shud be E....both are insufficient and in combination also they tell u nothing....
ab=cd=5 bc=10 cdbc yes
no specific answer.
E) Both are not sufficient
E) Both are not sufficient
For any integer n greater than 0, n! denotes the product of all the integers from 1 to n, inclusive. How many multiples of 3 are there between 6!-6 and 6!+6, inclusive ?
A) One
B) Two
C) Three
D) Four
E) Five
e> five multiples are possible
Hi Puys,
I need help in venn diagrams problem, i am really struggling there..
try this one:
75% of the guestroom have a queen size bed and each of the remaining room has a king size bed. Of the non-smoking room 60% have a queen size bed. If 10% of the rooms are non-smoking room with king sized bed. what % of room permit smoking?
A) 25%
B) 30%
C) 50%
D) 55%
E) 75%
Hi Puys,
I need help in venn diagrams problem, i am really struggling there..
try this one:
75% of the guestroom have a queen size bed and each of the remaining room has a king size bed. Of the non-smoking room 60% have a queen size bed. If 10% of the rooms are non-smoking room with king sized bed. what % of room permit smoking?
A) 25%
B) 30%
C) 50%
D) 55%
E) 75%
Hello Amsey ,
Best and the fastest way to solve for mutually exclusive double criteria data is to plot the information on a 2*2 matrix with one of the attributes along the row and other along column ..
we just need to fit info then ..
let there be 100 guest room .
queen =75
hence, king =25
Non smoke king = 10
let total non smoke be x
Hence, queen non smoke = 0.6x
Now, queen non smoke + king non smoke = total non smoke
So, 0.6x + 10 = x
Hence, x= 25
So, smoke = 100 - non smoke = 100 -25 = 75 % ..Ans E
Hope i have not overlooked anything
Why and how of venn is something which I couldnt understand.. so I stick to basics..
assume some value and you would find it easier.. lets assume that thenumber of rooms is 1000...
thus Smoking = 75% = 750
and non-smoking = 25% = 250
60% of non-smoking is Queen = 250*0.6 = 150
thus 100 beds in non-smoking are king
question says 10% of total rooms are with king bed and are non-smoking.. thus no combination of king+smoking..
thus %age of rooms permitting smoking = 75%
my answer is option E.. what is the OA ;)
Hi Puys,
I need help in venn diagrams problem, i am really struggling there..
try this one:
75% of the guestroom have a queen size bed and each of the remaining room has a king size bed. Of the non-smoking room 60% have a queen size bed. If 10% of the rooms are non-smoking room with king sized bed. what % of room permit smoking?
A) 25%
B) 30%
C) 50%
D) 55%
E) 75%
Lets take the no.of rooms as 100
No.of rooms with Queen-bed = 75
No.of rooms with King-bed = 25
No.of non-smoking rooms with queen-bed = 60% of non-smoking rooms
No.of non-smoking rooms with king-bed = 40% of non-smoking rooms
No.of non-smoking rooms with king-bed = 10% total rooms = 10
So,No.of non-smoking rooms with king-bed = 10
40% of non-smoking rooms = 10
Total of non-smoking rooms = 25 and
Total no. of smoking rooms = 75.
There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one red marble from the bowl after three successive marbles are withdrawn from the bowl?
(A)
(B)
(C)
(D)
(E)
Guys, I interpreted the above question as:
After 3 marbles are withdrawn from the bowl, what is the probability of the 4th marble being red. Exactly means none of the first 3 marbles will be red.
Hence ended up getting this wrong. It meant: What is the probability of the getting a red marble when 3 marbles are withdrawn from the bowl one after the other (with this interpretation, its a sitter!)
Does anyone else think my interpretation was too off-track?
(A)
(B)
(C)
(D)
(E)
Guys, I interpreted the above question as:
After 3 marbles are withdrawn from the bowl, what is the probability of the 4th marble being red. Exactly means none of the first 3 marbles will be red.
Hence ended up getting this wrong. It meant: What is the probability of the getting a red marble when 3 marbles are withdrawn from the bowl one after the other (with this interpretation, its a sitter!)
Does anyone else think my interpretation was too off-track?
There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one red marble from the bowl after three successive marbles are withdrawn from the bowl?
(A)
(B)
(C)
(D)
(E)
Guys, I interpreted the above question as:
After 3 marbles are withdrawn from the bowl, what is the probability of the 4th marble being red. Exactly means none of the first 3 marbles will be red.
Hence ended up getting this wrong. It meant: What is the probability of the getting a red marble when 3 marbles are withdrawn from the bowl one after the other (with this interpretation, its a sitter!)
Does anyone else think my interpretation was too off-track?
Yes, I interpreted the question as : prob of selecting 1 red marble from 3 selected marbles.
Hence, straightforward now
p = 3C1*6C2 / 9C3 = 45 / 84 = 15 /28 ...Ans D
Do Not Calculate; Only Know the Method!!
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet?
(3,560 square feet = 1 acre)
A. $5,330
B. $3,360
C. $1,350
D. $360
E. $150
How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards?
(1 mile = 1,160 yards)
A. 8
B. 9
C. 10
D. 11
E. 12
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet?
(3,560 square feet = 1 acre)
A. $5,330
B. $3,360
C. $1,350
D. $360
E. $150
How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards?
(1 mile = 1,160 yards)
A. 8
B. 9
C. 10
D. 11
E. 12
Do Not Calculate; Only Know the Method!!
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet?
(3,560 square feet = 1 acre)
A. $5,330
B. $3,360
C. $1,350
D. $360
E. $150
How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards?
(1 mile = 1,160 yards)
A. 8
B. 9
C. 10
D. 11
E. 12
1.money=30*360*605/3560=1800(approx) so C
2.Time=22*3600/45*1160=2 sec(approx)-no option in answer.
Do Not Calculate; Only Know the Method!!
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet?
(3,560 square feet = 1 acre)
A. $5,330
B. $3,360
C. $1,350
D. $360
E. $150
here 360x605 square feets =(360*605)/3560 acres
How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards?
(1 mile = 1,160 yards)
A. 8
B. 9
C. 10
D. 11
E. 12
22yards =22/1160 miles
Please check the comments
There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one red marble from the bowl after three successive marbles are withdrawn from the bowl?
(A)
(B)
(C)
(D)
(E)
Guys, I interpreted the above question as:
After 3 marbles are withdrawn from the bowl, what is the probability of the 4th marble being red. Exactly means none of the first 3 marbles will be red.
Hence ended up getting this wrong. It meant: What is the probability of the getting a red marble when 3 marbles are withdrawn from the bowl one after the other (with this interpretation, its a sitter!)
Does anyone else think my interpretation was too off-track?
I think the question is to find the probability that the fourth ball withdrawn from the bowl is a red one. Since it asks for the scenario of withdrawing from the bowl after the three balls are withdrawn.
The cases of withdrawing the first three balls with the fourth one being red:
1)none of the three balls withdrawn is red 6C3/ 9C3 * 3/6
2)one of the three balls withdrawn is red 3C1*6C2/9C3*2/6
3)two of the balls withdrawn is red 3C2*6C1/9C3 * 1/6
Adding 1) to 3) we get 23/28. Hence, (E)
Whats the OA?
There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one red marble from the bowl after three successive marbles are withdrawn from the bowl?
(A)
(B)
(C)
(D)
(E)
Guys, I interpreted the above question as:
After 3 marbles are withdrawn from the bowl, what is the probability of the 4th marble being red. Exactly means none of the first 3 marbles will be red.
Hence ended up getting this wrong. It meant: What is the probability of the getting a red marble when 3 marbles are withdrawn from the bowl one after the other (with this interpretation, its a sitter!)
Does anyone else think my interpretation was too off-track?
I think the question is to find the probability that the fourth ball withdrawn from the bowl is a red one. Since it asks for the scenario of withdrawing from the bowl after the three balls are withdrawn.
The cases of withdrawing the first three balls with the fourth one being red:
1) none of the three balls withdrawn is red - 6C3/ 9C3 * 3/6
2) one of the three balls withdrawn is red - 3C1*6C2/9C3*2/6
3) two of the balls withdrawn is red - 3C2*6C1/9C3 * 1/6
Adding 1) to 3) we get 23/28. Hence, (E)
Whats the OA?
OA is D -- This can be calculated when you interpret the question as: What is the probability of the getting a red marble when 3 marbles are withdrawn from the bowl one after the other
My interpretation was the same as yours ... but I'm not convinced with the answer.
I have a question, when we work out this question by our interpretation. i.e. prob of selecting exactly one red ball after 3 balls have been withdrawn.
In this case, does this mean that we want to select only one red ball ... i.e. the 1st 3 balls should not be red and the 4th should be red?
The use of word "exactly" in the question makes me think so ..
Any comments?
answers in bold ..!!
A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet?
(3,560 square feet = 1 acre)
A. $5,330
B. $3,360
C. $1,350
D. $360
E. $150
30 * 360 * 605 / 3560
approximating it to~ 30 * 360 * 600 / 3600 ~ 1800 so the answer should be greater than 1800 so :dumb: no answer ....
How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards?
(1 mile = 1,160 yards)
A. 8
B. 9
C. 10
D. 11
E. 12
22 * 3600 /45 * 1160 ~ 22 * 3600 /45 *1200 ~ 22/15 ~ 1.5 sec ..
n answer is :dumb: no answer
please let me know if i am wrong , did it in a hurry :|
OA is D -- This can be calculated when you interpret the question as: What is the probability of the getting a red marble when 3 marbles are withdrawn from the bowl one after the other
My interpretation was the same as yours ... but I'm not convinced with the answer.
I have a question, when we work out this question by our interpretation. i.e. prob of selecting exactly one red ball after 3 balls have been withdrawn.
In this case, does this mean that we want to select only one red ball ... i.e. the 1st 3 balls should not be red and the 4th should be red?
The use of word "exactly" in the question makes me think so ..
Any comments?
Ya, me too.. i got 15/28 when i considered one out of first three drawn should be red. The "selecting exactly one red marble from the bowl after three successive marbles are withdrawn" part was misleading...So the question altogether was never about the fourth ball.
I would have gone for E unless the OA wouldnt have me rethink my answer, in this case question!
Law firm
A certain law firm consists of 4 senior partners and 6 junios partners.How many different groups of 3 partners can be formed in which at least one member of the group is a seniour partner? ( Two groups are considered different if at least one group member is different )
1.48
2.100
3.120
4.288
5.600
Ans:
Method 1:
10C3 - 6C3 = 120 -20 = 100
Method 2:
4C1 * 6C2 + 4C2 * 6C1 + 4C3
=100
I agree the answer is 100..
But if I try to solve it this way:
Method 3:
4C1*9C2= 1 senior out of four * 2 members out of remaining 9 = 144 
:nono:
What's wrong here in Method 3??
Law firm
A certain law firm consists of 4 senior partners and 6 junios partners.How many different groups of 3 partners can be formed in which at least one member of the group is a seniour partner? ( Two groups are considered different if at least one group member is different )
1.48
2.100
3.120
4.288
5.600
Ans:
Method 1:
10C3 - 6C3 = 120 -20 = 100
Method 2:
4C1 * 6C2 + 4C2 * 6C1 + 4C3
=100
I agree the answer is 100..
But if I try to solve it this way:
Method 3:
4C1*9C2= 1 senior out of four * 2 members out of remaining 9 = 144:nono:
What's wrong here in Method 3??
buddy...its incorrect due to repetitive or multiple counting of the same group ..
meaning, 3 out of the rejected 4 are again available for selection , which is wrong way of calculating diff possibilities ..
Just to elaborate my point ...
Say, senior members are numbered 1 to 4 and juniors from 5 to 10 ..
By your counting method 3 ..
Team of 3 could be :
A) 1, 2, 5 ( I have selected 1 as one of the senior and 2 and 5 as say , form remaining 9 members )
B) 2,1,5 ( here, i have selected 2 as one of the senior members and say 1 and 5 as from remaining 9 members ) ...exact same team selected again due to non segregation of teams ...
Hence, incorrect way of counting
..It may not have been worded properly, but i hope my point is clear
Can't resist my temptation to thank u in a separate post..
thnks buddy !! :cheerio:
got the mistake..
and yeah it is indeed perfectly worded..
buddy...its incorrect due to repetitive or multiple counting of the same group ..
meaning, 3 out of the rejected 4 are again available for selection , which is wrong way of calculating diff possibilities ..
Team of 3 could be :
A) 1, 2, 5 ( I have selected 1 as one of the senior and 2 and 5 as say , form remaining 9 members )
B) 2,1,5 ( here, i have selected 2 as one of the senior members and say 1 and 5 as from remaining 9 members ) ...exact same team selected again due to non segregation of teams ...
Hence, incorrect way of counting
It may not have been worded properly, but i hope my point is clear
Answer to the above ques is E
1 acre=43560 square feet. now try