Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

61.

Three angles of a quadrilateral are 60°, 90° and 100°. Then the fourth angle of the quadrilateral is:

  • 95°

  • 100°

  • 110°

  • 115°


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63.

The value of fraction numerator 3 space cross times space 9 to the power of straight n plus 1 end exponent space plus space 9 space cross times space 3 to the power of 2 straight n minus 1 end exponent over denominator 9 space cross times space 3 to the power of 2 straight n end exponent space minus space 6 space cross times space 9 to the power of straight n minus 1 end exponent end fraction is equal to

  • 3 3 over 5

  • 3 2 over 5

  • 3 1 fifth

  • 3


A.

3 3 over 5

fraction numerator 3 space cross times space 9 to the power of straight n plus 1 end exponent space plus space 9 space cross times space 3 to the power of 2 straight n minus 1 end exponent over denominator 9 space cross times space 3 to the power of 2 straight n end exponent space minus space 6 space cross times space 9 to the power of straight n minus 1 end exponent end fraction space equals space fraction numerator 3 space cross times space 3 to the power of 2 straight n plus 2 end exponent space plus space 9 space cross times space 3 to the power of 2 straight n minus 1 end exponent over denominator 9 space cross times space 3 to the power of 2 straight n end exponent space minus space 6 space cross times space 3 to the power of 2 straight n minus 2 end exponent end fraction
equals space fraction numerator 3 space cross times space 3 to the power of 2 straight n end exponent space open square brackets 3 squared space plus space 3 space cross times space 3 to the power of negative 1 end exponent close square brackets over denominator 3 space cross times space 3 to the power of 2 straight n end exponent space left square bracket 3 space minus 2 space cross times space 3 to the power of negative 2 end exponent right square bracket end fraction
equals space fraction numerator 9 plus 1 over denominator 3 minus begin display style 2 over 9 end style end fraction space equals space fraction numerator 10 space cross times space 9 over denominator 27 minus 2 end fraction space equals space 18 over 5 space equals space 3 3 over 5


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64.

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?

  • 52 years

  • 48 years

  • 62 years

  • 54 years


65.

If a + b = 3 then the value of a3 + b3 + 9ab - 27 is

  • 24

  • 25

  • 0

  • 27


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66.

If straight x space plus space 1 over straight x space equals space 2 comma then the value of straight x to the power of 7 space plus space 2 over straight x to the power of 6 is equal to

  • 0

  • 1

  • 2

  • 3


68.

In a ΔPQR,  S and T are the points on PQ and PR respectively, such that ST || QR and PS over SQ space equals space 3 over 5, PR = 6cm, then PT is

  • 2 cm

  • 2.25 cm

  • 3.5 cm

  • 4 cm


69.

If 5 space sin squared straight theta space plus space 4 space cos squared straight theta space equals space 9 over 2 and 0 less than straight theta less than straight pi over 2 then tan θ is equal to:

  • 1

  • 0

  • -1

  • 1/4


72.

The pie chart drawn below shows the spendings of a country on various sports during a particular year. Study the pie-chart and answer the questions.

The ratio of the amount spent on football, basketball and cricket to that spent on tennis, hockey and golf is:

  • 5 : 7

  • 7 : 5

  • 15 : 1

  • 3 : 20


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73.

The pie chart drawn below shows the spendings of a country on various sports during a particular year. Study the pie-chart and answer the questions.

If the total amount spent on sports during the year was Rs 1,20,00,000/-, how much was spent on basketball?

  • Rs 9,50,000

  • Rs 10,00,000

  • Rs 12,00,000

  • Rs 15,00,000


74.

The pie chart drawn below shows the spendings of a country on various sports during a particular year. Study the pie-chart and answer the questions.

Total central angle showing the money spent on hockey, football and other during the yer was:

  • 104°

  • 244°

  • 96°

  • 144°


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