What should come at the place of ‘x’ in the following equation?
1252 × 57 ÷ 252 × 100 ÷ 8 = 125 × 8 × 58 ÷ 16xGiven equation,
⇒ 1252 × 57 ÷ 252 × 100 ÷ 8 = 125 × 8 × 58 ÷ 16x
Taking into base factors,
⇒ 56 × 57 ÷ 54 × 52 × 22 ÷ 23 = 53 × 23 × 58 ÷ 24x
⇒ 5(6 + 7 – 4 + 2) × 2(2 – 3) = 5(8 + 3) × 2(3 – 4x)
⇒ 511 × 2-1 = 511 × 2(3 – 4x)
⇒ 5(11 – 11) = 2(3 – 4x + 1)
⇒ 50 = 2(4 – 4x)
⇒ 1 = 2(4 – 4x)
⇒ 20 = 2(4 – 4x)
Equating powers,
⇒ 4 – 4x = 0
⇒ x = 12. What will come in place of question mark (?) in the following question? (√5)n = 15625, then n3 = ?
5. Find the wrong term in the following number series: 2, 3, 9, 27, 112, 565, 3396
6. What should come in place of question mark (?) in the following question? 87146 – 66425 – 15693 =?
10. What should come in place of ‘?’ in the following number series? 7, 8, 11, 20, ?