List of top Mathematics Questions

A student is to answer $10$ out of $13$ questions in an examination such that the he must choose at least $4$ from the first five questions. The number of choices available to him is :

Find the principal value of cot-1\(\sqrt3\)

Find the degree measure corresponding to $\frac{\pi}{32} rad$.
The value of $tan1^{\circ}\, tan2^{\circ}\, tan3^{\circ} \ldots \, tan89^{\circ}$ is
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is μ. The standard deviation for this distribution is given by ______.
Find the angle between two vectors (a→=2i^+j^−3k^) and (b→=3i^−2j^−k^).
Find the area bounded between the curve y=x2 and y=x3.
Find the value of n so that \(\frac{a^{n+1}+b^{n+1}}{a^n+b^n }\)n may be the geometric mean between a and b.
Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:
Write shaded portion as fraction
Simplify the expressions and find the value if x is equal to 2
(i) x + 7 + 4 (x – 5) (ii) 3 (x + 2) + 5x – 7 (iii) 6x + 5 (x – 2) (iv) 4(2x – 1) + 3x + 11
Express as km using decimals.
(a) 8 m
(b) 88 m
(c) 8888 m
(d) 70 km 5 m

Use suitable identities to find the following products: 

(i) (x + 4) (x + 10) 

(ii) (x + 8) (x – 10) 

(iii) (3x + 4) (3x – 5) 

(iv) \((y^ 2 + \frac{3 }{ 2}) (y^ 2 – \frac{3 }{ 2}) \)

(v) (3 – 2x) (3 + 2x)

If $\sec \, \theta - \tan \, \theta = \frac{1}{2}, $ then $\theta$ lies in

A die is thrown 6 times. If 'getting an odd number' is a success, what is the probability of:
 (i) 5 successes ?
 (ii) at least 5 successes ?
 (iii) at most 5 successes ?

Corner points of the feasible region for an LPP are (0, 2) (3, 0) (6, 0), (6, 8) and (0, 5). Let F = 4x + 6y be the objective function. The minimum value of F occurs at

At what points in the interval [0, 2\(\pi\)], does the function sin 2x attain its maximum value?

Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the 4th by 18.
See the figure and find the ratio of
(a) Number of triangles to the number of circles inside the rectangle.
(b) Number of squares to all the figures inside the rectangle.
(c) Number of circles to all the figures inside the rectangle.
triangles,circles
Sweety runs around a square park of side 75 m. Bulbul runs around a rectangular park with length 60 m and breadth 45 m. Who covers less distance?
The probability that a non-leap year will have only 52 Fridays is
The domain of $\cos^{-1} \sqrt{2x}$ is
Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?
Which of the following relation is NOT a function

Prove \(2sin^{-1}\ \frac {3}{5}=tan^{-1}\ \frac {24}{7}\)

If Meena gives an interest of Rs 45 for one year at 9% rate p.a.. What is the sum she has borrowed?