Practice Mensuration Questions and Answers

• If the area of a circle is 154 cm², then the circumference of the circle is:
• In a school. 60% of the students passed in an examination. If the number of failed candidates is 240, then the number of candidates that have passed is:
• There is a carpet of length 20 m. How many small pieces of carpet, each of length 4 m, can be cut out of it?
• When a smaller number divides a larger number, we get a quotient of 6 and a remainder of 5. Find the smaller number if the difference between the two numbe...
• The value of (sin23° / cos67°) + (cos71° / sin19°) is:
• The perimeters of two similar triangles, ∆ PQR and ∆ XYZ are 48 cm and 24 cm respectively. If XY = 12 cm. then PQ is:
• The capacity of a cylindrical tank is 2376 m³. If the radius of the tank is 21 m, then the depth of the tank is:
• 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 ...
• 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 ...