CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Need explaination

Using fraction

x^4+ax^3+bx^2+cx+d has 4 positive real roots. Find minimum value of c

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Index of greatest power of 2 in 64!+65!+66!+...+120!

Please help

In a triangle ABC, O is the incentre. P is the point of tangency of the circle on AC, Q on BC. PQ is joined. now BO is produced such that it meets PQ at G. Now what is angle AGB?


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 In how many ways 30 can be written as difference of sqaure of two numbers ?

For solution you can refer 

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How many natural numbers upto 10^7 have sum of digits = 18 ? 

Pls help with soln i am getting diff answer

What is highest power of 72 in 90!?

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Find the number of zeroes at the end of any given expression


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Six dice are rolled, what is the probability of getting the sum as 32?

Number of 4 digit numbers such that one digit has to be repeated once.