Official Quant thread for CAT 2013

value of exp (x^2-x+1)/(x-1) cant lie between ???
(1,3)
(-1,-3)

(-1,3)
(-1,2)
from arun sharma,
can someone explain a logical solution to this(not trying the options.. )

the ratio of price of pen to pencil is 5:1 whereas the ration of weight of pen to wieght of pencil is 3:1. The weight of a packet of pencil is twice the weight of a packet of pen. By what percentage is the price of packet of pen is less than the price of packet of pencil?

when the numbers 5,7,11 divide a multiple of 17, the remainders left are 4,6,10 respectively. which multiple of 17 gives the least number that satisfies the given condition

(a) 384th
(b) 317th
(c) 385th
(d) none

Please find question attached based on DI, one question is with the attachment and other 2 m posting here. Please provide the solution also.
Q11 . What is the maximum possible number of students who could have scored more than 40% but not more than 60% in atleast four of the 6 subjects?
a) 16
b) 15
c) 14
d) None of these

Q12.
What is the minimum possible number of students who could have scored more than 60% but not more than 90% in atmost 3 of the 6 subjects?

a) 40
b) 38
c) 36
d) None of these


can anyone suggest me a book with toughest questions on Quant for cat? tough questions as in what they have in summers for logical reasoning. Please dont suggest arun sharma.

TIA

Minimum possible value of |x-2| + |2x+1| - |x-1|

What is the remainder when 25^26^27 is divided by 7? Kindly explain with method, if possible step by step procedure.

P(a,b) = P(a-b,b) for a >= b
P(a,b) = a for a

Given that P(a,7) = 4 ; P(a,11) =6 ; P(a,13) = 3
Find P(a, 17), if 'a' is a positive integer between 2000 and 3000.


a-6

b-8

c-11

d-12

e-10


a-Only I and II

b-Only I, II and III

c-Only II and IV

d-Only I, II and IV

e-Only II


If one root is the square of the other root in the equation x^2 + px + q = 0, mark the correct relationship in the following options.


a ->p^3 – q (3p + 1) + q^2 = 0

b ->p^3– q (3p – 1) + q^2 = 0

c ->p^3 + q (3p – 1) + q^2 = 0

d ->p^3 – q (3p – 1) – q^2 = 0

e ->p^3 – 3q (p – 1) + q^2 = 0

A's project report consists of 25 pages each of 60 lines with 75 characters on each line. In case the number of lines is reduced to 55 but the number of characters is increased to 90 per lines, what is the % change in the number of pages (tracking number of pages as a whole number).

Explanations please.

A's project report consists of 25 pages each of 60 lines with 75 characters on each line. In case the number of lines is reduced to 55 but the number of characters is increased to 90 per lines, what is the % change in the number of pages (tacking number of pages as a whole number).

Explanations please.

There are four letters and four envelops addressed to different persons. In how many ways can

wrong choices be made?

(a) 64 (b) 23 (c) 16 (d) 255

Help Needed. 😃

HOW MANY DIGITS ARE THEIR IN 3^74?

For Time Material 2012 Pune Message me.

Find the number of 3-element sets of distinct positive integers {a,b,c} such that abc =420??

Plz guide!

I have taken around 5-6 mocks till now with %iles varying from 70%ile to 88%ile. The problem is that my VA/LR score is always >40/90 and is improving but QA/DI almost never goes above 25/90!!!

I have been trying a lot since 2 months now studying almost 4-5 hours daily and it's getting frustrating because in my first mock I got 20/90 in QA and till now I haven't been able to cross 30!! (Very little improvement for that much effort!). I refer to Arun Sharma and TIME Material.

PLZ ADVISE AS TO WHAT SHOULD BE MY STRATEGY FOR THE NEXT 2-3 MONTHS!?

number of quadratic equations that can be formed with real and unequal roots by taking coefficients from set{0,1,2,3} any short cut method??

The number of values of k for which the system of equations have infinite solution-

(k+1)x + 8y = 4k

kx + (k+3)y = 3k – 1