List of practice Questions

The sum of the squares of three consecutive integers is 110. What is the smallest integer?
A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both are opened together, how long will it take to fill the tank?
If $\sin \theta + \cos \theta = \sqrt{2}$, what is $\sin \theta \cos \theta$?
The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and the second to the third is 5:8, what is the second number?
If $3x = 4y = 12z$, what is the ratio $x:y:z$?
The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other number?
A sum of Rs. 2000 is invested at 10% per annum compound interest. What is the amount after 2 years?
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 $4\,s$ ?