Official Quant thread for CAT 2013

Two vertices of a triangle are (5,-1) and (-2,3).If the orthocentre of the triangle is the origin,what will be the coordinates of the third point?

how do you solve this?


A0 = 1 A1=1 A2=-1 n>=3 and An= An-1 * An-3 find the value of A240???? .here n-1,n-3 are subscript. dont know ans

@relianceclassic

(1) 1.32 (2) 1.44(3) 1.56(4) 1.68



n the month of December, it is known that clouds or fog on an average of two days out of every three hides the sun. Find the probability that at least four out of five days the sun will be shining.

i dnt hav th ansr

15/248

11/243

2/27

2/81

1/81


Anil wrote the fractions 1/2, 1/3, 1/4, . . . . 1/100 on a black board. He repeated the following operation 98 times. In each operation two numbers, say p and q, on the black board were erased and are replaced by pq - (p + q) + 2. What number will remain on the black board?


101/100

100/99

99/100

Depends on the order in which the operations have performed.

{cos A/1-tan A}+{sin^2 A/sinA-cos A }= ?


sin A + cos A
sin A+ cot A
SinA + cosec A
2sin A

has anybody solved quantitative reasoning sums from arun sharma..need some help guys..

Find the area of the region represented by the graph of where [k] is the greatest integer less than or equal to k.


0

1

2

4

The equation of the straight line which makes an angle 60° with the line and passing through the point (5, 5) can be


(cos^2 A/ 1-tan A )+(sin^3 A/ sin A- cos A) = ?


1+sin A cos A
1+sin A tan A
1+cosec A cot A
1+ sec A cosec A

tan^ 6 A+ 3 tan ^2 A sec^2 A + 1 = ?


cosec^ 6 A
sec^ 5 A
sec^ 6 A
NOT

guys please post the approach as well dont have any clue how to solve this thanks in advance

Please provide approach for the attached Geometry question.

P.S. - I do not have the overall



aproach


A = {1, 4, 7, 10, ..., 2004th term}

B = {9, 16, 23, 30, ..., 2004th term}

If S = A U B, how many elements are there in S?

(a) 3722 (b) 3732 (c) 3914 (d) 3924


(sec A - tan A )/ (sec A +tan A)


cos^2 A/ (1+sinA)^2
sin^ 2 A/ (1+cos A) ^2
NOT

xplain

Find the number of 5 letter words that can be formed using the letters U, V, X, Y, Z where 'U' can be repeated any number of times and other letters occur at most once.


601

401

1461

501

x^6/9 remainder is 1 where 100

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Find out the no. of integral points within the region formed by |2x|+|y|=6

Can someone please help me out with this question :


What is the maximum possible integer value of p if 7 × 8 × 9 × 10 × ... ×135 = n × (720)p, where n is a natural number?


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