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Capgemini Quants Questions




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Q #11
:


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Quants Question

Directions: Refer the following data to answer the questions given below.

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

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S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.

C.P. of 1 kg of the mixture = Rs.{100/110}x 68.20= Rs. 62   


Q #12
:


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Quants Question

Directions: Read the following information to answer the question.

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

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Explanation :

 A's 1 hour's work =1/4

 ; (B + C)'s 1 hour's work =1/3

 ; (A + C)'s 1 hour's work =1/2

 (A + B + C)'s 1 hour's work =1/4+1/3

 =7/12

 (A + B + C)'s 1 hour's work =1/4+1/3=7/12

 B's 1 hour's work =7/12-1/2 =1/12

  B alone will take 12 hours to do the work.


Q #13
:


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Quants Question

Directions: Read the following information to answer the question.

A can do a piece of work in 10 days; B in 15 days. They work for 5 days. The rest of the work was finished by C in 2 days. If they get Rs. 1500 for the whole work, the daily wages of B and C are:

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Explanation :

 Part of the work done by A ={1/10}x 5=    1/2

 Part of the work done by B ={1/15}x 5=1/3

 Part of the work done by C = 1 -    1/2+1/3=1/6

 So, (A’s share) : (B’s share) : (C’s share) =1/2:1/3:1/6 = 3 : 2 : 1     

 A's share = Rs{.3/6}x 1500= Rs. 750, B's share = Rs.{2/6}x 1500 = Rs. 500.     

 C's share = Rs.{1/6}x 1500 = Rs. 250.         

 A’s daily wages = Rs.750/5

  = Rs. 150, B's daily wages = Rs.    500/5 = Rs. 100.     

 C’s daily wages = Rs.250/2

  = Rs. 125.         

 Daily wages of B and C = Rs. (100 + 125) = Rs. 225.


Q #14
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Quants Question

Directions: Read the following information to answer the question.

A is behind B by 60m. A & B are running at speed of 17m/s & 13m/s constantly. After how much time the distance between A & B will be 24m?

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The time the distance between A & B will be 24m at two times when A has covered relative distance of 36m or 84m. 

84/(17-13) = 21s


Q #15
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Quants Question

Directions: Read the following information to answer the question.

Two persons are walking in the same direction at rates 3 km/ hr and 6 km/hr. A train comes running from behind and passes them in 9 and 10 seconds. The speed of the train is

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Let, speed of train = x km/hr 

 

Relative speed while crossing 1st person = 5 ( x 3) 18

 

Distance = length of train = 5 ( x 3)× 9 ··· (I) 18

Relative speed while crossing 2nd person

 

= 5 ( x − 6) 18

 

Distance = length of train =

5

( x − 6)×10

···(II)

 
   
   

18

     

From equation (I) & (II) we get

     
 

5

( x − 3)× 9 =

5

( x − 6)×10

or  9x – 27 = 10x – 60

 

18

   

18

         

x = 33 km/hr