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Mathematical Reasoning

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Question
SSCCGLENRSN12046004
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2 litre of pure alcohol is  added to 6 litre, 40% alcohol solution. The percentage of water in the  solution is:

  • 65%

  • 45%

  • 55%

  • 60%

Solution

B.

45%

Amount of alcohol in 6 litres of solution

space equals space 6 space straight x space 40 over 100 space equals space 2.4 space litres
Amount of water in 6 litres of solution
 =6 - 2.4 = 3.6 litre

Now, the added amount of alcohol in 6 litres solution is 2 thus, amount of alcohol in 8 litres of solution = 2.4+2 = 4.4
Amount of water in 8 litres of solution = 3.6 litre
therefore, % of water in the solution = fraction numerator 3.6 over denominator 8 end fraction space straight x space 100
= 45%

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Question
SSCCGLENRSN12046203
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A and B are standing at a place 'P'. They start moving in the opposite directions at the speed of 5 Kmph and 4 Kmph respectively. What will be the distance between them after 3 hours

  • 3 kms

  • 21 kms

  • 18 kms

  • 27 kms

Solution

D.

27 kms

Required distance =  3x (5 +4)

 = 3 x 9

= 27 km

Question
SSCCGLENRSN12045878
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A man is engaged for planting trees for 10 hours. He plants 10 trees in an hour. He Takes rest for 30 min after every hour. How many trees does he plant in 10 hours.

  • 100

  • 50

  • 70

  • 45

Solution

C.

70

Man plants trees in 1 hour = 10
A man takes rest for 30 min.

So, the man plants 10 trees in 1 hour 30 min
Man will plant trees in (1.5 x 6) = 9 = 6 x 10 = 60
therefore, man will plant trees in 10 hours = 60+10 = 70

Question
SSCCGLENRSN12046003
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A person while buying a dress on sale spends Rs. 45/- and saves Rs 5/-, what is the percentage of his savings?

  • 5%

  • 10%

  • 15%

  • 20%

Solution

B.

10%

Required percentage,

fraction numerator 5 over denominator 45 plus 5 end fraction space straight x space 100 space equals space 500 divided by 50 space space equals space 10 percent sign

Question
SSCCGLENRSN12046279
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Anil is as much younger to Vivek as he is older to Tarun. If the total of the ages of Vivek and Tarun is 48 years, how old is Anil?

  • 26

  • 33

  • 24

  • 18

Solution

C.

24

Suppose, Anil (A) is x years younger to vivek (V)
Now,
A = V -x
A = T +x
A + A = V-x+T+x
2A = V +T = 48
A = 48/2 = 24 years

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