Official Quant thread for CAT 2013

If 4 examiners can examine a certain number of answer books in 8 days by working 5 hours a day, for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 20 days??? (Solution with explanation)

A and B are two alloys of argentum and brass prepaired by mixing metals in proportions 7:2 and 7:11 respectively. If equal quantities of the two alloys are melted to form a thought a 3rd alloy C, the proportion of argentum and brass in C will be???


(Solution with explanation)


The income of A and B are in the ratio 3:2 and the expenditures are in the ratio 5:3. If each saves Rs1000, then, A's income can be???

  • 4000
  • 6000
  • 9000
  • 3000

0 voters

Divide Rs 680 among A,B, & C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. Now the share of C is???

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@jashholmes

Divide Rs500 among A,B,C,D so that A and B together get thrice as much as C and D together, B gets 4 times of what C gets and C gets 1.5 times as much as D. Now the value of what B gets is??? (Solvation with explanation)



@td_bouncer 3(A PLUS B)=C PLUS D

@oldkool

1) 11 : 7



2) 9 : 5



3) 11 : 5



4) 13 : 7 Skip



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how can it be possible that two start simultaneously from the same point in the same direction and meet for the first time when one of them has completed 2 rounds and is in his third round?

Q3

QuantExpert - Q.O.D


Two altitudes of a triangle are of 12 and 20 units respectively. Find the sum of all possible integral lengths of the third altitude.

@chillfactor

How many points with integer co-ordinates lie inside the triangle whose vertices are (0, 2), (–5, –3) and (5, –3)?.


Sir, Is there a way to solve this question without drawing the Coordinate axes (meaning plotting all points and manually counting the number of points?

3 out of 10 lamps defective. A buys 4 lamps. what is the probability that atleast 2 are defect free?

Find all values of b so that the equation |x + 1| - |x - 4| = b has a solution in x.

find the proability that a random arrangement of all letters of the word PARAGRAPH starts and ends with A.

In a rectangle ABCD point P,Q,R,S divide the sides AB, CB , CD, and AD in the ratio 2:3. Find ratio of area of quadrilateral PQRS to the area of rectangle.

Find all values of b so that the equation |x + 1| - |x - 4| = b has infinite solutions.

Question has been attached


The number of boundary points have also been attached as asked by @jaffa
Bro,Kindly pardon the quality of the figure. I am very bad at Paint 😃 😃

40% of all customer entering do purchase.Determine probability that exactly 2 of next 3 customer will make a purchase?

The chance of Ind winning a cricket match against Aus is 1/6. What is the minimum number of matches india should play against Aus that there is a fair chance of winning atleast one match?

in parallelogram ABCD, the bisector of angle ABC intersects Ad at point p. if length PD=5, BP=6 and CP=6, find the length of AB.

Q5

QuantExpert - Q.O.D


Three articles priced at x, y and z were sold at profits of 10%, 15% and 20% respectively. If the overall profit was 14%, which of the following is necessarily false?

z>x
z>y
x=y
x>y