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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

1. AB and CD are two chords equidistant from the center. If AB = 6 cm, then CD = ?

(a) 6 cm (b) 3 cm (c) 12 cm (d) None of these

2. The angle in a semicircle is _________________________

(a) A right angle (b) an acute angle (c) an obtuse angle (d) Two right angles

3. Given A = (-7,6), and B = (-3,-2), the midpoint of AB is ________________________

(a) (-5,2) (b) (5,4) (c) (-4,4) (d) (-2,4)

4. The distance of the point (-3,4) from the origin is

(a) 5 units (b) 4 units (c) 3 units (d) 1 unit

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

Hi bobbym,

The solutions 1, 3, and 4 are correct. Well done!

5. The largest value is 98, range is 73, then the smallest value is

(a) 73 (b) 25 (c) 171 (d) None of these

6. The probability of getting two heads when tossing a coin twice is

(a) 1/4 (b) 2/4 (c) 3/4 (d) 1

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,380

hi ganesh,

I interpreted Q2 the same way as bobbym: what is the angle at the circumference when the chord is a diameter?

Don't know why; it's just something in the wording that pushes me that way.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

I did not get that from the question.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

Hi anonimnystefy, bob bundy, and bobbym,

The answer #5 and #6 are correct. Well done!

7. Find the square of 9x[sup]2[/sup]y[sup]4[/sup]z[sup]8[/sup].

(a) 3xy[sup]2[/sup]z[sup]4[/sup]

(b) 3x[sup]2[/sup]y[sup]2[/sup]z[sup]4[/sup]

(c) 9xy[sup]2[/sup]z[sup]4[/sup]

(d} None of these.

8. The greatest common divisor of

is(a) x - 1

(b) x + 1

(c) x[sup]2[/sup] - 1

(d) x[sup]3[/sup] + 1

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

Hi bobbym and anonimnystefy,

The solution #8 is correct. Well done!

9.

__________________(a)

(b)

(c)

(d)

10. Given t[sub]n[/sub] = n[sup]3[/sup] + 1, t[sub]2[/sub] is ______________

(a) 3

(b) 9

(c) 7

(d) 1

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

Hi anonimnystefy and bobbym,

The answers #9 and #10 are correct. Good work!

11. If f(x) = 2x and g(x) = x[sup]2[/sup], f o g (1) is ______________________

(a) 2 (b) 4 (c) 1 (d) 0

12. A point on 3x + 4y < 8 is

(a) (1,1) (b) (2,1) (c) (3,0) (d) (2,4)

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

Hi bobbym,

The answers #11 and #12 are (a). The answer #12 is correct. Good!

13. In a Geometric Progression, t[sub]1[/sub] = 4 and t[sub]2[/sub] = 12, then r = ____________________

(a) 1 (b) 2 (c) 3 (d) 4

14. Given t[sub]n[/sub] = 5n - 2, t[sub]4[/sub] = ________________

(a) 18 (b) 22 (c) 20 (d) None of these

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

Hi bobbym,

The answers #13 and #14 are correct. Well done!

15. The roots of the equation (x - 3)[sup]2[/sup] = 0 are _______________

(a) 3, 3 (b) 3, -3 (c) 3, 0 (d) -3, 0

16. The value of

is ________________(a) x + y (b) x (c) y (d) 1

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

Hi bobbym and anonimnystefy,

The answers #15 and #16 are correct. Well done!

17. In a cyclic quadrilateral ABCD, if angle A = 100°, then angle C = ___________________

(a) 100°

(b) 80°

(c) 50°

(d) 40°

18. Angle in a minor segment is ____________________

(a) > 90°

(b) < 90°

(c) = 90°

(d) None of these

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,403

Hi bobbym and anonimnystefy,

The answers #17 and #18 are

and .Well done!

19. The centroid of the triangle with vertices (0,0), (1,1). and (5,-1) is _____________

(a) (2,0) (b) (0,2) (c) (0,0) (d) (1,1)

20. The equation of the x-axis is ___________

(a) y = 0 (b) x = 0 (c) x = a (d) y = a

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,364

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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