Unitary Method


  1. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?









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    40 cows eat 40 bags of husk in 40 days.
    ∴ 1 cows eat 40 bags of husk in 40 x 40 days.
    ∴ 1 cows eat 1 bags of husk in 40 x 40 / 40 days.

    Correct Option: B

    40 cows eat 40 bags of husk in 40 days.
    ∴ 1 cows eat 40 bags of husk in 40 x 40 days.
    ∴ 1 cows eat 1 bags of husk in 40 x 40 / 40 days.
    ∴ 1 cows eat 1 bags of husk in 40 days.


  1. If the cost of x meters of wire is ‘d’ rupees, that find the cost (in Rupees) of ‘y’ meters of wire at the same rate.









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    Cost of x meters ropes = Rs. d
    ∴ Cost of 1 meters ropes = Rs. d /x

    Correct Option: A

    Cost of x meters ropes = Rs. d
    ∴ Cost of 1 meters ropes = Rs. d /x
    ∴ Cost of y meters ropes = Rs. dy/x



  1. A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole ?









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    ∵ 8 m shadow means original height = 12 m
    ∴ 1 m shadow means original height = 12/8 m

    Correct Option: A

    ∵ 8 m shadow means original height = 12 m
    ∴ 1 m shadow means original height = 12/8 m
    ∴ 100 m shadow means original height = (12/8) x 100 m
    = (6/4) x 100 = 6 x 25 = 150 m


  1. In a race , Ravi covers 5 km in 20 min. How much distance will he cover in 100 min ?









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    ∵ Distance covered in 20 min = 5 km
    ∴ Distance covered in 1 min = 5/20 km

    Correct Option: D

    ∵ Distance covered in 20 min = 5 km
    ∴ Distance covered in 1 min = 5/20 km
    ∴ Distance covered in 100 min = (5/20) x 100
    = 5 x 5 = 25 km



  1. If 45 m of a uniform rod weight 171 kg, then what will be the weight of 12 m of the same rod ?









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    Let the required weight be w kg.
    Less length, Less weight (Direct proportion)
    45 : 12 :: 171 : w

    Correct Option: D

    Let the required weight be w kg.
    Less length, Less weight (Direct proportion)
    45 : 12 :: 171 : w
    ∴ w = (12 x 171)/45 = 45.6 kg