GATE Questions

Q:

Choose Odd one out of the options ?

A) PSRQ B) SVUT
C) MNPO D) KNML
 
Answer & Explanation Answer: C) MNPO

Explanation:

PSRQ --> {16, 19, 18, 17} - next 3 alphabets of "P" is written in reverse order
SVUT --> {19, 22, 21, 20} - next 3 alphabets of "S" is written in reverse order

MNPO --> {13, 14, 16, 15}


KNML --> {11, 14, 13, 12} - next 3 alphabets of "K" is written in reverse order

Except "MNPO", others are not in consecutive order.

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Filed Under: Logical Sequence of Words
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51 12712
Q:

In a certain code language, 'how can you go' is written as 'ja da ka pa', 'can you come here' is written as 'na ka sa ja' and 'cone and go' is written as 'ra pa sa'. How is 'here' written in that code ?

A) na B) ja
C) sa D) None
 
Answer & Explanation Answer: A) na

Explanation:

From the given information :

how can you go = ja da ka pa....(1)
can you come here = na ka sa ja...(2)
come and go = ra pa sa....(3)
from (1)&(2), can you = ja ka...(4)
from (2)&(3), come = sa...(5)
Using (4)&(5) in (2), we get here = na.

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Filed Under: Coding and Decoding
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25 12704
Q:

There are six persons 1, 2, 3, 4, 5 and 6. 3 is the sister of 6. 2 is the brother of 5's husband. 4 is the father of 1 and grandfather of 6. There are two fathers, three brothers and a mother in the group. Which of the following is a group of brothers ? 

A) 1, 2, 3 B) 3, 2, 6
C) 1, 2, 4 D) 1, 2, 6
 
Answer & Explanation Answer: D) 1, 2, 6

Explanation:

4 is father of 1 and grandfather of 6. So, 1 is father of 6. Thus, 4 and 1 are the two fathers.
3 is the sister of 6. So, 3 is the daughter of 1. Since there is only one mother, it is evident that 5 is the wife of 1 and hence the mother of  3 and 6. So, 2 is brother of 1. There are three brothers. So, 6 is the brother of 3. Hence, 2 and 1 are brothers. 6 is the brother of 3. So, three brothers are 1, 2, 6.

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Filed Under: Blood Relations
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3 12680
Q:

A number increased by 30% gives 390. The number is

A) 180 B) 300
C) 480 D) 260
 
Answer & Explanation Answer: B) 300

Explanation:

Let the number be 'N'
Given N + 30N/100 = 390
=> 130N/100 = 390
=> N = 390 x 10/13
=> N = 300.

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Filed Under: Percentage
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16 12644
Q:

If log72 = m, then log4928 is equal to ?

A) 1/(1+2m) B) (1+2m)/2
C) 2m/(2m+1) D) (2m+1)/2m
 
Answer & Explanation Answer: B) (1+2m)/2

Explanation:

log4928 = 12log77×4

 

= 12+122log72
= 12+log72
12 + m
1+2m2.

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Filed Under: Logarithms
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62 12609
Q:

A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ?

A) 12 days B) 14 days
C) 13 days D) 16 days
 
Answer & Explanation Answer: C) 13 days

Explanation:

Now, Total work = LCM(16, 8) = 48

A's one day work = + 48/16 = + 3

B's one day work = - 48/8 = -6

Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15

2days B joined with A in working = 2(3 - 6) = - 6

Remaining Work of building wall = 48 - (15 - 6) = 39

Now this remaining work will be done by A in = 39/3 = 13 days.

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Filed Under: Time and Work
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22 12584
Q:

5x - 6 = 3x - 8

Solve the above equation.

A) 2 B) -1
C) -2 D) 1
 
Answer & Explanation Answer: B) -1

Explanation:

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

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Filed Under: Mathematical Operations
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23 12539
Q:

Calculate the angle between the two hands of clock when the clock shows 4 : 20 p.m. ?

A) 5 degrees B) 10 degrees
C) 15 degrees D) 25 degrees
 
Answer & Explanation Answer: B) 10 degrees

Explanation:

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

 

Required angle = distance of hour hand = speed × time = 12× 20 =10 degrees.

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Filed Under: Clock puzzles
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56 12532