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  • Question
  • There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.


  • Options
  • A. 1/12
  • B. 2/14
  • C. 1/14
  • D. 2/13

  • Correct Answer
  • 1/14 

    Explanation

    Ans. C.
    Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
    According to the question -
    1/x + 1/x+2 = 11/60
    x+2+x/ x(x+2) = 11/60
    2(x+1)/x^2 + 2x = 11/60
    120x + 120 = 11x 2 + 22x
    11x 2 - 98x ? 120 = 0
    So ,
    X = -24/22 , 10
    X = -12/11 , 10
    So, the numbers will be 10,12,14,16.
    Hence,
    Third largest number = 14
    Reciprocal of third number = 1/14

  • Tags: AIEEE, Bank Exams, GATE

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    • 1. There is a three digit number. The digit at the tenth place is 3. If the place of all the digits are replaced with each other symmetrically about the tens position,then the new number obtained is 396 more than the original three digit number. The sum of the digits at unit & hundredth place is 14. Find out the original number?

    • Options
    • A. 513
    • B. 539
    • C. 439
    • D. 613
    • Discuss
    • 2. Direction: What should come in the place of question mark (?) in the following number series? 24, 25, ?, 41, -8, 73

    • Options
    • A. 13
    • B. 16
    • C. 25
    • D. 43
    • Discuss
    • 3. Direction: What should come in the place of question mark (?) in the following number series? 7, 10, 16, 28, ?, 100

    • Options
    • A. 34
    • B. 40
    • C. 52
    • D. 60
    • Discuss
    • 4. Direction: What should come in the place of question mark (?) in the following number series? 3, 4, 10, 33, 136, ?

    • Options
    • A. 150
    • B. 298
    • C. 463
    • D. 572
    • Discuss
    • 5. Direction: What should come in the place of question mark (?) in the following number series? 2, 3, 6, 15, 45, ?

    • Options
    • A. 90
    • B. 135
    • C. 157.5
    • D. 200
    • Discuss
    • 6. What will come in place of the question mark (?) in the following number series? 3240, 540, 108, 27, ?, 4.5

    • Options
    • A. 7
    • B. 10
    • C. 9
    • D. 8
    • Discuss
    • 7. What will come in place of the question mark in the series below? 3, 5, 15, 45, 113, ?

    • Options
    • A. 250
    • B. 243
    • C. 247
    • D. 261
    • Discuss
    • 8. What will come in place of the question mark in the series below? 2, 17, 89, 359, 1079, ?

    • Options
    • A. 2137
    • B. 2121
    • C. 2377
    • D. 2159
    • Discuss
    • 9. Which of the following will yield a reclining decimal?

    • Options
    • A. 6024
    • B. 3024
    • C. 9024
    • D. 12024
    • Discuss
    • 10. How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?

    • Options
    • A. 8
    • B. 9
    • C. 10
    • D. 12
    • Discuss


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