CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

10 straight lines , no two of which are parallel and no three of which pass through any common point, are drawn on a plane. The total numbers of regions (including finite and infinite region) into which the plane would be divided by lines is ? Options are 56,255,1024, not unique . OA :56 . Please tell the approach

Will we do this question by using hit and try method or is there any other method?

Q.10 ?? Please share the approach ??

Didn't even understand the question

If 1 kg of raw material of Cotton costs Rs. 54 and 200 grams of raw material is sown in 10 m2 of land,

then what is the area of land required for producing 1 ton of Cotton?

(a) 2500 m2 (b) 500 m2 (c) 2.5 km2 (d) 5 km2

Find sum of the cubes of first n odd natural numbers? approach?

a circular pizza is cut into four identical pieces with two diametrical cuts made perpendicular to each other.each piece can be topped with any of the five toppings available but no two adjacent pieces have same toppings .in how many ways can the four pizza be topped?

 The numbers 2010 are marked on a circle and numbers are circled starting from 1 after every 7 numbers (1,8, 15 etc..). If this process is repeated, and stopped only when the mark could be put on an already marked number, then how many numbers were .


PS: I dont know the ans. Approach required.

BASE SYSTEM ::


How many natural numbers when expressed in base-6, base-5 and base-4 form four-digit, five-digit and six-digit numbers respectively? 

Could anyone help me out with this? Mr Raj started half an hour later than usual for the market place. But by increasing his speed to 3/2 times his usual speed he reached 10 minites earlier than usual. What is his usual time for this journey?

If the octal number 1a23b112430 is converted to decimal system, it is divisible by 126,find the value of a. 

(1) 4. 

(2) 3.

(3) 6. 

(4) 5.


I don't know the answer. Please explain with solution.

 In isosceles Δ ABC, BD is angle bisector BD= BC and AC not equal to BC. Find the measure of A. 

Approach pls!!

 An advertising board has 8 display panels of uniform dimensions in a row. Advertisements of 5 different brands of perfumes are to be displayed on the board. In how many different ways can the advertisements of these 5 brands be displayed on the board so that each display panel has one advertisement displayed on it and each brand is displayed on at least one panel? 

how imporatnt are cube problems for cat?

Perimeter of a rectangle is x and circumference of a circle is 8 more than the perimeter of the rectangle. Ratio of radius of circle and length of the rectangle is 1:2 and ratio of length and breadth of rectangle is 7:3. Find the length of the rectangle?

Two cars A and B move towards each other from X and Y respectively with respective speeds of 20m/s and 15 m/s. After meeting each other A reaches Y in 10 seconds. In how many seconds does B reach X starting from Y?

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How accurate is the hitbullseye percentile for CAT mocks? Also, my scores have plateaued at 80-83%ile for a while now. What should be the approach?

2 natural nos m and n are such that their LCM is 300. How many such pairs are possible. Explanation plzz.

What is the radix of the number if the solution to quadratic equation x^2−10x+31 if x=5 and x=8 are the roots? Please elaborate, i know the answer but confused on method!