GATE Questions and Answers with Explanation

Q:

The age of X is 2/3 rd that of Y. After 6 years X will be 46 years old. the present age of Y is?

A) 40	B) 56
C) 60	D) 100

Answer & Explanation Answer: C) 60

Explanation:

X= 2/3Y

=> Y= 3/2X

Aage of X after 6 years = 46 years

So present age of X = 46-6 = 40 years

Now, present age of Y = 3/2 * 40 = 60 years.

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Filed Under: Problems on Ages
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10 5222

Q:

The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is:

A) 32	B) 40
C) 16	D) 30

Answer & Explanation Answer: A) 32

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P.

S.P. of P articles = Rs. 40.

Profit = Rs. (40 - P)

Now, Gain% = $\frac{P r o f i t}{C . P} \times 100$ = $\frac{40 - P}{P} \times 100$

Here $\frac{40 - P}{P} \times 100$ = 25

-->P = 32.

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Filed Under: Profit and Loss
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6 5220

Q:

Population of a colony of mosquitoes is increasing by 20% per day. If the population on Monday was 3000, on which day of that week the population would be 5184 ?

A) Thursday	B) Friday
C) Tuesday	D) Monday

Answer & Explanation Answer: A) Thursday

Explanation:

Given monday population = 3000
Per day 20% increase in population.

Tuesday population = 3000 + 3000x20/100 = 3000 + 600 = 3600

Wednesday population =3600 + 3600x20/100 = 3600 + 720 = 4320

Thursday population = 4320 + 4320x20/100 = 4320 + 864 = 5184

So that day is Thursday.

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Filed Under: Percentage
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3 5220

Q:

Oxidation Number of 'S' in $H_{2} S O_{4}$ ?

A) +6	B) +2
C) -6	D) -2

Answer & Explanation Answer: A) +6

Explanation:

In $H_{2} S O_{4}$ ,

Hydrogen has a charge of +2, with each hydrogen has +1.

Oxygen has a charge of -8, with each oxugen has -2.

Total charge = (2 - 8) = -6

Therefore, the Oxidation number of Sulphur S is '+6' because to make the compound stable.

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Filed Under: Chemistry
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11 5218

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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13 5214

Q:

Namitha sold a powerbank which is at the cost of Rs. 1950 at a loss of 25%. Find at what cost will she have to sell it to get a profit of 25%?

A) Rs. 3680	B) Rs. 3560
C) Rs. 3320	D) Rs. 3250

Answer & Explanation Answer: D) Rs. 3250

Explanation:

Let the Cost price of the powerbank = Rs. P

But given that by selling it at Rs. 1950, it gives a loss of 25%

=> $\frac{P x 75}{100} = 1950$
=> $P = \frac{1950 x 100}{75}$ = Rs. 2600
Now, to get a profit of 25%

Selling Price = $\frac{2600 x 125}{100} = Rs . 3250$ .

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Filed Under: Profit and Loss
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15 5211

Q:

Unresolved dissonance is a characteristic of

Answer

When the tension is unresolved, we have unresolved dissonance. Unresolved dissonance is a characteristic of the baroque music.

The general characteristics of Baroque music is movement, energy, and tension.

Workspace

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Subject: Physics Exam Prep: AIEEE , Bank Exams , CAT , GATE
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2 5209

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 5208

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