Another Peek Beyond the Point — Question 11

Let A = 245.05, B = 0.942368, C = 7.9682 We note that B < 1 and C > 1 (a) Now A × B = 245.05 × 0.942368 < 245.05 (∴ Multiplying a number by a value less than 1 results in a smaller number) (b) A × C = 245.05 × 7.9682 > 245.05 (Multiplying a number by a value greater than 1 results in a larger number) (c) A ÷ C = 2.4505 ÷ 7.9682 < 245.05 (Dividing a number by a value greater than 1 results in a smaller number) (d) A ÷ B = 245.05 ÷ 0.942368 > 245.05 (Dividing a number by a value greater than 1 results in a larger number) (e) Now, expression less than 245.05 ∴ 0.942368 is closer to 1 than 7.9682 is to 1. 0.942368 will result in a value closer to 245.05 than dividing by 7.9682. ∴ (c) < (a) Again, 0.942368 is closer to 1 than 7.9682 is to 1. ∴ Dividing by 0.942368 will result in a value closer to 245.05 than multiplying by 7.9682. ∴ (d) < (b) Also, (f) 7.9682 is significantly smaller than 245.05; it will be the smallest value. (f) ∴ 7.9682 < (e) 245.05 ÷ 7.9682 Combining all, we get (f), (c), (a), (e),(d), (b).