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

Assertion: If we divide ₹ 1250 between Dinesh and Anmol in the ratio 3 : 7, then the difference between their shares is ₹ 500.

Reason: Ratio is a fraction. It has no units.

1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
3. Assertion (A) is true but Reason (R) is false.
4. Assertion (A) is false but Reason (R) is true.