Let A = ahghbfgfc and B = xyz&

Subject

Mathematics

Class

NDA Class 12

Pre Boards

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Sample Papers

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 Multiple Choice QuestionsMultiple Choice Questions

1.

What is the maximum number of points of intersection of 5 non-overlapping circles ?

  • 10

  • 15

  • 20

  • 25


2.

What is the number of ways in which the letters of the word ‘ABLE’ can be arranged So that the Vowels occupy even places ?

  • 2

  • 4

  • 6

  • 8


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3.

Let A = ahghbfgfc and B = xyz then what  is AB = ?

  • ax + hy + gzyz

  • a + b

  • ax + hy + gzhx + by + fzgx + fy +cz

  • ax + hy +gzhz + by + fzgx + fy + cz


C.

ax + hy + gzhx + by + fzgx + fy +cz

A = ahghbfgfc and B = xyz AB = ahghbfgfc xyz     = ax + hy + gzhx + by + fz gx +fy +cz


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4.

What is the value of the determinant ii2i3i4i6i8i9i12i15

  • 0

  •  - 2

  • 4i

  • - 4i


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5.

Let S = {1, 2, 3, ...}. A relation R on S × S is defined by x Ry if loga(x) > loga(y) when a = 12Then the relation is

  • reflexive only

  • symmetric only

  • transitive only

  • both symmetric and transitive


6.

If 1.5 ≤ x ≤ 4.5, then which one of the following is correct ?

  • (2x – 3) (2x – 9) > 0

  • (2x – 3) (2x – 9) < 0

  • (2x – 3) (2x – 9) ≥ 0

  • (2x – 3) (2x – 9) ≤ 0


7.

Let A = x + yy2xx - y, B = 2 - 1 and C = 32 If AB = C, then what is the value of the determinant of the matrix A ?

  •  - 10

  •  - 14

  •  - 24

  •  - 34


8.

If, x = logc (ab), y = loga(bc), z = logb(ca), then which of the following is correct ?

  • xyz = 1

  • x + y + z = 1

  • (1 + x)-1 + (1 + y)-1 + (1 + z)-1 = 1

  • (1 + x)-2 + (1 + y)-2 + (1 + z)-2 = 1


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9.

What is the value of 110log51024 - log510 + 15log53125 ?

  • 0

  • 1

  • 2

  • 3


10.

The number (1101101 + 1011011)2 can be written in decimal system as

  • (198)10

  • (199)10

  • (200)10

  • (201)10


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