CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Guys iss question ka approach btaa do yaar basic h ..If E is a point on side CA of an equilateral triangle ABC such that BE is perpendicular to CA , the prove that AB2 + BC2 + CA2 = 4BE2.

Source: SImcat 6: 

 Mohit, Vinod and Prabir play a table tennis championship. They play each other once in the championship. It is known that Mohit beats Vinod and Vinod beats Prabir. Mohit claims that he should win the championship as he scored the maximum points. Vinod says he should be declared the winner as he had the best points differential (points scored – points conceded). Prabir says that he should be crowned the champion as he had the best points ratio (points scored divided by points conceded). It is known that fewer than 39 points in all were scored in the championship and Mohit scored 3 points in the match he played against Prabir. 

 

Who won the match between Mohit and Prabir?

Mohit

Prabir

It was a tie

Cannot be determined 

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Two persons agree to meet on jan 9 2005, between 6.00 pm and 7.00 Pm. with the understanding that each will wait no longer than 20 minutes for the other,what is the probability that they will meet?

Two unbiased coins are tossed together 5 times. What is the probability that heads turn up on both the coins for 3 times

A can is full of paint. Out of this, 5 litres are removed and substituted by a thinnning liquid. The process is repeated one more time. Now the ratio of paint : Thinner is 49:15, what is the full capacity of the tank


Approach please.

In how many ways can 9450 be split into 2 factors that are relatively prime to each other

 Page and Plant are running on a track AB of length 10 metres. They start running simultaneously from the ends A and B respectively. The moment they reach either of the ends, they turn around and continue running. Page and Plant run with constant speeds of 2m/s and 5m/s respectively. How far from A (in metres) are they, when they meet for the 23rd time? 

Q 8

guys i just took career laucner mock 1 and i got way less than aimcat and simcat. also i found all the sections tougher as compared to simcat and aimcat. is it true?? kindly help me out.

Approach please! OA: b

Please solve it ,

How to proceed with such series? {1/(2*5*8)}+{1/(5*8*11)}+.... upto 15 terms!!

Any short trick for this question?? In the Garbar Jhala, Aminabad a shopkeeper first raises the price of Jewellery by x% then he decreases the new price by x%. After one such up down cycle, the price of a Jewellery decreased by Rs. 21025. After a second updown cycle the jewellery was sold for Rs. 484416. What was the original price of the jewellery

In how many ways 3 AP terms canbe selected from 1 to 43?


The hcf of 3 numbers is 6 and their sum is 120.how many such triplets exist?

Explain plzz

ABCD is a cyclic quadrilateral. Two sides AD and BC are extented to meet at point Q [Q-A-D and Q-B-C]. l(QD) = 30 units and l(QC) = 24 units. A tangent drawn at a point A, meets BQ at point P and l(AP) = 6 units and l(PB) = 3 units. Find the area of ABCD if l(DC) = 10 units. Enter answer to the closest multiple of 10. Any tricks ?


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