Question
A rectangular wheat field has an area of 1682 sq.metres
whereas its perimeter is 29 x 3 x 2 metres. If the length and breadth are positive integers, then find the perimeter. (It is known that a, b, c are positive integers.)Solution
The expression for the perimeter shows that the perimeter has the factors 29, 3, and 2 to some powers a, b, and c respectively. So, let us factoise the options: 174 = 2 × 3 × 29 58 = 2 × 29 116 = 2 × 2 × 29 87 = 3 × 29 From the above, we can see that only option 1 has all three as its factors. ∴ The perimeter of the field is 174 m.
(98.999)2 - (9.9)2 - (14.9)2 = ?
40.05% of 210.05 – 10.15% of 109.99 × 5.02 = ?
14.2% of 7200 + 2.8% of 6400 =?
√3970 × √730 - √2400 = ?
25.13% of 39.89% of 74.78% of 60.21% of ? = 44.89
15.22 × 9.99 + 150.15 = ?
Find the approximate value of Question mark(?). There is no requirement to find the exact value.
? = 499.87 – 24.95 × 14.04 + (20.15)²
- 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.)
(98.03 + 186.98) ÷ 19.211 = 89.9 – 20.23% of ?
4821.49 - 3123.87 + 5643.92 + ? = 11500.68
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