CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

an equilateral triangle BPC is inscribed in a square abcd?WHAT IS THE VALUE OF ANGLE APD

 . A dealer makes a profit of 25% on an item. If the selling price increases by 15% and the buying price decreases by 15% then what will be the difference of the profit percentage as compared to before? 

  A regular hexagon has sides of 20 m. On each of the corners of the hexagon a horse is tied with a rope of 7m. Then find the area in the hexagon not grazed by the horses. 

Question 15

The ratio of Selling price of an article if x^3% profit is made to the Selling price of the same article if x^2% profit is made is 41:29.What is the value of 'x' if it is known x is a natural no.

Please expalin

Question no. 19&20

How to approach questions like these??

123123....(upto 300 terms) is divided by 37. Find the remainder.

approach plzzz


P.S how to add image in a post?

Find the coeffiecient of x^3 in the expansion of (1+x+x^2+x^3)^5

There were two escalators (moving stairways) in a mall, with the same number of steps, the first one moving up and the second moving down at the same speed. Ram and Sameer walk up the first escalator at their respective uniform speeds. Ram took 2 steps in the time that Sameer took one. Ram and Sameer reached the top of the escalator after taking 30 steps and 20 steps respectively. Ram then started to walk down thesecond escalator. At the same time, Tarun started to walk up the second escalator at twice Ram’s speed. How many steps would Tarun takebefore meeting Ram?


Qusetion 26,27,28

In a triangle ABC with side AB=AC and mBAC=20 degree, D is a point on side AC and BC=AD. Find mDBC?

4 persons wanted to occupy 15 vacant seats such that there are atleast 2 persons are between them.How many ways can they arrange themselves?

Approach for this? Do we need to make graph?

Approach please 

Let  N = 111...111 ( 73 times ). When N is divided by 259, the remainder is  R1, and when N is divided by 32, the remainder is R2. Then R1 + R2 is  equal to A. 6
B. 8
C. 253
D. None of these

What is the remainder of (40! *39! *38! *37! ...*3! *2!) /41?

What is the highest power of 4 that divides 5^12 -1


in how many ways can 10 people be seated around a rectangular table having 3 seats along longer edges and 2 seats along shorter edges! 

How many points with  integral values of x and y  co-ordinates are enclosed by the two curves x^2-12x+32 and -x^2+12x-20 but do not lie on either of the curves?


Source-IMS


A criminal lawyer was investigating a case and he found a 10 digit telephone number. However he somehow misplaced the evidennve and he forgot 3 digits of the telephone number. So what iz the prob that two digits are odd and the remaining one even(repetition possible )? Solution plz..

Reduction in speed of a goods train is directly proportional to the square root of the product of number of coaches and the weight of each coach. If speed of a train with 8 coaches having weight of 50 tonnes each is 44 kmph while speed of a train with 16 coaches having weight of 100 tonnes each is 28 kmph. What is the maximum number of coaches of weight 60 tonnes carried by a moving train?


Source-IMS