Geometry aptitude questions and concepts
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The four walls and ceiling of a room of length 25 ft., breadth 12 ft. and height 10 ft. are to be painted. Painter A can Paint 200 sqr.ft in 5 days, painter B can paint 250 sqr.ft in 2 days. If A & B work together, in how many days do they finish the job?
A5 8/13 B5 11/12 C6 10/33 D7 6/11 View Answer 1.
There is a rectangular Garden whose length and width is 60m X 20m.There is a walkway of uniform width around garden. Area of walkway is 516m2. Find width of walkway?
A1 B2 C3 D4 View Answer 2.
In a trapezoid ABCD, the diagonals intersect at E. If area of triangle ∆ABE = 72 and area of triangle ∆CDE = 50, then area of trapezium ABCD is
A342 B242 C184 D424 View Answer 3.
The dimensions of a certain machine are 48" X 30" X 52". If the size of the machine is increased proportionately until the sum of its dimensions equals 156". What will be the increase in the shortest side?
A6 B26 C32 DData insufficient View Answer 4.
The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter, then the value of x is _______
A5 B14 C17 D4 View Answer 5.
A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of the wood wasted is :
A25% B30% C50% D75% View Answer 6.
A parallelogram has sides 30 m and 14 m and one of its diagonals is 40 m long. Then, its area is :
A336 m2 B168 m2 C480 m2 D372 m2 View Answer 7.
The edge of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2. The volume of the cuboid is :
A24 cm3 B48 cm3 C64 cm3 D120 cm3 View Answer 8.
If the radius of a circle is diminished by 10%, then its area is diminished by :
A10% B19% C20% D36% View Answer 9.
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?
A43 units B8 units C12 units DData inadequate
A5 8/13 B5 11/12 C6 10/33 D7 6/11 View Answer 1.
There is a rectangular Garden whose length and width is 60m X 20m.There is a walkway of uniform width around garden. Area of walkway is 516m2. Find width of walkway?
A1 B2 C3 D4 View Answer 2.
In a trapezoid ABCD, the diagonals intersect at E. If area of triangle ∆ABE = 72 and area of triangle ∆CDE = 50, then area of trapezium ABCD is
A342 B242 C184 D424 View Answer 3.
The dimensions of a certain machine are 48" X 30" X 52". If the size of the machine is increased proportionately until the sum of its dimensions equals 156". What will be the increase in the shortest side?
A6 B26 C32 DData insufficient View Answer 4.
The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter, then the value of x is _______
A5 B14 C17 D4 View Answer 5.
A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of the wood wasted is :
A25% B30% C50% D75% View Answer 6.
A parallelogram has sides 30 m and 14 m and one of its diagonals is 40 m long. Then, its area is :
A336 m2 B168 m2 C480 m2 D372 m2 View Answer 7.
The edge of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2. The volume of the cuboid is :
A24 cm3 B48 cm3 C64 cm3 D120 cm3 View Answer 8.
If the radius of a circle is diminished by 10%, then its area is diminished by :
A10% B19% C20% D36% View Answer 9.
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?
A43 units B8 units C12 units DData inadequate
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