The heights of a cone and a cylinder are equal. The radii of thei

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

51.

A and B together can complete a work in 24 days. B alone does 1/3 rd part of this work in 12 days. How many days will A alone take to complete the remaining work?

  • 24

  • 36

  • 48

  • 72

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52.

The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2 : 1. The ratio of their volume is

  • 4 : 3

  • 3 : 4

  • 2 : 1

  • 1 : 2


A.

4 : 3

fraction numerator Volume space of space cone over denominator Volume space of space cylinder end fraction space equals space fraction numerator begin display style 1 third πr subscript 1 squared straight h subscript 1 end style over denominator begin display style 1 third πr subscript 2 squared straight h subscript 2 end style end fraction
                As h1 = h2
 equals space 1 third cross times space open parentheses straight r subscript 1 over straight r subscript 2 close parentheses squared space cross times space straight h subscript 1 over straight h subscript 2
equals space 1 third space cross times space open parentheses 2 over 1 close parentheses squared space equals space 4 over 3

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53.

A shopkeeper marks his goods 50% more than the cost price and allows a discount of 25%. His profit or loss percentage is:

  • 37.5%

  • 25.5%

  • 12.5%

  • 25%

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54.

A school has 8 periods of 45 min each, every day. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

  • 40 min

  • 35 min

  • 30 min

  • 45 min

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55.

If the ratio of the cost price and the selling price of an article be 4 : 5, then the percentage of profit is 

  • 25%

  • 15%

  • 10%

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56.

In an ornament the ratio of gold and copper is 3 : 2. The percentage of gold in the ornament is

  • 60%

  • 40%

  • 30%

  • 20%

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57.

A boat moves downstream at the rate of 8 km/hr and upstream at 4 km/hr. The speed of the boat in still water is:

  • 4.5 km/hr

  • 5 km/hr

  • 6 km/hr

  • 6.4 km/hr

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58.

If  then the value of n is

  • 13

  • 14

  • 15

  • 16

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59.

If  then find the value of  is

  • 3

  • 2

  • 1

  • 0

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60.

Which one of the following combination of measurements can form the sides of a triangle?

  • 9 cm,  6cm,  2cm

  • 11 cm, 3 cm, 12 cm

  • 3 cm,  5cm,  8cm

  • 5cm,  7cm,  13cm

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