List of practice Questions

The coefficient of \( x^{50} \) in the expression of \[ (1 + x)^{1000} + 2x(1 + x)^{999} + 3x^2(1 + x)^{998} + \ldots + 1001x^{1000} \]

Statement: No table is a chair. Not a single chair is a stand. Every stand is a statue. 

Conclusion: 1. Some statues which are stands are tables as well. 2. Some statues are not chairs.

Fill the blanks with the most appropriate combination of options.
Further, to augment bond market liquidity, corporates need to be encouraged to __________ exiting bonds under the same International Securities Identification Number, to duly shore up floating __________.
The following chart shows the percentage of students studying in different IITs in the year 2022. The ratio of male students to female students in each IIT is given. The number of male students in IIT Bombay is what percent more than the number of male students in IIT Kharagpur?
The table below shows the percentage of students in different IITs, along with the ratio of male to female students in each IIT.

600 players participated in four different events: volleyball, table tennis, badminton, and lawn tennis. The ratio between male and female players was 11:4 in volleyball, and 10% of the female players participated in table tennis. The remaining female players participated in badminton and lawn tennis in a ratio of 1:3. The ratio of male players who participated in volleyball and other events together is 3:5. 4% of those male players who did not participate in volleyball participated in lawn tennis. The remaining male players participated in table tennis and badminton in a ratio of 5:3. What is the ratio between the female players who participated in lawn tennis and table tennis?

In this question, a word has been given followed by four other words, one of which cannot be formed by using the letters of the given word. Find this word. 
Word: CHEMOTHERAPY

Permit : _________:: Enforce : Relax (By word meaning)

In the following question, select the related number that will correct the place of the question mark. 
\[ 108 : 11664 :: 112 : \, ? \]

Find a number from the given options which best completes the series: 39, 416, 525, \(\dots\), 749, 864 
 

Which figure out of given options can replace ‘?’.
Figure with symbols
Figure with pattern
Which among the following figure would form after folding along the dotted line ?
Which one set of letters when sequentially placed at the gaps in the given letter series would complete it?
fgg _____ gff _____ f _____ gfg _____ fgfo
Identify the next two numbers in the following sequence: 17, 20, 9, 12, 5, 6, 3, 2, ?, ?
The phrase ‘hold good’ means:
The antonym of ‘justice’ is:
A selfish person who always thinks of himself is called:
The antonym of ‘better’ is:
The following chart shows the percentage of students studying in different IITs in the year 2022. The ratio of male students to female students in each IIT is given. What is the total number of male students in IIT Delhi and IIT Roorkee?
The table below shows the percentage of students in different IITs, along with the ratio of male to female students in each IIT.

Find from amongst the figure, the one which resembles the pattern formed when the transparent sheet is folded along the dotted line.
the pattern formed when the transparent sheet is folded along the dotted line.

Write the antonym: Retribution

Book : Publisher :: Film : ?
Yamini has at least two sisters younger than her, Rakhi, Pooja, Yamini, and Sweta are four sisters. Pooja is younger than Rakhi who is not oldest. Sweta is older than Pooja but younger than Rakhi, then who is the oldest among them?
The phrase ‘point out’ means:
The following chart shows the percentage of students studying in different IITs in the year 2022. The ratio of male students to female students in each IIT is given. What is the total number of male students in all IITs put together?
The table below shows the percentage of students in different IITs, along with the ratio of male to female students in each IIT.

The following chart shows the percentage of students studying in different IITs in the year 2022. The ratio of male students to female students in each IIT is given. The number of female students in IIT Kanpur is what percent of the total number of students in it?
The table below shows the percentage of students in different IITs, along with the ratio of male to female students in each IIT.