Question : Zinc and copper are in the ratio 5 : 3 in 400 gm of an alloy. How much copper (in grams) should be added to make the ratio 5 : 4?
Option 1: 50
Option 2: 66
Option 3: 72
Option 4: 200
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Correct Answer: 50
Solution : Given: Zinc and copper are in the ratio 5 : 3. Zinc in 400 gm of an alloy = $\frac{5}{8}$ × 400 = 250 gm Copper in 400 gm of an alloy = $\frac{3}{8}$ × 400 = 150 gm Let $x$ gm Copper be added for the required ratio. $\frac{250}{150+x}$ = $\frac{5}{4}$ ⇒ $1000$ = $750+5x$ ⇒ $5x$ = 250 ⇒ $x$ = $\frac{250}{5}$ = 50 gm Hence, the correct answer is 50.
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Question : Two alloys consist of copper and tin. The copper-to-tin ratio in the first alloy is 1 : 3, and in the second alloy, it is 2 : 5. What ratio should the two alloys be mixed in to create a new alloy with a tin-to-copper ratio of 8 : 3?
Option 1: 3 : 5
Option 2: 4 : 7
Option 3: 3 : 8
Option 4: 5 : 11
Question : In two alloys, the ratio of Aluminium to Zinc is 5 : 6 and 3 : 5. If 242 kg of the first alloy and 144 kg of the second alloy are mixed, then the ratio of Aluminium and Zinc in the new alloy will be:
Option 1: 76 : 117
Option 2: 82 : 111
Option 3: 93 : 100
Option 4: 68 : 125
Question : A fuse wire is made of
Option 1: An alloy of tin and copper
Option 2: An alloy of tin and lead
Option 3: An alloy of tin and aluminium
Option 4: An alloy of Nickel and Chromium
Question : In a mixture of 178 litres, the ratio of water and milk is 5 : 7. How much water should be added to make the ratio of water and milk 3 : 4?
Option 1: $3 \frac{17}{24}$ litres
Option 2: $3 \frac{13}{24}$ litres
Option 3: $2\frac{11}{24}$ litres
Option 4: $2\frac{23}{24}$ litres
Question : Magnalium is an alloy of
Option 1: Aluminium and Mangnesium
Option 2: magnesium and Tin
Option 3: Aluminium and Zinc
Option 4: Manganese and Magnesium
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