# Coded Binary Numbers Questions Answers in Analytical Logical Reasoning

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## Model Questions on Coded Binary Numbers Reasoning

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

Digits and numbers are to be coded as follows

Digit | 7 | 3 | 5 | 0 | 2 | 1 | 6 | 4 | 9 | 7 |

Code | N | H | L | T | F | D | R | Q | G | P |

Following conditions are to be observed

(i) If the first digit is even and the last digit is odd they are to be coded as $ and @ respectively

(ii) If the first digit is odd and the last digit is even they are to be coded as # and £ respectively

(iii) If 0 is preceded as well as followed by an odd digit then 0 is to be coded as *

(iv) If 0 is coded as well as followed by even digit then 0 is to be coded as ↑

(v) 0 is not considered as either even or odd

1. What will be the code for 1375490?

A. DHNLQGT

B. #HNLQG£

C. DHNLQG*

D. £HNLQG#

E. None of these

2. $ Q R L * H @ is code for which of the following numbers?

A. 8456037

B. 8465032

C. 6475031

D. 6460539

E. Data inadequate

3. Q L P ↑ R N T is the code for which of the following numbers?

A. 4570680

B. 4780650

C. 6580470

D. Data inadequate

E. None of these

4. What will be code for 7620486?

A. £ R F ↑ Q P #

B. # R F ↑ Q P £

C. # R F * Q P £

D. £ R F * Q P #

E. None of these

5. What will be code for the 36250098?

A. # R F L * * G £

B. $ R F L T T G @

C. # R F L T T G £

D. $ R F L * * G @

E. None of these

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

In a certain code the symbol for 0 (zero) is Δ and for 1 is $. There is no other symbol for all other numbers greater than 1. The number greater than 1 re to be written using only he two symbols given above. The value of symbol for 1 doubles itself every time it shifts one place to the left. Study the following example.

0 written as Δ

1 written as $

2 written as $Δ

3 written as $$

4 written as $ΔΔ

…and so on

6. Which of the following will represent 7 x (1 + 4 ÷ 2)?

A. $Δ$Δ$

B. $$Δ$Δ

C. $ΔΔ$Δ

D. $ΔΔ$$

E. None of these

7. Which of the following symbol represent 9?

A. Δ$$$

B. $Δ$Δ

C. $ΔΔ$$

D. $ΔΔ$Δ

E. None of these

8. The symbol arrangement $ΔΔ$Δ represents which of the following?

A. 28

B. 48

C. 26

D. 50

E. None of these

9. The symbol arrangement $$ΔΔ$ represents which of the following?

A. 28

B. 48

C. 26

D. 50

E. None of these

10. Which of the following represents the number 24?

A. $ΔΔ$Δ

B. $$ΔΔΔ

C. $$$ΔΔ

D. $ΔΔ$$

E. None of these

Directions (11-15): Study the following information carefully and answer the questions given below it.

Number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |

Symbol | x | * | ? | ÷ | $ | • | + | ! | Δ |

(i) If any number begins by odd number then the odd number is symbolized by @

(ii) If any number ends by even number then the even number is symbolized as ©

11. Which of the following will be the symbol of 673258?

A. • + ? * $ !

B. @ + ? * !

C. @ ? + $ * !

D. • + ? * @ ©

E. None of these

12. Which of the following will be the symbol of 236475?

A. ? * • ÷ x

B. © ? • ÷ + @

C. X ? • ÷ + @

D. © ? ! ÷ + $

E. None of these

13. Which of the following will be the symbol of 86721?

A. © ÷ • + * x

B. ! ÷ • + * @

C. ! ÷ • + * x

D. © ÷ • + * x

E. None of these

14. Which of the following will be the symbol of 178524?

A. @ + ! $ * ©

B. X + ! $ ©

C. @ + ! $ * ÷

D. * + ! $ ÷

E. None of these

15. Which of the following will be the symbol of 25486?

A. * $ ÷ ! Δ

B. * $ ÷ ! ©

C. © $ ÷ ! •

D. * $ ! ÷ •

E. None of these

## More Practice Questions on Logical Reasoning

Directions (16-20): Digits in the number given in each of the following questions are to be coded based on ht codes and the conditions given below:

Digit | 2 | 9 | 4 | 6 | 3 | 8 | 1 | 7 | 5 | 0 |

Code | P | M | R | K | T | V | B | W | F | D |

Conditions:

(i) If both the first and the last digits of a number are odd numbers, they should be coded as Z

(ii) If both the first and the last digits of a number are even numbers, they should be coded as A

Now based on the above information find out which of the combinations is the coded form of the given number in each question.

16. 938752

A. MTVMWP

B. MTBZWP

C. WPMKTV

D. MTVWFP

E. None of these

17. 372581

A. ZWPFVZ

B. ZWPFVB

C. TWPFVZ

D. AWPFFVA

E. None of these

18. 631597

A. KTBDMW

B. TKBFMW

C. KTBFMW

D. RTBFMW

E. None of these

19. 843726

A. ZRTWPA

B. ZRIWPZ

C. ARTWPZ

D. ARTVPA

E. None of these

20. 789350

A. WVMTFA

B. WVMTFD

C. ZVMTFD

D. WVBTFD

E. None of these

Direction (21-25): Study the following information and answer the questions given below:

In a certain code, the symbol for 0 (zero) is @ and for 1 is $. There are no other symbols for all other numbers greater than one. The numbers greater than 1 are to be written only by using two symbols given above. The value of the symbol 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 $@@

…. and so on

21. Which of the following will represent 11?

A. $@$$

B. @$$@

C. $$@@

D. $@$@@

E. None of these

22. Which of the following will represent 8?

A. $$@@

B. @$$@

C. $$@@

D. @@$$

E. None of these

23. Which of the following number will be represented by $$@$?

A. 8

B. 11

C. 13

D. 12

E. None of these

24. Which of the following will represent the value of the product 3 x 3 + 1?

A. $$@$

B. $@$@

C. $@@$$

D. $$$

E. None of these

25. Which of the following number will be represented by $AAA$?

A. 22

B. 31

C. 14

D. 17

E. None of these

Direction (26-30): Ina certain instruction system, the different computation processes are written as follows:

(a) x $ y % z means x is added to the product of y and z.

(b) x # y @ z means x is multiplied by y and the resultant is subtracted from z.

(c) x © y * z means x is added to y and the resultant is divided by z

(d) x ! y • z means y is multiplied by z and the resultant is divided by x.

26. 22 $ 15 % 8 = n; n © 2 * 6 = ?

A. 12

B. 18

C. 16

D. 22

E. None of these

27. 24 # 5 @ 150 = m; m © 18 * 16 = ?

A. 8

B. 6

C. 3

D. 12

E. None of these

28. 60 ! 36 • 15 = g; 2 # 3 @ g = ?

A. 12

B. 3

C. 15

D. 8

E. None of these

29. 17 # 4 @ 88 = p; 5 ! p • 4 = ?

A. 16

B. 20

C. 85

D. 68

E. None of these

30. 32 $ 8 % 5 = t; t © 12 *7 = ?

A. 18

B. 16

C. 14

D. 12

E. None of these