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FIBONACCI DAY INTER -COLLEGIATE ONLINE QUIZ COMPETITION

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

Who discovered Fibonacci sequence?

a)

Carf Friedrich

b)

Leonhard Euler

c)

Alan Turing

d)

Leonardo of pisa

2.

The golden ratio (φ) is approximately:

a)

1.414

b)

1.618

c)

2.718

d)

1.732

3.

Fibonacci numbers appear in which of the following?

a)

Pinecones

b)

Spiral galaxies

c)

Sunflower seed patterns

d)

All of the above

4.

The Klein bottle is a surface with:

a)

One side and one edge

b)

Two sides

c)

No sides and no edges

d)

Self-intersection

5.

The closed form of Fibonacci numbers is called:

a)

Euler’s formula

b)

Newton’s identity

c)

Binet’s formula

d)

Leibniz rule

6.

How many zeroes are there in billion?

a)

8

b)

10

c)

9

d)

11

7.

Where is Ramanujan National Park located?

a)

Tamilnadu

b)

Kerala

c)

Andrapradesh

d)

Maharashtra

8.

The Fourier series is applicable for:

a)

Constant functions only

b)

Discontinuous functions also

c)

Only differentiable functions

d)

Only polynomials

9.

Which Day Celebrated as Mathematics Day

a)

Dec 21

b)

Dec 22

c)

Nov 14

d)

Sep 2

10.

Choose the recursive formula for the Fibonacci series. (n >= 1)

a)

F(n) = F(n + 1) + F(n + 2)

b)

F(n) = F(n) + F(n + 1)

c)

F(n) = F(n - 1) + F(n - 2)

d)

F(n) = F(n - 1) - F(n - 2)

11.

Count the number of triangles and squares in the given figure.

a)

20 triangles, 8 squares

b)

22 triangles, 7 squares

c)

21 triangles, 7 squares

d)

18 triangles, 8 squares

12.

Count the number of parallelogram in the given figure

a)

8

b)

11

c)

12

d)

15

13.

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

a)

16 1/2

b)

16

c)

15

d)

14 3/4

14.

Count the number of squares in the given figure.

a)

24

b)

22

c)

20

d)

26

15.

If In the sequence 1=3, 2=3, 3=5, 4=4, 5=4, Then 6=?

a)

2

b)

3

c)

5

d)

-2

16.

A man walks 12 km East, then turns right and walks 5 km. He then turns right again and walks 8 km. Finally, he turns left and walks 5 km. How far is he from the starting point?

a)

10 Km

b)

12km

c)

14km

d)

8 km

17.
a)

26

b)

25

c)

42

d)

56

18.

The ratio of two numbers is 5 : 7. If each number is increased by 20, the ratio becomes 7 : 9. What is the smaller number?

a)

35

b)

30

c)

26

d)

25

19.

If P = ×, Q = ÷, R = +, S = –, then 8 Q 2 R 5 P 3 = ?

a)

17

b)

21

c)

27

d)

19

20.

Find the Solution of x2-5x+6=?

a)

2,3

b)

-2,-3

c)

0

d)

3 only

21.

Find the next number in the sequence

1, 5, 29, ?

a)

196

b)

256

c)

259

d)

324

22.

12÷4×2+32-(9+4)=?

a)

2

b)

4

c)

3

d)

-5

23.

If Jan 2003 is Wednesday, then 31 December 2003 will be ?

a)

Monday

b)

Thursday

c)

Friday

d)

Wednesday

24.

A cube painted yellow on all its faces is then cut into 27 smaller cubes of identical sizes. How many of the 27 small cubes are not painted on any side?

a)

1

b)

0

c)

2

d)

4

25.

How many permutations can be made using the letters of the word "KERALA"?

a)

370

b)

360

c)

720

d)

420