Question
Find the fourth proportion of (2k), (3k), and (4k + 8).
(Note: 'k' is the smallest two-digit prime number.)Solution
k = 11
2k = 22
3k = 33
4k + 8 = 44 + 8 = 52
22 : 33 :: 52 : m
22m = 33 Γ 52 = 1716
m = 1716 Γ· 22 = 78
13³ + 1.3² + 1.03¹ + 1.003 = ?
? = 54.89 Γ 270.08 Γ· 135.17 + 464.35 Γ· 29.03
(4.88 Γ 5.76)2 - ?2 = 39.89 Γ 19.86
115.98 + 109.01 + (β575 - 17) X 20.09 - 204.89 + 38.03 = ?
? + 154.99 β 110.01 = 30.01 Γ 4.98
? = (7.11/2.12) + (10.88/4.09) + (45.12/11.98)
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
(48.89 Γ· 7.08) Γ (35.96 Γ· 4.11) + (9.02 Γ 1.99) = ?
999.99 + 99.99 + 99 = ?
A number is first increased by 35% and then decreased by 35%. If the net change in the number is 302.5, then find the original number.