Three numbers are in the ratio 2:3:4. The sum of their cubes is 0.334125. Find the numbers.
Find the square root of 324 by the method of repeated subtraction.
Find the smallest square number divisible by each one of the numbers
8, 9 and 10.
Find three numbers in the ratio 2:3:5, the sum of whose squares is
608.
A king wanted to reward his advisor, a wise man of the kingdom. So
he asked the wiseman to name his own reward. The wiseman thanked
the king but said that he would ask only for some gold coins each
day for a month. The coins were to be counted out in a pattern of one
coin for the first day, 3 coins for the second day, 5 coins for the third
day and so on for 30 days. Without making calculations, find how
many coins will the advisor get in that month?
A 5.5m long ladder is leaned against a wall. The ladder reaches the
wall to a height of 4.4m. Find the distance between the wall and the
foot of the ladder.
Rahul walks 12m north from his house and turns west to walk 35m
to reach his friend’s house. While returning, he walks diagonally
from his friend’s house to reach back to his house. What distance
did he walk while returning?
8649 students were sitting in a lecture room in such a manner that
there were as many students in the row as there were rows in the
lecture room. How many students were there in each row of the lecture
room?
A General wishes to draw up his 7500 soldiers in the form of a square.
After arranging, he found out that some of them are left out. How
many soldiers were left out?
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