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Question 32 Marks
What is the parity of the sum of numbers from 1 to 200?
Answer
The sum from 1 to 200 is given by :
$\begin{array}{c}1+2=\frac{2 \times 3}{2}=3 \\ 1+2+3=\frac{3 \times 4}{2}=6 \\ 1+2+3+4=\frac{4 \times 5}{2}=10 \\ \vdots \\ 1+2+3+\ldots+200=\frac{200 \times 201}{2}=20100\end{array}$
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Question 42 Marks
Find out the parity for the product of two (a) odd numbers and (b) even numbers.
Answer
(a) Product of two odd numbers: The parity for the product of two odd numbers is always odd.
Example: 3 × 5 = 15 (odd number).
(b) Product of two even numbers: The parity for the product of two even numbers is always even.
Example: 4 × 6 = 24 (even number).
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Question 62 Marks
Below you will find a set of magic number puzzles. Fill in the blanks to solve the puzzle for the given magic sum:
(b) The magic sum is 42
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Question 72 Marks
Below you will find a set of magic number puzzles. Fill in the blanks to solve the puzzle for the given magic sum:
(a) The magic sum is 27
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2 Marks Questions - MATHS STD 7 Questions - Vidyadip