Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

131.

The price of sugar having gone down by 10%, a consumer can buy 5 kg more sugar for ₹ 270. The difference between the original and reduced price per kg is

  • 62 paise

  • 60 paise

  • 75 paise

  • 53 paise

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132.

A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30m/min, then the radius of the circular ground is open parentheses take space straight pi space equals space 22 over 7 close parentheses

  • 10.5 m

  • 3.5 m

  • 5.5 m

  • 7.5 m


B.

3.5 m

Let the radius of a circular field be r m.
Speed of person in m/s equals space 30 over 60 space equals space 1 half space straight m divided by straight s
According to the question,
  fraction numerator 2 πr over denominator 1 divided by 2 end fraction space minus space fraction numerator 2 straight r over denominator 1 divided by 2 end fraction space equals space 30
rightwards double arrow space space space space 4 πr space minus space 4 straight r space equals space 30
rightwards double arrow space space space space open parentheses 4 space cross times space 22 over 7 space minus space 4 close parentheses straight r space equals space 30
rightwards double arrow space space space space left parenthesis 12.5 space minus space 4 right parenthesis straight r equals space space 30
rightwards double arrow space space space space space space 8.5 space straight r space equals space 30
therefore space space space space space space space space straight r space equals space fraction numerator 30 over denominator 8.5 end fraction space equals space 3.5 space straight m

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133.

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then, AP : BP is

  • 3 : 5

  • 1 : 4

  • 4 : 1

  • 2 : 3

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134.

A contractor undertook to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged now, so that the work may finish in time?

  • 40

  • 50

  • 48

  • 56

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135.

The radius of the circumcircle of a right angled triangle is 15 cm and the radius of  its inscribed circle is 6 cm. Find the sides of the triangle.

  • 30, 24, 25

  • 24, 36, 30

  • 30, 40, 41

  • 18, 24, 30

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136.

If a sin θ + b cos θ = c, then the value of a cos θ - b sin sin θ is

  • plus-or-minus space square root of straight a squared minus straight b squared minus straight c squared end root

  • plus-or-minus space square root of straight a squared minus straight b squared plus straight c squared end root

  • plus-or-minus space square root of negative straight a squared space plus space straight b squared space plus space straight c squared end root

  • plus-or-minus space square root of straight a squared plus straight b squared minus straight c squared end root

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137.

The marked price of a watch was ₹ 720. A man bought the same for ₹ 550.80 after getting 2 successive discounts, the 1st being 10%. What was the 2nd discount?

  • 18%

  • 12%

  • 14%

  • 15%

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138.

A person bought two bicycles for ₹ 1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit, he would get ₹ 5 more. The difference in the cost price of the two bicycles was

  • ₹ 25

  • ₹ 75

  • ₹ 50

  • ₹ 40

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139.

A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for

  • 24 1 half space days

  • 12 days

  • 12 1 fourth space days

  • 14 days

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140.

Each of the two circles same radius a passes through the centre of the other. If the circles cut each other at the points A, B and O, O' be their centres, area of the quadrilateral AOBO' is

  • a2

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