1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Consider the word 'QUESTION' :

How many 8-letter words with or without meaning, can be formed such that consonants and vowels occupy alternate positions?

A
288
B
576
C
1152
D
2304
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Consider the word 'QUESTION' :

How many 8-letter words with or without meaning, can be formed so that all consonants are together?

A
5760
B
2880
C
1440
D
720
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let Δ be the determinant of a matrix A, where A = $\left[\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array}\right]$ and C11, C12, C13 be the cofactors of a11, a12, a13 respectively.

What is the value of a11C11 + a12C12 + a13C13 ?

A
0
B
1
C
Δ
D
−Δ
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let Δ be the determinant of a matrix A, where A = $\left[\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array}\right]$ and C11, C12, C13 be the cofactors of a11, a12, a13 respectively.
What is the value of $a_{21}C_{11}+a_{22}C_{12}+a_{23}C_{13}$?
A
0
B
1
C
Δ
D
−Δ
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