Official Quant thread for CAT 2013

Rahim has Rs. 4,096 with him and he places bets 6 times. Each time he places a bet, he stakes one-fourth of the total money that he has at the time of placing the bet. If he wins the bet, he gets back the sum of money he had staked and wins a sum equal to the money he had staked and if he loses the bet, he loses the sum of money he had bet. If the probability of winning a bet is 0.5 and it is known that Rahim wins 3 bets and loses 3 of them, find the money left with Rahim at the end of all the bets.

There are three equal containers that are completely filled with different water-alcohol mixtures with water and alcohol in the ratio 2 : 3, 3 : 4 and 4 : 5 respectively. They are emptied into a bigger container. What fraction of the mixture in the bigger container should be replaced by water so that the

resulting mixture has equal quantities of water and alcohol?


(a) 43/945 (b) 143/945 (c) 43/544 (d) 143/1088

A obtuse angled triangle has sides as 8,15, x . Find the number of obtuse triangles that can be formed??

Puys, How to check the symeetry of any function abt the Origin ?



Hi! Any of you taking the CAT tomorrow first slot?


@ankurkhanna14 iska batao?? symmetrical abt origin hai ya nahi

ABCD and CDEF are trapeziums. The lines AB, CD and EF are parallel and measure 1.2 m, 2.7 m, 7.2 m respectively. If ED = 3 m and the points B, C and F are collinear and A, D and E are also collinear, find the length of AD (in m)


A task was given to a manager who had 14 members in his team. At any moment of time exactly 10 members worked simultaneously on the task. Since, the manager had to be fair in his work allocation, he allocated the task among the workers in such a way that each member worked on the task for exactly 't' minutes. If the task was completed in 210 minutes, then find the value of 't'. (Assume the efficiency of each of the members of the team is the same)

a)15 b)150 c)21 d)210

plz explain.....................

In how many ways can 68068 be written as the difference of two squares?

All the best CAT takers for tomorrow !!

Q) f(x) x+1 and g(x) x2 -2.
Find (gof)' ([-2,-1]).

a) (0,-2)

b) [0,-1]

c) [-2, 0]

d) none of these

p.s: It is (gof)inverse
[-2,-1])


@ankurkhanna14
isme kahan change karun ?

An equilateral triangle is inscribed in a circle of radius 7 cm. The largest possible square is inscribed in the equilateral triangle. Then a circle is inscribed in the square, an equilateral triangle is inscribed in the circle and a square is then inscribed in the triangle. What is the ratio of the sum of the perimeters of both the triangles to the sum of the perimeters of both the squares?

A)(3rt(3)+6)/6

B) (3+2rt(3))/4

C) 2/3(2+rt(3))

D)8+16/3(rt(3)+2)

How many different sums can be formed with the following coins.

5 rupee, 1 rupee, 50 paisa, 25 paisa, 10 paisa, 3 paisa, 2 paisa and 1 paisa.

Area formed by [x] + y = 1 in first quadrant
a) 1
b) 2
c) Infinity
d) NOT


@ankurkhanna14

@sagarcat @happy3475 Check out the figure.. Its given tower is 30 degrees away from the vertical... after that Man is in the direction of Lean... I hope this clears your doubts...



Am I confusing vertical with horizontal...'coz my figure is...

81^82/17 remainder...😠 by eulers theorem

in hw many ways cn 3 couples sit arnd a circular table sch dt no pair of wife n huband is opposite each odr?


64
60
100
96

While Ordering these four numbers from least to greatest: 5^36; 10^51; 17^35; 31^17. Which is the 3rd number?

Approach plz...


p is a prime number and m is a positive integer. how many solutions exist for the equation p^6-p=(m^2+m+6)(p-1)???? plzzz explain????