GATE Questions

Q:

Which number replaces 'x' in the below figure ?

k11483336561.jpg image

A) 2 B) 9
C) 11 D) 12
 
Answer & Explanation Answer: B) 9

Explanation:

k11483336735.jpg image

 

Here in 2nd column if you add the individual digits

 we get  3 + 7 + 0 =10 , 2 + 2 + 4 = 8 , 7 + 3 + 0 = 10

 

7   10   3  --> 7+3 =10

 

6   8     2  --> 6+2 =8

 

x   10   1  --> x+1 =10

 

Here we can observe that by adding 1st and 3rd column elements we get 2nd column elements

 --> x = 9

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49 4968
Q:

Dileep started a business with a capital of Rs. 8000. After six months, Narender joined him with some investment. If at the end of the year each of them gets equal amount as profit, how much did Narender invest in the business?

A) 24000 B) 16000
C) 12000 D) 32000
 
Answer & Explanation Answer: B) 16000

Explanation:

Given Dileep and Narender started a business.

Dileep invested 8000 for 12 months

Let Narender invested 'p' for 6 months

At the end of the year, their profit ratio is 1 : 1.

Hence,

8000 x 12 : p x 6

p : 16000

p/16000 = 1/1

=> p = 16,000

 

Hence, Narender invested amount is Rs. 16,000.

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8 4967
Q:

Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same principal at 4% per annum in two years?

A) Rs. 704 B) Rs. 854
C) Rs. 893 D) Rs. 914
 
Answer & Explanation Answer: A) Rs. 704

Explanation:

We know that,

S.I. = PTR100 P = S.I x 100T x RAnd also,C.I = P1 + R100n- 1

From given data, P = Rs. 8625

Now, C.I  = 86251+41002-1= 862526252-1= 8625676625-1= 8625 x 51625C.I = Rs. 703.80

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11 4965
Q:

Number Challenge Puzzle ?

18620018_1306314879475613_5569162457360056464_n1499146603.jpg image

A) 1 B) 4
C) 5 D) 0
 
Answer & Explanation Answer: A) 1

Explanation:

In each row, 

Sum of 1st two digit number + last two digit number = Middle two digit number

i.e., 1st row 15 + 40 = 55

2nd row 46 + 47 = 93

Similarly, 7x + 16 = 87 => x = 1.

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13 4963
Q:

Which technology is used in compact disc or disks?

A) Laser B) Mechanical
C) Electrical D) Electro magnetic
 
Answer & Explanation Answer: A) Laser

Explanation:

                                    Which_technology_is_used_in_compact_disc_or_disks1538026052.jpg image

Compact disc (CD) is a digital optical disc data storage format that was co-developed by Philips and Sony and released in 1982. 

These are actually made to replace floppy disks that were used to store files and programs from the computer.

 

The format was originally developed to store and play only sound recordings but was later adapted for storage of data (CD-ROM).ese CD's uses Laser technology.

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5 4962
Q:

If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ?

A) 17.25 % B) 18.14 %
C) 18.33 % D) 17.35 %
 
Answer & Explanation Answer: C) 18.33 %

Explanation:

We know that I = PTR/100

11 = (2x30xR)/100

R = 18.333 %

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Filed Under: Simple Interest
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3 4960
Q:

Choose the synonym of 'Maelstrom' from the following given words ?

A) Congregation B) Thunder
C) Miracle D) Turmoil
 
Answer & Explanation Answer: D) Turmoil

Explanation:

'Maelstrom' refers to a violent and confused state. The word closest in meaning would be 'turmoil', which also means a state of great disturbance.

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Filed Under: Analogy
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5 4957
Q:

It is 3 in the morning, you’re sleeping and you hear the doorbell. It’s your parents who show up for a surprise visit for breakfast. You’ve got the strawberry jam, honey, bread and cheese.
What do you open first?

A) open your door B) open your mouth
C) open the fridge D) open your eyes
 
Answer & Explanation Answer: D) open your eyes

Explanation:

As you were asleep, none of the things could have happened without doing "open your eyes" first.

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7 4953