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Home Aptitude Problems on Ages See What Others Are Saying!
  • Question
  • 10 yr before, the ratio of ages of A and B was 13 : 17. After 17 yr from now, the ratio of their ages will be 10 : 11. The present age of B is


  • Options
  • A. 23 yr
  • B. 40 yr
  • C. 27 yr
  • D. 44 yr

  • Correct Answer
  • 27 yr 

    Explanation

    Let the ages of A and B 10 yr before were 13k yr and 17k yr, respectively.
    Then, present age of A = 13k + 10
    and present age of B = 17k + 10

    According to the question,
    ? (13k + 10 + 17) / (17k + 10 + 17) = 10/11
    ? (13k + 27) / (17k + 27) = 10/11
    ? 143k + 297 = 170k + 270
    ? 27k = 27
    ? k = 1
    Hence, present age of B = 17 x 1 + 10 = 27 yr


  • More questions

    • 1. What is the average of first 93 natural numbers?

    • Options
    • A. 45
    • B. 46
    • C. 47
    • D. 49
    • Discuss
    • 2. The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m

    • Options
    • A. 53800
    • B. 43800
    • C. 83800
    • D. 73800
    • Discuss
    • 3. What is the measure of an interior angle of a regular decagon?

    • Options
    • A. 120°
    • B. 140°
    • C. 144°
    • D. 150°
    • Discuss
    • 4. The average weight of 100 students is 32 kg. The average weight of first 49 students is 30 kg and of last 50 students is 34 kg. What is the weight (in kg) of the 50th student?

    • Options
    • A. 25
    • B. 30
    • C. 32
    • D. 33
    • Discuss
    • 5. The average weight of Shubha, Govinda and Reshma is 65 kg. If the average weight of Shubha and Govinda be 63 kg and that of Govinda and Reshma be 70 kg, then the weight of Govinda is

    • Options
    • A. 41
    • B. 71
    • C. 88
    • D. 46
    • Discuss
    • 6. Which year has 366 days?

    • Options
    • A. 1900
    • B. 1200
    • C. 2500
    • D. 1700
    • Discuss
    • 7. A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?

    • Options
    • A. 40
    • B. 39
    • C. 50
    • D. 55
    • Discuss
    • 8. A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?

    • Options
    • A. 40
    • B. 39
    • C. 50
    • D. 55
    • Discuss
    • 9. In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in sq.cm) of triangle SQU?

    • Options
    • A. 162√3
    • B. 216√3
    • C. 108√3
    • D. 54√3
    • Discuss
    • 10. In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in sq.cm) of shaded region?

    • Options
    • A. 70
    • B. 140
    • C. 77
    • D. 84
    • Discuss


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