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Real Numbers Maths - Real Numbers

Maharashtra Board - STD 10 - Maths (MSBSHSE - Semi English Medium). 195 questions in this chapter.

Question types

Real Numbers question types

195 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

195
Questions
6
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
A number when divided by $143$ leaves $31$ as remainder. What will be the remainder when the same number is divided by $13?$
  • A
    $0$
  • B
    $1$
  • C
    $3$
  • ✓
    $5$

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark
$\operatorname{HCF}$ of $\left(2^3 \times 3^2 \times 5\right),\left(2^2 \times 3^3 \times 5^2\right)$ and $\left(2^4 \times 3 \times 5^3 \times 7\right)$ is:
  • A
    $30$
     
  • B
    $48$
     
  • ✓
    $60$
     
  • D
    $105$

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark
$a$ and $b$ are two positive integers such that the least prime factor of a is $3$ and the least prime factor of b is $5.$ Then, the least prime factor of $(a + b)$ is:
  • ✓
    $2$
  • B
    $3$
  • C
    $5$
  • D
    $8$

Answer: A.

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Q 184 Marks Questions4 Marks
The traffic lights at three different road crossing change after every $48$ secons, $72$ seconds and $108$ seconds respectively. If they all change simultaneously at $8 a.m.$ then at what time will they again change simultaneously?
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Q 204 Marks Questions4 Marks
Three measuring rods are $64\ cm,$ $80\ cm$ and $96\ cm$ in length. Find the least length of cloth that can be measured an exact number of times, using any of the rods.
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Q 241 Marks Question1 Mark
Without actual division, show that the following rational numbers is a non-terminating repeating decimal:
$\frac{129}{\big(2^2\times5^7\times7^5\big)}$
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Q 285 Marks Question5 Marks
Prove that $\frac{2}{\sqrt7}$ is an irrational number.
HINT: $\frac{2}{\sqrt7}=\Big(\frac{2}{\sqrt7}\times\frac{\sqrt7}{\sqrt7}\Big)=\frac{2}{7}.\sqrt7$
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