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261 / 438
A father of 6 children takes 2 of his children at a time to a circus as often as he can, without taking the same pair of children together more than once. How many times does the father go tothe circus?
A11
B8
C13
D15
ENone of these
Answer: Option D
Explanation:He has to choose 2 children from 6
total number of combinations=6c2=15
Father goes to circus 15 times
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262 / 438
There are 9 popsicles: 3 orange, 3 cherry, 3 grape. There are 4 children. What is the probability that all 4 children will get the flavor of their choice?
A23/27
B25/27
C1/27
D26/27
Answer: Option D
Explanation:Consider the 4 children. Each of them has a flavor preference, and so there are 3x3x3x3 = 81 possibilities for what the kids want (we assume that each kid does in fact want one of the three flavors: orange, cherry, or grape).
Of these 81 possibilities, 3 of them mean that one child will be unhappy: OOOO, CCCC, and GGGG (i.e., when all four of them want the same flavor as the others). For all of the other possibilities (e.g.OOCG, OOOC, OOCC,...) there are going to be enough popsicles of the required flavors.
Assuming that each of the 81 possibilities is equally likely,
Pr(4 happy kids) = 1 - Pr(at least one unhappy kid)
= 1 - 3/81
= 1 - 1/27
= 26/27
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263 / 438
A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
A40 minutes
B1 hour.
C1 hr 30 min.
D1 hr 15 min D.
Answer: Option D
Explanation:upstream speed = 2km/h
downstream speed = 6km/h
speed in still water = 1/2(6+2) = 4km/h
so to cover 5 km 75 minutes or 1h15m requires.
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264 / 438
In a library there are 5 computer cluster open for public use.Each computer cluster consist 33 laptop, in first week 75 laptop are used, in second week 155 laptop used ,in third week 30 laptop and in fourth week 160 laptop used. What fraction of library computer are in used in month?
A\(\frac{3}{5}\)
B\(\frac{2}{7}\)
C\(\frac{2}{3}\)
D\(\frac{1}{14}\)
E\(\frac{1}{4}\)
Answer: Option C
Explanation:Given computer cluster open for public = 5
So, Total laptops = 33 * 5 = 165
In the first week used 75 means 75 out of \(165 = \frac{75}{165} = \frac{15}{33}\)
2nd week \(\frac{155}{165} = \frac{31}{33}\)
3rd week \(\frac{30}{165} = \frac{6}{33}\)
4th week \(\frac{160}{165} = \frac{32}{33}\)
So. Total no of laptops used = \(\frac{\left(15+6+31+32\right)}{33} = 88\)
The fraction of library computer is in used = \(\frac{88}{33} \times \frac{1}{4} = \frac{2}{3}\)
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265 / 438
Foriegn language broadcast records last 90 Mins on each of two sides if it takes 5hrs to translate one hour of broadcast how long will it take to translate 16 full records?
A256
B26
C48
D120
ENone of these
Answer: Option D
Explanation:Time taken to records broadcast both side = 90 min. = 1:30 hour.
For 16 full record Time need = 16 * 90 min = 1440 min = 24 hrs.
=> 24 hour for 16 full record
so To translate 16 full record = 24 * 5 = 120 hrs.
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266 / 438
A word processing program can shift from one width to another automatically.If a report originally filled 100 lines ,each of which 50 characters wide,how many would be filled where word processing margin set 40 character per line??
Options:
A240
B50
C80
D40
E125
Answer: Option E
Explanation:1 line=50 char
100 line=5000 char
40 char margin set per line
so it required 5000/40=125
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267 / 438
As a mean encouraging company employee to use public transportation,employee is offer a $0.60 per side discount bus fare. John has spend $30000 per week from monday to friday.How much cost pay after the discount?
A$29,998
B$29,994
C$28,994
D$29,999
Answer: Option B
Explanation:Employee is offered discount per side = $0.60.
So both side total disccount = $0.60*2 = $1.20
So, for 5 days = 1.20*5= $6
Total amout = (30000-6) = $29994
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268 / 438
Driving her car to work 4 days per week one costs $7.00 a day for parking and $36.00 a week for fuel. How much would she save week by taking a bus at a fuel at a fare of $1.30 each way?
A$53
B$56.60
C$53.60
DNone of these
Answer: Option C
Explanation:as per the question (4 days per week one costs $7 )
So, total on fuel for week= 7*4=$28
and she expend on partking for week = $36
Total she expend per week = $(28+36) = $64
Per day by bus both side = 2*1.30= $2.60
Total cost 4 days of week = 4*2.60 = $10.40
So she save = ($64-$10.40) = $53.60
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269 / 438
A car departs at 11:10am. It travels at 110km/hr until 2:30 then it reduces its speed by 5%for the remainder of trip. It reaches destination at 7:30. How much kilometer did he travel?
A889.16 Kms
B879 Kms
C798 Kms.
DNone of these
Answer: Option A
Explanation:Here is no explanation for this answer
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270 / 438
A box of paper clips contains 100 clips. If an office uses paper clips at the rate of 15 per 100 pieces of outgoing mail, how many boxes will be required for the 4000 pieces of outgoing mail?
A6 boxes
B8 boxes
C4 boxes
DNone of these
Answer: Option A
Explanation:15clips --- 100 pieces
x clips --- 4000 pieces
x = 4000/100 * 15 = 600 clips
1 box -- 100 clips
y box -- 600 clips
y = 600/100 = 6 boxes
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