GATE Questions and Answers with Explanation

Q:

Sambhu buys rice at Rs. 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage ?

A) 50%	B) 25%
C) 75%	D) 60%

Answer & Explanation Answer: A) 50%

Explanation:

CP of 1000gm = Rs. 10
SP of 800gm = Rs. 12
SP of 1000gm =12x1000/800 = Rs. 15

Now take 1000gm as reference to calculate profit.
Profit=SP-CP=15-10=Rs. 5
Profit % = 5x100/10 = 50%

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8 9104

Q:

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ?

A) 34 hrs	B) 36 hrs
C) 38 hrs	D) 40 hrs

Answer & Explanation Answer: D) 40 hrs

Explanation:

The time taken by the leak to empty the tank = $\frac{1}{8} - \frac{1}{10} = \frac{5 - 4}{40} = \frac{1}{40}$

Therefore, the leak empties the tank in 40 hours.

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Filed Under: Pipes and Cistern
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10 9080

Q:

Rs. 69 were divided among 115 family members so that each lady gets 50 paise less than each gentleman, and each gentleman received twice the paise as each lady received. Find the number of gentlemen in the family?

A) 23	B) 92
C) 48	D) 52

Answer & Explanation Answer: A) 23

Explanation:

Total number of female members = 115

Let the number of males = x

Number of females = y

=> x + y = 115 ......(1)

According to the given data,

x + y(0.50) = 69 ......(2)

From (1) & (2), we get

0.5y = 46

=> y = 46 x 2 = 92

=> x = 115 - 92 = 23

Hence, required number of gentlemen in the family = x = 23.

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Filed Under: Percentage
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8 9080

Q:

Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ?

A) $3 \frac{4}{49} d a y s$

B) $12 \frac{4}{49} d a y s$

C) $4 \frac{3}{49} d a y s$

D) $4 \frac{12}{49} d a y s$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: C) Option C

Explanation:

Raghu can complete the work in (12 x 9)hrs = 108 hrs.

Arun can complete the work in (8 x 11)hrs = 88 hrs.

Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88

(Raghu + Arun)'s 1 hrs work = $(\frac{1}{108} + \frac{1}{88}) = \frac{49}{2376}$

So, both Raghu and Arun will finish the work in $\frac{2376}{49} h r s$

Number of days of 12 hours each= $(\frac{2376}{49} \times \frac{1}{12})$ = $\frac{198}{49} = 4 \frac{3}{49} d a y s$

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Filed Under: Time and Work
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6 9075

Q:

Which vehicle is spelled the same forwards and backwards?

Answer

Racecar and Civic are the two vehicles which spelled the same forwards an backwards.

Workspace

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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7 9066

Q:

In HTML, ___________ tag is used to construct drop-down list boxes and scrolling list boxes.

A) <SELECT>	B) <OPTION>
C) <TEXTAREA>	D) <INPUT>

Answer & Explanation Answer: A) <SELECT>

Explanation:

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Filed Under: Programming
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58 9056

Q:

Where should a boat compass be mounted?

A) near magnet	B) near iron
C) away from electrical wiring	D) All the above

Answer & Explanation Answer: C) away from electrical wiring

Explanation:

A compass, which is used to assist in navigation, is an instrument that shows magnetic north. You must apply a correction to determine the direction of true north. The ability to steer a boat by a compass is useful if land is out of sight, visibility is reduced, or the boat operator is disoriented.

Mount a boat compass away from iron, magnets, and electrical wiring and equipment.

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Filed Under: Physics
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15 9053

Q:

If 25% of three-seventh of 26% of a number is 145.5, what is the number?

A) 4987	B) 5784
C) 5223	D) 4741

Answer & Explanation Answer: C) 5223

Explanation:

Given,

25% of three-seventh of 26% of a number is 145.5

Let the required number be 'N'

i.e, $\frac{25}{100} x \frac{3}{7} x (\frac{26}{100} x N) = 145.5$

N = $\frac{145.5 x 7 x 10000}{75 x 26}$

=> N = 5223.07

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Filed Under: Percentage
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9 9051

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