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Fraction MCQs-Sainik School Exam Class 6 Math Study Material Notes Book pdf download free-ANAND CLASSES

Fractions MCQs-Sainik School Exam Class 6 Math Study Material Notes Book pdf download free-ANAND CLASSES

Fractions MCQs-Sainik School Exam Class 6 Math Study Material Notes Book pdf download free-ANAND CLASSES

This article from ANAND CLASSES contains Multiple Choice Questions (MCQs) with answers from the Chapter “Fractions” based on the latest exam pattern of All India Sainik School Entrance Exam (AISSEE) for getting admission in Class 6. This short type question-answers AISSEE Mathematics section Mcqs will help you to test your learning and get a quick revision.

1. Which of the following is a proper fraction?
(a) 4/3
(b) 3/4
(c) 13/4
(d) 21/5

Solution:

Option (b) is the correct answer.

We know that in a proper fraction, the numerator is less than the denominator.

2. Which of the following is an improper fraction?
(a) 1/2
(b) 3/7
(c) 7/3
(d) 3/15

Solution:

Option (c) is the correct answer.

We know that in an improper fraction, the numerator is more than the denominator.

3. Which of the following is a fraction equivalent of 2/3?
(a) 4/5
(b) 8/6
(c) 10/25
(d) 10/15

Solution:

Option (d) is the correct answer.

Consider

10/15=2/3

By cross multiplication

10 × 3 = 2 × 15

We get

30 = 30

4. A fraction equivalent to 3/5is
(a) 3+2/5+2
(b) 3-2/5-2
(c) 3×2/5×2
(d) None of these

Solution:

Option (c) is the correct answer.

We know that by dividing the numerator and denominator by 2, we obtain 3/5.

5. If 5/12 is equivalent of x/3, then x =
(a) 5/4
(b) 4/5
(c) 5/3
(d) 3/5

Solution:

Option (a) is the correct answer.

Consider 5/12 = x/3

By cross multiplication

5 × 3 = 12 × x

So we get

x = (5 × 3)/12 = (5 × 3)/ (4 × 3) = 5/4

6. Which of the following are like fractions?
(a) 3/5, 3/7, 3/11, 3/16
(b) 5/11, 7/11, 15/11, 2/11
(c) 2/3, 3/4,4/5, 6/7
(d) None of these

Solution:

Option (b) is the correct answer.

We know that like fractions are fractions with the same denominator.

7. If 11/4 = 77/x, then x =
(a) 28
(b) 77/28
(c) 44
(d) 308

Solution:

Option (a) is the correct answer.

11/4 = 77/x

By cross multiplication

11 × x = 77 × 4

x = (77 × 4)/ 11 = (7 × 11 × 4)/ 11

Dividing both the numerator & denominator by 11, we obtain 28.

8. 1/ (2 1/3) +1/ (1 3/4) is equal to
(a) 7/14
(b) 12/49
(c) 4 1/12
(d) None of these

Solution:

Option (d) is the correct answer.

Fractions MCQs-Sainik School Exam Class 6 Math Study Material Notes Book pdf download free

9. If 1/3 + 1/2 + 1/x = 4, then x = ?
(a) 5/18
(b) 6/19
(c) 18/5
(d) 24/11

Solution:

Option (b) is the correct answer.

It is given that

1/3 + ½ + 1/x = 4

On further calculation

1/x = 4 – 1/3 – 1/2

By taking LCM of 3 and 2 as 6

1/x = 24/6 – 2/6 – 3/6

So we get

1/x = (24 – 2 – 3)/ 6 = 19/6

Hence, x = 6/19

10. If 1/2 + 1/x = 2, then x =
(a) 2/5
(b) 5/2
(c) 3/2
(d) 2/3

Solution:

Option (d) is the correct answer.

It is given that

½ + 1/x = 2

On further calculation

1/x = 2 – 1/2

By taking LCM as 2 we get

1/x = 4/2 – 1/2 = (4 – 1)/2 = 3/2

Hence, x = 2/3

11. Which of the following fractions is the smallest?
1/2,3/7,3/5,4/9
(a) 4/9
(b) 3/5
(c) 3/7
(d) 1/2

Solution:

Option (c) is the correct answer.

We know that the LCM of the numerator is 12

By converting each fraction to an equivalent fraction having 12 as the numerator

1/2 = 1/2 × 12/12 = 12/24

3/7 = 3/7 × 4/4 = 12/28

3/5 = 3/5 × 4/4 = 12/20

4/9 = 4/9 × 3/3 = 12/27

We know that if the numerator is the same the fraction having a larger denominator is the smallest.

Hence, 3/7 is the smallest fraction.

12. Which of the following fractions is the greatest of all?

7/8, 6/7, 4/5, 5/6
(a) 6/7
(b) 4/5
(c) 5/6
(d) 7/8

Solution:

Option (d) is the correct answer.

We know that the LCM of 8, 7, 6 and 5 is 840

By converting each fraction to an equivalent fraction having 840 as the denominator

7/8 = 7/8 × 105/105 = 735/840

6/7 = 6/7 × 120/120 = 720/840

4/5 = 4/5 × 168/168 = 672/840

5/6 = 5/6 × 140/140 = 700/840

We know that if the denominator is the same the fraction having a larger numerator is the greatest.

Hence, 7/8 is the greatest fraction.

13. What is the value of a+b/ a−b, If a/b=4?
(a) 3/5
(b) 5/3
(c) 4/5
(d) 5/4

Solution:

Option (b) is the correct answer.

It is given that a/b = 4

We can write it as a = 4b

By substituting the value of a in a+b/a-b

a+b/a-b = 4b+b/4b-b = 5b/3b

Dividing the numerator and denominator by b, the value is 5/3.

14. If a/b = 4/3, then the value of 6a+4b/ 6a-5b is
(a) −1
(b) 3
(c) 4
(d) 5

Solution:

Option (c) is the correct answer.

It is given that a/b = 4/3

We can write it as a = 4b/3

By substituting the value of a in 6a+4b/6a-5b

Fractions MCQs-Sainik School Exam Class 6 Math Study Material Notes Book pdf download free-ANAND CLASSES

15. If 1/5 – 1/6 = 4/x, then x =
(a) −120
(b) −100
(c) 100
(d) 120

Solution:

Option (d) is the correct answer.

It is given that

1/5 – 1/6 = 4/x

LCM of 5 and 6 is 30

4/x = 6/30 – 5/30

On further calculation

4/x = 1/30

So we get

x = 4 (30) = 120

16. The fraction to be added to 6 7/15 to get 8 1/5 is equal to
(a) 11/15
(b) 1 1/15
(c) 44/3
(d) 3/44

Solution:

Option (b) is the correct answer.

17. If 45/60 is equivalent to 3/x, then x =
(a) 5
(b) 4
(c) 6
(d) 20

Solution:

Option (b) is the correct answer.

It is given that

45/60 = 3/x

By cross multiplication

45 × x = 3 × 60

It can be written as

x = (3 × 60)/45 = 180/45

Dividing the fraction by HCF

(180 ÷ 45)/(45÷45) = 4

18. A fraction equivalent to 45/105 is
(a) 6/14
(b) 4/7
(c) 5/7
(d) 7/5

Solution:

Option (a) is the correct answer.

The given fraction is 45/105

By dividing the numerator and denominator with the HCF

(45 ÷ 15)/(105÷15) = 3/7

On further calculation

3/7 = 3/7 × 2/2 = 6/14

19. 5/8 + 3/4 – 7/12 is equal to
(a) 15/24
(b) 17/24
(c) 19/24
(d) 21/24

Solution:

Option (c) is the correct answer.

The given fraction is

5/8 + 3/4 – 7/12

We know that the LCM is 24

= (5 × 3)/ (8 × 3) + (3 × 6)/ (4 × 6) – (7 × 2)/ (12 × 2)

On further calculation

= 15/24 + 18/24 – 14/24

So we get

= 19/24

20. The correct fraction in the box □ is □ – 5/8=1/4
(a) 6/8
(b) 7/8
(c) 1/2
(d) None of these

Solution:

Option (b) is the correct answer.

The given equation is

□ – 5/8 = 1/4

It can be written as

□ = 1/4 + 5/8

We know that the LCM is 8

□ = 2/8 + 5/8 = 7/8

SAINIK SCHOOL COACHING CENTER

Mastering Fractions: A Comprehensive Guide for Sainik School Exam Class 6 Math

Are you preparing for the Sainik School Entrance Exam for Class 6? Are you feeling overwhelmed by the topic of fractions? Fear not! Anand Classes presents a comprehensive study material designed to help you conquer fractions and ace your math exam with confidence.

Understanding Fractions:

Fractions are a fundamental concept in mathematics, representing parts of a whole or a group. They consist of a numerator (the number on the top) and a denominator (the number on the bottom). For example, in the fraction ⅔, 2 is the numerator and 3 is the denominator.

Why Fractions Matter:

Fractions are not just a concept confined to math textbooks; they have real-world applications. From dividing pizzas among friends to calculating discounts during sales, fractions are used in various situations in everyday life. Mastering fractions is essential not only for academic success but also for developing practical problem-solving skills.

Anand Classes' MCQs:

Anand Classes understands the importance of mastering fractions for the Sainik School Entrance Exam. That's why our study material includes a wide range of Multiple Choice Questions (MCQs) meticulously crafted to test your understanding of fractions. These MCQs cover topics such as:

  1. Equivalent Fractions: Understanding fractions that represent the same value but may look different.
  2. Comparing Fractions: Learning to compare fractions to determine which is greater or smaller.
  3. Operations with Fractions: Practicing addition, subtraction, multiplication, and division of fractions.
  4. Fraction Word Problems: Applying fraction concepts to solve real-world problems.

Why Choose Anand Classes' Study Material:

  1. Comprehensive Coverage: Our study material covers all essential topics related to fractions, ensuring you are well-prepared for the exam.
  2. Clear Explanations: Each concept is explained in a simple and easy-to-understand manner, making learning fractions a breeze.
  3. Abundant Practice: With numerous MCQs provided, you'll have ample opportunities to practice and reinforce your understanding of fractions.
  4. Exam-Oriented Approach: Our study material is specifically tailored to the requirements of the Sainik School Entrance Exam, helping you focus on what matters most.

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Don't miss out on this invaluable resource! You can download the "Fractions MCQs for Sainik School Exam Class 6 Math Study Material Notes Book" PDF for free from the Anand Classes website. Simply visit https://neerajparam.com/fractions-sainik-school-exam-class-6-math/ to access your copy and start mastering fractions today!

Conclusion:

Fractions may seem daunting at first, but with the right study material and practice, you can conquer them with ease. Let Anand Classes be your guide on your journey to math success. Download our free PDF today and take the first step towards acing the Sainik School Entrance Exam Class 6 Math section!


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