Test: Fractions - Grade 10 MCQ

Given:
Sweets = Rs. 740.25
Cold drink = Rs. 70
Students = 35
Solution:
Total Amount = 740.25 + 70 = Rs. 810.25
Amount contributes by each student = 810.25/35 = Rs. 23.15
Hence, the correct option is 1

Concept used:
Improper fractions: Improper Fractions are those fractions, whose denominator is lesser than its numerator.
Unlike fractions: The fractions which don't have the same denominators is true.
Solution:
Let, two improper fractions be 5/2 and 4/3
Product of both = 5/2 x 4/3 = 20/6 = 10/3
5/2 = 2.5
4/3 = 1.33
10/3 = 3.33
4/3 < 5/2 < 10/3
(4/3) < (5/2) < [(4/3) x (5/2)]
The product of two improper fractions is greater than both.
⇒ the given statement is false.
Unlike fractions: The fractions which don't have the same denominators is true.
⇒ the given statement is true.
Hence, the correct option is 3

Apples used on Monday = (4/5) x 5 = 4 kg
Apples used on the next day = (5 - 4) x 1/3 = 1/3 kg
Weight of the apples left = 5 - 4 - 1/3 = 2/3 kg
Hence, the correct option is (c).

Observe the following figure representing 4 cakes each of 1 kg and try to give the answer.
2/3 s are there in these 4 cakes?’
That is, 
Alternate Method 
This can be observed also in the following way.

We get the answer as 6.

Given:
1 hour = 1/3 of work
Solution:
The part of the work finished by Ramu in 1 hour = 1/3
So, the part of the work finished by Ramu in 

Ramu will finish 11/15 part of the work inhours. 

= 25/2 + 37/3 + 73/6
= (75 + 74 + 73)/6
= 222/6
= 37

(7/13) = 0.538
(2/3) = 0.666
(4/11) = 0.3636
(5/9) = 0.5555
Out of 2/3, 7/13, 4/11, 5/9
2/3 is the largest number followed by 5/9 then 7/13 and the smallest is 4/11.
∴ The ascending order will be 4/11, 7/13, 5/9, 2/3.

Let the number of people be x and number of the chair be y.

Number of available chair = y × (9/13) = 9y/13

Number of empty chair = y - (9y/13) = 4y/13

Given, Number of empty chairs = 28

According to the question

4y/13 = 28

y = 28 × (13/4) = 91

Total number of chairs = 91

Number of chairs in which people are sitting = 91 - 28 = 63

Number of people who sit = x × (7/9) = 7x/9

According to the question

7x/9 = 63

x = 63 × (9/7) = 81

Total number of people are = 81

Chairs would have been still empty if everyone in the hall was sitting = 91 - 81 = 10

Given:
The fractions are 13/19, 25/ 31, 28/31, 70/79.
Calculation:
The values are-
13/19 = 0.68
25/31 = 0.80
28/31 = 0.90
70/79 = 0.88
∴ Option C is correct.

Let the total number of students in the group be 1

Number of students who are below age 8 = 1 × 1/5 = 1/5

Remaining students = 1 – 1/5 = 4/5

Number of students who are above age 8 = 4/5 × 2/5 = 8/25

Number of students who are exactly 8 years old = 1 – 1/5 – 8/25 = 12/25

Short trick:

Let the total number of students be 25

Number of student who are below age 8 = 25 × 1/5 = 5

Remaining students = 25 – 5 = 20

Number of students who are above age 8 = 20 × 2/5 = 8

Number of students who are exactly age 8 = 25 – 5 – 8 = 12

Required fraction = 12/25