Official Quant thread for CAT 2013

Let S1= {a1, a2, a3, a4} and S2= {1, 2, 3, 4, 5}. How many 'one to one' functions can be defined from S1 to S2 such that f(an) ≠ n for more than two values of n?


120, 115, 116, 54

Three sprinters A,B,C had to sprint from points P and Q(Starting in that order. The time interval between the starting times of A,B,C is 5 sec each i.e. C starts 10 sec after A, B starts 5 sec after A.The three sprinters passed a certain point R between P and Q simultaneously ( None of them having reached point Q yet). Having reached Q and reversed the direction, the 3rd one meets 2nd one 9 m short of Q and met 1st one 15 m short of Q. Find the speed in m/s of the 1st if PQ=55

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How many ways can two rooks one white one black - be placed on a chess board in such a way that neither of them is in a position to 'kill' each other?

can anyone solve this....rolleyesrolleyes

Someone with good material on probability and also for Sequence and Series (other than AP , GP) ??
Please post

If anyone having Softcopy of "Quantum CAT",Please mail me if possible.

My E-mail Address: parthshah2111@gmail.com
It will be a great favour.
Thanks In Advance.
Regards,
Parth

How many numbers of the form a1a2a3a4a5a6 exist where each ak denotes a distinct digit from{1,2,3,4,5,6} and k-digit number a1a2...ak is divisible by k for each value of k? 😃

To improve discipline in the college campus, the chairman of the university decided to make a committee consisting of 3 members. For this purpose he called 7 people - Mr. Avneesh Singh, Mr. Brijkishore Shrivastav, Mr. Chandra Prakash, Mr. David Yohan, Mrs. Aditi Pradhan, Mr. Ravi Natrajan and Mrs. Rukmini Bajpayee. In making the selection he must follow the following conditions.

Either Mr. Brijkishore or Mr. David will be on the committee.

Mr. Chandra Prakash or Mr. David will be on the committee.

Mr. Chandra Prakash or Mrs. Aditi will be on the committee.

Neither Mr. Avneesh nor Mr. Chandra Prakash will be on this committee. How many different committees could be formed?

A)4

B)6

C)2

D)12

@amritpaul

To improve discipline in the college campus, the chairman of the university decided to make a committee consisting of 3 members. For this purpose he called 7 people - Mr. Avneesh Singh, Mr. Brijkishore Shrivastav, Mr. Chandra Prakash, Mr. David Yohan, Mrs. Aditi Pradhan, Mr. Ravi Natrajan and Mrs. Rukmini Bajpayee. In making the selection he must follow the following conditions.





Either Mr. Brijkishore or Mr. David will be on the committee.



Mr. Chandra Prakash or Mr. David will be on the committee.



Mr. Chandra Prakash or Mrs. Aditi will be on the committee.



Neither Mr. Avneesh nor Mr. Chandra Prakash will be on this committee. How many different committees could be formed?



A)4



B)6



C)2



D)12



Ans- 6(B)

If log xy = log x – log y, then

x = y

x = 1

y = 1

xy = 1

y = 2

pl share your approach thanks

x and y are positive integers. If x > y, then which of the following is the greatest?

logy to the base xy

logy xy to the base y

logx xy to the base x

logx to the base xy

logx to the base y

1)In how many ways can a group of 15 persons be arranged around two circular tables consisting of 7 and 8 chairs?
ans: 15!6!7!/7!8!
2)what if 8 people have to be arranged around two circular tables with 4 chairs each?
ans:4*7!

can anyone plz explain by applying same concept to both questions?thanking in anticipation!!

Amar multiplied the factorials of the first 12 natural numbers and gave the product to akbar, who divided this product by 10^11 and gave the quotient obtained to Anthony. If Anthony divides number given to him by 10. What is the remainder that will be left?


plz give the approach even I donno the answer

plz help me understand this very tough problem

. I have 20 rupees. I bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamp(s) I have??

answer is 10...i want the method



An Engine length 1000 m moving at 10 m/s. A bird is flying from engine to end with x kmph and coming back at 2x. Take total time of bird traveling as 187.5 s. Find x and 2x.

A road from A to B is 11.5 km long, first goes uphill, then crosses a plain, and then goes downhill. A person walking from A to B covered this road in 2 hr 54 min , and the return journey took him 3 hr 6min. His speed uphill is 3 km/hr, on the plain is 4 km.hr, and downhill is 5 km.hr. What is the length of the plain part of the journey?

a.4km b.6km c4.5km d.None of these

All persons know either swimming or rowing. There are 14 persons who know only swimming and 14 persons who know only rowing. 8 tickets sold for rowing. How many people are there for swimming?


A, B, C, D went to a hotel and planned to share the bill equally. But afterwards they changed their plan and to pay proportional to consumption A paid 240, B & C paid equally, D paid only half the amount that he should have paid based on the first plan. What is the amount paid by B


How many ways can you equally divide a pack of cards between 4 people sitting in a circle?