Official Quant thread for CAT 2013

A regular dodecagon is drawn on a piece of paper. In how many ways can 12 identical rs. can be placed on the five vertices of the pentagon if exactly one coin is to be placed on each vertex?

If -1 and 2 are the roots of the equation x^4-3x^3+2x^2+2x-4 = 0 , then find the other two roots.


@hiteshpratap @Dazed-Confused @hexagon @Dexian @placiddisciple

The equation |x-1| - |x-2| + |x-4| = m has n real solutions for some real m. Which of the following relations cannot be true ?


a) m=n
b) m/n = 3/5
c) m/n = 3/2
d) m+1 =n
e) m/n = 5/3

@Dazed-Confused @ralins @hiteshpratap @hexagon @Dexian

If a function f(m+n) is defined as f(m)+f(n) and f(5)=21 than what is the value of f(12)?


126
252
252/2
CBD

in a number system the product of 38 and 24 is 868.whats the result if a decimal 438 is converted to this number system

  • 603
  • 620
  • 360
  • 306

0 voters

Happy Janmashtmi puys!πŸ‘

100^x (log 4 base x - log root2 base x )..Find Min and max values. a. 0,infinity b. -infinity, infinity c. infinity,-infinity d.none


N=(323232…….. 50 digits)9.ie in base 9. Find the remainder when N is divided by 8?

1

–1

0

3

none of these

Answer


Option :(d)

In base 9, divisibility check for 8 is sum of the digits(digit sum) = Digit sum of N = (25*3 + 25 *2)9 =

First convert the numbers to base 10

25 in base 10 = 23, Thus the question changes to (23*3 +23*2)10 = 11510

Converting it back to base 9 = 137, Now sum of digits in base 9 = 1+3 +7 = (4+ 7)9 = 12 β‡’ =3



I'm not able to understand this. Is there any other easier explanation for this.

Two persons X and Y start simultaneously from A and B and walk towards each other. They meet after 1/2 hour and continue to walk towards their destination. If X reaches 25 minutes after Y reached the destination, find the ratio of their speeds.

distance between A and B is 27 km.P is at A.. Q is at B they move in opposite direction..speed of P is 5kmph speed of Q speed is 7kmph they move to and fro between A and B..After how many hours from start do they meet for the second time at the mid way between AB??

A swimmer jumps from a bridge over a canal and swims 1 km upstream. After that first kilometer, he passes a floating cork. He continues swimming for another half an hour and then turns around and swims back to the bridge. The swimmer and the cork arrive at the bridge at the same time. The swimmer has been swimming with constant speed. How fast does the water in the canal flow???

a 0.5 km/hr

b 2 km/hr

c 3.5 km/hr

d 4 km/hr

e 1 km/hr

Y is an integer other than 0,-1. Then for what value(s) of Y is Y*(3Y-1) is a perfect square?

[don't know the answer]



hi guys can you explain this problem...how to tackle these type of problem😠

Hi guys ! Which site is better for sectional tests ?? Please suggest. I want to improve on my quant score. @AshuIIMA @ralins @jasneetdua ....??

On a circular track of length 18136 metres, two motorcyclists A and B start simultaneously from a point O in opposite directions. Every time they meet, A increases his speed by 1 m/s and B decreases his speed by 1 m/s. They stop when B's speed goes below 2 m/s. If they meet for the tenth time at 3:36 p.m. and for the 31st time at 5:00 p.m., at what time will they meet for the 23rd time?


Don't have the OA. Plz tell the approach
  • Cannot be determined
  • 4:28 pm
  • 4:24 pm
  • 4:36 pm

0 voters

three men n 5 women togthr cn finish a wrk in 3 days. workin on same job 3 women tak 5 days more than tym reqd by 2 men.wts th ratio of efficiency of ma n to women? plz solve


2:1
3:2
5:2
4:1

@abhar7

How many trailing zeros are there in (100!+105!+100!)^(1f(1)+2f(2)+3f(3)+4f(4)+5f(5)) where (f(x)=x*f(x-1) and f(0)=1)



1) 2956



2) 2856



3) 3056



4) 2975 Skip



β€”

it should be 24*(5*120+4*24+3*6+2*2+1*1)=24*719=17256


@xitizsharma

There are three cities: A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?



a 6



b 3



c 5



d 10



e 12



6

a circle circumscribes an equilateral triangle and is inscribed in another equilateral triangle.find the ration of the area of the bigger triangle to the smaller triangle.

a)4:1

b)2:1

c)3;1

d)9:1

pls come up with your approach!

Neha has 12 chocolates . 4 similar kitkats , 5 similar Perks, 3 similar Milky Bars which she wants to distribute among her friends. In how many ways can Neha give away one or more chocolates?

I have the solution with me but I want to know why the answer is not 4*5*3=60 .
instead the answer is (5)(6)(4)-1 =119

I want to know why .😠

@psk.becks @Papasappies @scrabbler @chillfactor please take a look.