GATE Questions and Answers with Explanation

Q:

Which sentence is capitalized correctly?

A) on a cloudless night, I studied pisces, a constellation in the north sky.	B) On a cloudless night, I studied Pisces, a constellation in the North sky.
C) on a Cloudless Night, i studied Pisces, a constellation in the North Sky.	D) On a cloudless night, I studied pisces, a constellation in the north sky.

Answer & Explanation Answer: B) On a cloudless night, I studied Pisces, a constellation in the North sky.

Explanation:

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Filed Under: Verification of Truth of the statement
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14 15534

Q:

217 x 217 + 183 x 183 = ?

A) 84521	B) 87487
C) 80578	D) 78458

Answer & Explanation Answer: C) 80578

Explanation:

${(217)}^{2} + {(183)}^{2}$

= ${(200 + 17)}^{2} + {(200 - 17)}^{2}$

It is in the form of ${(a + b)}^{2} + {(a - b)}^{2} = 2 (a^{2} + b^{2})$

= 2(40000 + 289) = 80578.

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Filed Under: Simplification
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22 15509

Q:

Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ?

A) 2 hrs	B) 20 min
C) 40 min	D) 30 min

Answer & Explanation Answer: B) 20 min

Explanation:

In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.

Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.

stoppage time = 20/60 hrs = 20 min.

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Filed Under: Time and Distance
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12 15477

Q:

Happiness is to 517768399 as senipah is to

A) 9836715	B) 9386615
C) 9386715	D) 9386517

Answer & Explanation Answer: C) 9386715

Explanation:

If each consecutive letter in "happiness" relates to the consecutive numbers in 517768399, then H=5, A=1, P=7, I=6, N=8, E=3 and S=9.

Using the numbers that relate to the letters in 'senipah', you will arrive at

SENIPAH = 9386715.

Hence, Happiness is to 517768399 as senipah is to 9386715.

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Filed Under: Coding and Decoding
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42 15467

Q:

1.12.91 is the first Sunday. Which is the fourth Tuesday of December 91 ?

A) 17.12.91	B) 24.12.91
C) 27.12.91	D) 31.12.91

Answer & Explanation Answer: B) 24.12.91

Explanation:

1.12.91 is the first Sunday of December 91.
So, 3.12.91 is the first Tuesday of the month.
Clearly, 10.12.91, 17.12.91, 24.12.91 and 31.12.91 are also Tuesdays.
So, 24.12.91 is the fourth Tuesday.

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Filed Under: Calendar
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31 15444

Q:

In an examination a candidate got 30% marks and failed by 30 marks. If the passing marks are 60% of the total marks, then the maximum marks will be:

A) 450	B) 600
C) 300	D) 100

Answer & Explanation Answer: D) 100

Explanation:

Passing marks are 0.6x

so 0.3x + 30 = 0.6x => x = 100

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Filed Under: Percentage
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21 15444

Q:

P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?

A) 3 km/hr	B) 4 km/hr
C) 5 km/hr	D) 6 km/hr

Answer & Explanation Answer: B) 4 km/hr

Explanation:

Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.

So, 24/x + 24/(7 - x) = 14

$x^{2}$ - 98x + 168 = 0

(x - 3)(x - 4) = 0 => x = 3 or 4.

Since, P is faster than Q,

so P's speed = 4 km/hr and Q's speed = 3 km/hr.

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Filed Under: Time and Distance
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16 15398

Q:

Fear : Threat :: Anger : ?

A) Panic	B) Compulsion
C) Force	D) Provocation

Answer & Explanation Answer: D) Provocation

Explanation:

The given words follow a relation that First arises from the second.

That is, fear arises from the threat. Similarly, anger arises from provocation.

Hence, Fear : Threat :: Anger : Provocation.

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Filed Under: Analogy
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33 15384

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