Official Quant thread for CAT 2013

can anyone help for IIFT preparation guys....................wht to read and learn for general awareness?

P works faster than q. Will he take more than 20 days to complete a job X ?

1) The sum of times that p and q would take to complete X is 50 days

2) p would take 10 days less than q to complete x

opitons:

a)If the data in St1 alone is sufficient while data in st2 alone is notb)data in st2 alone is suffice , while data in st1 alone is notc)if the data in st1 alone or st2 alone but not bothd)if the data in both the st's together is suffice to answer the questione)if the data even in both the st's together is not suffice to answer the question


I dont have OA - but I believe both of the statement is necessary .. please solve and share

what is the remainder when 2^99 is divided by 99 ?

Any tips or shortcuts for this ?

The longest diagonals DE and PQ of two regular hexagons each of side 2 cm bisect each other perpendicularly. What is the area (in cm2) of the shaded triangle ABC?


Figure attached.

An equilateral triangle circumscribes three circles of radius 1 cm.....what is the perimeter of the equilateral triangle ??

Options 1) 6 ( Root 3 + 1) cm

2) Root3 (8 + root 2) cm

3) 15 ( root 3 - 1 ) cm

Find the number of quadratic polynomials ax2 + bx + c such that: a) a, b, c are distinct. b) a, b, c E {1, 2, 3, ...2008} c) x + 1 divides ax2 + bx + c

a) 2013018 b) 2013021 c) 2014024 d) 2018040

How many divisors of 25200 can be expressed in the form 4n + 3, where n is a whole number?

i dont have OA 😞
  • a) 6
  • b) 8
  • c) 9
  • d) None of these

0 voters

@rainbow54

There are 3 dice: Red, Blue and Green. Value of Red=a, Blue=b and Green=c. For equation ax+b+c=0 what is total no. of ways for solution to be 3.

7. There is a square field of side 500 m long each. It has a compound wall along its perimeter. At one

of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The

compound wall and the fence will form its borders. If the length of the fence is 100 m, what is the

maximum area that can be cordoned off?

a. 2,500 sq m b. 10,000 sq m c. 5,000 sq m d. 20,000 sq m....explain in detail

How many natural numbers less than 1000 can be expressed as difference of squares of whole number in at least 1 way ??


500
250
100
400
Approach ?? I dont know the answer

how do u find out thw equation of a line with point A(0,1) and B(0,1).... 😞

Let p, r (3,4,5,6,7) & q (6,7,8) . Find the no. of the form px^2+qx+r=0 having complex roots...


plz explain short process (total values- values which it cannot tk).
OA-dnk

@Asfakul

Find the number of quadratic polynomials ax2 + bx + c such that: a) a, b, c are distinct. b) a, b, c E {1, 2, 3, ...2008} c) x + 1 divides ax2 + bx + c



a) 2013018 b) 2013021 c) 2014024 d) 2018040



can anyone tell the approach of solving

In an A.P sum of 5th , 7th , 9th , 11th, and 13th term is equal to sum of 14th and 22th term. For how many different sets of 1th or more terms of an A.P is the sum of the terms in the set equals to zero.


note- error done by most of the students in possible cases...
OA-dnk

An A.P has 2k(k is natural) terms. The sum of first, third, upto 2k-1 terms is 186 and sum of other terms is 216.If last term is 55 more than the first term, find the FOURTH term.

let A = (1,4,7,...100).Let S be a subset of A such that any 3 elements of S will give sum 105.let n be the min. value of no. of elements in S..what is the value of n?

In how many ways four digit no. can be formed such that 2 and 8 come together without repeatation...OA-dnk


If 12 balls are selected at random from box containing at infinite no. of white , red and black balls. Find the probality that such set contains exactly 6 white balls. (OA-if 1/13) plz explain approach...

Minimum possible perimeter of a triangle with integer sides in which one of the angles is 120 degrees.

1) 12

2) 15

3) 10

4) 14