Mathematics Test 128

Result

Mathematics Test 128

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Weekly Quiz Competition

Question 1
4 / -1

A bag contains a white and b black balls. Two players A and B alternately draw a ball from the bag replacing the ball each time after the draw till one of them draws a white ball and wins the game. A begins the game. If the probability of A winning the game is three times that of B, then the ratio a : b is

A
1 : 1

B
1 : 2

C
2 : 1

D
None of these

Solution

w → drawing white ball at any draw and B that for a black ball

then
Question 2
4 / -1

If Z is the set of integers. Then, the relation R= {(a, b) :1+ ab > 0} on Z is

A
reflexive and transitive but not symmetric.

B
symmetric and transitive but not reflexive.

C
reflexive and symmetric but not transitive.

D
an equivalence relation.

Solution
Question 3
4 / -1

Direction: Question is Assertion-Reason type question. These question contains two statements: Statement I (Assertion) and Statement II (Reason). These question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice in the cedes (a), (b), (c) and (d) in the given below:

Statement I:

Staement II: |x| is non- differential at x = 0

A
Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I.

B
Statement I is true. Statement II is false.

C
Statement 1 is false.Statement II is true.

D
Statement I is true. Statement II is true; Statement II is not a correct explanation for Statement I.

Solution
Question 4
4 / -1

For any two real numbers θ and ϕ, we define θRϕ , if and only if sec² θ - tan²ϕ =1. The relation R is

A
reflexive but not transitive

B
symmetric but not reflexive

C
both reflexive and symmetric but not transitive

D
an equivalence relation

Solution
Question 5
4 / -1

Question is Assertion-Reason type question. These question contains two statements: Statement I (Assertion) and Statement II (Reason).

These question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice in the cedes (a), (b), (c) and (d) in the given below:

A
Statement I is true. Statement II is true; Statement B is not a correct explanation for Statement I.

B
Statement I is true. Statement II is false.

C
Statement 1 is false. Statement S is true.

D
Statement I is true, Statement H is true; Statement H is a correct explanation for Statement I.

Solution
Question 6
4 / -1

The value of

A
2

B
1

C
1/2

D
0

Solution
Question 7
4 / -1

the value of

A
0

B
1/2

C
3/2

D
1

Solution
Question 8
4 / -1

if n≥ 2 is an integer and I is the identity matrix of order 3. then

A
Aⁿ = I and A^n-1 ≠ 1

B
A^m ≠ I for any positive integer m

C
A is not invertible

D
A^m = 0 for a positive integer m

Solution
Question 9
4 / -1

A

B

C

D
None of the above

Solution
Question 10
4 / -1

The number of real solutions of the equation 2^x/2+(√2+1)^x=(5+2√2)^x/2is

A
2

B
1

C
4

D
infinite

Solution