List of practice Questions

If $\frac{dy}{dx}$ = y+7 and y(0) = 0, then the value of y(1) is?

The number of ways to distribute 20 chocolates among three students such that each student gets atleast one chocolate is

Let $A$ be the event that the absolute difference between two randomly choosen real numbers in the sample space $[0,60]$ is less than or equal to a If $P(A)=\frac{11}{36}$, then a is equal to _____

The remainder when $(11)^{1011}+(1011)^{11}$ is divided by $9$ is

In a given data set mean of 40 observations is 50 and standard deviation is 12. Two readings which were 20 and 25, were mistakenly taken as 40 and 45. Find correct variance of data set

In the expansion of $(2^\frac{1}{4}+3^{-\frac{1}{4}})^n$, the ratio of $5^{th}$ term from start and $5^{th}$ term form end is $\sqrt 6 : 1$ , then find $3^{rd}$ term

$(2x^3-\frac{1}{3}x^8)^5$ → coefficient of $x^4$

It is observed that characteristic $X$-ray spectra of elements show regularity When frequency to the power " $n$ " ie $v^n$ of $X$-rays emitted is plotted against atomic number " $Z$ ", following graph is obtained

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason $R$
Assertion A :

can be easily reduced using $Zn - Hg / HCl$ to

Reason R : $ Zn \cdot Hg / HCl$ is used to reduce carbonyl group to $- CH _2-$ group.

In the light of the above statements, choose the correct answer from the options given below:

A compound A on reaction with X and Y produces the same major product but different by product a and b Oxidation of a gives a substance produced by ants X and Y respectively are :

In the above conversion of compound $( X )$ to product $( Y )$, the sequence of reagents to be used will be:

Major product of the following reaction is

Match List I with List II.

List-I		List-II
A	Sulphate	I	Pesticide
B	Fluoride	II	Bending of bones
C	Nicotine	III	Laxative effect
D	Sodium arsinite	IV	Herbicide

Choose the correct answer from the options given below:

Which of the following has maximum number of l.p. at central atom?

The geometry around boron in the product 'B' formed from the following reaction is $ BF _3+ NaH \xrightarrow{450 K } A + NaF$ $ A + NMe _3 \rightarrow B$

Red ppt. by Benedict solution is?

What is the chemical formula of freon gas?

$20 \,mL$ of $01 \,M \,NH _4 OH$ is mixed with $40\, mL$ of $005\, M \,HCl$ The $pH$ of the mixture is nearest to: (Given: $K _{ b }\left( NH _4 OH \right)=1 \times 10^{-5}, \log 2=030$, $\log 3=048, \log 5=069, \log 7=084$, $\log 11=104$ )

The number of correct statement/s from the following is
A. Larger the activation energy, smaller is the value of the rate constant
B. The higher is the activation energy, higher is the value of the temperature coefficient
C. At lower temperatures, increase in temperature causes more change in the value of $k$ than at higher temperature
D. A plot of $\ln k$ vs $\frac{1}{T}$ is a straight line with slope equal to $-\frac{E_a}{R}$

How many meaningful words can be formed using the first, the third, the fifth and the sixth letters of the word TRADEMARK using each letter only once in each word?

Arrange the soils of India in descending order of their percentage share in total area of the country.
A. Alfisols
B. Vertisols
C. Entisols
D. Inceptisols
Choose the correct answer from the options given below:

Which one of the following theories does not explain the origin of tides?

R₁ = (15 ± 0.5) Ω
R₂ = (10 ± 0.5) Ω
Find % error in equivalent resistance if resistors R₁ and R₂ are connected in parallel ?

Density (p) of a body depends on the force applied (F), its speed (v) and time of motion (t) by the relation p = KF^av^bt^c , where K is a dimensionless constant. Then

A Particle is projected vertically upward reaches 136 m height. What will be the maximum range for the particle projected with same speed ?