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HCL 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.

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

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Given that

Mixture worth is Rs 6.30

Rice 1= Rs.7.20           Rs .90 >mixture

Rice 2=Rs.5.70            Rs .60 < mixture

L.C.M between these two is 1.8

Rice 1=2  , Rice 2=3

The ratio is 2:3


Q #12
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Quants Question

Directions: Read the following information to answer the question.

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days. A lone can finish the remaining work?

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Explanation :

 B's 10 day's work =1/15 x 10 =2/3

 Remaining work =1 -2/3=1/3

 Now,1/18 work is done by A in 1 day.     

1/3 work is done by A in    18 x1/3

  = 6 days.


Q #13
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Quants Question

Directions: Read the following information to answer the question.

A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in:

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Explanation :

 (A + B)'s 2 days' work =    1/16+1/12=7/48

 work done in 6 pairs of days ={7/48} x 6    =7/8

. Remaining work =1-7/8=1/8

 Work done by A on 13th day =    1/16

  Remaining work =1/8-1/16=1/16

 On 14th day, it is B’s turn.

 1/12  Work is done by B in 1 day.   

1/16work is done by B in12 x{1/16}=3/4 day                 

   Total time taken 55/4 days.


Q #14
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Quants Question

Directions: Read the following information to answer the question.

X and Y start from the same point and run around a circular stadium, whose circumference is 4200 m, at the rate of 500 m and 700 m per minute respectively in the opposite directions. They will meet each other in:

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D = s × t                               

A.T.S. 500    × t + 700 × t = 4200           

 

∴  t = 3.5 minutes


Q #15
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Quants Question

Directions: Read the following information to answer the question.

A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph relay. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?

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If A travels a distance x before meeting, B travels 27 + 27 – x = 54 – x.

Since the distances are traveled in the same time.

x/(54 – x) = 5/7.⇒ x = 22.5 Km.