Discussion
Home ‣ Aptitude ‣ Decimal Fraction See What Others Are Saying!
- Question
- Sum of three fractions is 2 11/ 24. If the greatest fraction is divided by the smallest fraction, the result is 7/6, which is greater than the middle fraction by 1/3. find all the three fractions?
Options- A. 3/5, 4/7, 2/3
- B. 7/8, 5/6, 3/4
- C. 7/9, 2/3, 3/5
- D. 7/8, 7/9, 7/10
- Correct Answer
- 7/8, 5/6, 3/4
ExplanationLet the fraction be x, y and z respectively in decreasing order.
Then, according to the question,
x/z = 7/6
? x = 7z/6
And y = 7/6 - 1/3 = 7-2/6 = 5/6
Now, x + y + z = 211/24
? 7z/6 + 5/6 + z = 59/24
? (13z + 5)/ 6 = 59/24
? 13z = 59/4 - 5 =39/4
? z = 3/4
? x =7z/6 = 7/8
Hence, the fraction are 7/8, 5/6, 3/4. - 1. The age of a father 10 years ago was thrice the age his son. Ten years later, the father's age will be twice that of his son. The ratio of their present ages is?
Options- A. 8 : 5
- B. 7 : 3
- C. 5 : 2
- D. 9 : 5 Discuss
- 2. The ratio of Laxmi's age of the age of her mother is 3 : 11. the difference of their ages is 24 years. The ratio of their ages after 3 yeras will be?
Options- A. 1 : 3
- B. 2 : 3
- C. 3 :5
- D. None of these Discuss
- 3. The total ages of A, B and C at present is 90 years. Ten years ago the ratio of their ages was 1 : 2 : 3. Then the present age of B is ....?
Options- A. 30 years
- B. 20 years
- C. 40 years
- D. None of these Discuss
- 4. A father's age is four times as much as the sum of the ages of his three children but 6 years hence his age will be only double the sum of their ages. Then the age of the father is?
Options- A. 30 years
- B. 40 years
- C. 60 years
- D. 45 years Discuss
- 5. Present age of Rahul is 8 years less then Ritu's present age. If three years ago Ritu's age was x, which of the following represents Rahul's present age?
Options- A. x + 3
- B. x - 5
- C. x - 3 + 8
- D. x + 3 + 8 Discuss
- 6. The ratio in the ages of A and B, 1 year ago was 3 : 4. While it will be 5 : 6 after 1 year. What is the present age of B?
Options- A. 8 years
- B. 4 years
- C. 6 years
- D. None of these Discuss
- 7. If A son is younger then his father by 25 years and the father was 45 years old,4 years ago. What will be the total age of the father and son after 5 years?
Options- A. 82 years
- B. 88 years
- C. 83 years
- D. 78 years Discuss
- 8. The ratio of the ages of Ram and Rahim 10 yr ago was 1 : 3 . The ratio of their ages five years hence will be 2 : 3. Then, the ratio of their present ages is?
Options- A. 1 : 2
- B. 3 : 5
- C. 3 : 4
- D. 2 : 5 Discuss
- 9. The present age of Ravi's father is four times Ravi's present age.Five years back, Ravi's father was seven times as old as Ravi was at that time. What is the present age of Ravi's father?
Options- A. 84 yr
- B. 70 yr
- C. 40 yr
- D. 35 yr Discuss
- 10. If the two digits of the age of Mr. Manoj are reversed then the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is elder than his wife then find the difference their ages?
Options- A. Cannot be determined
- B. 10 years
- C. 8 years
- D. 9 years Discuss
More questions
Correct Answer: 7 : 3
Explanation:
Let son's age 10 years ago be x years.
? father's age 10 years ago = 3x years
? 3x + 20 = 2(x + 20)
? x = 20
? Ratio of their present ages = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3
Correct Answer: 1 : 3
Explanation:
Let the ages of Laxmi and her mother be 11x and 3x respectively.
From question, 11x - 3x = 24
? x = 3
? Ratio of their ages after 3 years = ( 3x + 3) : (11x + 3 )
= 12: 36 = 1 : 3
Correct Answer: 30 years
Explanation:
Let the respective ages of A, B and C, ten years ago be x, 2x and 3x years.
? (x + 10) + (2x + 10) + ( 3x + 10) = 90
? 6x = 60
? x = 10
? B's present age = 2x + 10 = 30 years
Correct Answer: 60 years
Explanation:
Let father's age be x years and the sum of ages of children be y years.
? x = 4 y ....(i)
Also (x + 6) = 2(y + 6 + 6 + 6) ....(ii) [6 is added thrice for three children ]
Solving (i) and (ii)
x = 60 years, and y = 15 years.
Correct Answer: x - 5
Explanation:
Let the Rahul's present age is 'A' years. Then Ritu's present age is (A + 8)
Now, according to the question,
(A + 8) - 3 = x
? A = (x - 5) years
Correct Answer: None of these
Explanation:
Let the present age of A and B be x and y years respectively
From 1st condition
(x - 1) / (y -1) = 3/4
? 4x - 4 = 3y - 3
? 4x - 3y = 1 ... (i)
From 2nd condition,
(x + 1) / (y + 1) = 5/6
? 6x + 6 = 5y + 5
? 6x - 5y = -1 ...(ii)
Multiplying equation (i) by 3 and equation (ii) by 2 and subtract
y = 5
? Present age of B = 5 years
Correct Answer: 83 years
Explanation:
Let the present age of father be x years, Then the present age of son = (x - 25) years .
According to to question,
x - 4 = 45
? x = 45 + 4
? x = 49
? Age of son = 49 - 25 = 24 years
? Age of son after five years = 24 + 5 = 29 years
? Age of father after five years = 49 + 5= 54 years
Total age of both = 29 + 54= 83 years
Correct Answer: 3 : 5
Explanation:
Let 10 yr ago, ages of Ram and Rahim were k yr and 3k yr, respectively.
Then, present age of Ram = (k + 10)
and present age of Rahim = (3k + 10)
According to the question, (k + 10 + 5) / (3k + 10 + 5) = 2/3
? 3k + 45 = 6k + 30
? 3k = 15
? k = 5
Hence, required ratio = (5 + 10) / (3 x 5 + 10)
= 15/25
= 3 : 5
Correct Answer: 40 yr
Explanation:
Let present age of Ravi be k.
Then, Present age of Ravi's father = 4k.
Now, 5 yr ago,
Ravi's father's age = 7 x Ravi's age
? 4k - 5 = 7(k - 5)
? 4k - 5 = 7k - 35
? 3k = 30
? k = 10
? Ravi's present age = k = 10 yr
? Ravi's father's present age = 4k
= 4 x 10 = 40 yr
Correct Answer: 8 years
Explanation:
Let the age of Mr Manoj be (10y + y) yrs.
? His wife's age = (10y + x ) years
Then, ((10x + y + 10y + x) / 11 = 10x + y -10y-x
? x + y = 9x - 9y
? 8x = 10y
? x/y = 5/4
? x = 5 and y =4 (because any other multiple of 5 will make x of two digits).
? Diff. = (10x + y) - (10y - x)
= 9x - 9y
= 9(x-y)
= 9(5-4)
= 9 yrs.
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.