Monday, 7 December 2015

LR 4

Directions for questions 10 to 12: These questions are based on the
following information.



Six persons A, B, C, D, E and F were compared in heights and weights.
No two persons are of the same height and weight. They were given the
ranks in each of these categories from the 1st to the 6th. The tallest
and the heaviest are given 1st rank and the shortest and the lightest
are given 6th rank. Further it is known that,

(i) The third tallest is the second lightest and the second shortest
is the heaviest person.

(ii) A is taller than C.

(iii) D is shorter than C and lighter than E.

(iv) F is shorter than D.

(v) E is the fourth shortest person and F is the third lightest person.



10.Who among them is the second heaviest person?
a)
A
b)
C
c)
E
d)
B


11.Who among them is the third shortest person?
a)
F
b)
B
c)
D
d)
Cannot be determined



12.Which among the following statement(s) is/are definitely true?
a)
F is heavier than B
b)
The second tallest is the third lightest person
c)
E is lighter than A
d)
Both (B) and (C)

LR 3

Six boys A, B, C, D, E and F are of different heights. B is not as
tall as C, who is not as tall as E who is not as short as D. A is not
as short as F who is not as tall as D and is not the shortest.



7.Who among them is the shortest?
a)
D
b)
E
c)
B
d)
Either B or D


8.It is also known that, A is not as short as E, then who is the
tallest among them?
a)
E
b)
D
c)
A
d)
Cannot be determined


9.If they are made to stand in the descending order of their heights
then which among the following is the possible order?
a)
A, D, E, C, B and F
b)
A, E, C, B, F and D
c)
E, D, A, F, C and B
d)
None of these

LR2

In an athletic event five sprinters Johnson, Bolt, Mathew, Jones and
Stephen secured top five positions in each of the four different
categories among 100m, 400m, 800m and 1000m rely. No two of them got
the same position in any category and no person got the same position
in any two categories. Further it is known that,

(i) Mathews is not the winner of 800m race.

(ii) In 400m race Johnson finished ahead of Mathews.

(iii) Mathews finished 4th in 100m race.

(iv) Jones always finished ahead of Johnson.

(v) Bolt and Stephen finished in the 4th and 5th position in 800m race
respectively


4.Who is the winner of 400m race?
a)
Stephen
b)
Bolt
c)
Jones
d)
Mathew


5.Who finished fourth in 1000m race?
a)
Mathews
b)
Bolt
c)
Stephen
d)
Jones


6.Who finished third in 400m race?
a)
Bolt
b)
Stephen
c)
Jones
d)
Johnson
.

LR1

Each of the six persons A, B, C, D, E and F belong to a different city
among Mumbai, Hyderabad, Delhi, Chennai, Bangalore and Kolkata not
necessarily in the same order. Further it is known that

(i) Neither B nor E belongs to Chennai.
(ii) Either C or F belongs to Bangalore and E does not belong to Delhi.

(iii) D belongs to either Hyderabad or Kolkata.

(iv) F belongs to Hyderabad.


1.Who belongs to Delhi?
a)
A
b)
B
c)
D
d)
E



2.Who belongs to Kolkata?
a)
D
b)
B
c)
E
d)
C


3.Which among the following is definitely false?
a)
B belongs to Delhi
b)
E does not belong to Chennai
c)
C belongs to Bangalore
d)
E belongs to Kolkata

Saturday, 5 December 2015

RC 2

Directions for questions 39 to 41: The passage given below is followed
by a set of questions. Choose the
most appropriate answer to each question.
A few weeks after local audiences saw mezzo-soprano Denyce Graves
withdraw from Opera New Jersey's
production of "Carmen," only to find substitute Kirsten Chavez singing
the role at least as well, the Metropolitan
Opera has had to contend with a last-minute cancellation of its own.
Last night at the premiere of the new production "Hamlet," soprano
Marlis Petersen took over the role of
Ophélie for the indisposed Met favorite Natalie Dessay. Petersen, who
had only a few days of rehearsal,
performed admirably. But one couldn't help but wonder what the
production might have been with the
original cast.
When the Metropolitan Opera decided to bring back Ambroise Thomas'
"Hamlet" after more than 100
years, the choice may have been less about recovering a forgotten
jewel from the vault and more about
showing off serious star power.
The French composer's 1868 opera provides a rangy showcase for the
title character and a highly affecting
mad scene for Ophélie – an ideal vehicle for baritone Simon
Keenleyside and Dessay. Keenleyside proved
an optimal choice. But his co-star was missed for her nuanced singing
and dramatic abandon as well as
her established connection to Keenleyside. The two had already
performed and recorded the work.
It's hard to say, though – if even all singers had fit perfectly in
their roles and if the chemistry had been
strong – whether or not the Keenleyside-Dessay pairing would have been
enough to carry the opera.
It would be easy to take issue with Thomas' "Hamlet," which doesn't
adhere to Shakespeare. There's no
Rosencrantz or Guildenstern, Ophélie stabs herself following a mad
scene, the ending has been changed,
and only the basic story of revenge and collapse remains.
But Thomas' music simply isn't as strong as music by other composers
who have taken on the Bard, from
the obvious Verdi, to Gounod, who, like Thomas, held fast to French
traditions, and Bellini, who, like
Thomas, presented a looser take. "Hamlet" drags, offering vocal lines
that usually suit the text but that don't tend to be especially
shapely or evocative. Drinking songs and rousing choruses — though
well sung
here — feel detached from the action and obligatory.
The exception is Ophélie's death, which receives its own Act. It
incorporates all the shuddering, high-lying
runs of a bel canto scena as well as touching passages from her
earlier duet with Hamlet and a kind of
ritualistic, tribal-sounding song as she contemplates the knife.
Petersen sang with pathos and impressive
agility. Her light, frothy soprano suited the character's fragility,
but Thomas' frequent leaps to the top of the
range sounded challenging.
Keenleyside made a star turn as Hamlet. His powerful presence and
full, hardy voice worked equally well
for fearsome confrontation and, scaled back, to convey fear or
introspection. He sang beautifully and
authoritatively — when the character exploded impulsively,
Keenleyside's portrayal seemed completely
genuine. If his scenes with Peterson were a little cool or forced in
their first show, that is likely to change
as the production continues. The production was subdued but with
memorable contributions from directors
Patrice Caurier and Moshe Leiser, set designer Christian Fenouillat,
costume designer Agostino Cavalca
and lighting designer Christopher Forey.

39. All of the following can be inferred from the passage except:
(a) Denyce Gravings of the Metropolitan Orchestra was substituted by
Kirsten Chavez who was not
a better singer than Denyce.
(b) The showcasing of 'Hamlet' by the metropolitan Orchestra seems to
lack a genuine concern for
the revival of the ancient play.
(c) Keenleyside and Dessay shared a good chemistry as they had
performed together at least once
and had recorded a work together.
(d) The author feels that even the chemistry of the singers and the
strength of the Keenleyside –
Dessay pairing could not have brought about the desired impact in the
Thomas' Hamlet opera.


40. According to the author, which of the following is the central
reason for Thomas' take on hamlet not
being so effective?
(a) The Keenlyside-Peterson pairing was not strong enough to create an
effective impact.
(b) There were many changes in Thomas' Hamlet when we compare it with
the original version by
Shakespeare.
(c) Thomas' take on Hamlet was a very loose one when we compare it to
the original version.
(d) There was a definite lacuna in Thomas' music, which was not good
enough to bring out the
intricacies of the play.

41. Which of the following is a point of criticism by the author as
regards Thomas's play?
(a) Thomas's frequent leaps to the top of the range seem challenging
for Petersen.
(b) Keenlyside's scenes with Petersen were a bit forced or slow.
(c) Petersen's portrayal of the character Ophelia is not as effective
as Dessay's would have been.
(d) None of the above.

RC 01

Directions for questions 31 to 33: The passage given below is followed
by a set of questions. Choose the
most appropriate answer to each question.
The Metamorphosis is so canonical, it's hard to offer an honest (or an
interesting) review. A story like this
one especially, which is loaded with bizarre props in an otherwise
realistic story, drives academic types to
hunt hard for symbolism. The endnotes to the story contain the most
tedious sorts of observations, whether
offering strong hints that it's an allegorical story (the business
with the father throwing apples at Gregor), or
the cultural symbolism of open or closed doors and windows, or dreary
notes on technique (the three
boarders are indistinguishable, which cleverly adds to the spookiness
of the story (sorry, if I saw it used in
Bugs Bunny, then I refuse to be awestruck). It may all be true even,
but although Kafka is careful about the
mood he builds, the purpose of the story isn't quite that
mind-boggling. Importantly, the story holds up just
fine as a story. It's more an odd exhibit to be appreciated than it is
a puzzle to be solved, and Kafka
manages to evoke emotions and convey scenery with economy and skill,
and on the basic level, here's
one that doesn't shy from being read and enjoyed.
I'm sure that any pointy-headed academic would be the first to tell
you that the sturdy storytelling is part of
what makes this story so beguiling (and here I start off on my own
wacky over analysis). The style holds up
against, and cleverly contrasts, the giant absurdity of the premise.
Kafka avoids in his own language, as
does Gregor himself, the predictable hysteria that would surround the
appearance of a gigantic insect in
Gregor's bed one morning. Gregor has transformed into the insect. His
bugginess is by no means ignored,
but there is, in places you'd otherwise expect it, a big,
beetle-shaped hole in the exposition. (It's a shame
sometimes what breaks through into the vernacular. Wouldn't a
cockroach upstairs be more evocative than
proverbial family-room pachyderms?) It's a different sort of balancing
act than Robbins was into, one that
gets the very structure of the narrative up onto the tightrope with
everything else.
And as much as I hate to dig into the comparative meaning of
everything here, Kafka does choose his
language with precision. The opening, "as Gregor Samsa awoke from
unsettling dreams" sets up his
contrasting views splendidly. It's not just an opposition between the
concrete prose and absurd circumstances,
there's a deep division at work here between the intellectual (or
realist) and emotional planes. Gregor is the
thinker of the story, approaching his new body with (quite obtuse)
rationalism. How will he open the door,
he thinks, how will he explain to his boss that he's late? He's the
character that is shown trying (and failing)
to express himself with reason instead of the predictable alarm. But
Gregor's every action is verminous,
and without his point of view, would only be seen as mindless: he
exudes filth and craves garbage, scuttles
about the ceiling and stuffs himself into dark places. To his family,
he hisses uncontrollably in anger, and
creeps around stealthily surprising their conversations. The people in
the story act, by contrast, emotional
and un-intellectual when confronted with the monstrous Gregor. Their
actions are all expected and natural,
but Kafka robs them of their reason in the face of horror. Kafka pulls
all sorts of switcheroos with these
dichotomies, playing with Gregor's empathy (much stronger than his
family's, though his sister shows
glimmers of it), with physical strength (Gregor's and his father's
waxes and wanes), and morality.

31. Which of the following would best describe Gregor's actions?
(a) He acts like a disobedient family member.
(b) He expresses himself rationally.
(c) His behaviour is similar to that of a pest.
(d) He succeeds in gaining the empathy of his family.

32. The author would agree with which of the following?
(a) The Metamorphosis is a story skillfully woven by Kafka with
incidents, which drive home the
point that it is an allegorical story with subtle symbolism.
(b) The Metamorphosis is an example of an allegorical story, which
confounds academicians and
aims to pose a conundrum for the readers.
(c) The Metamorphosis, by Kafka, is a skillfully told story with
bizarre props and tedious notes,
which provoke academicians to hunt for allegories or symbolism in it.
(d) The Metamorphosis aims to confound readers and academicians alike
with bizarre props and
allegorical incidents in an otherwise realistic story.

33. Which of the following can be inferred from the passage?
A. The way the story is narrated when contrasted with the absurdity of
the plot leads to an impression
of trickery.
B. Gregor shows an absolute disregard for reason when he finds himself
transformed into an insect.
C. Gregor's family members show more maturity and reason as compared
to Gregor after his
transformation.
(a) Only A (b) A and B (c) A and C (d) B and C

Saturday, 28 November 2015

QA Fundas

QA Fundas

‪#‎RattaMaro‬
Post all the shortcut formulas/techniques in Quants here.

Comments
Kartikey Sood
Kartikey Sood Area of |x+a|+|y+b|=k will be 2*k^2

Area of |px+a|+|qy+b|=k will be 2*k^2/(p*q)...See More
Like · Reply · 24 · 11 hrs
Kartikey Sood
Kartikey Sood What would be co-efficient of x^10 in ( 1 + x^2 - x^3)^8

{1+x^2(1-x)}^8...See More
Like · Reply · 3 · 11 hrs
Divyansh Bhateja
Divyansh Bhateja Bhai ye smjhaade...kbh smjh nh aata iska concept
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Debarun Bhuyan
Debarun Bhuyan Binomial expand Karo 2 times
Limiting conditions lagao
Like · Reply · 10 hrs
Tanveer Iqbal Ahmed
Write a reply...
Kartikey Sood
Kartikey Sood Ptolemy's Theorem : 

AB × DC + BC × AD = BD × AC
Like · Reply · 10 · 11 hrs
Debarun Bhuyan
Debarun Bhuyan Only for cyclic quadrilateral na?
Like · Reply · 1 · 10 hrs
Tanveer Iqbal Ahmed
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Kartikey Sood
Kartikey Sood In an equilateral triangle,
1) sum of distances of any point from the 3 sides = height of triangle. (Viviani's Theorem)
2) Sum of distances of any point from the 3 vertices= side * root 3 approximately
Like · Reply · 6 · 11 hrs
Sudhanshu Ranjan
Sudhanshu Ranjan side *root(3)/2 hoga na ?
Like · Reply · 10 hrs
Tanveer Iqbal Ahmed
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Kartikey Sood
Kartikey Sood Distance between centroid and orthocenter = 2* distance between Centroid and circumcenter.
The line containing these points = Euler Line. 
If the triangle is isosceles/equilateral, then the Incenter also lies on this...See More
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Akul Chhillar
Akul Chhillar what is D here?
Like · Reply · 5 hrs
Tanveer Iqbal Ahmed
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Shubham Chopra
Shubham Chopra Sum of All digits made by 0,1,2,3,4 . 4!*11111*10 - 3!*1111*10 .
Like · Reply · 1 · 8 hrs · Edited
Ashish Porwal
Ashish Porwal It is only when repetition is nt allowed
Like · Reply · 10 hrs
Nishchay Nath
Nishchay Nath Number of ones should be n times and n-1 times
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Tanveer Iqbal Ahmed
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Shiv Mistri
Like · Reply · 3 · 11 hrs
Indrajeet Singh
Indrajeet Singh Ye i quanta batch se h na grin emoticon
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Shiv Mistri
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Tanveer Iqbal Ahmed
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Debarun Bhuyan
Debarun Bhuyan |w|+|x|+|y|+|z|=N, integral solutions? 
Reply in this comment
Like · Reply · 2 · 11 hrs
Shiv Mistri
Shiv Mistri Same
As nonnegative integral
Solution : n+r-1c r-1
Like · Reply · 11 hrs
Saurav Suman
Saurav Suman 8n/3 (n^2+2)
Like · Reply · 4 · 11 hrs
Tanveer Iqbal Ahmed
Write a reply...
Shiv Mistri
Like · Reply · 5 · 11 hrs
Ashish Porwal
Ashish Porwal Anand Mittal ye dekh liyo free time mai ye wala formula kaam ka h
Like · Reply · 2 · 10 hrs
Tanveer Iqbal Ahmed
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Shiv Mistri
Shiv Mistri Hashtag mat maro .. Ye karo..
Shiv Mistri's photo.
Like · Reply · 1 · 11 hrs
Sharmaji Ka Ladka
Sharmaji Ka Ladka Ill delete all hashtags
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Tanveer Iqbal Ahmed
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Saurav Suman
Saurav Suman Total no. Of planes/regions formed by n lines ka formula?
Like · Reply · 11 hrs
Priyanka Rani
Priyanka Rani n(n+1)/2 +1 -n non paralllel
n(n+1)/2 +1 + m (n+1) -n non paralllel nd m paralel
Like · Reply · 4 · 11 hrs
Saurav Suman
Saurav Suman Unbounded?
Like · Reply · 1 · 11 hrs
Tanveer Iqbal Ahmed
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Sharmaji Ka Ladka
Sharmaji Ka Ladka Area of a right triangle giver its inradius and outradius?
Like · Reply · 11 hrs
Shiv Mistri
Shiv Mistri Area : s*r 
Big area : abc/4R
Like · Reply · 11 hrs · Edited
Sharmaji Ka Ladka
Sharmaji Ka Ladka It was something else
I cant remember,but looked like r^2+2rR....?
Like · Reply · 11 hrs
Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma Sum of n natural numbers
-> The sum of first n natural numbers = n (n+1)/2...See More
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Rahul Sharma
Rahul Sharma Maximum/Minimum

-> If for two numbers x+y=k(=constant), then their PRODUCT is MAXIMUM if x=y(=k/2). The maximum product is then (k^2)/4...See More
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Rahul Sharma
Rahul Sharma Mixtures

If Q be the volume of a vessel q qty of a mixture of water and wine be removed each time from a mixture n be the number of times this operation be done and A be the final qty of wine in the mixture then ,...See More
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Rahul Sharma
Rahul Sharma Some Pythagorean triplets:

3,4,5----------(3^2=4+5)...See More
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Sudhanshu Ranjan
Sudhanshu Ranjan sum of a series whose general term is n(n+1)/2 is n(n+1)(n+2)/6. For example : 1+ 3+6+10+15 = 5*6*7/6=35 smile emoticon
Like · Reply · 3 · 11 hrs
Rahul Sharma
Rahul Sharma (m + n)! is divisible by m! * n!
Like · Reply · 4 · 11 hrs
Rahul Sharma
Rahul Sharma 145 is the 3-digit no. expressed as sum of factorials of the individual digits i.e.
145 = 1! + 4! + 5!
Like · Reply · 2 · 11 hrs
Shiv Mistri
Shiv Mistri And 5 digit is 40585 tongue emoticon
Like · Reply · 1 · 11 hrs
Sapna Keshari
Sapna Keshari 4 such numbers exist
and other numbers are 1! and 2!
Like · Reply · 2 · 11 hrs · Edited
Tanveer Iqbal Ahmed
Write a reply...
Sapna Keshari
Sapna Keshari Where a no. is of the form a^n – b^n, then,
The no. is always divisible by a – b
Further, the no. is divisible by a + b when n is even and not divisible by...See More
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Rahul Sharma
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Sapna Keshari
Sapna Keshari haha grin emoticon
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma Where a no. is of the form a^n – b^n, then,

The no. is always divisible by a - b...See More
Like · Reply · 11 hrs
Rahul Sharma
Rahul Sharma Pascal's Triangle for computing Compound Interest (CI)
The traditional formula for computing CI is
CI = P*(1+R/100)^N – P...See More
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Abhishek Dangayach
Abhishek Dangayach Is this only applicable when R=10% ??
Like · Reply · 10 hrs
Tanveer Iqbal Ahmed
Write a reply...
Aspirant Cat
Like · Reply · 1 · 11 hrs
Rahul Sharma
Rahul Sharma Where 'P' represents principal and 'R' represents the rate of interest, then, the difference between 2 years' simple interest and compound interest is given by P * (R/100)^2
-> The difference between 3 years' simple interest and compound interest is given by (P * R2 *(300+R))/1003
Like · Reply · 1 · 11 hrs
Rahul Sharma
Rahul Sharma CALENDAR
-> Calendar repeats after every 400 years.
-> Leap year- it is always divisible by 4, but century years are not leap years unless they are divisible by 400....See More
Like · Reply · 5 · 10 hrs
Rahul Sharma
Rahul Sharma For any regular polygon, the sum of the exterior angles is equal to 360 degrees, hence measure of any external angle is equal to 360/n (where n is the number of sides)

-> For any regular polygon, the sum of interior angles =(n-2)*180 degrees...See More
Like · Reply · 3 · 10 hrs
Rahul Sharma
Rahul Sharma For an isosceles trapezium, sum of a pair of opposite sides is equal in length to the sum of the other pair of opposite sides (i.e. AB+CD = AD+BC, taken in order)
Like · Reply · 1 · 10 hrs
Saksham Aggarwal
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Ashish Porwal
Ashish Porwal Saksham Aggarwal He is champ of Quants so dont doubt
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Tanveer Iqbal Ahmed
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Er Shubh Varshney
Er Shubh Varshney email Id do
Like · Reply · 10 hrs
Rahul Sharma
Rahul Sharma For any quadrilateral whose diagonals intersect at right angles, the area of the quadrilateral is
1/2*d1*d2, where d1, d2 are the length of the diagonals.
-> For a cyclic quadrilateral, area = root((s-a) * (s-b) * (s-c) * (s-d)), where s=(a + b + c + d...See More
Like · Reply · 1 · 10 hrs
Rahul Sharma
Rahul Sharma Given the coordinates (a, b); (c, d); (e, f); (g, h) of a parallelogram , the coordinates of the meeting point of the diagonals can be found out by solving for
[(a + e)/2, (b + f)/2] = [(c + g)/2, (d + h)/2]
Like · Reply · 3 · 10 hrs
Putin Cat
Putin Cat Area of triangle when coordinates are given!
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma Area of a triangle
-> 1/2*base*altitude
-> 1/2*a*b*sin C (or) 1/2*b*c*sin A (or) 1/2*c*a*sin B...See More
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma In any triangle
-> a=b*cos C + c*cos B
-> b=c*cos A + a*cos C...See More
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Rahul Sharma
Rahul Sharma The ratio of the radii of the circumcircle and incircle of an equilateral triangle is 2:1
Like · Reply · 1 · 10 hrs
Rahul Sharma
Rahul Sharma Appollonius Theorem
In a triangle ABC, if AD is the median to side BC, then
AB2 + AC2 = 2(AD2 + BD2) or 2(AD2 + DC2)
Like · Reply · 3 · 10 hrs
Shiv Mistri
Shiv Mistri Arey Bhai turn on karo notification.. Kyu Hashtag post kar k.. Thread kharab kar rahe ho
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma Let a be the side of an equilateral triangle, then, if three circles are drawn inside this triangle such that they touch each other, then each circle's radius is given by a/(2*(root(3)+1))
Like · Reply · 3 · 10 hrs
Saurav Suman
Saurav Suman Chicken nugget.. 
Maxm unattainable value : ab-a-b;
No. Of values that cannot be obtained: (a-1)(b-1)/2
Like · Reply · 3 · 10 hrs
Ashish Porwal
Ashish Porwal CAT level se upar h ye I feel
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Saurav Suman
Saurav Suman Just in case tongue emoticon
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Tanveer Iqbal Ahmed
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Rashmiranjan Nanda
Rashmiranjan Nanda Abe turn on notification karo # tag ki Maa behen mat karo
Like · Reply · 10 hrs
Saurav Suman
Saurav Suman Pythagorean triplet general form: n, (n^2-1)/2,(n^2-1)/2 +1. For odd values of n
And
n, (n^2-4)/4, (n^2-4)/4 +2.. when n is even ...See More
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Rahul Sharma
Rahul Sharma DIVISIBILITY :

Divisibility by 2...See More
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Sudhanshu Ranjan
Sudhanshu Ranjan ye sahi dala hai guru like emoticon
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Tanveer Iqbal Ahmed
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Shubham Dahale
Shubham Dahale What is the formula for consecutive discounts given?
Like · Reply · 10 hrs
Shiv Mistri
Shiv Mistri CI wala but negative sign
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Sharmaji Ka Ladka
Sharmaji Ka Ladka a+b+ab/100...
NOte:Discount is in negative
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Tanveer Iqbal Ahmed
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Saurav Suman
Saurav Suman For trapezium abcd.. with ab and cd parallel sides : ( bd^2+ ca^2) = bc^2 + ad^2 + 2ab.cd
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Anamika Singh
Anamika Singh should be ad in thhe rhs?
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Saurav Suman
Saurav Suman *edited
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma If an equation (i.e. f(x) = 0) contains all positive co-efficients of any powers of x, it has no positive roots.
Like · Reply · 2 · 10 hrs
Ashish Porwal
Ashish Porwal Please quote an example sir
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Aspirant Cat
Aspirant Cat sign change nhi hogaa toh koi +ve root bhi nhi hoga
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma For an equation, if all the even powers of x have same sign coefficients and all the odd powers of x have the opposite sign coefficients, then it has no negative roots.
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Ashish Porwal
Ashish Porwal example please
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma For an equation f(x)=0 , the maximum number of positive roots it can have is the number of sign changes in f(x) ; and the maximum number of negative roots it can have is the number of sign changes in f(-x)
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Rahul Sharma
Rahul Sharma ***VVI***

If an equation f(x)= 0 has only odd powers of x and all these have the same sign coefficients or if f(x) = 0 has only odd powers of x and all these have the same sign coefficients, then the equation has no real roots in each case (except for x=0 in the second case)
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Ridhi Arora
Ridhi Arora plz xplain in detail using eg
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Sahil Gupta
Sahil Gupta x+x3+x5+x7=has no real roots except x=0
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma (n!)^2 > n^n
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Shiv Mistri
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Rahul Sharma
Rahul Sharma When a three digit number is reversed and the difference of these two numbers is taken, the middle number is always 9 and the sum of the other two numbers is always 9.
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Shiv Mistri
Shiv Mistri Ye sab sum the.. _/\_
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma Total no. of prime numbers between 1 and 50 is 15
Total no. of prime numbers between 51 and 100 is 10
Total no. of prime numbers between 101 and 200 is 21
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Rahul Sharma
Rahul Sharma The number of squares in n*m board is given by 
= m*(m+1)*(3n-m+1)/6
The number of rectangles in n*m board is given by ...See More
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Aim Cat
Aim Cat between 1 and 1000 - 168 primes
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Shiv Mistri
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Vidushi Naudiyal
Vidushi Naudiyal Formula clear nai h. cn u please type?
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Shiv Mistri
Shiv Mistri In question whatever is the value of n.. Put in the answer
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma If A can finish a work in X time and B can finish the same work in Y time then both of them together can finish that work in (X*Y)/ (X+Y) time.

If A can finish a work in X time and A & B together can finish the same work in S time then B can finish th...See More
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Rahul Sharma
Rahul Sharma Where a rectangle is inscribed in an isosceles right angled triangle, then, the length of the rectangle is twice its breadth and the ratio of area of rectangle to area of triangle is 1:2.
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Saurav Suman
Saurav Suman Side of the square with maxm possible area inside a triangle is base×height/(base+height); 
Works for cube in cone as well
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Tanya Tewari
Tanya Tewari For selection of non consecutive things in a row n-r+1Cr
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Priyanka Rani
Priyanka Rani in a circle its n-r+1Cr - n-r-1Cr-2
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Tanveer Iqbal Ahmed
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Shiv Mistri
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Anuj Kumar Sinha
Anuj Kumar Sinha Mobile ka poora screenshot chipka de aaj tongue emoticon
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Shiv Mistri
Shiv Mistri Train bus rickshaw diaries tongue emoticon
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Tanveer Iqbal Ahmed
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Shubham Dahale
Shubham Dahale √(k√(k..... N times)= k^(1-(1/2^n))
Same case but infinite tyms. =k
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Sharmaji Ka Ladka
Sharmaji Ka Ladka Perimeter of triangle=N(say 20)
No. of possible triangles shortcut?
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Saurav Suman
Saurav Suman [P^2/48]
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Shiv Mistri
Shiv Mistri Matlab tune mera uper wala photo save kia or frame ghar pe lgayega?
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Tanveer Iqbal Ahmed
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Mukul Sharma
Mukul Sharma A^n+1 ,B^n-1 hcf???
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Rahul Sharma
Rahul Sharma The fifth power of any number has the same
units place digit as the number itself.
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Rahul Sharma
Rahul Sharma * If a, b and c give remainders p, q and r
respectively, when divided by the same number H,
then H is HCF of (a-p), (b-q), (c-r) ...See More
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Shashank Sharma
Shashank Sharma Pratik Sahoo aao bhaiyya. Revision krlo
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Rahul Sharma
Rahul Sharma * If N = x^a*y^b*z^c where x, y, z are prime factors. Then,
Number of factors of N = P = (a + 1)(b + 1)(c + 1)...See More
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Rahul Sharma
Rahul Sharma Any single digit number written (P-1) times is
divisible by P, where P is a prime number >5.
Examples: 222222 is divisible by 7...See More
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Rahul Sharma
Rahul Sharma AM ≥ GM ≥ HM is always true. They will be
equal if all elements are equal to each other. If you have
just two values then GM^2 = AM x HM
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Sharmaji Ka Ladka
Sharmaji Ka Ladka Shortcut method for finding Rank of word(with and without repetition)
Photo or link
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Sharmaji Ka Ladka
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma SI and CI are same for a certain sum of money
(P) at a certain rate (r) per annum for the first year. The
difference after a period of two years is given by...See More
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Anuj Kumar Sinha
Anuj Kumar Sinha Rahul Sharma bhaiya book likh do _/\_ tongue emoticon
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Shashank Sharma
Shashank Sharma Sach m. Rahul Sharma on Aag-The Fire hai tongue emoticon
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Anuj Kumar Sinha
Anuj Kumar Sinha Iske que ni kiye tongue emoticon u missed the oppurtunity
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma Hands of a clock coincide (or make 180 ) 11
times in every 12 hours. Any other angle is made 22
times in every 12 hours.
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Shiv Mistri
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Sudhanshu Ranjan
Sudhanshu Ranjan Shiv Mistri ye thoda heavy ho gya tongue emoticon
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Tanveer Iqbal Ahmed
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Shiv Mistri
Shiv Mistri Zhellar- don't know how to
Pronounce.
Shiv Mistri's photo.
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Rashmiranjan Nanda
Rashmiranjan Nanda Charansparsh gurudev
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Shiv Mistri
Shiv Mistri Maine nahi likha hai ye.. Kisi Ne likha hua hai uska dhaap mara:)
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Tanveer Iqbal Ahmed
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Shiv Mistri
Shiv Mistri Raman Sharma wink emoticon
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Harsh Agarwal
Harsh Agarwal No side common Wala kaise hua?
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma If the sum of two or more positive quantities is
constant, their product is greatest when they are equal
and if their product is constant then their sum is the...See More
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Shiv Mistri
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Sahil Singhal
Sahil Singhal are these 6 different different series?
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma Centroid and Incenter will always lie inside the triangle.
- For an acute angled triangle, the Circumcenter and the Orthocenter will lie inside the triangle.
- For an obtuse angled triangle, the Circumcenter and the Orthocenter will lie outside the tri...See More
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Rahul Sharma
Rahul Sharma If a circle can be inscribed in a quadrilateral, its
area is given by = √abcd
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Shiv Mistri
Shiv Mistri Semi perimeter find kiye bina chalega ?
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Rahul Sharma
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma A parallelogram inscribed in a circle is always a
Rectangle. A parallelogram circumscribed about a
circle is always a Rhombus.
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Debarun Bhuyan
Debarun Bhuyan Set A has m elements, B has n 
Total no of functions 
Onto ...See More
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Rahul Sharma
Rahul Sharma Total number of functions : same as distributing n balls into m boxes : n^m ways 

Total onto functions : same as distributing balls into boxes such that no box remains empty : ( inclusion exclusion ) ...See More
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Rahul Sharma
Rahul Sharma *Each diagonal divides a parallelogram in two triangles of equal area.

*Sum of squares of diagonals = Sum of squares of four sides...See More
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Rahul Sharma
Rahul Sharma NOTE : From all quadrilaterals with a given area, the square has the least perimeter. For all quadrilaterals with a given perimeter, the square has the greatest area.
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Rahul Sharma
Rahul Sharma *If a sphere is inscribed in a cube of side a, the radius of the sphere will be a/2. If a sphere is circumscribed about a cube of side a, the radius of the sphere will be √ 3 a/2.

*If a largest possible sphere is inscribed in a cylinder of radius 'a'...See More
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Rahul Sharma
Rahul Sharma If we know three points A(x1,y1), B(x2,y2 ) and C(x2,y2) of a parallelogram, the fourth point is given by (x1 + x3 – x2, y1 + y3 – y2)
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Rishi Shrivastava
Rishi Shrivastava c (x3,y3)*
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Tanveer Iqbal Ahmed
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Rahul Sharma
Rahul Sharma Any set is a subset of itself, but not a proper subset. The empty set, denoted by , is also a subset of any given set X. The empty set is always a proper subset, except of itself. Every other set is then a subset of the universal set.

A set with 'n' elements will have 2^n subsets (2^n – 1 proper subsets)
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Rahul Sharma
Rahul Sharma Union of two sets is represented as A B and consists of elements that are present in either Set A or Set B or both. Intersection of two sets is represented as A B and consists of elements that are present in both Set A and Set B. 
n(AUB) = n(A) + n(B) — n(AintersectionB)
Similarly,...See More
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Rahul Sharma
Rahul Sharma Binomial :

*There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)^n....See More
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Rahul Sharma
Rahul Sharma Circular arrangement of 'n' distinct items: Fix the first item and then arrange all the other items linearly with respect to the first item. This can be done in (n — 1)! ways.

NOTE : In a necklace, it can be done in (n-1)!/2 ways
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Rahul Sharma
Rahul Sharma Number of ways of arranging 'n' items out of which `p' are alike, 'q' are alike, 'r' are alike in a line is given by n!/(p!*q!*r!)
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Rahul Sharma
Rahul Sharma If all terms of an AP are multiplied with k or divided with k, the resultant series will also be an AP with the common difference dk or d/k respectively.
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Rahul Sharma
Rahul Sharma *Range is a subset of Co-Domain. Co-domain may or may not have values which do not have a preimage in the domain.

*It is not a function if for some value in the domain, the relationship gives more than one value....See More
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Rahul Sharma
Rahul Sharma Distance between 2 parallel lines ax+by+c1=0 and ax+by+c2=0
is c1-c2/sqrt(a^2 +b^2)
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Debarun Bhuyan
Debarun Bhuyan Rahul ,cubes ka de do, no of ways,painted etc
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Abhishek Bhardwaj
Abhishek Bhardwaj No of cubes with 3 side painted =8
No of cubes with 2 sides painted = 12(a-2)
No of cubes with 1 side painted = 6(a-2)^2...See More
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Raghav Grover
Raghav Grover can someone tell the formula for crease formed when a rectangle opposite sides are joined?'
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Rishi Shrivastava
Rishi Shrivastava golden ratio 1.618
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Tanveer Iqbal Ahmed
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Kalwa Sai Krishna
Kalwa Sai Krishna Rahul Sharma bhai ____/\______
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Sharmaji Ka Ladka
Sharmaji Ka Ladka Equilateral triangle inside a circle
Circle inside eq. triangle
Circle inside hexagon...See More
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Anuj Kumar Sinha
Anuj Kumar Sinha Khtm hogye kya formulas? tongue emoticon
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Rahul Sharma
Rahul Sharma 5% hi huye hai tongue emoticon ek din ke liye itne hi kafi hai 
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Tanveer Iqbal Ahmed
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Abhishek Agrawal
Abhishek Agrawal Ye bhi yaad rakho
Simple h but imp
Abhishek Agrawal's photo.
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Kalwa Sai Krishna
Kalwa Sai Krishna Z^2...typo hoga
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Sharmaji Ka Ladka
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Tanveer Iqbal Ahmed
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Anuj Kumar Sinha
Anuj Kumar Sinha How to solve these types of series que:
Q-2,15,32,53,78,...
Find 20th term...See More
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Anuj Kumar Sinha
Anuj Kumar Sinha Copy pasting my previous post 

Since so many ppl are asking.. m making a post here......See More
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Anuj Kumar Sinha
Anuj Kumar Sinha ok so since yesterday I have got more than 20 msgs asking ki chicknet mcnugget mn-m-n hota hai ya (m-1)(n-1)/2 
Aap log bina smjhe formula rat lete ho.. let's see whats the difference
#Chicken_Mcnugget_2...See More
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Anuj Kumar Sinha
Anuj Kumar Sinha max no of regions in which plane is divided when m non-parallel lines and n parallel lines are drawn
{1 + m(m+1)/2 } + n(m+1)
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Shivam Kumar
Shivam Kumar {n(n+1)/2 +1 } + n(m+1) hoga unsure emoticon
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Debarun Bhuyan
Debarun Bhuyan Confirm Karo ek bar
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Tanveer Iqbal Ahmed
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Anuj Kumar Sinha
Anuj Kumar Sinha no of times a digit repeats itself while listing integers from 1 to 10^n is n*10^(n-1)

example- no of times digit 8 is repeated from 1- 1000...See More
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Anuj Kumar Sinha
Anuj Kumar Sinha no of times a no N can be expressed as product of 3 factors-
***special rule
if N can be represented as product of ditinct primes then no of ways are {3^(n-1) +1}/2 where n is no of different primes...See More
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Anuj Kumar Sinha
Anuj Kumar Sinha picks theorem I+ B/2 - 1 = A
I= no of integral pts inside 
B= no of pts on boundary...See More
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Anuj Kumar
Anuj Kumar Abe ye Kya hai ? tongue emoticon
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Tanveer Iqbal Ahmed
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Anuj Kumar Sinha
Anuj Kumar Sinha sum upto n terms of fionacci = f(n+2) - f(2)
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Shubham Chauhan
Shubham Chauhan ye kya hai?
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Anuj Kumar Sinha
Anuj Kumar Sinha squint emoticon tere level ka to ek v ni.. Fir is se q compare kr RHA tongue emoticon
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Tanveer Iqbal Ahmed
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Anuj Kumar Sinha
Anuj Kumar Sinha 1) X=√(n+ √(n - (√n + (√n - (√n +.... Find X
X= {√(4n-3) + 1}/2...See More
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Ashish Porwal
Ashish Porwal bhai ye logic se bhi ho jaaega itne kitne formulaes ratenge tongue emoticon
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Anuj Kumar Sinha
Anuj Kumar Sinha For those who want to save time n gud at mugging up smile emoticon 
Though i haven't mugged up..BT it might help others...so posted
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Tanveer Iqbal Ahmed
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Anuj Kumar Sinha
Anuj Kumar Sinha No of diaginals in a n sided polygon = nc2 - n

Max no of pts of intersection of diagonals in a n sided polygon =nc4 for n>6
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Siddhesh Chavan
Siddhesh Chavan no. of diagonal n(n-3)/ 2 yeh bhi hai na ?
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Anuj Kumar Sinha
Anuj Kumar Sinha Same hota h bhai
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Tanveer Iqbal Ahmed
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Yash Verma
Yash Verma Cauchy ke formula anyone? For max min
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Anuj Kumar Sinha
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Tanveer Iqbal Ahmed
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Yash Verma
Yash Verma Thanks
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Tanveer Iqbal Ahmed
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Sharmaji Ka Ladka
Sharmaji Ka Ladka if mod=0,then?
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Anuj Kumar Sinha
Anuj Kumar Sinha 0= divisor itself
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Tanveer Iqbal Ahmed
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Sahil Singhal
Sahil Singhal Jaspreet kaur can u plz derive 4th part?
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Jaspreet Kaur
Jaspreet Kaur derive ?
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Tanveer Iqbal Ahmed
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Anuj Kumar
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Aditya Kranti
Aditya Kranti F(x+1)+F(x-1)=Fx...then cyclicity 6
If - in place of + then cyclicity 3
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Debarun Bhuyan
Debarun Bhuyan Shandaar
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Tanveer Iqbal Ahmed
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Rishabh Kumar
Rishabh Kumar Yhi to chahiye tha...... smile emoticon
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Sudhanshu Ranjan
Sudhanshu Ranjan Bhai saare formulae yaad hain , IIM A ko bolo questions badha de tongue emoticon
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Aditya Tonage
Aditya Tonage Sharmaji Ka Ladka n all those who have shared their knowledge and those who will share further, dil se best of luck for all you guys. Dil khush kar diya tum logo ne.. smile emoticon
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Pankaj Palwe
Pankaj Palwe Incredible India !!
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Tanveer Iqbal Ahmed
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Zanabe Ali
Zanabe Ali If two bodies A and B start from two opposite ends of a linear track with the speed of X and Y respectively and they take x seconds and y seconds respectively to reach their opposite ends after meeting, then X/Y=[x/y]^(1/2)
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Abhishek Dhawan
Abhishek Dhawan nCr + nC(r-1) = (n+1)Cr
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Anuj Kumar Sinha
Anuj Kumar Sinha If no of trailing 0s in n! In any base
Multiply no of zeroes * (p-1)
Where p is highest prime factor of given no. In system base and exact no will b slightly more than that......See More
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Aditya Kranti
Aditya Kranti Reverse Engineering colonthree emoticon
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Zanabe Ali
Zanabe Ali ye kya kya - sab upar gaya tongue emoticon
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Tanveer Iqbal Ahmed
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Dipesh Monga
Dipesh Monga if f(x)+f(1/x)=f(x).f(1/x) then f(X)= x^n+1 or-x^n+1
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Madhav Srimohan
Madhav Srimohan If the probability of an event occurring is P, then the probability of that event occurring 'r' times in
'n' trials is = nCr x Pr x (1-P)n-r
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Sudhanshu Ranjan
Sudhanshu Ranjan if A and B complete a job and individually they take a and b hours respectively , more than the time their combination would have taken , then they do the job together in Root(ab) hours. I think ye chhut gya tha tongue emoticon
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Anuj Kumar Sinha
Anuj Kumar Sinha Post krne hi wala tha tongue emoticon 
WO dog police ka relative wala v krde
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Tanveer Iqbal Ahmed
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Preetika Tayal
Preetika Tayal Rashi Jain Real last minute tips tongue emoticon
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Rashi Jain
Rashi Jain Maaf karo bhai tongue emoticon
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QA
Preetika Tayal
Preetika Tayal padhle bhai, kya pata 3-4 sawal zada nikal jae
L nikal jaega tongue emoticon
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Tanveer Iqbal Ahmed
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Sudhanshu Ranjan
Sudhanshu Ranjan Anuj Kumar Sinha If a thief is running at a m/s and a cop is following at b m/s and he is some D distance behind. There is a dog with the cop having speed speed c m/s. The dog runs from the cop to the thief and turns back and comes back to the cop an...See More
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Anuj Kumar Sinha
Anuj Kumar Sinha Formula kon dalega tongue emoticon
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Sudhanshu Ranjan
Sudhanshu Ranjan woh nikal legi janta tongue emoticon
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Tanveer Iqbal Ahmed
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Sourabh Singh Vball
Sourabh Singh Vball Feeling tans for cat exam....
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