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Mathematical Reasoning is an important topic of Logical Reasoning with a great presence in SSC exams, having a weightage of 1 - 2 questions. To master Mathematical Reasoning questions, a solid grasp of the concepts and rigorous practice are essential.

In this blog, we'll comprehensively explore the foundations and logical nuances of Mathematical Reasoning. We've included 10 real SSC exam-level questions to give you a preview of the challenges you'll face. Practice questions are categorized into different difficulty levels, ranging from 1 to 10. 1 denotes the least difficult and 10 denotes the most difficult. We have also given an estimated expected time to solve each question, to boost your preparation and speed. Moreover, you can also download Mathematical Reasoning questions and answers PDF by clicking on 'Download PDF' button above.

<img loading="lazy" alt="Mathematical Reasoning Questions Top 10 MCQ" src="https://study.kdcampus.live/admin/assets/uploads/ckeditor/Mathematical_Reasoning_Questions_Top_10_MCQ.png" style="height:338px; width:600px">

[Source: KD Live]

<h2 id="content-id-2079-0">Mathematical Reasoning Questions</h2>

Q:1 What will be the value of the expression if the numbers/digits ‘(6)’ and ‘(12)’ are interchanged?

164 ÷ 4 × 36 ÷ 12 × 5 + 6 + 9

1. 1521

2. 1251

3. 1125

4. 1152

[Difficulty: 4, Estimated Time: 30 seconds]

Sharpen your skills, and you'll be unstoppable.

Q:2 Which two numbers, from amongst the given options, should be interchanged to make the given equation correct?

14 + 39 - (√256 ÷ 3) + (5 × 4) - 6 = 58

1. 4 and 3

2. 5 and 4

3. 6 and 14

4. 3 and 39

[Difficulty: 4, Estimated Time: 30 seconds]

Keep pushing forward, and you'll achieve greatness.

Q:3 Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.

12 * 16 * 4 * 2 * 9 = 55

1. ×, ÷, -, +

2. ÷, ×, -, +

3. ÷, +, -, ×

4. ×, ÷, +, -

[Difficulty: 4, Estimated Time: 30 seconds]

You may delay, but time will not.

Q:4 If P means '+', Q means '-', R means '×' and S means '÷', then the value of the following expression?

40 S 4 R 2 P 19 Q 26

1. 21

2. 16

3. 23

4. 13

[Difficulty: 4, Estimated Time: 30 seconds]

You are capable of solving any challenge that comes your way.

Q:5 If K denotes ‘+’, Q denotes ‘-’ R denotes ‘×’ and S denotes ‘÷’ then, which of the following equation is correct? 

1. 7 R 8 K 9 S 3 Q 10 = 49

2. 32 S 8 R 9 = 160 Q 12 R 12 

3. 16 R 12 K 49 S 7 Q 9 = 200 

4. 36 R 4 S 8 Q 7 K 4 = 10 

[Difficulty: 4, Estimated Time: 30 seconds]

Embrace the logic of the problem, and you'll find the solution within it.

Q:6 If ‘+’ means ‘division’, ‘×’ means ‘minus’, “÷’ means ‘plus’ and ‘-‘ means ‘multiplied by’, then which of the following will be the value of the expression

99 ÷ 24 × 59 × 42 + 3 + 7 = ? 

1. 42

2. 32

3. 22

4. 62

[Difficulty: 4, Estimated Time: 30 seconds]

Keep reasoning, keep progressing.

Q:7 If '+' means '×' and '÷ 'means '-' then what is the value of 82÷12+2×20-5?

1. 92

2. 112

3. -403

4. -115

[Difficulty: 4, Estimated Time: 30 seconds]

Hurry up ! Clock is ticking.

Q:8 Fill in the correct signs in the equation.

50 * 14 * 7 * 2 * 4 = 58

1. ÷, ×, -, +

2. ÷, ×, +, -

3. ×, ÷, ×, +

4. +, ÷, ×, +

[Difficulty: 4, Estimated Time: 30 seconds]

The time for action is now.

Q:9 Which two numbers (NOT digits) should be interchanged to make the following equation correct?

28 ÷ 7 + 14 × 6 − 2 = 168

1. 7 and 13

2. 14 and 28

3. 6 and 2

4. 12 and 8

[Difficulty: 4, Estimated Time: 30 seconds]

Don't watch the clock.

Q:10 To correct the given equation, which two symbols have to be interchanged?

9 + 8 ÷ 4 × 15 - 6 = 5.13

1. – and +

2. + and ×

3. ÷ and +

4. ÷ and ×

[Difficulty: 4, Estimated Time: 30 seconds]

Well done, you have completed the quiz now!

Dive into detailed solutions and discover how to tackle even the trickiest questions. You'll soon find them easy and intriguing, adding depth to your learning experience.

<h2 id="content-id-2079-1">Mathematical Reasoning Questions - Answer Key</h2>

<table border="0" cellpadding="1" cellspacing="1" style="width:320px">
	<tbody>
		<tr>
			<td>1. (2)</td>
			<td>2. (1)</td>
			<td>3. (1)</td>
			<td>4. (4)</td>
			<td>5. (1)</td>
		</tr>
		<tr>
			<td>6. (4)</td>
			<td>7. (3)</td>
			<td>8. (4)</td>
			<td>9. (2)</td>
			<td>10. (4)</td>
		</tr>
	</tbody>
</table>

We've explored various aspects of the same topic together. If you found it easy, that's fantastic! But if you faced challenges, don't worry—detailed solutions are here to clear any doubts and enhance your grasp of the topic.

<h2 id="content-id-2079-2">Mathematical Reasoning Questions - Solutions</h2>

Q:1 The correct answer is Option 2 i.e. 1251

Given expression: 164 ÷ 4 × 36 ÷ 12 × 5 + 6 + 9

After interchanging numbers/digits, we get:

164 ÷ 4 × 36 ÷ 6 × 5 + 12 + 9

By using the rule of BODMAS, we get:

= (41 × 6 × 5 + 12 + 9)

= (1230 + 12 + 9)

= 1251

Hence, 1251 is the correct answer.

Q:2 The correct answer is Option 1 i.e. 4 and 3

Given equation : 14 + 39 - (√256 ÷ 3) + (5 × 4) - 6 = 58

From option 1,

14 + 39 - (√256 ÷ 4) + (5 × 3) - 6 = 14 + 39 - 4 + 15 - 6 = 58

Hence, the correct answer is 4 and 3.

Q:3 The correct answer is Option 1 i.e. ×, ÷, -, +

Given equation : 12 * 16 * 4 * 2 * 9 = 55

From option 1,

12 × 16 ÷ 4 - 2 + 9 = 48 - 2 + 9 = 55

Hence, the correct answer is ×, ÷, -, +.

Q:4 The correct answer is Option 4 i.e. 13

Given the equation: 40 S 4 R 2 P 19 Q 26

After the interchange of signs: (Using BODMAS)

= 40 ÷ 4 × 2 + 19 - 26

= 10 × 2 + 19 - 26

= 20 + 19 - 26

= 13

Hence, the correct answer is 13.

Q:5 The correct answer is Option 1 i.e. 7 R 8 K 9 S 3 Q 10 = 49.

Given the equation: 7 R 8 K 9 S 3 Q 10 = 49

Checking all the options one by one:

1. 7 R 8 K 9 S 3 Q 10 = 49

7 × 8 + 9 ÷ 3 - 10 

56 + 3 - 10

59 - 10

49

49 is equal to 49.

The equation is balanced. No need to check other options.

Hence, 7 R 8 K 9 S 3 Q 10 = 49 is the correct answer.

Q:6 The correct answer is Option 4 i.e. 62.

Given the equation: 99 ÷ 24 × 59 × 42 + 3 + 7 = ? 

If ‘+’ means ‘division’, ‘×’ means ‘minus’, “÷’ means ‘plus’ and ‘-‘ means ‘multiplied

99 ÷ 24 × 59 × 42 + 3 + 7 = ? 

= 99 + 24 - 59 - 42 ÷ 3 ÷ 7

= 99 + 24 - 59 - 2

= 62

Hence, 62 is the correct answer.

Q:7 The correct answer is Option 3 i.e -403

Given: 82÷12+2×20-5

'+' means '×' and '÷ 'means '-'

After interchanging signs

82 - 12 × 2 × 20 - 5

82 - 480 - 5

82 - 485

= -403

Hence, the correct answer is -403.

Q:8 The correct answer is Option 4 i.e +, ÷, ×, +

Given: 50 * 14 * 7 * 2 * 4 = 58

Option 4-

50 * 14 * 7 * 2 * 4 = 58

50 + 14 ÷ 7 × 2 +4

50 + 2 × 2 +4

50 + 4 + 4

58

This option is the correct answer.

Hence, the correct answer is '+, ÷, ×, +'.

Q:9 The correct answer is Option 2 i.e. 14 and 28.

Given equation: 28 ÷ 7 + 14 × 6 − 2 = 168

Checking all the options one by one:

1. 6 and 2

28 ÷ 7 + 14 × 2 − 6 = 168

4 + 14 × 2 − 6 = 168

26 ≠ 168

26 is not equal to 168.

2. 14 and 28

14 ÷ 7 + 28 × 6 − 2 = 168

2 + 168 - 2 = 168

168 is equal to 168.

The equation is balanced. No need to check other options.

Hence, 14 and 28 is the correct answer.

Q:10 The correct answer is Option 4 i.e. ÷ and ×.

Given equation is: 9 + 8 ÷ 4 × 15 - 6 = 5.13

If '÷' and '×' are interchanged the equation becomes:

9 + 8 × 4 ÷ 15 - 6 

= 9 + 2.13 - 6 

= 5.13 

Hence, ÷ and × is the correct answer.

Congratulations on completing 10 Mathematical Reasoning questions of varying difficulty levels. Your dedication to practice is commendable and will undoubtedly enhance your Logical Reasoning skills. Comment your thoughts below and let us know how was your experience practicing these specially curated questions for you. If you have any doubts, you can ask in the comment section and we'll be right there with answers in no time. Keep up the great work, and you'll be well-prepared to tackle similar challenges in the exams. <a href="https://study.kdcampus.live/" target="_blank">KD Live</a> will be here with with top 10 questions from different topics, on a daily basis. Stay tuned!

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