Question 5 - Mix Questions (Page 20 & 21) - Chapter 1 Class 7 - Large Numbers Around us (Ganita Prakash)

Transcript

Question 5 The words ‘zero’ and ‘one’ share letters ‘e’ and ‘o’. The words ‘one’ and ‘two’ share a letter ‘o’, and the words ‘two’ and ‘three’ also share a letter ‘t’. How far do you have to count to find two consecutive numbers which do not share an English letter in common?Let's examine the letters present in the spellings of consecutive numbers: Zero (Z, E, R, O) and One (O, N, E) share 'E' and 'O'. One (O, N, E) and Two (T, W, O) share 'O'. Two (T, W, O) and Three (T, H, R, E) share 'T'. Three (T, H, R, E) and Four (F, O, U, R) share 'R', 'O', and 'E'. Four (F, O, U, R) and Five (F, I, V, E) share 'F' and 'E'. Five (F, I, V, E) and Six (S, I, X) share 'I'. Six (S, I, X) and Seven (S, E, V, E, N) share 'S'. Seven (S, E, V, E, N) and Eight (E, I, G, H, T) share 'E' and 'T'. Eight (E, I, G, H, T) and Nine (N, I, N, E) share 'E' and 'I'. Nine (N, I, N, E) and Ten (T, E, N) share 'N' and 'E’. As you continue to count, you'll find that the letters 'E', 'O', 'N', and 'T' are extremely common in the English spellings of numbers. Most numbers contain the letter 'E' (e.g., one, three, five, seven, eight, nine, ten, eleven, twelve, fifteen, seventeen, nineteen, twenty, hundred). The letter 'O' is also very frequent (e.g., zero, one, two, four, thousand). Thus, we will never find two consecutive numbers that do not share an English letter in common. Therefore, you would have to count to infinity (or simply, never)