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David says to robert "if you guve me 15 of your tiles,

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David says to robert "if you guve me 15 of your tiles, [#permalink] New post 18 Apr 2013, 00:05
David says to robert "if you guve me 15 of your tiles, i will have three times the number of tiles left with you robert replies if you give me 15 of your tiles i will have the same no of tiles left with you find the no of tiles of robert

a.75
b.60
c.45
d.30
e.25

Last edited by Zarrolou on 18 Apr 2013, 02:49, edited 1 time in total.
Modified OA
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the ratio of incomes of hila and kime is 9:7 and the ratio o [#permalink] New post 18 Apr 2013, 00:09
the ratio of incomes of hila and kime is 9:7 and the ratio of expenses is 4:3 if each of them saves 200$ per month find monthly income of kime

a.1200$
b.1400$
c.1600$
d.1800$
e.2000$

[Reveal] Spoiler: OA
B

Last edited by Zarrolou on 18 Apr 2013, 02:50, edited 1 time in total.
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4men and 6 boys can finish a piece of work in 20 days while [#permalink] New post 18 Apr 2013, 00:11
4men and 6 boys can finish a piece of work in 20 days while 3 men and 4 boys can finish it in 28 days find the time taken by 7 men to finish the work

a.20 days
b.40 days
c.140 days
d.280 days
e. cant find

[Reveal] Spoiler: OA
A

Last edited by Zarrolou on 18 Apr 2013, 02:50, edited 1 time in total.
Modified question, added OA
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students of class are made to stand in row if one student is [#permalink] New post 18 Apr 2013, 00:14
students of class are made to stand in row if one student is extra in a row there would be 2 rows less if one student is less in row there would be 3 rows more find the no of student

a.120
b.90
c.60
d.30
e.cant find

[Reveal] Spoiler: OA
C

Last edited by Zarrolou on 19 Apr 2013, 07:18, edited 1 time in total.
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Re: David says to robert "if you guve me 15 of your tiles, [#permalink] New post 18 Apr 2013, 00:19
2
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R = titles of Robert
D = titles of David
3*(R-15)=D+15
D-15=R+15

You solve this and obtain R=45 and D=75, it's not B and here we can see why:

b.R=60 so 3*(60-15)=D+15 D=120, then the second equation doesn't "work"
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Re: the ratio of incomes of hila and kime is 9:7 and the ratio o [#permalink] New post 18 Apr 2013, 00:38
Salary = exp + savings

\frac{eH+sH}{eK+sK}=\frac{9}{7} saving are 200$ \frac{eH+200}{eK+200}=\frac{9}{7}
\frac{eH}{eK}=\frac{4}{3}

7(eH+200)=9(eK+200) 7eH-9eK=400
3eH=4eK
do some math... :?

eH=1600 and eK=1200
SalaryKime = 1200+200 = 1400$ B and not C...
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Re: 4men and 6 boys can finish a piece of work in 20 days while [#permalink] New post 18 Apr 2013, 01:00
M = rate of work of men
b = rate of work of boys

(4M+6B)*20 days= 1 job
(3M+4B)*28 = 1 job

80M+120B=1
84M+112B=1 so dome math...

M=\frac{1}{140}
B=\frac{1}{280} those are the rate of work (each hour).

7 boys = 7*\frac{1}{128}=\frac{7}{128} each hour
To complete one job 1 job = time*\frac{7}{280} now this time is \frac{280}{7} hour that is none of your answers
If the question were about men
7 men = 7*\frac{1}{140}=\frac{7}{140}
To complete one job 1 job = time*\frac{7}{140} now this time is \frac{140}{7} = 20 A
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Kudos [?]: 90 [0], given: 35

Re: students of class are made to stand in row if one student is [#permalink] New post 18 Apr 2013, 01:01
IMO C
lets put that in equation.
No. of students in one row=x
No. of rows=y
Total students=xy.
1st equation:
(x+1)(y-2)=xy i.e. xy-2x+y-2 =xy i.e. -2x+y=2
2nd Equation
(x-1)(y+3)=xy i.e. xy+3x-y-3 =xy i.e. 3x-y=3

adding 1st and second equation we get x=5
putting x=5 in any of the equation we get y=12

so total number of Students should be xy = 5*12 = 60

R u sure OA is D?
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Re: David says to robert "if you guve me 15 of your tiles, [#permalink] New post 18 Apr 2013, 01:37
robert has 45 tiles.. agree with zar
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Re: students of class are made to stand in row if one student is [#permalink] New post 19 Apr 2013, 07:17
Expert's post
abhishek1990p wrote:
students of class are made to stand in row if one student is extra in a row there would be 2 rows less if one student is less in row there would be 3 rows more find the no of student

a.120
b.90
c.60
d.30
e.cant find


Think of the students standing in a matrix of rows and columns.

There are r rows and c columns. So there are a total of rc students.

Algebra approach:

Now if there is 1 student extra in each row i.e. there is one column extra, no of rows will be r-2 rows.
If there is 1 student less in each row, i.e. there is one column less, no of rows will be r+3 rows.

(r - 2)(c + 1) = rc
(r + 3)(c - 1) = rc

r - 2c = 2
-r + 3c = 3

c = 5
r = 12

Total number of students = 5*12 = 60
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Kudos [?]: 5190 [0], given: 164

Re: 4men and 6 boys can finish a piece of work in 20 days while [#permalink] New post 19 Apr 2013, 07:27
Expert's post
abhishek1990p wrote:
4men and 6 boys can finish a piece of work in 20 days while 3 men and 4 boys can finish it in 28 days find the time taken by 7 men to finish the work

a.20 days
b.40 days
c.140 days
d.280 days
e. cant find

[Reveal] Spoiler: OA
A


M = rate of work of each man, B - rate of work of each boy
4M + 6B = 1/20
3M + 4B = 1/28

Solve simultaneously. We need to get rid of B so multiply first equation by 2 and the second one by 3

8M + 12B = 1/10
9M + 12B = 3/28

Subtract the equations to get:
M = 2/280 = 1/140 = Rate of work of one man

Rate of work of 7 Men = 7/140 = 1/20
Time taken = 1/Rate of work = 20 days
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There are two buses [#permalink] New post 19 Apr 2013, 11:32
There are two buses. If 10 passenger are sent from the first bus to second bus, passenger in both will be equal. If 20 passenger from 2nd bus are sent to 1st bus, the number of passenger in first will be twice the number of passenger of 2nd
Find total passenger

a.180
b.500
c.600
d.300
e100

Last edited by Zarrolou on 19 Apr 2013, 12:04, edited 3 times in total.
Edited and added OA
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.the area of rectangle increase by 200 sqmtr if lenghth is i [#permalink] New post 19 Apr 2013, 11:53
5.the area of rectangle increase by 200 sqmtr if lenghth is increse by 8m and breadth by 3m the area incre by 225sq m if lenght is incr by 3 m and bradth by 8m find perimeter
a.74m
b.60m
c.56m
d.48m
e.44m
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the charges for a 5 day trip by tourisim bus for one full an [#permalink] New post 19 Apr 2013, 11:55
6.the charges for a 5 day trip by tourisim bus for one full and half ticket is 1440 iccluding of boarding charges which are same for a full as well as a half ticket
the charges for the same trip for 2 full and one half ticket the charges are 2220the fare for half ticket is 75% of the full ticket find the difference betwn the fare and boarding charges for one full ticket
a.480
b.360
c.300
d.240
e.180
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After covering a distance of 30 miles with a uniform speed a [#permalink] New post 19 Apr 2013, 11:59
After covering a distance of 30 miles with a uniform speed, a train engine develops a defect and consequently its speed is reduced to 4/5th of its original speed. In result the train reaching its destination late by 3/4 hrs. Had it happened after covering 18 miles more the train would have reached its destination 9 mins earlier.
Find the distance of journey

a.75 miles
b.90 miles
c.105 miles
d.120 miles
e.135 miles

Last edited by Zarrolou on 19 Apr 2013, 14:53, edited 1 time in total.
Edited and added OA
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Albert invested a some amount at rate of 3% per quaterly sim [#permalink] New post 19 Apr 2013, 12:01
Albert invested a some amount at rate of 3% per quaterly simple interest and other amount at the rate of 7.5% half yearly simple interest. he received 1500$ as interest for a year. if he had interchanged the amount invested he would have received 78$ more as interest for the year.
Find the smallest investment

a.7062.5$
b.5762.5$
c.7562.5$
d.5002.0$
e.7002.0$

Last edited by Zarrolou on 19 Apr 2013, 13:13, edited 1 time in total.
Edited and added OA
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A man sold a strawberry juice can and pineapple juice can fo [#permalink] New post 19 Apr 2013, 12:03
A man sold a strawberry juice can and pineapple juice can for 760$ therby making profit of 25%on strawberry juice can and 10% on pineapple juice can by selling for 767.50$ he would have realized a profit of 10% on strawbeery can and 25% on pineapple can
Find the cost price of pineapple juice can

a.175$
b.210$
c.240$
d.300$
e.350$

Last edited by Zarrolou on 19 Apr 2013, 12:56, edited 1 time in total.
Edited and added OA
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A child on a controlled diet is fed 300 ounce of a mixture [#permalink] New post 19 Apr 2013, 12:04
A child on a controlled diet is fed 300 ounce of a mixture of two foods a and b food a contains 10% protein and food b contains 15% protein if child diet contains exactly 38 ounce of protein daily.
How many ounce of food a are in the mixture?

a.100
b.140
c.150
d.160
e.200

Last edited by Zarrolou on 19 Apr 2013, 12:39, edited 2 times in total.
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Re: There are two buses [#permalink] New post 19 Apr 2013, 12:04
1
This post received
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F=first bus
S=second bud

F-10=S+10
2*(S-20)=F+20 2S-40=F+20 2S-F=60 do some annoying math

F=100, S=80

A
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.A train covered a certain distance at uniform speed [#permalink] New post 19 Apr 2013, 12:04
11.A train covered a certain distance at uniform speed if train would have been 6miles/hour faster it would have taken 4 hrs less than the scheduled time and if the train were slower by 6 miles/hour it would have taken 6 hrs more than the scheduled time
find the distance in miles of journey
a.840
b.780
c.720
d.680
e.630
.A train covered a certain distance at uniform speed   [#permalink] 19 Apr 2013, 12:04
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