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  • Question
  • Four boys and three girl stand in queue for an interview. The probability that they stand in alternate position is


  • Options
  • A. 1/34
  • B. 1/35
  • C. 1/17
  • D. 1/68

  • Correct Answer
  • 1/35 

    Explanation

    Total number of possible arrangement for 4 boy and 3 girls in a queue = 7!
    when they occupy alternate position then the arrangement would be like
    BGBGBGB. Thus the total number of possible arrangement = 4! x 3!
    ? Required probability = 4! x 3! / 7!
    = (4 x 3 x 2 x 3 x 2) / (7 x 6 x 5 x 4 x 3 x 2) = 1/35


  • More questions

    • 1. 
      The shares of a company of par value $ 10 each, are available at 20% premium. Find out the amount paid by the buyer who wants to buy 2500 shares. What would be the gain of the buyer if he sells those shares at the rate of $ 20 per share?

    • Options
    • A. $ 25000
    • B. $ 30000
    • C. $ 20000
    • D. $ 22000
    • Discuss
    • 2. 
      When two dice are thrown, the probability that the difference of the number on the dice is 2 or 3 is?

    • Options
    • A. 7/18
    • B. 3/11
    • C. 5/18
    • D. 1/2
    • Discuss
    • 3. 
      Shantanu can do a piece of work in 12 days and Manu can do the same work in 10 days. If they work together, in what ratio Shantanu and Manu will receive their wages?

    • Options
    • A. 5 : 6
    • B. 3 : 2
    • C. 1 : 6
    • D. 5 : 7
    • Discuss
    • 4. 
      Cost of a packet of coffee powder and a litre of milk are ? 20 and ? 30 respectively. 10 cups of coffee is made with one packet coffee powder and for each cup 200 ml of milk is used. If coffee is sold at 25% profit, the selling price of each cup of coffee is

    • Options
    • A. ? 12.50
    • B. ? 6.25
    • C. ? 8
    • D. ? 10
    • Discuss
    • 5. 
      A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is

    • Options
    • A. 500 kg
    • B. 600 kg
    • C. 400 kg
    • D. 640 kg
    • Discuss
    • 6. 
      835, 734, 642, 751, 853, 981, 532?

    • Options
    • A. 751
    • B. 853
    • C. 981
    • D. 532
    • Discuss
    • 7. 
      8, 27, 64, 100, 125, 216, 343?

    • Options
    • A. 27
    • B. 100
    • C. 125
    • D. 343
    • Discuss
    • 8. 
      2, 5, 10, 50, 500, 5000?

    • Options
    • A. 0
    • B. 5
    • C. 10
    • D. 5000
    • Discuss
    • 9. 
      125, 123, 120, 115, 108, 100, 84?

    • Options
    • A. 125
    • B. 115
    • C. 100
    • D. 84
    • Discuss
    • 10. 
      8, 7, 11, 12, 14, 17, 17, 22, (...)?

    • Options
    • A. 27
    • B. 20
    • C. 22
    • D. 24
    • Discuss


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