Official Quant thread for CAT 2013

Distribute UPTO 20 elements among 9 people. Need logic plz




help @Tusharrr @chillfactor Suppose f(x) is a polynomial with integer coefficients of degree 100. Find the biggest possible number of pairs of integers n

non negative solutions for x+y+z=12, such that none of x,y,z exceeds 5

Number of whole number solutions for 2x+3y+5z = 100 is ?

how many pairs of positive integers M,N satisfy 1/M + 4/N = 1/12, where n= odd integer less than 60?



plzz help me with tis questn asap..?
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Two bombs were exploded at a place P with a time interval of 40 minutes. A person moving away from P heard the first explosion at a point A and second at a point B. If he heard the explosion at an interval of 41 minutes and speed of sound is 331 m/s. What is the distance between A and B?

A number is such that when divided by 4 ,5,6,7 it leaves remainderas 2,3,4,5 .what is the largest number below 4000 that satisfies this property....its an easy one ...but the answer given in the book is wrong is what i believe

A firm in bombay has to send 10 clerks to 5 different companies, 2 clerks in each . two of the companies are in Bombay and the others are outside. Two of the clerks prefer to work in Bombay while 3 others prefer to work outside .In how many ways can thsi be done ?

how many 4-digit nos. are there which contains not more than 2 different digits ?

Circles are drawn with four vertices as the centres and radius equal to the side of a square which is root(6). Find the area that is common to all the four circles. 1) [(root(3)-1)/2]6pi 2) 4pi- 3root(3) 3) 1/2(pi-3root(3)) 4) 4pi - 12(root(3)-1)
This ques has been discussed earlier but cudnt find a satisfactory explanation..😠

whts the min value of the expression LOG 5 (x square) - LOG X (0.04) x is positive number greater than 1

options :- -1 , -2 ,0 , 1 , 2

a number divided by certain divisor leaves a remainder 16 if twice the no. is divided by same divisor leaves remainder 9 find divisor?? easy one but frame the eqn plzz

Product of 3 numbers is 1620.If the H.C.F of any 2 numbers out of 3 numbers is 3.What is their LC.M?

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A B C had some marbles with them. A gave half the marbles to B and C in the ratio 1:3 and B gave half the marbles to A and C in the ratio 1:3 and C gave half the marbles to A and B in the ratio 1:3. now all have 64 marbles with them. what is the number to marbles with A and C initially?

N=1223334444....... IS A 100 digit number find remainder wen it is divided by 16???😠

i am quite weak in algebra.(functions,inequations specifically)and circular races in case of TSD.how to improve there?pls guide me. @Dazed-Confused @ravi.theja @hexagon

how many numbers are coprime to 2304 and lie between 1000 and 2000??

Two persons A and B started simultaneously towards each other from P and Q respectively. As soon as they reached the end points they turn back to their starting points. If they have met for the first time at a distance of 100 m from Q and for the second time at exactly the mid point of PQ, which of the following can be the distance between P and Q?


300

400

350

420

solution plz...

if 4 consecutive letters are selected at random from the english alphabet,then the probablity that one of letter is a vowel is???

Q: a^2-4a_1=0 then find a^4+1/a^4?