Official Quant thread for CAT 2013

A quadrant of a circle of radius 12 cm is cut out and the remaining part is folded to form a cone. Find the surface area (in sq.cm.) of the cone. (a)189π (b) 81π (c)108π (d) None of these


The answer given is 108 pi, shouldn't the answer be 189 pi ?

hey Puys,

had a doubt. what is the probability that the questions based on the statistics topic will be asked in CAT???

plz refer to the attachment.........

  • 10
  • 15
  • 25
  • 30

0 voters

the number of positive integral solution of abc=30 is...

option
a)81
b)243
c)27
d)none of these

approach please

Need HELP with this DI!!Refer to attachment below. Plz post EXPLANATIONS. Thanks in advance 😃

In a pentagon ABCDE, AB = AC = AD = AE = CD = DE. Find ∠CBE.


A. 30˚ B. 45˚ C. 60˚ D. 75˚

In a unique hockey series between India and Pakistan, They decide to play on till a team wins 5 matches. The no. of ways in which the series can be won by India, if no match ends in a draw is ?


The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system??????😠😲

There are 4 balls to be put in 5 boxeswhere each box can accommodate any number of balls.

In how many ways you can do this?
Both boxes and balls are different
  • 120
  • none of these
  • 5^4
  • 4^5

0 voters

Ram and Shyam run on a circular track starting from same position at same time but in different directions with speeds of 3m/s and 5m/s respectively. As soon as they meet, they interchange their speed as well as direction. How many times they meet till they both reach their starting point simultaneously?

f(N) is a function which gives number of positive integers that divided N completely. Find the maximum value of f(f(f(f(N)))) for a natural number N less than 2013.

how many integers between 1 and 100000 have sum of digit equal to 18?

options
a)24987
b)8993
c)25927
d)36592
approach please

It takes a pendulum of a clock 7 seconds to strike 4 o'clock. How much time will it take to strike 11 o'clock??

a. 18 sec
b. 20 sec
c. 19.25 sec
d. 23.33 sec...
😠😠😠😠😠

Raman, Ram, Ramu and Ramana bought a certain number of apples. Ramana bought half the number of apples bought by the other three. Ramu bought one-third the number of apples bought by the other three, while Raman bought two-fifths the number of apples bought by the other three. If each of them bought a distinct number of apples, find the ratio of the number of apples bought by Ram to the total number of apples bought by all four.

Ritu was asked to multiply a two-digit number N by a three-digit number M. But she mistakenly multiplied N by the number formed by writing the digits of M in the reverse order, thereby getting an answer which was 22770 more than the correct answer.


1) Find the correct product of N and M, if it is known that had Ritu reversed the digits of both the numbers N and M, she would have got an answer 12816 more than her earlier answer.


A. 9982 B. 13284 C. 32752 D. 45568 E. 13842


2) What is the minimum possible sum of the digits of M?


A. 8 B. 11 C. 6 D. 5 E. 7



Let A be a number with 2001 digits such that A is a multiple of 10! Let B be the digit sum of A, C be the digit sum of B, and D be the digit sum of C. What is the unit's digit of D?


PS: Don't have OA

How many two-digit positive integers are there which are one and a half times larger than the product of their digits?

A.0 B.1 C.2 D.3


Q5




O is the centre of the incircle inscribed in the square ABCD of area 1 sq unit. Another circle is drawn with centre at B and radius AB which intersects the incircle at E and F. What is the length of the chord EF?

(1+2+3+4+5+6+......54)+2(1+2+3+4+5+6+...........53)+3(1+2+3+4......52)+.....................53(1+2)+54(1).....



approach please ..

the total number of integral solution for (x,y,z)such that xyz=24...

options
a)36
b)90
c)120

approach please