1

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

View Answer

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

View Answer
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

View Answer
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

View Answer
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

View Answer
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

View Answer

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

View Answer
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

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

Asked in: Mathematics - Real Numbers


1 Verified Answer | Published on 25th 08, 2020

View Answer
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

View Answer
Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65
Enroll Now For FREE