In how many ways we can arrange 20 people on a regular decagon such that people
are sitting on the vertex and middle of the sides
a. 19! b. 19!/2 c.2*19! d. None of these
Mike the mechanic has a machine which has four cog wheels, each being meshed with one another wheel. The largest wheel has 242 teeth and the others have 66, 48 and 26, respectively. How many rotations must the largest wheel make before each of the other three smaller wheels is back to it's starting position
- 104
- 312/13
- 312
- 312/11
0 voters
Consider a triangle drawn on the XY plane with its three vertices at (41,0),(0,41) and (0,0),each vertex being represented by its (X,Y) coordinates.The number of points with integer coordinates inside the triangle excluding all the points on the boundary is
1.780 2.800 3.820 4.741
Mom demanded you to purchase 10 fruits of exactly 3 different types. Then how
many different ways you can full fill her demand from a fruit market where you
found 12 different types of fruits enough to full fill demand of a village.
a. Infinite b. 12c3 c. 12c3*12c2 d. 12c3*9c2 e. NoT
A man, starting from a point P, takes exactly six equal steps. Each step is in one of the four directions – East, West, North and South. What is the total number of ways in which the man ends up at point P after the six steps?
With methodology please.. Thanks!
10. There are 6 boyfriends and their 6 respective girlfriends. In how many different
ways they can date such that only two dates with their original couple and rest are
with different ones.
a. 130 b. 135 c. 140 d. 120 e. None of these
On giving 3 pencils free with every 5 pens bought, a shopkeeper makes a profit of 20% and on giving 6 pencils free with every 2 pens bought, he suffers a loss of 25%. Find the approximate profit percent made by the shopkeeper when he gives 4 pencils free with every 6 pens bought. (Assume that the pencils are identical and the same applies to the pens.)
a. 18%b. 20%c. 24%d. 16%
6. How many ways we can pick 4 non-adjacent balls from 20 different balls if they are
arranged in a circle.
a. 17c3 b. 16c3 c. 17c3 - 15c2 d. 16c3 - 14c2
e. None of these
There are six different books and for these six books a space has been earmarked in a bookshelf of a library. A student takes out these 6 books for reference. In how many ways can he replace the books on the shelf so that none of the six books is in its earmarked space?
(1) 6!
(2) 6^6
(3) 265
(4) none
Please explain the approach..
There are 130 men employed to finish a job in 180 days.They do 1/5th of the work in 50 days.Hw many more are needed to complete the work on time??
Options:
1.180
2.130
3.70
4.100
5.200
Find number of solutions of x+y+z+u=26 where x,y,z,u are positive integers and none of them is greater than 9?
A starts at a point P, on a circular track of length 10 km, at 6 am and runs at a speed 3u km/hr in the clockwise direction. B starts running at a speed of 2u km/hr from Q, the point diametrically opposite to P at 6:05 am, in the opposite direction. If u is less than 30, at how many distinct points do A and B meet on the track???????/😠
3
5
6
Cannot be determined
Two pipes - A and B - can fill a cistern in 20 minutes and 30 minutes respectively. A tap C can empty the cistern in 25 minutes. If A, B and C are opened in that order with a time gap of 2 minutes each, how long will it take for the cistern to be full?????
18 2/3minutes
20 12/13 minutes
16 12/13 minutes
None of these
A train overtakes a cyclist travelling in same direction in 20 seconds. After travelling for 20 minutes from the time it started overtaking the above cyclist, it starts crossing a second cyclist coming in the opposite direction and takes 18 seconds to complete the crossing. After how many seconds from the time the train crossed the second cyclist, do the two cyclists meet each other???
10,8000
10,962
10,782
Cannot be determined
The first 23 natural numbers are written in increasing order beside each other to form a single
number. What is the remainder when this number is divided by 18?
a)1
b)6
c)12
d)15
Hi, can someone please help me out with this question:
What is the coefficient of x^7 in the expansion of (1-x^6)^4(1-x)^-4.
How do we apply the binomial expansion in the case of negative powers in this case?
- a. 113
- d. 132
- c. 125
- b. 119
0 voters
Coefficient of x^2*y^3*z in (1-x-y-z)^20
a. 20!/[(14!)*(2!)*(2!)] b. 20!/[(14!)*(2!)*(3!)]
c. - 3*20!/[(14!)*(3!)^2] d. None of these
7. In a examination there are 10 objective questions with 4 choices, with only one
choice is correct. How many ways we can mark OMR sheets if its known that we
have to attempt all and later it is found that only two are correct.
a. 10c2 b. 4^10 c. 10c2*4^8 d. 10c2*3^8 e. None of
these
Find the value of X, where
X = (2x8 + 8x32 + 18x72.....upto n terms/1 + 16 + 81....upto n terms)^1/4
a) 2n
b) 2^n
c) 2
d) 4
e) none of these
approach plss..
There are how many trailing zeros at the end of (100!+101!+102!+103!)^100
a. 24^100 b. 25^100 c. 2400 d.2500
e. None of these