List of practice Questions

Let $f:(0,1) \rightarrow R$ be a function defined by $f(x)=\frac{1}{1-e^{-x}}$, and $g(x)=(f(-x)-f(x))$ Consider two statements (I) $g$ is an increasing function in $(0,1)$ (II) $g$ is one-one in $(0,1)$Then,

Match the idioms in List I with the meanings in List II

	LIST I		LIST II
A	Pour oil on troubled waters	I	not to commit oneself
B	Rule the roast	II	to find fault with
C	Sit on the fence	III	to pacify the matters
D	Pick holes	IV	To dominate

Choose the correct answer from the options given below:

A conducting circular loop of radius 'a' and resistance R is kept on a horizontal plane. A vertical time-varying magnetic field B = 2t is switched on at time t = 0. Then which of the following statement(s) is/are correct?

A box of dimensions 25cm x 30cm x 45cm is to be painted. A container which contains colour has a capacity to paint 1075cm². How many containers are required to paint the box completely?

Two capacitors, of capacitance C, are connected in series. If one of them is filled with a dielectric substance K, what is the effective capacitance?

The average age of three boys is 22 years. Eight times the age of the youngest of them is 3 times the sum of the ages of the other two boys. Find the age of the eldest of them if he is 8 years older to the youngest of them.

PIV of a SCR is 650V. Find out the required Voltage if the safety factor is 2.

The length of a rectangular plot is 30 m more than its breadth. If the cost of fencing the plot @ 25 per meter is Rs. 5000, what is the length of the plot in m?

If AMAN equals 79, then HAPPY= ?

What is the dimension of the Gravitational constant?

Calculate the ratio of radii of second and third bohr orbit of H-atoms

Let 𝛂 be the remainder (22)\(^{2022}\) + (2022)\(^{22}\) is divided by 3 and ꞵ be the remainder when the same is divided by 7 then 𝛂\(^2\) + ꞵ\(^2\) is?

The volume of a certain amount of ideal gas at 30°C and 200 cm of Hg pressure is 90 ml. The gas is expanded to 300 ml keeping the temperature constant, then the pressure of the expanded gas is

The work function for two metals are 9eV and 4.5eV. Find the approx. difference between their threshold wavelength. (use hc = 1240 eV - nm)

Let the plane P : 4x – y + z = 10 be rotated by an angle \(\frac{π}{2}\) about its line of intersection with the plane x + y – z = 4. If α is the distance of the point (2, 3, -4) from the new position of the plane P, then 35α is

Arrange the stages of HIV infection in humans sequentially.
Introduction of viral DNA in the cell
Production of multiple viruses
Infection of human cell by virus
Incorporation of viral DNA into host genome
Choose the correct answer from the options given below:

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: India, that is Bharat shall be Union of States.
Reason R: States have right to recede.
In the light of the above statements, choose the most appropriate answer from the options given below:

In the given circuit, current through 30 resistor is equal to.

Arjun has been given following incomplete code, which takes a student details (name, marks) and writes into a binary file student.dat.
import pickle
stname = input("enter name")
stmarks int(input ("enter marks"))
stdict ("Name" : stname, "Marks" : stmarks)
           _________     :      \( \#\) line 1
          _________      :     \(\#\) line  2
           _________     :      \( \#\) line 3
           _________     :      \(\#\) line 4           
 
print (r)
if r["marks"] \(>=\) 85:
          print("eligible for scholarship") 
else:
          print("not eligible for scholarship")
Complete code for line 1 to open the given binary file in f object using with statement:

St. Angles school at Mumbai is setting up the network between its different wings of school campus. There are 4 buildings named Senior(S), Junior (J), Admin(A) and Hostel (H).

Senior(S)	Junior(J)
Admin(A)	Hostel(H)

Distance between various wings:

A to S	100m
A to J	110m
A to H	400m
S to J	300m
S to H	`70m
J to H	80m

No. of computers in each wing :

Wing A	20
Wing S	150
Wing J	50
Wing H	25

 

Given Dataframe, df:

	State	Geographical_Area	Area_Under_Dense_Forest
1	Manipur	78438	2797
2	Delhi	1483	6.72
3	Kerala	38852	1663
4	Tamil Nadu	40699	1904

Based on the above data, solve questions:

Vrinda enterprises is planning to setup a secure network in Delhi for its web based activities. It is having 4 buildings. Answer the questions that follows based on the information given below.

Distance Between Buildings
A to B	40m
B to C	60m
C to D	125m
A to D	102m
B to D	190m
A to C	162m

No of Computers
Block	Computers
A	25
B	80
C	150
D	35

Based on following paragraph answer the question:
Goods and service tax is the single comprehensive indirect tax implemented on July 1, 2017. It is a destination based tax that has Input Tax Credit in the supply chain. GST is applicable throughout the country.
GST is considered the biggest tax reform since independence. It is implemented through 101th Constitutional Amendment Act.
The aim of GST is to reduce the cost of business operations and cascading effect of various taxes. By implementing GST it is expected that GDP will rise by about 2%. Compliance will also be easier as all tax payment related services are available online through a common portal. GST has expanded the tax base and introduced higher transparency in the taxation system.