This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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10 ଥର
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Question 1: In the 'Bishala Hajar' (Large Thousand) naming, only the '+1000' button is available. How many times should it be pressed to show the numbers given below?
a) ତିନିହଜାର ? 3 ଥର This is an example. "ତିନିହଜାର" means 3000. Number of presses = . The example is correct.
b) 10,000 ? .......... ଥର Step 1: The target number is 10,000. Step 2: The button adds 1000. Step 3: Divide the target number by the button value. The button should be pressed 10 times.
c) ଷୋଳ ହଜାର ? .......... ଥର Step 1: "ଷୋଳ ହଜାର" means 16,000. Step 2: The button adds 1000. Step 3: Divide the target number by the button value. The button should be pressed 16 times.
d) 90,000 ? .......... ଥର Step 1: The target number is 90,000. Step 2: The button adds 1000. Step 3: Divide the target number by the button value. The button should be pressed 90 times.
e) ଏକ ଲକ୍ଷ ? .......... ଥର Step 1: "ଏକ ଲକ୍ଷ" means 100,000. Step 2: The button adds 1000. Step 3: Divide the target number by the button value. The button should be pressed 100 times.
f) .......... ? 153 ଥର Step 1: The button is pressed 153 times. Step 2: Each press adds 1000. Step 3: Multiply the number of presses by the button value. The number shown will be 153,000.
g) ଏକ ଲକ୍ଷ ବେସଠି ହଜାର ଆଠଶହ ? .......... ଥର Step 1: "ଏକ ଲକ୍ଷ ବେସଠି ହଜାର ଆଠଶହ" means 160,800. Step 2: The button adds 1000. Step 3: To reach 160,800 exactly, the number must be a multiple of 1000. Since 160,800 is not a multiple of 1000 (it has 800 in the hundreds place), it is not possible to reach this exact number by only pressing a '+1000' button. (It is not possible to get this number)
Question 2: In the 'ଦଶିଆ ପଦକ' (Tens Button) naming, only the '+10' button is available. How many times should it be pressed to show the numbers given below?
a) ପାଞ୍ଚ ଶହ ? 5 ଥର Step 1: "ପାଞ୍ଚ ଶହ" means 500. Step 2: The button adds 10. Step 3: Divide the target number by the button value. The button should be pressed 50 times. (Note: The example provided in the question, "5 ଥର", is incorrect based on the rule.)
b) 780 ? .......... ଥର Step 1: The target number is 780. Step 2: The button adds 10. Step 3: Divide the target number by the button value. The button should be pressed 78 times.
c) 1000 ? .......... ଥର Step 1: The target number is 1000. Step 2: The button adds 10. Step 3: Divide the target number by the button value. The button should be pressed 100 times.
d) 3700 ? .......... ଥର Step 1: The target number is 3700. Step 2: The button adds 10. Step 3: Divide the target number by the button value. The button should be pressed 370 times.
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In the 'Bishala Hajar' (Large Thousand) naming, only the '+1000' button is available.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.