Official Quant thread for CAT 2013

is there any formula to find last digit of n! ???

If a,b and c are in an AP then a+1/b,b+1/ca,c+1/ab are

a.AP b.GP c.HP d.none of these

The 288th term of the series a,b,b,c,c,c,d,d,d,d,e,e,e,e,e,...is

a.u b.v c.w d.x

need basic funda

suppose x+y+z=30
where x>y>z
1. no of ways? non negative

where x>=y>=z
2.No of way? non negative


@scrabbler lookround
15 days holidays has costed me a lot 😠


there is a sheet of paper. 'A' picks it up and tears it into 10 pieces. 'B' comes and picks up atleast one of the 10 pieces and tears each of them into another 10 pieces. 'C' comes and does the same thing. Which of these can never be the number of pieces of paper in the end of the process?

a) 649 b) 469 c) 1000 d) 759


Find the ten's digit of 74^288 ?😐😐


a) 3 b) 6 c) 7 d) 8

if tn denotes the nth term of the series 2+3+6+11+18+....then t50 is

a.49^2-1 b.49^2 c.50^2+1 d.49^2+2

If a^x=b^y=c^z and x,y,z are in GP then log(basec)b is equal to

a.log(base b)a b.log(basea)b c.z/y d.none of these

A 6cm long cigarette will burn itself up in 15 min if no puff is taken .for every puff it burns three times as fast as during the duration of the puff . if the cigarette burns itself in 13 min ,then how many puffs has the smoker taken if his average puff lasted 3s?

( 17!^18! ) / 19!. Remainder=?

The number of terms common between the series 1+2+4+8....to 100 terms and 1+4+7+10+....to 100 terms is

a.6 b.4 c.5 d.none of these

hey i am frm kolkata-wbut (engineering)... what should i fill in my graduation % column in????? i have got my dgpa..... should i mention it (dgpa-0.75) * 100 or simply dgpa*10.. my dgpa is 7.71 .... i have found no proper methods or definite rules for dgpa in wbut.... having mixed views....

p.s- pls enlighten me regarding this.... m cnfused.... WBUT students pass out ones help me out.....

M is a two digit number which has the property that : The product of the factorial of the numbers is greater than the sum of the factorial of the numbers.

How many values of M exists?
  • 64
  • 79
  • 63
  • 56

0 voters

A man, having $2 in his pocket, goes to play his favourite game at a casino. The entry fee for the game is $1. If he wins, he gets $2 back whereas if he loses he gets nothing. He plays the game multiple times. He does not lose more than twice and leaves the casino as soon as he has $4 in his pocket. How many different Win-Loss sequences are possible for him?

  • 20
  • 8
  • 7
  • 19

0 voters

f(n) = 2^(n-1) + 1, when n is odd

f(n) = 2^(n-1) -1, when n is even

Find the remainder when f(1) + f(2) + f(3) + f(4) + ... + f(100) is divided by 127.
  • 91
  • 0
  • 126
  • 3

0 voters

There are four brands say W,X,Y,Z. A survey was conducted to get the consumer preferance of these brands.

Respondent can give a favourable response for more than one brand.

The sample size is 1200. Percentage of total respondents responding favorably to the brands are as follows

W-40%

X-50%

Y-20%

Z-35%

The number of respondents who reponded favorably to more than one brand must be atleast?

a)100 b)150 c)250 d)400

Please share the approach

find the area of smallest square

In an art class the teacher tells the students to draw the largest circle possible on a piece of paper in the shape of a square and then draw a rectangle lying between the circumference of the circle and the edge of the square such that a corner of the rectangle lies on the circumference of the circle and two sides of the rectangle coincide with those of the square. If the rectangle measures 10 cm × 20 cm then what is the area of the sheet of paper?

If 75% of a class of 40 students can sing and only 20% cannot dance, the maximum number of students who can neither sing nor dance is

0

6

8

CBD

The number of students present in the class of Manoj Yadav is M and out of those M students 22.1875% are stupids. If the number of stupids in the class is N then what can be the minimum value of M+N

1955
391
16200
1221785