Which is greater? `1/2\ of6/7\ or2/3\ of3/7\ `

Which is greater? 2/7\ of3/4 or   3/5of5/8\

Which is greaster : 2/7 of 3/4 or 3/5 of 5/8 (ii) 1/2 of 6/7 or 2/3 of 3/7

Which is greater: (3)/(5) of (1)/(4) or (2)/(7) of (5)/(8) ?

Which is greater: (3)/(11) of (2)/(5) or (4)/(7) of (5)/(8) ?

Which ratio is greater ? (3 : 4) or (5 : 7)

Which is greater in each of the following: (i) 2/3, 5/2 (ii) (-5)/6, (-4)/3 (iii) (-3)/4, 2/(-3) (iv) (-1)/4, 1/4 (v) -3 2/7, -3 4/5

Which of the following is greater ? 7/8.(6)/7

Which of the following is an orthogonal matrix ? ( ⎡ ⎢ ⎣ 6 / 7 2 / 7 − 3 / 7 2 / 7 3 / 7 6 / 7 3 / 7 − 6 / 7 2 / 7 ⎤ ⎥ ⎦ (b) ⎡ ⎢ ⎣ 6 / 7 2 / 7 3 / 7 2 / 7 − 3 / 7 6 / 7 3 / 7 6 / 7 − 2 / 7 ⎤ ⎥ ⎦ (c) ⎡ ⎢ ⎣ − 6 / 7 − 2 / 7 − 3 / 7 2 / 7 3 / 7 6 / 7 − 3 / 7 6 / 7 2 / 7 ⎤ ⎥ ⎦ (d) ⎡ ⎢ ⎣ 6 / 7 − 2 / 7 3 / 7 2 / 7 2 / 7 − 3 / 7 − 6 / 7 2 / 7 3 / 7 ⎤ ⎥ ⎦

The greatest of the numbers 2^(1/2), 3^(1/3), 4^(1/4), 5^(1/5), 6^(1/6) and 7^(1/7) is