GATE Questions

Q:

Question :

In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?

Statements :

a. The captain is eleven years older than the youngest player.

b. The average age of 10 players, other than the captain is 27.3 years.

c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

A) All a,b and c follows B) Only a and c follows
C) Either b alone or a & b follows D) None
 
Answer & Explanation Answer: C) Either b alone or a & b follows

Explanation:

From statement (b)
Average of 11 players = 11 x 28 = 308
Average of 10 players = 10 x 27.3 = 273
Age of captain = 308 - 273 = 35.

From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers age
From the statement (c),the averge age of 3groups of 3players each was given,
It means total 9 players age was given indirectly,
1st group: 25 x 3 = 75
2nd group: 28 x 3 = 84
3rd group: 30 x 3 = 90
Total  is 75 + 84 + 90 = 249
Now {C + Y + (9 players age sum)}/11 = 28
Y + 11 + Y + (249) = 28 x 11=308
2Y+260=308
2Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35

Therefore, statement b alone or a & c only is the answer.

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12 65917
Q:

What should come in place of question mark (?) in the following number series?

38, 195, ?, 4905, 24530, 122655

A) 980 B) 885
C) 824 D) 1021
 
Answer & Explanation Answer: A) 980

Explanation:

The given series follows the pattern that,

 

×5+5,   ×5+5,   ×5+5,   ×5+5,   ×5+5

 

38 x 5 + 5  = 195

 

195 x 5 + 5 = 980

 

980 x 5 + 5 = 4905

 

4905 x 5 + 5 = 24530

 

24530 x 5 + 5 = 122655

 

So the missing number is 980 .

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7 65201
Q:

Find the next number in the given number series?

2, 3, 7, 16, 32, ?

A) 49 B) 52
C) 54 D) 57
 
Answer & Explanation Answer: D) 57

Explanation:

The given number series is 2, 3, 7, 16, 32, ?

 

22 + 12 = 33 + 22 = 77 + 32 = 1616 + 42 = 3232  + 52 = 57

Hence, the next number in the given number series is 57.

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11 64981
Q:

In the following number series only one number is wrong. Find out the wrong number ?

6, 15, 35, 63, 143, 221, 323

A) 143 B) 63
C) 323 D) 35
 
Answer & Explanation Answer: B) 63

Explanation:

Here the series follows the pattern that, product of succesive prime numbers i.e,

 2 × 3 = 6

 3 × 5 = 15

 5 × 7 = 35

 7 × 11 = 77

 11 × 13 = 143

 13 × 17 = 221

 17 × 19 = 323

So here in place of 77 the number 63 is written.

So the wrong number is 63.

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7 64677
Q:

What will come in place of the question mark (?) in the following number series  ?

12, 24, 26.5, 79.5, ?, 330

A) 211 B) 101.5
C) 82.5 D) 99
 
Answer & Explanation Answer: C) 82.5

Explanation:

The given series 

 

12   24   26.5   79.5   ?   330 follows a pattern that,

 

12 x 2 = 24

 

24 + 2.5 = 26.5

 

26.5 x 3 = 79.5

 

79.5 + 3 = 82.5

 

82.5 x 4 = 330

 

Hence, the missing number is 82.5

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9 64669
Q:

Lethargic : Vital :: Trite : ?

A) Unique B) Slug
C) Lazy D) Skinny
 
Answer & Explanation Answer: A) Unique

Explanation:

Lethargic means "sluggish", kind of inactive

Vital means full of energy, lively

So, they are antonyms.

So, for the 2nd part of the analogy, you are looking for a antonym to trite

Trite means lacking originality or freshness. Overused. Kind of like a cliche

So, an antonym could be original, unique, innovative.

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117 64404
Q:

194, 194, 191, 183, 168, ?

Find the next number in the above series? 

A) 154 B) 156
C) 144 D) 143
 
Answer & Explanation Answer: C) 144

Explanation:

Here the series follows,

194

194 - (1x1 - 1) = 194

194 - (2x2 - 1) = 191

191 - (3x3 - 1) = 183

183 - (4x4 - 1) = 168

168 - (5x5 - 1) = 144

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15 63887
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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Filed Under: Calendar
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417 63274