CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Find the number of ways in which the letters of the word "PERFORMED" can be put in a 3x3 grid such that no two vowels are in a same row or a column. 

C can do in 3 days half of what A can do in 5 days. A can do in 2 days half of what B can do in 6 days . If it takes 12 days for A and C to complete the work, how many days will B take to finish the work?

Soln please

Soln please

http://imgur.com/a/0bHfb


Can anyone tell me the method please?

 

What is the smallest integer n for which any subset of {1, 2, 3, ... 20} of size n must contain at least two numbers that differ by 8?

12
13
8
16

A shopkeeper marks up his goods by 20% and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 grams i.e. he takes 1100 grams from his supplier and gives 900 grams to his customer.What is his net profit percentage ?



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0 voters

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0 voters

The coefficient of x^11 in the expansion of (x –1) (x – 3) (x – 5) ……..(x – 23) is .

N= 707707770.......119 digit divided by 11.Remainder??

 

Mukesh, Suresh and Dinesh travel from Delhi to Mathura to attend Janmashtmi Utsav. They have a bike which can carry only two riders at a time as per traffic rules. Bike can be driven only by Mukesh. Mathura is 300km from Delhi. All of them walk at 15km/h. All of them start their journey from Delhi simultaneously and are required to reach Mathura at the same time. If the speed of bike is 60km/h, then what is the shortest possible time in which all three can reach Mathura at the same time?

OA:65/7

 9.If log 15 = a and log 20 = b, then find log 12 in terms of a and b ?


Guys please suggest simpler approach

  • 3a + b - 3
  • 3a + b - 4
  • a + 3b - 4
  • a + 3b - 3

0 voters

If x =2^1/3+2^1/3 then 2x^3-6x =


Seeking simpler approach

Q26 plz?

 What is the remainder when 47 divides 888........888 (repeated 91 times)? 


Please provide solution and expalnation??...Thanks in advance

Q27. 6 letters, 6 houses. Probability that no house receives correct letter.

A vendor buys 10metal pieces each and the same price but he sells them at different prices each . He decides the selling price of each piece as follows. Thr selling price of the 1st piece is 3 times it's cost price , the selling price of the 2nd piece is 3 times the selling price of the 1st piece, the selling price of the 3rd piece is 3 times the selling price of the 2nd piece and so on . What is the profit percentage on the sale of 1st 8 metal pieces ?