GATE Questions

Q:

What is the next number in the given Number Series?

5, 24, 94, 279, ?

A) 587 B) 554
C) 489 D) 499
 
Answer & Explanation Answer: B) 554

Explanation:

The given number series follows a pattern that

5 x 5 – 1 = 24

24 x 4 – 2 = 94

94 x 3 – 3 = 279

279 x 2 – 4 = 554

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14 57956
Q:

The missing number in the Series

114, 131, 165, 216,  ?, 369

 

A) 314 B) 304
C) 294 D) 284
 
Answer & Explanation Answer: D) 284

Explanation:

114       131     165     216     ?      369

   +17      +34     +51     +68    +85

 

=> The missing number in the given Number series = 216 + 68 = 284.

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7 57892
Q:

Find the odd term from the given series of numbers  ?

125, 127, 130, 135, 142, 153, 165 ?

A) 153 B) 165
C) 142 D) 127
 
Answer & Explanation Answer: B) 165

Explanation:

From the beginning, the next term comes by adding prime numbers in a sequence of 2, 3, 5, 7, 9, 11, 13... to its previous term. But 165 will not be in the series as it must be replaced by 166 since 153+13 = 166.

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24 57250
Q:

What was the day of the week on 17th June, 1998 ?

A) Monday B) Tuesday
C) Wednesday D) Friday
 
Answer & Explanation Answer: C) Wednesday

Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March. April. May. June.
(31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday.

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352 57194
Q:

Find the odd number in the following number series?

24, 4, 13, 41, 151, 640

A) 4 B) 640
C) 41 D) 13
 
Answer & Explanation Answer: C) 41

Explanation:

The given number series follows the pattern that,

 

24×0 + 4  = 4  

 

4×1  + 9   = 13

 

13×2 + 16 = 42

 

42×3 + 25  = 151

 

151×4 + 36 =  640

 

Therefore, the odd number in the given series is 41

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27 57138
Q:

'Rhythm of eyes' city name in India?

A) Chennai B) Nainital
C) Srinagar D) Karnataka
 
Answer & Explanation Answer: B) Nainital

Explanation:

'Rhythm of eyes' logically means Nainital in India.

 

The other cities are:

No Zip - Chennai

Mr. City - Srinagar

Do Acting - Karnataka.

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289 56234
Q:

A milkman purchases the milk at Rs. x per litre and sells it at Rs. 2x per litre still he mixes 2 litres water with every 6 litres of pure milk. What is the profit percentage?

A) 116% B) 166.66%
C) 60% D) 100%
 
Answer & Explanation Answer: B) 166.66%

Explanation:

Let the cost price of 1-liter pure milk be Re.1, then 

 6 liters (milk)   C.P = Rs. 62 liters (water)  C.P = Rs. 0CP = Rs.6 only

 

8 litre mixture  =>

SP =>  8 x 2 = Rs. 16

 

Profit % = 16 - 66x100 = 10006 = 166.66%

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382 56181
Q:

25% of 25% Is Equal To

 

A) 0.0625 B) 0.0210
C) 0.03145 D) 0.3210
 
Answer & Explanation Answer: A) 0.0625

Explanation:

25% of 25% means

 

 

 

25/100 of 25/100

 

 

 

i.e, 1/4 of 1/4

 

 

 

or in other words 1/4 x 1/4=1/16

 

 

 

Hence, the answer is 1/16 = 0.0625.

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47 55229