Question : What is the value of ‘a’ in the below equation? {(5 × 5 × 5 × 5 × 5 × 5)5 × (5 × 5 × 5 × 5 × 5)8} ÷ (5 × 5) = (625)a
Option 1: 14
Option 2: 17
Option 3: 16
Option 4: 15
Correct Answer: 17
Solution : Given: {(5 × 5 × 5 × 5 × 5 × 5)5 × (5 × 5 × 5 × 5 × 5)8} ÷ (5 × 5) = (625)a ⇒ {(56)5} × (55)8} ÷ (52) = (625)a ⇒ {530 × 540} ÷ 52 = 625a ⇒ 5(30 + 40 – 2) = (54)a ⇒ 54a = 568 ⇒ 4a = 68 $\therefore$ a = 17 Hence, the correct answer is 17.
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Question : Directions: If ‘+’ means ‘–’, ‘–’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, then what will come in place of the question mark (?) in the following equation?
124 × 4 ÷ 13 – 3 + 36 = ?
Option 1: 31
Option 2: 34
Option 3: 45
Option 4: 42
Question : Solve the following equation. 123 × (162 − 142 − 40) ÷ 2 − 94 = ________.
Option 1: 17280
Option 2: 6561
Option 3: 10719
Option 4: 9865
Question : Directions: If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression? 20 ÷ 2 + 4 – 8 × 4 = ?
Option 2: 10
Option 3: 8
Option 4: 4
Question : Directions: If A denotes ‘+’, B denotes ‘×’, C denotes ‘−’, and D denotes ‘÷’, then what will come in place of ‘?’ in the following equation?
145 A 27 D 3 B ? = 163
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 6
Question : Find the value of $a$ in the following equation. (Given $a<10 $) $\frac{(187 \div 17 \times a-3 \times 3)}{\left(8^2-9 \times 7+a^2\right)}=1$
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 3
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