CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

Can someone please help me with question 13 and question 15 (Topic:- Number Systems)

Find the value, Where[x]=greatest integer.

[(13/7)+(1/2009)] + [(13/7)+(2/2009)]+ .... + [(13/7)+(2008/2009)]

What is the number of occurences of tail when we trail a coin for 1000 times ? 

Any idea when are the AIMCATs starting this year? Are there any discounts for IIM call getters? Please help..

if 40 men can do a work in 40 days. they all start the work.But at last of each 10th day 5 men continued to leave the work.In how much time the work will be completed?

Someone please help me with the 8th one. (Topic:- Number Systems)

How many non-negative solutions exist for x + y + z = 12 such that none of x,y,z exceeds 5 ?

How many points in the region enclosed by

x greater than or equal to 0 , y less than or equal to 0 and 7x - 9y lessthan or equal to 63 have integral coordinates ?

Someone help me with question 7. The answer I am getting is 62 rather than the correct 82. (Topic:- Number Systems)

Three circles of radius r are drawn such that each touches the other two externally. The common tangent drawn to the first and second circles, that drawn to the second and third circles, and that drawn to the third and first circles together form an equilateral triangle, enclosing the three circles completely. Find the inradius of the triangle. 

A) 2r/ sqr3

B) (sqr 3 + 1) r/sqr 3

c) sqr 3

d) (sqr3 -1)/sqr3

http://www.pagalguy.com/discussions/paracompletion-parajumbles-sentence-correction-cat-2016-42632580

How many rectangle with integral sides are possible where the area of the rectangle equals to perimeter of rectangle ?

If f(n) = 1^4 + 2^4 + 3^4 + ... + n^4 , then how can 1^4 + 3^4 + 5^4 + ...+ (2n - 1)^4 be expressed ?

Find the Sum upto first 20 terms of the series ?

1 + 4 + 11 + 26  + 57 + 120  ... 

Can anybody explain this ?

In how many ways 4 distinct balls can be distributed into 3 identical boxes?

http://imgur.com/cK9VrAx
No OA, please explain with solutions

A bag contains 5 black and 3 red balls. A ball is taken out of the bag and is not returned to it. If this process is repeated three times, then what is the probability of drawing a black ball in the next draw of a ball?

How can i upload an image of question? It don't have copy paste option.

Approach for dis que. as many que for max. area come in the cat.

http://postimg.org/image/d7r0bamix/