GATE Questions

Q:

Find the missing term in the following series ?

10000, 11000, 9900, 10890, ?, 10781

A) 10423 B) 9801
C) 10241 D) 9712
 
Answer & Explanation Answer: B) 9801

Explanation:

Clearly, alternatively we add and subtract 10% of a term to obtain the next term of the series.
Thus, 10000 + (10% of 10000)= 11000;
11000 - (10% of 11000) = 9900;
 9900 + (10% of 9900)  = 10890;
10890 - (10% of 10890) = 9801.
 9801 + (10% of 9801)  = 9801+980 = 10781.
So, missing term = 10890- (10% of 10890)= 9801.

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90 41720
Q:

A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ?

A) 20 km B) 16 km
C) 14 km D) 10 km
 
Answer & Explanation Answer: D) 10 km

Explanation:

Let distance = x km.
Time taken at 3 kmph : dist/speed = x/3 = 20 min late.
time taken at 4 kmph : x/4 = 30 min earlier
difference between time taken : 30-(-20) = 50 mins = 50/60 hours.
x/3- x/4 = 50/60
x/12 = 5/6
x = 10 km.

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56 41394
Q:

Find out the wrong term in the following number series.

4, 16, 37, 58, 81.

A) 16 B) 37
C) 81 D) 4
 
Answer & Explanation Answer: C) 81

Explanation:

The series follows the following pattern.

 

4

 

16 = 42

 

37 = 12+62

 

58 = 32+72

 

81 52+82.

 

Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.

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5 41186
Q:

Find the missing number in the series

1, 6,  ?, 15, 45, 66, 91

A) 24 B) 28
C) 32 D) 26
 
Answer & Explanation Answer: B) 28

Explanation:

Here the given series 1, 6,  ?, 15, 45, 66, 91 follows a

Pattern in the series is, +5, +9, +13,...,.. +21, +25

So +4 is getting increased at every term addition.

Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.

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7 41126
Q:

Transition : Change :: Immobility :  ?

A) Stillness B) Liveliness
C) Action D) Busyness
 
Answer & Explanation Answer: A) Stillness

Explanation:

Given Transition is to Change, and we know that Transition and change are Synonyms. Similarly, Immobility means not moving and synonym of immobility are motionlessness, stillness,...

 

Hence, Transition is to change as immobility is to stillness.

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37 40950
Q:

7 is to 34 as 5 is to

A) 33 B) 24
C) 54 D) 41
 
Answer & Explanation Answer: D) 41

Explanation:

We can get this by any of two explanations.

 

Answer 1: 41

7 = 3 + 4  = 34

Similarly, 5 = 4 + 1  = 41

 

Answer 2 :  41

7 - 3 = 4  => 34

Similarly, 5 - 4 = 1  => 41

 

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120 40928
Q:

Find the odd one out of the floowing number series?

270, 261, 279, 252, 289, 243

A) 270 B) 279
C) 289 D) 243
 
Answer & Explanation Answer: C) 289

Explanation:

Here the given number series is 270, 261, 279, 252, 289, 243

270 - 9 = 261

261 + 18 = 279

279 - 27 = 252

252 + 36 = 288 (not equals to 289)

288 - 45 = 243

 

Hence, the odd number in the given number series is 289.

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5 40656
Q:

3, 11, 80, 291, 803

Find the odd man out of the number series?

A) 11 B) 803
C) 80 D) 291
 
Answer & Explanation Answer: C) 80

Explanation:

The given number series is 3, 11, 80, 291, 803

33 + 23 = 3 + 8 = 1111 + 43 = 11 + 64 = 75 (not 80)75 + 63 = 75 + 216 = 291291 + 83 = 291 + 512 = 803

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3 40264