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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 & Explanation 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.

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

∆DEF is right angled at E. If m∠F = 45°, then find the value of (tanD - √3/2).

 

A) -√3/2 B) -1/2√3
C) (2-√3)/2 D) (3√3-1)/3
 
Answer & Explanation Answer: C) (2-√3)/2

Explanation:
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Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

 

6 x 18 + 40 ÷ 30 - 10 = 20

 

A) + and x B) + and ÷
C) - and + D) ÷ and x
 
Answer & Explanation Answer: A) + and x

Explanation:
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Q:

A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?

A) Rs. 3600 B) Rs. 3800
C) Rs. 3900 D) Rs. 3700
 
Answer & Explanation Answer: C) Rs. 3900

Explanation:

Area = (l + b – d) d

= (80 + 60 – 10)10

=> 1300 sq.mts

=> 1300 x 3 = Rs.3900

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Filed Under: Area
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Q:

Given that (a2 + b2) = 60, then find the value of (a + b)2 + (a - b)2 ?

 

A) 90 B) 120
C) 140 D) 150
 
Answer & Explanation Answer: B) 120

Explanation:
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Filed Under: Simplification
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Q:

If a/b = 1/4, b/c = 1/8 and a = 2 then the value of c is -

 

A) 8 B) 16
C) 32 D) 64
 
Answer & Explanation Answer: D) 64

Explanation:
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Q:

What will be the value of that smallest positive integer N, such that 294N is an integer?

 

A) 2 B) 4
C) 6 D) 8
 
Answer & Explanation Answer: C) 6

Explanation:
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Q:

Every year before the festive season, a brand store increases the price of the product by 42% and then introduce two successive discount of 10% and 11% respectively. What is percentage loss and percentage gain ?

A) 3.25% loss B) 13.742% loss
C) 3.25% gain D) 13.742% gain
 
Answer & Explanation Answer: D) 13.742% gain

Explanation:

Let CP = 100,
42 % increase => SP = 142
10 % discount in SP => ((142 x 10)/100) = 14.2
So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.058
2nd SP = (127.8 - 14.058) = 113.742,
So finally CP = 100, SP = 113.742, => gain = 13.742%.

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Filed Under: Profit and Loss
Exam Prep: Bank Exams , CAT , GATE , GRE
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