There is a number less than 3000 that when divided by 2 leaves a
remainder of 1, when divided by 3 leaves a remainder of 2, when
divided by 4 leaves a remainder of 3, When divided by 5 leaves a
remainder of 4, when divided by 6 leaves a remainder of 5, and so on up to nine.
What is that number?
An 8-inch model screw, tested in a water tunnel at a rotational speed of 22.5 revolutions per second and a velocity of flow of 12 feet per second, yields a…
Four words with the letters SNT, in that order, have all their other letters removed. You must use the letters below to fill in the blanks.
_ _ S _ N T _ _ _
S _ _ N T
S _ N _ _ T
S _ _ _ N T
Letters to use: A, A, E, E, E, I, I, L, L, Q, S, S, U, U
A team of 6 girls and 4 boys put together a 2200-piece jigsaw puzzle in 4 hours. The same jigsaw puzzle was put together in 8 hours by a team of two girls and five boys.
Who are better at putting jigsaw puzzles together, boys or girls, and by how much?
If we know the volumetric flow rates of the water going into the two branches, then what would be the velocity of the water coming out?
A 25 ft ladder (assume it is not an extension ladder) is placed with its foot 7 ft away from a building. If the top of the ladder slips down 4 ft, how many feet will the bottom slide out?
There are 5 ships in a port
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its l.c.m of (2, 3, 4, 5, 6, 7,8 ,9)k – 1
i found l.c.m = 2520
and k may be any natural no.
and reason for subtracting 1 is that is the common difference between every divisor and its corresponding remainder.
so the ans may be 2519 , 5039 and so on
but its given the no. should be less than 3000
so the final answer is 2519.
its very easy.
2519. This is how it’s done:
2=2
3=3
4=2×2
5=5
6=2×3
7=7
8=2x2x2
9=3×3
number=2x3x2(we already have a 2 for 4)x5x7(we skiped 6, because the number is a multiple of 6 already)x2x3 – 1.
why -1?
because for 2, the smallest number is 2×2-1, for 3 is 3×2-1, for 4 is 4×2-1, and so on.
the condition is that our number is more than, or equals 10×2-1, and it does.
The number is 2519. Found on a TI 84+, using sequence command in the stat are of the calculator.
Great brain teaser!
R