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What should be the value of a, in the polynomials x2 - 11x + a and x2 - 14x + 2a, so that these two polynomials have common factors.A. 24B. 1C. -1D. 1/2
Tomer
- Sep 24th, 2011
X^2-11x+a=0 -eq1
x^2-14x+2a=0 - eq2 subtracting both eq
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0+3x-a=0 i.e 3x-a=0 this is x=a/3
now put the value of x in eq 1
(a/3)^2-11(a/3)+a=0
a=24
putting value of x in eq 2 we will again get a=24prititripathi
- Feb 20th, 2011
Let 2 factor of eq. 1 a an bso a+b=11 n ab=asimmilarly for eq.2 ,2 factor let a n cso a+c=14 n ac=2aon solving we get 24
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One angle of the triangle is 3 times a second angle and third angle is 20degrees more than the second angle. Then the second angle is?
bipurag
- Apr 19th, 2009
First step:let the second angle be:xTherefore the first angle:3xand third angle becomes:x+20Therefore ATQX+3X+X+20=180(As the three side of the angle total is 180)5x=160x=32so,The second angle is 32
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What is the equivalent compound ratio of 5:6::7:10::65
sazz619
- Feb 10th, 2010
Compound ration formula is a:b :: c:d :: e:f = a*c*e : b*d*fSo, 5*7*65/6*10*1=119:3
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What is the value of the following series1/7 + 2/72 + 1/73 +2/74 + 1/75 + ……….
karthisiva
- Dec 22nd, 2010
From the given equation the numbers are sequently incresed by one and decrease by 1 in numerator and in denominator it sequentialy increase by 1.eg: 2/72+1/73+2/74eg72,73,74,75.so the next number is 76and in numntr it incrs by 1therefore the answer is 2/76+1/77+2/78...
Sana
- Aug 31st, 2007
1/7+1*[73^(-1) +.........................+(70+(2n+1))^-1+.......................]+2*[ 72^-1 + ........+(70+(2n))^-1+.................]In the above series,the second term follows H.P with d=2 and a=73....
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A ship started from a port and moving with I mph and another ship started from L and moving with H mph. At which place these two ships meet.
Between I and J and close to J
shikhi
- Jul 23rd, 2007
From the port to the perticular distance is L.
So from simple maths, You can say that if?(I+H) mph distance can cover in 1 hour, then l distace cancover by L/(I+H) hours. -
How to solve questions which involves arthematic operations on alphabets like xxxx yyyy +zzzz====== yxxxz======
SRINIVAS_SRIT
- Jul 18th, 2007
R4 R3 R2 R1 x x x xy y y y+ z z z z-------------------------------...
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) In a circular race track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time on the after the start? a) After 4 s b) After 50 s c) After 100 s d) After 200 s
Arnab Das
- Jun 29th, 2021
LCM(10, 25, 20) is 100, NOT 50
manoj21988
- Aug 5th, 2008
Here considering the same direction they meet for the first time when A overtakes B as well as A overtakes C simultaneously for the first timeThus, A overtakes B every 50 secondsA overtakes C every 4 ...
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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?
Akshaya
- Sep 21st, 2007
Answer is 0.5% bcoz...take n=100?then?memory m=sqrt(100n)=sqrt(10000)=100Increase n by 1% thenn=101?then memory m=sqrt(100n)=sqrt(10100)=100.5then memory will be increased by 0.5%
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The temperature at Mumbai is given by the function: -t2/6+4t+12 where t is the elapsed time since midnight. What is the percentage rise (or fall) in temperature between 5.00PM and 8.00PM?
pravesh28
- Feb 27th, 2010
ans is 16 percentlet T eqals = -t^2/6+4*t+12 ( where t is elapsed time)rate of change in temp. eqals dT/dtdat is -4t^2-36t/(18+4*T)^2here time elapsed is 3putting the value t eqal 3we get 144/900so percentade change(144/900)*100ans 16 percent
Navins
- Sep 6th, 2007
Substitute 5 and 8 in the given equation for 5 you will get 21for 8 you will get 32asked that percentage fall or rise in temper 21/32*100 this will be the answer i.e 65%
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A family, planning a weekend trip, decides to spend not more than a total of 8 hours driving. By leaving early in the morning, they can average 40 miles per hour on the way to their destination. Due to the heavy Sunday traffic, they can average only 30 miles per hour on the return trip. What is the farthest distance from home they can plan to go?(a) 120 miles or less (b) Between 120and 140 miles (c) 140 miles(d) Between 140 and 160 miles (e) 160 miles or more
samir kumar roy
- Jul 7th, 2010
Since in 8 hour they will travel=8*40=320but due to traffic the will travel is 8*30=240 means 80 less than that. so btwn 240
haseeb
- Feb 23rd, 2007
Ans:120-140 miles
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The size of a program is N. And the memoryoccupied 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 ?
Plz any one tell me,how to answer this....
chandradeepika
- May 28th, 2008
M1=sqrt(S1)=sqrt(100N)S2=101%S1=1.01NM2=sqrt(S2)=sqrt(100*(1.01N))=sqrt(101N)% increase is := (((sqrt(101N)-sqrt(100N))/sqrt(100N))*100)=(((sqrt(101)-10)/10)*100)%=((10*sqrt(101))-100)%=((10*10.05)-100)%=(100.5-100)%=0.5%
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600 to be seated. 10 benches are less. 2 more persons are required to be seated in each bench. How many benches.209364460
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Editorial / Best Answer
Answered by: naveengupta
- Jun 26th, 2007
ans is 60 benches
let x=no of benches
y=no of students per bench
given
x*y=600,---------(1)
and given that 10 benches are less hence 2 students are seated more than per bench then
600=(x-10)*(y+2)
600=xy+2x-10y-20------------(2)
since xy=600
then eq(2) is
2x-10y=20
2x-10(600/x)=20
on solving
we get x=60prititripathi
- Feb 25th, 2011
Given a*b=600& (a-10)*(b+2)=600ab-10b+2a-20=600we knw ab=600so 2a-10b=202a-10*600/a=20solve quadratic eq. we get a=60 b=10
SAUREEN ADANI
- Jun 10th, 2010
10*60=60012*50=600it means per bench 10 student requirs 60 benches.but 10 are less so that on 50 benches to accomodate 12 per bench. it means 2 more to be seated on each bench. so the answer is 60.
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Selling a car gains 25% on SP. What %gain on CP?
A) 15b) 25c) 33.33d) 47.5
Nagaiahgari Balaji
- Nov 3rd, 2009
Answer: 33.33%
If suppose sp is 100% (assume)
Then gain % is 25%..
Then subtract it from sp we will get cp i.e 100-25=75%.
We know two basic formulas %gain=(gain/cp)*100 . or %loss=(loss/cp)*100.
So %gain=(25/75)*100=33.33
-Balue
amrittandon88
- Sep 3rd, 2009
Let SP be 100so 25 is the profit nowso 75 is the CPso (25/75)*100=33.33% is the gain on CP
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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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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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Odd One Out
1. Select the odd one out a. Oracle b. Linux c. Ingress d. DB22. Select the odd one out a. WAP b. HTTP c. BAAN d. ARP3. Select the odd one out a. LINUX b. UNIX c. SOLARIS d. SQL SEVER4. Select the odd one out a. SQL b. DB2 c. SYBASE d. HTTP
archie_strider
- Jul 30th, 2010
1. Linux (all other are DBMS)2. BAAN3. SQL SERVER (all other are O.S.)4. HTTP (all other are dbms)
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