Download App

Real Numbers Maths - Real Numbers

Jharkhand Board (JAC) - STD 10 - Maths (Jharkhand - English Medium). 39 questions in this chapter.

Question types

Real Numbers question types

39 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

39
Questions
4
Question groups
5
Question types
Sample Questions

Real Numbers questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
Choose the correct answer from the given four options in the following questions:
If two positive integers $a$ and $b$ are written as $a=x^3 y^2$ and $b=x y^3 ; x, y$ are prime numbers, then $H C F$ ( $a, b$ ) is:
  • A
    $x y$.
  • B
     $x y^2$.
  • C
     $x^3 y^3$.
  • ✓
     $x^2 y^2$.

Answer: D.

View full solution →
Q 2M.C.Q (1 Marks)1 Mark
Choose the correct answer from the given four options in the following questions:$n^2 – 1$ is divisible by 8, if n is:
  • A
    An integer.
  • B
    A natural number.
  • ✓
    An odd integer.
  • D
    An even integer.

Answer: C.

View full solution →
Q 3M.C.Q (1 Marks)1 Mark
Choose the correct answer from the given four options in the following questions:
If two positive integers $p$ and $q$ can be expressed as $p=a b^2$ and $q=a^3 b ; a, b$ being prime numbers, then LCM ( $p, q$ ) is:
  • A
    ab.
  • B
    . $a^2 b^2$.
  • ✓
     $a^3 b^2$.
  • D
    $a^3 b^3$.

Answer: C.

View full solution →
Q 4M.C.Q (1 Marks)1 Mark
Choose the correct answer from the given four options in the following questions:
The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after:
  • A
    One decimal place.
  • B
    Two decimal places.
  • C
    Three decimal places.
  • ✓
    Four decimal places.

Answer: D.

View full solution →
Q 5M.C.Q (1 Marks)1 Mark
Choose the correct answer from the given four options in the following questions:
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is:
  • A
    10.
  • B
    100.
  • C
    504.
  • ✓
    2520.

Answer: D.

View full solution →
Q 62 Marks Questions2 Marks
Write the denominator of the rational number $\frac{257}{5000}$in the form $2^m \times 5^n$, where m, n are non-negative integers. Hence, write its decimal expansion, without actual division.
View full solution →
Q 82 Marks Questions2 Marks
A rational number in it's decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form $\frac{\text{p}}{\text{q}}$? Give reasons.
View full solution →
Q 113 Marks Question3 Marks
A positive integer is of the form $3q + 1$, q being a natural number. Can you write its square in any form other than $3\ m + 1$, i.e., 3m or $3\ m + 2$ for some integer m? Justify your answer
View full solution →
Q 133 Marks Question3 Marks
Without actually performing the long division, find if $\frac{987}{10500}$ will have terminating or non-terminating (repeating) decimal expansion. Give reasons for your answer.
View full solution →
Q 145 Marks Questions5 Marks
Show that one and only one out of n, n + 4, n + 8, n + 12 and n + 16 is divisibleby 5, where n is any positive integer.
[Hint: Any positive integer can be written in the form 5q, 5q+1, 5q+2, 5q+3, 5q+4].
View full solution →
Browse all question groups ↑

Generate a Real Numbers paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll Maths chapters