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Principal of Mathematical Induction Set 2

Question - 15 Maximum mark : - 15

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Principal of Mathematical Induction Online Mock Tests
Principal of Mathematical Induction Set 2

1.

If

is exactly divisible by 9 for all

then the least positive integral value of

is

5 ✘ 3 ✘ 7 ✘ 1 ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

2.

For all

equals to

✘

✘

✘

✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

3.

The inequality

is true for

✘

✘

✘ None of these ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

4.

If

then

is true for all

. So, statement

is true for

✘

✘

✘ None of these ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

5.

If

, then

is true

For

✘ For

✘ For

✘ For all

✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

6.

Let

denotes the statement that

is odd. It is seen that

is true for all

✘

✘

✘ None of these ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

7.

The sum to

terms of the series

is

✘

✘

✘

✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

8.

If

, then

is divisible by

113 ✘ 123 ✘ 133 ✘ None of these ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

9.

For natural number

, if

✘

✘

✘ never ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

10.

If

then

is divisible by

6 ✘ 16 ✘ 36 ✘ 24 ✔ NULL ✔ NULL NULL

Answer & Solution Discuss in Board Save for Later

Answer & Solution

Answer: Option B

Solution:

It provides fallback for IE8.

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