List of practice Questions

Two numbers in the base system $B$ are $2061_B$ and $601_B$. The sum of these two numbers in decimal system is 432. Find the value of $1010_B$ in decimal system.

The policy announcement was made to the much chagrin of the farmers.

Asian Infrastructure Investment Bank (AIIB) has approved USD 150 million equity investment loan to the India Infrastructure Fund. It is the bank's first such loan to fund private projects. AIIB based in-?
Which Indian student has been selected to represent India as young journalist at the global Football for Friendship (F4F) social programme?

The Bank of Bombay (15 April 1840) and the Bank of Madras (1 July 1843) followed the Bank of Bengal. These three banks remained at the apex of modern banking in India till their amalgamation as the Imperial Bank of India on 27 January?

The District Primary Education Programme in India is supported by:
Which of the following Mahatma Gandhi series of currency notes issued by RBI has "ecology" depicted on it?
Which country is providing technology to develop the coastal road project in Maharashtra?
The first BRICS film festival has begun in which of the following cities in India?
Which of the following state governments has signed a memorandum of understanding (MoU) with the Ministry of Civil Aviation to develop 11 airports and airstrips to boost regional connectivity recently?

In an equilateral triangle $ABC$, if the area of its in-circle is $4\pi\ \text{cm}^2$, then find the length of the angle bisector $AD$?

If $x+\dfrac{1}{x-1}=5$, then find the value of $\,(x-1)^2+\dfrac{1}{(x-1)^2}\,$?

A student was asked to divide a number by 6 and add 12 to the quotient. He however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been?

The salary of a man increases by 10% in the first year, then by 20% in the second year and then by 25% in the third year. If the last increase is equivalent to an increase of Rupees 6600, then what is the equivalent of the second increase?

If $\sec(7q+28^\circ)=\csc(30^\circ-3q)$, then find $q$.
Find the value of $\cos 24^\circ+\cos 55^\circ+\cos 125^\circ+\cos 156^\circ$.

In which year is the quantity of export the maximum ?

If the product of zeroes of the polynomial \( ax^2 - 6x - 6 \) is 4, find the value of 'a'
If $ax + by = 6$, $bx - ay = 2$ and $x^2 + y^2 = 4$, then the value of $(a^2 + b^2)$ would be:
$f$ is a function for which $f(1)=1$ and $f(x) = 2x + f(x-1)$ for each natural number $x \geq 2$. Find $f(31)$.
$a, b, c$ are integers, $|a| \ne |b| \ne |c|$ and $-10 \le a,b,c \le 10$. What will be the maximum possible value of $[\,abc - (a+b+c)\,]$?
If $a,b,c$ are three consecutive integers between $-10$ and $+10$ (both inclusive), how many {integer values are possible for} \[ \frac{a^3+b^3+c^3+3abc}{(a+b+c)^2}\,? \]

In 2016, what per cent of the total revenue came from books?

If 2017 were to show the same growth as 2016 over 2015, the revenue in 2017 must be

There are six boxes numbered 1, 2, 3, 4, 5, 6. Each box is to be filled up either with a white ball or a black ball in such a manner that at least one box contains a black ball and all the boxes containing black balls are consecutively numbered. The total number of ways in which this can be done equals: