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Home Aptitude Permutation and Combination See What Others Are Saying!
  • Question
  • Consider the word ROTOR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5-letter palindromes.


  • Options
  • A. 17756
  • B. 17576
  • C. 12657
  • D. 12666

  • Correct Answer
  • 17576 

    Explanation

    The first letter from the right can be chosen in 26 ways because there are 26 alphabets.

     

    Having chosen this, the second letter can be chosen in 26 ways

     

    The first two letters can chosen in 26 x 26 = 676 ways

     

    Having chosen the first two letters, the third letter can be chosen in 26 ways.

     

    All the three letters can be chosen in 676 x 26 =17576 ways.

     

    It implies that the maximum possible number of five letter palindromes is 17576 because the fourth letter is the same as the second letter and the fifth letter is the same as the first letter.


  • More questions

    • 1. 
      ( x2/3)- 3/4 is equivalent to :

    • Options
    • A. 1 x
    • B. 1 ?x
    • C. 1 x2
    • D. 1 x- 2
    • Discuss
    • 2. 
      The probability of getting a composite number when a six-faced unbiased die is tossed, is

    • Options
    • A. 1/4
    • B. 1/3
    • C. 1/2
    • D. 1
    • Discuss
    • 3. 
      Ajay takes some loan from Rashmi at the rate of 5% per annum andd after 2 yr, Ajay gave back ? 8800 to Rashmi and this way paid his whole loan. Find the interest by Ajay.

    • Options
    • A. ? 825
    • B. ? 975
    • C. ? 800
    • D. ? 850
    • Discuss
    • 4. 582, 605, 588, 611, 634, 617, 600

    • Options
    • A. 634
    • B. 611
    • C. 605
    • D. 600
    • Discuss
    • 5. 
      In the given figure, AM ? BC and AN is the bisector of ?A. What is the measure of ?MAN.

    • Options
    • A. 17.5°
    • B. 15.5°
    • C. 20°
    • D. 25°
    • Discuss
    • 6. 
      If the cost of 1/4 th of kg is Rs. 0·60, then what is the cost of 200 gm ?

    • Options
    • A. 42 paise
    • B. 48 paise
    • C. 40 paise
    • D. 50 paise
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    • 7. 10, 26, 74, 218, 654, 1946, 5834

    • Options
    • A. 26
    • B. 74
    • C. 218
    • D. 654
    • E. 1946
    • Discuss
    • 8. 
      One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is?

    • Options
    • A. 12 m2
    • B. 15 m2
    • C. 20 m 2
    • D. 4?5 m2
    • Discuss
    • 9. 
      Convert 0.2 7 into a vulgar fraction.

    • Options
    • A. 5/18
    • B. 5/19
    • C. 7/19
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    • 10. 
      If in a hostel 45 days, food is available food is available for 50 students, for how many days will this food be sufficient for 75 students?

    • Options
    • A. 25 days
    • B. 28 days
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    • D. 40 days
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