GATE Questions and Answers with Explanation

Q:

26 L of the A?

Answer

The given letter equation 26 L of the A implies that 26 Letters of the Alphabet.

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7 5510

Q:

Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ?

A) 41.25 days	B) 37.5 days
C) 39.75 days	D) 40 days

Answer & Explanation Answer: A) 41.25 days

Explanation:

Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days.

Let the initial speed be '1'

Hence, Time = 22(24hrs - 2)

Noe new speed = 2/3

Let the number of days he take be 'D'

Therefore, $\frac{22 (24 - 2) x 3}{200} = \frac{D (24 - 2) x 2}{250}$

D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.

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Filed Under: Time and Distance
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9 5504

Q:

A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ?

A) 244 km	B) 144 km
C) 444 km	D) 344 km

Answer & Explanation Answer: B) 144 km

Explanation:

Given a jeep travels a certain distance taking 6 hrs in forward journey
During the return journey, it takes 4 hrs with an increased speed 12 km/hr
Let 'x' be the distance.
Now, speed is given by distance/time.
Here the difference between both speeds = 12

$\frac{x}{4} - \frac{x}{6} = 12$

$\frac{3 x - 2 x}{12} = 12$

=> x = 144 km

Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.

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Filed Under: Time and Distance
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3 5500

Q:

Find out which pair of words can be filled up in the blanks in the sentence to make the sentence meaningfully complete.

The policy on foreign direct investment in multi- brand retail may be _______ in a political impasse, but big retail chains are using India as sourcing base and making an _________ on local businesses.

A) Caught, impact	B) Caught, effect
C) Fetched, affect	D) Fetching, impact

Answer & Explanation Answer: A) Caught, impact

Explanation:

Caught - according to the sentence given caught means to become involved in something, often without wanting to.

Impasse - means a situation in which further development is impossible.

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Filed Under: Logical Sequence of Words
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14 5498

Q:

The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ?

A) 6	B) 4
C) 8	D) 10

Answer & Explanation Answer: B) 4

Explanation:

Let the age of Manisha and Sudeshna is 5x and 6x years respectively.

According to the given data,

5x+8/6x+8 = 7/8

42x + 56 = 40x + 64

x = 4

Required Difference of their ages = (6 × 4) – (5 × 4)

= 4 years.

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Filed Under: Problems on Ages
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8 5496

Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23	B) 432
C) 22	D) 431

Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

${}^{9}C_{1} + {}^{8}C_{1} + {}^{6}C_{1}$ = 23 will be answer.

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Filed Under: Permutations and Combinations
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2 5491

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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8 5490

Q:

A cowboy arrives in town on Friday. He stays for 3 days and then leaves on Friday. How is that possible?

Answer

You will get the answer in the riddle itself, if you read the riddle carefully.

The riddle says "A cowboy arrives in town on Friday." So Friday is the name of the horse on which he comes. Hence, the only possibility is he arrives on the horse friday on Tuesday, stays for 3 days and leaves on the same horse on Friday.

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