Official Quant thread for CAT 2013

If 6n1 * 7n2 = 33n2 where n1 and n2 are bases such that n1:thumbsup:

Solution to this please:
Question:
If (bx-ay)/b = (cy-bz)/c = (az-cx)/a and given that bx != ay, cy != bz and az != cx, then which of the following is true?

Options: a+b=c / a+b+c=0 / ab+bc+ca=0 / ab+bc-ca=0


From point A(3,2) , line l is drawn perpendicular to line 3x-2y=0.If line l intersects line x+y=4 at point(a,b) what is the value of a^3-b^3?👍

can anyone tell me the formula for the number of integral points in a triangle whose equations of the lines are given ? @Aizen i remember u sharing the formula... please help...

X= 1/90*46 + 1/89*47 + .....+ 1/46*90
Y= 1-1/2+1/3....-1/90 then X:Y?
3:68 1:34 1:68 1:16👍

The areas of similar triangles ABC and XYZ are 54 and 150 find perimeter of trianglee XYZ if perimeter of triangle ABC is 36?


is it true that length of a rectangle is always greater than breadth

last two digits of 78^379?

@giyan

Another question:-



I have added the attachment

Karan and his dog started to walk. Dog raced to the end of the road and immediately returned to Karan, again raced to the end of the road and again returned. Dog did this 4 times in all at uniform speed and then ran at my side the remaining distance, which according to my paces measured 81 meters. Karan afterwards measured the distance from the door to the end of the road and found it to be 625meters. Karan's speed is 4km/hour.

what is the speed of the dog?
Distance travelled by the dog till the time of the 1st reunion with Karan is ?

The North-South Express is a pair of trans between Jammu and Chennai. A train leaves Jammu for Chennai exactly at 12 noon everyday of the week. Similarly, there's a train that leaves Chennai bound for Jammu on everyday of the week exactly at 12 noon. The time required by a train to cover the distance between Chennai and Jammu is exactly 7 days and 1 minute. Find the number of trains from Chennai to Jammu which a train from Jammu to Chennai would cross in completing its journey, assuming all the trains are on time.

Q what is the remainder when 6^790 is divided by 29?


a. 24 b.5 c.1 d.28

Angle between hour hand and minute hand is 11/2 deg/min. The time is an integral number n of minutes afternoon (0

Can anyone tell me where can I find CAT previous years papers??

Q3

QuantExpert - Q.O.D

A and B ran a race of 480 m. In the first heat, A gives B a head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a head start of 144 m and is beaten by 1/30th of a minute. What is B's speed in m/s?

(a) 12 (b) 14 (c) 16 (d) 18


'a' and 'b' are lengths of two sides of triangle and the angle included between the two sides id 60.If the length of the bisector between the two sides is 2,then the harmonic mean of 'a' and 'b' is

(a)5(3)1^3 (b)4/(3)1^3 (c)3 (d)(3)1^3



What are the last two digits of 45^1235 ?

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If k is a natural number such that 1≤ k ≤ 78, for how many values of k is the tens digit of 31k equal to 6?


ans with solution please !!! from Proc-mock 2

Let f(x) = - x2 + 35, g(x) = |x + 5| + |x - 5| and h(x) = min {f(x), g(x)}. What is the number of integer values of x for which h(x) is equal to 10?

plzz explain dis sum without using the concept of graphs.

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