are questions from stats, base system and functions coming in CAT?
(x-3)^3(x+5)^4(x-1)^7>=0 find range for x..
by taking various values of x,y,z we ll get 5 values for each...x=47,37,27,17,7 y=1,2,3,4,5 z=1,1,1,1,1
and remaining 3 by putting 0 for each value...
@nighthawk21
for a circle inscribed inside an octagon
r/sin(135/2)=(a/2)/sin(45/2)
a=2*r*sin(45/2)/sing(135/2)
r=radius of circle
a=side of octagon
area of octagon=8*a^2*cot(180/8)/4
=>8*r^2*cot(45/2)*[sin45/2]^2/[sin(135/2)]^2
=>[8*r^2*cos(45/2)*sin(45/2)*sin(45/2)]/sin(45/2)*[sin(135/2)]^2
=>[r^2*4*2*cos(45/2)*sin(45/2)]/[sin(135/2)]^2
=>2*rt(2)*r^2/[sin135/2)]^2
area of octagon/area of circle= 2*rt(2)*r^2/[sin(135/2)]^2*pi*r^2
2*rt(2)/sin(135/2)^2*pi
for a circle inscribed inside an octagon
r/sin(135/2)=(a/2)/sin(45/2)
a=2*r*sin(45/2)/sing(135/2)
r=radius of circle
a=side of octagon
area of octagon=8*a^2*cot(180/8)/4
=>8*r^2*cot(45/2)*[sin45/2]^2/[sin(135/2)]^2
=>[8*r^2*cos(45/2)*sin(45/2)*sin(45/2)]/sin(45/2)*[sin(135/2)]^2
=>[r^2*4*2*cos(45/2)*sin(45/2)]/[sin(135/2)]^2
=>2*rt(2)*r^2/[sin135/2)]^2
area of octagon/area of circle= 2*rt(2)*r^2/[sin(135/2)]^2*pi*r^2
2*rt(2)/sin(135/2)^2*pi
How many pair of numbers are there whose lowest common multiple is 2013?
Isn't it similar to finding a pair(a,b) whose LCM is 2013 ?
in that case shouldn't it have been 14 pairs ?
@sagarcat @Dazed-Confused Please see this
In how many ways can Mohan wear 8 distinct rings in his 4 fingers?
Is it 11P3?
The question given below is followed by two statements, A and B. Mark the answer using the following instructions: Mark (a) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone. Mark (b) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone. Mark (c) if the question can be answered by using either statement alone. Mark (d) if the question cannot be answered even by using both the statements together.Q. If ax2 – 2bx + a = 0, what is the value of a – b? A. The roots of ax2 – 2bx + a = 0 are real and equal. B. a and b are natural numbers.
Suddenly I get warned by the moderator for posting solution for a question..How will I know whether its a CAT question or not?Does it mean I will be blocked from PG?
A circle passes through the vertex C of a rectangle ABCD and touches its sides AB and AD at M and N respectively. If the distance from C to the line segment MN is equal to 5 units, find the area of the rectangle ABCD.
Are Critical Reasoning materials provided by TIME ??
a+b+c=16,no .integral sol. ? if a,b,c=1
In how many ways can you give 7 lottery tickets to 5 persons?
Note: the lottery tickets are different
A quad is divided into 4 triangles by its diagonals. the areas of two triangles opp to each other are 12 and 27. what can be the least area of Quadilateral?
PS- saw this ques some time back language/values may not be accurate.
How many numbers smaller than 2*10^8 are divisible by 3 and are represented by means of 0,1,2 (Excluding single digit and double digit numbers ) ? ? ? plz post approach
What should be added to 777 (Base 12) so that it becomes smallest 4 digit perfect cube of base 12
? @sagarcat @Dazed-ConfusedABCD is a quadrilateral with integral sides and perimeter of 36 cm . How many different quadrilaterals ABCD can be formed?
Is it 35C3 ?@sagarcat @Dazed-Confused
A quad is divided into 4 triangles by its diagonals. the areas of two triangles opp to each other are 12 and 27. what can be the least area of Quadilateral?PS- saw this ques some time back language/values may not be accurate.
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