Official Quant thread for CAT 2013

Q. a motorboat went downstream for 28 km and immediately returned. it took the boat twice as long to make the return trip. if the speed of the river flow were twice as high, the trip downward and back would take 672 minutes. find the speed of the boat instill water and also speed of river flow

a. 9k/h 3k/h
b. 9,6
c. 8,2
d. 12,3

Q2

QuantExpert - Q.O.D


In how many ways can the number 105 be written as sum of two or more consecutive integers ?

In triangle ABC, AB = 13, BC = 15 and CA = 14. Point D is on BC with CD = 6. Point E is on BC such that ∠BAE = ∠CAD. Given that BE = p/q where p and q are relatively prime positive integers, find q.
338
469
463
336

ABCD is a parallelogram with ∠ABC=60°. If the longer diagonal is of length 7 cm and the area of the parallelogram ABCD is 15(_/3/2) sq cm. then the perimeter of the parallelogram (in cm) is -

15
15root3
16
16root3

In how many zeroes does the number 2002!/(1001!)^2 end?

(1) 0

(2) 1

(3) 2

(4) 200


i dnt know the ans ...mine is coming zero ...@pratskool @ravi.theja

The number of ways in which the letters of the word “PROGRESSION” can be arranged such that the letter R is always after (not necessarily immediately after) the letter N in the word, is

(1) 10!/8

(2) 10!/2!(8)

(3) 11!/24

(4) 9!/(2!)(2!)


@ishu1991

ABCD is a parallelogram with ∠ABC=60°. If the longer diagonal is of length 7 cm and the area of the parallelogram ABCD is 15(_/3/2) sq cm. then the perimeter of the parallelogram (in cm) is -1515root31616root3



@ishu1991

ABCD is a parallelogram with ∠ABC=60°. If the longer diagonal is of length 7 cm and the area of the parallelogram ABCD is 15(_/3/2) sq cm. then the perimeter of the parallelogram (in cm) is -1515root31616root3



- In triangle ABC,angle B=90,AB = 80,BC = 60. Point D is on AC. Perimeter of ABD = BCD.Length of BD=?


Three guys rent a hotel room for the night. when they get to the hotel they pay the $30 fee, then go up to their room. soon the bellhop brings up there bags and gives the lawyers back $5 bcoz the hotel was having a special discount that weekend. so the three lawyers decide to each keep one of the $5 and to give the bellhop a $2 tip. however when they sat down to tally up their expenses for the weekend they made the following calculation-

each one of them had originally paid $10(towards the initial $30), then each got back$1 which meant that they each paid $9. then they gave the bellhop a $2 tip. however, 3*$9 + $2= $29.

the guys couldn't figure out what happened to the one dollar. after all, the three paid out $30 but could only account for $29.
can u determine what happened?😃

CAT 1999 :

For a scholarship, at the most n candidates out of 2n + 1 can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is ?


Hi puys,

here are a few questions mainly from quad eqns. Will appreciate some possible approaches to their solns:

1.If both roots of the quad eqn ax^2+bx+c=0 lie in the interval (0,3), then "a" lies in ________.

2. Value of the expresssion (x^2+x+1)/(x-1) cannot lie between:
a. 1,3
b.-1,-3
c.1,-3
d.-1,2
e.-1,3

3. For what values of "p" would the eqn [x^2]+[2(p-1)]x+[p+5]=0 posses atleast one positive root?
a.(-infinity,-5)
b.(-infinity,-1)
c.(1,infinity)
d.(-5,1)

A triangle ABC is right angle at C. The medians to the sides AC and CB intersect at F. Find the ratio of the area of triangle AFB to that of quadrilateral CDFE.

@mehulpahuja1

A triangle ABC is right angle at C. The medians to the sides AC and CB intersect at F. Find the ratio of the area of triangle AFB to that of quadrilateral CDFE.



@mehulpahuja1 solution in the attachment.

@heylady

@mehulpahuja1 solution in the attachment.



Q5

QuantExpert - Q.O.D


Number of positive integral solutions of the equation: (1/x)+(1/y)=(1/N!)

AC = diameter of a circle.

B and D are points on the circumference such that

Given hat the perimeter of quadrilateral ABCD = 20 ,find the radius of the circle

If (y+z-x)/x , (x+z-y)/y and (x+y-z)/z are in arithmetic progression (A.P.) , then which of the following are in the A.P.?