List of practice Questions

The symbols that we use to represent number names are called a numerals. Children see numerals such as “6” in their everyday lives constantly. However, numerals are ---------- than quantities.

If \(f(x)=-3x^2\), then f(x) is:

The value of \(∫(5x-2)^3\) dx is:

The solution of the differential equation \(\frac{dy}{dx}=-\frac{x}{y}\) is:

If \(e^y(x+2)=10\), then \(\frac{d^2y}{dx^2}\) is equal to:

There are two values of a for which the determinant, \(\Delta =\begin{bmatrix}1& -2& 5\\[0.3em]0& a& 1\\[0.3em] 0& 4& 2a\\[0.3em] \end{bmatrix} = 86\), then the sum of these values of a is:

A particle is moving along the curve \(y=\frac34x^4+3\). The point on the curve at which y-coordinate is changing thrice as fast as the x coordinate, is :

Match List - I with List - II.

List - I	List -II
(A) \(P(\overline{A} \cap B)\)	(I)\(P(A)+P(B)\)
(B)\(P(A\cap \overline B)\)	(II)\(P(A)+P(B)-2P(A\cap B)\)
(C) \(P[(A\cap \overline B) \cup (\overline A \cap B)]\)	(III)\(P(B)-P(A\cap B)\)
(D)\(P(A\cup B)+ P(A\cap B)]\)	(IV)\(P(B)-P(A\cap B)\)

Choose the correct answer from the options given below:

The value of objective function is maximum under linear constraints is

The region R on the set \(A=\{x \in Z:0\leq x\leq 12\}\) , given by \(R=\{(a,b):|a-b|\)  is a multiple of 4 \(\}\)  is :

The ratio of areas under the curves \(y=sinx \) and \(y=sin2x\) ,from \(x=0\) to  \( x=\frac{\pi}{3}\) is

\((6:30+19:50), \)in 24 hours clock is :

The point estimate for the mean number of sales of cars for the following data 103, 140, 92, 115, 110, is:

The effective rate which is equivalent to stated rate of \(6\%\) compounded semiannually is:

Given relation R={(x, y): y=x+5, x < 4, x, y ∈ N}. Where N is a set of natural numbers then :

The prices and the quantities of three commodities are given are :

The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of \(x\) is:

Which of the following statements are true ?
(A) Central limit theorem states that the sampling distribution of the mean (\(\bar x\)) approaches a normal distribution as the sample size increases.
(B) As per Central Limit Theorem, when the sample size increases, the mean (\(\bar x\)) for the data becomes closer to the mean of overall population.
(C) The shape of t-distribution does not depend on degree of freedom.
Choose the correct answer from the options given below :

Amit can do a task in 10 days and Bhanu can do the same task in 40 days. In how many days will the task be completed if they work together ?

If \(f(x)=\begin{cases} \frac{1-\cos4x}{x^2} & x\ne0 \\ k & x=0 \end{cases}\) is continuous at x = 0, then the value of k is :

The corner points of the feasible region determined by the system of linear inequalities are (0, 0), (0, 4), (4, 0), (2, 4) and (0, 5). If the maximum value of Z = ax + by where a, b > 0 occurs at both (2, 4) and (4, 0) then

If \(\vec{a}\) and \(\vec{b}\) are two non zero vectors such that \(|\vec{a}|\)=10, \(|\vec{b}|=2\) and \(\vec{a}.\vec{b}=12\), then value of \(|\vec{a}\times\vec{b}|\) is :

A shopkeeper bought an item for ₹600 and marked on it 50% higher than its cost price. He allowed 20% discount on it. Find his profit percentage.

Three partners A, B and C shared the profit in a business in the ratio 6:9:10 respectively. If A,B and C invested the money for 12 months, 7 months and 5 months respectively, then the ratio of their investment is:

A bike costing ₹120000 has a scrap value of ₹30000. If the book value of the bike at the end of third year is ₹90000, then the useful life of the bike is,

The perimeter of one face of a cube is 24cm, its volume must be :