Official Quant thread for CAT 2013

Hey guys, IIFT notification is out. If you didn't know, here is the link






Out of 100 students in a class , the number of students passing a final exam of Physics,Chemistry,Mathematics,English and Economics is 60,70,80,90,100 respectively.Furthermore it is known that exactly 10 students passed in all the papers.What is the maximum number of students who could have passed in at least 4 papers?? :banghead:
NO OA

The sum of a certain number and its square root is 90.find the number?

In a given fraction,if the numerator is multiplied by 3 and the denominator is reduced by 5,we get 3/2 but if the numerator is given fraction is reduced by 2/3 and the denominator is increased by 7,we get 1/10.find the fraction.

The arithmetic mean of a set of n numbers was calculated wrongly as 20, since the digits of one of the numbers, which happened to be a two-digit natural number, were interchanged. When calculated after the correction, the mean was found to be 26. How many values are possible for n ?
explanation please.

  • 4
  • 12
  • 6
  • 9

0 voters

@hexagon 👍 -

Is there any shortcut to find coefficients of any power of x in the equation :(x-1)(x-3)(x-5).....(x-33)

ex. how to find the coefficient of x^15 in (x-1)(x-3)(x-5).............(x-33).

Kindly share the approach.

1>

XYZ rolls a 6-sided dice six times. How many ways can she roll the dice so that the sum of her numbers is 10?



2>

Four die are randomly thrown. In how many ways sum can be 20 ?


What is the thousands digit of (1!*2!*3!*4!*5!*6!*7!) ?

sol plz

sol ?

sol plz

geometry problem


question on progressions

A, B, C and D are weighed one after the other in the same order. Each time an item is weighed, average weight is recalculated. If the average weights so calculated are in an AP with a common difference of 3 kg, then:

Direction:

Question:

What is the minimum weight of D? If all the weights are natural numbers.

Find 28383rd term of the series 123456789101112......


3. 4. 9. 7. Explain the solution please..

Hi, please help with this question:


The number, one less than 7^19 is divisible by
(A) 49
(B) 7
(C) 16
(D) 18
(E) 6

Thanks! !

there r 3 classes having 20, 25, 30 students respectively havin avg marks in in exam as 20, 25 and 30 resp. if 3 classes r represntd by A, B & C and folling inf abt 3 classes r avail:-

A -------- highst score 22 and lowest score 18
B -------- highst 31 and lwst 23
C -------- highst 33 and lwst 26
now 5 stdnts r transfrrd frm C to B, frthr, 5 more r transfrd from B to A, then 5 r transfrd frm A to B and finaly, 5 more r transfrd from B to C, then..

1. the minimum possible avg of B aftr this set of operation.?
2. If we set the highst possible avg of Class C as primry objecive and wnt to achiev highst possbl value for class B as secndry objective, what is the max value of class B's avg that is attainable.?

The real number K for which the equation 2x^3+3x+k =0 has 2 distinct real roots in (0,1)

1. between 2 and 3
2. between -1 and 0
3. doesn't exist.
4. between 1 and 2

Is it doesn't exist??
😲

Please explain your answer in detail , if somebody knows sigh -change rule please explain it .

Hi ,

Please help me with this question..
Find the hundredth digit of ((5^5)^6)^7.?