GATE Questions and Answers with Explanation

Q:

In a certain code DOWN is written as '5@9#' and NAME is written as '#6%3'. How is MODE written in that code ?

A) 6@53	B) %@53
C) 53%#	D) %#35

Answer & Explanation Answer: B) %@53

Explanation:

From the given information :

D O W N A M E == 5 @ 9 # 6 % 3
MODE = %@53

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Filed Under: Coding and Decoding
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20 8476

Q:

A man pointing to a lady says, "Her brother is the father of my only son's sister." How is that lady related to the man ?

A) sister of father-in-law	B) daughter-in-law
C) Sister	D) daughter

Answer & Explanation Answer: C) Sister

Explanation:

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Filed Under: Blood Relations
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14 8475

Q:

14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.

A) 11/379	B) 21/628
C) 24/625	D) 26/247

Answer & Explanation Answer: C) 24/625

Explanation:

Total no of ways = (14 – 1)! = 13!

Number of favorable ways = (12 – 1)! = 11!

So, required probability = $(\frac{(11! \times 3!)}{13!})$ = $\frac{39916800 \times 6}{6227020800}$ = $\frac{24}{625}$

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Filed Under: Probability
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22 8471

Q:

What time will it be in 45 minutes?

Now, if the time is 4:48 pm.

Answer

As now, the time 4 : 48 pm after 45 min it will be

4:48 + 45 min = (4 hrs : 48 + 12 min) pm + 33 min = 5 hrs : 33 min pm.

Hence, it is 5:33 pm.

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Subject: Clocks Exam Prep: AIEEE , Bank Exams , CAT , GATE
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22 8467

Q:

An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?

A) 113/108	B) 105/103
C) 108/115	D) 103/113

Answer & Explanation Answer: B) 105/103

Explanation:

As given equal amounts of alloys are melted, let it be 1 kg.

Required ratio of gold and silver = $\frac{\frac{5}{13} + \frac{5}{8}}{\frac{8}{13} + \frac{3}{8}} = \frac{105}{103} .$

Hence, ratio of gold and silver in the resulting alloy = 105/103.

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Filed Under: Alligation or Mixture
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15 8465

Q:

What should come next in the following letter series based on English alphabet ?
CEA JLH QSO ?

A) WYU	B) UXW
C) WXV	D) XZV

Answer & Explanation Answer: D) XZV

Explanation:

In the given series, each letter moves seven letters forward to obtain the next.
So, XZV replaces ? in the series.

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Filed Under: Alphabet Test
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13 8464

Q:

In an election between two candidates K and L, the number of valid votes received by K exceeds those received by L by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did L get ?

A) 3241	B) 2457
C) 2642	D) 2834

Answer & Explanation Answer: D) 2834

Explanation:

Let the total number of votes polled in the election be 100k.
Number of valid votes = 100k - 20% (100k) = 80k
Let the number of votes polled in favour of K and L be a and b respectively.
a - b = 15% (100k) => a = b + 15k
=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k
It is given that 100k = 8720
32.5k = 32.5k/100k x 8720 = 2834

The number of valid votes polled in favour of L is 2834.

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Filed Under: Percentage
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7 8442

Q:

Which of the following is the sixth to the left of the twentieth from the left end of the below arrangement ?
BM%R#J@K!DF69L4*15NEP23AYQZ#7UG

A) L	B) K
C) 4	D) 9

Answer & Explanation Answer: A) L

Explanation:

The twentieth element in the above arrangement is 'E'.
Then, the sixth element to the left of 'E' is 'L'.

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Filed Under: Alphabet Test
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12 8436

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