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If the determinant |a+p l+x u+fb+q x+y v...

If the determinant `|a+p l+x u+fb+q x+y v+gc+r n+z w+h|` splits into exactly `K` determinants of order 3, each element of which contains only one term, then the values of `K` is

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If the determinant |(x+a,p+u,l+f),(y+b,q+v,m+g),(z+c,r+w,n+h)| splits into exactly k determinants of order 3, each element of which contains onlyone term, then the value of k is 8.

Each question is based on the following alphabet-series : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Which letter will be sixth to the right of the third letter from the left of the letter which is exactly in the middle of the letters in the series given below ? A B C D E Z Y X W V Q R S T U F G H I J K L M N O P A

Assertion (A) : If every element of a third order determinant of value Delta is multiplied by 5, then the value of the new determinant is 125Delta . Reason (R ) : If k is a scalar and A is an nxxn matrix, then |kA|=k^(n)|A|

Study the following information carefully to answee these questions. M K K I D N E T T Q O B F H A A G T U U X W L S R I Each of the letters gets a numerical value based on its position in the above arrangement, such as, 1 for M, 2 for K, 4 for I and so on. Value of A is exactly equal to the total value of which of the following pairs ? (A) DO (B) QE (C) MH

Study the following information carefully to answee these questions. M K K I D N E T T Q O B F H A A G T U U X W L S R I Each of the letters gets a numerical value based on its position in the above arrangement, such as, 1 for M, 2 for K, 4 for I and so on. The sum of the values of OB is exactly equal to which of the following?

Each of the following question is based on the following alphabet series : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z K L M N O P Q R S Which letter is fourth to the right of the letter immediately to the left of the letter immediately to the left of the letter which is third to the right of the letter immediately to the left of the letter L ?

Given question are based on the given English, alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z If the alphabet is written in the reverse order and every alternate letter starting with Y is dropped, which letter will he exactly in the middle of the remaining letters of the alphabet? 1) M 2) N 3) O 4) M or O 5) None of these

Each of the following questions is based on the following alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z If the alphabet is written in the reverse order and every alternate letter starting with Y is dropped, which letter will be exactly in the middle of the remaining letters of the alphabet?

P, W, Q, X, R, Y, Z and S sit randomly in a circle facing each other based on it 1. Y sits exactly between Q and R 2. P does not sit next to either X or Z 3. Z is to the immediate right of Q . 4. S sits third from the left of X and third to the right of Y X sits between A. R and Q B. W and R C. Q and Y D. S and W

This question is based on the following alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z If the first 5 letters are written in reversed order, then the next five letters are written in reversed order and so on, which is 7th letter to the right of 9th letter from the left? 1) T 2) S 3) P 4) Q 5) None of these

ALLEN-DETERMINANTS-All Questions
  1. If |a a x m m m b x b|=0,\ then x may be equal to- a.a b. b c.a+b d. ...

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  2. The value of the determinant |alphabetalalphax nalphabetax| is indepen...

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  3. If the determinant |a+p l+x u+fb+q x+y v+gc+r n+z w+h| splits into exa...

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  4. The values of lambda for which the system of euations x+y+z=6, x+2y+3z...

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  5. If x , y , z are in A.P. , then the value of the determinant are in A....

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  6. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  7. Comprehension 2 Consider the system of linear equations alphax+y...

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  8. Comprehension 2 Consider the system of linear equations alphax+y...

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  9. Without expanding the determinant prove that: |0b-c-b0a c-a0|=0

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  10. Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

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  11. Prove that: |a^2+2a2a+1 1 2a+1a+2 1 3 3 1|=(a-1)^3 .

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  12. By using properties of determinants. Show that:|1+a^2-b^2 2a b-2b2a b1...

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  13. Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2)dot

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  14. Absolute value of sum of roots of the equation |x+22x+3 3x+4 2x+3 3x+4...

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  15. a+b+c=0, solve for x : [[a-x,c,b],[c,b-x,a],[b,a,c-x]]=0

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  16. Prove that '[[b-c,c-a,a-b],[b'-c'],[c'-a'][a'-b'],[b"-c",c"-a",a"-b"]]...

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  17. If 3 digit numbers A28, 3B9 and 62C are divisible by a fixed constant ...

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  18. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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  19. If Dr=|2^(r-1)2(3^(r-1))4(5^(r-1))x y z2^n-1 3^n-1 5^n-1| then p...

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  20. If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z))...

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