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regarding this conclusion i have doubt "Required function
= W x Wconjugate = |W|2"
when w is in form of (1 ir)
then |W| = |1 ir|
and |W|^2 = |1 ir|^2
= 1 2 * 1 * ir ir^2
= 1 2*ir - r^2
so how it will be equal to (1 r^2) = |W|^2
thnks
Asked by 2 years ago, View All Answers
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If (x – 5)(y 6)(z – 8) = 1331, then the minimum value of x y z is: 1) 40
2) 33
3) 19
4) 45
5) Not unique
Correct Answer: 1 Your Answer: Not Attempted Course: CAT Quantitative Answer Description
The minimum Sum is obtained when (x – 5) = (y 6) = (z – 8) Hence (x – 5) = (y 6) = (z – 8) = 11 => x = 16, y = 5, z = 19 Thus (x y z) = 40
Q20) If x y z = 21, then the maximum value of (x – 6)(y 7) (z – 4) is: 1) 343
2) 216
3) 125
4) 64
5) None of these
Correct Answer: 2 Your Answer: Not Attempted Course: CAT Quantitative Answer Description
(x – 6)(y 7)(z – 4) will be maximum only when (x – 6) = (y 7) = (z – 4) = k (say) for a given value of (x y z) = 21 => x = k 6 => y = k – 7 => z = k 4 x y z = 21 =>(k 6) (k – 7) (k 4) = 21 =>3k 3 = 21 =>k = 6 Therefore, (x – 6).(y 7)(z – 4) = k3 = (6)3 = 216
i didnt understand the answer plz clarifythnx
Asked by 2 years ago , View All Answers
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1. the number of ordered triplets of positive integers which are the solutions of the equation x y z=100 is
a)5081 b)6005 c)4851 d)6273.
2. the number of ways in which Rs 20 can be distriuted among five children such that no one receives than Rs 3 is
a)125 b)126 c)127 d)128.
3. 2nC3 :nC2 =11 :1 then n is
a)5 b)4 c)6 d)8.
4. the number of different words ending and begining with a consonant which can be made out of the letters of the word EQUATION is
a)5200 b)4320 c)1295 d)3000.
5. the number of different words that can be formed out of the letters of the word MORADABAD taken four a time is
a)500 b)600 c)620 d)626.
6. numbers lying between 99 and 1000 can be formed from the digits2,3,7,0,8,6 are
a)100 b)150 c)200 d)250.
7. how many triangles can be drawn through n given points on a cricle?
Asked by 2 years ago, View All Answers
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1. find the number of numbers between 100 to 400 which are divisble by either 2,3,5,or 7.
2.find th enumber of numbers between 300 to 400 which are not divisble by 2,3 ,5 and 7.
find the last digit in the expression( 36472)123! x (3476)76! .
3.how can we determine that m! ,where m is any natural number, is of which form wether 4n or 4n 1 or 4n 2 or 4n 3.
4.find the unit digit in each of following expression
a. 22x44x66x88
b.1x22x33x44x......x100100
c. 37123x43144x57266x32157x525!
Asked by 2 years ago, View All Answers
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in which month exam occure
Asked by 2 years ago , View All Answers
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wat is meaning of ascii code
Asked by 2 years ago, View All Answers
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1) Find all numbers of the form 517xy that are divisible by 89.
2) Find the remainder which 73 75 78 57 197 is divided by 34
a.34
b.30
c.15
d.28
3)Find the remainder when 73x75x78x57x197 is divisible by 34
a.32
c.30
c.15
d.28
4)Find the remainder when 73x75x78x57x197x37 is divided by 34
a.32
b.30
c.15
d.28
5)find the remainder when 43197 is divided by 7
a 2
b 4
c 6
d 1
Asked by 2 years ago , View All Answers
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The least value of n for which the sum of series 5 8 11 ---- n terms is not less than 670 is
a 20
b 19
c 22
d 18
The sum of the numbers from 1 to 100 which are not divisble by 3 and 5 is
a 2946
b 2732
c 2632
d 2317
If all the 6's are eplaced by 9's then the algebric sum of all the numbers from 1 to 100 <both Inclusive > varies by
a 330
b 333
c 219
d 279
Asked by 2 years ago, View All Answers
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1. The number of term common to two terms APs
3,7,11,.....,407 and
2,9,16,.....,709
2. Two persons Ramu and Kalu have joined some work.Ramu and Kalu started with an intial salary of 500/- and 640/- respectively with annual increments of 25/- and 30/- each respectively.In twhich year will Ramu earning more salary than Kalu?
Asked by 2 years ago , View All Answers
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FIND THE NUMBER OF DIVISORS OF 1080 EXCLUDING THE THROUGHOUT DIVISORS,WHICH ARE PERFEST SQAURE.
(a) 28
(b) 29
(c) 30
(d) 31
find the number of divisors of 544excliding 1 and 544
(a)12
(b) 18
(c) 11
(d)10
find the number of divisors 544 which are greater than 3
(a)15
(b)10
(c)12
(d) none
find the sum of divisors of 544 excludingiding 1 and 544
(a)1089
(b)545
(C)589
(d)1134
find the sum of divisors of 544which are perfect square
(a)32
(b)64
(c)42
(d)21
find the sum of odd divisoesof 544
(a)18
(b)34
(c)68
(d)36
find the sum of even divisors of 4096
(a)8192
(b)6144
(c)8190
(d)6142
Asked by 2 years ago, View All Answers
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if (1+x-2x2)6 = 1 + a1x+a2x2+......+a12x12, then the value of
a2 +a4 + a6 +...+a12 is
(a) 1024
(b) 64
(c) 32
(d) 31
2) if 0< a<b<c and the roots x1 and x2 of the equations ax2+bx +c=0 are imaginery then
a. |x1 |=|x2| or |x1|>1
b. |x1|= 1
c. |x2|<1
d. none of these
please explain
Asked by 2 years ago, View All Answers
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