Coding and Decoding: Exercise-1


Directions (1-5): Study the following information carefully and answer the questions given below.


In a certain code, % means, 'is greater than'

& means, 'is lesser than'

# means, 'is equal to'

@ means, 'is not equal to'

$ means, 'is a little more than'

\(*\) means, 'is a little less than'.


  1. If A % B and B $ C, then

    1. A & C
    2. C & A
    3. C $ A
    4. A @ C


Answer: (b) C & A

Solution: A % B means A > B

B $ C means B > C, then

A > C or C < A

Hence, according to conditions C & A is the correct answer.

  1. If C @ A and A @ B, then

    1. B % A
    2. C # A
    3. B @ A
    4. A * C


Answer: (c) B @ A

Solution: C @ A means C \(\neq\) A

A @ B means A \(\neq\) B, then

B \(\neq\) A

Hence, according to conditions B @ A is the correct answer.

  1. If A * B and B # C, then

    1. C $ A
    2. B % C
    3. A $ C
    4. C # A


Answer: (a) C $ A

Solution: A * B means, A is a little less than B

B # C means B = C, then

A is a little more than C \(or\) C is a little more than A

Hence, according to conditions C $ A is the correct answer.

  1. If C & B and B * A, then

    1. A % C
    2. C # A
    3. B % C
    4. C % A


Answer: (a) A % C

Solution: C & B means C < B

B * A means, B is little less than A, then

C < A \(or\) A > C

Hence, according to conditions A % C is the correct answer.

  1. If AC % BC, then

    1. A # C
    2. B % C
    3. C % B
    4. B & A


Answer: (d) B & A

Solution: AC % BC means AC > BC \(or\) A > B \(or\) B < A

Hence, according to conditions B & A is the correct answer.

Directions (6-10): Study the following information carefully and answer the questions given below.


In a certain code, 'paint your house red' is written as 'ri fm ew cu'

'gate of red colour' is written as 'lb ew op sa'

'house of your choice' is written as 'sa cu ri nk'

'gate with red paint' is written as 'gy op ew fm'


  1. What is the code for 'red' in the given code language?

    1. sa
    2. gy
    3. ew
    4. fm


Answer: (c) ew

Solution: In the first, second, and fourth statements, the code word 'ew' is common and the word 'red' is common, so the word 'red' is stands for the code word 'ew'.

  1. What may be the possible code for 'gate crash' in the given code language?

    1. jx op
    2. ri op
    3. lb jx
    4. op lb


Answer: (a) jx op

Solution: In the second and fourth statements, the code word 'op' stands for the word 'gate' and the word 'crash' is new, so the word 'gate crash' stands for the code word 'jx op'.

  1. In the given code language, what does the code 'cu' stand for?

    1. paint
    2. either 'of' or 'colour'
    3. choice
    4. either 'house' or 'your'


Answer: (d) either 'house' or 'your'

Solution: From the statement first and third it is clear that either 'house' or 'your' stands for the code word 'cu'.

  1. What is the code for 'paint' in the given code language?

    1. gy
    2. fm
    3. sa
    4. op


Answer: (b) fm

Solution: In the statement first and fourth the word 'paint' is common and the code word 'fm' is common, so the word 'paint' stands for the code word 'fm'.

  1. If 'colour with canvas' is coded as 'hv lb gy' in the given code language, then what is the code for 'canvas of choice'?

    1. hv nk ew
    2. ri sa nk
    3. nk hv sa
    4. sa ew hv


Answer: (c) nk hv sa

Solution: In the statement of the question, 'hv' stands for the word 'canvas'

in the second and third statements 'sa' stands for the word 'of'

in the third statement, the code word 'nk' stands for the word 'choice'

Hence, the code words 'nk hv sa' stands for the word 'canvas of choice'.