Practice Mensuration Questions and Answers

• 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>&lt;p&gt;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>&lt;p&gt;The area of four walls of a room is 120 cm&lt;sup&gt;2&lt;/sup&gt;. If the length and breadth of the room were eq...
• <p>&lt;p&gt;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 35 metres and height 30 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...
• Which one among the following is the smallest?
• The two parallel sides of a trapezium are 27 cm and 13 cm respectively. If the height of the trapezium is 8 cm, then what is its area in m²?
• (4x³y – 6x2y2 + 4xy3 y4) can be expressed as:
• The monthly salary of a person was Rs 50,000. He used to spend on three heads- personal and family expenses (E), taxes (T), philanthropy (P), and rest were...
• A cylinder 84 cm long is made of steel. Its external and internal diameters are 10 cm and 8 cm respectively. What is the volume of the steel in the cylinde...
• PQRS is a rectangle. T is a point on PQ such that RTQ is an isosceles triangle and PT = 5 QT. If the area of triangle RTQ is 12 √3 sq.cm, then the area o...