CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

2x^3 . y^2 = 15^3 where y>0
and 2x+5y has its minimum value then find value of x

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Questions - 27,28,33

Q 13

How many real roots does the equation x^4 + 2x^3 - 10x^2 - 2x + 1 = 0 have?

A) 0

B) 1

C) 2

D) 4

Anyone know about this college --Indian institute of aeronautical science, delhi ?? Kindly help, info needed

25,26,27,28

30,32

##cat 16  

Find the  highest power of 6  when 100! is written in base 13.

##cat16  

Find  the remainder obtained when 28! is divided by 899.

##cat 16  

we have x+y=117

Find the number of positive integral solutions(x,y) such that each are co -prime to each other.

For what value of x will the expression (1 -x)^9(1+2x)^4(1+x) attain the maximum value?

A 1

B 2

C 0

D None of these

DO MENTION THE APPROACH TOO.

Approach also

https://drive.google.com/file/d/0B0m_2MUsO7JIYm1UZzRBTk5Bb1U/view?usp=sharing

If i try the answer mentioned as correct with x=8 the ineqality fails

30,32,33,34,35,36,37,39

Number of ways in which 1500 can be expressed as product of three integers ?

A lady has 59 identical chocolates, which she wants to give away to three kids such that no kid gets more chocolates than the number of chocolates with the other two taken together. In how many ways can she divide the chocolates among the kids, considering some of them may not receive even a single chocolate?

Find a three digit number which, when reversed becomes equal to 17 times the square of its cube root. Please post the approch also

There are 20 identical boxes and in each box there is a ball of a particular color. There are two Red , white, blue , black and yellow colors ball . Find all the possible ways of selecting five boxes without selecting a single pair of same colored balls ?