List of top Mathematics Questions

Seven cubes of same volume having side 5 cm are joined end to end. Find the Surface area of the resulting cuboid. (Answer to be provided in cm²).

The sum of the measures of the angles of regular polygon is 2160°. How many sides does the polygon have?

Find the area of a square, one of whose diagonals is 9.2 m long. (Provide answer up to the second decimal in sq m)

NAT A cube is coloured red on all faces. It is cut into 64 smaller cubes of equal size. How many cubes have one red painted face?

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, then what is the distance between the two ships?(Answer to be provided in meters)

The average of 15 numbers is 18. The average of first 8 is 19 and the last 8 is 17, then what is the \(8^{th}\) number?

If (2,0) is a solution of linear equation 2x+3y=k, then what is the value of k?

A tank is 25 m long, 12 m wide and 6 m deep. What is the cost of plastering its walls and bottom if the cost per square meter is Rs 75 per sq. m? (Answer to be provided in Rupees)

What is the radius of the incircle of the triangle whose sides measure 5,12 and 13 units?
(Answer to be provided only in units)

A lady grows cabbage in her garden that is in the shape of a square. Each cabbage takes 1 square foot of area in her garden. This year, she has increased her output by 211 cabbages when compared to last year. The shape of the area used for growing the cabbage has remained a square in both these years. How many cabbages did she produce this year?

How many diagonals does a 63-sided convex polygon have?

What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

A hollow iron pipe is 20 cm long and its external diameter is 10 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then what is the weight of the pipe?
(Answer to be provided in kg to the third decimal).

40 men took a dip in a water tank 50 m long and 20 m broad on a religious day. If the average displacement of water by a man is 5 m3, what will the rise in the water level in the tank be?
(Answer to be provided in cm)

A card board sheet is of rectangular shape with dimensions 50cm×30cm. From each of its corners, a square is cut off so as to make an open box. If the side of the square is 10 cm, then what is the volume of the box?
(Answer to be provided in cm³)

Matrices when the solution of equations is not defined

circles (concyclic, 3 pts given and do they form equilateral, right angled triangle)

Let the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{7}=1$ and the hyperbola $\frac{x^2}{144}-\frac{y^2}{\alpha}=\frac{1}{25}$ coincide Then the length of the latus rectum of the hyperbola is:-

If \(x+y+z=17\) and x, y, z are non-negative integers, then find the number of integral solutions is

(\(\frac{2x^3-1}{3x^8}\))⁵\(\rightarrow\)coefficient of x⁴

Let [x] be the greatest integer ≤ x. Then the number of points in the interval (-2,1), where the function f(x) = |[x] |+\(\sqrt{x -[x] }\)is discontinuous is _____.

Identify the correct stepwise procedure of the incorporation of new limited liability partnership:
A. Deciding the partners and designated partners.
B. Obtaining DPIN and digital signature certificate.
C. Electronic filing of some documents with ROC.
D. Checking the availability of name and drafting of LLP agreement.
E. Issuing certificate of Incorporation by ROC.
Choose the correct answer from the options given below:

Given below are two statements:
Statement I: Relation between the nominal rate and effective rate : ref= (1 + 2) * r k +1, where ref = effective rate of interest r = nominal rate of interest k = numbers of conversion periods per year
Statement II: The nominal interest rate is also known as force of interest.
In the light of the above statements, choose the correct answer from the options given below