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Elimination Method of Finding Solution of a Pair of Linear Equations

If 7∗ 3=52;...

Question

If $7 * 3 = 52; 9 * 5 = 86; 3 * 4 = 13$ , then $5 * 7$ =?

A

30

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B

32

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C

40

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D

57

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E

42

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Solution

The correct option is B 32
The rule is: $a * b = a^{2} + b$
$7 * 3 = 49 + 3 = 52 e t c .$
$∴ 5 * 7 = 25 + 7 = 32$

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Q. In the following question, three statements of numbers following the some rule are given. Find the rule and accordingly find the value of the number.

7 * 3 = 52; 9 * 5 = 86; 3 * 4 = 13,

5 * 7 = ?

Q. If 7 * 3 = 52; 9 * 5 = 86; 3 * 4 = 13 then 5 * 7 = ?

3 + 2 = 7, 4 + 3 = 10, 5 + 4 = 13

6 + 5 = ?

Q. If 3 * 7 = 58; 5 * 6 = 61; 3 * 2 = 13 then 5 * 4 = ?

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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Elimination Method of Finding Solution of a Pair of Linear Equations

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