Official Quant thread for CAT 2013

|x|+|y|=7, |x|^2+|y|^2=25, (x,y) belongs to R
how many values of x^3+y^3 are possible ?
a. 1
b. 2
c. 3
d. 4
e. 5

The minimum value of (x+5)(x+2)/(x+1) is 9 for x > -1

true

or false

A B C run a race.A gives B a head start of ym and C 2y m. A beats B by y and C by 2y M.The ratio of the speeds of A n B=0.5 times the ratio of B n C.Which of the following can be concluded abt the distance C would have run when A finishes the race?

1.y 3.=y 4.=y
Please explain the logic
I cant understand the explanation given😠

The maximum value of (100^n)/n! occurs at n = 100 only

true

or false


For any real numbers x, y > 1, x^2/(y - 1) + y^2/(x - 1) >= 8

true

or false


I) For positive p, q, r

the minimum value of 2q/r + (1+r)/2p + 2p^2/q is 4

II)x^4> x - 1/2 for all real x

Which among the above is true?

(a) Only I

(b) I && II

(c) Only II

(d) none of the foregoing

can anyone plz tell me how to find day on a given date. plz give examples??

In a skul of 100 students each of them play atleast C,F,V,B,H,T. It is knwn that 90 student play C, 80 students play F, 70 play H , 60 play B, 40 play V and 10 play T. Questn1. What is the max. No. Of students who play exactly five of the six games?

here something helpful for all..this would give ur ROUGH idea how many to attempt..
q/a; 21 attempt 13 right 8 wrong.. marks 31
v/a; 21 attempt 17 right 4 wrong.. marks 47
overall attempt 42, right 30 .. marks 78
expected cat percentile this year... plzzz post ur views, would help many of us

  • 90-92 percentile
  • 92-94 percentile
  • 94-96 percentile
  • more than 96
  • 85-90 percentile
  • 80-85 percentile
  • 75-80 percentile

0 voters

Let x be real and f(x) be the largest value of |y^2 - xy| for y in [0, 1]. What is the minimum value of f (x)?

(a) 1/4

(b) 3 - 2*(2^1/2)

(c) (2^1/2 - 1)/2

(d) none of the foregoing

Can someone pls help on hw to solve this question on distribution.

Each of the five persons - Suma Tarun Uday Yadav and Gopal is the owner of a field in a different city among A through E. Each of them planted different kinds of plants among - guava mango apple banana and watermelon.

The following is known about them

1) Mango plants are not planted in the city A. Uday planted apple

2) One among banana and guava plants is planted by one among tarun and gopal in city E

3) Tarun planted watermelon and Suman does not own a field in the city C

4) Neither apple nor mango plants are planted either in city C or city D

5) Trun does not have a field in D

Questions:

1. If Yadav planted guava, then who owns a field in city B ?

a.Uday b.Tarun c.Suman d.Yadav\

2. Who owns a field in the city A ?

a.Uday b.Tarun c.Suman d.Yadav

3. Who owns a field in the city C ?

a.Uday b.Tarun c.Suman d.Yadav

4. If Suman planted mango plants, then which among the following is planted in city D ?

a.Banana b.Guava c.Watermelon d.Cannot be determined

If f(x+y)=f(x)f(y) nd f(x) not equal to 0 then find the value of f(100x) !!

1. 100f(x) 2.100f(x)+1 3. f(x)^100 4. f(100)^x

pls explain

Find the maximum value of

3x + 4y

if

x^2 + y^2 = 6x - 4y - 4

(a) 8 (b) 9 (c) 10 (d) none of the foregoing

If a, b, c, d are real numbers with

a^2 + b^2 + c^2 + d^2 = 100,

then what is the maximum value of

2a + 3b + 6c + 24d?

(a) 240

(b) 250

(c) 300

(d) none of the foregoing

DI ques Please Explain ..seems simple but i m not able to do 😞

|x| + |y| + |x+y|

Find the area enclosed in the graph

a)1

b)2

c)4

d)1/2


How to solve this ??
and i don't know the answer, please discuss.......


21. If x + log10 (1 + 2^x) = xlog(10)5 + log(10)6 , find the value of x.

A ) 2

B ) 4

C ) 1

D ) 5


Hi Puys

Is there any formula to find the average time if 3 values of TIME are given..
Like for Speed we have formula as 3xyz/(xy+yz+zx) where x,y and z are the speeds


Please tell the approach..i mean how is it derived

Please find ahead the attached question

Vijay takes a loan of 4.3 lakhs from Ajay, and agrees to pay it back in three equal

annual instalments, payable at the end of each year, starting from the end of the 1st year.

If the rate of interest charged by Ajay is 10% p.a. on a simple interest basis, what is the

amount that Vijay has to pay each year?

A ) 184300

B ) 171800

C ) 196500

D ) None of these

SOLUTION