The number of positive odd divisors of 216 is from Mathematics J

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMatch The Following

1.

α, β, γ are the roots of the equation x3 - 10x2 + 7x + 8=0. Match the following and choose the correct answer.

A. α + β + γ           1 - 437B. α2 + β2 + γ2      2 - 78C. 1α + 1β + 1γ       3 86D. αβγ + βγα + γαβ 4 0                                 10

A. A B C D (i) 5 3 1 2
B. A B C D (ii) 4 3 1 2
C. A B C D (iii) 5 3 2 1
D. A B C D (iv) 5 2 3 1

2.

Match the following elements of 1- 100423- 46 with their co-factors and choose the correct answer

     Element         Co-factorA    - 1         1     - 2B        1         2         32C        3         3        4D        6         4        6                      5   - 6

A. A B C D (i) 2 4 1 3
B. A B C D (ii) 2 4 3 1
C. A B C D (iii) 4 2 1 3
D. A B C D (iv) 4 1 2 3

3.

Match the points on the curve 2y2 = x + 1 with the slopes of normals at those points and choose the correct answer.

      Point           Slope of the normal

A    (7, 2)         1 - 42

B    (0, 12)     2  - 8

C    (1, - 1)       3, 4

D    (3, 2)      4, 0

A. A B C D (i) 2 4 3 1
B. A B C D (ii) 2 5 3 1
C. A B C D (iii) 2 3 5 1
D. A B C D (iv) 2 5 1 3

 Multiple Choice QuestionsMultiple Choice Questions

4.

If f : N  Z is defined byf(n) =  2 if n = 3k, k  Z10 if n = 3k + 1,  k  Z  0 if n = 3k + 2, k  ZThen, n  N : fn > 2 is equal to

  • {3, 6, 4}

  • {1, 4, 7}

  • {4, 7}

  • {7}


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5.

The value of 42 + 42 + 42 + ... is equal to

  • 7

  • - 6

  • 5

  • 4


6.

If log27log3x = 13, then the value of x is

  • 3

  • 6

  • 9

  • 27


7.

S1, S3, ...... ,S10 are the speakers in a conference. If Saddresses only after S2,then the number of ways the speakers address iS

  • 10!

  • 9!

  • 10! × 8!

  • 10!2


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8.

The number of positive odd divisors of 216 is

  • 4

  • 6

  • 8

  • 12


A.

4

The factors of 216 = 23 . 33The odd divisors are the multiple of 3 The number of divisors                             = 3 + 1 = 4


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9.

The binomial coefficients which are in decreasing order are

  • 15C5, 15C6, 15C7,

  • 15C10 , 15C9 , 15C8

  • 15C6 , 15C7 , 15C8

  • 15C7 , 15C6 , 15C5


10.

If  x - 4x2 -5x + 6 can be expanded in the ascending power of x, then the coefficient of x3 is

  • - 73648

  • 73648

  • 71648

  • - 71648


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