Series is
Odd position number is addition of 4 in previous odd positioned number
Even placed number is addition of 1 in previous number
3, 4, 7, 8, 11, 12, 15, 16, 19, 20
This is the series of squares and cubes of non-negative integers. 0 squared, 0 cubed, 1 squared, 1 cubed, 2 squared, 2 cubed, etc. So the next number in the series is 4 cubed, or 64.
13112221. Each number describes the previous number. Starting with 1, the second line describes it 11 (one 1). Then the third line describes 11 as 21 (two 1's). Then the fourth line describes 21 as 1211 (one 2, one 1). This is the pattern.
"Samosa King" food delivery sells samsoas in orders of six, nine, and twenty.
What is the largest number of samosa's you cannot order from "Samosa King"?
Since you can buy 6 and 9, you can buy any number divisible by 3 except for 3 itself.
Let's look at numbers over 40. If a number is over 40 is not divisible by 3, you can get a number divisible by 3 by subtracting either 20 or 40.
For 43, you may subtract 40 to get the number 3. But you cannot buy packs if 3, you can only get greater multiples of 3.
For all numbers greater than 43, the number will be divisible by 3 and greater than three, or you can subtract 20 or 40 and get a number that is divisible by 3 and greater than 3.
So you can create any number greater than 43 with 0, 1 or 2 packs of 20, 0 or 1 packs of 9, and n number of packs of 6, where n can be any integer.
Pankhudi has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.
If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?
OPtion
1) 2 minutes
2) 3 and half minutes
3) 4 minutes
4) 300 seconds
5) 2 and half minutes
6) 180 seconds
7) 240 seconds
8) 600 seconds
9) 5.5 minutes
10) None of these
Solution
3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done.
Students attend our lectures, not because the mathematics we teach ‘makes lots of fun’ for us, but because they believe they can learn some essential knowledge from us. And each of our young students has only one life to live. We should therefore be a
H. Behnke
Don't learn Mathematics just to prove that you are not a mentaly simple person but learn it to prove that you are enough intelligent