List of top General Aptitude Questions asked in Xavier Aptitude Test

Not just the absence of ________ , but also the presence of ________ and honesty is required to bind up the nation’s wound.

Fill in the blanks with the most appropriate option that follows:
The defense proposes to show that the incident that the prosecution so ________ rejects as ________ did indeed take place.

If x and y are real numbers, then the minimum value of $x^2 + 4xy + 6y^2 - 4y + 4$ is

Let X be a four-digit positive integer such that the unit digit of X is prime and the product of all 4 digits of X is also prime. How many such integers are possible?

In a circular field, AOB and COD are two mutually perpendicular diameters having length of 4 meters. X is the mid-point of OA. Y is the point on the circumference such that $\angle YOD = 30^\circ$. Which of the following correctly gives the relation among the three alternate paths from X to Y?

There are two types of employees in Sun Metals, general graduates and engineers. 40% of the employees in Sun Metals are general graduates, and 75% of the engineers earn more than Rs. 5 lakh/year. If 50% of the organisation’s employees earn more than Rs. 5 lakh/year, what proportion of the general graduates employed by the organisation earn Rs. 5 lakh or less?

In an equilateral triangle ABC, whose length of each side is 3 cm, D is the point on BC such that BD = (1/2) CD. What is the length of AD?

Two poles of height 2 meters and 3 meters are 5 meters apart. The height of the point of intersection of the lines joining the top of each pole to the foot of the opposite pole is:

The supervisor of a packaging unit of a milk plant is being pressurised to finish the job closer to the distribution time, thus giving the production staff more leeway to cater to last-minute demand. He has the option of running the unit at normal speed or at 110% of normal – “fast speed”. He estimates that he will be able to run at the higher speed for 60% of the time. The packet is twice as likely to be damaged at the higher speed which would mean temporarily stopping the process. If a packet on a randomly selected packaging run has probability of 0.112 of damage, what is the probability that the packet will not be damaged at normal speed?

The operation $(x)$ is defined by: (i) $(1)=2$
(ii) $(x+y)=(x)\cdot(y)$
for all positive integers $x$ and $y$.
If $\sum_{x=1^{n} (x)=1022$, then $n=$ ?}

Amarendra and Dharmendra are brothers. One day they start at the same time from their home for Tatanagar railway station in their respective cars. Amarendra took 25 minutes to reach the station. After reaching the station Amarendra found that Dharmendra is 2500 m away from the station. The distance of Tatanagar Station from their home is 15 km. Next day Dharmendra decided to start 7 minutes early. If they drive at the same speed as the previous day then Amarendra will reach the station:

A manufacturer has 200 litres of acid solution which has 15% acid content. How many litres of acid solution with 30% acid content may be added so that acid content in the resulting mixture will be more than 20% but less than 25%?

In a clock having a circular scale of twelve hours, when time changes from 7:45 A.M. to 7:47 A.M., by how many degrees the angle formed by the hour hand and minute hand changes?

Let S₁, S₂, … be the squares such that for each n ≥ 1, the length of the diagonal of S_n is equal to the length of the side of S_n+1. If the length of the side of S₃ is 4 cm, what is the length of the side of S_n?

If all letters of the word "CHCJL" be arranged in an English dictionary, what will be the 50th word?

A manufacturer produces two types of products - A and B, which are subjected to two types of operations, viz. grinding and polishing.
- Each unit of product A takes 2 hours of grinding and 3 hours of polishing.
- Each unit of product B takes 3 hours of grinding and 2 hours of polishing.
The manufacturer has 10 grinders and 15 polishers. Each grinder operates for 12 hours per day and each polisher for 10 hours per day.
The profit margin per unit of A and B are Rs. 5 and Rs. 7 respectively.
If the manufacturer utilises all his resources for producing these two types of items, what is the maximum profit that the manufacturer can earn in a day?

A tank internally measuring 150 cm × 120 cm × 100 cm has 1281600 cm\(^3\) water in it. Porous bricks are placed in the water until the tank is full up to its brim. Each brick absorbs one tenth of its volume of water. How many bricks, of size 20 cm × 6 cm × 4 cm, can be put in the tank without spilling over the water?

A contractor employed a certain number of workers to complete a project in 100 days. However, after 25 days, he found that only one-third of the work had been completed. How many additional workers must he employ so that the project can be completed on time?

The chance of India winning a cricket match against Australia is \( \tfrac{1}{6} \). What is the minimum number of matches India should play against Australia so that there is a fair chance of winning at least one match?

While no one made any _________ the financial scandal while he was in the room, there was a feeling of awe to the _________ created by the broker that had snared many unsuspecting investors under the _________ that everyone would end up rich and the fact that he had been celebrating his _________ of the legal authorities by attending parties. The option that best fills the blanks in the above paragraph would be:

“In the election of 2009, the internet emerged as the new communication _________ to be used by political parties to inform the voters about their agenda.” The option that best fills the blank would be:

“So you want me to proscribe Ceecee…” The most suitable inference about Ceecee can be:

_________ children in rains run the risk of getting lost. The option that best fills the blank would be:

The boss called to inform that he _________ be coming to office that day. However the employees did not take it easy as they knew it was his _________ to give them a surprise by coming in and checking who was at work. Any employee, once caught not working, would then be required to _________ on the reasons for not working and if the boss was not satisfied the employee had to work on Sunday to _________ the wrong. The option that best fills the blanks in the above paragraph would be: