Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

111.

A circular swimming pool is surrounded by a concrete wall 4m wide. If the area of the concrete wall surrounding the pool is 11 over 25 that of the pool, then the radius (in m) of the pool is

  • 20

  • 30

  • 16

  • 16

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112.

O is the centre of  and , then the measure of  is

  • 125°

  • 100°

  • 130°

  • 115°

236 Views

113.

A train leaves station A at 5:00 am and reaches station B at 9:00 am on the same day. Another train leaves station B at 7:00 am and reaches station A at 10:30 am on the same day. The time at which the two trains cross one another is

  • 8:00 am

  • 8:26 am

  • 7:56 am

  • 7:56 am

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114.

Ram deposited a certain sum of money in a compound at 12% per annum simple interest for 4 yr and deposited equal amount in fixed deposit in a bank for 5 yr at 15% per annum simple interest. If the difference in the interest from two sources is ₹ 1350,  then the sum deposited in each case is

  • ₹ 4000

  • ₹ 5000

  • ₹ 6500

  • ₹ 6500


B.

₹ 5000

straight r subscript 1 space equals space 12 percent sign comma space space space straight t subscript 1 space equals space 4 comma space space straight t subscript 2 space equals space 5 comma space space space straight r subscript 2 space equals space 15
Let the principal amount is ₹P. According to the question,
                       fraction numerator Pt subscript 2 straight r subscript 2 over denominator 100 end fraction minus fraction numerator Pt subscript 1 straight r subscript 1 over denominator 100 end fraction space equals space 1350
         fraction numerator straight P left parenthesis 5 cross times 15 minus 4 cross times 12 right parenthesis over denominator 100 end fraction space equals space 1350
          straight P space equals space fraction numerator 1350 space cross times space 100 over denominator 75 minus 48 end fraction space equals space fraction numerator 1350 space cross times space 100 over denominator 27 end fraction space equals space ₹ space 5000

 
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115.

The speed of a boat in still water is 6km/hr and the speed of the stream is 1.5 km/h. A man rows to a place at a distance of 22.5 km and comes back to the starting point. The total time taken by him is

  • 10 h

  • 4 h 10 min

  • 6h 10 min

  • 8 h

443 Views

116.

If 1 plus cos squared straight theta space equals space 3 space sin space straight theta space cosθ comma then find the integral value of cot space straight theta is open parentheses 0 less than straight theta less than straight pi over 2 close parentheses

  • 1

  • 2

  • 0

  • 0

218 Views

117.

The value of following is
3 left parenthesis sin to the power of 4 straight theta space plus space cos to the power of 4 straight theta right parenthesis space plus space 2 left parenthesis sin to the power of 6 straight theta space plus space cos to the power of 6 straight theta right parenthesis space plus space 12 space sin squared space cos squared straight theta

  • 2

  • 5

  • 3

  • 3

215 Views

118.

A dealer sold a bicycle at a profit of 10%. Had he brought the bicycle at 10% less and sold it at a price ₹60 more, he would have gained 25%. The cost price of the bicycle was

  • ₹ 2200

  • ₹ 2000

  • ₹ 2400

  • ₹ 2400

594 Views

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119.

If secθ plus space tanθ space equals space 2 plus square root of 5 comma then the value of sinθ is left parenthesis 0 degree less-than or slanted equal to straight theta less-than or slanted equal to 90 degree right parenthesis

  • fraction numerator square root of 3 over denominator 2 end fraction
  • fraction numerator 1 over denominator square root of 5 end fraction
  • fraction numerator 2 over denominator square root of 5 end fraction
  • fraction numerator 2 over denominator square root of 5 end fraction
222 Views

120.

A conical iron piece having diameter 28 cm and height 30cm is totally immersed into the water of a cylindrical vessel, resulting in the rise of water level by 6.4 cm. The diameter (in cm) of the vessel is

  • 3.5 

  • 35 over 2
  • 35

  • 35

323 Views

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