GATE Questions

Q:

Which expression is equivalent to i233?

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

Explanation:

We know that,

i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233  =i4 x 58 + 1 = i232 x i1 = 1 x i = i

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Filed Under: Numbers
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9 7833
Q:

How many balls?

Number of balls in the figure...

balls1523099634.jpg image

Answer

You have to actually count all the balls in the pyramid.
Simple way is to count the balls in each level.


So lower most level lets say 1st level has 4 x 4 balls; i.e. 16 balls
Similarly 2nd level has 3 x 3 balls; i.e. 9 balls.
3rd level has 2 x 2 balls; i.e. 4 balls.
The top most level has just 1 ball.


So the total number of balls is 16+9+4+1 = 30.


 


So the image has 30 Balls in all.

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11 7809
Q:

Sum of present ages of P and Q is 41. Age of P 2 year hence is equal to age of R, 1 year ago. Age of P, 4 year hence is equal to age of Q 1 year ago and ratio of present age of P and S is 3 : 4. Find the difference of age of R and S. 

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: B) 3

Explanation:

According to the given data,

P + Q = 41 ......(1)

R - 1 = P + 2

R = P + 3

and

P + 4 = Q - 1

=> Q = P + 5 ....(2)

From (1)&(2)

P = 18

Q = 18 + 5 = 23

R = 18 + 3 = 21

=> P/S = 3/4

=> S = 4/3 x 18 = 24

Required Difference = S - R = 24 - 21 = 3.

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10 7777
Q:

Please enter the Missing number: 4 8 14 22 ?

A) 28 B) 32
C) 46 D) 36
 
Answer & Explanation Answer: B) 32

Explanation:

Here the given series follows a pattern that,

2- 0 = 4  

3- 1 = 8  

4- 2 = 14

5- 3 = 22

6- 4 = 32

Hence, the missing number is 32

 

 

Method 2 ::

The difference between 4 and 8 is 4, the difference between 8 and 14 is 6, the difference between 14 and 22 is 8. So the next difference between 22 and the next number will be 10 since it follows (4,6,8,10 - add +2 each time)

Hence, 22 + 10 = 32 is the missing number.

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Filed Under: Odd Man Out
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8 7768
Q:

In what time will Rs. 3300 becomes Rs. 3399 at 6% per annum interest compounded half-yearly ?

A) Quarter months B) Half year
C) 2 years D) 1 year
 
Answer & Explanation Answer: B) Half year

Explanation:

3300 ----- 3% ↑ (1st time interval, 99) → 3399.

Here, time interval is given as half-yearly i.e. 6 months.

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2 7764
Q:

Find the length of a train if it takes 10 seconds to cross a pole and double of this time to cross a platform of length 200 mts ?

A) 180 mts B) 190 mts
C) 200 mts D) 210 mts
 
Answer & Explanation Answer: C) 200 mts

Explanation:

Let the length of the train be 'L' mts

let the speed of the train be 'S' m/s

Given it crosses a pole in 10 sec=> L/S = 10 ......(1)
Given it takes 20 sec (double of pole) to cross a platform of length 200 mts

=> (L + 200)/S = 20

=> L/S + 200/S = 20

But from (1) L/S = 10

=> 200/S = 20 - 10

=> S = 20 m/s

Then, from (1)

=> L = 10 x 20 = 200 mts.

Hence, the length of the train = 200 mts.

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12 7762
Q:

What kind of tree can you carry in your hand?

Answer

Palm tree.

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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15 7755
Q:

A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ? 

A) 34 hrs B) 36 hrs
C) 38 hrs D) 40 hrs
 
Answer & Explanation Answer: D) 40 hrs

Explanation:

The time taken by the leak to empty the tank = 18 - 110 = 5 - 440 = 140

Therefore, the leak empties the tank in 40 hours.

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Filed Under: Pipes and Cistern
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10 7746