Sita deposited ₹ 5,000 at 10% simple interest for 2 years. Ho

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

41.

In an examination, 52% of the candidates failed in English and 42% failed in Mathematics. If 17% failed in both the subjects, then the percentage of candidates, who passed in both the subjects, was

  • 23

  • 21

  • 25

  • 25

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42.

In an election, there were only two candidates. One of the candidates secured 40% of votes and is defeated by the other candidate by 298 votes. The total number of votes polled is

  • 745

  • 1460

  • 1490

  • 1490

136 Views

43.

P and Q are 27 km away. Two trains with speeds of 24 km/hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is

  • 126 km

  • 81 km

  • 48 km

  • 68 km

601 Views

44.

A boat covers 12 km upstream and 18 km downstream in 3 hours, while it covers 36 km upstream and 24 km downstream in 

What is the speed of the current?

  • 1.5 km/hr

  • 1 km/hr

  • 2 km/hr

  • 2.5 km/hr

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45.

Two trains, A and B, start from stations X and Y towards Y and X respectively. After passing each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively. If train A is moving at 45 km/hr, then the speed of the train B is

  • 60 km/hr

  • 64.8 km/hr

  • 54 km/hr

  • 54 km/hr

899 Views

46.

A train covers a distance between A and station B in 45 minutes, If the speed of the train is reduced by 5 km per hr, then the same distance is covered in 48 minutes. The distance between stations A and B is

  • 60 km

  • 64 km

  • 80 km

  • 80 km

188 Views

47.

Arun lends Rs 20,000 of two of his friends. He gives Rs 12,000 to the first at 8% p.a. simple interest. Arun wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend is

  • 8%

  • 16%

  • 12%

  • 12%

294 Views

48.

An amount of money at compound interest grows up to ₹ 3,840 in 4 years and up to ₹ 3,936 in 5 years. Find the rate of interest.

  • 2.5%

  • 2%

  • 3.5%

  • 3.5%

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49.

A sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?

  • 9

  • 27

  • 6

  • 6

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50.

Sita deposited ₹ 5,000 at 10% simple interest for 2 years. How much more money will Sita have in her account at the end of two years. If it is compounded semi-annually.

  • ₹ 50

  • ₹ 40

  • ₹ 77.50

  • ₹ 77.50


C.

₹ 77.50

Simple interest for 2 Years
straight S. straight I. space equals space fraction numerator 5000 space cross times space 10 space cross times space 2 over denominator 100 end fraction space equals space ₹ space 1000
Compound interest for 2 years, semi-annually
Rate = (10/2 = 5%),  n = 4 half years
straight C. straight I. space equals space straight P open square brackets open parentheses 1 plus straight R over 100 close parentheses to the power of straight T minus 1 close square brackets
equals space 5000 space open square brackets open parentheses 1 plus 5 over 100 close parentheses to the power of 4 minus 1 close square brackets
equals space 5000 space open parentheses 194481 over 160000 minus 1 close parentheses
equals space fraction numerator 5000 space cross times space 34481 over denominator 160000 end fraction space equals space ₹ space 1077.5
Difference = ₹ 1077.5 - ₹ 1000 = ₹ 77.5


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