Official Quant thread for CAT 2013

Six men are in a queue at the ticket counter of 'PVR' movie theater. All of them want to buy a ticket which costs Rs. 75. Each of the six men has exactly one 'currency note'. Three of the men have 75 rupee-note and other three have 150 rupee-note. There are no ' currency notes' of any kind at the ticket counter initially. In how many different ways six men can be arranged in the queue such that there is no problem of extending change at the ticket counter?a. 144 b. 252 c. 216 d. 180

a and b race on a circular track with poles at every equal interval . they start together form a point and run in opp. directions and meet at pole no. 420 for the first time , for the second time they meet at pole no 210 . how many poles on track ?

(plz . provide explanation too)

  • 630
  • 420
  • 840

0 voters

what is no of ways to choose 4 numbers which are not consecutive(none of any two) out of 12 consecutive numbers ??...

I dnt have solution..... approach please.....

Ten books are arranged in a row on a shelf. In how many ways can 3 books be selected simultaneously from the shelf such that no two adjacent books from the shelf are chosen?

36

48

84

56 with explaination pls

In how many ways can a triangle be constructed by connecting three vertices of a regular octagon such that no side of the triangle coincides with the sides of the octagon?

16 Correct Answer

24

12

48 explaination please

Let Z = {1, 11, 111, 1111, ..., 11111 up to 55 times} and T be a subset of Z such that the sum of no two elements of T is divisible by 3. The maximum possible number of elements in T is?


All Logs are to Base 30.


LOG 3 = b
LOG 5 = c

So LOG 8 = ??

35x4y9z, a seven-digit number, is completely divisible by 44. If 'x', 'y' and 'z' are single digit whole numbers, find the sum of all the distinct possible values of (y + z – x).


a) 60

b) 66

c) 72

d) none of these

A palindrome is a number which reads same forward and backward, e.g. 121 is a three digit palindrome number. What is the sum of all three digit palindromes which are multiple of 13?

How many 3 letter words can be made using 2 A's, 3 B's, 4 C's and 5 D's?



Consider the numbers 3, 8, 13… 103, 108. What is the smallest value of n such that every collection of n of these numbers will always contain a pair which sums to 121?

A thief stole some mangoes. But 3 guards caught him. THe first two asked him to part with 1/3rg of the mangoes and one more. The last asked him to part with 1/5th of mangoes and 4 more. As a result he had no mangoes left. What is the no. of mangoes he had stolen?

A)12
B)13
C)15
D) None of these.

Correct Answer (c) .. how to solve this one? I didnt understand the language .. :/


A triangle ABC has 2 points marked on side BC, 5 points marked on side CA and 3 points marked on side AB. None of these marked points is coincident with the vertices of the triangle ABC. All possible triangles are constructed taking any three of these points and the points A, B, C as the vertices. How many new triangles have at least one vertex common with the triangle ABC?


a)256
b)257
c)207
d)127

A number xy is multiplied by another number ab and the result comes as pqr , where r=2y , q=2(x+y) , and p=2x where x,y
a) 11
b) 13
c) 31
d) 22


Answer: d). How to solve this one ???

If you form a subset of integers chosen from between 1 to 3000 such that no two integers add upto a multiple of 9 , what can be the maximum number of elements in the subset (including 1 and 3000)

a)1668
b) 1332
c) 1333
d)1336

answer is (d). How to solve this?? Any particular way we should keep in mind to solve such questions where you need to find total no. of possible no.s (which cant be approached thru options).TIA!


K is a three digit no. such that the ratio of the number to the sum of the digits is least. What is the difference b/w its hundreds and tens digits ?

a)9
b)8
c)7
d)none of these

ans. b)8

PH concentration to tht of water is given below.Water has PH of 7 liquid PH H2so4 2 HCL 2.5 NaOH 12 H20 7 MnOH 8.5 CuS04 7 Neutralize a mixture means bringing PH of 7.PH of a mixture is weighted average of the PH of the components(liquid) present in the mixture.

Q1>A solution has an equal percentage mixture of H2S04 and NaOH.What is the minimum percentage of liquid from amongst the table we should add to bring the PH concentration level equal to tht of water?

a>20% b>60% c>15% d>None of these


Q2>Equal concentration of all the liquids are mixed together.The total weight of the mixture is 36Kg.If a mixture of MnOH and HCL is used to neutralize the mixture.Find the ratio of MnOH:HCL used,if 24 Kg of new mixture of MnOH and HCL mixture is used

a>3:2 b>8:1 c>7:1 d>none of these


Q3>H2so4 ,HCL are acids.NaOH,MnOH bases and CuSO4 a salt.If i have to select atleast one acid,one base and one salt in denomination of one litre each,What is the minimum number of litres required if we need to get a neutral solution.

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

There are 24 students in a class seated in a row , from which 7 students are asked to stand up such that there are odd number of students between any two standing students ?


i don't exactly rem the options - this was asked in last simcat

do explain the approach , this problem murdered my time

How many integers may be the measure, in degrees, of the angles of a regular polygon?

Rajat decided to tell the truth on Mondays, Thursdays and Saturdays, but lie on every other day. One day he says, “I will tell the truth tomorrow.” What day of the week he made this statement?