Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

91.

An aeroplane when flying at a height of 5000m from the ground passes vertically above another aeroplane at an instant, when the angles of elevation of the two aeroplanes from the same point on the ground are 60° and 45° respectively. The vertical distance between the aeroplanes at that instant is

  • 5000 left parenthesis square root of 3 minus 1 right parenthesis space straight m
  • 5000 space left parenthesis 3 minus square root of 3 right parenthesis space straight m
  • 5000 open parentheses 1 minus fraction numerator 1 over denominator square root of 3 end fraction close parentheses straight m
  • 5000 open parentheses 1 minus fraction numerator 1 over denominator square root of 3 end fraction close parentheses straight m
1418 Views

92.

The angles of a triangle are in Arithmetic Progression. The ratio of the least angle in degrees to the number of radians in the greatest angle is 60 thin space colon space straight pi. The angles in degrees are

  • 30°,  60°, 90°

  • 35°, 55°, 90°

  • 40°, 50°, 90°

  • 40°, 50°, 90°

225 Views

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93.

The expression fraction numerator tan space 57 degree space plus space cot space 37 degree over denominator tan space 33 degree space plus space cot space 53 degree end fraction is equal to

  • tan space 33 degree space cot space 57 degree
  • tan space 57 degree space cot space 37 degree
  • tan space 33 degree space cot space 53 degree
  • tan space 33 degree space cot space 53 degree


B.

tan space 57 degree space cot space 37 degree
fraction numerator tan space 57 degree space plus space cot space 37 degree over denominator tan space 33 degree space plus space cot space 53 degree end fraction
equals space fraction numerator cot space 33 degree space plus space tan space 53 degree over denominator tan begin display style space end style begin display style 33 end style begin display style degree end style begin display style space end style begin display style plus end style begin display style space end style begin display style cot end style begin display style space end style begin display style 53 end style begin display style degree end style end fraction

                   open square brackets because space tan space left parenthesis 90 degree minus straight theta right parenthesis space equals space cot space straight theta comma space space space cot left parenthesis 90 degree minus straight theta right parenthesis space equals space tan space straight theta close square brackets
 equals space fraction numerator begin display style fraction numerator 1 over denominator tan space 33 degree end fraction end style space plus space tan space 53 degree over denominator tan space 33 degree space plus space begin display style fraction numerator 1 over denominator tan space 53 degree end fraction end style end fraction
equals space fraction numerator 1 plus space tan space 53 degree. space tan space 33 degree over denominator tan space 33 degree. space tan space 53 degree space plus space 1 end fraction space cross times space space fraction numerator tan space 53 degree over denominator tan space 33 degree end fraction
equals space tan space 53 degree comma space space cot space 33 degree
equals space cot space 37 degree comma space tan space 57 degree
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94.

The minimum value of sin2θ + cos2θ + sec2θ + cosec2θ + tan2θ + cot2θ is

  • 1

  • 3

  • 5

  • 5

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95.

If 2 space sin space open parentheses πx over 2 close parentheses space equals space straight x squared space plus space 1 over straight x squared comma then the value of open parentheses straight x minus 1 over straight x close parentheses is

  • -1

  • 2

  • 1

  • 1

134 Views

96.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years


Total number of mobiles of models A, B and E manufactured in 2007 was

  • 24,50,000

  • 22,75,000

  • 21,00,000

  • 21,00,000

67 Views

97.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years


For which models was the percentage variation in production from 2007 to 2008 the maximum?

  • B and C

  • C and D

  • D and E

  • D and E

61 Views

98.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years


What was the difference in the number of B type mobiles produced in 2007 and 2008?

  • 3,55,000

  • 2,70,000

  • 2,25,000

  • 2,25,000

73 Views

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99.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years



If the percentage production of A-type mobiles in 2008 was same as that in 2007, then the number of A-type mobiles produced in 2008 would have been

  • 14,00,000

  • 13,20,000

  • 11,70,000

  • 11,70,000

65 Views

100.

The bar chart given below shows the percentage distribution of the production of various models of a mobile manufacturing company in 2007 and 2008. The total production in 2007 was 35 lakh mobile phones and in 2008 the production was 44 lakh. Study the chart and answer the following questions.

Percentage of six different types of mobiles manufactured by a company over two years.



If 85% of the D type mobiles produced in each year were sold by the company, how many D type mobiles remained unsold?

  • 76,500

  • 93,500

  • 1,18,500

  • 1,18,500

137 Views

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