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Q:

If log72 = m, then log4928 is equal to ?

A) 1/(1+2m) B) (1+2m)/2
C) 2m/(2m+1) D) (2m+1)/2m
 
Answer & Explanation Answer: B) (1+2m)/2

Explanation:

log4928 = 12log77×4

 

= 12+122log72
= 12+log72
= 12 + m
= 1+2m2.

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Filed Under: Logarithms
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Q:

The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?

A) 11 months B) 9 months
C) 7 months D) 10 months
 
Answer & Explanation Answer: D) 10 months

Explanation:

7x5: 5xk = 7:10
k = 10 months

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Filed Under: Partnership
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Q:

16 : 56 :: 32 : ?

A) 196 B) 148
C) 132 D) 112
 
Answer & Explanation Answer: D) 112

Explanation:

16 : 56 :: 32 : ?

Let the required number be 'n'

The given numbers follow a logic that,

16/56 = 2/7

=> 32/n = 2/7

=> 32 x 7/2 = n

=> n = 112.

 

Hence, 16 : 56 :: 32 : 112.

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Filed Under: Ratios and Proportions
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50 14319
Q:

Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ?

A) 600 B) 300
C) 150 D) 75
 
Answer & Explanation Answer: A) 600

Explanation:

1/2:1/3:1/4 = 6:4:3

As the difference is 3

=> 3/13x2600 = 600

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Filed Under: Ratios and Proportions
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20 14273
Q:

What should come in place of x in the following equation?

 x128 = 162x

A) 13 B) 12
C) 17 D) 16
 
Answer & Explanation Answer: B) 12

Explanation:

x128 = 162x

 

Then x2 = 162x128

  

   = Sqrt of 82 x 62 x 32

 

   = 8 x 6 x 3

 

   x2  = 144.

 

 x  = 12.

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Filed Under: Square Roots and Cube Roots
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Q:

In an exam, a candidate secured 504 marks out of the maximum mark of 'M'. If the maximum mark 'M' is converted into 800 marks, he would have secured 384 marks. What is the value of 'M' ?

A) 910 B) 1000
C) 970 D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

504/M = 384/800

(504 x 800) / 384 = M

M = 1050

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Filed Under: Ratios and Proportions
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Q:

A can write 32 pages in 6 hours and B can write 40 pages in 5 hours. If they write together, in how many hours they can write 110 pages ?

A) 7 hrs B) 6 hrs 10 min
C) 5 hrs 25min D) 8 hrs 15 min
 
Answer & Explanation Answer: D) 8 hrs 15 min

Explanation:

A can write in 1hour = 32/6 pages

Similarly, B in 1 hour = 40/5 pages

Together (A+B) in 1 hour = 32/6 + 40/5 = 40/3

So, A+B write 40/3 pages in 1 hour

A+B write 110 pages in (3/40) x 110 Hours = 8 hours 15 min.

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Filed Under: Time and Work
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8 14235
Q:

A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ?

A) 14 days B) 18 days
C) 21 deays D) 16 days
 
Answer & Explanation Answer: A) 14 days

Explanation:

Let A worked for x days.

x/21 + 4/28 = 1  => x = 18

 

A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

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Filed Under: Time and Work
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