Mathematics Test

Result

Mathematics Test - 18

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

A

Option 4

B

Option 3

C

Option 2

D

Option 1
Question 2
1 / -0

Let y be an implicit function of x defined by x^2x - 2x^x cot y - 1 = 0. Then y'(1) equals

A

1

B

log 2

C

– 1

D

– log 2
Question 3
1 / -0

If the straight lines (x - 1)/k = (y - 2)/2 = (Z - 3)/3 and (x - 2)/3 = (y - 3)/k = (Z - 1)/2 intersect at a point, then the integer k is equal to

A

− 5

B

2

C

− 2

D

5
Question 4
1 / -0

The lines p(p^2 + 1)x - y + q = 0 and (p^2 + 1)^2 x + (p^2 + 1)y + 2q = 0 are perpendicular to a common line for

A

more than two values of p

B

exactly one value of p

C

exactly two values of p

D

no value of p
Question 5
1 / -0

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

A

a = 3, b = 4

B

a = 5, b = 2

C

a = 1, b = 6

D

a = 0, b = 7
Question 6
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.Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number”, and r be the statement “x is a rational number iff y is a transcendental number”.Statement –1: r is equivalent to either q or p.Statement –2: r is equivalent to ∼ (p ↔ ∼ q).

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

C

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

D

Statement −1 is false, Statement −2 is true
Question 7
1 / -0

If P and Q are the points of intersection of the circles x^2 + y^2 + 3x + 7y + 2p - 5 = 0 and x^2 + y^2 + 2x + 2y - p^2 = 0 , then there is a circle passing through P, Q and (1, 1) for

A

all values of p

B

all except two values of p

C

all except one value of p

D

exactly one value of p
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.Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr (A), the sum of diagonal entries of A. Assume that A^2 = I.Statement −1: If A ≠ I and A ≠ − I, then det A = − 1.Statement −2: If A ≠ I and A ≠ − I, then tr (A) ≠ 0.

A

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

B

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

C

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

D

Statement −1 is false, Statement −2 is true.
Question 9
1 / -0

A

f is differentiable at x = 0 but not at x = 1

B

f is neither differentiable at x = 0 nor at x = 1

C

f is differentiable at x = 1 but not at x = 0

D

f is differentiable at x = 0 and at x = 1
Question 10
1 / -0

Suppose the cube x^3 – px + q has three distinct real roots where p > 0 and q > 0. Then which one of the following holds?

A

The cubic has minima at √(P/3) and maxima at – √(P/3)

B

The cubic has minima at – √(P/3) and maxima at √(P/3)

C

The cubic has minima at both √(P/3) and –√(P/3)

D

The cubic has maxima at both √(P/3) and –√(P/3)

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Mathematics Test - 18

Result

Mathematics Test - 18

Score

-

Rank

-

SHARING IS CARING

Question 1

Option 4

Option 3

Option 2

Option 1

Question 2

1

log 2

– 1

– log 2

Question 3

− 5

2

− 2

5

Question 4

more than two values of p

exactly one value of p

exactly two values of p

no value of p

Question 5

a = 3, b = 4

a = 5, b = 2

a = 1, b = 6

a = 0, b = 7

Question 6

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.

Statement −1 is false, Statement −2 is true

Question 7

all values of p

all except two values of p

all except one value of p

exactly one value of p

Question 8

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

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

Question 9

f is differentiable at x = 0 but not at x = 1

f is neither differentiable at x = 0 nor at x = 1

f is differentiable at x = 1 but not at x = 0

f is differentiable at x = 0 and at x = 1

Question 10

The cubic has minima at √(P/3) and maxima at – √(P/3)

The cubic has minima at – √(P/3) and maxima at √(P/3)

The cubic has minima at both √(P/3) and –√(P/3)

The cubic has maxima at both √(P/3) and –√(P/3)

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.