Question : Directions: The ratio of the present ages of P and Q is 5 : 8. Three years later their ages will be in the ratio 8 : 11. What is the present age (in years) of Q?
Option 1: 5
Option 2: 11
Option 3: 14
Option 4: 8
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 8
Solution : Given: The ratio of the present ages of P and Q is 5 : 8. Let the present age of P be 5y and the present age of Q be 8y. Age of P after 3 years = 5y + 3 Age of Q after 3 years = 8y + 3 The ratio of their ages after 3 years is 8 : 11 ⇒ $\frac{5y\ +\ 3}{8y\ +\ 3}=\frac{8}{11}$ ⇒ 11 × (5y + 3) = 8 × (8y + 3) ⇒ 55y + 33 = 64y + 24 ⇒ 64y – 55y = 33 – 24 ⇒ 9y = 9 ⇒ y = 1
So, Q's present age = 8y = 8 × 1 = 8 years. Hence, the fourth option is correct.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : The ratio of the present ages of the two boys is $3:4$. After 3 years, the ratio of their ages will be $4:5$. The ratio of their ages after 21 years will be:
Question : Directions: The ratio between the present ages of Pankaj and Punit is 5 : 6, and the sum of their ages is 33 years. What will be the difference (in years) of their ages?
Question : The ratio of the present ages of R and S is 11 : 17. 11 years ago, the ratio of their ages was 11 : 20. What is R's present age (in years)?
Question : The ratio of the present ages of Ram and Ramesh is 3 : 5. After 7 years the ratio of their ages will be 4 : 5. Find the present age of Ramesh.
Question : Directions: 5 years hence, the ratio of ages of A and B will be 7 : 5 and the difference between their ages will be 4 years. What are the present ages (in years) of A and B respectively?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile