CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Square ABCD is inscribed in a circle and another square is inscribed between square ABCD and the circle such that it's two vertices are on the circle and one side lies along AB.The ratio of length of sides of smaller square and bigger square is? Ans:1/5 Plz explain approach

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a man bought certain goods. 1/3 of which he sold at profit of 21%, 3/5 of which he sold at profit of 20% and the rest at a profit of 25% what is overall profit percentage

In triangle PQR, Angle Q=90,PQ=6and QR =8 cm.X is a variavle point on PQ.The line through X,parallel to QR,intersects PR at Y and the line through Y,parallel to PQ,intersects QR at Z.Find the least possible length of XZ.


Yeh least value kaise find kare ???

Approach plz

 A and B start simultaneously from the same point on a circular track and run in opposite directions. A  completes a round every 5 minutes and B completes a round every 6 minutes. How many times do they cross each other in 90 minutes?
 

Each root of the equation ax^3 – 7x^2 + cx + 231 = 0 is an integer. One of the roots is -1/2 times the sum of the other two roots. What is the sum of all the possible values of a?

Anant purchased x chocolates for Rs. y, where y is a natural number. The shopkeeper had offered to give him x+10 chocolates for Rs. 2. Anant declined the offer though it would have resulted in a saving of 80 paise per dozen chocolates for him. Which of the following can be the number of chocolates purchased by Anant?


Option- 1, 3, 5, 15

N is a five-digit perfect square whose unit digit is same as the tens digit. How many such N are there?

A 3-digit natural number ‘abc’, where a, b and c are distinct digits, when increased by 33.33% becomes ‘cab’. When ‘cab’ is increased by 33.33% it becomes ‘bca’. How many such numbers are there?

the cost price of an article increase by rs.100. the selling price increases by 10%. if the new profit decreases from 15% to 10% what is the original cost price

What specific Quant topics would you advise to focus on guys ? I devoted a whole week to numbers and my friend says I'm wasting time, since not many questions come from it. That made me think to use my time wisely for the rest of the topics.

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A father has five different antiques and he is thinking of giving them to his two sons. In how many ways can he do so of it is possible that he may not necessarily give away all the antiques. Also a son may or may not receive an antique. 

Please explain

Simplify this expression

Ten books are arranged in a row on a bookshelf. A student has to select three out of these ten books in such a way that no two books selected by him must have been lying adjacently. In how many ways can he make the selection?