Official Quant thread for CAT 2013

How many three digit numbers are there whose sum of digits is not greater than 16 ?


In how many ways can six letters – A, B, C, D, E and F – be written in a circular arrangement such that D is adjacent to B and is diametrically opposite E?(a) 6 (b) 8 (c) 10 (d) 12

For how many positive integer values of 'x' is ||||x – 1| – 2| – 3| – 4|

CAT 2008 question : Data Sufficiency
Is abcd, a 4digit number, divisible by 4?
Given are 2 statements. Can the above question be answered using both or one of the following statements? :

I. c+d is divisible by 4.
II. 6c + 9d divisible by 4.

Find the 3 digit second lowest number that is a perfect square in ANY base.

x^3 + y^3=2013. Find the possible values of x and y.

a. 2
b. 5
c. 1
d. 10
e. none of these

Let there be a right angle triangle. Shortest side is of length (2013)^1/2. Number of possible values for the other two sides is?


a. 1
b. 4
c. no solution
d. 3
e. 8

A car mechanic purchased 4 old cars for Rs. one lakh. he spent total Rs. two lakh in maintenance and repairing of these four cars. What is average sale price of rest of 3 cars to get 50 % profit if he has already sold one of the four cars at Rs. 1.2 lakh.?
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cost of setting up a magazine is Rs. 2800. cost of paper and ink etc is Rs. 80 per 100 copies and printing cost Rs. 160 per 100 copies. in last month 2000 copies were printed but only 1500 copies be sold at Rs. 5 each. total 25% profit on sale realized. there is one more resource of income from magazine which is advertising. what sum of money was obtained from advertising in magazine?

A frog is at a point (0, 0). It jumps to point which has integer coordinates. It can jump a length of 5 units at a time. What is the minimum number of jumps needed to go to (3,0)?

number of distinct prime divisors/factors of
512³ - 253³ - 259³?????


In Δ ABC, AB = 24 units & BC = 32 units. Find AC, if AD and CF are medians and are perpendicular to one another.

Let S be the set {1,2,3,...19}. For a,b belong to S, define a>b to mean that either 0 9 .How many ordered triples (x,y,z) of elements of S have the property that x>y,y>z , and z>x?

The batting average for 40 innings of a cricketer is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of player?

pls suggest an efficient approach to it ( not involving much calc.).

A and B r running on circular track of radius 175 m. A can complete a round in 100 seconds, speed of B is twice the speed of A. they started at same timer towards each other from two pts 350 m diametrically opposite on circular path. if they first meet at a pt called love point, which is between P and Q from where they have started their race, after how much time will they meet at love point for the 3rd time?

Help Needed 😃

Hi Puys,need answer for this,pls help.question in the attachment.

@hexagon

THE no of ways in which three distinct nos in AP can be selected from 1,2,....24

144



276



572



132



It's 132 Approach: Divide the numbers in two segment..as 1,2,3.....11,12,|13,14,.....23,24 Now,2*AM = the first term and the third term when 12 is the AM,then possible first terms are 11,10,...2,1 = 11 ways and it's the same when AM is 13 by doing this till 2 and 23,we get, = 2*(11+10+....2+1) = 132

ABC is a triangle with AB = 12cms & AC = 6cms, and Angle BAD = Angle CAD = 60 degree. D lies on BC. Find AD.

Alex has 75 red tokens and 75 blue tokens. There is a booth where Alex can give two red tokens and receive in return a silver token and a blue token, and another booth where Alex can give three blue tokens and receive in return a silver token and a red token. Alex continues to exchange tokens until no more exchanges are possible. How many silver tokens will Alex have at the end?