Question 13 Marks
(i) In a certain code language $\$ \#^*$ means 'Shirt is clean', @ D # means 'clean and neat' and @ ? means 'neat boy', then what is the code for 'and' in this language?
(ii) If $A$ stands for ' + ' $B$ stand for ' - ', $C$ stands for ' $\times$ ', then what is the value of $(10 C 4)(A)(4 C 4) B 6$ ?
(ii) If $A$ stands for ' + ' $B$ stand for ' - ', $C$ stands for ' $\times$ ', then what is the value of $(10 C 4)(A)(4 C 4) B 6$ ?
Answer
View full question & answer→(i) Given code statements are :
(I) $ # * 'Shirt is clean'
(II) @ D # 'Clean and neat'
(III) @ ? 'neat boy'
Here, we can observe that from statements I and II, the word 'clean' is common and common code for clean is '#'. Similarly from statement II and III, the common word is 'neat' and common code for it is '@'. Now, from statement II, we can conclude that code for 'and' is 'D'.
(ii) Given, codes for letter are:
A+ (addition)
B(subtraction)
C→x (multiplication)
Hence, (10 C 4) (A) (4 C4) B6
= (10 x 4) + (4x4)-6
= 40+16-6
= 56-6
= 50
Thus, value of (10 C 4) (A) (4 C4) B6 is 50.
(I) $ # * 'Shirt is clean'
(II) @ D # 'Clean and neat'
(III) @ ? 'neat boy'
Here, we can observe that from statements I and II, the word 'clean' is common and common code for clean is '#'. Similarly from statement II and III, the common word is 'neat' and common code for it is '@'. Now, from statement II, we can conclude that code for 'and' is 'D'.
(ii) Given, codes for letter are:
A+ (addition)
B(subtraction)
C→x (multiplication)
Hence, (10 C 4) (A) (4 C4) B6
= (10 x 4) + (4x4)-6
= 40+16-6
= 56-6
= 50
Thus, value of (10 C 4) (A) (4 C4) B6 is 50.

