Mathematics Test

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Mathematics Test - 25

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Weekly Quiz Competition

Question 1
1 / -0

The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is

A

10/3

B

3/5

C

6/5

D

5/3
Question 2
1 / -0

If n is a positive integer, then (√3 + 1 )^2n - (√3 - 1 )^2n is

A

a rational number other than positive integers

B

an even positive integer

C

an irrational number

D

an odd positive integer
Question 3
1 / -0

A

Statement -I is False; Statement -II is True

B

Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I

C

Statement -I is True; Statement -II is False.

D

Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I
Question 4
1 / -0

The equation e^(sin x) – e^(–sin x) – 4 = 0 has

A

exactly one real root

B

exactly four real roots

C

no real roots

D

infinite number of real roots
Question 5
1 / -0

The equation of the circle passing through the foci of the ellipse x^2 /16 + y^2 /9 = 1, and having centre at (0, 3) is

A

x^2 + y^2 - 6y -7 = 0

B

x^2 + y^2 - 6y -5 = 0

C

x^2 + y^2 - 6y + 7 = 0

D

x^2 + y^2 - 6y + 5 = 0
Question 6
1 / -0

Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is

A

3/8

B

1/5

C

1/4

D

2/5
Question 7
1 / -0

Consider :Statement − I : (p ∧ ~ q) ∧ (~ p ∧ q) is a fallacy.Statement − II : (p → q) ↔ (~ q → ~ p) is a tautology.

A

Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I

B

Statement -I is True; Statement -II is False.

C

Statement -I is False; Statement -II is True

D

Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I
Question 8
1 / -0

If f: R → R is a function defined by f(x) = [x] cos [(2x - 1)/2]π, where [x] denotes the greatest integer function, then f is

A

continuous only at x = 0

B

discontinuous only at non-zero integral values of x

C

discontinuous only at x = 0

D

continuous for every real x
Question 9
1 / -0

If the lines (x - 1)/2 = (y + 1)/3 = (z - 1)/4 and (x - 3)/1 = (y - k)/2 = z/1 intersect, then k is equal to

A

9/2

B

2/9

C

–1

D

0
Question 10
1 / -0

A

Option 2

B

Option 3

C

Option 1

D

Option 4

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Re-Attempt Weekly Quiz Competition

Mathematics Test - 25

Result

Mathematics Test - 25

Score

-

Rank

-

SHARING IS CARING

Question 1

10/3

3/5

6/5

5/3

Question 2

a rational number other than positive integers

an even positive integer

an irrational number

an odd positive integer

Question 3

Statement -I is False; Statement -II is True

Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I

Statement -I is True; Statement -II is False.

Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I

Question 4

exactly one real root

exactly four real roots

no real roots

infinite number of real roots

Question 5

x^2 + y^2 - 6y -7 = 0

x^2 + y^2 - 6y -5 = 0

x^2 + y^2 - 6y + 7 = 0

x^2 + y^2 - 6y + 5 = 0

Question 6

3/8

1/5

1/4

2/5

Question 7

Statement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I

Statement -I is True; Statement -II is False.

Statement -I is False; Statement -II is True

Statement -I is True; Statement -II is True; Statement-II is a correct explanation for Statement-I

Question 8

continuous only at x = 0

discontinuous only at non-zero integral values of x

discontinuous only at x = 0

continuous for every real x

Question 9

9/2

2/9

–1

0

Question 10

Option 2

Option 3

Option 1

Option 4

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