Question
Download Solution PDFWhat value should come in the place of question mark (?) in the following question:
(12 × 12)3 ÷ (144 × 12)3 × (20736)2 = 12?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(12 × 12)3 ÷ (144 × 12)3 × (20736)2 = 12?
Formula used:
am ÷ an = am-n and (ab)n = an × bn
Calculation:
(12 × 12)3 ÷ (144 × 12)3 × (20736)2 = 12?
⇒ (122)3 ÷ (122 × 12)3 × (124)2 = 12?
⇒ 126 ÷ 129 × (124)2 = 12?
⇒ 126 ÷ 129 × (124)2 = 12?
⇒ 126 ÷ 129 × 128 = 12?
⇒ 126 - 9 + 8 = 12?
⇒ 125 = 12?
⇒ ? = 5
∴ The correct answer is option (1).
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