GATE Questions and Answers with Explanation

Q:

P can do a piece of work in 5 less days than Q. If both of them can do the same work in $11 \frac{1}{9}$ days, in how many days will Q alone do the same work ?

A) 24 days	B) 25 days
C) 20 days	D) 19 days

Answer & Explanation Answer: B) 25 days

Explanation:

Let Q complete that work in 'L' days

=> $\frac{1}{L} + \frac{1}{L - 5} = \frac{9}{100}$

=> $9 L^{2} - 245 L + 500 = 0$

L = 25 days.

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Filed Under: Time and Work
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11 5146

Q:

DNA can be found in what Organelles?

A) Chloroplasts and Mitichondria	B) Nucleus and Ribosomes
C) Ribosomes and Mitochondria	D) Endoplasmic Reticulum and Nucleus

Answer & Explanation Answer: A) Chloroplasts and Mitichondria

Explanation:

DNA can be found in 3 Organelles namely Nucleus, Mitochondria in animals and Chloroplasts in plants.

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Filed Under: Biology
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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 5143

Q:

A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ?

A) 13.33 %	B) 14.25 %
C) 16.98 %	D) 18.75 %

Answer & Explanation Answer: D) 18.75 %

Explanation:

Given,
S.I = 3 Principal Amount
=> 3A = A x 16 x R/100
By solving, we get
=> R = 18.75%

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Filed Under: Simple Interest
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7 5135

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 5132

Q:

Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?

A) Rs. 28,000	B) Rs. 18,000
C) Rs. 14,000	D) Rs. 8,000

Answer & Explanation Answer: A) Rs. 28,000

Explanation:

Investments ratio is = 3:1
Time period ratio is = 2:1

As they are proportional to gain

------
Gain ratio of Vishal and raghu = 6:1

But given Raghu got Rs. 4000,

=? 1 ----- 4000
7 ----- ?

=> Rs.28,000

The total gain = Rs.28,000

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Filed Under: Partnership
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4 5131

Q:

Which city is located on the banks of the river Mula-Mutha?

A) Pune	B) Nagpur
C) Ahmedabad	D) Surat

Answer & Explanation Answer: A) Pune

Explanation:

The Mula-Mutha is a river in India, formed by the confluence of the Mula and Mutha rivers in the city of Pune, which later meets the Bhima River, which itself later meets the Krishna River and finally emptying to the Bay of Bengal.

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Filed Under: Indian Geography
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12 5123

Q:

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

A) 8/15	B) 7/15
C) 1/15	D) 4/15

Answer & Explanation Answer: B) 7/15

Explanation:

Given total students in the class = 60
Students who are taking Economics = 24 and
Students who are taking Calculus = 32
Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4
Students who are taking calculus only = 32 - 4 = 28
probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

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Filed Under: Probability
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