Official Quant thread for CAT 2013

In triangle ABC, AB = 4 cm, BC = 3 cm and AC = 5 cm. Points D and E are chosen on AB and AC respectively such that ang BDC=ang ACB and ang BEC=ang ABC and What is AD/DE?

a) 9/16

b) 35/64

c) 9/25

d) 3/4

The average age of a family of four persons - father, mother and a pair of twins at present is 8 years less than what it was 4 years ago. What will be the difference between the average age of the parents and that of the twins 4 years hence?

16 years

24 years

20 years

Cannot be determined

Puys pls find attached a solution.In that I have a doubt as to how BC value was obtained as 8-r.

Ashok and Bipin can complete one round of the circular track in 44 seconds and 36 seconds respectively. Both start running simultaneously in a clockwise direction from a point P on the circular track at time 't' = 0. At least how many rounds of the circular track must Bipin complete to be at maximum possible distance from Ashok?

2.75

2.5

3.25

3.5


@scrabbler SIR YE QUES EXPLAIN KAR Do , without lcm approach

how many integral solutions are possible for the inequality |2x-5|+|x-7|

for how many integers n, n/(20-n) is the square of an integer?

what is the lcm of 1 to 200 natural numbers ???

how many real solutions of the eqn of logxlog4log3log9 (27^(x^2-2x+6))=0 ?



For 4 real distinct positive numbers p,q,r,s, let

A=max [ min (p,q), min (q,r) , min (q,s) , min (p,s) , min (p,r) , min (r,s) ]

B=max [ min(p,q,r) , min(p,q,s) , min(p,r,s) , min(q,s,r) ]

C=min [ max(p,q,r) , max(p,r,s) , max(p,q,s) ]

D= max(p,q,r,s)

E=min(p,q,r,s)

F= min[ max(p,q) , max(q,s) , max(p,s) , max(p,r) , max(r,s) ]


Let p,q,r,s be four consecutive even numbers. Which of the following represent the mean of p,q,r and s ?

  • (B+C)/(D-B)
  • (B+C)/(D+B)
  • None
  • (B-C)/(D+B)

0 voters

a,b,c,d,e are non-negative real numbers such that a+b+c+d+e=10. let X be the maximum of the number a+b, b+c, c+d, d+e. the least possible value of X lies in the interval 1) [0,2]
2) [2,3]
3) [3,4]
4) [4,5]
5) [5,10]
explain with thorough solution.

What exactly is the IIFT Compendium 2013 released by CL? And is it actually any help?

How many triangles can be drawn from N given points on a circle?

N!
3!
N!/3!
(N-1)N(N-2)/6

If s= {1,2,3,4,5,6,7,8,9}. How many ordered tiplets {a,b,c} can be formed such that at least one of them is 1. ?

Please give approach........


What are the number of integral Solutions X^2 + Y^2= 45^2.

Approach Plz

In how many ways we can put 3 distinct balls in 7 distinct boxes? 😃
aise hee concepts check krne ke liye pucha h 😛

a & b are integers. u and v are AM and GM respectively. which among these is the heights given that b>a

a)a^1/2
b)b^1/2
c)u^1/2
d)v^1/2

X^2 + Y^2 = 45^2

no of integral solutions.

geometry...

geometry

A farmer has four straight pieces of fencing: 1,2,3,4 yards in length. What is the max area he can enclose by connecting the pieces? Assume land is flat.

a)2 root6
b)3 root6
c)2 root5
d) none

Approach please.