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Applied Mathematics · 2026 · 3 marks
CBSE 2026 · Central · Set 4 · Q26
(a) (i) Apply addition modulo to positive integers 17 and 13 for modulo 30. (ii) Find subtraction modulo 8 for numbers 11 and 3.
(a)(i)
Apply addition modulo to positive integers $\displaystyle 17$ and $\displaystyle 13$ for modulo 30.
(ii)
Find subtraction modulo $\displaystyle 8$ for numbers $\displaystyle 11$ and 3.
OR
(b)
Three pipes A, B and C can together fill a tank in $\displaystyle 8$ hours. After working at it together for $\displaystyle 2$ hours, B is closed and A and C fill the remaining part in $\displaystyle 9$ hours. Determine the time in which pipe B alone can fill the tank.
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