CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

guys please help with this : how to find ratio of 3 unknowns in a system of 2 equation...

x+y+z = 100

12x - 3y -2z = 625

please give the cross-multiplication method solution if possible.. thanks

If the sum of the cubes of the sides of a triangle equals thrice the product of those sides, find the type of the triangle. a)Rightangled b)Isosceles c)Equilateral d)Cannot be determined


One root of the quadratic equation ax2 + bx + c = 0 is 2 and one root of the quadratic equation cx2 + bx + a = 0 is. What is sum of the roots of the first equation?a)−1 b)−2 c)−3 d)

If anybody wants Time cat 2015 material (worksheets,practice material, monthly magazines ,gd books) and past papers can message me .

Can someone please explain how to solve this question?

If x, y are positive and xy^2=27, find the minimum value of 32x+y.

Find the remainder when 2^168 is divided by 105? Ans=1 Approach?

Which of the following statement is/are correct?

IN AN EQUILATERAL TRIANGLE-

1)ALTITUDE,ANGLE BISECTOR,PERPENDICULAR BISECTOR AND MEDIAN COINICIDE

2)CIRCUMRADIUS AND INRADIUS ARE SAME

which of the following statement is/are correct?


IN AN ISOSCELES TRIANGLE-

1)ANGLE BISECTOR AND PERPENDICULAR BISECTOR ARE SAME

2)CIRCUM RADIUS AND INRADIUS ARE SAME

Questions 11, 12 & 13.. Please provide solutions

Hi guys,

Until last year I was undecided for appearing for CAT. I appeared for CAT'15 without any preparation ( I didn't even know that there were supposed to be 3 sections). Therefore , it wasn't a surprise that I found CAT to be very difficult. I ended up scoring 88 %ile with 99.2 + in VARC, and 60-67 in both Quant and DILR. This time though I wish to appear for CAT with full preparation. 

I had estimated my quant to be fairly strong, since I have cleared IIT-JEE and Regional Maths Olympiad. But CAT'15 put me back to my place. I have started solving the Time quant material. Do you guys thing this will suffice for the preparation??  

A and B are moving on a circular track in a direction opposite to which C is running.C is moving twice and thrice the speed at which A and B are running respectively.they start running from the same point.It is known that A's average speed is 3m/s and track is 120m in length. When will B after start find himself equidistant between A and C for the first time?

Please mention the approach.

A railway track runs parallel to a road and a cyclist whose speed is 12k/h , meets a train at the crossing everyday at the same time. One day, the cyclist started 25 min late and met the train 6km ahead of the railway crossing. What is the speed of the train?

Mention the approach pls

Solve qno 6 with an explanation.

anybody has question bank sort of thing for geometry or any link??TIA 

Please explain question 4

three men A B C can complete a work in 30 days. they start work together and A works for 3 days and takes rest on the fourth day, B works for 5 days and takes rest for next 2 days and C works for 7 days and took rest for next 3 days. In how may days will  the work be completed. ( if A B C work at the same rate)

39

40

41

42

A shopkeeper marked up his CP by 5% to make equal to SP . Further, he tells the customer 1/15 more than the actual weight. find his profit %age....I m usually confused in solving these type of questions ..any links would b of grt help.

Approach?

in trapezium sum of parallel sides=sum of non parallel sides?? true or false?

a regular hexagon is such that the largest distance betwen any two points on perimeter=6.what is the distance between any two parallel sides?