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Question
Supply the missing information for diagram.
Solution
If 5 cm long piece inserted in single machine, then it produce 15 cm long piece.
So, it is (×5) repeated machine.
∴ ? = 5
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RELATED QUESTIONS
Simplify :
(– 4)5 × (– 4)-10
For a non-zero integer x, (x4)–3 is equal to ______.
The value of [2–1 × 3–1]–1 is ______.
`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`
Simplify:
`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`
The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after 24 hours?
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.
- Make a table showing the insect’s location for the first 10 hops.
- Where will the insect be after n hops?
- Will the insect ever get to 1? Explain.
Fill in the blanks
Find a single repeater machine that will do the same work as hook-up.
Long back in ancient times, a farmer saved the life of a king’s daughter. The king decided to reward the farmer with whatever he wished. The farmer, who was a chess champion, made an unusal request:
“I would like you to place 1 rupee on the first square of my chessboard, 2 rupees on the second square, 4 on the third square, 8 on the fourth square, and so on, until you have covered all 64 squares. Each square should have twice as many rupees as the previous square.” The king thought this to be too less and asked the farmer to think of some better reward, but the farmer didn’t agree.
How much money has the farmer earned?
[Hint: The following table may help you. What is the first square on which the king will place at least Rs 10 lakh?]
| Position of Square on chess board |
Amount (in Rs) |
| 1st square | 1 |
| 2nd square | 2 |
| 3rd square | 4 |
