CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Approach & Solution

does anyone has reading comprehension by surjit singh ebook its not available on the market or on any website

#SIMCAT-11

If n is the number of 4 digit numbers in base 9 whose sum of digits is 10(in base 9),find the value of n in base 10.

Are Data sufficiency questions asked in CAT?

 A shopkeeper marks his good at 60% above the cost price. He allows a discount of 12.5%. Also he cheats 14.28% while purchasing and 20% in selling and gives one article free on purchase of 15 articles. Find the profit/loss in whole transaction.

This year, during the months of January and February, every day Ramu went to a fruit shop and bought three varieties of fruits, such that on any two days, he bought at least one variety of fruit on one of the days that was different from what he bought on the other day. What is the minimum number of different varieties of fruits he could have bought during that period? 

Pls explain the below que -




58.Consider the following relations, R and S, defined on the set A = {1, 2, 3}: 

R = {(1, 1), (1, 3), (2, 2), (3, 1), (3, 3)} 

S = {(1, 1), (1, 2), (2, 2), (2, 1), (2, 3), (3, 2), (3, 3)} 

Which of the following statements is/are true?


a)Both R and S are equivalence relations


b)R ∩ S is an equivalence relation.


c)R  S is an equivalence relation.


d)Both (B) and (C).

One of the angles of a triangle is 60 ° and length of two it's sides are 6 and 7 cm. The length of the third side of the triangle is? Approach please

 sorry for this.

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Find the remainder when 169*(144^25) divided by 13^4. I am stuck after (12^50)/(13^2).please elaborate.

Find the remainder when 13^520 divided by 2249. I want to know some shortcut rather than the attached answer. Please help.

    A question paper consists of four sections with six questions in each section. A candidate has to select three sections and has to answer 10 questions answering at least two from each of the selected sections. In how many ways can he answer the paper? 

off topic 

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TIA

Points A, B,C, D are on a circle such that AB = 10 and CD = 7. If AB and CD are extended past B and C, respectively, they meet at P outside the circle. Given that BP = 8 and ∠APD = 60◦ , find the area of the circle.

P is a no. which has exactly 3 factors which divide 25! Then whats is the greatest power of 3 in (p-25)! Quickly asap

Can someone please give the logic behind the solution. TIA :)

 50 cows can graze a field for 40 days and 40 cows can graze the same field for 80 days. Some grass is already there and the grass grows at a constant rate. For how many days can 60 cows graze the same field.(the growth of grass is also there.)  approach plz

 Three containers A, B and C contain equal quantities of milk, juice and oil respectively. 10% of solution from container A was transferred to container B. Then, 10% of solution from container B was transferred to container C. Then, 10% of solution from container C was transferred to container B. Then, 10% of solution from container B was transferred to container A. What was the percentage of oil in container A in the end? 


Any fast way to do these type of questions ?

Solution

There are fifty successive discounts given in a series of 2% , 4% , 6% . 8% and so on.

What is the net discount ?