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Practice Mensuration Questions and Answers

If tan θ + cot θ = 5, then the value of tan2 θ + cot2 θ + 2tan2 60° is:
The angle of elevation of a pole from a point, which is 20 m away from the foot of the pole is 45°. Find the height of the pole.
PQRS is a cyclic trapezium where PQ is parallel to RS and PQ is the diameter. If ∠QPR = 40° then the ∠PSR is equal to:
A class has 48 students. On a specific day, only (3/8) of the students were present; the number of absentees on the same day would be:
18 × 15 + 86 – 58 = ? + 38
The marks obtained by 7 students in a class in mathematics are 43, 44, 65, 41, 53, 65 and 62. The mode of the data is:
The surface areas of three faces of a cuboid sharing a vertex are given as 25 m², 32 m² and 32 m². What is the volume of the cuboid?
If tan A = √5 – 2, then the value of tan A - cot A = ?
In a triangle ABC, D, E and F are the mid-points of the sides BD, CA and AB, respectively. BE and DF intersect at X. DE and CF intersect at Y. Find XY = ?
If you divide a 24.6 m long wire in the ratio 12: 29, what will be the length of the longer piece?
The diameter and the slant height of a conical tent are 16 m and 5.6 m, respectively. What length of cloth having width 4m is needed to make the tent?
2[sin x – cos x]4 + 6[sin x + cos x]2 + 5[sin6 x + cos6 x]= ?
The total population of a village is 1000. The number of males and females increases by 6% and 8% respectively and consequently the population of the villa...
In what ratio coffee at 255 Rs/kg should be mixed with the coffee at 310 Rs/kg so that after mixture its rate become 270 Rs/kg if the quantity of 1st type ...
Two equal vessels A and B contain 70% of milk and 60% of milk respectively and the remaining sugar. In which 30 kg of mixture is taken out from vessel A an...
Cost of two types of pulses is Rs.25 and Rs, 30 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the price...
The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm². Its volume (in cm³) is: (Takе π = 22/7)
A rectangular plot of breadth 4m is fenced with wire which is 20m in length. Find the area of square whose side is equal to the length of rectangle.
Some balls are to be distributed among some boys. If 5 more balls are available, each boy gets 8 balls. If 6 less balls are available, each boy gets 4 ball...
A sum of Rs.10600 is to be divided among 6 brothers, 5 sisters and 3 aunts. If each sister receives four times as much as each aunt and each brother receiv...
Ashish and Sushil together start a business with investment of Rs. 1700 and Rs. ‘x + 1100’, respectively. If the profit earned after 5 years is...
The length of sides of a square is twice the radius of a circle and perimeter of a rectangle is half the perimeter of the square. If the sum of length and ...
<p><p>The number of students in a school is 4217. If the ratio between boys to girls is (x+5) : (x+8), then find the value of x.&lt...
<p><p>The area of four walls of a room is 120 cm<sup>2</sup>. If the length and breadth of the room were eq...
<p><p>The length of sides of a square is twice the radius of a circle and perimeter of a rectangle is half the perimeter of the square....
A rectangular ground is 75 metre long and 55 metre broad. If two 15 metre wide paths one parallel to the breadth and one parallel to the length, of the g...
A rectangular ground is 65 metre long and 45 metre broad. If two 10 metre wide paths one parallel to the breadth and one parallel to the length, of the g...
A rectangular ground is 85 metre long and 65 metre broad. If two 10 metre wide paths one parallel to the breadth and one parallel to the length, of the g...
A rectangular ground is 95 metre long and 75 metre broad. If two 10 metre wide paths one parallel to the breadth and one parallel to the length, of the g...
A rectangular ground is 80 metre long and 60 metre broad. If two 20 metre wide paths one parallel to the breadth and one parallel to the length, of the g...
A rectangular ground is 90 metre long and 70 metre broad. If two 10 metre wide paths one parallel to the breadth and one parallel to the length, of the g...
On a rectangular wall of length 24 metres and height 19 metres, there is a window in the shape of triangle surmounted on a square. If the base of triangle ...
On a rectangular wall of length 20 metres and height 15 metres, there is a window in the shape of triangle surmounted on a square. If the base of triangle ...
4 boys from school A and 6 boys from school B together can set up an exhibition in 5 days, which 5 boys from school A and 10 boys from school C together ca...
The height of a right circular cone is 35 cm and the area of its curved surface is four times the area of its base. What is the volume of the cone (in 10-3...
If the word PHOTOGRAPH is spelt with ‘F’ in place of ‘PH', then what would be the percentage reduction in the number of letters?
The speed of two railway engines is in the ratio 5: 4. If they move on parallel tracks in the same direction and if the slower engine is ahead of the faste...
A chord of the larger among two concentric circles is of length 10 cm and it is tangent to the smaller circle. What is the area (in cm²) of the annular po...

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