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Aptitude · all questions

Area
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Twenty-nine times the area of a square is one square metre less than six times the area of the second square and nine times its side exceeds the perimeter of other square by 1 metre. The difference in the sides of these squares is :

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In ΔPQR, side PQ = 3 cm and side PR = 25 cm. What is the area of ΔPQR ?
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In an isosceles triangle, the measure of each of the equal sides is 10 cm and the angle between them is 45° . The area of the triangle is :

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A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is :

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The circumference of a circle, whose area is 24.64 m2 , is :

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The ratio of the radii of two circle is 3 : 2. What is the ratio of their circumferences ?

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A circular grassy plot of land, 42 cm is diameter, has a path 3.5 m wide running around it outside. The cost of gravelling the path at Rs. 4 per square metre is :

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A horse is tied at the corner of a rectangular field whose length is 20 m and width is 16 m, with a rope whose length is 14 m. Find the area which the horse can graze :

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A triangle with sides 13 cm, 14 cm and 15 cm is inscribed in a circle. The radius of the circle is :

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A skating champion moves along the circumference of a circle of radius 28 m in 44 sec. How many seconds will it take her to move along the perimeter of a hexagon of side 48 m ?

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The diameter of a circle is equal to the perimeter of a square whose area is 3136 cm2 . What is the circumference of the circle ?

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The area of a rectangular field is 2100 sq. meters. If the field is 60 metres long, what is its perimeter ?

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How many metres of carpet 63 cm wide will be required to cover the floor of a room 14 metres by 9 metres ?

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If the length and breadth of a rectangular field are increased, the area increases by 50%. If the increase in length was 20 %, by what percentage was the breadth increased ?

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Total area of 64 small squares of a chessboard is 400 sq. cm. There is 3 cm wide border around the chess board. What is the length of the side of the chess board ?

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Area of a square natural lake is 50 sq. kms. A driver wishing to cross the lake diagonally, will have to swim a distance of :

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A rectangular plank metre wide is placed symmetrically on the diagonal of a square of side 8 metres as shown in the figure. The area of the plank is :
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The area of a triangle whose sides are of lengths 3 cm, 4 cm and 5 cm is :

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The perimeter of a triangle is 30 cm and its area is 30 cm2. If the largest side measures 13 cm, then what is the length of the smallest side of the triangle ?

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If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on the same base and all have the same altitude, then which of the following statements is false ?

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