List of practice Questions

If escape velocity one earth surface is 11.1 km/hr then find the escape velocity on the moon surface if mass of moon is \(\frac{1}{81}\) times of the mass of the earth and radius is \(\frac{1}{4}\) times radius of earth
Two trains of length 150 m each pass each other in 20 s when moving in opposite directions. When they move in the same direction, they take 40 s to pass each other completely. Find the speed of the faster train.
The number of common terms in the two sequences: 15, 19, 23, 27, . . . . , 415 and 14, 19, 24, 29, . . . , 464 is
What is the sum of integers from \(113\) to \(113113\) that are divisible by \(7\)?
Amar consumed 100 laddoos from Monday to Friday. Each day he consumed 6 more laddoos than the previous day. How many laddoos did he consume on Wednesday?
The number of 4 digit numbers without repetition that can be formed using the digits 1, 2, 3, 4, 5, 6, 7 in which each number has two odd digits and two even digits is
In how many ways can 10 books on Mechanics and 8 books on Quantum Physics be placed in a row such that two Quantum Physics books are not together?
In how many ways can the letters of the word POTICA be arranged such that the vowels occupy odd positions?
The difference between CI and SI for a loan is \rupee114 when invested for 2 years at the rate of 6\% per annum. Find the loan amount.
Three circles with radii 1 cm each are drawn touching each other. Find the area of the shaded portion (in cm$^2$). \includegraphics[width=0.5\linewidth]{image85.png}
A square, circle, regular hexagon and regular octagon all have the same perimeter \(P\). Which one has the maximum area?
A student goes to school at the speed of \( 2 \frac{1}{2} \) km/hr and reaches 6 minutes late. If he travels at the speed of 3 km/hr, he is 10 minutes early, then the distance to school from his home is:
Two trains of lengths 150 metres and 180 metres respectively, are running in opposite directions on parallel tracks. If their speeds are 30 km/hr and 24 km/hr respectively, then the time taken by them to cross each other is:
A boat goes 16 km upstream and 24 km downstream in 6 hours. It can go 12 km upstream and 36 km downstream in the same time. The speed of the boat in still water is:
Brigadier Rastogi travels from A to B at 40 km/hr on bike, from B to C at 10 km/hr on cycle. The distance AB equals BC. Then he travels from C to A via B at 24 km/hr by autorickshaw. Find his average speed.
Rohan and Rahul are 144 km apart at A and B. Rohan travels at 8 km/hr. Rahul travels 4 km in the first hour, 5 km in the second, 6 km in the third, and so on. Find the point where they meet.
A train runs at $60$ km/h but halts for a fixed time every clock hour. Due to halts, its average speed becomes $50$ km/h. Find the duration of each halt.
A robot is 4 m long and placed at a corner of a \(16\text{ m}\times 30\text{ m}\) rectangular field. It faces the diagonally opposite corner and reaches that corner in \(15\) s. What is its speed?
Robot A, B and C make \(25\%\), \(35\%\) and \(40\%\) of circuit boards, with defect rates \(5\%\), \(4\%\) and \(2\%\) respectively. If one board is picked at random, what is the probability it is defective?
Average stipend of a group is \rupee50 per day. The difference between maximum and minimum stipend is \rupee45. If both these students are excluded, the average decreases by \rupee1. The minimum earning of any student lies between \rupee42 and \rupee47, and the number of students is a prime number whose both digits are also prime. Find the initial number of students.
Ritesh is twice as good as Mitesh. Ritesh takes 30 days less than Mitesh to finish a task. How long will they take to complete the task together?
Valve A fills a bathtub in 10 hours and valve B fills it in 15 hours. A and B are opened together; later B is closed. The tub is filled in 8 hours in total. For how long was B open?
A mobile manufacturing company: 6 staff members packed 6 mobiles in 6 minutes. The management wants 60 mobiles packed in 60 minutes. How many staff members are required in total?
A $200$-litre container initially has $x$ litres of milk (only milk). $6$ L of milk is removed and $5$ L water is added. Then $6$ L of the mixture is replaced with $6$ L water. Finally, milk and water are in the ratio $9:16$. Find $x$.
Volenti non fit injuria is a: