Ques:- Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Recent Answer : Added by Admin On 2022-09-28 18:37:01:
Out of 10 persons, 4 are graduates; so, (10 – 4) = 6 are under-graduates.
If there is no restriction, any three can be chosen from the ten in (10C3) = 120 ways.
Now, if all three chosen are under-graduates; it can take place in (6C3) = 20 ways.
Therefore, the probability that there will be no graduate among the three chosen = (20 / 120) = (1 / 6).
Therefore, the probability that there will be at least one graduate among the three chosen = {1 – (1 / 6)} = (5 / 6) = 0.8333.
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Ques:- A train 100 meters long passes a platform 100 meters long in seconds. The speed of the train is
A. 36 km/hr
B. 52 km/hr
C. 72 km/hr
D. 92 km/hr
Recent Answer : Added by ThinkAlike On 2022-03-09 16:31:07:
= 100 + 100 = 200 m
Time taken by train = 10 sec.
∵ Speed = Distance/Time
⇒ Speed of train = 200/10 = 20 m/sec.
∴ Speed of train = 20 × 18/5 = 72 kmph.
In question they left 10 seconds
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Ques:- A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current?
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Ques:- 24. 13 kigs and 6 libs can produce 510 tors in 10 hrs, 8 kigs and 14 libs can produce 484 tors in 12 hrs.Find the rate of production of tors for kigs and libs. Express the answer in tors/hr.
Recent Answer : Added by Admin On 2020-05-17 12:04:16:
Ques:- 80% pass in english, 70%pass in maths , 10%fail in both , 144 pass in both . How many all appeared to the test?
Recent Answer : Added by Admin On 2020-05-17 12:01:09:
pass English =80%
fail=100-80=20%
pass Math = 70%
fail in Math=100-70=30%
fail in both=10%
total fail students= fail in Eng+fail in Math-common
= 20+30-10=40%
if 40% fail then 60% will pass
let total students=x
hence
60% 0f (total students)=144
60/100 of (x)= 144
x=(144×100)/60
X=240
total students=240
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Ques:- 6 cats kill 6 rats in 6 minutes .how many cats will be needed to kill 100 rats in 50 minutes?
Recent Answer : Added by Admin On 2020-05-17 12:04:23:
one cat kill one rat six minutes
so 1 cat kill 100 rat willbe needed 6*100=600minutes
then 100 rates kill 50minutes means then 600/50=12
so the answer is 12
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Ques:- The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
Recent Answer : Added by abhishek On 2021-11-09 15:53:44:
1.7% loss
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Recent Answer : Added by DK BOSS On 2021-07-15 05:30:04:
acno is right answer
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Ques:- Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Recent Answer : Added by admin On 2022-08-14 16:46:38:
1875
Ques:- a man travels by walking 4 kmph to a certain distance followed by 3 kmph upstream a hill and returns at 6 kmph hill downstream and walks the same 4 kmph in flat and returns home. if the total time taken is 6 hrs wht is the total distance ?
A. 24
B. 12
C. 22.5
D. none of these
Recent Answer : Added by Dennis On 2020-07-16 14:50:37:
The ratio flat vs hill is unknown so you can’t calculate this normally. But since the average for uphill/downhill is also 4 kmph ((1.5h)/6km)), the calculation is: 6 hours * 4kmph = 24km.
Ques:- if length of a rectangle is incr by 20% and width is decr by 20% then area
Recent Answer : Added by Admin On 2020-05-17 11:59:46:
we know,
area=b*h
b gets increased by 20% i.e (b+0.20b)
h gets decreased by 20% i.e (h-0.20h)
rewriting the equation(area=b*h),
area=(b+0.20b)*(h-0.20h)
area=b(1+0.20)*h(1-0.20)
area=b(1.20)*h(0.80)
area=b*h*(1.20)*(0.80)
area=b*h*(0.96)
i.e new area=0.96 times the original area
if 100% was the original area,it has decreased to 96%
so,100%-96%= 4%
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Ques:- X, Y, Z enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of X, Y, Z in annual profit of Rs. 40,500 are:
Recent Answer : Added by Supriya p On 2022-09-28 17:42:52:
X share is 10500
Y share is 13500
Z share is 16500
Out of 10 persons, 4 are graduates; so, (10 – 4) = 6 are under-graduates.
If there is no restriction, any three can be chosen from the ten in (10C3) = 120 ways.
Now, if all three chosen are under-graduates; it can take place in (6C3) = 20 ways.
Therefore, the probability that there will be no graduate among the three chosen = (20 / 120) = (1 / 6).
Therefore, the probability that there will be at least one graduate among the three chosen = {1 – (1 / 6)} = (5 / 6) = 0.8333.