@Budokai001 said:If 1/x + 1/y = 1/18 with x & y are positive integers.How many pairs of (x,y) exists?Dont have OA yettry it out guys
15
no. of factors in 18^2=3^4*2^2=(4+1)(2+1)=15
What is the LCM of 2.5,0.5,0.175 ?
Answer -> 17.5
What the procedure??
@Budokai001 said:If 1/x + 1/y = 1/18 with x & y are positive integers.How many pairs of (x,y) exists?Dont have OA yettry it out guys
18x=xy-18y
18x-18^2+18^2=y(x-18)
(y-18)(x-18)=18^2
Possible pairs=No of factors of (2^1*3^2)^2=(2+1)(4+1)= 15.
18x-18^2+18^2=y(x-18)
(y-18)(x-18)=18^2
Possible pairs=No of factors of (2^1*3^2)^2=(2+1)(4+1)= 15.
@mohnish_khiani said:What is the LCM of 2.5,0.5,0.175 ?Answer -> 17.5What the procedure??
numbers are 25/10, 5/10, 175/10
LCM= LCM of num/HCF of deno = (5*5*7)/(5*2)=7*5/2=17.5
LCM= LCM of num/HCF of deno = (5*5*7)/(5*2)=7*5/2=17.5
@htomar said:If Sn denotes the sum of the first n terms in an Arithmetic Progression and S1 : S4 = 1 : 10 then the ratio of first term to fourth term is1) 1 : 3 2) 2 : 3 3) 1 : 44) 1 : 5
To find 1/(a/a+3d)= 1/(1+3d/a);
a/(2a+3d)=2/10
2+3d/a=5
1+3d/a=4
1/(1+3d/a)=1:4
a/(2a+3d)=2/10
2+3d/a=5
1+3d/a=4
1/(1+3d/a)=1:4
The ratio of the cost price and the marked price of an article is 2:3 and ratio of the percentage profit to percentage profit and percentage discount is 3:2 . What is the discount percentage?
Answer is 16.66%. Can someone as to how to go about solving this?
@ananthchief said:The ratio of the cost price and the marked price of an article is 2:3 and ratio of the percentage profit to percentage profit and percentage discount is 3:2 . What is the discount percentage?Answer is 16.66%. Can someone as to how to go about solving this?
let CP and MP be 2x and 3x.
now given that CP+P=MP-D
hence P+D=x------(1)
also %profit:%discount = 3:2
hence P/CP: D/MP= 3:2
means P/2x: D/3x=3:2
hence P=D----(2)
substituting in (1)
we get P=D=x/2
now discount %= D*100/MP
hence discount %= x*100/2*3x== 16.66%
@gupanki2 said:At a certain stationery store, only 4 varities of pen and 4 varities of pencils are sold. the price of one of each of the 4 varities of pen is Rs 45. The price of a set of each of the four varities of pencil is Rs 12. The price of the cheapest pencil is Rs 1 and the combined price of 3 of the varities of pens are exactly twice the combined price of the other 3 varities of pencils. What is price of the costliest variety of pen?
Pn1,Pn2,Pn3,Pn4
Pl1.Pl2,Pl3,Pl4
Pn1=45
Pl1=1
Pl2,Pl3,Pl4=11
Pn2,Pn3,Pn4=22
Pn1 =45 is costliest
@ananthchief said:The ratio of the cost price and the marked price of an article is 2:3 and ratio of the percentage profit to percentage profit and percentage discount is 3:2 . What is the discount percentage?Answer is 16.66%. Can someone as to how to go about solving this?
C/M = 2/3
{(S - C)/C} / {(M - S)/M} = 3/2
2S/C - 2 = 3 - 3S/M
3S/M + 2S/C = 5
2S/C + 2S/C = 5
4S/C = 5
S/C = 5/4 = 1.25
S = 1.25C
M = 1.5C
(M - S)/M = 0.25C/1.5C = 1/6 = 16.66%
{(S - C)/C} / {(M - S)/M} = 3/2
2S/C - 2 = 3 - 3S/M
3S/M + 2S/C = 5
2S/C + 2S/C = 5
4S/C = 5
S/C = 5/4 = 1.25
S = 1.25C
M = 1.5C
(M - S)/M = 0.25C/1.5C = 1/6 = 16.66%
@ananthchief said:The ratio of the cost price and the marked price of an article is 2:3 and ratio of the percentage profit to percentage profit and percentage discount is 3:2 . What is the discount percentage?Answer is 16.66%. Can someone as to how to go about solving this?
cp/mp =2/3
then let us assume cp=2k and mp=3k
now profit%/discount% = 3/2
(sp-cp/cp) / (mp-sp/mp) = 3/2
now put cp=2k and mp=3k
we will get sp=2.5k
then discount% =( 0.5k/3k)*100=16.66%
@htomar said:If Sn denotes the sum of the first n terms in an Arithmetic Progression and S1 : S4 = 1 : 10 then the ratio of first term to fourth term is1) 1 : 3 2) 2 : 3 3) 1 : 44) 1 : 5
S1/S4 =1/10
a/2(2a +3d) = 1/10 {using S(n) = n/2*(2a +(n-1)d)}
on solving a=d
hence a1/a4 = 1/4
@wovfactorAPS : The metro service has a train going from Mumbai
to Pune and Pune to Mumbai every hour. The first one at 6
a.m. The trip from one city to another takes 4.5 hours, and
all trains travel at the same speed. How many trains will
pass while going from Mumbai to Pune, if you start at 12
noon?
(C) 9
to Pune and Pune to Mumbai every hour. The first one at 6
a.m. The trip from one city to another takes 4.5 hours, and
all trains travel at the same speed. How many trains will
pass while going from Mumbai to Pune, if you start at 12
noon?
(C) 9
@testBasu said:@wovfactorAPS : The metro service has a train going from Mumbaito Pune and Pune to Mumbai every hour. The first one at 6a.m. The trip from one city to another takes 4.5 hours, andall trains travel at the same speed. How many trains willpass while going from Mumbai to Pune, if you start at 12noon?(C) 9
answer is given as 13 but iam getting a different answer but i think its definitely more than 9
@rkshtsurana said:@anytomdickandharya , b , c are non negative real no. such that a>b>c and a+b+c then find the range of a^2 + 3 b^2 + 5 c^2
(0,1)
@htomar said:ABCD is a rectangle with AD = 10. P is a point onBC such that ˆ APD = 90 °. If DP = 8 then thelength of BP is ___?A. 6.4 B. 5.2C. 4.8 D. 3.6E. None of the above
3.6
@htomar said:If Sn denotes the sum of the first n terms in an Arithmetic Progression and S1 : S4 = 1 : 10 then the ratio of first term to fourth term is1) 1 : 3 2) 2 : 3 3) 1 : 44) 1 : 5
a/2*(2a+3)=1/10)
6a=6
a=1
a4=4
1:4
@gupanki2 said:At a certain stationery store, only 4 varities of pen and 4 varities of pencils are sold. the price of one of each of the 4 varities of pen is Rs 45. The price of a set of each of the four varities of pencil is Rs 12. The price of the cheapest pencil is Rs 1 and the combined price of 3 of the varities of pens are exactly twice the combined price of the other 3 varities of pencils. What is price of the costliest variety of pen?
pen(1+2+3+4) = 45
pencil(1+2+3+4) = 12
pencil(1) = 1
so pencil(1+2+3) = 11
now sum of any three varieties of pen(1+2+3) = 2*11=22
so cost of fourth pen pen(4) = 23.
pencil(1+2+3+4) = 12
pencil(1) = 1
so pencil(1+2+3) = 11
now sum of any three varieties of pen(1+2+3) = 2*11=22
so cost of fourth pen pen(4) = 23.
@rachit_28 said:15.The seven-digit number 1468 x 8y is divisible by 4. Find the probability that it is also divisible by 9.1/152/151/54/15i am getting the cases like for y = 0, x= 0 or 9for y = 4, x = 5for y = 8, x=1 but unable to proceed further.
4/30
@wovfactorAPS said:answer is given as 13 but iam getting a different answer but i think its definitely more than 9
please elaborate, how are u getting more than 9
A dealer gives as much discount (in percent) as the markup(in percent) is above the cost price. What is the markup percentage when the loss in percentage when the loss in percentage be half of the percentage markup?
Answer is 50%