11. In June a baseball team played 60 games and won 30% of them. After a phenomenal winning streak this team raised its average to 50%. How many games must the team have won in a row to attain this average?
Answer:
Explanation:explanation: 60----18 wins (18/60)*100=30%.
for 50% they are winning games in row= ((18+x)/(60+x))*100=50%
by solving this we will get x= 24 games.
here x= no of winning games in a row
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12. There are 3 boys and 4 girls. How many ways they are arranged such that boys should be always together ?
Answer:
Explanation:By keeping 3 boys together (1) and arranging 4 girls with them
5! = 5*4*3*2*1 = 120ways. (i.e., 4+1 =5)
Possible arrangements of 3 boys in following ways
3! = 3*2*1 = 6ways
Now, arrange all with the boys together
120*6 = 720ways
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13. Two trains at speed 60 km/hr comes in the opposite direction. At a particular time the distance between the two trains is 18km. A shuttle flies between the trains at the speed of 80 km/hr. At the time the two trains crashes what is the distance traveled by shuttle?
Answer:
Explanation:The two trains are 18km apart. Now we know both are
travelling at 60kmph so therefore they have a relative
speed of 120kmph...ie: they close on each other at 120kmph.
So as t=d/s =18/120= 0.15 hours
To get this in minutes....0.15x 0.6= 9 mins
So the question is how far can the shuttle go in 9 mins at
80kmph?
Since, d=s*t=80x0.15=12km
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14. Suparna needs to browse through 75 pages of a novel before she gives her review to the class. She has 2.5 hours before the lecture. What should be her reading speed in pages/hour?
Answer:
Explanation:Using Unitary method,
Reading speed= (Total pages)/(Total number of hours)=75/2.5=30
So the required speed will be 30 pages/hour
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15. If a man earns Rs20 on first day and spends Rs15 on second day, and earns Rs20 on third day and spends Rs 15 on fourth day and goes on. On which day he will be having Rs 60.
Answer:
Explanation:Earns Rs20 on first day and spends Rs15 on second day means,
End of day 2, he have 5Rs.
Therefore,
In 16days he have 40Rs
2 * 8 = 16days
5rs* 8 = 40Rs
And On the 17th day again he earn Rs.20,
40 + 20 =60Rs.
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16. There is a clock which shows false timing ie it shows 10 minutes less for each 1 hour. If the clock shows 12 noon now how many minutes will be lost when it shows 3 pm?
Answer:
Explanation:For 1 hour, 10minutes is slower, then for
06 miuntes - 1 minutes is slower
30 minutes - 5 minutes
Actual time false time
12 12
01 PM 12.50 PM (10 minutes slower)
02 PM 01.40 PM (12.50 + 60 min - 10 minutes slower)
03 PM 02.30 PM (01.40 + 60 min - 10 minutes slower)
03.36 PM 03.00 PM (02.30 + 36 min - 6 minutes slower )
So, 36 minutes will be lost when it is showing 3.00 PM. and the actual time is 3.36 PM
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17. In a garden man has to pick some flowers ans has to pass thrrough 3 doors. Each door has a guard. Man has to give half of the flowers he had, to the guard and in return guard returns the man one flower back. How many flower should man pick so that at the end he is left with same number of flowers he has picked?
Answer:
Explanation:Suppose man picks up x flowers.
He gives half flowers he had to guard and guard in return gives 1 flower to man.
So, after 1st door remained flowers towards guard=(x/2)+1
i.e(x+2)/2
After 2nd door remained flowers towards guard=[(x+2)/4]+1
After 3rd door remained flowers towards guard=[(x+6)/8]+1
i.e.(x+14)/8
At the end he is left with same number of flowers he has picked.
So, (x+14)/8=x
8x-x=14
x=2
Hence he should pick up 2 flowers.
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18. In a company ones salary increases 6/5 times in every year. After 4 year of joining average salary is 1342. Then what's the starting salary of the company?
Answer:
Explanation:Let x be initial salary.
After one year it becomes 6/5*x
4 months salary is
= x+6/5x +6/5*6/5x+ 6/5*6/5*6/5x + 6/5*6/5*6/5*6/5x =1342*4
By solving we get x =1000
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19. if x+y+z=9 and both y and z are positive integers greater than zero, then the maximum value x can take is?
Answer:
Explanation:If y=z=1, then, x+y+z=9; x+1+1=9;
So, x=7
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20. 3 balls inside a bag having numbers on it written 1, 2, 3 on it. A ball is taken and then put inside it. Find probability that all 3 nos. are the same when it is taken 3 times?
Answer:
Explanation:By law of probability = 1/3 * 1/3 * 1/3 = 1/27
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