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  • Question
  • Which expression is equivalent to i233 ?


  • Options
  • A. i
  • B. 1
  • C. -i
  • D. -1

  • Correct Answer


  • Explanation

    We know that,

    i 2   =   - 1 i 3   =   i 2   x   i   =   - 1   x   i   =   - i i 4   =   i 2   x   i 2   =   - 1   x   - 1   =   1 Hence ,   i 233     = i 4   x   58   +   1   =   i 232   x   i 1   =   1   x   i   =   i


  • Numbers problems


    Search Results


    • 1. In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ?

    • Options
    • A. 138 to 164
    • B. 125 to 147
    • C. 148 to 158
    • D. 152 to 164
    • Discuss
    • 2. Find the next number in the series 141,137,146,130,155,119,...

    • Options
    • A. 147
    • B. 168
    • C. 162
    • D. 182
    • Discuss
    • 3. Find the next number in the series 2, 3, 4, 8, 9, 10, 11, 16, 17, 18, 19, 20,...

    • Options
    • A. 27
    • B. 26
    • C. 24
    • D. 25
    • Discuss
    • 4. What is the remainder when 1523+2323 is divided by 19 ?

    • Options
    • A. 4
    • B. 3
    • C. 1
    • D. 0
    • Discuss
    • 5. 3131×31-27 =?

    • Options
    • A. 961 x 861
    • B. 961 x 961
    • C. 961 x 2
    • D. 29791
    • Discuss
    • 6. If n is natural number , then 6n2+6n is always divisible by :

    • Options
    • A. 6 only
    • B. 6 and 12 both
    • C. 12 only
    • D. by 18 only
    • Discuss
    • 7. Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $1.55 ?

    • Options
    • A. 1155
    • B. 1145
    • C. 1040
    • D. None
    • Discuss
    • 8. A number divided by 296 leaves the remainder 75. If the same number is divided by 37, what will be the remainder ?

    • Options
    • A. 0
    • B. 1
    • C. 11
    • D. 8
    • Discuss
    • 9. The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?

    • Options
    • A. 28
    • B. 19
    • C. 37
    • D. 46
    • Discuss
    • 10. What is the value of 4 in 475?

    • Options
    • A. 4
    • B. 400
    • C. 475
    • D. 40
    • Discuss


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