The cost of 100 gm. packet of biscuit is 15 rupee and that of 500 gm. packet is 55 rupee. If we compare cost of equal amount then % loss in purchasing a biscuit packet of 100 gm. in comparison to 500 gm. will be
The cost of 100 gm. in 100 gm. packet of biscuit is 15 rupee and
The cost of 100 gm. in 500 gm. packet of biscuit is 55/5 = 11 rupee
so comparative loss = 4 rupee
so % loss in comparison to 500 gm packet = [4/11]*100 = 400/11 = 36.36
Distance between A and B is 250 km. A train starts from station A with speed 25 m/s towards station B and other train starts from station B with speed 60 km/hrs towards station A. After how many minutes will the trains meet?
OPtion
1) 100 min.
2) 90 min.
3) 120 min.
4) 150 min.
5) 180 min.
6) 80 min.
7) 40 min.
8) 60 min.
9) 200 min.
10) none of these
Solution
speed of first train = 25 m/s = 25*18/5 = 90 km/hrs
speed of second train = 60 km/hrs
total distance = 250 km.
so time taken = 250/(90+60) = 250/150 hrs = 5/3 * 60 min = 100 min
on putting x = y in other given equation
x + x^2 + y + y^3 = 16, we get
x + x^2 + x + x^3 = 16
or 2x + x^2 + x^3 = 16
x=2 is a root of this equation and other 2 roots are imaginary
There are 2 boxes. First contains 6 red, 5 green and 9 white balls whereas second contains 10 red, 4 green and 6 white balls. If 1 ball is selected at random from one of the boxes, then probability of getting green ball will be
probability of selecting box = 1/2
probability of selecting green ball from first box = 5/20
probability of selecting green ball from second box = 4/20
so net probability = 1/2(5/20) + 1/2(4/20) = 9/40
The cost of 1 book and 1 pen is 60 rupee. If all the costs are multiple of 5, then possible no. of outcomes for the non zero cost of 1 book and 1 pen will be
x % of x^2 % of x^3 % of an unknown integer = perfect square integer.
unknown integer will be
(x is any integer)
OPtion
1) 5
2) 9
3) 12
4) 19
5) 25
6) 32
7) 49
8) 2 options are possible
9) 3 options are possible
10) none of these
Solution
according to the given conditions
(x/100)*(x^2/100)*(x^3/100)*y = perfect square
or (x^6/10^6)*y = perfect square integer
so y should be a perfect square integer
and 3 options are perfect square