Page 217 - Ganit Kaushal

21. The adjoining figure represents the preferences of the students during breakfast in a hostel mess. If
the total number of students in the mess is 540, then with reference to the
given figure, answer the following questions:
(a) What is the number of students who prefer coffee? 1 4 Orange 1
(b) Whose number is greater, milk drinkers or orange juice drinkers and juice 3 Milk
by what number? 1 Tea
(c) What is the total number of students who drink mango shake or 12 1 1 6
coffee? Is it equal to the number of milk drinkers? 6 Coffee Mango
(d) Is the sum of all the fractions in the given figure equal to 1? shake
Case Study Based Questions
2
Shella has taken a bank loan to initiate floriculture on 100 m of vacant land.
She wants to plant roses in one-half of the area. The remaining field, she wants
to use for marigold and sunflower cultivation, exactly in halves.
Based on the above information, answer the following questions by choosing
the correct option from the four options given in each question.
1. The area to be used for planting rose flowers is Floriculture
(a) 50 m 2 (b) 60 m 2 (c) 80 m 2 (d) 100 m 2
2. The fraction of the total area being used for planting sunflowers is
1 1 5 24
(a) (b) (c) (d)
4 6 24 7
3. The earnings from roses are expected to be `10,000. The earnings from sunflowers are expected to be
three-fourths of this. The value of the earnings from sunflowers is
(a) `6500 (b) `7500 (c) `5500 (d) `9500
4. What is the ratio of the earnings from roses to the earnings from sunflowers?
4 1 5 24
(a) (b) (c) (d)
3 6 24 7
5. She has planned to distribute 150 roses to 50 friends to celebrate her farming initiative. An equal
number of roses will be given to all the friends. If we write the number of roses to be given to each
person as a fraction, this fraction will be
3 1 3 24
(a) (b) (c) (d)
24 6 1 7
Assertion Reason Type Questions
A statement of assertion (A) is followed by a statement of reason (R). Choose the correct option out of the
choices given below for each question:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
1. Assertion (A): A container has a maximum capacity of 20 litres. If there is 14 litres of milk in it, then
7
it is filled to of its capacity.
10
7 14 21 28
Reason (R): , , ,and are all equal fractions.
10 20 30 40

Fractions 215