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  • Question
  • Two old friends, Jack and Bill, meet after a long time. Jack: Hey, how are you man? Bill: Not bad, got married and I have three kids now Jack: That?s awesome. How old are they? Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date. Jack: Cool ? But I still don?t know. Bill : My eldest kid just started taking piano lessons. Jack: Oh now I get it. How old are Bill?s kids ?


  • Options
  • A. 3, 3, 8
  • B. 2, 6, 6
  • C. 1, 6, 12
  • D. 1, 8, 9

  • Correct Answer
  • 3, 3, 8 

    Explanation

    Let?s break it down. The product of their ages is 72. So what are the possible choices?

     

    2, 2, 18 ? sum(2, 2, 18) = 22
    2, 4, 9 ? sum(2, 4, 9) = 15
    2, 6, 6 ? sum(2, 6, 6) = 14
    2, 3, 12 ? sum(2, 3, 12) = 17
    3, 4, 6 ? sum(3, 4, 6) = 13
    3, 3, 8 ? sum(3, 3, 8 ) = 14
    1, 8, 9 ? sum(1,8,9) = 18
    1, 3, 24 ? sum(1, 3, 24) = 28
    1, 4, 18 ? sum(1, 4, 18) = 23
    1, 2, 36 ? sum(1, 2, 36) = 39
    1, 6, 12 ? sum(1, 6, 12) = 19

     

    The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.

     

    2, 6, 6 ? sum(2, 6, 6) = 14
    3, 3, 8 ? sum(3, 3, 8 ) = 14

     

    Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

  • Tags: CAT, Bank Exams, Bank PO, Bank Clerk

    Arithmetic Reasoning problems


    Search Results


    • 1. What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?

    • Options
    • A. 3
    • B. 5
    • C. 7
    • D. 9
    • Discuss
    • 2. How much does a gallon of water weigh?

    • Options
    • A. 2.741 kgs
    • B. 2.956 kgs
    • C. 3.418 kgs
    • D. 3.785 kgs
    • Discuss
    • 3. Which is called 'OFF State' in binary?

    • Options
    • A. 4
    • B. 3
    • C. 2
    • D. 1
    • Discuss
    • 4. If 9 * 2 * 5 = 23 and 1 * 4 * 8 = 29, then 1 * 6 * 3 = ?

    • Options
    • A. 19
    • B. 21
    • C. 31
    • D. 39
    • Discuss
    • 5. Aptitude tests are designed to measure

    • Options
    • A. General reasoning
    • B. Perceptual speed
    • C. Verbal comprehension
    • D. All of the above
    • Discuss
    • 6. Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?

    • Options
    • A. 12 & 7
    • B. 13 & 8
    • C. 15 & 10
    • D. 14 & 9
    • Discuss
    • 7. 17 tens in unit form?

    • Options
    • A. One 1 Seven 7 Ten 10
    • B. One 1 Seven 10 0 ones
    • C. 1 hundred, 7 tens, 0 ones
    • D. 1 ten and 7 ones
    • Discuss
    • 8. A chord that passes through the center of a circle is

    • Options
    • A. secant
    • B. tangent
    • C. diameter
    • D. perigram
    • Discuss
    • 9. Which of the following is a Composite number?

    • Options
    • A. 0
    • B. 19
    • C. 29
    • D. 91
    • Discuss
    • 10. What are the Multiples of 18?

    • Options
    • A. 144
    • B. 72
    • C. 306
    • D. All the above
    • Discuss


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