GATE Questions

Q:

A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is ?

A) 45/7 % B) 50/9 %
C) 51/7 % D) 47/ 9 %
 
Answer & Explanation Answer: B) 50/9 %

Explanation:

Let sum = S. Then, amount = 7S/6

S.I. = 7S/6 - S = S/6; Time = 3 years.

Rate = (100 x S) / (S x 6 x 3) = 5 5/9 = 50/9 %.

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Filed Under: Simple Interest
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27 29948
Q:

Brightness of bulb depends on voltage or current?

A) Current B) Voltage
C) Both A & B D) None
 
Answer & Explanation Answer: C) Both A & B

Explanation:

Brightness of bulb depends on both voltage and current. The brightness depends on power.

Since we know that  Power (P) = Voltage x Current = V I

So whether you increase the current or the voltage the brightness will increase.

 

Example Illustration:

 If you connect a long bulb and a round bulb in series, the long bulb glows but the round bulb does not. Both of them have the same current flowing through them (they are in series) but the long bulb has a greater voltage across it because it has more resistance (even though V= IR is not obeyed exactly, voltage drop does depend on the resistance). If you connect a round bulb and a long bulb in parallel, however, it is the round bulb that is brighter because now the voltage across both bulbs is the same but the current is larger through the round bulb (smaller resistance).

 

Hence, the brightness of a bulb depends on power i.e, both voltage and current.

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Filed Under: Physics
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32 29858
Q:

What should come next in the following number series?

9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1

A) 9 B) 8
C) 7 D) 6
 
Answer & Explanation Answer: D) 6

Explanation:

Here the series is:

 

987654321, 87654321, 7654321, 65...

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28 29561
Q:

If today is Saturday, what will be the day 350 days from now  ?

A) Saturday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: A) Saturday

Explanation:

350 days = (350/7=50 weeks) i.e  No odd days,

 So it will be a Saturday.

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Filed Under: Calendar
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93 29466
Q:

The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is :

A) Rs. 560 B) Rs. 530
C) Rs. 500 D) Rs. 514
 
Answer & Explanation Answer: C) Rs. 500

Explanation:

110% of S.P. = Rs. 616

S.P. = (616 x 100)/110 = Rs. 560

C.P = (110 x 560)/112 = Rs. 500

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Filed Under: Profit and Loss
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65 29242
Q:

2 is to 55 as 6 is to

A) 99 B) 44
C) 9 D) 33
 
Answer & Explanation Answer: A) 99

Explanation:

Given 2 is to 55

2 + 3 = 5 

5 x 11 = 55

Similarly, 6

6 + 3 = 9

9 x 11 = 99

 

Hence, 2 is to 55 as 6 is to 99.

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Filed Under: Analogy
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19 29187
Q:

5 C in an OF?

A) 5 Cards in an Old Fan B) 5 Circles in an Olympic Flag
C) 5 Colors in an Old Football D) 5 Colors in an Old Flag
 
Answer & Explanation Answer: B) 5 Circles in an Olympic Flag

Explanation:

5 C in an OF denotes 5 Circles in an Olympic Flag.

These are riddles of type

12 S of the Z

52 W in a Y.

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192 29145
Q:

If E = 5 and READ is coded as 7, then what is the code of 'DEAR' ?

A) 6 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: B) 7

Explanation:

Here E = 5 = 5/1 = 5

=> READ = 18 + 5 + 1 + 4 = 28/4 = 7

=> DEAR = 4 + 5 + 1 + 18 = 28/4 = 7

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Filed Under: Coding and Decoding
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110 28803