Official Quant thread for CAT 2013

If 1/x + 1/y + 1/z = 1 where x, y and z are natural numbers. How many possible sets of (x, y, z) exists ?

Part II: If x, y, z are distinct natural numbers. ?


P.S. Self made question. :mg:

A 3 digit no has its hundreds,tens and unit digits in ascending order and in geometric progression with the common ratio being an integer.If the middle digit is increased by 1 then the hundreds,tens and unit digits will be in AP . What is the sum of the digits of the no👍

What equal annual installment will discharge a debt of Rs. 2070 due in 5 years at 10% interest (The first installment is paid at the end of the first year)?

Please explain step by step....This is confusing.

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6 white and 6 black balls of the same size are distributed among 10 urns so that there is at least one ball in each urn. what is the no. of different distributions of the balls possible?

For the series 1, 4, 10, 20, 35,......... find the n for which Tn is 680?

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From mock 4

QuantExpert - TestCentre

From five natural numbers, we select every possible combination of three numbers and sum them up. The sums found are 19,25,27,21,23,30,24,23,26,28. What is the median of these five numbers?

(a) 6 (b) 8 (c) 10 (d) None of these

There are five vessels, with equal capacities, each containing some milk. the quantities of milk in the five vessels are in the ratio 4:5:6:7:8; such that the total quantity of milk in the five vessels is equal to 75% of the total capacities of the five vessels. how many of the vessels are at least 64% full of milk???? please tell

Spice airline has a free luggage allowance of f kg. if any passenger carries excess luggage , it is charged at a constant rate per kg. The total luggage charge paid by two passengers , mohan and sohan is 1050rs. if each of mohan and sohan had carried twice the luggage he actually did, their luggage charges would have been 2400rs and 900rs respectively. find mohan's luggage charge????

Find the area of triangle whose three altitudes have lengths 10, 12 and 15 units.



A. 60 square units B. 240/√7 square units C. 120/7 square units D. data insufficient

Q.> 5 identical coins are tossed. What is the probability that exactly 3 heads occur?(Note : Here the main problem bugging me is the "identical" coins)..I don't have the OA..So, please give the answer along with the Reasoning..

Let f(x) be a function such that f(x).f(y) - f(xy) = 3(x+y+2). Then f(4) (equals)


(1) can not be determined (2) 7 (3) -8 4) either 7 or -8 (5) none of these

@ravi6389

Q.> 5 identical coins are tossed. What is the probability that exactly 3 heads occur?(Note : Here the main problem bugging me is the "identical" coins)..I don't have the OA..So, please give the answer along with the Reasoning..





×

5/2^4

no . of events = 2^5, no of fav events= 5C3
hence, 10/2^5=5/2^4



@ravi6389

Q.> 5 identical coins are tossed. What is the probability that exactly 3 heads occur?(Note : Here the main problem bugging me is the "identical" coins)..I don't have the OA..So, please give the answer along with the Reasoning..





×

Identical => coins of the same type [ this isn't a issue ] 5c3*(1/2)^5 = 5/16

guys, pls help me out with this ques

q. What is remainder when 1! + 2 X 2!+ 3 X 3!+ 4 X 4! + 5X 5! + 6X6! +......+ 12X12! is divided by 13?
a)1 b)12 c)11 d)0

pls explain the answer. thanks 👍👍

A seller defrauds to 10% while buying as well as selling goods . find his gain percentage? 21% or
22 2/9 % ?

q. what is the highest possible value of n for which 3^1024 - 1 is divisible by 2^n?

A.13 B.10 C.11 D.12

pls explain the answer. thanks


Let 123abc231bca312cab be a 18 digit number in base 7. How many ordered pairs (a,b,c) exist such that the given 18 digit number is divisible by 4?

If N = (a^m)*(b^n)Where a,b,m and n are single digit natural numbers.Then how many different "N" are possibles such that total number of factors of "N" is divisible by 7.


Vijay and his girl friend started from a point on a river and began to row upstream.After rowing for 2 hours,vijay paused.He wanted to hand over a flower to his girl friend but it slipped from his hand into the river and started flowing downstream.They rowed upstream for two more hours and then turned back.They caught up with the flower,at a point 6 km downstream of the point where it fell into the river.Find the speed of the stream (in km/hr) of the stream


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  • can't be determined

0 voters

Q3

QuantExpert - Q.O.D

A,B and C are the points of intersection of the tangents drawn to 3 identical circles touching each other which have centers at P,Q and R respectively. The circumcircle of triangle ABC is the incircle of

triangle XYZ. Find the ratio of the perimeter of

triangle ABC to that of triangle XYZ?

(a) 1:2 (b) 1:3 (c) 2:3 (d) 3:4