Mathematics Test

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Mathematics Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

The sum to the infinity of the series 1 + 2/3 + 6/3^2 + 10/3^3 + 14/3^4 + ......... is

A

3

B

6

C

4

D

2
Question 2
1 / -0

Questions are Assertion−Reason type questions.

Each of these questions contains two statements : Statement − 1 (Assertion) and Statement−2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice. Statement − 1: For every natural number n ≥ 2, 1/√1 + 1/√2 + .....+ 1/√n > √n. Statement −2: For every natural number n ≥ 2, √n(n+ 1) < n + 1

A

Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1

B

Statement − 1 is true, Statement − 2 is false.

C

Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

D

Statement −1 is false, Statement −2 is true
Question 3
1 / -0

The projections of a vector on the three coordinate axis are 6, - 3, 2 respectively. The directioncosines of the vector are

A

6/5 , -3/5, 2/5

B

6 , -3, 2

C

6/7 , -3/7, 2/7

D

- 6/7 , -3/7, 2/7
Question 4
1 / -0

Questions are Assertion−Reason type questions.

Each of these questions contains two statements : Statement − 1 (Assertion) and Statement−2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.

A

Statement −1 is false, Statement −2 is true

B

Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1

C

Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

D

Statement − 1 is true, Statement − 2 is false.
Question 5
1 / -0

The quadratic equations x^2 – 6x + a = 0 and x^2 – cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

A

2

B

4

C

3

D

1
Question 6
1 / -0

A

Option 1

B

Option 2

C

Option 1 & 2 both

D

None of these
Question 7
1 / -0

The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz−plane at the point(0, 17/2, -13/2). Then

A

a = 2, b = 8

B

a = 6, b = 4

C

a = 4, b = 6

D

a = 8, b = 2
Question 8
1 / -0

A

3/17

B

4/17

C

6/17

D

5/17
Question 9
1 / -0

If the roots of the equation bx^2 + cx + a = 0 be imaginary, then for all real values of x, the expression 3b^2 x^2 + 6bcx + 2c^2 is

A

greater than – 4ab

B

greater than 4ab

C

less than 4ab

D

less than – 4ab
Question 10
1 / -0

Given P(x) = x^4 + ax^3 + bx^2 + cx+ d such that x = 0 is the only real root of P'(x) = 0 . If P(-1) < P(1) , then in the interval [−1, 1]

A

P(−1) is the minimum and P(1) is the maximum of P

B

P(−1) is not minimum but P(1) is the maximum of P

C

P(−1) is the minimum and P(1) is not the maximum of P

D

neither P(−1) is the minimum nor P(1) is the maximum of P

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Re-Attempt Weekly Quiz Competition

Mathematics Test - 16

Result

Mathematics Test - 16

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SHARING IS CARING

Question 1

3

6

4

2

Question 2

Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1

Statement − 1 is true, Statement − 2 is false.

Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

Statement −1 is false, Statement −2 is true

Question 3

6/5 , -3/5, 2/5

6 , -3, 2

6/7 , -3/7, 2/7

- 6/7 , -3/7, 2/7

Question 4

Statement −1 is false, Statement −2 is true

Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1

Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

Statement − 1 is true, Statement − 2 is false.

Question 5

2

4

3

1

Question 6

Option 1

Option 2

Option 1 & 2 both

None of these

Question 7

a = 2, b = 8

a = 6, b = 4

a = 4, b = 6

a = 8, b = 2

Question 8

3/17

4/17

6/17

5/17

Question 9

greater than – 4ab

greater than 4ab

less than 4ab

less than – 4ab

Question 10

P(−1) is the minimum and P(1) is the maximum of P

P(−1) is not minimum but P(1) is the maximum of P

P(−1) is the minimum and P(1) is not the maximum of P

neither P(−1) is the minimum nor P(1) is the maximum of P

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