List of practice Questions

A train running at the speed of 72 km/hr can cross a stationary pole in 10 seconds. How much time will it take to overtake a train of length 500 metres running at 54 km/hr in the same direction?

A train of length 300 metres runs at a speed of 72 km/hr. In how much time it will cross a platform of length 200 metres?

Two trains of lengths 300 metres and 500 metres are running at speeds of 90 km/hr and 54 km/hr, respectively. They are running in same direction and the smaller train is 400 metres behind larger train. In how much time will smaller train overtake the larger train?

The number of ways a committee of 3 women and 5 men can be formed from a panel of 8 men and 5 women is

If p and q are positive integers such that \(^{p+q}P_2=42\ and\ ^{p-q}P_2=20\), then the values of p and q respectively

Inside a triangular park, there is a flower bed, forming a similar triangle. around the flower bed runs a uniform path of such a width that the sides of the park are exactly double the corresponding sides of the flower bed. The ratio of areas of the path to the flower bed is :

Area of a square natural lake is 50SQ kms. A diver wishing to cross the lake diagonally will have to swim a distance of -

A letter is lying against a wall which is 5 meters high. If the ladder slips 2 meters away from the wall, the top of the ladder touches the foot of the wall, the length of the ladder is.

Given questions below is followed by three statements. Study the questions and statements, identify which option is necessary to answer the question.
What is the principal sum ?
I. The interest amount after 30 months is half the interest amount after five years.
II. The sum amounts to rs 750 in a five years at simple interest rate.
III. The rate of interest is 8% p.a.

If $a^x = b^y = c^z$ and $b^2 = ac$, then the value of $y$ is equal to:

In a group of cows and hens, the number of legs is 14 more than twice the number of heads. The number of cows is:

If A and B are the coefficients of $x^n$ in the expansion of $(1 + x)^2n$ and $(1 + x)^2n - 1$, then:

If the system of linear equations: \[ x + 2ay + az = 0 \] \[ x + 3by + bz = 0 \] \[ x + 4cy + cz = 0 \] has a non-zero solution, then $a, b, c$ are:

Symbiosis runs a corporate training programme. At the end of running the first programme its total takings were Rs. 38950. There were more than 45 but leass than 100 particulars. What was the participants fee the programme ?

A man purchased 40 fruits; apples and oranges for rupees 17. Had He purchased as many oranges as apples and as many apples as oranges. He would have paid rupees 15. find the cost of one pair of an Apple and an orange.

Starting from his house one day, a student walks with a speed of 2\(\frac{1}{2}\) kmph And reaches his school 6 minutes late. Next day he increases his speed by 1KMPH and reaches his school six minutes early. How far is the school from the house ?

If the middle term of the $A.P$ is $300$ then the sum of its first $51$ terms is

There are six tickets to the theater, four of which are for seats in the front row. 3 tickets are selected at random. What is the probablity that two of them are for the front row ?

Henry’s law constant for the solubility of N₂ gas in water at 298K is 1.0 × 10⁵ atm. The mole fraction of N₂ in air is 0.8. The number of moles of N₂ from air dissolved in 10 moles of water at 298K and 5 atm pressure is

The average of five consecutive numbers is n. if the next two numbers are also included then the average will-

If five spiders can catch five flies in 5 minutes. How many flies can hundred spiders catch in 100 minutes ?

Milk and water in two vessels A and B are in the ratios 4:3 and 2:3 respectively. In what ratio the liquids in both the plate should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water.

The number of students studying physics chemistry and zoology in a college were in the ratios of 4:3:5 respectively. If the number in these three disciplines increased by 50% 25% and 10% respectively, in the next year, then what was the new respective ratio ?

A rainy day occurs once in every 10 days Half of the rainy days produce rainbows. What percent of all the days do not produce rainbow ?