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Practice Mensuration Questions and Answers

If x4 + x2 y2 + y4 = 37 and x2 – xy + y2 = 5, then what is the value of xy ?
Twenty five liters of 60% concentration of acid solution is added to 35 liters of 80% concentration of acid solution. What is the concentration of acid in ...
If a six digit number 3x 7z 8y is divisible by 7, 11, 13, then the average value of x, y, z is:
A can do a certain work in 12 days, B alone can do the same work in 16 days. A and B undertook to complete it in Rs. 8000. With the help of C, they complet...
A sum of Rs. 21500 was lent partly at 4% p.a. and remaining at 6% p.a. simple interest. The total interest received after 3(1/2) years is Rs. 3521. The sum...
If x = (√5-√3) / (√5+√3) and y is reciprocal of x. then what is the value of √(x3 + y3)?
If A’s income is 60% more of B’s income and B’s income is 40% less than C’s income, then by what percent is C’s income more t...
A man standing in a point C of a ground. He observes a flying an aero-plane in the east at an angle of elevation of 30° and after 30 seconds, he observ...
The cost of fencing a rectangular field at the rate of Rs. 5 per meter is Rs.350. If the length of the field is 15 meters more than its breadth, then find ...
0.3̅2̅ + 0.54̅8̅ - 0.1̅9̅ is equal to :
A bus passes two bridges of length 500 m and 325 m in 90 seconds and 60 seconds respectively. The length (in m) of the bus is
A bus covers some distance at a certain speed. If a person covers one-third of that distance in triple time, then the ratio of the speed of the person to t...
A 18 m long ladder (whose foot is on the ground) leans against a wall making an angle of 60° with the wall. What is the height (in m) of the point wher...
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:

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