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
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:
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.
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