What is the remainder when $4^{44}$ is divided by $15$?

Important Questions on Numbers and Their Properties

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 67

LCM of two integers P and Q is $211$. What is the HCF of P and Q?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 68

How many times does the digit $6$ appear when we count from $11$to $400$?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 69

In Q.$68$, how many numbers will be having $8$ as its digit?

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 70

S is a number formed by writing $8$ for $88$ times. What will be the remainder of this number when divided by $7$?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 71

We are writing all the multiples of $3$ from $111$to $324$. How many times will we write digit $3$?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 72

What is the remainder when $7+77+777+7777+.....$ (till $100$terms) is divided by $8$?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 73

A number has exactly $15$composite factors. What can be the maximum number of prime factors of this number?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 1 - Numbers and Their Properties>Practice Exercises>Q 74

$\mathrm{N}=204\times 221\times 238\times 255\times \dots \times 850$. How many consecutive zeroes will be there at the end of this number N?