729 mL of a mixture contains milk and water in the ratio 7 : 2. H

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

124.

10% discount and then 20% discount in succession is equivalent to total discount of

  • 15%

  • 24%

  • 30%

  • 28%


125.

18 yr ago, the ratio of A's age to B's age was 8 : 13. Their present ratios are 5 : 7. What is the present age of A?

  • 70 yr

  • 60 yr

  • 40 yr

  • 50 yr


126.

In certain years a sum of money is doubled itself at 6 1 fourth percent sign simple interest per annum, then the required time will be

  • 16 yr

  • 10 2 over 3 yr

  • 12 1 half yr

  • 8 yr


127.

If x = 332,  y = 333,   z = 335,  then the value of x3 + y3 + z3 - 3xyz is

  • 10000

  • 7000

  • 9000

  • 8000


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128.

Walking at the rate of 4 km/h a man covers certain distance in 2 h 45 min. Running at a speed of 16.5 km/h the man will cover the same distance in how many minutes?

  • 45

  • 50

  • 40

  • 35


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129.

729 mL of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7 : 3?

  • 52 mL

  • 60 mL

  • 71 mL

  • 81 mL


D.

81 mL

Quantity of mixture  =  729 mL,   Milk : Water = 7 : 2
   Quantity of milk:
           space equals space fraction numerator 7 over denominator 7 plus 2 end fraction space cross times space 729 space equals space 7 over 9 space cross times space 729 space equals space 567 space mL
∴  Water = 729 - 567 = 162 mL
Let x water be added for new mixture:
 rightwards double arrow space space space fraction numerator 567 over denominator 162 plus straight x end fraction space equals space 7 over 3 space space
rightwards double arrow space space 81 space cross times space 3 space equals space 162 space plus space straight x
rightwards double arrow space space space 243 space equals space 162 space plus space straight x
rightwards double arrow space space space straight x space equals space 243 space minus space 162 space equals space 81 space mL space space
∴  Quantity of water to be added = 81 mL

          


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130.

What is the Arithmetic mean of the first n natural numbers?

  • fraction numerator straight n squared left parenthesis straight n plus 1 right parenthesis over denominator 2 end fraction

  • fraction numerator straight n plus 1 over denominator 2 end fraction

  • 2(n+1)

  • fraction numerator straight n left parenthesis straight n plus 1 right parenthesis over denominator 2 end fraction


131.

A tap can empty a tank in 30 min. A second tap can empty it in 45 min. If both the taps operate simultaneously, how much time is needed to empty the tank?

  • 30 min

  • 14 min

  • 15 min

  • 18 min


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132.

The population of a town increases by 5% every year. If the present population is 9261, the population 3 yr ago was

  • 8000

  • 7500

  • 5700

  • 6000


136.

The value of fraction numerator 1 over denominator square root of 7 minus square root of 6 end fraction space minus space fraction numerator 1 over denominator square root of 6 begin display style minus end style begin display style square root of 5 end style end fraction plus fraction numerator 1 over denominator square root of 5 begin display style minus end style begin display style 2 end style end fraction minus fraction numerator 1 over denominator square root of 8 begin display style minus end style begin display style square root of 7 end style end fraction plus fraction numerator 1 over denominator 3 minus square root of 8 end fraction

  • 5

  • 1

  • 0

  • 7


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