Official Quant thread for CAT 2013

1/3 log(m base 3)+3 log(n base 3) =1+log(5 base 0.008)
relaation between m and n????

1X2x3x4+2x3x4x5..................10x11x12x13?


Let S(n) be the set of the numbers 2 ± √(2 ± √(2 ± √2 ± · · · ± √2)))· · ·) having n square root symbols and (n + 1) 2's. Evaluate the product of all elements of S(n).
no OA .. tut pado :thumbsup:


i can use 2013 calendar again in which yr?

Delegates from 9 countries including A, B ,C, D are to be seated in a row. How many different seating arrangements are possible if the delegates of the countries A and B are to be seated next to each other and the delegates of C and D are not be seated next to each other?

Please solve this

(sinA+cosecA)^2+(cosA+secA)^2 will be equal to

Tan^2A+cot^2A+4

Tan^2A-cot^2A+5

Tan^2A-cot^2A

Tan^2A+cot^2A+7


Find a positive integer n such that Floor(⌊20n/13)⌋+Ceiling(⌈13n/20)⌉=2013.

Given that

x

is a real number satisfying

Floor([x+11/100⌋)+Floor([x+12/100⌋)+…+Floor(⌊x+90/100])=331,

what is

floor ⌊100x⌋

?no OA .. so post ur approach as well.


For any real number p, the parabola f(x)=2x^2+px+3p passes through the common point (a,b). What is the value of a+b?



Q1 of set of Qs which i guess aap log missed ... 😃

A 4 letter word is written down by taking letters from the word KANYAKUMARI. What is the chance of the word to be of all different letters??

The sum of the base-10 logarithms of all positive divisors of 10^n is 1274. What is n ? :thumbsup:


Q2. A card is drawn from the pack of 52 cards ...the card is then replaced and the pack is reshuffled ...it is done six times ...find the chance that the cards are drawn are 2 hearts, 2 diamonds, and 2 black cards???

Q4. A bag contains 36 tickets numbered from 0 to 35. 3 of the tickets are drawn at random. Find the probability of the sum of the numbers in the three tickets drawn to be 36 ??

A test consists of 4 sections.Each section has a maximum of 45 marks.Find the number of ways in which one can qualify the test .If the qualifying marks is 90.

:rolleyes:

Aman, Baman and Chaman can finish a job working alone in 15, 20 and 25 days respectively.However, while working with somebody the efficiency of Aman, Baman and Chaman reduces by30%, 20% and 50% respectively. If none of them is allowed to work for three consecutive days, thenwhat is the maximum possible fraction of the job that they can complete in four days?
a)21/50
b) 17/50
c) 8/25
d)1/3

😃

1/_/x+1/_/y=1/_/20



how many real possible solutions are there......?????


How many different terms does the product (a + b + c+ d + e + f)(c + d + e + f + g) have?

find the number of real solutions for equation

xyz+z=2

xyz^2+z=2

One third of Arun's marks in math exceeds half of his marks in English. If he got 240 in both the two subjects together, how may marks did he get in English 180/60/78/110

y = 1/3 + 3/18 + 15/162 +.....find the value of y^2 + 2y
a) 2
b) 1
c) 15
d) none