Number System questions are a staple in almost every competitive exam, including <a href="https://ssc.gov.in/">SSC</a> CGL, and typically carry a weightage of 2–3 questions (around 4–6 marks). To secure a good rank, it’s essential to have solid practice across a variety of Number System problems. In this blog we’ll cover the important points and questions of this topic. <h2 id="content-id-127811-0">Here are a few tips for mastering Number System Questions</h2> <ul> <li>Develop a strong understanding of key concepts like prime numbers, factors, multiples, LCM, and HCF.</li> <li>Learn and apply divisibility rules to speed up your calculations.</li> <li>Approach each question methodically and use elimination strategies for multiple-choice options.</li> <li>Regularly solve previous years’ papers to get comfortable with the question formats and difficulty levels.</li> </ul> We’ve provided 10 practice questions on the Number System below. Try to solve each one in under 30 seconds to build speed and accuracy. <img loading="lazy" alt="Number System Practice Questions" src="https://www.quantsir.com/admin/assets/uploads/ckeditor/Number_System_Practice_Questions.webp" style="height:225px; width:400px"> <h2 id="content-id-127811-1">Practice Questions on Number System</h2> Q1. If "x" is a digit such that 46942x is divisible by 11, then the value of x is: <ol> <li>3</li> <li>1</li> <li>5</li> <li>8</li> </ol> (Difficulty: 3 | Estimated Time: 20 seconds) Q2. Six men start running on a circular track at 4 PM from the same point at speeds of 6, 8, 12, 7, 14, and 10 km/h. If the perimeter of the track is 105 km, when will they meet for the second time at the starting point? <ol> <li>12 PM</li> <li>8 PM</li> <li>12 AM</li> <li>8 AM</li> </ol> (Difficulty: 3 | Estimated Time: 20 seconds) Q3. What is the smallest number that must be added to 25272 to make it a perfect square? <ol> <li>8</li> <li>9</li> <li>1</li> <li>81</li> </ol> (Difficulty: 2 | Estimated Time: 10 seconds) Q4. A number leaves a remainder of 3 when divided by 6. What will be the remainder when its square is divided by 4? <ol> <li>3</li> <li>1</li> <li>2</li> <li>0</li> </ol> (Difficulty: 3 | Estimated Time: 20 seconds) Q5. The LCM and HCF of two numbers are in the ratio 10:1. If the product of the numbers is 1440, what is the larger number? <ol> <li>60</li> <li>120</li> <li>48</li> <li>240</li> </ol> (Difficulty: 3 | Estimated Time: 20 seconds) Q6. If 35269N is divisible by 11, what is the possible value of N? <ol> <li>6</li> <li>3</li> <li>0</li> <li>11</li> </ol> (Difficulty: 4 | Estimated Time: 30 seconds) Q7. Find the sum of the digits in the tens place of all even numbers less than 100. <ol> <li>225</li> <li>235</li> <li>245</li> <li>250</li> </ol> (Difficulty: 3 | Estimated Time: 20 seconds) Q8. If the HCF of two numbers is 4 and their product is 224, what is their LCM? <ol> <li>14</li> <li>28</li> <li>56</li> <li>72</li> </ol> (Difficulty: 2 | Estimated Time: 15 seconds) Q9. If a five-digit number a2a5a is divisible by 11, then what is the value of (a2 - 2a)? <ol> <li>0</li> <li>8</li> <li>15</li> <li>24</li> </ol> (Difficulty: 3 | Estimated Time: 20 seconds) Q10. Find the smallest natural number Q such that it leaves a remainder of 3 when divided by 11 and 4 when divided by 9. What is the remainder when Q is divided by 7? <ol> <li>2</li> <li>3</li> <li>4</li> <li>5</li> </ol> (Difficulty: 2 | Estimated Time: 15 seconds) <h2 id="content-id-127811-2">Number System - Answer Key</h2> <table border="1" cellpadding="1" cellspacing="1"> <tbody> <tr> <td>1. (3)</td> <td>2. (4)</td> <td>3. (3)</td> <td>4. (2)</td> <td>5. (1)</td> </tr> <tr> <td>6. (2)</td> <td>7. (1)</td> <td>8. (3)</td> <td>9. (4)</td> <td>10. (1)</td> </tr> </tbody> </table> <h2 id="content-id-127811-3">Score Yourself!</h2> How did you do? Give yourself 1 mark per correct answer: <ul> <li>8–10 correct: Excellent! You’re well-prepared for the Number System section.</li> <li>5–7 correct: Good job! A bit more practice will get you exam-ready.</li> <li>Below 5: No worries—focus on understanding the basics and practicing regularly. We’re here to help you master it!</li> </ul> The Number System is a crucial topic in the Quantitative Aptitude section of SSC <a href="https://ssc.gov.in/for-candidates/cgl-exam/xsd91hjkshdk92xk">CGL </a>Tier 1, forming the backbone of several other important areas like LCM-HCF, divisibility, and basic arithmetic. This practice set is designed to help you strengthen your core understanding of the Number System. We hope this blog along with the solutions, serves as a valuable resource in your preparation journey. Keep practicing regularly with our <a href="https://www.quantsir.com/topic-wise-test">Topic-wise tests</a>, <a href="https://www.quantsir.com/pyq-papers">PYQs </a>, revise concepts thoroughly, and stay tuned with <a href="https://www.quantsir.com/">us</a> for more exam-oriented materials and strategies!

Number System questions are a staple in almost every competitive exam, including <a href="https://ssc.gov.in/">SSC</a> CGL, and typically carry a weightage of 2&ndash;3 questions (around 4&ndash;6 marks). To secure a good rank, it&rsquo;s essential to have solid practice across a variety of Number System problems. In this blog we&rsquo;ll cover the important points and questions of this topic.

<h2>Here are a few tips for mastering Number System Questions</h2>

<ul>
	<li>Develop a strong understanding of key concepts like prime numbers, factors, multiples, LCM, and HCF.</li>
	<li>Learn and apply divisibility rules to speed up your calculations.</li>
	<li>Approach each question methodically and use elimination strategies for multiple-choice options.</li>
	<li>Regularly solve previous years&rsquo; papers to get comfortable with the question formats and difficulty levels.</li>
</ul>

We&rsquo;ve provided 10 practice questions on the Number System below. Try to solve each one in under 30 seconds to build speed and accuracy.

<img loading="lazy" alt="Number System Practice Questions" src="https://www.quantsir.com/admin/assets/uploads/ckeditor/Number_System_Practice_Questions.webp" style="height:225px; width:400px" />

<h2>Practice Questions on Number System</h2>

Q1. If &quot;x&quot; is a digit such that 46942x is divisible by 11, then the value of x is:

<ol>
	<li>3</li>
	<li>1</li>
	<li>5</li>
	<li>8</li>
</ol>

(Difficulty: 3 | Estimated Time: 20 seconds)

Q2. Six men start running on a circular track at 4 PM from the same point at speeds of 6, 8, 12, 7, 14, and 10 km/h. If the perimeter of the track is 105 km, when will they meet for the second time at the starting point?

<ol>
	<li>12 PM</li>
	<li>8 PM</li>
	<li>12 AM</li>
	<li>8 AM</li>
</ol>

(Difficulty: 3 | Estimated Time: 20 seconds)

Q3. What is the smallest number that must be added to 25272 to make it a perfect square?

<ol>
	<li>8</li>
	<li>9</li>
	<li>1</li>
	<li>81</li>
</ol>

(Difficulty: 2 | Estimated Time: 10 seconds)

Q4. A number leaves a remainder of 3 when divided by 6. What will be the remainder when its square is divided by 4?

<ol>
	<li>3</li>
	<li>1</li>
	<li>2</li>
	<li>0</li>
</ol>

(Difficulty: 3 | Estimated Time: 20 seconds)

Q5. The LCM and HCF of two numbers are in the ratio 10:1. If the product of the numbers is 1440, what is the larger number?

<ol>
	<li>60</li>
	<li>120</li>
	<li>48</li>
	<li>240</li>
</ol>

(Difficulty: 3 | Estimated Time: 20 seconds)

Q6. If 35269N is divisible by 11, what is the possible value of N?

<ol>
	<li>6</li>
	<li>3</li>
	<li>0</li>
	<li>11</li>
</ol>

(Difficulty: 4 | Estimated Time: 30 seconds)

Q7. Find the sum of the digits in the tens place of all even numbers less than 100.

<ol>
	<li>225</li>
	<li>235</li>
	<li>245</li>
	<li>250</li>
</ol>

(Difficulty: 3 | Estimated Time: 20 seconds)

Q8. If the HCF of two numbers is 4 and their product is 224, what is their LCM?

<ol>
	<li>14</li>
	<li>28</li>
	<li>56</li>
	<li>72</li>
</ol>

(Difficulty: 2 | Estimated Time: 15 seconds)

Q9. If a five-digit number a2a5a is divisible by 11, then what is the value of (a2 - 2a)?

<ol>
	<li>0</li>
	<li>8</li>
	<li>15</li>
	<li>24</li>
</ol>

(Difficulty: 3 | Estimated Time: 20 seconds)

Q10. Find the smallest natural number Q such that it leaves a remainder of 3 when divided by 11 and 4 when divided by 9. What is the remainder when Q is divided by 7?

<ol>
	<li>2</li>
	<li>3</li>
	<li>4</li>
	<li>5</li>
</ol>

(Difficulty: 2 | Estimated Time: 15 seconds)

<h2>Number System - Answer Key</h2>

<table border="1" cellpadding="1" cellspacing="1">
	<tbody>
		<tr>
			<td>1. (3)</td>
			<td>2. (4)</td>
			<td>3. (3)</td>
			<td>4. (2)</td>
			<td>5. (1)</td>
		</tr>
		<tr>
			<td>6. (2)</td>
			<td>7. (1)</td>
			<td>8. (3)</td>
			<td>9. (4)</td>
			<td>10. (1)</td>
		</tr>
	</tbody>
</table>

<h2>Score Yourself!</h2>

How did you do? Give yourself 1 mark per correct answer:

<ul>
	<li>8&ndash;10 correct: Excellent! You&rsquo;re well-prepared for the Number System section.</li>
	<li>5&ndash;7 correct: Good job! A bit more practice will get you exam-ready.</li>
	<li>Below 5: No worries&mdash;focus on understanding the basics and practicing regularly. We&rsquo;re here to help you master it!</li>
</ul>

The Number System is a crucial topic in the Quantitative Aptitude section of SSC <a href="https://ssc.gov.in/for-candidates/cgl-exam/xsd91hjkshdk92xk">CGL </a>Tier 1, forming the backbone of several other important areas like LCM-HCF, divisibility, and basic arithmetic. This practice set is designed to help you strengthen your core understanding of the Number System.

We hope this blog along with the solutions, serves as a valuable resource in your preparation journey. Keep practicing regularly with our <a href="https://www.quantsir.com/topic-wise-test">Topic-wise tests</a>, <a href="https://www.quantsir.com/pyq-papers">PYQs </a>, revise concepts thoroughly, and stay tuned with <a href="https://www.quantsir.com/">us</a> for more exam-oriented materials and strategies!

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