NDA Mathematics Solved Question Paper 2016 | Previous Year Papers | Zigya

Subject

Mathematics

Class

NDA Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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1.

Let  α and β be the roots of the equation :

x2 - 1 - 2a2x + 1 - 2a2 = 0

Under what condition does the above equation have real roots ?

  • a2 < 12

  • a2 > 12

  • a2  12

  • a2  12


2.

Let  α and β be the roots of the equation :

x2 - 1 - 2a2x + 1 - 2a2 = 0

Under what condition 1α2 + 1β2 < 1 ?

  • a2 < 12

  • a2 > 12

  • a2 > 1

  • a2  13, 12 only


3.

What is 1 + ω21 + ω = ?, where ω is cube root of unity

  • 1

  • ω

  • ω2

  • None of the above


4.

In an examination, 70% students passed in Physics80% students passed in Chemistry, 75% studentpassed in Mathematics and 85% students passed iBiology, and x% students failed in all the four subjectsWhat is the minimum value of x ?

  • 10

  • 12

  • 15

  • None of the above


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5.

For the system of linear equations 2x + 3y + 5z =97x + 3- 2z = 8 and 2x + 3y + λz = μ

Under what condition does the above system of equations have infinitely many solutions ?

  • λ = 5 and μ  9

  • λ = 5 and μ = 9

  • λ = 0 and μ = 5

  • λ = 9 and μ  5


6.

For the system of linear equations 2x + 3y + 5z =97x + 3- 2z = 8 and 2x + 3y + λz = μ

Under what condition does the above system oequations have unique solution ?

  • λ = 5, μ = 9

  • λ = 5 and  μ = 7 only

  • λ  5 and μ has any real value

  • λ has any real value and μ  9


7.

What is the number of odd integers between 100and 9999 with no digit repeated ?

  • 2100

  • 2120

  • 2240

  • None of the above


8.

What is the greatest value of the positive integer satisfying the condition :

1 + 12 + 14 + 18 + ... + 12n - 1 < 2 - 11000 ?

  • 8

  • 9

  • 10

  • 11


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9.

2x2 + 3x - α = 0 has roots 2 and β while the equatiox2 - 3mx + 2m2 = 0 has both roots positive, where > 0 anβ > 0. What is the value of α ?

  • 12

  • 1

  • 2

  • 4


10.

2x2 + 3x - α = 0 has roots 2 and β while the equatiox2 - 3mx + 2m2 = 0 has both roots positive, where > 0 anβ > 0. If β, 2, 2m are in GP, then what is the value of βm ?

  • 1

  • 2

  • 4

  • 6


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