If x = 332,  y = 333,   z = 335,  then the va

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


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127.

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

  • 10000

  • 7000

  • 9000

  • 8000


B.

7000

straight a cubed space plus space straight b cubed space plus space straight c cubed space minus space 3 abc space equals space 1 half open square brackets open parentheses straight a plus straight b plus straight c close parentheses open square brackets left parenthesis straight a minus straight b right parenthesis squared space plus space left parenthesis straight b minus straight c right parenthesis squared space plus space left parenthesis straight c minus straight a right parenthesis squared close square brackets space close square brackets

equals space 1 half open square brackets left parenthesis 332 space plus space 333 space plus space 335 right parenthesis space open square brackets left parenthesis 332 minus 333 right parenthesis squared space plus space left parenthesis 333 minus 335 right parenthesis squared space plus space left parenthesis 335 minus 332 right parenthesis squared close square brackets close square brackets
equals space 1 half open square brackets 1000 space open square brackets left parenthesis negative 1 right parenthesis squared space plus space left parenthesis negative 2 right parenthesis squared space plus space left parenthesis 3 right parenthesis squared close square brackets close square brackets
equals space 1 half open square brackets 1000 space cross times space 14 close square brackets
equals space 7000


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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


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


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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