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
