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  • Question
  • The least perfect square which is divisible by each of 21, 36 and 66 is equal to?


  • Options
  • A. 213444
  • B. 223444
  • C. 213442
  • D. 223445

  • Correct Answer
  • 213444 

    Explanation

    Ans. LCM of 21, 36 and 66 = 2772
    Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
    To make it a perfect square, it must be multiplied by 77 [for (7 x 11)].
    ? Required number = 22 x 32 x 72 x 112 = 213444


  • Order of Magnitude problems


    Search Results


    • 1. 
      If x = (?2 + 1)/(?2 - 1) and y = (?2 - 1)/(?2 + 1), then 3 (xy + 1) is euqal to?

    • Options
    • A. x + y
    • B. x - y
    • C. 2 (x + y)
    • D. None of above
    • Discuss
    • 2. 
      Each student of class IX contributed some money for a picnic. The money contributed by each student was equal to the cube of the total number of student. If the total collected amount was Rs. 29791, then find the total number of students.

    • Options
    • A. 30
    • B. 31
    • C. 33
    • D. 40
    • Discuss
    • 3. 
      A certain number of people agree to subscribe as many rupees each as there are subscribers. The whole subscription is Rs. 2582449. Find the number of subscriber.

    • Options
    • A. 1607
    • B. 1291225
    • C. 1503
    • D. 1603
    • Discuss
    • 4. 
      A general wishing to draw up his 16160 soldiers in the form as a solid square, found that he had 31 soldiers left over. Find the number of soldiers in the front.?

    • Options
    • A. 126
    • B. 125
    • C. 128
    • D. 127
    • Discuss
    • 5. 
      Find the number whose square is equal to the difference between the square of 75.15 and 60.12.?

    • Options
    • A. 225.9
    • B. 67.635
    • C. 45.09
    • D. 15.03
    • Discuss
    • 6. 
      In an opera house, there are 7777 chairs to be placed but the organizer of the event arranged all the chair in such a way that these were as many columns as there were rows, so he had to remove minimum n chairs from the total 7777 chairs. The minimum value of n is?

    • Options
    • A. 121
    • B. 44
    • C. 33
    • D. 25
    • Discuss
    • 7. 
      In a bangel shop, the shopkeeper displays the bangels in the form of a square, then he is left with 38 bangles with him. If he wants to increse the size of square by one unit each side of the square, he found that 25 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was?

    • Options
    • A. 1690
    • B. 999
    • C. 538
    • D. Cannot be determined
    • Discuss
    • 8. 
      The sum of two number, when multiplied with each of the number separately, then the results of these multiplication are 2418 and 3666, respectively. Find the difference between the numbers.?

    • Options
    • A. 16
    • B. 21
    • C. 19
    • D. 23
    • Discuss
    • 9. 
      One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.

    • Options
    • A. 32
    • B. 34
    • C. 35
    • D. 36
    • Discuss
    • 10. 
      If cost of 15 eggs be 75 rupees, then find out the cost of 5 dozen eggs.

    • Options
    • A. 300
    • B. 400
    • C. 500
    • D. 600
    • Discuss


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