Decimal representation of rational numbers - class-IX

Understanding integral and fractional parts of decimal numbers

20 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

The number having no reciprocal is

  1. $2$
  2. $1$
  3. $-1$
  4. $0$
Question 2 Multiple Choice (Single Answer)

The decimal part of $9.99$ is

  1. $0.99$
  2. $9$
  3. $8$
  4. $0.98$
Question 3 Multiple Choice (Single Answer)

The integral part of $3.89$ is

  1. $3$
  2. $0.89$
  3. $4$
  4. None of these
Question 4 Multiple Choice (Single Answer)

The integral part of $4.20$ is

  1. $4$
  2. $2$
  3. $3$
  4. None of these
Question 5 Multiple Choice (Single Answer)

The decimal part of $4.20$ is

  1. $4$
  2. $0.20$
  3. $2$
  4. None of these
Question 6 Multiple Choice (Single Answer)

The decimal part of $3.89$ is

  1. $3$
  2. $0.79$
  3. $0.89$
  4. None of these
Question 7 Multiple Choice (Single Answer)

The integral part of $9.99$ is

  1. $9$
  2. $8$
  3. $7$
  4. None of these
Question 8 Multiple Choice (Single Answer)

The integral part of $63.281$ is?

  1. $63$
  2. $0.281$
  3. $26$
  4. $5$
Question 9 Multiple Choice (Single Answer)

Fractional Part of $2.056$ is?

  1. $0.056$
  2. $0.05$
  3. $0.5$
  4. $0.66$
Question 10 Multiple Choice (Single Answer)

The fractional part of $28.13$ is?

  1. $0.13$
  2. $28.1$
  3. $2.81$
  4. $13.28$
Question 11 Multiple Choice (Single Answer)

The integral part of $78.027$ is?

  1. $24$
  2. $0.27$
  3. $78$
  4. $38$
Question 12 Multiple Choice (Single Answer)

The number obtained by interchanging integral part and fractional part of $45.01$ is?

  1. $1.45$
  2. $10.45$
  3. $11.45$
  4. $1.045$
Question 13 Multiple Choice (Single Answer)

Integral part of $034.098$ is :

  1. $34$
  2. $09$
  3. $098$
  4. $0.098$
Question 14 Multiple Choice (Single Answer)

Number obtained by incrementing an integral part of $27.25$ by $1$ is?

  1. $35.26$
  2. $28.25$
  3. $26.25$
  4. $16.25$
Question 15 Multiple Choice (Single Answer)

The Number obtained by interchanging the integral and fractional part of $50.23$ is?

  1. $23.05$
  2. $23.5$
  3. $32.05$
  4. $23.4$
Question 16 Multiple Choice (Single Answer)

The number obtained on interchanging the integral and fractional part of $26.081$ is

  1. $18.026$
  2. $260.81$
  3. $81.26$
  4. $81.62$
Question 17 Multiple Choice (Single Answer)

Number of solutions of the equation $[2x]-3{2x}=1$ is?

(where $[\cdot]$ and ${\cdot }$ denote greatest integer an fractional part function respectively).

  1. $1$
  2. $2$
  3. $3$
  4. $0$
Question 18 Multiple Choice (Single Answer)

Integral part of $05.89$ is?

  1. $5$
  2. $89$
  3. $2$
  4. $3$
Question 19 Multiple Choice (Single Answer)

If a and b are any two such real numbers that ab $ = 0 $ , then

  1. $a = 0, b \leq 0$
  2. $b = 0, a \leq 0$
  3. a = 0 or b = 0 or both
  4. $a = b$ and $b = 0$