Which of the following are in continued proportion?

1. 4, 8, 12
2. 5, 15, 25
3. 6, 36, 216
4. 9, 12, 18

Fill in the blanks :

(i) Ratio has …………… unit.

(ii) To convert a ratio a : b in its simplest form, we divide a and b by …………… of a and b.

(iii) If a : b : : b : c, then a, b, c are said to be in …………… proportion.

(iv) If a, b, c are in continued proportion, then c is called the …………… proportional to a and b.

(v) In a proportion, the first and fourth terms are called the …………… .

Ranjan Singh makes statues of brass. Brass is an alloy of copper and zinc. Ranjan uses two varieties of brass for different kinds of statues. Variety 1 contains copper and zinc mixed in the ratio 7 : 4 and variety 2 contains these metals in the ratio 5 : 3. Ranjan makes an elephant statue from variety 1 and a horse statue from variety 2. The elephant statue weighs 176 g and it is known that the brass used in the horse statue contains 135 g zinc.

(1) Find the quantity of copper present in the brass used to make the elephant statue.

1. 98 g
2. 112 g
3. 121 g
4. 132 g

(2) How much copper is contained in the brass used to make the horse statue ?

1. 165 g
2. 175 g
3. 205 g
4. 225 g

(3) How much zinc is contained in the brass used to make the two statues ?

1. 169 g
2. 179 g
3. 189 g
4. 199 g

(4) The ratio of the quantities of copper and zinc used to make the two statues is :

1. 113 : 98
2. 337 : 148
3. 221 : 199
4. 337 : 199