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- Question
A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?
Options- A. 110
- B. 55
- C. 220
- D. 70
- Correct Answer
- 110
- 1. A beaker contains acid and water in the ratio 1 : x. When 300 ml of the mixture and 50 ml of water are mixed, the ratio of acid and water becomes 2 : 5. What is the value of x?
Options- A. 2
- B. 1
- C. 3
- D. 4 Discuss
- 2. A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?
Options- A. 45
- B. 40
- C. 35
- D. 44 Discuss
- 3. An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?
Options- A. 250
- B. 750
- C. 1000
- D. 500 Discuss
- 4. In a colored picture of blue and yellow color, blue and yellow color is used in the ratio of 4:3 respectively. If in upper half, blue : yellow is 2:3, then in the lower half blue : yellow is
Options- A. 1 : 1
- B. 2 : 1
- C. 26 : 9
- D. 9 : 26 Discuss
- 5. There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.
Options- A. 25 Litres
- B. 20 Litres
- C. 35 Litres
- D. 30 Litres Discuss
- 6. If each side of a square is increased by 25%, find the percentage change in its area?
Options- A. 65.25
- B. 56.25
- C. 65
- D. 56 Discuss
- 7. If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.
Options- A. 110
- B. 120
- C. 130
- D. 140 Discuss
- 8. If the radius of a circle is decreased by 50%, find the percentage decrease in its area.
Options- A. 55%
- B. 65%
- C. 75%
- D. 85% Discuss
- 9. The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Options- A. 18
- B. 28
- C. 38
- D. 48 Discuss
- 10. A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is
Options- A. 136
- B. 236
- C. 336
- D. 436 Discuss
Alligation or Mixture problems
Search Results
Correct Answer: 2
Correct Answer: 35
Correct Answer: 500
Correct Answer: 26 : 9
Correct Answer: 30 Litres
Correct Answer: 56.25
Explanation:
let each side of the square be a , then area =
As given that The side is increased by 25%, then
New side = 125a/100 = 5a/4
New area =
Increased area=
Increase %= % = 56.25%
Correct Answer: 120
Explanation:
let length = x and breadth = y then
2(x+y) = 46 => x+y = 23
x²+y² = 17² = 289
now (x+y)² = 23²
=> x²+y²+2xy= 529
=> 289+ 2xy = 529
=> xy = 120
area = xy = 120 sq.cm
Correct Answer: 75%
Explanation:
Let original radius = R.
New radius = =
Original area = and new area =
Decrease in area = = 75%
Correct Answer: 18
Explanation:
(or)
Also,
= 41 + 40 = 81
(l + b) = 9.
Perimeter = 2(l + b) = 18 cm.
Correct Answer: 336
Explanation:
let ABCD be the given parallelogram
area of parallelogram ABCD = 2 x (area of triangle ABC)
now a = 30m, b = 14m and c = 40m
s=1/2 x (30+14+40) = 42
Area of triangle ABC =
= = 168sq m
area of parallelogram ABCD = 2 x 168 = 336 sq m
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