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Research Aptitude Test - 26

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Research Aptitude Test - 26
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  • Question 1
    2 / -0.5

    Nishu and Archana can do a piece of work in 10 days and Nishu alone can do it in 12 days. In How- many days can Archana do it alone?

    Solution

    One day work of both 1/10

    and Nishu ’s day -work = 1/12

    So, Archana ’s one day work = 1/10 - 1/12 = 2/120 = 1/60

    So, 60 days required to finish the work by Archana.

  • Question 2
    2 / -0.5

    A can do a piece of work in 10 days and B can do the same work in 20 days. With the help of C, they finish the work in 5 days. How long will It take for C alone to finish the work?

    Solution

    ⅕ - 1/10 - 1/20 = 1/20

    This is C’s one day work so 20 days are required for C alone to finish the task.

  • Question 3
    2 / -0.5

    Twenty workers can finish a piece of work in 30 days. After how many days should 5 workers leave the job so that the work is completed in 35 days?

    Solution

    Man x Day = Man . Day

    20 x 30 = 600

    Let 5 workers leave after x days then 20 + 15 (35 - x) = 600

    5x + 525 = 600

    5x = 75, x = 15

  • Question 4
    2 / -0.5

    Akshay borrowed Rs 2100 at compound interest of 5% per annum for 2 years. What is the total the amount due after two years?

    Solution

    Here P = 2100, R = 5%, T = 2 years

  • Question 5
    2 / -0.5

    What is the difference between the simple interest on a principal of Rs. 500 being calculated at 5% per annum for 3 years and 4% per annum for 4 years?

    Solution

    P = Rs. 500, R1 = 5%, R2 = 4%, T1 = 3 years, T2 = 4 years

    Difference = PR1 T1 /100 - PR2 T2 /100 = Rs. 5.

  • Question 6
    2 / -0.5

    Find the compound interest on Rs. 1000 at the rate of 20% per annum for 18 months when interest is compounded half-yearly.

    Solution

    Here P = Rs. 1000, R = 20%, T = 18 months or 1(½) years.

    Compound interest when interest is compounded annually

    hence interest is= 1331-1000=331

  • Question 7
    2 / -0.5

    A train is moving at a speed of 132 kmph. If the length of the train is 110 metres, how long will it take to cross a railway platform 165 m long?

    Solution

    ​​​​​

  • Question 8
    2 / -0.5

    A train 300 m long crossed a platform 900 m long in 1 minute 12 seconds. The speed of the train (in km/hr) is

    Solution

    Total distance covered = (300 + 900)m = 1200m.

    Time taken = 1 min. 12 sec = 72 sec,

    ∴ Speed = (1200/72)m/sec.

    = (1200/72 x 18/5) km/hr = 60km/hr

  • Question 9
    2 / -0.5

    A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is

    Solution

    Let foe length of train be x metres and its speed by y metres/sec.

    Then, x/y = 15 ⇒ y = x/15

    ⇒ x = 150 m/s

  • Question 10
    2 / -0.5

    Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, ___, 47

    Solution

    Difference between No. is in AP, i.e., Difference between No is 7,9,11,13.

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