Mathematics Test

Result

Mathematics Test - 1

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

A
24

B
36

C
48

D
12

Solution
Question 2
1 / -0

A
π

B
π/3

C
π/2

D
π/4

Solution
Question 3
1 / -0

A
π/4

B
π/3

C
π/2

D
none of these

Solution
Question 4
1 / -0

A
2

B
1

C
√2

D
2√2

Solution
Question 5
1 / -0

A
2

B
2√2

C
4

D
None of these

Solution
Question 6
1 / -0

A
8

B
2

C
4

D
None of these

Solution
Question 7
1 / -0

Let f : R be a differentiable function and f(1) = 4. Find the value of

A
16

B
8

C
4

D
2

Solution
Question 8
1 / -0

A missile fired from the ground level rises x meters vertically upwards in t seconds, where x = 100t - 25/2 t². The maximum height reached is

A
200 m

B
125 m

C
160 m

D
190 m

Solution
Question 9
1 / -0

What does y = x² represent in a 3-dimensional coordinate system?

A
A parabola

B
A cylinder

C
A paraboloid

D
None of these

Solution

y = x2 represent a cylinder in a 3-dimensional coordinate system.
Question 10
1 / -0

If a parallelepiped is formed by planes drawn through the points (5, 8, 10) and (3, 6, 8) parallel to the coordinate planes, then the length of diagonal of the parallelopiped is

A
2√3

B
3√2

C
√2

D
√3

Solution

Given points of the parallelopiped are A ( 5,8,10) and B (3,6,8)
$A B = \sqrt{{(5 - 3)}^{2} + {(6 - 8)}^{2} + (10 = 8^{2})}$ $4 + 4 + 4 = \sqrt[2]{3}$