List of top Mathematics Questions

If the standard deviation of $3$, $8$, $6$, $10$, $12$, $9$, $11$, $10$, $12$, $7$ is $2.71$, then the standard deviation of $30$, $80$, $60$, $100$, $120$, $90$, $110$, $100$, $120$, $70$ is
Standard deviation of first $n$ odd natural numbers is
If $ y={{\sin }^{-1}}(3x-4{{x}^{3}})+{{\cos }^{-1}}(4{{x}^{3}}-3x) $ $ +{{\tan }^{-1}}(e), $ then $ \frac{dy}{dx} $ is equal to
The argument of the complex number $ \left( \frac{i}{2}-\frac{2}{i} \right) $ is equal to
Let $ \alpha $ and $ \beta $ be the roots of $ a{{x}^{2}}+bx+c=0 $ . Then, $ \underset{x\to \alpha }{\mathop{\lim }}\,\frac{1-\cos (a{{x}^{2}}+bx+c)}{{{(x-\alpha )}^{2}}} $ is equal to
The locus of a point which is equidistant from the points $(1,1)$ and $(3, 3)$ is

The value of \(\frac{1}{8}(3-4\text{ }cos\text{ }2\theta +cos\text{ }4\theta )\) is

Let $p : 57$ is an odd prime number, $\quad \, q : 4$ is a divisor of $12$ $\quad$ $r : 15$ is the $LCM$ of $3$ and $5$ Be three simple logical statements. Which one of the following is true?
If the mean of six numbers is $41$, then the sum of these numbers is
If $ y={{\tan }^{-1}}\left( \frac{\cos x}{1+\sin x} \right), $ then $ \frac{dy}{dx} $ is equal to
If the distance between the two points $(-1, a )$ and $(-1, -4a )$ is $10$ units, then the values of $a$ are
The area of the triangle formed by the points $(2, 2), (5, 5), (6, 7)$ is equal to (in square units)
If $ n=5, $ then $ {{{{(}^{n}}{{C}_{0}})}^{2}}+{{{{(}^{n}}{{C}_{1}})}^{2}}+{{{{(}^{n}}{{C}_{2}})}^{2}}+..... $ $ +{{{{(}^{n}}{{C}_{5}})}^{2}} $ is equal to
The number of words that can be formed by using all the letters of the word $PROBLEM$ only one is
The value of $\displaystyle \lim_{y \to \infty} \left[y \, sin \left(\frac{1}{y}\right) - \frac{1}{y} \right]$ is equal to
Factorise 
  1.  \(a^ 4 - b^ 4\) 
  2.  \(p^ 4 - 81\) 
  3.  \(x^ 4 - (y + z)^ 4\) 
  4.  \(x^ 4 - (x - z)^ 4\) 
  5.  \(a ^4 - 2a ^2b^ 2 + b ^4\)
Ekta earns 3000 Rs. in 10 days. How much will she earn in 30 days?
\(∫\frac{dx}{e^x+e^{-x}}\) is equal to
Are the following statements true?
(a) 40 persons: 200 persons = ₹15: ₹75
(b) 7.5 litres : 15 litres = 5 kg: 10 kg
(c) 99 kg: 45 kg = ₹ 44: ₹20
(d) 32 m: 64 m = 6 sec: 12 sec
(e) 45 km: 60 km = 12 hours: 15 hours
Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who made more runs per over?
An edge of a variable cube is increasing at the rate of \(3 cm/s\). How fast is the volume of the cube increasing when the edge is \(10 cm\) long?

Cost of 5 kg of wheat is  91.50 Rs.
(a) What will be the cost of 8 kg of wheat?
(b) What quantity of wheat can be purchased in Rs.183?

Consider the following distribution of daily wages of 50 workers of a factory

Daily wages (in Rs)500 - 520520 -540540 - 560560 - 580580 -600
Number of workers12148610

Find the mean daily wages of the workers of the factory by using an appropriate method.

A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine
  1. P(not A)
  2. P (not B)
  3. P(A or B)
A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?