List of top Quantitative Ability and Data Interpretation Questions asked in XAT

Sarfaraz and Khalid got a big packet of candy each as their birthday gifts. Sarfaraz’s packet has 90 gems and the numbers of yellow, pink, and blue gems are three prime numbers. The number of yellow gems is the least and the number of blue gems is highest. Khalid’s packet has 78 gems and the numbers of yellow, pink, and blue gems are three consecutive even numbers in the same order. The number of blue gems is the highest among the three even numbers. Find the LCM of the minimum number of blue gems in Sarfaraz’s packet and the number of yellow gems in Khalid’s packet.

Mr. Verma invested Rs. 90,000 in a mutual fund which increased by a% the first year. He withdrew the extra amount after a year. From then onwards, he received compound interest of 3a% which is compounded once every 4 months. But the income tax department charged 30% on the interest which exceeds 20% of the initial investment. Find the amount withdrawn by him after one year if he pays Rs. 14256 as tax.

If repetition of digits is allowed, how many five-digit numbers less than 13000 are possible such that the product of the digits of the number is 96?

Pawan borrowed Rs. 30,000 from a greedy money lender for a certain rate of compound interest and agreed to return it after 1 year. As he could not pay it at the end of the year, the interest rate was increased by 10%. As Pawan could not pay the debt the second year, the money lender increased the interest rate by another 20%. If Pawan closed the loan by paying an interest of Rs. 33590.625 at the end of the third year, find the initial interest rate.

Which of the following can be the minimum number of genetically modified rodents that are hamsters?

If the number of rats is 60, what is the ratio of the number of orange-eyed hamsters and blue-eyed rats?

It is known that there was a tie in one of the rounds. When Yarsolav was eliminated, who was the 2nd most voted?

What was the number of votes secured by the person who was eliminated in round 5?

If \(1+\frac{\tanθ}{\cotθ}+\bigg(\frac{\tanθ}{\cotθ}\bigg)^2+\bigg(\frac{\tanθ}{\cotθ}\bigg)^3+...∞ = \frac32\), then find the value of \(\frac{\tan^2θ-\tan^4θ}{\cot^4θ-\cot^2θ}\).

Mrs. Biswah bought two types of walnuts from a wholesale shop, where the cost of the second type is 33.33% of that of the first type. She then mixed both the types of walnuts and sold them for Rs. 520/kg and made a profit of 30%. If the quantity of the first type of walnut is 20% of that of the second type, then find the average of the cost prices of both types of walnut per kg.

Which of the following can be the perimeter of a triangle if one of its sides is 7776 units, the second side (say p) is a square of the perfect square of an integer number, and the third side (say q) is a power of 6. It is also known that q is six times of p.

S is a set of five-digit numbers formed using the natural numbers between 2 and 8 exactly once. How many numbers of set S are divisible by 11?

Direction: Ten pirates - Horvi, Rangirk, Felicia, Ana, Noa, Gangra, Yarsolav, Daman, Lima and King took a vote on who should be the leader.
A pirate always votes for themselves though. So, they decided on voting out the one who shouldn’t be a leader for the first five rounds and for the remaining four rounds, the leader would be voted for. A pirate never votes against themselves.
At the end of each of the nine rounds, one person was eliminated and that person couldn’t take part in the voting. In case of a tie in the voting, eliminated people chose one of the tied people to vote out.
At the end of the voting for the first five rounds – “For who shouldn’t be the leader” - the total votes were as shown as in the table below:

Pirate	Votes Against
Horvi	0
Rangirk	0
Felicia	0
Ana	9
Noa	4
Gangra	5
Yarsolav	5
Daman	6
Lima	4
King	7

In each of the five rounds, only two pirates were voted against. The table given below shows the number of rounds in which each of the pirates was voted against.

Pirate	Votes Against in (Number of rounds)
Horvi	0
Rangirk	0
Felicia	0
Ana	1
Noa	3
Gangra	1
Yarsolav	1
Daman	1
Lima	1
King	2

It is known that King was not voted out. He was the second most voted pirate in two successive rounds.
Who was eliminated in Round 4 if tie is not possible in the first five rounds?

If l, m, and n are real numbers such that \(l + m = 10lm, m + n = 12mn\), and \(n + l = 4nl\), then find the value of \(\frac{180lmn}{lm+mn+nl}\).

Direction: A few statements have been given in each of the following questions. Analyse the given statements and answer whether the data given in the statements is sufficient to answer the question or not.
A box contains 20 tops of the same size and pattern. Each top is either white, black, or grey in colour. Find the number of black tops in the box.
Statement I: The probability of picking a black top is the same as the probability of picking a grey top.
Statement II: The number of grey tops is more than that of white tops.
Statement III: The probability of picking a white top is 20%.