51. 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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MindTree HCL Technologies Broadcom Ltd
52. 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
Workspace
MindTree HCL Technologies Broadcom Ltd
53. 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
Workspace
HCL Technologies Broadcom Ltd
54. 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
Workspace
HCL Technologies Broadcom Ltd
55. Square of 2 more than a 2 digit number is multiplied and % by 2 and 5 respectively. if twice of the result is equal to 500 then find the number.
Answer:
Explanation:given, 2((x+2)^2*2%5)=500
=>(x+2)^2*2%5=250
=>(x+2)^2*0.4=250
=>(x+2)^2=625
=>(x+2)^2=25^2
=>x=23
Workspace
HCL Technologies
56. A vendor purchases binder clips at 12 for rs60.How many clips should he sell for rs60 to earn a profit of 20%?
Answer:
Explanation:Profit of 20% means he should sell the 12 clips for 72 Rs
so for 60 Rs he should sell 10 clips
Workspace
HCL Technologies
57. In two alloys, copper and tin are related in the ratios of 4:1 and 1:3. 10kg of Ist alloy, 16 kg of 2nd alloy and some pure copper melted together. An alloy obtained in which the ratio of copper and tin was 3:2. Find the weight of the new alloy.
Answer:
Explanation:suppose x kg of pure copper is melted with 10kg of Ist alloy and 16 kg of 2nd alloy , then
Pure cooper in new alloy = 10*4/5 + 16*1/4 +x = 12+x kg
Pure tin in new alloy = 10*1/5+ 16*3/4 = 14 kg
As per given condition
(12+x)/14 = 3/2
24+2x= 42
x=9 kg
Total weight of new alloy = 10+16+9=35 kg
Workspace
HCL Technologies
58. 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.
Workspace
HCL Technologies Broadcom Ltd
59. Rita is twice as old as Rama. Three years ago, she was three times as old as Rama. How old is Rita now?
Answer:
Explanation:If present age of Rita=x & Rama=y, then
x=2y ---(i) &
x-3=3*(y-3) or x-3y=-6 ---(ii)
On solving (i) & (ii), x=12, y=6
Workspace
HCL Technologies
60. Some person bought something at loss for Rs 60. He then sold it for the the price of 81 and his profit was 20% of the loss. At what price did he buy the object.
Answer:
Explanation:lets Assume loss be Rs x on Rs 60
Cost Price = 60+x
He then sold it the price of 81 and his profit was 20% of the loss
60+x + 20%x = 81
Solving this x will be 17.5
Cost Price = 60 + x = 60 + 17.5 = 77.5
Workspace
HCL Technologies
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