A regular hexagon ABCDEF . A triangle drawn inside , whose vertices were at the mid-points of alternative sides. Find ratio of triangle to hexagon ?
i'm getting 3/4 .!! pls check
I have no idea regarding what xat scores are considered decent? I just attempted testfunda's ixat 01 and scored 43/84...how good or bad is this score?
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Some quick and basic concepts -
1)Rectangle, Square and Iso Trapezium can be circumscribed in a circle. Parallelogram rhombus and trapezium(not iso trapezium) can't be.
2) Area of cyclic quadrilateral = sqrt(s-a)(s-b)(s-c)(s-d) ::s =semiperimeter
3) If one pair of opposite sides are equal in a cyclic quadrilateral then the diagonals are equal.
4) Angle bisectors of cyclic quadrilateral meet and form cyclic quadrilateral.
5) In regular polygon of N sides,central angle subtended by a side = exterior angle = 360/N
6) In a regular hexagon of side A units, the longest diagonal = 2A
7) Eq. triangle of side A and an isosceles triangle 120-30-30(A being the side opp to 30 degrees) have the same area root(3)/4 * A^2 ...... and sides of 120-30-30 triangle are in the ratio 1:1:root(3)
In a solid figure no. of faces + vertices = no. of edges+2 i.e. F+V=E+2
9) If a larger cube painted by a color is broken into n smaller cubes, then no. of cubes having
3 faces painted = 8
2 faces painted = 12(n-2)
1 face painted = 6(n-2)^2
0 faces painted = (n-2)^3
## PG gurus ##
There are n non-overlapping identical triangles, then at max how many bounded regions these intersecting triangle can form.
3n^2 - 3n + 1
We are drawing 8 circles on an infinite plane. How many maximum distinct regions can be obtained by drawing the 8 circles in this way?
f(n) = n^2 - n + 2
the three dimensional plane is divided into distinct regions (can be unbounded) by drawing spheres. How many maximum regions can 4 spheres divide the space into?
f(n) = n^2 - n + 2
Circle Division by Chords ( for n=1 to n)
1, 2, 4, 8, 16, 31, 57, 99, 163, 256
Plane Division by Lines
N(n)=1/2(n^2+n+2)
There are n non overlapping identical rectangles, then at max how many bounded regions these intersecting rectangles can form.
4n^2 - 4n + 1 = (2n - 1)^2
There is a team of 11 brazilian players and suppose the coach of the team starts asking players (one at a time) what day of the year their birthday is (a year will have 365 days).On AVERAGE, how many times will the coach have to ask until he gets 2 players with a birthday on the same day of the year??
To Find out Pythagorean triplets
There is a formula
(N^2-1)/2,( N^2+1/2) of any number N.
For Example if the number is 3, the pythagorean triplets are (3)2-1/2 = 4
and (3)2+1/2 = 5.
For any other number , i.e. 15, the triplets are (15)2-1/2 = 112 and (15)2+1/2 = 113.
Ashish is given Rs. 158 in one rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Re.1 and Rs. 158 can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required?1. 11 2. 12 3. 13 4. None of these
For such questions, use power of 2 method.
Total number of coins = 158
Each bag can have : 2^0 = 1 coin, 2^1 = 2 coins, 2^2 = 4 coins, 2^3 = 8
coins, 2^4 = 16 coins, 2^5 = 32 coins , 2^6 = 64 coins
total = 127
left = 31
Number of bags = 8
Ex : Suppose we need Rs. 119.
First use the 31 coins bag.
119- 31 = 88
To get 88 coins, we need 64 + 16 + 8 coins.
P.S. : Can be tested for any arbitrary number between 1 to 158, say, 45, 76,83 and so on.
Therefore, total number of bags = 8
Option (4)
hello guys...m looking for XAT 2015 official answer key for set B.if anybody has it plz share.
2men+ 3 women can do a piece of work in 6 days,4 men and 6 women can do the same work in 3 days..how many days will 3 men take to complete the work?
Find the probability of selecting 2 cards such that either both are black jack or black cards with no black jack ?
Any tips on how to approach Decision making questions? Finding it tough to crack.
cr 5 ? #
Sheila Goswami is the Marketing manager of the Detergents division of a leading FMCG major. Apart from being a strong and efficient manager she is also popular because of her warm and friendly personality. Of late though, Sheila has been feeling the stress levels rise – her department has high targets set for the season and she has been finding it difficult to complete her work during office hours. One of the reasons for this is that employees (some even from other departments) find their way into her office and usually land up discussing personal and professional problems and seek advice. Sheila has always helped. But now she faces a dilemma – complete her targets or face her own personal and professional problems in the future
The best course of action for Sheila would be to
A. Ask people to reach her by appointment and limit the advice seekers to one or two in a day.
B. Encourage employees to take courses on conflict resolution, self-management and communication skills.
C. Keep her door open to advice seekers and take her pending work home – after all it will only be for a few months.
D. Be assertive with advice seekers – inform them that you can only help with department-related professional problems and they should approach HR for help otherwise.
E. Ask all advice seekers to approach human resources.
- d
- b
- a
- c
0 voters
DM 6#
The chief financial officer (CFO) of a small company was fired for possible expense account violations, and also because he was seen as a poor strategist and weak team player. This CFO refuses to go quietly. He
has consulted a lawyer, and then a second and a third when the first one said he didn’t have a case. He has rallied friends who have sent emails to prominent customers about his grievance. Meanwhile, the CEO and
new CFO have to raise capital and revenues to make up for the shortfall, for which the disgruntled former CFO blames everyone else.
What should the CEO do?
A. Threaten the former CFO with a legal case and gather evidence in the meantime.
B. Issue a public letter/advertisement stating that the former CFO is no longer your employee and hinting at his misconduct.
C. Put out a counter-story that responds to the former CFO’s accusations; also, concentrate on reducing the financial shortfall.
D. Negotiate with the CFO and pay him a satisfactory amount so that he leaves the company alone.
E. Ignore the CFO, with time his anger and frustration will die down; concentrate on raising capital and revenues.
- A
- C
- D
- E
- B
0 voters
what is the level of DI/LR in xat as compared to cat ?
In the x-y plane, point (p, q) is a lattice point if both p and q are integers. Circle C has a center at (-2, 1) and a radius of 6. Some points, such as the center (-2, 1), are inside the circle, but a point such as (4, 1) is on the circle but not in the circle. How many lattice points are in circle C ?
#DS
Lines a and b have different y-intercepts. When line a is reflected around the y-axis, is its reflection parallel to line b?
(1) Line a is perpendicular to line b.
(2) The slope of line b > 0.
Consider a regular pentagon ABCDE of side a.
Join AC , AD and BE. AD intersects BE at X and AC intersects BE at Y.
Find the ratio of area of trapezium XYCD to that of pentagon ABCDE.
would greatly prefer if someone could take some time out and post the individual cutoffs for each section over the past few years for xlri. Request marks not percentiles as that would serve the purpose better. Any repository for the official keys?
I've taken up the jabbing the xat book by rk jha and i could see a lot of discrepancies in the answer keys when compared with other sources.
Will be a great help if anyone has the sectional score cutoffs for the previous year papers.
Anyone in need of "THAT" book for decision making post your email id, i will mail it to you. It is kind of book of model questions, though.
Dua mein yaad rakhna. 😃