A and B together can do a piece of work in 6 days. If A can alone

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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137.

A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is

  • 9

  • 10

  • 12

  • 15


A.

9

Shortcut Method:
 equals space open parentheses fraction numerator Product space over denominator Difference end fraction close parentheses
equals space open parentheses fraction numerator 18 space cross times space 6 over denominator left parenthesis 18 minus 6 right parenthesis end fraction close parentheses
equals space open parentheses fraction numerator 18 space cross times space 6 over denominator 12 end fraction close parentheses
equals space 9 space days


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139.

The maximum value of sin4 θ + cos4 θ is

  • 2

  • 1

  • 3

  • 1 third


140.

A shopkeeper bought 30 kg of rice at the rate of ₹ 70 per kg and 20 per kg of rice at the rate of ₹ 70.75 per kg. If he mixed the two brand of ice and sold the mixture of ₹ 80.50 per kg, his gain is

  • ₹ 485

  • ₹ 525

  • ₹ 450

  • ₹ 510


142.

The sides of a triangle having area 7776 sq cm are in the ratio 3 : 4 : 5. The Perimeter of the triangle is

  • 412 cm

  • 424 cm

  • 400 cm

  • 432 cm


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143.

The sum of the four number is 48. When 5  and 1 are added to the first two and 3 and 7 are subtracted from the 3rd and 4th, the numbers will be equal. The numbers are

  • 6, 10, 14, 18

  • 5, 11, 13, 19

  • 9, 7, 15, 17

  • 4, 12, 12, 20


144.

A 10 m long ladder is placed against a wall. It is inclined at an angle of 30° at the ground. The distance (in m) of the foot of the ladder from the wall is left parenthesis Given space square root of 3 space equals space 1.732 right parenthesis 

  • 7.32

  • 8.66

  • 8.16

  • 8.26


145.

The average weight of 15 oarsmen in a boat is increased by 1.6 kg when one of the crew who weighs 42 kg is replaced by a new man. Find the weight of the new man (in kg).

  • 67

  • 43

  • 66

  • 65


147.

A tangent is drawn to a circle of radius 6 cm from a point situated at a distance of 10 cm from the centre of the circle. The length of the tangent will be

  • 7 cm

  • 4 cm

  • 8 cm

  • 5 cm


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148.

The numerical value of 
fraction numerator cos squared space 45 degree over denominator sin squared space 60 degree end fraction space plus space fraction numerator begin display style cos squared space 60 degree end style over denominator begin display style sin squared space 45 degree end style end fraction space minus space fraction numerator begin display style tan squared space 30 degree end style over denominator begin display style cot squared space 45 degree end style end fraction space minus space fraction numerator begin display style sin squared end style begin display style space end style begin display style 30 end style begin display style degree end style over denominator cot squared space 30 degree end fraction

  • 3 over 4

  • 1 fourth

  • 1 half

  • 1 1 fourth


149.

A pipe can fill a tank in x h and another can empty it in y h. They can together fill it in (y > x)

  • x - y

  • fraction numerator xy over denominator straight y minus straight x end fraction

  • y - x

  • fraction numerator xy over denominator straight y minus straight x end fraction


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