GATE Questions

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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23 13218
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 13188
Q:

The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

A) Rs. 1100 B) Rs. 1200
C) Rs. 1000 D) Rs. 1840
 
Answer & Explanation Answer: B) Rs. 1200

Explanation:

P --- 10 ----- 600 

  P --- 5 ----- 300

3P --- 5 ----- 900
                __________
                   1200

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Filed Under: Simple Interest
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24 13182
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 13177
Q:

In a certain code 'Black' means Orange', 'Orange' means Violet','Violet' means 'Green', 'Green' means 'White' ,'White', means 'Yellow' and 'Yellow' means 'Sky blue', what is the colour of coal ?

A) Orange B) Sky Blue
C) Violet D) Yellow
 
Answer & Explanation Answer: A) Orange

Explanation:

The colour of coal is Black. In the code language ,black is called orange. So, the colour of coal is Orange.

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Filed Under: Coding and Decoding
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50 13175
Q:

If NAMO = 172 and OM = 56  then, SHIVAY = ?

A) 606 B) 415
C) 504 D) 404
 
Answer & Explanation Answer: C) 504

Explanation:

(COUNTING OF LETTERS)
NAMO = 14 + 1 + 13 + 15 = 43 x 4 = 172,  OM = 15 + 13 = 28 x 2 = 56,

SHIVAY = 19 + 8 + 9 + 22 + 1 + 25 = 84 x 6 = 504

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Filed Under: Alphabet Test
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33 13166
Q:

The product of a number and its multiplicative inverse is

A) 1 B) 0
C) -1 D) Infinity
 
Answer & Explanation Answer: A) 1

Explanation:

The mutiplicative inverse of a number is nothing but a reciprocal of a number.

Now, the product of a number and its multiplicative inverse is always equal to 1.

 

For example :

Let the number be 15

Multiplicative inverse of 15 = 1/15

The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.

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Filed Under: Numbers
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21 13151
Q:

Try the logical puzzle?

logical_puzzle1538026382.jpg image

A) 24 B) 25
C) 13 D) 12
 
Answer & Explanation Answer: C) 13

Explanation:

The man has 12 sons and the 12 sons has each one sister.

=> 12 sons + 1 sister = 13 children.

 

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Filed Under: Logic Puzzles
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49 13149