R. S. Aggarwal Solutions for Chapter: Numbers, Exercise 3: Exercise

Let $\mathrm{abc}$ be a three-digit number and $3$ does not divide it. Then $\mathrm{abc}+\mathrm{bca}+\mathrm{cab}$ is not divisible by:

A ball is dropped from a height of $200 \mathrm{m}.$ After striking the floor it re-bounces to $\frac{4}{5}\mathrm{th}$ of the height from where it fell. The total distance it travels before coming to rest is:

The sum of all two digit numbers that give a remainder $2$ when they are divided by $7$ is:

If $\mathrm{x}=3+2\sqrt{2}$ what will be the value of ${\mathrm{x}}^2+\frac{1}{{\mathrm{x}}^2} ?$ 

The unit digit in the final solution when, ${13}^{*}{27}^{*}{63}^{*}51*98*46$ is:

There are nine humans in a ship, each human has nine cages and each cage has nine huge lions and each lion has nine cubs. How many legs are there in the ship?

(Human have two legs, lions have four legs, cubs have four legs.)

A crate of mangoes contains one bruised mango for every $30$ mangoes in the crate. If $3$ out of every $4$ bruised mangoes are considered unsalable, and there are $12$ unsalable mangoes in the crate, how many mangoes are there in the crate?

In Arun's opinion, his weight is greater than $65$ kg but less than $72$ kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than $60$ kg but less than $70$ kg. His mother's view is that his weight cannot be greater than $68$ kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?