What is your name, Champion?

Just your first name is fine, or a nickname.

Okay Bharath Chakravarthy, let's see how many of these interesting questions you already know the answers to.

A circle with radius “a” is inscribed inside a square as shown. What will be the area of the square?

A
a2
B
2a2
C
4a2
D
8a2

You have 5 balls, equally big, equally heavy - except for one, which is a little heavier. How many times would you need to use a balance scale to ensure that you identify the heavier ball?

A
1
B
2
C
3
D
4

In the figure, calculate the area (in cm2) of the unshaded region.

A
49
B
149
C
154
D
296

A square with perimeter 40 cm is shown in the figure. If you cut the figure along the dotted lines, what will be the new perimeter (in cm) of the shape formed?

A
20
B
30
C
50
D
Will remain unchanged

What fraction of the large equilateral triangle is coloured?

A
1/3
B
2/9
C
1/4
D
7/9

If three chickens lay three eggs in three days, how long does it take three hundred chickens to lay three hundred eggs?

A
1 day
B
3 days
C
300 days
D
Insufficient Information

Which route (on the Earth's surface) covers a shorter distance?

A
Route A
B
Route B
C
They are the same distance
D
Can’t say

As shown in the figure, the block floats with half of it inside the water. If the block is now immersed in oil, the block will have ____.

A
Half portion immersed
B
More than half portion immersed
C
Less than half portion immersed
D
Can’t be said

Pooja's Assessment

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You answered 7/10 questions correctly

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Pooja's performance across sections

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Assessment Summary

Top Skill -
Procedural Thinking, Spatial Understanding, Vocabulary & Grammar
Skills Excelled In -
Procedural Thinking
Need To Work -
Number Sense
Numerical Reasoning -
Ability to deal with mathematical operations
Analytical Reasoning -
Ability to use a rational, systematic series of steps to arrive at a conclusion
Conceptual Understanding -
Ability to understand and grasp ideas in a transferable way over and above numbers and facts
Spatial Reasoning -
Ability to understand space, shape, and relative arrangement of objects
Application -
Ability to apply theoretical ideas in real life situations
Retention -
Ability to recall or retain information ranging from terms and formulae to numbers and facts

Scholarship

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ABCD435240
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  • Q10

Skill: Number Sense

Your answer is incorrect
Congratulations! Your answer is correct

Question 10:

Explanation:

So, area of the square = (2a)2 = 4a2

The unshaded region is basically the two semicircles.

So, area of unshaded region = area of circle = (22/7)*7*7 = 154 cm2

All the cuts add the same length to the boundary as much as they remove.

So, perimeter remains unchanged.

Total smaller triangles = 9

So, coloured part = 2/9

In 3 days, n chickens will always give n eggs.

As oil is less dense than water, the block will have more than half portion immersed.