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Binomial expansion: (x + y)n = C0 xn + C1 xn-1 y + C2 xn-2y2 + ….+ Cnyn Putting x = y = 1, we get 2n = C0 + C1 + C2 + ….+ Cn = 16384 = 214 => n = 14 Since n is even here, so the coefficient of greatest term is n Cn/2 = 14C14/2 = 14C7 = 13 × 2 × 11 × 2 × 3 × 2 = 3432
1000÷ 250 = ( 3√? × √1444) ÷ ( 3√512 × √361)
1540 ÷ 7 - 184 ÷ 8 = ?
12.232 + 29.98% of 539.99 = ? × 5.99
√256 * 3 – 15% of 300 + ? = 150% of 160
18 × 15 + 86 – 58 =? + 38
[5 X {(52 X 5) - 10} + 50 of 20] = ?
4(1/3) × 2(11/14) = 50% of ? + 86/11
(15 x 6 + 60% of 500 - 16 x 7) = ?
25% of 140 + 2 × 8 = ? + 9 × 5
If a nine-digit number 389x6378y is divisible by 72, then the value of √(6x + 7y) will be∶