Official Quant thread for CAT 2013

In how many ways a student can score 160 marks in an exam consisting of 4 sections of 50 marks each ? ( NO OA )

What is the minimum value of x possible if |x|=|x-1|+|x-2|

Options

a)1

b)2

C)0

d)6

K is a 3 digit number .K1, K2, K3 are numbers obtained when K is in base 5,7 and 9 respectively. The units place in K1, K2, K3 is 2. How many such possible K values are there

a) 0 b) 1 c) 2 d) 3

There are 3 red color balls and 4 green color balls in a bag and 6 red color balls and 5 green color balls in another bag.Two balls are taken out of each bag.Find the probablity of not getting same color balls?

there are three players playing a chess competetion at a time only 2 players can play the game and player A wins 15 games player B wins 14 games player C wins 9 games so who played the 11th match and how many games did player C lost???

There are 8 chocolates on a table and I can pick 1, 2 or 3 chocolates at a time. In how many ways can I take all the chocolates from the table?


A. 64 B. 72 C. 80 D. 81

how many set of consiqutive no less then 1000 whos sum is divisible by 10 ?

When we perform a 'digit slide' on a number, we move it unit's digit to the fornt of the no. For example the result of digi slide on 6471 is 1647.Let z be the smallest positive integer with 5as its unit digit such that the resultof a digit slideon the no.equal to 4times the no. how many digit will z have?

A)7

B)6

C)4

D)3

@priyajas

how many set of consiqutive no less then 1000 whos sum is divisible by 10 ?



400 not sure

How many five digit numbers can be formed by using the digits 1, 2, 3, 4, 5 exactly once such that 1 doesn't appear at unit's place, 2 not on ten's place, 3 not on hundred's place, 4 not on thousand's place and 5 not on leftmost place?


A. 24 B. 44 C. 48 D. 52


approach plz

sherlock homes and dr. watson have to travel from rajiv gandhi chowk to indira gandhi international airpot via the metro. they have enough coins of 1,5,10,25 paise. sherlock homes agrees to pay for dr. watson, only if he tells all the possible combination of coins that can be used to pay for the ticket

.Q1. how many combinations are possible, if the fare is 50 paise?

a 52 b 49 c 45 d 44

Q2. how many combination are possible, if they get in international dignitary discount of 10% i.e. the fare is 45 paise?

a 45 b 44 c 39 d 36

A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the ends nearest to the cow.Seeing this cow ran towards the the train and managed to escape when the train was 2m away from bridge.If it had run in the opposite direction, it would hit by the train 2m before the end of the bridge.What is the lenght of the bridge in meters assuming the speed of the train is 4times that of cow?

A)32

B)36

C)40

D)cant be determined

How many numbers can be fromed from the digits 0,2,4,6,8 which are divisible by 8

let a0=1 and for positive integer n, define an=2an-1 if n is odd; and an=an-1 if n is even, Then what is the value of a100-a97-a96 equals??????

Two trains enter a tunnel from opposite ends simultaneously. The speeds of the trains are 54 kmph and 72 kmph. After 30 seconds, the trains completely cross each other. After 20 more seconds, the slower train is just out of the tunnel. Find the length of the faster train . Ans 300

If a, b, c are the roots of x³ - x² + 3 = 0, then find the value of (a+b)(b+c)(c+a).



A. -33 B. 3 C. 0 D. 30

In how many different ways three persons A, B, C having 6, 7 and 8 one rupee coins respectively can donate Rs.10 collectively.

Ans 47 .

There are 20 students in class studying 3 different subjects A,B and C. None of the students takes up a single subject alone. If each of these subjects is taken up by different number of students, find the maximum number of students taking all three subjects?

a)20
b)14
c)16
d)17


In ΔABC, D is the midpoint of BC. E is a point on AC such that AE : EC = 2 : 1 and F is a point onAB such that AF : FB = 3 : 1. Line segments AD and FE intersect at point O. What is the ratio of thearea of ΔDOF to the area of ΔDOE?(a) 8 : 9 (b) 9 : 8 (c) 3 : 4 (d) 4 : 3


What will be the HCF of 1111.....1111 (hundered ones) and 111........1111 (Sixty ones) ? Don't know the answer, please write the approach as well.