Question # 1

n! stands for:

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product of first natural numbers

sum of n natural numbers

product of n integers

none of these

If a_n = (n + 1) a_n-1, a₁ = 1, second term of the sequence is:

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3

1

2

4

For a positive integer n:

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(n+1)! = (n+1)n!

(n+1)! = (n+1)(n-1)!

n! = n(n+1)!

none of these

The probability that a number selected from the numbers 1, 2, 3, 4, 5, ......, 16 is a prime number is:

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Sum of all positive integral multiples of 3 less than 100 is:

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950

760

1230

875

The factorial of positive integer is:

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rational no.

positive integer

real no.

none

The next term of the sequence 1, 6, 20, 56, ........ is:

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112

144

212

none

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A.P

G.P

H.P

none

What is the next term in the sequence 10, 7, 4, 1...........?

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2

-2

-3

none of these

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3 ?

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none of these

How many different number can be formed by taking 4 out of the six digits 1, 2, 3, 4, 5, 6:

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360

120

366

none of these

What is the common difference of the sequence 11, 5, -1, ......... ?

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6

-6

none of the foregoing numbers

If ⁿP₂ = 30 then n = :

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5

6

2

3

Number of digits multiple of 5 made from the digits 2, 3, 5, 7, 9 is:

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5

24

20

none

No. of diagonals can be formed by joining the vertices of the polygon having 5 sides ?

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5

15

51

10

A.M between 1 + x - x² and 1 + x + x² is:

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1 + x²

1 + x

2

none

The value of ⁵C₂ is:

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1

10

20

30

G.M between -2i and 8i is:

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4 or -4

4i or -4i

2 or -2

none

In a simultaneous throw of two dice, The probability of getting a total of 7 is:

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In an A.P.a₃ = 12 and a₇ = 32 then d = :

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5

3

7

9

The series 2 + 2 + 2 ..... is:

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divergent

convergent

oscillatory

none of these

What is the general term of the geometric sequence -1, 1, -1, 1 ....... ?

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(-1)ⁿ

(1)ⁿ

(-1)^n-1

none of these

A dice is rolled, the probability of getting a number which is even or greater than 4 is:

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none of these

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