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  • Question
  • n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4?


  • Options
  • A. 3
  • B. 2
  • C. 1
  • D. 0

  • Correct Answer


  • Explanation
    Let n = 4 q + 3. Then 2 n = 8 q + 6   = 4(2 q + 1 ) + 2.

    Thus, when 2n is divided by 4, the remainder is 2.

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    Numbers problems


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    • 1. The sum of first 45 natural numbers is:

    • Options
    • A. 1035
    • B. 1280
    • C. 2070
    • D. 2140
    • Discuss
    • 2. 
      854 x 854 x 854 - 276 x 276 x 276 =?
      854 x 854 + 854 x 276 + 276 x 276

    • Options
    • A. 1130
    • B. 578
    • C. 565
    • D. 1156
    • E. None of these
    • Discuss
    • 3. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

    • Options
    • A. 1235
    • B. 135
    • C. 358
    • D. 732
    • Discuss
    • 4. If 1400 x x = 1050. Then, x =?

    • Options
    • A. 14
    • B. 35
    • C. 23
    • D. 34
    • E. None of these
    • Discuss
    • 5. Which one of the following numbers is completely divisible by 45?

    • Options
    • A. 181560
    • B. 331145
    • C. 202860
    • D. 2033555
    • E. None of these
    • Discuss
    • 6. What is the unit digit in (4137)754?

    • Options
    • A. 1
    • B. 3
    • C. 7
    • D. 9
    • Discuss
    • 7. How many 3-digit numbers are completely divisible 6?

    • Options
    • A. 149
    • B. 150
    • C. 151
    • D. 166
    • Discuss
    • 8. What is the unit digit in {(6374)1793 x (625)317 x (341491)}?

    • Options
    • A. 0 
    • B. 2
    • C. 3
    • D. 5
    • Discuss
    • 9. (xn - an) is completely divisible by (x - a), when

    • Options
    • A. n is any natural number
    • B. n is an even natural number
    • C. n is and odd natural number
    • D. n is prime
    • Discuss
    • 10. (22 + 42 + 62 + ... + 202) =?

    • Options
    • A. 770
    • B. 1155
    • C. 1540
    • D. 385 x 385
    • Discuss


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