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- Question
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
Options- A. 10
- B. 20
- C. 21
- D. 25
- Correct Answer
- 21
ExplanationSuppose the can initially contains 7x and 5x of mixtures A and B respectively.Quantity of A in mixture left = ❨ 7x - 7 x 9 ❩ litres = ❨ 7x - 21 ❩ litres. 12 4 Quantity of B in mixture left = ❨ 5x - 5 x 9 ❩ litres = ❨ 5x - 15 ❩ litres. 12 4 ∴ ❨ 7x - 21 ❩ 4 = 7 ❨ 5x - 15 ❩ + 9 4 9 ⟹ 28x - 21 = 7 20x + 21 9 ⟹ 252x - 189 = 140x + 147
⟹ 112x = 336
⟹ x = 3.
So, the can contained 21 litres of A.
More questions
- 1. The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is
Options- A. 41
- B. 21
- C. 42
- D. 84 Discuss
Correct Answer: 42
- 2. The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is
Options- A. 255
- B. 260
- C. 265
- D. 270 Discuss
Correct Answer: 255
- 3. If the sum of squares of two real numbers is 41 and their sum is 9. Then the sum of cubes of these two numbers is
Options- A. 169
- B. 209
- C. 189
- D. 198 Discuss
Correct Answer: 189
- 4. If x+y+z = 1, 1/x + 1/y + 1/z = 1 and xyz = -1, then x3+y3+z3 is equal to
Options- A. -1
- B. 1
- C. -2
- D. 2 Discuss
Correct Answer: 1
- 5. Twenty one times of a positive number is less than its square by 100. The value of the positive number is
Options- A. 25
- B. 26
- C. 42
- D. 41 Discuss
Correct Answer: 25
- 6. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Options- A. 209
- B. 290
- C. 200
- D. 208 Discuss
Correct Answer: 209
Explanation:
We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).
Required number of ways =
= = 209.
- 7. The product of two numbers is 48. If one number equals "The number of wings of a bird plus 2 times the number of fingers on your hand divided by the number of wheels of a Tricycle". Then the other number is
Options- A. 9
- B. 10
- C. 12
- D. 18 Discuss
Correct Answer: 12
- 8. Two numbers whose sum is 84 can not be in the ratio
Options- A. 5:7
- B. 13:8
- C. 1:3
- D. 3:2 Discuss
Correct Answer: 3:2
- 9. If (x+1/x) = 5, then the value of 5xx2+5x+1 ?
Options- A. 1/3
- B. 1/4
- C. 1/2
- D. 1/5 Discuss
Correct Answer: 1/2
- 10. How many natural numbers are there between 1000 to 2000, which when divided by 341 leaves remainder 5?
Options- A. 3
- B. 2
- C. 4
- D. 1 Discuss
Correct Answer: 3
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