Fill the number puzzle.

Left to Right

(a) 5 as base 5 (2sq)

(b) 31 in base 5 (3)

(e) 38 in base 5 (3)

(f) 15 in base 5 (2)

(g) 106 in base 5 (3)

(i) 7 in base 5 (3)

(k) 9 in base 5 (2)

Down

(a) 26 in base 5 (3 sq)

(c) 25 in base 5 (3)

(d) 69 in base 5 (3)

(f) 16 in base 5 (2)

(h) 44 in base 5 (3)

(i) 8 in base 5 (2)

(j) 24 in base 5 (2)

^a1

0

^b

^c

^d

^e

^f

^g

^h

ⁱ

^j

^k

Open in App

Solution

Left to Right

(b) 31 = 1 × 5² + 1 × 5¹+ 1 ×5⁰ = 111₍₅₎

(e) 38 =1 × 5² + 2 × 5¹+ 3 ×5⁰ = 123₍₅₎

(f) 15 = 3 × 5¹+ 1 ×5⁰ = 30₍₅₎

(g) 106 = 4 × 5² + 1 × 5¹+ 1 × 5⁰ = 411₍₅₎

(i) 7 = 1 × 5¹+ 2 × 5⁰ = 12₍₅₎

(k) 9 = 1 × 5¹+ 4 × 5⁰ = 14₍₅₎

Down

(a) 26 = 1 × 5² + 0 × 5¹+ 1 × 5⁰ = 101₍₅₎

(c) 25 = 1 × 5² + 0 × 5¹+ 0 × 5⁰ = 100₍₅₎

(d) 69 = 2 × 5² + 3 × 5¹+ 4 × 5⁰ = 234₍₅₎

(f) 16 = 3 × 5¹+ 1 × 5⁰ = 31₍₅₎

(h) 44 = 1 × 5² + 3 × 5¹+ 4 × 5⁰ = 134₍₅₎

(i) 8 = 1 × 5¹+ 3 ×5⁰ = 13₍₅₎

(j) 24 = 4 × 5¹+ 4 × 5⁰ = 44₍₅₎

Therefore, the solution of the puzzle is

a

1

0

b

1

1

c

1

0

d

2

0

e

1

2

3

f

3

0

g

4

h

1

1

i

1

2

3

j

4

3

k

1

4

4

Suggest Corrections

Similar questions

Observe the following figures and write the same in base 2 system by grouping.

Example:

Complete the cross word puzzle.

(1) Left to Right

Example:

(a) 5 in base 2 (3 sq)

(b) 7 in base 2 (3)

(d) 12 in base 2 (4)

(e) 8 in base 2 (4)

(f) 4 in base 2 (3)

(i) 13 in base 2 (4)

(2) Down

(a) 15 in base 2 (4 sq)

(e) 14 in base 2 (4)

(f) 2 in base 2 (2)

(g) 3 in vase 2 (2)

(h) 11 in base 2 (4)

(i) 6 in base 2 (3)

^a1	0	^g1		^b		^e
			^d

		^e
					^h
			ⁱ
^f

A mixture of paint is prepared by mixing $1$ part of red pigments with $8$ parts of the base. In the following table, find the parts of the base that need to be added.

$\begin{matrix} Parts of red pigment & 1 & 4 & 7 & 12 & 20 Parts of base & 8 & . . . & . . . & . . . & . . . \end{matrix}$

Q. Construct a weighted index number of the following data using price relative method:

Item	A	B	C	D	E
Base Year (Quantity)	24	14	8	4	8
Base Year (Price)	2	4	6	10	5
Current Year (Price)	3	5	9	12	5

Identify the organisms and mention their classification based on their mode of nutrition. [5 MARKS]

Join BYJU'S Learning Program