GATE Questions and Answers with Explanation

Q:

The gas provider Centrica has seen its half-year profits fall by 20% to £992 million. Despite this it has decided to increase its dividend to shareholders to 3.9p per share. The rise in energy prices released before the announcement of Centrica's profits was designed, said the company, to restore "reasonable profitability". The chief executive, Sam Laidlaw, said, "We produced a good set of results in tough market conditions... we will continue to concentrate on improving customer service in British Gas..." This is an interesting statement given the record rise in prices to households. The announcement of profits which are not far off one billion pounds, a day after the announcement of the rise in price and the increase in dividend to shareholders, is likely to provoke angry reaction. Many will question the extent of the market power that Centrica possesses. There will also be those that will question what the phrase 'reasonable profitability' means in the context of profits of nearly one billion pounds.

Question: 1) Announcing large profits, soon after announcing price rises, is likely to provoke angry reaction.

Question: 2) Companies increase shareholder dividends when profits fall.

Question: 3) One way companies can restore profitability is to increase prices.

Answer

Answer 1) True

Answer 2) Cannot tell

Answer 3) True

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Subject: Deriving Conclusions From Passages Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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10 5263

Q:

In a box, there are four marbles of white color and five marbles of black color. Two marbles are chosen randomly. What is the probability that both are of the same color?

A) 2/9	B) 5/9
C) 4/9	D) 0

Answer & Explanation Answer: C) 4/9

Explanation:

Number of white marbles = 4

Number of Black marbles = 5

Total number of marbles = 9

Number of ways, two marbles picked randomly = 9C2

Now, the required probability of picked marbles are to be of same color = 4C2/9C2 + 5C2/9C2

= 1/6 + 5/18

= 4/9.

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Filed Under: Probability
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13 5262

Q:

Gopal borrowed some money at 12% simple interest. If he had to pay back Rs. 1280 after 5 years, in order to clear off the loan. How much did he borrow?

A) Rs. 800	B) Rs. 620
C) Rs. 560	D) Rs. 480

Answer & Explanation Answer: A) Rs. 800

Explanation:

Let the principle amount be Rs. P

Interest rate = 12%

Total amount he paid after 5 years = Rs. 1280

ATQ,

$P + I = \frac{PTR}{100} + P 1280 = P [\frac{TR}{100} + 1] 1280 = P [\frac{5 x 12}{100} + 1] \frac{16 P}{10} = 1280 P = 80 x 10 = 800$

Hence, the amount he borrowed = P = Rs. 800.

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Filed Under: Simple Interest
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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13 5261

Q:

At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?

A) 4.58 %	B) 5.96 %
C) 6.52 %	D) 4.98 %

Answer & Explanation Answer: B) 5.96 %

Explanation:

Difference in amount = 514 - 415 = 99

99 = (415 x 4 x R)/100

R = 5.96%

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Filed Under: Simple Interest
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5 5260

Q:

Aadi can do a piece of work in 12 days alone, Bunny can do the same work in 16 days alone. After Aadi has been working for 5 days and Bunny for 7 days, Charan finishes it in 14 days. In how many days will Charan alone be able to do the work?

A) 96 days	B) 48 days
C) 24 days	D) 12 days

Answer & Explanation Answer: A) 96 days

Explanation:

Let number of days Charan can do the same work alone is 'd' days.

According to the given data,

$\frac{5}{12} + \frac{7}{16} + \frac{14}{d} = 1 \frac{14}{d} = 1 - \frac{(20 + 21)}{48} \frac{14}{d} = \frac{48 - 41}{48} d = \frac{14 x 48}{7} d = 96 days$

Therefore, Charan alone can complete the work in 96 days.

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Filed Under: Time and Work
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6 5256

Q:

In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?

A) 18	B) 14
C) 22	D) 24

Answer & Explanation Answer: B) 14

Explanation:

1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14
Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them
So minimum no. of boys standing in the queue = 14

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Filed Under: Chain Rule
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28 5252

Q:

What has a foot but no legs?

Answer

A measuring device.

Measuring devices have feet on them to measure distance.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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8 5247

Q:

Under which conditions are gases most soluble in water?

A) low pressure and low temperature	B) low pressure and high temperature
C) high pressure and low temperature	D) high pressure and high temperature

Answer & Explanation Answer: C) high pressure and low temperature

Explanation:

Henry's Law tells that the solubility of a gas is directly proportional to the partial pressure of the gas above the solvent. Hence under high pressure, more gas is dissolved.

Also that Henry's Law involves a constant which is temperature-dependent. Under high temperatures, less gas is dissolved whereas under low temperatures, more gas is dissolved.

For Example ::

You can think of a can of soda. The contents are under pressure and if you shake the can before opening, the soda fizzes out all over as you open it. So the higher the pressure, the more gas or more CO2 can be dissolved in the drink.

Eliminate choices 1 and 2. Now focus on the temperature. Soda goes flat (loses carbonation or gas) as it warms up. Soda is usually served cold because more of the carbonation or CO2 stays in the drink when the soda is cold.

Hence, in high pressure and low temperature conditions gases are most soluble in water.

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Filed Under: Chemistry
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1 5240

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