At exactly what time past 7:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
Ans:240/11 minutes past 7:00
Let milk, chicken and aples be represented by M, C and A respectively.
Given n(M)=0.25x, n(C)=0.5x, n(A)=0.35x
Given percentage of shoppers who buy all 3 items is 0.1x, where x represents total size of shoppers
Let a,b and c represent %age who buy both milk and chocolate, milk and apples and and chicken and apples respectively.
Only milk = 0.5x-(a+b)
Only chicken= 0.4x-(a+c)
Only apples= 0.25x-(b+c)
Adding up all
1.15x-2(a+b+c)+(a+b+c)+0.1x=x
hence (a+b+c)=0.25x
OA=25%
I am unable to understand '-2(a+b+c)+(a+b+c)'. If we add all the equations wont we get just -2(a+b+c)? Why we have to add (a+b+c) again? Can you please explain this for my understanding? If possible, please also explain how would the equation look like....while finding out the percentage for 2 or more products.
Regards
MSD
Regards
Hey plealse help me with this problems.....(from IMS CAT 1)
A student worked without interruption to complete a 2-part test in 1 hr.If he completed the first part in 1/2 the time it took him to complete the second part,how many minutes did it take him to complete the second part?
i think it is very simple and answer should be 40 minutes.
But the answer given is 36 min.
and the explanation is:
let student complete the first part in x min,and second in y min.
then,
x + y = 60
and
x=2/3 y
but i think.... x=1/2y
please help.....
Hi
Just hoping that someone can help me with this question from Princeton Practice Test 1
A man chooses an outfit from 3 different shirts, 2 different pairs of shoes, and 3 different pants. If he randomly selects 1 shirt, 1 pair of shoes, and 1 pair of pants each morning for 3 days, what is the probability that he wears the same pair of shoes each day, but that no other piece of clothing is repeated?
A) 1/(3^6 * 2^3)
B) 1/(3^6 * 2)
C) 1/(3^4)
D) 1/(3^2 * 2)
E) 5 * 1/(3^2)
The correct answer is C). Please include a short explanation in your attempt.
Thanks!
Karan
Hey plealse help me with this problems.....(from IMS CAT 1)
A student worked without interruption to complete a 2-part test in 1 hr.If he completed the first part in 1/2 the time it took him to complete the second part,how many minutes did it take him to complete the second part?
i think it is very simple and answer should be 40 minutes.
But the answer given is 36 min.
and the explanation is:
let student complete the first part in x min,and second in y min.
then,
x + y = 60
and
x=2/3 y
but i think.... x=1/2y
please help.....
hey Saurabh.Daftary if the language of question as you haev mnetioned the your explanation is right and answer will be 40 min. can you check the question once to confirm if first part takes 1/2 of second or one and the half of second.
I am unable to understand '-2(a+b+c)+(a+b+c)'. If we add all the equations wont we get just -2(a+b+c)? Why we have to add (a+b+c) again? Can you please explain this for my understanding? If possible, please also explain how would the equation look like....while finding out the percentage for 2 or more products.
Regards
MSD
Regards
i hope u understood hw i arrived at expressions for "only milk', "only chicken" and "only apples"
Now if u add up the three expressions u vill get %age of ppl who bought only chicken or only milk or only apple. (In a Venn diagram represented by 3 intersecting circles, this portion corresponds to the region that exclusive only to milk, apples and chicken)
Now, for the intersecting regions:
Both milk and chicken = a
Both milk and apples = b
Both chicken and apples = c
Region common to all 3 circles = 0.1x (since 10% buy all 3 items)
Now add up for union of the 3 circles
Only milk+only chicken+only apples+Both milk and chicken+Both milk and apples+Both chicken and apples+All 3items
u vill get an expression
1.15x-2(a+b+c)+(a+b+c)+0.1x
Equate it to x to find the value of (a+b+c) since this region corresponds to %age who bought only 2 of 3 items.
hope i'm clear this time.
Regards,
Inder.14 Sayshey Saurabh.Daftary if the language of question as you haev mnetioned the your explanation is right and answer will be 40 min. can you check the question once to confirm if first part takes 1/2 of second or one and the half of second.
Let the time taken to complete the 2nd part be x
Hence time taken to complete 1st part = x/2
Given x+x/2=1
x=2/3 hrs i.e time taken to complete 2nd part = 40 min
Guys - pls help with this one
If the sequence x1, x2...xn is such that x1=3 and xn+1=2xn-1 then what is the value of x20-x19 ?
a 2^19
b 2^20
c 2^21
d 2^20 - 1
e 2^21 -1
Guys - pls help with this one
If the sequence x1, x2...xn is such that x1=3 and xn+1=2xn-1 then what is the value of x20-x19 ?
a 2^19
b 2^20
c 2^21
d 2^20 - 1
e 2^21 -1
has to be 2^19
x1=3=2^1+1
x2=5=2^2+1
x3=9=2^3+1
.
.
.
x19=2^19+1
x20=2^20+1
x20-x19=2^20-2^19=2^19*(2-1)=2^19
Some more help needed ;-)
Can someone please help me with the answers to the following
a. If x, y, and k are positive numbers such that (x/x+y)(10) + (y/x+y)(20) = k and if x A. 10
B. 12
C. 15
D. 18
E. 30
A certain city wid a population of 132000 is to be didvided into 11 districts and no district shuould have a populatn that is 10% greater than population of any other district wat is the min populn that the least populated district could have ?
A)10700
B)10800
C)10900
D)11000
E)11100
A square countertop has a square tile inlay in the cente, leaving an untiled stripof uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39, which of the following could be the width in inches of the strip?
a) 1.5
b) 3
c) 4.5
a) a only
b) b only
c) a and b only
d) a and c only
e) a, b and c
If n is a positive integer and n^2 is divisible by 72, then the largest possible integer that must divide n is
a) 6
b) 12
c) 24
d) 36
e) 48
Some more help needed ;-)
Can someone please help me with the answers to the following
a. If x, y, and k are positive numbers such that (x/x+y)(10) + (y/x+y)(20) = k and if x A. 10
B. 12
C. 15
D. 18
E. 30
A certain city wid a population of 132000 is to be didvided into 11 districts and no district shuould have a populatn that is 10% greater than population of any other district wat is the min populn that the least populated district could have ?
A)10700
B)10800
C)10900
D)11000
E)11100
A square countertop has a square tile inlay in the cente, leaving an untiled stripof uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39, which of the following could be the width in inches of the strip?
a) 1.5
b) 3
c) 4.5
a) a only
b) b only
c) a and b only
d) a and c only
e) a, b and c
If n is a positive integer and n^2 is divisible by 72, then the largest possible integer that must divide n is
a) 6
b) 12
c) 24
d) 36
e) 48
the ansers r in bold
will b postin solutios one by one
Some more help needed ;-)
Can someone please help me with the answers to the following
a. If x, y, and k are positive numbers such that (x/x+y)(10) + (y/x+y)(20) = k and if x A. 10
B. 12
C. 15
D. 18
E. 30
k=(x/x+y)(10) + (y/x+y)(20) = (x/x+y)(10) + (y/x+y)(10) + (y/x+y)(10)
=((x+y)/(x+y))*(10) + (y/x+y)(10)
=10+(y/x+y)(10)
hence, option 1 is ruled out as anser has to b >10
now, since, y>x, y/(x+y) >1/2 hence, at
when y/(x+y)=1/2 k=10+5=15
=> k>15
hence, option 2 and 3 are ruled out
also, y/(x+y) hence, k cant be 30
thus, k=18
the ansers r in bold
will b postin solutios one by one
Hey - will wait for the explanations. :boat:
Some more help needed ;-)
A certain city wid a population of 132000 is to be didvided into 11 districts and no district shuould have a populatn that is 10% greater than population of any other district wat is the min populn that the least populated district could have ?
A)10700
B)10800
C)10900
D)11000
E)11100
the ans i posted for thisques was wrong...it has to b 11000
the approach shud be to minimise the populatn(p) for one of the districts while maximising it for the remaining 10....i.e. the remainin 10 districts shud hav equal populatn
also, keep this fact with you...the avg populatn of the 11 districs has to b 132000/11=12000
goin by the options...
when p=10700...max populatn of other districts=1.1*10700=117700
obviously, when this is the max populatn...the avg has to b less than this...hence, it is this option is ruled out
similarly, for option 2, max populatn=1.1*10800=118800...ruled out
now, check for 11000, max populatn=1.1*11000=12100
hmm....check the total pop now...12100*10+11000=132000....fits !!...hence, the correct ans
`A square countertop has a square tile inlay in the cente, leaving an untiled stripof uniform width around the tile. If the ratio of the tiled area to the untiled area is 25 to 39, which of the following could be the width in inches of the strip?
a) 1.5
b) 3
c) 4.5
a) a only
b) b only
c) a and b only
d) a and c only
e) a, b and c
tiled area/untiled area=25:39
tiled area/area of countertop=25:(25+39)=25:64
let the side of the square tiled area be a
now, for the first option, if the untiled width is 1.5 the side of the countertop =a+2*1.5=a+3
i.e. a^2 / (a+3)^2 = 25/64
i.e. a/(a+3)=5/8
solve this, u get a=5
similarly, solve for option 2 as,
a/(a+6)=5/8
u get, a=10
for option 3, a=15
hence, all the three options fit in
If n is a positive integer and n^2 is divisible by 72, then the largest possible integer that must divide n is
a) 6
b) 12
c) 24
d) 36
e) 48
i guess there's nuthin in this ques! once, u realise that u have to square the options and check the divisibility by 72
and mark the smallest number as yr answer
6^2=36....not divisibl by 72
12^2=144....divisibl by 72
hence the answer has to be 12
tiled area/untiled area=25:39
tiled area/area of countertop=25:(25+39)=25:64
let the side of the square tiled area be a
now, for the first option, if the untiled width is 1.5 the side of the countertop =a+2*1.5=a+3
i.e. a^2 / (a+3)^2 = 25/64
i.e. a/(a+3)=5/8
solve this, u get a=5
similarly, solve for option 2 as,
a/(a+6)=5/8
u get, a=10
for option 3, a=15
hence, all the three options fit in
i guess there's nuthin in this ques! once, u realise that u have to square the options and check the divisibility by 72
and mark the smallest number as yr answer
6^2=36....not divisibl by 72
12^2=144....divisibl by 72
hence the answer has to be 12
May be I am missing something very basix. Can you explain this one again ..ppls
Let the time taken to complete the 2nd part be x
Hence time taken to complete 1st part = x/2
Given x+x/2=1
x=2/3 hrs i.e time taken to complete 2nd part = 40 min
but the doubt asked here was the relation in the time take in first and second part...............
i got the answer as 40 but as per the doubt asked it was coming as 36 .........
harneet.m.kaur SaysMay be I am missing something very basix. Can you explain this one again ..ppls
hey, this was the shortcut i postd....but if u wna really ponder over it's validity...try it this way...
1^2=1...not divisible by 72
2^2=4...not divisible by 72
...
11^2=121...not divisible by 72
12^2=144...divisible by 72
so, n=12 and n^2=144
now, get bk to the ques...wha r we askd?? the greatest no. which divides n....
isn't it vry obvious that the gr8st no. dat divides n has to b n?
hence, the answer is 12...do revert if still in doubts
Hey Guys ...another set of Qs. Help will be much appreciated ...Thanks
What will be the remainder when 13^7 + 14^7 + 15^7 + 16^7 is divided by 58?
a. 57
b. 1
c. 30
d. 0
e. 28
If a circle, regular hexagon and a regular octagon have the same area and if the perimeter of the circle is represented by "c", that of the hexagon by "h" and that of the octagon by "o", then which of the following is true?
a. c > o > h
b. c > h > o
c. h > c > o
d. o > h > c
e. h > o > c
The points R, T, and U lie on a circle that has radius 4. If the length of arc RTU is (4 * pi) / 3, what is the length of line segment RU?
A. 34
B. 38
C. 3
D. 4
E. 6
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?
A. 10
B. 12
C. 14
D. 16
E. 18
When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7,
the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when
y is divided by 7, the remainder is 4. If x > y, which of the following must be a factor of
x - y?
A. 12
B. 15
C. 20
D. 28
E. 35
A certain circle in the xy-plane has its center at the origin. If P is a point on the circle,
what is the sum of the squares of the coordinates of P?
(1) The radius of the circle is 4.
(2) The sum of the coordinates of P is 0.
What is the median number of employees assigned per project for the projects at
Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to
each project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to
each project.
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y
kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C =
6.5x + 8.5y. Is x (1) y > 0.15
(2) C >=7.30
Is ab=1
a. aba=a
b. bab=b
Is sqrt((x-3)^2) = 3-x
a. x!= 3
b. -x x >0