List of practice Questions

If the point \((α ,\frac{7√3}{3} )\) lies on the curve traced by the mid-points of the line segments of the lines x cosθ + y sinθ=7,θ∈( \(0,\frac{π}{2}\) ) between the coordinates axes, then α is equal to

Let a, b, c be three distinct real numbers, none equal to one. If the vectors \(a\hat{i}+\hat{j}+\hat{k},\hat{i}+b\hat{j}+\hat{k}\) and \(\hat{i}+\hat{j}+c\hat{k}\) are coplanar, then \(\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}\) is equal to

Let A=\(\begin{bmatrix} 1 & \frac{1}{51} \\ 0 & 1\end{bmatrix}\). If B=\(\begin{bmatrix} 1 & 2 \\ -1 & -1\end{bmatrix}\)A \(\begin{bmatrix} -1 & -2 \\ 1 & 1\end{bmatrix}\), then the sum of all the elements of the matrix \(\sum^{50}_{n=1}B^n\) is equal to

If the local maximum value of the function f( x )=\((\frac{√3e}{2 sin x} )^{ sin^2x}\) ,\( x ∈ ( 0,\frac{π}{2} )\), is \(\frac{k}{e}\), then \((\frac{k}{e})^8+\frac{k^8}{e^5}+k^8 \) is equal to

Among the following compounds, the one which shows highest dipole moment is

In the reaction given below ‘A’ is

Given below are two statements:
Statement I: Permutit process is more efficient compared to the synthetic resin method for the softening of water.
Statement II: Synthetic resin method results in the formation of soluble sodium salts.
In the light of the above statements, choose the most appropriate answer from the options given below:

Match List-I with List-II :

is reached with regents is List-I to from products in List-II.

Choose the correct answer from the options given below :

If the height of the tower used for L.D.S is increased by 21% then percentage change in range is?

Match List I with List II

LIST I		LIST II
A	Recombination in Bacteria	I	Transcription factor
B	Clover leaf model	II	snRNA
C	Spliceosome	III	Rec A protein
D	Zinc-finger	IV	t-RNA

Choose the correct answer from the options given below:

Find the value of
16÷4×4−3+2

A fruit vendor bought apples for 6,000. He sold 40% stock with 25% profit, another 40% stock with 15% profit and the rest with 10% profit. Find his profit percentage.

Out of the three numbers, first number is twice of the second number and thrice of the third number. The average of their reciprocals is 1/6. The numbers are:

A is facing the east direction. If he turns 270° he will face:

The tenth term of the given series 4Z, 5Y, 6X, 7W,______ will be:

In the given figure find the value of x (O is the center of the given circle)?

circle

The first general election in India was held in ____.

When was Jana-Gana-Mana (which later became 'National Anthem' of India) first sung and where?

Given below are two statements:
Statement I: Lord Mountbatten was the Viceroy when Simla conference took place.
Statement II: Indian Navy Revolt, 1946 took place when the Indian Sailors in the Royal Indian Navy at Bombay and Karachi rose against the Government.
In the light of the above statements, choose the most appropriate answer from the options given below:

Which film has been given the 'Best Film' award at the Dadasaheb Phalke International Film Festival 2023?

Who is the author of the book 'Bipin':'The Man Behind the Uniform'?

Which AI powered chat bot has been launched by Google recently?

In which case a historic judgement of the Supreme Court added reasonable restrictions on Freedom of Speech & Expression?

The United Nations Climate Change 2021 conference was held in which city?

All India Radio was established in which year?