A flask contains 1 litre of alcohol. A drunkard drinks 20% of it and replaces it with the same amount of water. He again drinks 20% of the contents and replaces it with an equal amount of water. After doing this for a total of 10 times, he drinks all the contents of the flask. Find the ratio of water and alcohol that he drank
1) 2:1
2) 3:1
3) 10:1
4) None of these
1. on a segment of length L, two points are selected, what is the probability that the three parts formed can form a triangle?
2.two points A and B- are selected at random on a segmen of length 2 cm. The probability that AB>1 is? 1/2, 1/3, 1/4 , none of these
The rates at which Alok and Bhaskar work are in the ratio 5 : 4. They work on alternate days to complete a job. Bhaskar started the job and he worked on the last day. The job was completed in 1 day more than the time that Alok alone would take to complete it. Find the time taken (in days) by them working together to complete the job.
@giyan @scrabbler @placiddisciple
@iim-maniac
Let side of square is 2x
AB=2x => BM = x
angle(OBM) = 45 => OM = BM = x
now OP = PQ = side of hexagon (all sides make equilateral triangle with centre)
OP = 2
PM = OP - OM = 2-x
in triangle PBM
angle(PBM) = 30 as angle APB = 120 and AP = PB
tan30 = 1/sqrt(3) = (2-x)/x
find x
thoda vella hun office me :D
ABC is a right triangle with angle B=90. BD is perpendicular to AC.
x= AB + BC, y= BD+AC
A) x > y
B) x C) x>= y
D) x
Please share your solution with the answer.
In this question to answer ,we have to calculate the total cost at V=6000 units..
How to cal that without approximating directly from graph?
PFA
In soln they have done something like this
total cost=500+(2/3)*(600-100) +100 ?? how this arrived to
How many sets of two numbers will have the lcm as p1^a * p2^b , where p1 and p2 are prime numbers and a and b are natural numbers.
Can anybody help me understand this. Approach please.
@sagarcat @Shubh.i @jasneetdua
The degree of each term of a polynomial P(x) is odd. When P(x) is divided by (x – 3), the remainder is 6. What is the remainder when P(x) is divided by (x^2 – 9)?
Any idea on difficulty of todays CAT paper? ...suggestion for good atempt? from the people who wrote the test..
Crap i forgot to apply to MDI:S
please explain !!
Two altitudes of a triangle are 2 cm and 3 cm.
Which of the following cannot be length of the third altitude?
A. 1.1 cm
B. 2.2 cm
C. 3.3 cm
D. 4.4 cm
pls explain with logic 😃
is there any foolproof shortcut to find out the number of terms in an expansion?
e.g
(1+2x+3x^2)^6
and(1+x^3 + x^5)^3
@sagarcat @placiddisciple @jasneetdua
A man covers a certain distance on scooter. Had he moved 3kmph faster, he would have taken 40 minutes less. If he had moved 2kmph slower, he would have taken 40 minutes more.The distance in (km) is:
- 37.5
- 40
- 20
- 36
0 voters
how many isosceles triangle can be formed from {1,2,3,....100} ??
A rhombus ABCD is drawn in which the diagonals are 12 and 20 units long. A circle is inscribed in the quadrilateral with the centre of the circle right on the intersection point of the 2 diagonals. The circumference of the circle touches all 4 sides of the rhombus.
find the radius of the inscribed circle?
In a Knockout tournament 51 teams are participated, every team thrown out of the tournament if they lost twice. How many minimum matches to be held to choose the winner?
The sum of the series 3/2+5/4 9/8+17/16+..... upto 99 terms is
a. 100 -1 /2^99b. 101 -1 /2^99
c.100 +1 /2^99
d.100+1/2^100