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  • Question
  • The Fourth term of an Arithmetic Progression is 37 and the Sixth term is 12 more than the Fourth term. What is the sum of the Second and Eight terms?


  • Options
  • A. 54
  • B. 64
  • C. 74
  • D. 84

  • Correct Answer
  • 74 

    Explanation

    Let us assume the first number is a and common difference is d.
    According to question,
    4th term of A.P = 37
    a + ( n - 1 ) x d = 37
    Put the value of a , n and d, we will get,
    a + (4 - 1 ) x d = 37
    a + 3d = 37..................(1)
    sixth term is 12 more than the fourth term,
    6th term = 12 + 4th term
    a + ( n - 1 ) x d = 12 + 37
    a + ( 6- 1 ) x d = 39
    a + 5d = 39................(2)
    subtract the equation (1) from (2)
    a + 5d - a - 3d = 39 - 37
    5d - 3d= 2
    2d = 2
    d = 1
    Put the value of d in equation (1), we will get
    a + 3 x 1 = 37
    a = 37 - 3
    a = 34

    Second term = a + (n - 1) x d = 34 + (2 - 1) x 1 = 34 + 1 = 35
    Six term = a + (n - 1) x d = 34 + (6 - 1) x 1 = 34 + 5 = 39
    Sum of Second and Six term = 35 + 39 = 74
    Sum of Second and Six term = 74
    Answer is 74.


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


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