CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

FDB Builders was awarded the contract to construct a bridge. The company employed 100 workers to finish the work in 120 days. When

four-fifths of the work was completed in 80 days, the company wanted to reduce the number of workers. How many workers can be let go

without affecting the completion schedule of the construction of the bridge?

Hi everyone, i will be grateful if someone can explain the following question - 


 The indices of the highest powers of 5 in N! and M! are 64 and 28 respectively. Find the maximum difference between the values of N and M 

In two alloys copper and zinc are in the ratios of 4:1 and 1:3. 10kg of 1st alloy and 16 kg of 2nd alloy and some pure copper are melted together.An alloy was obtained in which the ratio of copper to zinc is 3:2.Find the weight of the new alloy.


Answer is 35kg

P started from town X at 10 am and Q started from town Y at 12pm towards each other. They met at 2pm and continued their journey. P takes 20 minutes more to reach town Y than what Q took to reach town X. At what time did Q reach??

Can someone solve this question 1/x + 7/y = 1/21 How many ordered pairs of integers (x,y) where x>0 satisfy it

In an election of 3 candidates a b and c, a gets 50% more votes than b. He also beats c by 240000. C beats b by 5% points. Find the no of votes polled.

 The number of mechanical engineers, for whom the details of exactly four of the six features are available, is at least ?

(Total = 8400

Name = 100%

address = 70%

age = 85%

hobbies = 95%

contact no. = 60%

email ID = 80%)

If a,b,c€ R and ax^2+bx+c=0 has complex roots which are reciprocal to each other, then one has a) a=c b)|a|>=|b| c)|c|>=|b| d) All of these Can anyone please explain how will it be all of these?? How to get option b and c?

3 men and 6 women can do a piece of work in 16 days . In how many days can 8 men and 12 women do the work?

Last two digits of 27^27 equals to last two digit of 27^7 . How?

Guys if anyone has Quant Apti by Arun Sharma in pdf format pls share it with me. My email I'd is [email protected].

 The corner of a cube has been cut by the plane passing through the mid-point of the three edges meeting at that corner. If the edge of the cube is of 2 cm length, then the volume of the pyramid thus cut off is ? opt 1-1/24cm^3    2-1/6cm^3  3-1/48cm^3  4-6cm^3


What will be the maximum value of (a+1)(b+3)(c+1) if a+b+c=12..

OA : (17/3)^3..Please explain the approach


I am facing a lot of difficulty in no. System. I just hate no system :( Anybody please suggest a good site or material to prepare no system from very basics ?

 The sides of a rectangle are all produced in a clockwise order, in such a way that the length of each side is increased to 'k' times the original length. The area of the new quadrilateral formed is 300% more than the area of the original quadrilateral. Find the value of k.  can someone pls solve this!


 How many real solution exists for the equation ? mod 3x-x^2-3= mod 5x-8-x^2..can anyone pls tell how how to go about this sum!


 A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semi-circle (in sq. cm) will be: 

 A certain city has a circular wall around it, and this wall has four gates pointing towards north, south, east and west. A house stands outside the city, 3 km north of the north gate, and it can just be seen from a point 9 km east of the south gate. What is the diameter of the wall that surrounds the city? 


 There are 10 identical blocks of cuboid of dimension 2 inches Ɨ 3 inches Ɨ 5 inches. The blocks are kept one on top of the other in a random fashion to form a structure. How many structures with unique heights can be created using these blocks? (Neglect instability of the structure) NOTE: Two of the flat faces of each cube are parallel to the ground. 

f(x)=(x+n+1)(x+n+2)(x+n+3)..(x+2n). What will be f'(n) ?

Please explain the approach..