Practice Mensuration Questions and Answers

• If x4 – 62x2 + 1 = 0, then a value of x 3 + x -3 can be:
• If √̅1̅2̅-̅2̅√̅3̅5̅ + √̅8̅+̅2̅√̅1̅5̅ = √a + √b, where a and b are positive integers, then the value of b...
• The curved surface area of a hemisphere is 72π cm2, then its radius is:
• If two is added to the denominator of a rational number it becomes 1 and if 4 is added to the numerator it becomes ½. Then the sum of the numerator ...
• If x1 and x2 are the roots of the equation 2x2 + 3x – 9 = 0, then the equation which has the roots 1/x1 and1/x2 is:
• An army of 2100 men has provision for 50 days. After 10 days due to injuries some of them left and the food were now enough for next 50 days for remaining ...
• For a positive integer n, 25n – 52n is divisible by:
• Mr. Vivek divides Rs. 1703 such that 4 times the 1st share, thrice the 2nd share and twice the third share amount to the same. Then the value of the 2nd sh...
• Ms. Hema invests Rs. 8000 for six months at 20% per annum compounded quarterly. The total amount she gets after 6 months is :
• Mr. Arun rows a boat with the stream at 10 km/hr and against the stream in 5 km/hr. In still water, his rate of rowing in km/h is:
• Due to economic surge the price of eggs suddenly reduced by 40%. This enabled a woman to buy 64 more for $30. Then the reduced price per dozen is :
• Mr. Shiva invested equal amount of money in two private firms which gives 15% simple interest per annum for 3.5 years and 5 years respectively. If the diff...
• A train 130 meters long travelling at 54 km/hr crosses the bridge in 30 sec. Then the length of the bridge is:
• The average cost of two chairs is Rs. 15000. The average cost decrease by 30% when one more chair is included. What is the cost price of the 3 rd  cha...
• In a cricket match the captain of one of a team scored 26 runs more than the average runs scored by the remaining 10 batsmen of that team who batted in the...
• In an examination the average marks of Rohit is 55. If he got 15 more marks in science and 27 more marks in maths then his average would have been 61. Find...
• In an exam of 100 marks, the average marks of a class of 38 students are 72. If the top 3 scorers of the class leave, the average score falls “down b...
• The average weight of five friends A, B, C, D and E is (x+8) years while the average weight of C and E is (x-8) kg. If the weight of another person F is al...
• Four persons ‘A’, ‘B’, ‘C’ and ‘D’ have different amounts with them. ‘D’ has twice amount than ...
• An edge of a variable cube is increasing at the rate of 2 cm/s. How fast is the volume of the cube increasing when the edge is 12 cm long?
• 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...