 ## Linear Equations Test 1

Instructions

For the following questions answer them individually

Q 1

King Mohammad bin Tuglaq disliked normalcy and so introduced paise instead of rupees - 1 paise, 10 paise and 100 paise coins during his tenure. Bholu was a farmer in his times that had to pay land tax of 251 paise every month. Living in Tuglaq’s kingdom, Bholu also disliked normalcy. He had a habit of paying tax with different denominations each time. How many months can Bholu pay the tax before he runs out of options?

Q 2

A shopkeeper wrongly calculated the income for the day’s sales by interchanging the tens and units digit of the number of items sold. If the number of items sold is less than 100 and the price of each item is an integer greater than 100, what is the actual number of items sold, if the calculated income is more than the actual income by 3438 rupees?

Q 3

After the impending birth of identical twins, the percentage of boy grandchildren of Old Johnny will be either 33.33% or 44.44%. Find the total number of grandchildren Old Johnny has right now (excluding twins).

Q 4

A shopkeeper wrongly calculated the revenue of a day by interchanging the units and tens digits of the number of items sold. The number of items sold is less than 100 and the price of each item is less than 85 (price is also an integral value). If the calculated value of revenue is more than the actual revenue by 3348, which of the following can the number of items actually sold?

Q 5

F(x) = $$a_0 + a_1x + a_2x^2 + ... + a_nx^n$$ , where $$a_0, a_1, ..., a_n$$ are non-negative integers. If F(1) = 4 and F(F(1)) = 82, find the value of F(5)