List of practice Questions

If \(\lim_{{x \to 0}} \frac{\alpha e^x + \beta e^{-x} + \gamma \sin x}{x \sin^2 x} = \frac{2}{3}\), where \(\alpha, \beta, \gamma \in \mathbb{R}\) then which of the following is NOT correct?
Any police officer making an investigation under Section 160 of CrPC cannot require the attendance of a male, at a place other than the place of his residence who is:
According to Section 5 of the Specific Relief Act, 1963, a person entitled to the possession of specific immovable property may recover it in the manner provided in .........
A game consists of spinning an arrow around a stationary disk as shown below.
When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7, or 8 as shown.
Two such disks are used in a game where their arrows are independently spun.
What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?
The probability of having 53 Sundays in a randomly selected leap year is __________.
Tickets numbered \(1\) to \(20\) are mixed up and one ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of \(3\) or \(5\)?
Two cylindrical vessels of equal cross-sectional area 16 cm2 contain water upto heights 100 cm and 150 cm respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is [Take, density of water = 103 kg/m3 and g = 10 ms–2]
The average earning of each member in Chawla family is 25% less than average earning of each member of the Patil family. Total earning of Chawla family is 20% more than total earning of Patil family. The number of family members in Patil family is what percentage of the number of family members of the Chawla family.
In an aeroplane, the number of people aged 45 years and above is 20 and there are at most 26 people whose ages are below 45 years. The average age of all the people in the aeroplane is 32 years. What is the largest possible average age, in years of the people whose ages are below 45 years?
The average runs scored by Sumesh in 4 innings is 50. In the fifth inning, Sumesh scores some runs such that his average now becomes 62. In the 6th inning he scores 10 runs more than 5th inning and now the average of his last five innings becomes 80. How many runs did he score in his 1st innings.
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are :
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour ?
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was \(56%\) of the sum of their marks. The marks obtained by them are:
In the first 10 overs of a cricket game, the run rate was only \(3.2\). What should be the run rate in the remaining 40 overs to reach the target of \(282\) runs?

Study the following table and answer the questions based on it. Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.

What is the average amount of interest per year which the company had to pay during this period?

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): In an uniform magnetic field, speed and energy remains the same for a moving charged particle.
Reason (R): Moving charged particle experiences magnetic force perpendicular to its direction of motion.

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day ?
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A company produces 50 pens of Rs 450 and 80 pens of Rs 540. Suppose the cost curve is a straight line, them what will be the cost of producing 130 pens?
The price of four products A, B, C, D increased in 2 years by
A: k % & (k+1)% 
B: (k+2)% & (K-1)% 
C: (k+3)% & (K-2)% 
D: (k+4)% & (K-3)% 
If initially, all prices were equal. The product with lowest price after second increase is?
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had :
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is :
The cost price of \(20\) articles is the same as the selling price of \(x\) articles. If the profit is \(25%\), then the value of \(x\) is:
Who shall be the Registrar of Trade Marks for the purposes of Trade Marks Act, 1999?