As cat 2k13 draws close , It’s a new thread where everyone can share their bookmarked Questions (some useful questions ,concepts and theorems ),it might be helpful for last moment revisions …So all the elite members of Pagalguy need your support…
As cat 2k13 draws close , It's a new thread where everyone can share their bookmarked Questions (some useful questions ,concepts and theorems ),it might be helpful for last moment revisions ...So all the elite members of Pagalguy need your support ,& make this thread an useful and successful one..
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Question From Geometry...
What is the ratio of INRADIUS to the CIRCUMRADIUS of a RIGHT ANGLED Triangle..?
Which of the following is always true for acute angled triangles ?
(a,b,c are the sides)
(PS dis formula can be used to determine if the triangle is an acute one; refrence - time ost quant basic 8 qu5)
In The FIGURE attached
AD=12cm,
AB=20cm
and
AE=10cm.
Find EC..
ABC is right angled triangle at a and ad is the altitude to bc. if ab=7cm and ac=24cm. find the ratio of ad to am if m is the midpoint of bc.
SOME CONCEPTS FROM CYCLIC QUADRILATERALS (COPIED) 
x1+x2+x3+x4....+xr = Sum
,say Sum is 's'
No. of non negative integral solutions = s+r-1 C r-1
No. of only positive integral solutions = s-1 C r-1
No. of only positive integral solutions = s-1 C r-1
If K is the number of ways in which 3 numbers in AP can be selected from a set of numbers { 1, 2, 3, ...... n} then
(i) Find the value of 'K' when n =100
(ii) Find the value of 'K' when n =101
A good concept ! 😁
A bus has to travel a total distance of 480 km. After travelling a part of the distance the bus develops an engine problem and proceeds at 3/4 of its former speed and comes 50 minutes late. Had the problem occured 40 km further on bus would have arrived 10 minutes sooner. Find the original distance bus traveled without problem..?
If a, b, c ,d are real numbers with a² + b² + c² + d² = 100, then what is the maximum value of 2a + 3b + 6c + 24d. ?
Find the least value of x² + 4y² + 9z², if x + y + z = 14.
If x² + y² - 6x + 4y = 4, find the maximum value of 3x + 4y.
CONCEPT FOR CAUCHY-SCHWARZ INEQUALITY...
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|x-1| + |2x-1| + |3x-1| .........|119x-1|
FIND :-
1)total terms
2)middle term
3)median term
4)At what value of x will the function be be min..?
A function f is defined as f(n) = 6^n + 8^n for all integers n. Find the remainder when f(83) is divided by 49.
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The average age of my family including me is 26.5 years and excluding me is 32years. My family includes parents, siblings. The age difference between two pairs of members is 2 and 4 years and all ages are in natural numbers. What is the possible age of my father?
40
42
46
All the above
On buying a camera, the shopkeeper gives three rolls of film free. On buying a camera and six rolls of film, the shopkeeper gives additional four rolls of film free. If the equivalent discount is the same in both cases, then how many rolls will be equal in value to a camera?
a)12
b) 15
c)18
d) 24
A two-digit number x, when increased by x% becomes a perfect square 'y'. Find y.
Which of the following numbers is always divisible by n^7-n
a) 13
b) 9
c) 7
d) 5