Express the decimal 0 . 37 in the form of p q .

Given, 0 . 37 The number of digits in the decimal part of 0 . 37 is 2 . First remove the decimal i.e. 037 100 Since there are no calculations, Hence, the p q form of 0 . 37 is 37 100 .

Express the decimal 0 . 37 in the form of p q .

Given, 0 . 37 The number of digits in the decimal part of 0 . 37 is 2 . First remove the decimal i.e. 037 100 Since there are no calculations, Hence, the p q form of 0 . 37 is 37 100 .

EASY

Earn 100

Express the decimal $0.37$ in the form of $\frac{p}{q}$ .

Important Questions on Number Systems

HARD

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

Let

n > 1

be an integer. Which of the following sets of numbers necessarily contains a multiple of

3

MEDIUM

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

There are exactly twelve Sundays in the period from January

1

to March

31

in a certain year. Then, the day corresponding to February

15

in that year is

MEDIUM

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

The number of distinct primes dividing

12! + 13! + 14!

HARD

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

The function

f : N \to I

defined by

f (x) = x - 5 [\frac{x}{5}]

, where

N

is the set of natural numbers and

[x]

denotes the greatest integer less than or equal to

x

, is:

EASY

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

Which one of the following decimal numbers is a rational number with denominator $37$ ?

MEDIUM

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

The number of digits in the decimal expansion of

16^{5} 5^{16}

MEDIUM

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

The number of positive integers

n

in the set

\{2, 3, \dots . ., 200\}

such that

\frac{1}{n}

has a terminating decimal expansion is

EASY

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

The sum of three consecutive numbers is $126$ . Find the highest number-

1. $41$
2. $42$
3. $43$
4. $44$

EASY

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

Which one of the following is a non - terminating repeating decimal?

MEDIUM

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

How many natural numbers

n

are there such that

n! + 10

is a perfect square ?

HARD

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

For a real number

r

we denote by

[r]

the largest integer less than or equal to

r

. If

x, y

are real numbers with

x, y \geq 1

then which of the following statements is always true?

EASY

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

The terminating decimal expansion of the number

\frac{337}{125}

is _____

HARD

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

For a real number

r

let

[r]

denote the largest integer less than or equal to

r .

Let

a > 1

a real number which is not an integer and

k

be the smallest positive integer such that

[a^{k}] > {[a]}^{k}

Then which of the following statement is always true?

MEDIUM

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

The largest non-negative integer

k

such that

24^{k}

divides

13!

EASY

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

How many times does the number $3$ occur in unit's place for numbers ranging from $1$ to $100$ ?

1. $20$
2. $11$
3. $10$
4. $19$

EASY

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

Twice the difference between two numbers is equal to their sum. If one number is $15$ , Find the other number.

1. $15$
2. $10$
3. $5$
4. $20$

MEDIUM

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

A number of two digits is equal to '

k

' times to the sum of these digits. If the places of these digits are mutually exchanged. the newly formed number is equal to the sum of these digits multiplied by which one of the following options ?

MEDIUM

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems

Consider the following statements: For any integer $n,$

I.. $n^{2} + 3$ is never divisible by $17$ .

II.. $n^{2} + 4$ is never divisible by $17$ . Then

EASY

Quantitative Ability>Arithmetic>Number Systems>Basics of Number Systems