Official Quant thread for CAT 2013

A test has 50 questions
correct and = +1 mark
wrong attempt = -1/3
not attempt = -1/6
net score = 32
the number of question answered wrongly by student cannot be less than

6
12
3
9

What is the number of digits in 5^20?


1- 12

2- 13

3- 14

4- 15

Also want to highlight one more point here ...One of the classes in Mumbai has set up a Whatsapp group where they are discussing CAT questions and the head of the classes is solving the cat questions and distributing the solutions. ...One of my frnd who is into that classes was asking for CAT questions to post in tht group and obtain solutions but i declined. also the most disheartening part of the story is the classes belongs to one of the most respected and talked about aptitude guru, successive CAT and CET topper of past years.

Request you all not to share any details of your CAT questions to the friends from that classes (if you are able to guess from the hints) because if your frnd gets it ..he/she will post it in the group and the head of the class solves it and circulates the solution to all...which is absolutely unfair even if it does not help them ....lets us please act responsibly if others are not ....also @sir of the above class (as you are also quite frequent on PG) ..if you are reading this post kindly refrain from continuing activities like above Whatsapp discussion.....I hope you understand the relevance of fairness in the system ... @pagalguy @laj ..I hope I am not violating any PG norms here, kindly guide me on that.....sorry for hurting any sentiments 😐


Also Puys as soon as You see a CAT question which was asked in your slot on this thread or anywhere in PG...kindly report it immediately to PG,

What is the sum of all the possible values of a natural number 'n' that satisfy

(n^2 - 2n)^(n+47) =
(n^2 - 2n)^(16n -16) (edited)

Why OA = 19, Why not 18 ????

How many surjective functions are there from f(1,2,3,4,5) to f(1,2,3,4) ??


Please somebody explain the logic behind questions like -
Find the no of integral solutions of x^2 - y^2 = 60 ??

If five varieties of rice, costing Rs.10/kg. Rs/ 20/kg, Rs. 30/kg, Rs. 40/kg and Rs. 50/kg, are mixed in the ratio a : 2a : b : 2b : a + b respectively, and the mixture is sold at Rs. 30/kg, then which of the following can never be the profit/loss obtained?

• (A) 21% loss (B) 1% loss

• (C) 21% profit (D) 1% profit

If a1 = 1 and an + 1 = 2an + 5, n = 1, 2 ..., then a100 is equal to


a(5 × 2^99 – 6)

b(5 × 2^99 + 6)

c(6 × 2^99 + 5)

d(6 × 2^99 – 5)


Q1. The square of the sum of the roots of a quadratic equation is thrice the product of its roots. The roots of the equation are
a) rational and equal
b) rational and unequal
c) not real
d) a) or c)

Q2. P,Q are real numbers not both of which are 0.
P^2000/(y-1) +Q^2000/y = 1
How many real values of y satisfy this eqn? (O/1/2/1 or 2)

the number of distinct points common to curves
x^2 + 4(y^2)=1
4(x^2) +y^2 =4^2

1. 61
2. 65
3. 51
4. none of these

two persons start simultaneously from the same point and run on a circular track in the same direction. They meet each other for the third time after the slower person has completed exactly 9 laps in T minute. Had they travelled in the opposite directions they would have met for the seventh time after 21 minutes. Find the value of T-

😉😉


The number of positive integer valued pairs (x, y) satisfying 4x - 17y = 1 and x

a 59

b 57

c 55

d 58

there are two circles which intersect each other at (0,2) and (0,-2) .a tangent through one circle passes through the centre of another circle .find the area of a circle.

1 : In how many ways can you fill a cube with six different colors ? 2: In how many ways can u fill a cube with red,blue and green such that exactly two faces are blue ?


how many natural number divide exactly one of the numbers 24,60 and 144??

Solve

@unregisterjyoti

there are two circles which intersect each other at (0,2) and (0,-2) .a tangent through one circle passes through the centre of another circle .find the area of a circle.



plz help guyz

Mr. P.K.Talli bought a bottle of 180ml of ethanol from his friend who was a chemist. First he drank Vml from the bottle and replaced it with water. Next he drank (180-V)ml from the bottle and replaced it with water. Find the value of V for which the percentage of ethanol present in the bottle in the end will be maximum. Apprch??
😲
Options- 1). 30
2). 120
3). 60
4). 90

A regular polygon with even number of sides is inscribed in a circle. 126 of the diagonals of the polygon do not pass through the centre of the circle in which it is inscribed.Find the number of sides of the polygon.

Hey guys, I know it's lame to ask but do we need to get the CAT admit card attested from anywhere? And any picture sticking? And the admit card is just that mail that they'd sent us?
Please help!embarrased