Aptitude and Reasoning 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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Filed Under: Statement and Conclusions
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22 91370
Q:

How many of the following numbers are divisible by 132?

264,396,462,792,968,2178,5184,6336

A) 4 B) 5
C) 6 D) 7
 
Answer & Explanation Answer: A) 4

Explanation:

132 = 4 x 3 x 11, So if the number is divisible by all three numbers 4,3 and 11,then the number is divisible by 132 also.
264   => 4,3,11(/)
396   => 4,3,11(/)
462   => 11,3
792   => 4,3,11(/)
968   => 11,4
2178 => 11,3
5184 => 3,4
6336 => 4,3,11(/)
Required number of numbers=4.

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Filed Under: Numbers

32 91315
Q:

If a+b=5 and 3a+2b=20,then (3a+b)will be :

 

A) 20 B) 15
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

a+b=5   ...(1)    and    3a+2b=20 ...(2)

 

Multiplying (1) by 2 and subtracting from (2), we get : a=10.

 

Putting a=10 in (1), we get : b=-5

 

Therefore,   (3a+b) = 3 x 10+(-5)=30-5=25.

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Filed Under: Simplification
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24 91257
Q:

If P means '÷', Q means '+', R means '-' and S means 'x', then the value of

10 R 192 P 48 S 48 P 96 Q 1

 

A) 10 B) 9
C) 8 D) 7
 
Answer & Explanation Answer: B) 9

Explanation:
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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

7 91006
Q:

If Rs. 782 be divided into three parts, proportional to 12:23:34, then the first part is?

A) Rs. 182 B) Rs. 190
C) Rs. 192 D) Rs. 204
 
Answer & Explanation Answer: D) Rs. 204

Explanation:

Rs.782*623

Given ratio =12:23:34= 6:8:9

1st part = Rs.782*623 = Rs. 204

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Filed Under: Ratios and Proportions

377 90717
Q:

Find the odd one out?

6, 3, 3, 4.5, 10

A) 3 B) 4.5
C) 6 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

Here the given number series is 6, 3, 3, 4.5, 10

The odd one in the given series is 10

The pattern it follows is

6

6 x 0.5 = 3

3 x  1  = 3

3 x 1.5 = 4.5

4.5 x 2 = 9

 

Hence, the odd number is 10.

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7 90141
Q:

The average of 7 consecutive numbers is 20. The largest of these numbers is :

A) 21 B) 22
C) 23 D) 24
 
Answer & Explanation Answer: C) 23

Explanation:

Let the numbers be x, x + 1, x + 2,  x + 3, x + 4, x + 5 and x + 6,

Then   (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 20.

or  7x + 21 = 140 or 7x = 119 or x =17.

Latest number = x + 6 = 23.

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Filed Under: Average

257 90113
Q:

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

12, 16, 32, 68, ?

A) 198 B) 164
C) 132 D) 118
 
Answer & Explanation Answer: C) 132

Explanation:

Given series is 

 

12        16         32          68         ?

 

Here it follows a pattern that,

 

12

 

12 + (2x2) = 16

 

16 + (4x4) = 32

 

32 + (6x6) = 68

 

68 + (8x8) = 132

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Filed Under: Odd Man Out
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7 90105