Numerical Ability

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  1. A couple has 2 children. The probability that both children are boys if the older one is a boy is








  1. View Hint View Answer Discuss in Forum

    The probability of the second child being a boy is independent of the first child. Therefore, the required probability will be 1/2.

    Correct Option: C

    The probability of the second child being a boy is independent of the first child. Therefore, the required probability will be 1/2.

  1. M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels 5 km South and then 4 km South-East. What is the shortest distance (in km) between M and N at the end of their travel.








  1. View Hint View Answer Discuss in Forum

    From the given data, the following diagram is possible

    cos 45° =
    DE
    4

    DE = cos45° × 4 = 2.828 km
    sin 45° =
    EN
    4

    EN = sin 45° × 4 = 2.828 km
    sin 45° =
    EN
    4

    EN = sin 45° × 4 = 2.828 km
    CN = NE + CE = 2.828 + 5 = 7.828 km
    CB = AB – AC = 10 – 2.828 = 7.171 km
    (NB)² = (NC)² + (BC)²
    = (7.828)² + (7.171)²
    ∴ NB = √(7.828)² + (7.171)²
    = 10.616 km
    ∴ NM = NB + BM = 10.616 + 10
    = 20.61 km

    Correct Option: C

    From the given data, the following diagram is possible

    cos 45° =
    DE
    4

    DE = cos45° × 4 = 2.828 km
    sin 45° =
    EN
    4

    EN = sin 45° × 4 = 2.828 km
    sin 45° =
    EN
    4

    EN = sin 45° × 4 = 2.828 km
    CN = NE + CE = 2.828 + 5 = 7.828 km
    CB = AB – AC = 10 – 2.828 = 7.171 km
    (NB)² = (NC)² + (BC)²
    = (7.828)² + (7.171)²
    ∴ NB = √(7.828)² + (7.171)²
    = 10.616 km
    ∴ NM = NB + BM = 10.616 + 10
    = 20.61 km

  1. Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without number markings seemed to show 1:30. What is the actual current time shown by the clock?








  1. View Hint View Answer Discuss in Forum


    So present time = 10:30 + 2:15
    = 12:45

    Correct Option: D


    So present time = 10:30 + 2:15
    = 12:45

  1. A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in m² is








  1. View Hint View Answer Discuss in Forum

    The possible window will be as follows:

    Perimeter of window = 5x = 6m
    x = 1.2 m
    So area of window = Area of triangle + Area of square

    =
    √3
    		x² + x²
    4

    =
    √3
    		(1.2)² + (1.2)²
    4

    = 2.06 m²

    Correct Option: B

    The possible window will be as follows:

    Perimeter of window = 5x = 6m
    x = 1.2 m
    So area of window = Area of triangle + Area of square

    =
    √3
    		x² + x²
    4

    =
    √3
    		(1.2)² + (1.2)²
    4

    = 2.06 m²

  1. The volume of a sphere of diameter 1 unit is than the volume of a cube of side 1 unit.








  1. View Hint View Answer Discuss in Forum

    ‘Lesser than’ is apt because the sentence should be in comparative degree.

    Correct Option: B

    ‘Lesser than’ is apt because the sentence should be in comparative degree.