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Q8
(CISF/2019)
Miscellaneous & General Knowledge › Sports, Games & Awards
If @ + . = 16 + + # - & = 12 - 26 = 16 then which one of the following is correct?
Explanation
To solve the given system of equations, we first identify the variables and equations from the text:
- @ + * = 16
- * + # - & = 12
- # + & = 26 (interpreted from the expression "- 26 = 16" and the context of common logic puzzles where # + & = 26 and * + # - & = 12 are used)
From equation (2), we have: * + # - & = 12. Rearranging gives: * + # = 12 + &.
If we assume a common third equation used in this puzzle format, # + & = 26, and solve for consistency with the options:
- From (2), & = * + # - 12.
- Substitute into (3): # + (* + # - 12) = 26 ⇒ * + 2# = 38.
- If we test # = 19 (Option C): * + 2(19) = 38 ⇒ * + 38 = 38 ⇒ * = 0.
- If * = 0, then from (1), @ = 16.
Alternatively, if the third equation is * + # = 26: From (2), 26 - & = 12 ⇒ & = 14. If * = 7 (Option B), then @ = 9 (Option A) and # = 19 (Option C). Since multiple options cannot be correct, the most likely intended single answer in this puzzle type is # = 19.
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