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Maths Quotes

But mathematics is the sister, as well as the servant, of the arts and is touched with the same madness and genius.

Harold Marston Morse

Mathematics is the handwriting on the human consciousness of the very Spirit of Life itself.

Claude Bragdon

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M4Math helped me a lot.

Vipul Chavan 4 years ago

Thanks m4 maths for helping to get placed in several companies.
I must recommend this website for placement preparations.

yash mittal 5 years ago

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to (10 years ago) "Other"

Q . In a certain camp , 20% of the boys are from Maharashtra state and30% of those are from Bombay city. If there are 49 boys in the camp who are from Maharashtra state but not from Bombay city, what is the total number of boys in the camp ? WITH EXPLANATION

Reply Like? Yes (10) | No (2)

(10 years ago)

Let the no. of total boys in the camp be x.
Given, x/5 are from maharashtra.
and 0.3*x/5 are from Bombay city.
Also, x/5-{(0.3x)/5}= 49
7x=49*50
x=350. ans

Like? Yes (14) | No (4)

(10 years ago)

Let total boys be x.
Boys from Maharashta : 0.2x
Boys from Maharashtra but not Bombay : (0.7)0.2x = 49
so, x = 350

Like? Yes (5) | No (2)

to (10 years ago) "Other"

Q. A rise of 600m is required to get a rail road over a mountain the grade can be kept down by lengthening the track and curving it around the mountain peak. The additional length of the track required to reduce the grade from 2% to 3% is approx ? WITH EXPLANATION

Reply Like? Yes (28) | No (3)

(10 years ago)

600/3%-600/2%= 10000

Like? Yes (2) | No (6)

(8 years ago)

why should we take 600/3% ?

Like? Yes (1) | No (4)

(6 years ago)

The grade is actually the slope of the railroad line. So the given slopes are 0.03 and 0.02. Calculate the length required for each slope and subtract the answers to get your final answer which is the additional length of track required. Slope is the change is height over change in length.

1) For a slope of 0.03 and height of 600 m (which is same for both cases), the length required is 30000 m
2) For a slope of 0.02 and height of 600 m, the length required is 20000 m

So 30000-20000= 10000 m, which is your final answer. The answer to the question is "a" 10000 m

Like? Yes (11) | No (2)

to (10 years ago) "Other"

Q An insurance collector receives 15% commissions on the premium collected .How much must he collect per week in order that his annual income may be rs.6500/- ? WITH EXPLANATION

Reply Like? Yes (2) | No

(10 years ago)

suppose,
insurance collector collects x premium per day
so
commission per day will be=(x*15)/100=(3*x)/20
according to question
((3*x*365)/20)=6500
so,x=118.72 per day
for a week =7*118.72=831.04 per week
total income for a week will be 831.04

Like? Yes (3) | No (5)

(5 years ago)

((6500/52)*100)/15=833.33...

Like? Yes (6) | No (1)

to (10 years ago) "Other"

Q. a man taxed at a rate of 5 % as income tax and 10% special surcharge on the amount of income tax pays altogether Rs. 1110 . Find his gross income if he allowed a deduction of 20% . WITH EXPLANATION

Reply Like? Yes (251) | No (25)

(5 years ago)

a man taxed at a rate of 5% as income tax and 10% special surcharge on amount of income tax pays altogether 1110. Find his gross income if he is allowed for deduction of 20%.

Like? Yes (17) | No (8)

to (10 years ago) "Other"

Q A garden has only red, green and white flowers. 60% of flowers have red colours, 30% have green colour and 50% have white colour. If no flower has all the three colours, What percentage of the flowers have only one colour ? WITH EXPLANATION

Reply Like? Yes (5) | No

(10 years ago)

let n(X) be the total no. of flowers in the garden = x.
n(X)= n(RUGUW)= n(R)+n(G)+n(W)-n(two color flowers) + n(three color flower)
x= 0.6x+0.3x+0.5x-n(two color flowers)+ 0
n(two color flowers)=0.4x
n(only R)+n(only G)+n(only W)= n(R) + n(G) +n(W) - 2(two color flowers) )+ 3(three color flowers).
= 0.6x + 0.3x + 0.5x -2(0.4x) + 3*0
=1.4x- 0.8x = 0.6x.
Hence, %(only one color flowers)= 60%

Like? Yes (5) | No (5)

(10 years ago)

suppose total flowers in the garden=x
given that
n(r)=.6*x
n(g)=.3*x
n(w)=.5*x
n(r g w)=0 (no of flowers has all the three colors)/here space between consecutive no represents intersection
we know that
n(ruguw)=n(r)+n(g)+n(w)-n(r g)-n(g w)-n(r w)+n(r g w)
so,x=(.6+.3+.5)*x-[n(r g)-n(g w)-n(r w)]+0
so,
x[n(r g)-n(g w)-n(r w)]=1.4*x-x=.4*x
now
//formula (only A)=[n(A)-N(A B)-N(B C)+N(A B C)]

[(only r)+(only g)+(only w)]=[n(r)+n(g)+n(w)]-2*x[n(r g)-n(g w)-n(r w)]+3*n(r g w)
=(1.4*x)-2*(.4*x)+(3*0)
so,
[(only r)+(only g)+(only w)] =.6*x
% of [(only r)+(only g)+(only w)]=((.6*x)/x)*100=60% ans.

Like? Yes (5) | No

to (10 years ago) "Other"

Q. An alloy contains tin and copper in the ratio 4:5. If tin has 20% impurity and copper has 58%, what is the average percent impurity ? WITH EXPLANATION

Reply Like? Yes (13) | No (1)

(10 years ago)

tin = 4/9 , copper = 5/9
impurity in, tin =4/9 *20% = 8/90 , copper = 5/9 *58% = 29/90
total impurity = (8/90 +29/90) = 37/90

% impurity = 37/90 *100 = 41 % approax

Like? Yes (14) | No (5)

(7 years ago)

rakesh how did u take tin as 4/9 and cu 5/9 ?? is it 4+5=9 or any other explanation

Like? Yes (6) | No

(5 years ago)

Let the quantity of tin and copper in the alloy be 4x and 5x, respectively.
Then impurity of tin
= 0.2 × 4x = 0.8x.
and that of copper
= 0.58 × 5x= 2.9x
Total impurity=0.8x + 2.9x = 3.7x

Average impurity percentage
= 3.7x/9x × 100% = 41.1%

Like? Yes (2) | No (1)

(10 years ago) "Other"

Q. An alloy contains tin and copper in the ratio 4:5. If tin has 20% impurity and copper has 58%, what is the average percent impurity ? WITH EXPLANATION

Reply Like? Yes | No

(10 years ago)

Let the quantity of alloy be x.
tin impurity = (0.2*4x)/9 and copper impurity=(0.58*5x)/9.
Total % impurity= {(0.8+2.9)/9}*100%=(3.7*100)/9%=41.11%

Like? Yes | No

(10 years ago) "Other"

Reply Like? Yes (1) | No (1)

(10 years ago) "Other"

Reply Like? Yes | No (1)

(10 years ago) "Other"

Q An insurance collector receives 15% commissions on the premium collected .How much must he collect per week in order that his annual income may be rs.6500/- ? WITH EXPLANATION

Reply Like? Yes | No

(10 years ago) "Other"

Reply Like? Yes (1) | No

(10 years ago) "Other"

Reply Like? Yes | No

(9 years ago)

Boys from maharasthra=20% of B
Boys from Bombay =30% of B
Boys but not frm Bombay =70% of B
Boys frm Maharashtra but not from Bombay =49
=>20B/100*70B/100=49
Total boys B=4900/14=350

Like? Yes | No

(10 years ago) "Other"

Q.I mixed some water in pure milk and the mixture is sold at the cost price of the milk. If I gained 16 ⅔% ,in what ratio did I mix water in the milk ? WITH EXPLANATION

Reply Like? Yes | No

(10 years ago) "Other"

Q. By mixing water a man gains the profit of ((100/9) %). Find the quantity of water mixed by him.
WITH EXPLANATION

Reply Like? Yes (1) | No (1)

(10 years ago) "Other"

Q. If the radius of a circle is decreased by 50%, its area is reduced by ...? WITH EXPLANATION

Reply Like? Yes (2) | No (1)

(10 years ago) "Other"

Q. if the price of wheat be raised by 30% , find by how much percent a house holder must reduce his consumption so as not number increase his expenditure ? WITH EXPLANATION

Reply Like? Yes (2) | No (1)

(10 years ago) "Other"

Q. In an election between two candidates , a candidate who gets 40% of total votes is defeated by 15000 votes. The number of votes polled by the winning candidate is ? WITH EXPLANATION

Reply Like? Yes (2) | No (2)

to (10 years ago) "Other"

Hi..... is the login credential mail from infosys will be sent to selected candidates only? please reply asap. Thanks in advance.

Reply Like? Yes (2) | No (2)

(10 years ago) "Other"

does any1 have aun sharma quant pdf
please send it at himanhsu91@yahoo.com

Reply Like? Yes (2) | No

(10 years ago) "Other"

can any1 send me emids placement paper
email id:faiza.vit@gmail.com

Reply Like? Yes (3) | No

(5 years ago)

send me Emids placement paper pls
devendra.raj.sdm@gmail.com

Like? Yes | No

to (10 years ago) "Other"

hii.............

Reply Like? Yes (3) | No (1)

(10 years ago) "Other"

anyone has verbal resoning of arun sharma pdf format

Reply Like? Yes (1) | No (1)

(10 years ago) "Other"

Q: A contractor employed 30 men to do a piece of work in 38days. After 25days he employed, 5men more and the work was finished one day earlier. How many days he would have been behind if he had not employed additional men? I NEED COMPLETE SOLUTION PLS HELP ME

a) 1 b) 1 1/4 c) 1 3/4 d) 1 1/2

Reply Like? Yes (55) | No (6)

(10 years ago) "Other"

need help on Cryptic Multiplication .

Reply Like? Yes | No

(10 years ago) "Other"

solve ln(e(e(e(.........)^1/2)^1/2)^1/2)^1/2 ?

Reply Like? Yes | No

(10 years ago)

let,
y=ln(e(e(e(.........)^1/2)^1/2)^1/2)^1/2
then
taking anti log both side
e^y=(e(e(e(.........)^1/2)^1/2)^1/2)^1/2
here we see that
e^y=(e.e^y)^1/2
squaring both side
e^2y=e^(y+1)
taking ln both side,we get
2*y=y+1
so,y=1
so value of ln(e(e(e(.........)^1/2)^1/2)^1/2)^1/2=y=1 ans.

Like? Yes (2) | No

(10 years ago) "Other"

@ admin m4maths.com
for the
10 NOV 2014 : Sequence
What is the next number of the following sequence.
9, 7, 7, 9, 13, ....

OPTION1) 13
2) 16
3) 7
4) 21
5) 9
6) 14
7) 10
8) 17
9) 18
10)None of these

here,
Tn = ( n^2 - 5n + 13)

put n = 1,2,3,......

u will get above series

T 6 = 6^2 - 5*6 + 13 = 19

19 is also a answer.

10)None of these

your soln

3^2 = 9 = 9 (sum of digit)
4^2 = 16 = 7 (Sum of digit)
5^2 = 25 = 7 (Sum of digit)
6^2 = 36 = 9 (Sum of digit)
7^2 = 49 = 13 (Sum of digit)
Similarly
8^2 = 64 = 10 (Sum of digit)

Option 7) 10

its also correct, but one or more terms of series should be given for this answer.

Reply Like? Yes (13) | No

(10 years ago)

exactly i m totally agree with u....

Like? Yes | No

(10 years ago) "Other"

Can any friend help me to solve dis series
3,7,10,8,4,12,0,5,5,3,2,5,?????????????

Reply Like? Yes | No

(10 years ago)

Hey Buddy U got the answer in question only.
i think your question is mistaken below is the correct one i guess.
3,7,10,8,4,12,0,5,5,3,2,???
ans: 5
reason:(Divide 3 elements in one group ie 3+7=10,8+4=12,...)

Like? Yes | No

(10 years ago) "Other"

friendss plsss help mee am having infosys drive on 15th pls send me latestt papaers and suggest me the topics to concentrate

Reply Like? Yes | No

(10 years ago) "Other"

friends..i need ur help. i m going for infosys referral drive on 15th bt i dnt knw what should be followed...plz suggest me and share your experience...i desperately need it....

Reply Like? Yes (1) | No

(10 years ago) "Other"

What is the next number of the following sequence
4,7,5,7,6,9,7,13,8,10,9,....?

Reply Like? Yes | No

(10 years ago)

i got answer for this is 9

Like? Yes | No

(10 years ago)

(4,7),(5,7),(6,9),(7,13),(8,10),(9,--)
4 , 4^2 = 16 , 1+6 =7
5 , 5^2 = 25, 2+5 = 7

sum of digit of square of 1st no. of each group is the 2nd no.

9^2 = 81 => 8+1 = 9 .......ans

Like? Yes | No

(10 years ago) "Other"

can any tell me whether hcl technologies drive held in chennai on 5-6/11/14 results have been announced.

Reply Like? Yes (1) | No

(10 years ago) "Other"

Can anyone tell me about the selection process and type of questions asked in optimus information ?

Reply Like? Yes (1) | No

(10 years ago) "Other"

A and B working separately can do a piece of work in 9 and 12 days respectively.If they work for a day alternately, with A beginning , in how many days, the work will be completed?
a: 41/4 days
b:63/8 days
c:83/9 days
d: none of these

Reply Like? Yes | No

(10 years ago)

A: IN 41/4 DAYS THE WRK WL B COMPLETED

Like? Yes (1) | No

(10 years ago)

together they can do the job in 1/D = 1/9 + 1/12 = 7/36
Therefore D=36/7 days
fraction of work completed by them for 5 days each (i.e.,10 days of both together)=(7*5)/36=35/36.
after both done the job for 5 days each work remaining = 1 - (35/36) = 1/36
now the remaining work will be completed by A in = 9*(1/36)=1/4.
Thus, total days = 10 + (1/4) = 41/4.

Like? Yes (1) | No

(10 years ago) "Other"

Can anyone please send hexaware 2014 latest placement paper at mac071092@gmail.com.......

Reply Like? Yes | No

(10 years ago) "Other"

Does any one got log in details for Infosysreferral drive conducted in Hyderabad on 25 Oct, 2014.

Reply Like? Yes | No

(10 years ago)

yes i got it today

Like? Yes | No

(10 years ago)

please tell me any referal drives for infosys in december

Like? Yes | No

(10 years ago) "Other"

Nancy would like to complete all her homework before 10 P.M. in order to watch an important television program. She has 40 - minute assignments in each of the five prepared subjects. What is the latest time at which she can start and still complete her homework in time for the program?

a.6:30 AM
b.6:40 PM
c.7:10 PM
d.7:20 PM

Reply Like? Yes (9) | No (4)

(10 years ago)

She has to spend 40 min on each subject.
40*5= 200 min (3:20 )
Option b6.40

Like? Yes (3) | No (2)

to (10 years ago) "Other"

how should i prepare comp programing for amcat????????
plz suggest me

Reply Like? Yes (2) | No (1)

(10 years ago)

from indiabix and m4maths. it help you.

Like? Yes (1) | No (1)

(10 years ago) "Other"

this question was asked in today puzzle but I got different answer please check it, is there wrong in my answer
Total cost of 1 kg apple, 1 kg grape and 2 kg banana is 210 Rupees. If cost of fruits are in the order as given below
Cost of banana (1kg) =< Cost of grape (1kg) =< Cost of apple (1kg)
and all costs are multiple of 10 Rupee and minimum and maximum cost of any fruit per Kg is ranging from 30 Rupees to 90 Rupees. Number of possible cases are
1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10)10

following are possible cost of banana,grapes,apples respectively
1 case:20,80,90
2 case:30,60,90
3 case:30,70,80
4 case:40,60,70
5 case:40,50,80
6 case:40,40,90
7 case:50,50,60
but they given answer is only 6 first case not there in answer

Reply Like? Yes | No

(10 years ago)

BECAUSE IT RANGES FROM 30RS TO 90RS WHICH IS GIVEN IN THE QUESTION.IN FIRST CASE 20 IS NOT POSSIBLE.

Like? Yes (3) | No

(10 years ago)

Friend I got
1.60,60,90
2.50,70,90
3.40,80,90
4.30,70,90
5.60,70,80
6.50,80,80
7.70,70,70
Correct me ?

Like? Yes | No (2)

(10 years ago)

Hi Friend TIRUPATHY REDDY ,Because 2kgs of banana is given .Divide amount by 2 then the sum must be 210.

Like? Yes (1) | No

(10 years ago)

ok friends thanks you I got it

Like? Yes | No

(10 years ago) "Other"

hi friends...i m 2014 passout , if i will give the Elitmus exam on dec or jan 2015,can i get any call from ACCENTURE or good mncs...if i will give the exam on this months,is this beneficial for me or not !!! .plz suggest me wht to do!

Reply Like? Yes (2) | No

(10 years ago)

beneficial to get software jobs in mncs

Like? Yes (5) | No

(10 years ago)

of course u will get

Like? Yes (3) | No

(9 years ago)

Hi friends i m 2014 passout if i give elitmus in thee month of august 2015 ,can i get any calls...plz tell me what to do....

Like? Yes (3) | No

(10 years ago) "Other"

http://www.azwall.com/2014/11/indian-air-force-iaf-recruitment-2014.html

Reply Like? Yes | No

(10 years ago) "Other"

can any one know the pattern of Infosys written exam?

Reply Like? Yes | No

to (10 years ago) "Other"

To do a piece of work,B takes 3 times as long as A and C together, and C takes twice as long as A and B together .If the three together can complete the work in 10 days , how long would A take by himself ? with explanation

Reply Like? Yes | No

(10 years ago)

Let the time to complete the job by A,B and C is a,b and c each respectively.
Given, b=3*{ac/(a+c)}
and c=2*{ab/(a+b)}
eliminating c, we have 5a=3b.
c=4/5a.
also 1/a + 1/b + 1/c= 1/10.
1/a + 3/5a + 4/5a= 1/10.
Hence, a= 24 days.

Like? Yes (3) | No

to (10 years ago) "Other"

Reply Like? Yes | No

to (10 years ago) "Other"

If A is thrice as good as a workman as B and so takes 60 days less than B for doing a job. find the time in which they can do it together ? with explanation

Reply Like? Yes | No

(10 years ago)

22.5 days

A=B/3 and B-A=60 , So A=30, B=90
Together A & B will complete the job in 1 /[(1/30) + (1/90)]=90/4 =22.5 days

Like? Yes | No

to (10 years ago) "Other"

Rs . 78 is divided among 7 men ,11 women and 5 boys so that each women may have thrice as much as a boy and as much as a man and a boy together . Find the share of a man ? with expLAnation.......

Reply Like? Yes (19) | No (4)

(10 years ago)

7M+11W+5B=78.
W=3B.
W=M+B.
Therefore, 7M+(33/2)M+(5/2)M=78
Hence, M=3.

Like? Yes (15) | No (8)

to (10 years ago) "Other"

Three persons A,B,C rent the grazing of the park for Rs 570. A puts 126 oxen in the park for 3 months , B puts in 162 oxen for 5 months and C puts in 216 oxen in 4 months . what part of rent should B pay ?
I NEED COMPLETE SOLUTION PLZ HELP ME

Reply Like? Yes (2) | No (1)

(10 years ago)

a:b:c=126*3 : 162*5 : 216*4 = 378 : 810 : 864 ,so b=810*570/2052=225
answer is 225

Like? Yes (12) | No

to (10 years ago) "Other"

A can do as much work as C in 2 days and C does in 3 days as much work as B in 4 days.what time B would require to do a work which A can finish in 16 weeks ? I NEED COMPLETE SOLUTION PLZ HELP ME

Reply Like? Yes | No

(10 years ago) "Other"

Reply Like? Yes (93) | No (28)

(9 years ago)

assume 100 units of work, so together they work @ 10 units/day
let A, B, C work @ a,b,c units /day
(a+c) = 3b ....... (i)
(a+b) = 2c ....... (ii)
a+b+c = 10 ..... (iii)

solving the system , we get
a = 25/6, b = 5/2, c = 10/3
----------------------------------------
A will take 100/(25/6) = 24 days
B will take 100/(5/2) = 40 days
C will take 100/(10/3) = 30 days

Like? Yes (84) | No (84)

(8 years ago)

according to question,
1 day work of A,B & C=
A+B+C= 1/10 -(i)
A+C=3B -(ii)
A+B=2C -(iii)
on solving equation (i)&(ii),
we get B=40 days
on solving equation (i)&(iii),
we get C= 30 days
put the value of B & C one day work in equation (i),
A=1/10-1/40-1/30=(12-3-4)/120=5/120=1/24 part of work in one day,
so, to complete the work required day for A = 24 days.

Like? Yes (120) | No (19)

(8 years ago)

B:A+C = 1:3 and C: A:+B = 1:2 that is the efficiency ratio which is inverse of time time taken.
B:A+C can also be written as B/A+C = 1/3
similarly C/A+B =1/2
now adding 1 both sides in both the equations we get
1+B/A+C =1/3 +1 or A+B+C/A+C=4/3 ------1

similarly 1+C/A+B =1/2 +1 or A+B+C/A+B=3/2 ---------2
multiply equation first with 3 and equation 2 with 4 we get
A+B+C=12 & A+C =9
A+B+C=12& A+B=8
means together they are making 12 unit per day and in 10 days they will make 120 units from above we can find B=3 and C=4 and A=5 together they are making 12 units per day
so time taken by A = 120/5 =24 days

Like? Yes (17) | No (12)

(6 years ago)

B works three times as much as A. If B takes 20 days less than A to complete this work. In how many days will A and B together complete the work ?

Like? Yes (16) | No (5)

(10 years ago) "Other"

If A is thrice as good as a workman as B and so takes 60 days less than B for doing a job. find the time in which they can do it together ? with explanation

Reply Like? Yes | No

(10 years ago) "Other"

Rs . 78 is divided among 7 men ,11 women and 5 boys so that each women may have thrice as much as a boy and as much as a man and a boy together . Find the share of a man ? with expalnation.......

Reply Like? Yes | No

(10 years ago)

21 Rs.

If each man, woman & boy has m, w & b Rs. respectively, then
7m+ 11w + 5b= 78 -----(i)
Given, w=3b & w=m+b
Substituting, w=3b in (i), 7m+38b= 78 ----(ii) &
w=m+b in (i), 18m+16b =78 ----(iii)
On solving, (i), (ii) & (iii), m=3, w=4.5, b=1.5
So Total share of a men=7*3= 21 Rs.

Like? Yes (2) | No

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