${16}^5+2^{15}$ is divisible by: 

Important Questions on Number Systems

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 14

If $AB+XY=1XP$, where $A\ne 0$ and all the letters signify different digit from $0 to 9$, then value of $A$ is:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 15

Find the possible integral values of $x$ in $\left|x-3\right|+2\left|x+1\right|=4$.

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 16

Find the possible integral values of $x$ in $x^2+\left|x-1\right|=1$:

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 17

If $4^{n+1}+x$ and $4^{2n}-x$ are divisible by 5, $n$ being an even integer, find the least value of $x$. 

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 18

If sum of the numbers ${\left(a25\right)}^2$ and $a^3$ is divisible by $9$, then which of the following may be a value of $a$?

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 19

If $|x-4|+|y-4|=4$, then how many integer values can be set $(x,y)$?

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 20

$\left[\frac{3^{32}}{50}\right]$ gives a remainder and $\{.\}$ denotes the fractional part of that. The fractional part is of the form $(0.bx)$. The value of $x$ could be:

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 1 - Number Systems>Level of Difficulty>Q 21

The sum of two numbers is $20$ and their Geometric mean is $20\%$ lower than their arithmetic mean. Find the ratio of numbers.