17
Q:

The average age of 7 boys is increased by 1 year when one of tem whose age is replaced by a girl. What is the age of the girl ?

A) 33 yrs B) 27 yrs
C) 21 yrs D) 29 yrs

Answer:   D) 29 yrs



Explanation:

Let the avg age of 7 boys be 'p' years
Let the age of the girl be 'q' years
From given data,
The age of 7 boys = 7p years
Now the new average = (p + 1) when 22 yrs is replaced by q
Now the age of all 7 will become = 7(p + 1) yrs
Hence, 7p - 22 + q = 7(p + 1) yrs
7p - 22 + q = 7p + 7
q = 22 + 7 = 29

Therefore, the age of girl = q = 29 years.

Subject: Average
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Q:

The standard deviation of the set {10, 10, 10, 10, 10} is

A) 0 B) 1
C) 5 D) 10
 
Answer & Explanation Answer: A) 0

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11 1330
Q:

If the average of 31, x, 42, 39, 56, 78, 83 and 91 is 58.5, then what is the value of x?

 

A) 26 B) 34
C) 58 D) 48
 
Answer & Explanation Answer: D) 48

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6 17529
Q:

The mode and median of the data 8, 6, 8, 7, 8, 6, 8, 7, 6 is

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

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5 1400
Q:

The mean of the data 1, 2, 10, 18, 3, 17, 19 is

A) 7 B) 10
C) 17 D) 70
 
Answer & Explanation Answer: B) 10

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2 863
Q:

If the average age of 20 students in Class-I is 10 years and average age of 25 students in Class II is 12 years, find the average age (in years) of all students.

A) 11 B) 11.111
C) 10.50 D) 10.85
 
Answer & Explanation Answer: B) 11.111

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2 1446
Q:

20 pens and 46 pencils were purchased for Rs. 235. If the average price of a pencil is Rs. 2.50 then calculate the average price (in Rs.) of a pen.

A) 6 B) 4
C) 8 D) 12
 
Answer & Explanation Answer: A) 6

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4 1177
Q:

The average of two numbers is 10 and the product of two numbers is 96. Find the two numbers.

 

 

A) 3, 32 B) 12, 8  
C) 1, 96   D) 24, 4
 
Answer & Explanation Answer: B) 12, 8  

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2 17419
Q:

Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?

 

A) 301 : 60   B) 7 : 3  
C) 39 : 11   D) 60 : 207
 
Answer & Explanation Answer: A) 301 : 60  

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