Mathematics Test 108

Result

Mathematics Test 108

Score
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Weekly Quiz Competition

Question 1
4 / -1

are one of the sides and medians respectively, of a triangle through the same vertex, then area of triangle is-

A
√86

B
1/2 √85

C
1/2 √84

D
√80

Solution
Question 2
4 / -1

A
1/2

B
2

C
√3

D
4

Solution
Question 3
4 / -1

The range of values of ‘p’ so that both the roots of the equation (p – 5)x² – 2px + (p – 4) = 0 are positive, one is less than 2 and other is lying between 2 & 3, is

A
(49/4 , 24)

B
(5, ∞)

C
(–∞, 4) U (49/4, ∞)

D
None of these

Solution
Question 4
4 / -1

If square root of then the value of 'a' is -

A
1/2

B
1/3

C
1/4

D
1/5

Solution
Question 5
4 / -1

The negation of

A
p ^ q

B
p → q

C
p → (p ^ q)

D
p ^ (p V q)

Solution
Question 6
4 / -1

An urn contains 3 red, 4 green and certain number of white balls. Two balls are drawn simultaneously and found to be of different colour. If the chance that none of then was a white ball is 2/9, then number of white balls is equal to -

A
3

B
4

C
6

D
8

Solution

Let us define some events

A : 1R & 1G ball is drawn

B : 1R & 1W ball is drawn

C : 1W & 1G ball is drawn

D : 2 balls drawn are of different colour

Let number of white balls = x
Question 7
4 / -1

The numerically greatest term in the expansion of (2x + 5y)³⁴, when x = 3 & y = 2, is

A
T₂₁

B
T₂₂

C
T₂₃

D
T₂₄

Solution
Question 8
4 / -1

Let ƒ : (3, 6) → (4, 7) be a function defined by ƒ(x) = 4x/3 - {x/3} (where {.} denotes the fractional part function), then ƒ^–1(x) is equal to -

A
x + 1

B
x - 1

C
x + {x/3}

D
3x/4 + {x/3}

Solution
Question 9
4 / -1

is equal to, (x ∈ N) -

A
2

B
ℓn2

C
e²

D
1

Solution
Question 10
4 / -1

then number of points, where ƒ(x) is discontinuous is ([.] is greatest integer function)

A
0

B
1

C
2

D
infinite

Solution

is always an integer

⇒ ƒ(x) = tannπ = 0, always continous.