Aptitude · all questions

Area
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Q81

The diagonal of a rectangle is

41

cm and its area is 20 sq. cm. The perimeter of the rectangle must be :

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Q82

The breadth of a rectangular field is

\frac{3}{4}

of its length and its area is 300 sq. metres. What will be the area (in sq. metres) of the garden of breath 1.5 metres developed around the field ?

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Q83

How many squares with side

\frac{1}{2}

inch long are needed to cover a rectangle that is 4 feet long and 6 feet wide ?

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Q84

If a square of area

\frac{A}{2}

is cut off from a given square of area A, then the ratio of diagonal of the cut off square to that of the given square is :

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Q85

The length of a room is double its breadth. The cost of colouring the ceiling at Rs. 25 per sq. meter is Rs. 5000 and the cost of painting the four walls at Rs. 240 per sq. metre is Rs. 64800. Find the height of the room :

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Q86

The sides of a triangle are in ratio of

\frac{1}{2} : \frac{1}{3} : \frac{1}{4}

. If the perimeter is 52 cm, then the length of the smallest side is :

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Q87

If x is the length of a median of an equilateral triangle, then its area is :

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Q88

If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is :

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Q89

Two small circular parks of diameters 16 m and 12 m are to be replaced by a Bigger circular park. What would be the radius of this new park. If the new park has to occupy the same space as the two small parks ?

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Q90

If the wheel of the engine of a train

4 \frac{2}{7}

metres in circumference makes 7 revolutions in 4 seconds, then the speed (in km/hr) of the train is :

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Q91

A circular swimming pool is surrounded by a concrete wall 4 ft. wide. If the area of the concrete wall surrounding the pool is

\frac{11}{25}

that of the pool, then the radius of the pool is :

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Q92

The sides of a rectangle are 8 cm and 6 cm. The corners of the rectangle lie on a circle. Find the are a of the circle without the rectangle :

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Q93

A can go round a circular path 8 times in 40 minutes. If the diameter of the circle is increased to 10 times the original diameter, then the time required by A to go round the new path once, travelling at the same speed as before, is :

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Q94

Area of a rectangle is 150 sq. metre. When the breadth of the same rectangle is increased by 2 metres and the length decreased by 5 metres the area of the rectangle decreases by 30 square metres. What is the perimeter of the square whose sides are equal to the length of the rectangle ?

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Q95

If the total surface area of a cube is 864 square cm, find the volume of the cube ?

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Q96

A man is walking in a rectangular field whose perimeter is 6 km. If the area of the rectangular field be 2 sq. km, then what is the difference between the length and breadth of the rectangle ?

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Q97

If the diagonal and the area of a rectangle are 25 m² and 168 m², what is the length of the rectangle ?

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Q98

A path of uniform width runs round the inside of a rectangular field 38 m long 32 m wide. If the path occupies 600 m², then the width of the path is :

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Q99

The length and breadth of the floor of the room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of different colours are to be laid on the floor. Black tiles are laid in the first row on all sides. If white tiles are laid in the one-third of the remaining and blue tiles in the rest, how many blue tiles will be there ?

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Q100

Of the two square fields, the area of one is 1 hectare while the other one is broader by 1%. The difference in their areas is :

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