List of practice Questions

Statement:
1. Some players are singers
2. All singers are tall
Conclusion:
I. Some players are tall
II. All players are tall

How are Harish and Sarita related?
Statements:
I. Harish's grandfather married Sarita's maternal aunt.
II. Harish and Sarita study in the same class.

How many students are there in a class?
Statements:
I. When arranged in alphabetical order, Dilip's name is the 15th and Vinod's is the 37th.
II. In reverse order, Vinod's name is 3rd.

The well known urinary antiseptic urotropine is formed when formaldehyde reacts with

This reaction is called

According to kinetic theory of gases

An ideal refrigerator has a freezer at a temperature of $-13^{\circ} C$. The coefficient of performance of the engine is $5$. The temperature of the air (to which heat is rejected) will be

Natural length of a spring is $60 \,cm$ and its spring constant is $4000 \,N / m$. A mass of $20\, kg$ is hung from it. The extension produced in the spring is $\left(\right.$ take $\left.g=9.8 \,m / s ^{2}\right)$ :

A cube has a side of length $1.2 \times 10^{-2} m$. Calculate its volume.

The magnitude of electric field intensity $E$, such that an electron placed in it would experience an electrical force equal to its weight, is given by

Fast neutrons can easily be solved down by

The force constant of a spring gun is $50 \,N / m$. If a ball of $20 \,g$ be shoot by the gun, so that its spring is compressed by $10 \,cm$, the velocity of the ball is:

The linear momentum $p$ of a body moving in one dimension varies with time $t$ according to the equation $p = a + bt^2$, where $a$ and $b$ are positive constant. The net force acting on the body is

A synthetic rubber which is resistant to the action of oils, gasoline and other solvents is

$K _{ b }$ for water is $0.52\, K / m$. Then $0.1 \,m$ solution of $NaCl$ will boil approximately at:

In which of the following molecules $S$ atom does not assume $sp ^{3}$ hybridsation?

If a new planet is discovered rotating around sun with the orbital radius double that of the earth, then what will be its time period? (in earth's days) (Take $\sqrt{2}=1.4$ )

An electron is accelerated under a potential difference of 182 V. The maximum velocity of electron will be (Charge of electron is $1.6 \times 10^{-19}C $ and its mass is $9.1 \times 10^{-31}kg) $

The mobility of charge carriers increases with

A 25 ft long ladder is placed against the wall with its base 7 ft from the wall. The base of the ladder is drawn out so that the top comes down by half the distance that the base is drawn out. This distance is in the range:

Rakhal is looking for a field where he can graze his cow. He finds a local farmer, Gopal, who agrees to rent his field to Rakhal for Rs. 1000 a year. Rakhal finds a post in the field and ties his cow to the post with a 25-foot rope. After some months, Gopal tells Rakhal that he will build a shed with four walls on the field with the post as one of the corner posts. The shed would be 15 feet by 10 feet. Rakhal agrees but he realizes that this arrangement would reduce the available area for grazing. What should be the modified rent to compensate for this loss of grazing area if Rakhal has to keep the cow tied to the same post with the same rope?

Rakhal is looking for a field where he can graze his cow. He finds a local farmer, Gopal, who agrees to rent his field to Rakhal for Rs. 1000 a year. Rakhal finds a post in the field and ties his cow to the post with a 25-foot rope. After some months, Gopal tells Rakhal that he will build a shed with four walls on the field with the post as one of the corner posts. The shed would be 15 feet by 10 feet. Rakhal agrees but he realizes that this arrangement would reduce the available area for grazing. What should be the modified rent to compensate for this loss of grazing area if Rakhal has to keep the cow tied to the same post with the same rope?

In a locality, there are ten houses in a row. On a particular night a thief planned to steal from three houses of the locality. In how many ways can he plan such that no two of them are next to each other?

The football league of a certain country is played according to the following rules:
- Each team plays exactly one game against each of the other teams.
- The winning team of each game is awarded 1 point and the losing team gets 0 point.
- If a match ends in a draw, both the teams get \(\tfrac{1}{2}\) point.
At the end of the tournament, it was found that:
- Exactly half of the points earned by each team were in games against the ten teams which finished at the bottom of the table.
- Each of the bottom ten teams earned half of their total points against the other nine teams in the bottom ten.
How many teams participated in the league?

In the country of Twenty, there are exactly twenty cities, and there is exactly one direct road between any two cities. No two direct roads have an overlapping road segment. After the election dates are announced, candidates from their respective cities start visiting the other cities. Following are the rules that the election commission has laid down for the candidates:
1. Each candidate must visit each of the other cities exactly once.
2. Each candidate must use only the direct roads between two cities for going from one city to another.
3. The candidate must return to his own city at the end of the campaign.
4. No direct road between two cities would be used by more than one candidate.
The maximum possible number of candidates is: