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# Real Numbers

10th Class - CBSE - Mathematics - 695 Questions - 0 Concepts

#### Important Questions

Q1 Single Correct Hard
When a natural number x is divided by 5, the remainder is 2. When a natural number y is divided by 5, the remainder is 4. The remainder is z when x+y is divided by 5. The value of $\dfrac { 2z-5 }{ 3 }$ is
• A. 1
• B. -2
• C. 2
• D. -1

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q2 Subjective Hard
If the decimal $0.d25d25d25....$ is expressible in the form $\dfrac{n}{27}$, then find the value of $d+n$

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q3 Subjective Hard
Prove that $3+\sqrt{5}$ is an irrational number.

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q4 Single Correct Hard
The value of $0.\overline { 2 }+0.\overline { 3 }+0.\overline { 4 }+0.\overline { 9 }+0.\overline { 39 }$ is
• A. $0.\overline { 57 }$
• B. $\displaystyle 1\frac{20}{33}$
• C. $\displaystyle 2\frac{1}{3}$
• D. $\displaystyle 2\frac{13}{33}$

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q5 Subjective Hard
Find the HCF of 105 and 1515 by prime factorisation method and hence find its LCM.

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q6 Subjective Hard
If $25025 = p_1^{x_1}.p_2^{x_2}.p_3^{x_3}.p_4^{x_4}$ find the value of $p_1, p_2, p_3, p_4$ and $x_1, x_2, x_3, x_4$.

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q7 Subjective Hard
Prove that the product of three consecutive positive integers is divisible by 6.

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q8 One Word Hard
Use Euclid's division algorithm to find the HCF of the following number: 305 and 793

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q9 Subjective Hard
Express $6762$ as a product of prime factors

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Q10 Subjective Hard
Show that any positive even integer is of the form $4q$ or $4q+2$, where $q$ is a whole number.

Asked in: Mathematics - Real Numbers

1 Verified Answer | Published on 25th 08, 2020

Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65