Official Quant thread for CAT 2013

@SaiKriss Figure to that question

There are 6 copies of a biography,5 of an autobiography and 4 copies of a novel.The no of ways in which one or more books can be given away :

Plzz explain how it is done?

What is the remainder when 6^83+8^83 is divided by 49?

2

0

4

6

I am a bit confused had it been 84 would have been able to easily solve through euler theorem but then what to do in such sums when the number is 1 less than the euler number

The nth term and the sum of the first n terms of a sequence are Tn and Sn respectively. If Tn = Tn-1 - Tn-2 and Tn≠0, then which of the following is definitely true?

a. S88 = S188

b. S66 = S160

c. S100 = S160

d. S120 = S142

If 1/a + 1/b= 1, (a+b)= M and b/a= N the relation between M and N is


(N+1)^2= NM
(N-1)^2= NM
(N+1)= N^2*M^2
(N+2)^2=(N^2)*M

Remainder 21^22/125 ??

If a+b+c=n

No of solutions such that a>b>c?

Case 1. a,b and c are natural numbers.

Case 2. a,b and c are whole numbers.

Please solve and explain @scrabbler @Subhashdec2 @Akrosh007

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 the foregoing

A bus covers a journey at an average speed of 90 km/h. If the time for which the bus stops during the journey is excluded, then the average speed for the journey becomes 108 km/h. For how much time, on an average, does the bus stop every hour?

Ram is having a mobile number 9834567891. In how many ways this can be expressed as a diff bet 2 perfect squares?


Approach of this question >>>??





Are der any ways to revise basic concepts?I know this may sound butPlease tell me what does revising basic concept means?

Please HELP ME

What is the remainder of 5^41/7

number of isosceles triangles from set (1,2,....100)

The value of log 1 (1/2) + log 1 (1/3) + + log 1 (1/4) + .............. upto 198 terms is equal to (Please note every term is to the base 10)


0
2
10
100

f(x) = 2^x -1 when n is odd and f(x) = 2^x +3 when n is even

What is the remainder when f(1) + f(2) + f(3) + ... + f(73) is divided by 9?

a) 2

b) 6

c) 1

d) 7

three circles with radii 1 unit each touch each other externally while a bigger cicle encloses all the three circle a smaller circle is drawn in the area enclosed by the 3 circles ,concentric with the bigger circle and touches the 3 medium sized circles. the ratio of radius of smallest circle to the biggest circle is


a.1/(4-2 rt(3))

b.1/(2+ rt(3))

c.1/(7+4 rt(3))

d.1/(3+ rt(3))

Santa and Banta who are at station X and Y respectively can walk at speeds of 10 kmph and 8 kmph respectively. If they start walking towards opposite stations then after how much time will the distance between them be 9 km, given that the initial distance between them is 135 km?

6 hrs

8 hrs

7 hrs

Cannot be determined


Find the tens digit of 61^20