Official Quant thread for CAT 2013

Let S be a set of consecutive positive integers such that for any integer n in S, the sum of the digits of n is not a multiple of 11. Determine the largest possible number of elements of S.

The work done by 2 men in a day is equal to the work done by 3 children in a day. The work done by3 men in a day is equal to the work done by 5 women in a day. It takes 10 days for a man, a woman and a child to complete a job working together. How many days will 2 children working together take to complete the same job?(a) 30 (b) 15 (c) 17 (d) 34šŸ‘

A man is standing at a point P. He can take one step at a time in any of the 4 directions, N-E-W-S. In how many ways can he end up at the same point P after 6 steps1)2562)5123)4004)200


Please explain .😠

Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which of the following cannot be the value of the unit's digit of the sum obtained?


1.0
2.2
3.4
4.5
5.6šŸ‘

P denotes the sum of two three-digit numbers such that P is 606. How many of the 10 digits from 0 to 9 cannot appear as the last digit of the product of these two three-digit numbers?


1)2

2)3

3)4

4)5šŸ‘

ABC is a triangle with AB=4 , AC=6 And a bisector of angle A is drawn joining line BC at J

A perpendicular from AJ joining B is drawn perpendicular point on AC is labed H i. e. BH is is perpendicular to AJ
M is midpoint of BC then find MH.

Different ways to divide two polynomial equations with explanation (if possible) ? For ex: Divide (x^5 + 3x^4 - 2x^3 + 5x^2 + 3x + 1) by (x^3 + 2x^2 - 3x + 1)

two concentric hexagons, each of the side of both hexagon are parallel. each side of internal regular hexagon is 8 cm. what is the area between two (space between two) , if distance between corresponding parallel sides is 2rt3 cm ??????????? :mg:

please solve question number 11

radius of cone is rt2 times height of cone. a cube of maximum possible volume is cut from the same cone. what is the ratio of the volume of the cone to volume of the cube?

please solve question 21

i havnt prerpared anything yet ...can i still go for it...

abhi i went through all the question on this page ...ek bhi question ki hawa nahi lag re h...

@meenu05 solution for q11

please solve the question

please solve this question .

An alloy of manganese,tin and bronze contains 90% bronze, 7% manganese and 3% tin. A second alloy of bronze and tin is melted with the first and the mixture contains 85% of bronze , 5% of manganese and 10% of tin. what is the percentage of bronze in the second alloy?

Bibi wants to send invitations to some of her friends to come to her birthday party. She has contact information for 37 friends stored on her phone, but she only wants to invite 21 of those people to her party. She tries to send out a message to the 21 people, but her phone malfunctions and sends the message to three random contacts (uniformly chosen). The probability that exactly one person who got the invitation was not supposed to be invited to the party can be expressed as a/b, where a and b are positive, coprime numbers. What is the value of a+b?

For how many positive integers n, less than 2013, n² + n + 9 is divisible by 49?


A. 287 B. 288 C. 575 D. None of these

please solve question 17