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If a^x=b^y=c^z and b^2=ac then find x+z/xz=?
2/y
mohammed.ziaullah
- Aug 6th, 2010
A^x=b^y=c^z=k(say)then,a=k^(1/x),b=k^(1/y),c=k^(1/z);..........(1)given b^2=ac {K^(1/y)}^2=k^(1/x)*k^(1/z);k^(2/y)=k^(1/x+1/z)2/y=1/x+1/z2/y=x+z/xzhence the answer is 2/y "100% it is correct answer"
darshan029@gmail.com
- Jun 15th, 2007
Let a^x=b^y=c^z=kso, a=k^1/x , b=k^1/y , c=k^1/zb^2=acso, k^(1/y)^2=k^1/x+k^1/z 1/y^2=1/x+1/z 1/y^2=x+z/xzans is 1/y^2
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Coin Puzzle
What is the minimum no of coins of the same size that can be placed on a table so that each coin touches only three, others? All coins must lie flat on the table. What will be the arrangement of the coins?
luckySharms
- Aug 12th, 2010
I belive the answer is 20. 5 sets of four diamonds which when put together form a circle. Hard to eplain without a picture. The each daimond has no space in the middle. Two coin...
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In a office, 30% are supervisors, 40% are male employees, 60% of supervisors are male. Probability that a random chosen employee is a male or a female?
unrealvicky
- Aug 16th, 2010
I would say probability of randomly chosen a male employee is 22% while that of female is 48%. Base on my understanding of the question, let 'x' be the total employee (supervisors and ordina...
rajintouch
- Jan 23rd, 2009
It was clearly mentioned that there are 40% of male employees inthe office....then we can conclude that the answer is "male:female=4:6"
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Low temperature at the night in a city is 1/3 more than 1/2 hinge as higher temperature in a day. Sum of the low temp and high temp is 100 c. then what is the low temp.
40 centigrade
sanjeev.ratn
- Feb 25th, 2008
Let x be the low temp at night..and y be the high temp..in dayfrom the given condition1/2(x)=1/3(y)=:3x=2y----------------------(2)and also given thatx+y=100-------------------(1)from equation 1 and 2 we get. the answer..x=40,so,low temperature is 40 c
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One circular array is given(means memory allocation tales place in circular fashion) diamension(9X7) and sarting add. is 3000,What is the address od (2,3)........ What is the answer? Pls explain to me with steps
tamaldutta000001
- Aug 26th, 2010
I cant draw the pix here so giving the formulaThe address would beB(base add.)+[(i-Row_start)*(Column_limit-Column_start+1)+(j-Column_start)]*width provided that array index start from (1,1). Here i...
vishal
- Nov 30th, 2006
it's a 9x7 int array so it reqiure a 126 bytes for storing.b'ze integer value need 2 byes of memory allocation .and starting add is 3000so starting add of 2x3 will be 3012.
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Bus
A non stop bus to Amritsar overtakes an auto also moving towards Amritsar at 10 am. The bus reaches Amritsar at 12.30 pm and starts on the return journey after 1 hr. On the way back it meets the auto at 2 pm. At what time the auto will reach Amritsar?
santhakumar.mit
- Aug 28th, 2010
Totally bus takes 2.30hrs to reach the Amristar.
So 1/5 of i.e 30 mins reach the one place where it met auto.
That means 4/5 of this travel by bus is 2hrs and auto is 4hrs
so2:4::1/2:x
2/4=1/2x
4x=4
x=1
so auto will reach Amirstar at 1hr.
sreenath91
- Jun 23rd, 2008
let the speed of the bus be x since it meets cycle at 10 and reaches destinantion at 12.30distance from meeting point to destination is 2.5xsince cycle also moves it moves for 4 hourse (from 10-2)let ...
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Counterfeit Coin
In 80 coins 1 coin is counterfeit which is minimum no. of weighings to find out counterfeit coin.
santhakumar.mit
- Aug 28th, 2010
80 coins divided as 27 27 and 26 coins..
then 27 is divided as 9 9 9 or 26 is divided as 9 9 8
then 9 is divided as 3 3 3 or 8 as 3 3 2 and
finally 3 as 1 1 1 or 2 as 1 1
so finally minimum number of weighing required 4
This one is correct one
aniket.par
- Dec 20th, 2009
80 coins divided as 27,27 and 26 coins..then 27 is divided as 9,9,9 or 26 is divided as 9,9,8then 9 is divided as 3,3,3 or 8 as 3,3,2and finally 3 as 1,1,1 or 2 as 1,1so finally minimum number of weighing required= 4
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Tree problem
A tree grows only 3/5 as fast as the one beside it. In four years the combined growth of the two trees is eight feet. How much does the shorter tree grow in two years? (a) Less than 2 feet (b) 2feet (c) 2 1/2 feet (d) 3 feet (e) more than 3 feet.
ga_nesh
- May 25th, 2008
Even after 4 years the ratio remains d same..therefore:x+(3/5)x=8thus x=5therefore the height of the shorter tree is 3 feet after FOUR years..therefore after TWO years the heght will be 1.5 ft..
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Program Memory Occupied
The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied?
santhakumar.mit
- Aug 28th, 2010
NOW N=N+N/100=101N/100M=SR OF 100N=>SO SR OF 100*101/100ans is SR OF 101N
SpandanaMohan
- May 21st, 2008
The memory size depends on the size of the program...If the program size is increased by 1%, then the memory size also changes according to size of the pgm...The new size of the program is n+n/100...and the size of memory is square root of 100(n+n/100)....
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Size of Bucket
The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent?
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Sum of Four Digit Numbers
What is the sum of all the four digit numbers formed using the digits 0, 1, 2 and 3. None of the two digits should be repeated?
Kapil Kapoor
- Aug 27th, 2010
Process of solvingFrom these four digits '0' cannot be at first place to form four digit number so we have 1, 2, or 3 can be at thousand's place keeping one digit at thousand place can have 6 differen...
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Ten boxes are there. Each ball weighs 100 gms. One ball is weighing 90 gms. i) If there are 3 balls (n=3) in each box, how many times will it take to find 90 gms ball? ii) Same question with n=10 iii) Same question with n=9
shekhar mehta
- Sep 2nd, 2010
Answer is 31st divide boxes into 5 5then make choice which one is heavy, neglect that bunch of boxes!2nd now divide lighter group of boxes into 2 2 1 by this we will get which box is lightest.. then...
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There are two square rooms. Both are of same height. The second room is 5m longer than the first room. The rate for papering the walls is 10 paisa per square meter. The total cost for papering the rooms is Rs 60 and Rs 80. What is the height of the rooms?
skumar06cs
- Jul 22nd, 2010
4xh*10=60----14(x+5)h*10=80------2After solving it we get 0.1m....Thanks frnds..
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In a 60 liters of mixture of spirit and water is 7 %. In order to make water 19%, how much water should be added?
opsmca
- Sep 6th, 2010
60*7/100=4.2 liter water right now therenow we assume we consider p liter water to make it 19%so(60+p)*19/100=p+4.2so p=8.8
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Which one of the following has the highest standard deviation....?a 1,0,1,0,1b 1,1,1,1,1c -1,-1,-1,-1,-1
marojuabby
- Sep 6th, 2010
Standard deviation (sum of all terms)/(no of terms)....
so, option b has highest S.D
(1+1+1+1+1)/5 EQUALS TO 1
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Find the Age of Peter
Peter and Paul were friends. After six years Paul wil be twice as old as Peter was when peter was as old as Paul. If sum of their ages is 36 find the age of Peter?
levteck
- Sep 13th, 2010
Peter + Paul = 36in 6 yearsPeter + 2 Peter = 42SoPeter = 14 (in 6 years)So nowPeter = 8andPaul = 22 (36-8)
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Percentage Side Increase
If the area of a square has increased by 60%, by what percentage has its side increased?
levteck
- Sep 13th, 2010
Answer, about 26%square of 10cm by 10cm equal 100cm2for it to increase by 60% then the new size is 160cm2so each side would now be about 12.6cm by 12.6 cm then each side went from 10 to 12.6cm for an increase of about 26%
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Age Ratio
Tanya's grandfather was 8 times older to her 16 years ago. He would be three times of her age 8 years from now. Eight years ago what was ratio of Tanyas age to her grandfather?
levteck
- Sep 13th, 2010
at -16 the ratio is 8at -8 the ratio is ?at 0 the ratio is ?at +8 the ratio is 3so the ratio went down from 8 to 3 (5times) in 3 period of 8 year.i.e. every 8 year is goes down by 5/3so after on...
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Storage Space
The storage space required is given by the function P(N) = 4000 √N, where N is the number of boxes used. Find the percentage change in storage if the number of boxes is increased by 1%.(a) 0.75%
(b) 0.25%
(c) 0.5%
(d) 1%
(e) 2%harshil102
- Sep 14th, 2010
P(N) = 4000 √N.......taking n=16..P(N) = 4000 √16=16000..just assume. increasing n by 1%.....so n=16.16deb p(n)=4000*√16.16=16080....dividing 1680=.099=1so ans is 1
ankursinghlucknow
- Jun 15th, 2010
I guess some ppl have mis-interpreted the question.. well anyways acc. 2 me 1- IF p(n)=4000/n then ans=1%(as solved in above posts) 2- IF p(n)=4000 √n then,% change=(4000 √n - 4000 √...
Aptitude Interview Questions
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