Official Quant thread for CAT 2013

Find the second-last non-zero digit of 2²³ × 5³².


A. 5 B. 0 C. 2 D. 1

Find the number of ways of arrangement of the letters of word GAURANGA such that no two similar letters are adjacent.


A. 240 B. 480 C. 720 D. 960

[HELP NEEDED]


Guys I need help in solving equations like 18^312/13 (random) to find the remainder
= 5^312/13

after that I don't know how to proceed, please don't give that euler method, I will never understand it.. approach need..

Guys .. anyone having soft copy of TIME MATERIAL > ??

SM1001409 Book on Quantitative Ability (Quadratic Equations, Inequalities and Modulus, Special Equations, Progressions, Permutations and Combinations, Probability, Statistics, Number Systems, Trigonometry, Co-ordinate Geometry, Functions & Graphs, Operator Based Questions etc)


There are 6 straight lines in a plane, no 2 of which are parallel and no 3 of which pass through the same point. If their points of intersection are joined, then the number of additional lines thus introduced is


(a) 45 (b) 78 (c) 105 (d) none of these

@rishisoni

Hi. I am currently working in a mechanical firm since 2011. I had joined an engineering college in 2006 and was to complete my B.Tech in 2010. But due to a medical reason I could not appear for 6th semester examsand thus, got a year back. So technically I was 2 pass out in 2011. But at the time of leaving the college still some subjects were not cleared due to my negligence. I have apppeared for last 2 papers just last month and I am confident that i will get the degree this time.



Therefore, I want to clarify from all the other aspirants whether I am even qualified to sit for CAT and other MBA exams like SNAP, NMAT, etc?



8 answers 1) Yes



2 answers 2) No



1 answer 3) Maybe



if i would get a call from the top B-schools even if I score good marks in CAT and other MBA exams

Let P = {n! + 1, n! + 2, ..., n! + n} such that 'n' is a natural number greater than 42. At the most, how many elements in set P can be prime numbers?

In how many ways can 5 girls and 4 boys stand in queue such that Rahul (a boy) is at the end of the queue and no two boys are adjacent to each other?


Three positive integers are in geometric progression, and have a sum of 19 and a product of 216. What is the LCM of the three integers?

Hello Puys... PFA..it will definitely be useful.. 🍻🍻🍻🍻🍻🍻

The equations of two sides of isoceles triangle ABC are x+y=5 and 7x-3y=3 respectively. What will be the length of the intercept cut by the side BC on the y-axis.

a) 9/5 b) 8 c) 1.5 d) no unique solution

For given pair (x,y) of positive integer, such that 3x-11y=1 and given that x can take maximum value of 1000, how many such pairs are possible .

a) 46

b)71

c)88

d)none of these


P.S I don't have answer. Explain the approach

N=123123......300digits. Find the remainder when N is divided by 504.

Discuss the approach

the equation 4x-Ay=B has a number of integral solutions. If HCF(A,4)=1 and the number of solutions for (x,y) for 0a) 3

b) 2
c) 1
d) None of these

Discuss the approach

Help me with approach..........
if letters p ,q, r ,s represent a non equal digit

1) q>p and pq*qr=sss. then (pr)^2 = ?
2)qp+p=pq then p=?
3)rrr+q=qppp then p= ?





Pipe X and Y take 60 minutes and 90 minutes respectively to fill a cistern. Pipe Z can empty a cistern in 60 minutes. Pipe X and Y are opened when the tank is empty. Pipe Z is opened by an attender when the tank is half full. However, one rainy day, the attender comes late and delays the opening of the Pipe Z by 9 minutes.

What is the time difference of the tank overflow on that day as compared to the other days?

Options:

1.13 min 50 secs

2.13 min 30 secs

3.22 min 30 secs

4.14 minutes

5.None of these


Anil has bought a new game, which is in the form of 6 concentric circles. The 6th circle has a radius of 6 and it has 6 openings. A ball is positioned on the circumference of the innermost circle and it finally exits from the circumference of the outermost circle. Thus, the ball starts travelling from the smallest circle 1 and leaves it at the point of opening on the normal to reach the next circle 2, then it moves in a similar manner to 3 and so on. The total number of different paths in which the ball can take to come out of the 6th circle is?

Options:

1.2^6(6)!

2.2^5(6)!

3.6!

4.2^5(5)!

5.2^7(5)!

5a+2b+c=42 number of possible set of possible values of a,b,c satisfying this equation if a,b,c belongs to N . kindly discuss the approach plz


If cos B={sin A}/{2 sin C}, find the nature of the triangle...please explain your answers.. 1) isosceles 2) scalene 3) can't be determined