All 42 questions, with what each one tests. Try any of them free in Gedara Sir to check your answer, with step-by-step working.
Annual rates at 12% of an assessed value of Rs. 90 000
Rs. 10 800
💡 What it's asking: Rates are a tax the council charges each year. It is a percentage of the house's assessed annual value, so we just find 12% of Rs. 90 000.
- Write 12% as a fraction: 12/100.
- Multiply it by the assessed value: 90 000 × 12/100.
- Cancel the two zeros first: 900 × 12 = 10 800.
- So the annual rates are Rs. 10 800.
✅ 10% of 90 000 is 9000, and 12% should be a little more than that, so Rs. 10 800 makes sense.
සිංහලෙන් විසඳුම
වරිපනම යනු නිවසේ තක්සේරු වාර්ෂික වටිනාකමින් ප්‍රතිශතයක් ලෙස වසරකට ගෙවන බද්දකි. එබැවින් රු. 90 000 න් 12% සොයන්න.
- 12% භාගයක් ලෙස ලියන්න: 12/100.
- එය තක්සේරු වටිනාකමෙන් ගුණ කරන්න: 90 000 × 12/100.
- මුලින්ම බිංදු දෙක කපා හරින්න: 900 × 12 = 10 800.
- එබැවින් වාර්ෂික වරිපනම රු. 10 800 යි.
Write a power of ten in logarithm form
lg x = 0.4969
💡 What it's asking: A logarithm is just the power (index). If 10 raised to some power gives x, then that power is the log of x to base 10.
- Look at the form: x = 10^0.4969. The base is 10 and the power is 0.4969.
- The rule: if x = 10^p, then log₁₀ x = p.
- So log₁₀ x = 0.4969.
- Base-10 logs are usually written 'lg', so lg x = 0.4969.
✅ Go back the other way: lg x = 0.4969 means x = 10^0.4969, which is exactly what you started with.
සිංහලෙන් විසඳුම
ලඝුගණකය යනු දර්ශකයම (බලය) යි. 10 ට යම් බලයක් දුන් විට x ලැබේ නම්, එම බලය 10 පාදයට x හි ලඝුගණකයයි.
- ආකාරය බලන්න: x = 10^0.4969. පාදය 10, දර්ශකය 0.4969.
- නීතිය: x = 10^p නම් log₁₀ x = p.
- එබැවින් log₁₀ x = 0.4969.
- 10 පාදයේ ලඝුගණක සාමාන්‍යයෙන් 'lg' ලෙස ලියයි: lg x = 0.4969.
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