Multiple choice

Directions: Study the following information & answer the question given below: In a certain code, the symbol for 0 (zero) is @ & for 1 (one) is $. There are no other symbols for all other numbers greater than 1. The numbers greater than 1 are to be written only by using the two symbols given above. The value of the symbol given for 1 doubles itself every time it shifts one place to the left. Study the following example: 0 is written as @ 1 is written as $ 2 is written as $@ 3 is written as $$ 4 is written as $@@ & so on.

Which of the following will represent 11?

  1. $@$$
  2. @$$@
  3. $$@@
  4. $@$@@

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$ = 1, @ = 0 On shifting $ place to the left its value becomes 1 x 2 = 2 On shifting $ two place to the left its value becomes 2 x 2 = 4 On shifting $ three place to the left its value becomes 4 x 2 = 8 Now 11 = 8 + 3 = 8 + 0 + 2 + 1 which can be shown as below: $            @              $            $ (= 2x4=8)      (=0)       (=2x1=2)    (=1) 11 can be written as $@$$.

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