Q5. If O is to be replaced by 1, 1 is replaced by 2, 2 is replaced by 3, 3 is replaced by 4, 4 is replaced by 5, 5 is replaced by 6, 6 is replaced by 7, 7 is replaced by 8, 8 is replaced by 9 and 9 is replaced by O. Then find the value of (78 - 12 - 13 - 14).
options
(a) 14
(b) 31
(c) 17
(d) 161
Answers
Answer:
78 - 12 - 13 - 14
= 89 - 23 - 24 - 25 [since, 1 is replaced by 2, 2 is replaced
by 3, 3 is replaced by 4, 4 is replaced
by 5, 7 is replaced by 8 and 8 is
replaced by 9.]
= 17
Step-by-step explanation:
Hope this helps you.
Given :- If O is to be replaced by 1, 1 is replaced by 2, 2 is replaced by 3, 3 is replaced by 4, 4 is replaced by 5, 5 is replaced by 6, 6 is replaced by 7, 7 is replaced by 8, 8 is replaced by 9 and 9 is replaced by O. Then find the value of (78 - 12 - 13 - 14).
options :-
(a) 14
(b) 31
(c) 17
(d) 161
Solution :-
given that,
- 0 is replaced by 1 .
- 1 is replaced by 2 .
- 2 is replaced by 3 .
- 3 is replaced by 4 .
- 4 is replaced by 5 .
- 5 is replaced by 6 .
- 6 is replaced by 7 .
- 7 is replaced by 8 .
- 8 is replaced by 9 .
- 9 is replaced by 0 .
- Each number is increasing by 1 except 9 .
so, in (78 - 12 - 13 - 14) we get,
- 78 becomes = (7 + 1)(8 + 1) = 89
- 12 becomes = (1 + 1)(2 + 1) = 23
- 13 becomes = (1 + 1)(3 + 1) = 24
- 14 becomes = (1 + 1)(4 + 1) = 25
- or, we can say that, we have to add 11 in a two digit number .
then,
→ (78 - 12 - 13 - 14)
→ (89 - 23 - 24 - 25)
→ 89 + (-23 - 24 - 25)
taking (-1) common from bracket,
→ 89 + (-1)(23 + 24 + 25)
→ 89 + (-1) * 72
→ 89 - 72
→ 17 (c) (Ans.)
Hence, the required value will be option (c) 17.
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