List of practice Questions

Area of a square natural lake is $50$ (square miles). A diver wishing to cross the lake diagonally will have to swim a distance of—

A ladder is leaning against a wall which is $5$ meters high. If the ladder’s foot is 2 meters from the wall and the top touches the top edge of the wall, what is the length of the ladder?

Virtuoso means?

Three friends had dinner at a restaurant. When the bill arrived, Amit paid $\tfrac{2}{3}$ as much as Veena paid, and Veena paid $\tfrac{1}{2}$ as much as Tanya paid. What fraction of the bill did Veena pay?

Starting from his house one day, a student walks with a speed of $2\tfrac{1}{2}$ km/h and reaches school 6 minutes late. Next day he increases his speed by 1 km/h and reaches 6 minutes early. How far is the school from the house?

The number of students studying Physics, Chemistry, and Zoology are in the ratio $4:3:5$. If the numbers in these three disciplines increased by $50%$, $25%$, and $10%$ respectively in the next year, what is the new respective ratio?

A, B, and C start a business, each investing ₹20{,}000. After 5 months, A withdraws ₹5{,}000, B withdraws ₹4{,}000, and C invests ₹6{,}000 more. At the end of the year, the total profit is ₹69{,}900. What is B's share of the profit?

The difference between two numbers is $1365$. When the larger is divided by the smaller, the quotient is $6$ and the remainder is $15$. What is the smaller number?

A man purchased 40 fruits: apples and oranges for ₹17. Had he purchased as many oranges as apples and as many apples as oranges (i.e., swapped the quantities), he would have paid ₹15. Find the cost of one pair (one apple + one orange).

There are 6 tickets to the theater, 4 of which are for seats in the front row. If 3 tickets are selected at random, what is the probability that exactly two of them are for the front row?

When 75% of a number is added to 75, the result is the same as the number. Find the number.

If five spiders can catch five flies in 5 minutes, how many flies can one hundred spiders catch in 100 minutes?

The value is $5^{1/4} \times (125)^{0.25}$

When a heap of pebbles is grouped in 32, 40, or 72, it leaves remainders 10, 18, and 50 respectively. What is the minimum number of pebbles in the heap?

Symbiosis runs a corporate training programme. At the end of the first programme, the total takings were ₹38950. There were more than 45 but fewer than 100 participants. What was the participants' fee?

Milk and water in two vessels A and B are in the ratios 4:3 and 2:3 respectively. In what ratio should the liquids from both vessels be mixed to obtain a new mixture (vessel C) that is half milk and half water?

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle : Whoever, intending to dishonestly take any movable property out of the possession of any person without that person’s consent, moves that property in order to such taking, is said to commit theft.
Facts : R owns an antique watch but is unsure of its value. She took it to a jeweller Y for a free valuation that was offered by Y. Y took the watch home instead of valuing it and does not provide any explanation. R enters Y’s home, pushes Y to one side, and retrieves her watch by force. Has R committed theft ?

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle : Whoever enters into or upon property in the possession of another with intent to commit an offence in relation to that property or to intimidate, insult or annoy any person in possession of such property is said to commit criminal trespass.
Facts : H entered his friend L’s property because it was adjoining C’s home. From L’s garden, H shouted insults and tried to intimidate C. C seeks to sue for criminal trespass.

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle : Whoever gives a gratification to any person with the object of inducing him or any other person to exercise any electoral right or of rewarding any person for having exercised any such right commits the offence of bribery.
Facts: Mr. T, a candidate for elections, decided to visit rural households as part of an election campaign. He visited a household where an elderly man ‘A’ required an immediate but extremely expensive life-saving medical procedure. Mr. T gave money to the family for the operation. While leaving, he drew the family’s attention towards his party’s symbol in light of the upcoming elections. Has Mr. T committed the offence of bribery ?

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle : Whoever causes death by doing an act with the intention of causing death, or with the intention of causing such bodily injury as is likely to cause death, or with the knowledge that he is likely by such act to cause death, commits the offence of culpable homicide.
Facts : P was hunting in a small forested area which he knew to be inhabited by villagers and frequented by other hunters in large numbers. His friends did not know that other persons were likely to be present in the area. P wagered with his friends that he could hunt without using his visual senses. P put on a blindfold and on hearing some rustling leaves, shot multiple times, killing three people in the process. Has P committed culpable homicide ?

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle 1 : A ‘bailment’ is the delivery of goods by one person to another for some purpose, upon a contract that they shall, when the purpose is accomplished, be returned. The person delivering the goods is called the ‘bailor’. The person to whom they are delivered is called the ‘bailee’.
Principle 2 : In all cases of bailment the bailee is bound to take as much care of the goods bailed to him/her as a person of ordinary prudence would, under similar circumstances, take of his/her own goods of the same bulk, quantity and value as the goods bailed.
Facts : Aparna entered into a contract with Gagan to keep her goods in his warehouse until she was able to find a suitable buyer for them. Gagan kept his own goods also at the same warehouse. One night, certain thieves entered the warehouse and stole the goods of both Gagan and Aparna. It was discovered that even though Gagan had locked the main door, he had carelessly left the windows open and that the thieves had entered through the open windows. Aparna sued Gagan for damages as Gagan had failed to take due care of her goods. Decide.

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle : Nuisance shall be defined as use of land in a manner that causes unreasonable interference with another’s enjoyment of their land.
It is no defence to a claim of nuisance to say that the plaintiff(s) knew of the interference that would be caused.
Facts : The village of Xandiapur has a centuries old cricket ground which is owned by Xandiapur Cricket Club and hosts matches between local teams every week. It is the only sports ground in the village and serves as a critical source of recreation for the villagers. Mr. and Mrs. XYZ purchased a home right on the edge of the cricket ground’s boundary. Balls from cricket matches frequently fall into their residence’s garden and have caused severe damage to their windows. They have unsuccessfully tried to request the Cricket Club to install nets around the part of the boundary that is adjacent to their home. They seek to claim nuisance against the Xandiapur Cricket Club.

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle : Fraud includes the suggestion, as a fact, of that which is not true, by one who does not believe it to be true or the active concealment of a fact by one having knowledge or belief of the fact, with intent to deceive another party or her agent to enter into the contract.
Facts : Wind-on Ltd. is a leading manufacturer of wind turbines to harness wind energy to produce electricity. It is based out of Nagaland in India and has been manufacturing wind turbines since the early 1990s with national and international fame. Z Infrastructures Ltd. is a leading infrastructure firm with a proven track record in building energy installations and highways across India. Z Infrastructures wanted to expand its portfolio and operate a wind energy park to supply clean electricity. Representatives from Wind-on and Z Infrastructures carried out extensive negotiations, advised by leading law firms and commercial advisory firms on both sides, for the latter to establish a wind park in Odisha. Z Infrastructure wanted Wind-on to guarantee that the turbines will generate 54 lakhs Kwh of energy per turbine annually. Wind-on’s stated position was that generation of energy is dependent on availability of wind and they could not guarantee it. However, they provided an “estimate” in the contract for supply of turbines that the turbines will be able to generate around 50 lakhs Kwh per turbine annually. The turbines were supplied by Wind-on and operated by Z Infrastructure in Odisha for over 2 years. During this period, Z Infrastructure found that the average energy generation of each turbine came to around 35 lakhs Kwh annually. They were frustrated as the actual generation of each turbine was significantly lower than the generation estimate provided by Wind-on. They reached out to Lal & Co., a leading dispute resolution law firm to understand if they could initiate action against Wind-on for fraudulently representing the generation estimate of each turbine.
You are a lawyer at Lal & Co., and were asked if Wind-on had committed fraud by providing an inflated energy generation estimate

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle 1 : There are four stages of commission of any offence- formation of intention, preparation, attempt and commission of offence. The first two stages are not punishable but the last two stages are punishable. The attempt to commit an offence is an offence in itself.
Principle 2 : In order to be designated as an attempt to commit an offence, the act or series of acts done must be sufficiently proximate to the accomplishment of the intended offence.
Facts : Sachin bought a matchbox and lit a match near a haystack. He was about to light the haystack on fire and commit the offence of arson. However, before he could do the same, he realized that someone was secretly recording a video of him. Fearing that he would be easily caught, he extinguished the match. Sachin is prosecuted for the attempt to commit arson.

Apply the given legal principles to the facts provided in the following of the question and select the most appropriate answer.
Principle : Double jeopardy : No person shall be prosecuted and punished for the same offence more than once.
Facts : Arun was a Government Employee working in the examination and admissions department of Indian Institute of Science and Technology (IIST), the best engineering college in India. Arun was accused of having leaked the entrance examination paper to Kamlesh for a hefty bribe. Disciplinary proceedings were initiated against Kamlesh by IIST wherein he was found guilty and as a penalty, he was removed from employment. Thereafter, a criminal case was registered against him for having committed the offence of cheating by leaking the entrance paper. Arun takes the defence that the criminal prosecution is not permitted by the principle of double jeopardy. Decide.