CMAT Number Systems Questions

The sum of three consecutive odd numbers is always divisible by:
A. 2
B. 3
C. 5
D. 6
Choose the correct answer from the options given below:

The digit in the unit's place of the resulting number of the expression $$ 48 \left(234\right)^{100}+\left(234\right)^{101}$$ is

Arrange the following in descending order
(A) $$3^{3^{3^{3}}}$$
(B) $$3^{(33)^{3}}$$
(C) $$(3^3)^{33}$$
(D) $$3^{333}$$
Choose the correct answer from the options given below :

Arrange the following in increasing order:

A) $$\sqrt[4]{3}$$
B) $$\sqrt[3]{2}$$
C) $$\sqrt[6]{5}$$
D) $$\sqrt[6]{7}$$

Choose the correct answer from the options given below :

If abc > 0, such that a,b,c are integers then which of the following must be true?

Arrange the following surds in increasing order :
(A) $$\sqrt[3]{2}$$
(B) $$\sqrt{3}$$
(C) $$\sqrt[4]{5}$$
(D) $$\sqrt[6]{7}$$
Choose the correct answer from the options given below :

If the digit in the unit's place of a two-digit number is halved and the digit in ten's place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?

There are two numbers which are greater than 21 and their LCM and HCF are 3003 and 21 respectively. What is the sum of these numbers?