List of practice Questions

An organic compound $[ A ]\left( C _4 H _{11} N \right)$, shows optical activity and gives $N _2$ gas on treatment with The structure of $A$ is :

In the wet tests for identification of various cations by precipitation, which transition element cation doesn't belong to group IV in qualitative inorganic analysis ?
Two different lenses are used in telescope because

The half-life of a radioactive nucleus is 5 years. The fraction of the original sample that would decay in 15 years is:

The logic operations performed by the given digital circuit is equivalent to:
logic operations
3, 8, 13, ......,373 are in arithmetic series. The sum of numbers not divisible by three is
An object moves x distance with speed \(v_1\) and next \(x\) distance with speed \(v_2\). The average velocity \(v\) is related to \(v_1\) and \(v_2\) as
Given A, B, C represents angles of a  ⃤ AB and cosA + 2 cosB + cosC = 2 and AB = 3 and BC = 7 then cosA – cosC is?
The following statements are given : 
(1) The average kinetic energy of a gas molecule decreases when the temperature is reduced 
(2) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature 
(3) The average kinetic energy of a gas molecule decreases with increases in volume 
(4) Pressure of a gas increases with increase in temperature at constant pressure 
(5) The volume of gas decreases with increase in temperature 
Choose the correct answer from the options given below :
The reaction of $H _2 O _2$ with potassium permanganate in acidic medium leads to the formation of mainly:
Which one of the following is more useful and effective for a quick visualization of a limited amount of information?
In the equation \(y_i = β_0+β_1.X_1+ε_1, \ β_0\) stands for
Given below are two statements about a normally distributed data.
Statement I : 95.45% of the occurrences will lie between \(\bar {X}±3σ\).
Statement II : 68.27% of the occurrences will lie between \(\bar {X}±1σ\).
In the light of the above statements, choose the correct answer from the options given below:
Read the given statements about correlation carefully and identify the correct statements.
A. A positive relation means that the variables vary in the same direction.
B. If two or more variables are related in a statistical way, is sufficient to conclude that a cause and effect relation exists.
C. A negative relation means that the two variables vary in the opposite direction.
D. Pearson's Product-Moment Method is a method used to calculate r.
Choose the correct answer from the options given below:
Match List I with List II :
List I (Method)List II (Characteristic)
(A)Mean(I)Identify what is most common
(B)Median(II)Based on sound mathematics
(C)Mode(III)Square-root of the variance
(D)Standard deviation(IV)Divides into 2 equal parts
Choose the correct answer from the options given below:
Ravi invested certain sum on simple interest. He invested two-third of his sum at 7% p.a and the remaining at 8% p.a. In 3 years he earned ₹1320 as interest. Find the sum invested by him (in ₹).
In what ratio must a grocer mix tea leaves costing Rs.600/kg and rs.650/kg. So that by selling the mixture at Rs.682/kg, he gains 10%?
If sec 5 A = Cosec A, then the value of A is
Which one of the following options is considered as the relative measure of dispersion?
Let T1 and T2 be two distinct common tangents to the ellipse \(E:  \frac{x^2}{6} + \frac{y^2}{3} = 1\) and the parabola \(P: y^2 = 12x\). Suppose that the tangent T1 touches P and E at the points A1 and A2, respectively and the tangent T2 touches P and E at the points A4 and A3, respectively. Then which of the following statements is(are) true?

In the following reactions, P, Q, R, and S are the major products.
The correct statement(s) about P, Q, R, and S is(are) 

x=logp and y=1/p differential equation

Identify the statement which is not correct regarding consumer behaviour and demand.
A system of ideal gas undergoes a thermodynamic process in which the initial pressure and volume are equal to the final pressure and volume. Let △Q is the heat supplied to the system,△W is the work done by the system and △U is the change in internal energy. The correct option is: 

Let \(f:R→R\) be a function defined by \(f(x)=x^2+9\).The range of \(f \) is