Mathematics Test 73

Result

Mathematics Test 73

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

If a complex number z satisfies the equation z + √2 | z +1| + i = 0 , then |z| is equal to:

A
2

B
√3

C
√5

D
1
Question 2
4 / -1

If a circle C passing through (4, 0) touches the circle x² + y² + 4x – 6y – 12 = 0 externally at a point (1, –1), then the radius of the circle C is:

A
5

B
2√5

C
4

D
√57
Question 3
4 / -1

Given two independent events, if the probability that exactly one of them occurs is 26/49 and the probability that none of them occurs is 15/49, then the probability of more probable of the two events is:

A
4/7

B
6/7

C
3/7

D
5/7
Question 4
4 / -1

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

A
p → q

B
p → (p v q)

C
p → (p → q)

D
p → (p ∧ q)
Question 5
4 / -1

The maximum area of a right-angled triangle with hypotenuse h is:

A
h²/2√2

B
h²/ 2

C
h⁴/ √2

D
h⁴/ 2