Mathematics Test 161

Result

Mathematics Test 161

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

The value of

(where C is constant of integration)

A

B

C

D

Solution

Divide by x⁶ in numerator and denominator
Question 2
4 / -1

A person is driving the car and the probability that he sees a red signal is 2/3 and green signal is 1/3. The probability that he meet an accident if he crosses the red signal is 1/5 and the probability that he meet an accident if he crosses the green signal is 1/8. Then, the probability that he sees a red signal if he does not meet an accident is

A
64/99

B
32/99

C
8/99

D
35/99

Solution
Question 3
4 / -1

If α, β (β > α) are the roots of g(x) = px² + qx + r = 0 and f(x) is an even function, then is equal to

A

B

C

D

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

Which of the following is true ?

A

B

C

D

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

A
4 / e

B
3 / e

C
2 / e

D
1 / e

Solution
Question 8
4 / -1

Let f : R → R be a function defined by

f(x) = [x + 2] + [x]² – 8 (where [.] denotes GIF)

A
One-one onto

B
Many-one onto

C
One-one into

D
Many-one into

Solution

f(x) = [x] + 2 + [x]² – 8

f(x) = ([x] + 3) ([x] – 2)

Clearly f(x) = 0 for x ∈ [2, 3) many one

Also output of f(x) is always an integer.

⇒ f(x) is into
Question 9
4 / -1

In ΔABC, if c² + a² = 2b², then value of

(Using usual notation)

A
1/3

B
1/2

C
3/2

D
5/2

Solution
Question 10
4 / -1

If the lineequals

A
(4, 8)

B
(–8, 4)

C
(–4, –8)

D
(8, – 4)

Solution