Mathematical operation and symbol notation
Direction: If the given interchanges are made in signs and numbers, which one of the four equations would be correct?
 Given interchanges signs 'x' and '÷'; numbers '4' and '9'

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(a) 49 ÷ 7 x 97 ≠ 324
(b) 49 ÷ 7 x 47 = 329
(c) 94 ÷ 7 x 94 ≠ 7
(d) 97 ÷ 4 x 49 ≠ 18Correct Option: B
(a) 49 ÷ 7 x 97 ≠ 324
(b) 49 ÷ 7 x 47 = 329
(c) 94 ÷ 7 x 94 ≠ 7
(d) 97 ÷ 4 x 49 ≠ 18
 Select the correct combination of mathematical signs to replace * signs and to balance the following equation
8 * 8 * 1 * 7 = 8

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From option (c),
8 * 8 * 1 * 7 = 8
⇒ 8 ÷ 8 x 1 + 7 = 8
∴ 8 = 8Correct Option: C
From option (c),
8 * 8 * 1 * 7 = 8
⇒ 8 ÷ 8 x 1 + 7 = 8
∴ 8 = 8
 If '+' denotes ÷ , '' denotes x, 'x' denotes  and '÷' denotes +, then
35 + 7  5 ÷ 5 x 6 = ?

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According to the question,
35 ÷ 7 x 5 + 5  6 = ?
⇒ 5 x 5 + 5  6 = ?
⇒ 25 + 5  6 = ?
⇒ 30  6 = 24Correct Option: B
According to the question,
35 ÷ 7 x 5 + 5  6 = ?
⇒ 5 x 5 + 5  6 = ?
⇒ 25 + 5  6 = ?
⇒ 30  6 = 24
Direction: In each of the following questions, all the equations except one have been solved according to a certain rule. You are required to solve the unsolved equation following the same rule and to choose the correct answer out of the given options.
 4  4 = 12, 6  6 = 30, 2  2 = 2, 8  8 = ?

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As, 4  4 ⇒ 4 x 4  4 = 12
6  6 ⇒ 6 x 6  6 = 30
2  2 ⇒ 2 x 2  2 = 2Correct Option: C
As, 4  4 ⇒ 4 x 4  4 = 12
6  6 ⇒ 6 x 6  6 = 30
2  2 ⇒ 2 x 2  2 = 2
Similarly, 8  8 ⇒ 8 x 8  8 = 56
 9 * 7 = 32, 13 * 7 = 120, 17 * 9 = 208, 19 * 11 = ?

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As, 9 * 7 ⇒ (9 + 7) (9  7) = 16 x2 = 32
13 * 7 ⇒ (13 + 7) (13  7) = 20 x 6 = 120
17 * 9 ⇒ (17 + 9) (17  9) = 26 x 8 = 208Correct Option: C
As, 9 * 7 ⇒ (9 + 7) (9  7) = 16 x2 = 32
13 * 7 ⇒ (13 + 7) (13  7) = 20 x 6 = 120
17 * 9 ⇒ (17 + 9) (17  9) = 26 x 8 = 208
Similarly, 19 * 11 ⇒ (19 + 11) (19  11) = 30 x 8 = 240
∴ ? = 240