List of practice Questions

An acid contains C, H and O atoms. On combustion analysis, 0.454 g of the acid gives 0.418 g of H$_2$O and 1.023 g of CO$_2$. What is the empirical formula of the acid?

Read the following statement:
While start-ups have__________ reach, _____ they introduce ________ products, they open-up ________markets.
Fill in the blanks meaningfully, in the above statement, from the following options.

Read the following statements and answer the question that follows.
1. Some countries are, at least, trying to curb emissions.
2. Morocco is building a colossal solar-power plant in the desert.
3. States in the Middle East and North Africa can do little on their own to mitigate climate change.
4. Saudi Arabia is not going to stop exporting oil, but it plans to build a solar plant that will be about 200 times the size of the biggest such facility operating today.
5. Politics often gets in the way of problem solving.
Arrange the above five statements in a logical sequence.

Read the following statements and answer the question that follows.
1. Behavioral models in finance most often critique the efficient market hypothesis, which states that if investors behave rationally then prices should reflect all available information about the financial asset in consideration.
2. A number of behavioral models, including feedback models where investors bid up the price, have been used to explain this phenomenon.
3. But asset price bubbles and crashes belie this conclusion.
4. Finance is one of the fields where behavioral models have been used extensively, enough for behavioral finance.
5. This idea of “irrational exuberance” is now widely accepted and used in financial analysis, especially while analyzing asset price bubbles.
Arrange the above five statements in a logical sequence.

Which of the following sentences uses a WRONG tag-question?

Read the following sentences and answer the question that follows.
1. We are going to a restaurant but we haven’t decided which one.
2. We went to the toilet behind the tree.
3. It was the November after we went to Indonesia.
4. My friend is travelling to UK.
5. She drinks medicine by a litre.
6. Would you rather go out or watch a TV.
Which of the above sentences have INCORRECT usages of articles?

Read the following sentences and answer the question that follows.
1. In my opinion, Tom Jones is a picaresque novel.
2. According to me, Tom Jones is a bildungsroman.
3. The books were distributed between Jessica, Neha and Swati.
4. The books were distributed among Jessica and Neha.
5. Life teaches us important lessons.
6. The life moves forward, teaches backward.
Which of the above sentences are grammatically CORRECT?

If \(\vec{a}.\vec{b}=0\) and \(\vec{a}+\vec{b}\) makes an angle 60° with \(\vec{a}\) then

A train is travelling at the rate of 36 km/hr. How many seconds it will take to cover a distance of 0.5 km?

A 300 metre long train is running at a speed of 72 km/hr.How many seconds it take to cross 500 metre long bridge ?

The speeds of two trains are in the ratio 6:7. If the second train runs 364 km in 4 hours, then the speed of the first train is

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: