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A sum of money under compound interest doubles itself in 4 years. In how many years will it become 16 times itself? 

 

Option: 1

12 years


Option: 2

16 years


Option: 3

8 years


Option: 4

None of these


It will take 16 yrs 4+4+4+4=16

View Full Answer(18)
Posted by

Tapas Kumar Behera

A certain loan amounts, under compound interest, compounded annually earns an interest of Rs.1980 in the second year and Rs.2178 in the third year. How much interest did it earn in the first year?

Option: 1

Rs.1600


Option: 2

Rs.1800


Option: 3

 Rs.1900


Option: 4

None of these

 


1800

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Posted by

Guru G

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Find the compound interest on Rs. 5000 in 2 years at 4% per annum, the interest being compounded half yearly.

 

Option: 1

R 412.16


Option: 2

R 312.16


Option: 3

R 400.16


Option: 4

R 420.16

 


412.16

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Posted by

NARENDAR

14. Find the present value (in Rs.) of Rs.3000 due after 5 years at 10% p.a. simple interest.

Option: 1

1500


Option: 2

1800


Option: 3

2000


Option: 4

2500


Option a 1500

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Posted by

Madhavee vijay kadam

JEE Main high-scoring chapters and topics

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Three professors Dr. Gupta, Dr. Sharma, Dr. Singh are evaluating answer script of a subject. Dr. Gupta is 40% more efficient than Dr. Sharma, who is 20% more efficient than Dr. Singh. Dr. Gupta takes 10 days less than Dr. Sharma to complete the evaluation work. Dr. Gupta starts the evaluation work and works for 10 days and then Dr. Sharma takes over. Dr. Sharma evaluates for next 15 days and then stops. In how many days, Dr. Singh can complete the remaining evaluation work?

Option: 1

7.2 days


Option: 2

9.5 days


Option: 3

11.5 days


Option: 4

None

 


Let's solve this step by step

1)let's Dr.Singh's efficiency be x units/days

Then Dr.sharma = 20% more = 1.2x

          Dr.Gupta = 40% more than Sharma = 1.4 x 1.2x = 1.68x units/days

2) Dr.Gupta takes 10 days less than Dr.Sharma

    Time taken by sharma = S

     Then Gupta's time = S- 10 days

Work = Efficiency x Time

So , 1.2x x S = 1.68x x(S-10)

Cancel x :

1.2S = 1.68( S - 10 )

1.2S = 1.68S - 16.8

0.48s = 16.8

S = 35

So , Dr.Sharma takes 35 days

Dr.Gupta takes 25 days

3) find total work : using Dr.Gupta's rate and time :

Work = 1.68x x 25 = 42x units

4) work done by gupta 10 days = 1.68x x 10 = 16.8x

work done by Sharma in 15 days = 1.2x x 15 = 18x

Total work done = 16.8x + 18x = 34.8x

Remaining= 42x - 34.8x = 7.2x

5) Dr.Singh's rate = x

Time = Work /Rate = 7.2x / x = 7.2 days

Answer : Option 1 ( 7.2 days )

 

View Full Answer(1)
Posted by

Kavya S P

Aditya, Vedus and Yuvraj alone can do a job for 6 weeks, 9 weeks and 12 weeks respectively. They work together for 2 weeks. Then, Aditya leaves the job. Vedus leaves the job a week earlier to the completion of the work.The job would be completed in:

 

Option: 1

4 weeks


Option: 2

5 weeks


Option: 3

7 weeks


Option: 4

None


Aditya's 1 week work = 1/6

Vedus's = 1/9

Yuvraj's = 1/12

Step 1 : work done for first 2 weeks 

= 2 x (1/6 + 1/9 + 1/12 )

LCM of 6,9,12 = 36

= 2 x (6+4+3)/36 = 2 x 13/36 = 26/36

Remaining work = 1 - 26/36 = 10/36

Step 2  : after 2 weeks aditya leaves .vedus and yuvraj work together 

Let total time = x weeks

So vedus , works ( x - 3 ) weeks ( he leaves 1 week before ends )

Yuvraj works full ( x - 2 ) weeks 

Work done after Aditya left :

= ( x - 3 ) x 1/9 + (x-2) x 1/12

= (4x - 10 )/36

This must equal to remaining work:

(4x - 10 )/36 = 10/36

4x - 10 = 10

4x = 20

x = 5

Answer : option 2 - 5 weeks

 

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Posted by

Kavya S P

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In what time can Sonali cover a distance of 400 m, if she runs at a speed of 20 km/hr?

Option: 1

$1 \frac{1}{5}~min$


Option: 2

$1 \frac{1}{2} ~min$


Option: 3

$2~ min$


Option: 4

$3 ~min$


Given : 

Distance = 400 meters , 

Speed = 20 km/hr = 20000/60 = 333.33 meters/min

Time = Distance/speed

           = 400 / 333.33 ~ 1.2 minutes

            = 6/5 minutes

             = 1 1/5 minutes 

Answer : option 1 

           

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Posted by

Kavya S P

A man riding his bicycle covers 150 meters in 25 seconds. What is his speed in km/hr?

Option: 1

20 km/hr


Option: 2

21.6 km/hr


Option: 3

23 km/hr


Option: 4

25km/hr


Distance = 150 m

Time  = 25 s

Step 1  : speed in m/s = 150/25 = 6 m/s

Step 2 : convert km/hr = 6 x 18/5:=21.6 km/hr

Answer : option 2( 21.6 km/hr )

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Posted by

Kavya S P

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An athlete runs 200 meters race in 24 seconds. His speed is

 

Option: 1

20 km/hr


Option: 2

24 km/hr


Option: 3

28.5 km/hr


Option: 4

30 km/hr


28.5

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Posted by

Guru G

A train is moving with a speed of 30 m/s. Its speed is

Option: 1

72 km/h 


Option: 2

100 km/h


Option: 3

120 km/h


Option: 4

108 km/h

 


Given : 

Speed = 30 m/s

But you need to answer in kilometres per hour(km/h)

Step by step conversion

To convert m/s to km/h use this formula:

1 m/s = 18/5 km/h

So,

30 m/s = 30 x 18/5 = 540/5 = 108 km/h

Final answer : 108 km/h ( option 4)

Why multiply by 18/5

Because:

1 km = 1000 meters

1 hour = 3600 seconds 

1 m/s = 1000/3600 x km/h = 18/5 km/h

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Posted by

Kavya S P

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