Official Quant thread for CAT 2013

A person borrowed a sum of rs. 6000 at 10 % p.a. interest compounded annually. If the loan is to be paid in three equal installments , each payable at the end of the year. then what is the value of each installment.

2316
2314
2413 OA
2662

1010101.............................. 94 digits when divided by 375 leaves a remainder of

119
150
260 OA
350

Two points P and Q are diametrically opposite points on a circular road 15 km long, sir ravindra jadeja started running around the circle starting from point P. Lord sir ravindra jadega can run first round with a certain uniform speed and then decreased his speed by 5 kmph. The interval between his two passages through the point Q is 2 hrs. and 15 min.. Find the speed with which the sir ravindra jadeja made the second round.

8
10
12
14

A number when divided by 36 leaves remainder 23, what is the remainder when same number is divided by 72?

If the roots of the equation x3 -ax2 +bx - c = 0 are three consecutive integers, then what is the smallest possible value of b?


ans is -1...... how??????

@gauravkr2288

n is a number such that 2n has 28 factors and 3n has 30 factors, 6n has..??



1) 35



2) 32



3) 28



4) none of these Skip




yaar jisne bhi kia..plz tell..hw to do..?


remainder when 128^1000 is divided by 153 ??



plz tell hw to do...?

n is a number such that 2n has 28 factors and 3n has 30 factors, 6n has how many factors..??



Plzz tell how to do???


Sm = sum of sqares of first m natural nos.....


for hw many values of m

plzz giv detailed soln

5 men went fishing and returned with a total of 12 fish.In how many ways could they have caught these fish,given that no man caught more than 7 fish.

98/5+71/3-121/5
is there any short trick to solve this whitout much calculation

Q.How many natural numbers below 100 can be expresses as a difference of squares of two whole numbers in (a) at least one way (options: 50,74,75 & 99)
(b) exactly one way (25,26,34,35)

can anyone explain me this ! I am quite weak at this..






A, B and C are employed to do a work for Rs. 5750. A and B together finish 19/23 of work and B and C together finish 8/23 of work. What is the difference between share of A and B?

Two guns are fired from the same place at an interval of 6 minutes. A person approaching the place observes that 5 minutes 52 seconds has elapsed between the hearing of the sound of the two guns. If the velocity of the sound is 330 m/sec, the man was approaching that place at what speed (in km/hr)?A. 24 B. 27 C. 30 D. 36

A takes 4 and B takes 9 more days than the time taken by A & B together to finish a particular work. In what time A & B will finish the work together?
A. 9 days
B. 6 days
C. 3 days
D. None of these

There are 3 persons A, B and C having some cows. At the beginning of the month, A lends some cows to B and C as many as they had. After a month B lends as many cows to A and B as many as they have. After a month C does the same thing. At the end of this transaction each one of them has 24 cows.Find the number of cows each has at the beginning.

For single digit positive integers K, L, M, N it is given that 5K3L - M4N1 = 4451. Find K + L + M + N.
A. 20

B. 19
C. 16
D. 13

Second-last non-zero digit of 2^23 * 5^32.
A. 5
B. 0
C. 2
D. 1

what is the last digit in the no 3^2^x+3^4x-3 where x in an integer greater than 2