### 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.

**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

**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

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

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**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:**

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