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RRB Office Assistant Aptitude Test - 3
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RRB Office Assistant Aptitude Test - 3
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  • Question 1/10
    1 / -0

    If a sum is compounded half yearly at the rate of 12% p.a. and the difference of compound interest and simple interest for 1 year is Rs.36, then what is the sum?

    Solutions

    Let Principal be ₹P. 

    ∴ Simple interest on ₹P for one year at the rate of 12% 

     

  • Question 2/10
    1 / -0

    The respective ratio of milk and water in the mixture is 3 : 2. If 3 litres of water is added to this mixture, the respective ratio of milk and water becomes 6 : 5. What is the quantity of milk in the original mixture?

    Solutions

     

  • Question 3/10
    1 / -0

    When three dice are thrown together. The probability that at least two of them show number 6. 

    Solutions

    When 2 dice show number 6 = (1, 6, 6), (2, 6, 6)…….(5, 6, 6) = 5 pairs

    (6, 1, 6), (6, 2, 6)……(6, 5, ) = 5 pairs

    (6, 6, 1), (6, 6, 2)……(6, 6, 5) = 5 pairs

    When all 3 dice show number 6 = (6, 6, 6) = 1 pair

    Favorable pair = 5 + 5 + 5 + 1 = 16

    Total pair = 6 x 6 x 6 = 216

    Probability = 16/216 = 2/27

     

  • Question 4/10
    1 / -0

    Rehaan purchased a bike for Rs.54,000. He sold it at a loss of 8 per cent. With that money he again purchased another bike and sold it at a profit of 10 per cent., What is his overall loss/profit?

    Solutions

     

  • Question 5/10
    1 / -0

     A and B can do a piece of work in 72 days. B and C can do it in 120 days. C and A can do it in 90 days. In how many days all three together can do the work?

    Solutions

     

  • Question 6/10
    1 / -0

    From a right circular cylinder of radius 8 cm and height 14 cm, a cone of the same dimensions is removed. The volume of the remaining part is

    Solutions

    Volume of cylinder = π r2h =  22/7 x 8 x 8 x 14 = 2816 cm3

    Volume of cone =  1/3 π r2h =  1/3 x 22/7 x 8 x 8 x 14 = 938.67 cm3

    The volume of the remaining part = 2816 – 938.67 = 1877.33 cm3

     

  • Question 7/10
    1 / -0

    Taiyab, Narendra and Amit start a small business. Taiyab contributes 1/10th of the total capital invested in the business. Narendra contributes as much as Taiyab and Amit together. Total profit at the end of the year was 10,400. What was Amit's profit share?

    Solutions

     

  • Question 8/10
    1 / -0

    On increasing the price of T.V sets by 30%, their sale decreases by 20%. What will be the effect on the revenue of the shop?

    Solutions

     

  • Question 9/10
    1 / -0

    A boat goes 15 km upstream in 80 minutes. The speed of the stream is 5 kmph. The speed of the boat in still water is:

    Solutions

    15 km upstream in 80 minutes → 15/1.33 = 11.25 kmph. (upstream speed of the boat).Thus, speed of the boat in still water = 11.25 + 5 = 16.25 kmph.

     

  • Question 10/10
    1 / -0

    Amit walks 40 metres towards east, then he turns by 135° to his left and walks 

    60 metres. Finally he turns to his right at 90º and walks 30 meter. Then, in which direction was he walking finally?

    Solutions

     

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