Mathematical Ability Test-7

Result

Mathematical Ability Test-7

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Weekly Quiz Competition

Question 1
1 / -0

Angle of elevation of to the top of a tower from top and bottom of a building are 30^∘ and 45^∘ respectively. If a man standing at bottom of the building walk 7.32 meter towards tower angle of elevation become 60^∘ what is the height of the building?

A
8.32 meter

B
7.32 meter

C
10.78 meter

D
11.35 meter

Solution
Question 2
1 / -0

If A and B are two events such that P(A ∪ B) = 5/6 , P(A ∩ B) = 1/3, P(B) = 1/2, then the events A and B are:

A
Dependent

B
Independent

C
Mutually exclusive

D
Mutually exhaustive

Solution
Question 3
1 / -0

A
9/68

B
3/17

C
3/34

D
9/17

Solution
Question 4
1 / -0

A

B

C

D

Solution
Question 5
1 / -0

A person crosses a 455-meter long distance in 35 minutes. What is his speed in km/hr?

A
0.52

B
0.95

C
0.62

D
0.78

Solution
Question 6
1 / -0

If the angles of elevation of a tower from two points distance a and b(a > b) from its foot and in the same straight line from it are 30^∘ and 60^∘, then the height of the tower is?

A

B

C

D

Solution

Let AB be the tower and P and Q are such points that PB = a, QB = b and angles of elevation at P and Q are 30° and 60° respectively.
Question 7
1 / -0

The equation of sphere is x²+ y²+ z²− x + z − 2 = 0, its radius is:

A
√5/2

B

C
5/√2

D
5

Solution
Question 8
1 / -0

A cylinder is made by rolling a rectangle about its breadth. The breadth and length of the rectangle are 7 meters and 11 meters respectively. Find the volume of the created cylinder?

A
363/7

B
343/11

C
343/8

D
343/4

Solution

The cylinder is made by a rolling rectangle, so a circle will be created having a circumference equal to the breadth of the rectangle.
Question 9
1 / -0

If (4 sin ⁡θ + 3 cos ⁡θ)²− (2 sin ⁡θ + cos⁡ θ)²= 20, then, what is the value of tan⁡ θ?

A

B

C

D

Solution
Question 10
1 / -0

The angle of elevation of the top of a tower from a certain point is 30^∘. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15^∘. The height of the tower is:

A
64.2 m

B
62.2 m

C
52.2 m

D
54.2 m

Solution

Let DC be the tower and A and B be the positions of the observer such that AB = 40 m

We have ∠DAC = 30°, ∠DBC = 45°

Let DC = h