List of practice Questions

If $a^2 + b^2 = 25$ and $ab = 12$, what is $(a + b)^2$?
A car travels 240 km in 4 hours. What is its speed in km/h?
What is the value of $2^{10}$?
If $f(x) = x^2 + 2x + 1$, what is $f(3)$?
The cost price of an article is Rs. 400. If it is sold at a profit of 25%, what is the selling price?
A bag contains 3 red and 5 black balls. Two balls are drawn at random. What is the probability that both are red?
A sum of money doubles in 5 years at simple interest. In how many years will it become 4 times?
The ratio of the ages of A and B is 3:4. Five years hence, the ratio will be 4:5. What is the present age of A?
If the roots of the equation $x^2 - 6x + k = 0$ are real and their product is 8, what is the value of $k$?
The area of a rectangle is 48 cm$^2$, and its perimeter is 28 cm. What is the length of the rectangle?
A and B can complete a task in 12 days, B and C in 15 days, and A and C in 20 days. How many days will A alone take to complete the task?
What is the value of $\log_2 8 + \log_3 9$?
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. What is the speed of the train?
If $2x + 3y = 15$ and $x - y = 1$, what is the value of $x + y$?
The sum of the first $n$ terms of an arithmetic progression is $3n^2 + 2n$. What is the 10th term?
A shopkeeper sells two types of items, A and B, at a profit of 20% and 30%, respectively. If the cost price of A is Rs. 100 and B is Rs. 200, and he sells 3 items of A and 2 items of B, what is the total profit?
If $x + y = 10$ and $xy = 21$, what is the value of $x^2 + y^2$?
What will be ratio of speed in first two seconds to the speed in next $4\,s$ ?
1.0 g of magnesium is burnt with 0.56 g O2 in a closed vessel. Which reactant is left in excess and how much? (At. wt. Mg = 24 ; O = 16)
What happens when an inert gas is added to an equilibrium keeping volume unchanged ?
If $m$ and $e$ are the mass and charge of the revolving electron in the orbit of radius $r$ for hydrogen atom, the total energy of the revolving electron will be :
If $A$ is a matrix of order $3$, such that $A (adj A) = 10\, I$, then $|adj A| $ =
All are adrenal gland over activity disorders EXCEPT
A particle is moving such that its position coordinates (x, y) are
(2m, 3m) at time t = 0,
(6m, 7m) at time t=2s and
(13m, 14m) at time t=5s.
Average velocity vector \((\overrightarrow{V}_{av})\) from t=0 to t=5s is:
A particle moves with simple harmonic motion in a straight line. In first $\tau$ sec, after starting from rest it travels a distance a and in next $\tau$ sec, it travels $2a$, in same direction, then