logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Number System See What Others Are Saying!
  • Question
  • The sum of five consecutive odd numbers is equal to 175. What is the sum of the second largest number and the square of the smallest number among them together?


  • Options
  • A. 989
  • B. 997
  • C. 979
  • D. 995

  • Correct Answer
  •  

    Explanation

    Method 1 to solve this question.
    Let p be the first odd number.
    Then next odd number is p + 2.
    According to question,
    Sum of five consecutive odd numbers 175
    ? p + p + 2 + p + 4 + p + 6 + p + 8 = 175
    ? 5p + 20 = 175
    ? p = (175 - 20)/5 = 31
    According to question,
    Sum of the second largest and square of smallest one = (31 + 6) + (31)2
    Sum of the second largest and square of smallest one = 37 + 961 = 998

    Method 2 to solve this question.
    Let p be the even number.
    Then next odd number is p + 1. so on p + 3 , p + 5................ P + 9
    According to question,
    Sum of five consecutive odd numbers 175
    ? p + 1 + p + 3 + p + 5 + p + 7 + p + 9 = 175
    ? 5p + 25 = 175
    ? p = (175 - 25)/5
    ? p = (150)/5
    ? p = 30
    First odd number = p + 1 = 30 + 1 = 31
    According to question,
    Sum of the second largest and square of smallest one = (30 + 7) + (30 + 1)2
    Sum of the second largest and square of smallest one = 37 + 961 = 998


  • More questions

    • 1. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 2. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 3. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss
    • 4. 
      Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?

    • Options
    • A. {3, 4} ? A
    • B. {3, 4} ? A
    • C. 1 ? A
    • D. {1, 2, 5} ? A
    • Discuss
    • 5. 
      Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?

    • Options
    • A. 2 : 5
    • B. 3 : 5
    • C. 4 : 5
    • D. 7 : 3
    • Discuss
    • 6. 
      1, 2, 4, 8, 16, 32, 64, (...), 256?

    • Options
    • A. 148
    • B. 128
    • C. 154
    • D. 164
    • Discuss
    • 7. 
      A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole?

    • Options
    • A. 150 m
    • B. 200 m
    • C. 125 m
    • D. 115 m
    • Discuss
    • 8. 
      8% of 96 =? of 1/25

    • Options
    • A. 19.2
    • B. 7.68
    • C. 1.92
    • D. None of these
    • Discuss
    • 9. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

    • Options
    • A. Rs. 35
    • B. Rs. 245
    • C. Rs. 350
    • D. Cannot be determined
    • E. None of these
    • Discuss
    • 10. 
      If the hands of a clock coincide in every 65 minutes (true time), in 24 hours the clock will gain:

    • Options
    • A. 10 10 minutes. 143
    • B. 9 12 minutes. 143
    • C. 11 12 minutes. 143
    • D. 12 10 minutes. 143
    • Discuss


    Comments

    There are no comments.

Enter a new Comment