CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Find the remainder (289*144^25)/71^71 Pls elaborate the approach and ans

7 dices and 5 coins are tossed together ,find the probability of getting exactly 2heads and sum of prime no. Greater than 10? Pls elaborate the approach

How many such rectangles are possible with integer sides , such that it's area is 8 times the perimeter? Pls elaborate the method , do we do it manually or there is a method to follow ?

 Last two digits of 2^101 

There is an equilateral triangle with side 24cm and with its midpoints another triangle is formed. This process is repeated infinitely. Find the perimeter of all such triangle formed. Approach please?

How many natural numbers divide exactly one of the numbers 24, 60 and 144?

121 is a palindrome.Find all such palindrome between 1000000& 9999999

Number of digitsin 1001^101

ans:303


TWO CIRCLES OF RADIUS x cm are made such that one passes through the centre of the other circle.Find the area of the common region

Need Approach::


In a college of 525 students, each student takes at least two items from among idly, dosa, puri and chapathi for his breakfast. If 375 students take idly, 375 students take dosa, 375 students take puri and 375 students take chapathi for their breakfast, then find the number of students who take all the four items is at most - TITA

abc is a three digit number where a,b,c are natural number .What is the probability that a=b>c?

How many times does f(x)=Ix-1I -I4-xI +Ix-5I touch the x axis?

 N sheets of paper are puncher together .The opening apge is numbered 1 followed by successive number in ascending order.The last page is numbered 2N.Ravi tears off 1 sheet of this book.And the sum of the page numbers is 4971.Find the page numbers on the sheet torn off. 

Can somone plz tell me the approach

How many positive integers are there between 10^4 and 10^5 whose sum is 3??? Pls elaborate the approach

Elaborate the approach plss

 49. The simplest reduction to the lowest terms of: 116, 690, 151 / 427, 863, 887 is


 (a) 11/3 (b) 7/11 (c) 3/11 (d) none of above 

7 dice are rolled and 5 coins are tossed together find the probability of getting exactly 2 heads and sum of prime number greater than 10 ?

if  x^2-x+1=0 then the value of x^3n will be?


options

1

-1

1 or -1

0

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