convergent but the series

is divergent

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GATE MA topic:mathematics PYQs

Question 6

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Question 8

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Question 10

Question 1

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Question 3

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Question 5