Mathematics Test

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Mathematics Test - 19

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Weekly Quiz Competition

Question 1
1 / -0

The area of the plane region bounded by the curves x + 2y^2 = 0 and x + 3y^2 = 1 is equal to

A

4/3

B

1/3

C

5/3

D

2/3
Question 2
1 / -0

A

option 4

B

Option 3

C

Option 2

D

Option 1
Question 3
1 / -0

The ellipse x^2 + 4y^2 = 4 is inscribed in a rectangle aligned with the coordinate axes, which in turn in inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is

A

x^2 + 12y^2 = 16

B

4x^2 + 64y^2 = 48

C

4x^2 + 48y^2 = 48

D

x^2 + 16y^2 = 16
Question 4
1 / -0

The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y−intercept − 4. Then a possible value of k is

A

− 4

B

− 2

C

1

D

2
Question 5
1 / -0

A

exactly two values of (p, q)

B

more than two but not all values of (p , q)

C

exactly one value of (p, q)

D

all values of (p, q)
Question 6
1 / -0

The statement p → (q → p) is equivalent to

A

p → (p ∨ q)

B

p → (p ↔ q)

C

p → (p ∧ q)

D

p → (p → q)
Question 7
1 / -0

For real x, let f(x) = x^3 + 5x + 1, then

A

f is one-one but not onto R

B

f is one-one and onto R

C

f is onto R but not one-one

D

f is neither one-one nor onto R
Question 8
1 / -0

Questions are Assertion−Reason type questions.

Each of these questionscontains 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.In a shop there are five types of ice-creams available. A child buys six ice-creams.Statement -1: The number of different ways the child can buy the six ice-creams is 10C5.Statement -2: The number of different ways the child can buy the six ice-creams is equal to thenumber of different ways of arranging 6 A’s and 4 B’s in a row.

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 9
1 / -0

How many real solutions does the equation x^7 + 14x^5 + 16x^3 + 30x – 560 = 0 have?

A

1

B

5

C

3

D

7
Question 10
1 / -0

If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C , then

A

B = C

B

A = B

C

A ∩ B = φ

D

A = C

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Re-Attempt Weekly Quiz Competition

Mathematics Test - 19

Result

Mathematics Test - 19

Score

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Rank

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SHARING IS CARING

Question 1

4/3

1/3

5/3

2/3

Question 2

option 4

Option 3

Option 2

Option 1

Question 3

x^2 + 12y^2 = 16

4x^2 + 64y^2 = 48

4x^2 + 48y^2 = 48

x^2 + 16y^2 = 16

Question 4

− 4

− 2

1

2

Question 5

exactly two values of (p, q)

more than two but not all values of (p , q)

exactly one value of (p, q)

all values of (p, q)

Question 6

p → (p ∨ q)

p → (p ↔ q)

p → (p ∧ q)

p → (p → q)

Question 7

f is one-one but not onto R

f is one-one and onto R

f is onto R but not one-one

f is neither one-one nor onto R

Question 8

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 9

1

5

3

7

Question 10

B = C

A = B

A ∩ B = φ

A = C

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