Numerical Ability
- A couple has 2 children. The probability that both children are boys if the older one is a boy is
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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.
- 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.
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From the given data, the following diagram is possible
cos 45° = DE 4
DE = cos45° × 4 = 2.828 kmsin 45° = EN 4
EN = sin 45° × 4 = 2.828 kmsin 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 kmCorrect Option: C
From the given data, the following diagram is possible
cos 45° = DE 4
DE = cos45° × 4 = 2.828 kmsin 45° = EN 4
EN = sin 45° × 4 = 2.828 kmsin 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
- 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?
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So present time = 10:30 + 2:15
= 12:45Correct Option: D
So present time = 10:30 + 2:15
= 12:45
- 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
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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 m²Correct 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
- The volume of a sphere of diameter 1 unit is than the volume of a cube of side 1 unit.
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‘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.
