Official Quant thread for CAT 2013

A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:


Ans. Let the speed of the stream be x mph.

Downstream spped = 10 + x

upstream = 10 - x


36/10-x - 36/10+x = 90/60

How the hell is this above step formed???

f ( x / (x-1) ) = 1/x where x β‰  0,1 What is the value of f (-1/9)? (a) -8 (b) 10 (c) 0 (d) 10/9 -

If 31x+29y+30z=366 where x,y, and z are positive integers.

Find x+y+z

What are all ordered triples of real numbers (x,y,z) which satisfy:

(x+y)(x+y+z)=120

(y+z)(x+y+z)=96

(x+z)(x+y+z)=72

How many five digit numbers that have a nine and a six as the first and third digit are not divisible by 3?

Coin A is flipped three times and coin B is flipped four times. What is the probability that the number of heads obtained from flipping the two fair coins is the same?

The unit digit in the product of (8267)^153 Γ— (341)^72 is

A. 1

B. 2

C. 7

D. 9

if the ratio of the sum of the first 3 terms to that of the next 3 terms of an increasing Geometric Progression is 1:8 then what is the common ratio of the progression?


a. 3

b. 1/3

c. 2

d. 9

A committee of 6 persons is to be formed out of 10 men and 7 women such that it has at least 3 men and at least 2 women. if two particular women refuse to be together in the committee, then in how many ways can the committee be formed?

a. 7590
b. 7800
c. 8610
d. none of the above


no of terms in the expansion of a+b+c^12?

what is the formula for distance between two lines in the form y=mx+c.??

Ques -
some pens are books ,
some books are copy ,
some copies are pencil .
Conclusin -1) all copies being pen is a possiblity. .
2)some books not being copy is a possibility .

Which conclusion is correct
Thanks/-

In the expansion of [2x^2 + (1/(3x))]^9 , the ratio of the co-efficient of the fourth term and that of the fifth term is....???

A. 1:4
B. 4:1
C. 4:3
D. 3:4


OA nahi pata.
koi iska approach bata do bhai.

SOURCE: TIME IIFT handout

Seven letters are to be placed in seven addressed envelopes.if the letters are placed at random into the envelopes,the probability that
a)Exactly three letters are placed into corresponding envelopes is ________ ????
b)None of the letters are placed into the corresponding envelopes is ________????

I don't know how to tackle with coding-dcoding question in snap pls help😠😠😟😟😟😟😟

Seven trees – T1, T2, T3, T4, T5, T6 and T7 – are planted in a park which is in the shape of a quadrilateral.

T1, T2, T3 and T4 are at the four corners of the park in an anticlockwise direction. T5 is at the point of

intersection of the diagonals of the park and is also equidistance from T2 and T4. T6 is on the diagonal T1T3

such that T5 is equidistance from T1and T6. T7 is on one of the sides of the park such that T4, T6 and T7 are

collinear and the ratio of the distances between T2 and T4 to T3 and T4 is same as that of T2 and T7 to T3 and

T7. If the distance between T1 and T2 is 72 m and T4T5 : T4T3 = 3 : 4, then find the distance between T4 and T7.

Three business partners Aka, Bhika and Chika traveled from city A to cities P, Q and R respectively to

attend business meetings. They took 5 hours, 3 hours and 6 hours respectively for their travels. After their

meetings, they decided to meet in city Z. They took 9 hours, 6 hours and 1 hour respectively to reach city

Z from their respective cities. If AP + AQ + AR = 200 km and PZ + QZ + RZ = 310 km, and the usual

speeds of all the partners are integers, then find the speed (in km/hr) of Bhika.

Rohan and Vikas decide to play a game which involves flipping of a coin. In a round, Rohan gives 5 to

Vikas if the coin shows tail whereas Vikas gives 2 to Rohan if the coin shows head. They start the game

with a biased coin in which head is likely to occur 50% more times than tail If initially, each of the two has

50, then what is the probability that at the end of 10th round Vikas would have at least 80 rupees in all?

plz explain

mgmgplz solve and explain