Official Quant thread for CAT 2013

If a person makes a row of toys of 20 each, there would be 15 toys left. If they made to stand in rows of 25 each, there would be 20 toys left, if they made to stand in rows of 38 each, there would be 33 toys left and if they are made to stand in rows of 40 each, there would be 35 toys left. What is the minimum number of toys the person have?

A. 12,55

B. 3,805

C. 3,800

D. 3,795

what is the remainder when (1!)^3 +(2!)^3+(3!)^3....+....(1152!)^3 is divided by 1152?

1)125
2)225
3)325
4)205

koi hai ....
ek venn diagram post karun ...

A survey was conducted on a group of people to know their reading preferences with respect to three magazines. It was found that 83 people regularly read RD, 58 read IT and 62 read NG.12 people read all the three magazines while 5 people did not read any of the magazines. Out of those who read IT, 27 do not read any other magazines, while out of those who read NG, 30 do not read any other magazines.
Q1 What is the maximum number of people who read IT and NG but not RD?

OA pata nahi hai ....
  • 17
  • 16
  • 20
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  • 18

0 voters

DOUBT FROM SEQUENCE AND SERIES>>>>>😠😠😠 plz help ..

DOUBT FROM SEQUENCE AND SERIES>>>>>

mgmgmgmg



A set of S consists of
i). All odd numbers from 1 to 55
ii). All even numbers from 56 to 150.What is the index of the highest power of 3 in the product of all the elements of the set S?

A.35

B.48

C.6

D.36

Each of X alarm tolls at regular intervals. All of them tolls together twelve times a day. No two alarm at equal intervals of time. If each alarm tolls after a whole number of minutes, what is the maximum possible value of X?


A.14

B.16

C.18

D.20

How many four digits perfect squares ABCD(where the digits A,B,C and D are not necessarily distinct) exist such that the numbers AB and CD are both two digits perfect squares?

7
6
5
1
guys please share your approach also along with the answer.

Let f(x) is a polynomial in x. When x is divided by (x-2) the remainder is 8.When f(x) is divided by (x+2) the remainder is 4.What is the remainder when f(x) is divided by (x^2-4).

a)x+32
b)0
c)x+6
d)x-4

If P=(x+3y+5z)((1/x)+(1/3y)+(1/5z)) and x+6y=6. For what value of z , P will be minimum.?

a)2/5
b)1/5
c)5/3
d)3/5

25! Last non-zero digit?

1. LCM of 'A' and 10 is 20. What are the possible values of 'A'? What are their respective GCDs?
2. LCM of 'B' and 60 is 180. What are the possible values of 'B'? What are their respective GCDs?

How many arrangements of the letters of the word CATASTROPHE are there in which both A s appear before both T s ?

X is the set of all pairs (p,q) where 1
Q. Find number of non-mates that each member of X has for n = 7??

a. 10 b. 36 c. 28 d. 21


Q. If two members of X are mates, how many other members of X will be common mates of both these members for n=9??

a. 5 b. 7 c. 11 d. 10


wat r d possible solutions of 2x-y=6 ? plz tell d method too.

This question is by one of the Big 4 interviewer!
Two ants are moving in opposite direction of a rectangle (only along the edges), What is the probability that at any point the ants will meet ?

Don't ask me solutions,coz I really don't know 😠

There are 28 identical looking coins , all of which except for 1 weigh the same. Using a common balance . what is the minimum no of weighings required to ensure that the coin with the different weigh is identified?


A) 3
B) 4
C) 5
D) 6



In triangle ABC, D is the midpoint of BC. If angle ADB = 45 degrees and angle ACD = 30 degrees, then what is the measure of angle BAD (in degrees)?

How many minimum weighings needed to identify an odd coin when you have 30 coins ..
a) no information whether it is lighter / heavier
b) lighter/heavier

in both cases all the other coins have same weight except that odd coin ! 😁 😁
post the approach too !