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  • Question
  • The sum of three consecutive multiples of 3 is 72. What is the largest number?


  • Options
  • A. 21
  • B. 24
  • C. 27
  • D. 36

  • Correct Answer
  • 27 

    Explanation

    Method 1
    Let us assume the number be 3p , 3(p+1) and 3(p+2)
    According to question,
    3p + 3(p+1) + 3(p+2) = 72
    ? 3p + 3p + 3 +3p + 6 = 72
    ? 9p +9 = 72
    ? 9p = 72 - 9
    ? 9p = 63
    ? p = 63/9 = 7
    ? Largest number = 3(p + 2)
    Put the value of p in above equation.
    ? Largest number = 3 x ( 7 + 2 )
    ? Largest number = 3 x 9
    ? Largest number = 27

    Method 2
    Let us assume the numbers P , P + 3 ,P+ 6
    According to Question,
    sum of three numbers = 72
    P + P + 3 + P + 6 = 72
    ? 3P + 9 = 72
    ? 3P = 72 - 9
    ? 3P = 72 - 9
    ? P = 63/3
    ? P = 21
    So largest Number = P + 6 = 21 + 6 = 27


  • More questions

    • 1. 
      At simple interest, a sum becomes 3 times in 20 yr. Find the time, in which the sum will be double at the same rate of interest.

    • Options
    • A. 8 yr
    • B. 10 yr
    • C. 12 yr
    • D. 14 yr
    • Discuss
    • 2. 5, 10, 13, 26, 29, 58, 61, (....)

    • Options
    • A. 122
    • B. 64
    • C. 125
    • D. 128
    • Discuss
    • 3. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

    • Options
    • A. 12 years
    • B. 14 years
    • C. 18 years
    • D. 20 years
    • Discuss
    • 4. A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?

    • Options
    • A. Rs. 12,000 in cash
    • B. s. 12,880 at credit
    • C. Both are equally good
    • Discuss
    • 5. 
      5/12 part of what amount will be equal to 33/4 part of ? 100?

    • Options
    • A. ? 900
    • B. ? 940
    • C. ? 875
    • D. ? 975
    • Discuss
    • 6. 
      Which of the following equations is a quadratic?

    • Options
    • A. x3 - x2 - x + 5 = 0
    • B. x4 - 10
    • C. 7x2 = 49
    • D. x4 - x3 = 9000
    • Discuss
    • 7. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

    • Options
    • A.

      1
      4

    • B.

      1
      10

    • C.

      7
      15

    • D.

      8
      15

    • Discuss
    • 8. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?

    • Options
    • A. 1
    • B. 72
    • C. 7
    • D. 49
    • Discuss
    • 9. 
      A train passes two persons two persons who are walking in the direction opposite to the direction of train at the rate of 10 m/s and 20 m/s respectively in 12 s and 10 s, respectively. Find the length of the train?

    • Options
    • A. 500 m
    • B. 900 m
    • C. 400 m
    • D. 600 m
    • Discuss
    • 10. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

    • Options
    • A. 20 hours
    • B. 25 hours
    • C. 35 hours
    • D. Cannot be determined
    • E. None of these
    • Discuss


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