Proportional Reasoning-1 — Practice

Q1. On, the chapter says that the changes in the widths and heights of images A, C, and D are called

• A. proportional
• B. equal
• C. additive
• D. distorted

Q2. Image A has width 60 mm and height 40 mm. Image C has width 30 mm and height 20 mm. By what factor have both width and height changed?

• A. 1/3
• B. 1/2
• C. 2
• D. 1/4

Q3. On, the numbers 60 and 40 in the ratio 60: 40 are called the

• A. factors of the ratio
• B. products of the ratio
• C. terms of the ratio
• D. proportions of the ratio

Q4. Ravi reduces the ratio 60 : 40 to its simplest form by dividing both terms by their HCF. The simplest form is

• A. 6 : 4
• B. 30 : 20
• C. 2 : 3
• D. 3 : 2

Q5. Priya writes the ratio of width to height of image B as 40 : 20. Its simplest form is

• A. 4 : 2
• B. 2 : 1
• C. 1 : 2
• D. 20 : 10

Q6. On, the symbol '::' between two ratios is used to indicate that the two ratios are

• A. proportional
• B. in simplest form
• C. unequal
• D. added together

Q7. Example 1 asks whether the ratios 3: 4 and 72: 96 are proportional. Aarti finds the HCF of 72 and 96 and reaches which conclusion?

• A. They are not proportional because the HCF is 12.
• B. They are not proportional because 72 : 96 simplifies to 4 : 3.
• C. They are proportional because 72 : 96 simplifies to 3 : 4.
• D. They are proportional only after multiplying 3 : 4 by 25.

Q8. Kesang made 6 glasses of lemonade using 10 spoons of sugar. To keep the same sweetness for 18 glasses, how many spoons of sugar does she need?

• A. 12
• B. 22
• C. 24
• D. 30

Q9. Nitin built a 60 ft wall using 3 bags of cement; Hari built a 40 ft wall using 2 bags. In simplest form, the ratio of length to bags is

• A. 30 : 1 for Nitin and 20 : 1 for Hari
• B. 20 : 1 for both
• C. 60 : 3 for Nitin and 40 : 2 for Hari
• D. 3 : 60 for Nitin and 2 : 40 for Hari

Q10. When Neelima was 3 years old, her mother's age was 10 times her age. In its simplest form, the ratio of Neelima's age to her mother's age was

• A. 1 : 10
• B. 3 : 10
• C. 1 : 13
• D. 10 : 3

Q11. On, the chapter says that in ancient India, such problems of proportionality were called the 'Rule of Three' by

• A. Brahmagupta in 628 CE
• B. Bhaskara II in the Lilavati
• C. Aryabhata in 199 CE
• D. Mahavira in the Ganita-sara-sangraha

Q12. Proves that if a: b:: c: d, then by cross multiplication of terms

• A. a + d = b + c
• B. a − d = b − c
• C. a × b = c × d
• D. a × d = b × c

Q13. A cook usually makes 15 kg of rice for 120 students. On a rainy day only 80 students come. How many kilograms of rice should the cook make so that food is not wasted?

• A. 8 kg
• B. 10 kg
• C. 12 kg
• D. 20 kg

Q14. Manju and her partner share 12 counters in the ratio 3 : 1. How many counters does Manju's partner get and how many does Manju get?

• A. Partner 9, Manju 3
• B. Partner 6, Manju 6
• C. Partner 3, Manju 9
• D. Partner 8, Manju 4

Q15. Prashanti invested ₹75,000 and Bhuvan invested ₹25,000. They share a profit of ₹4,000 in the same ratio. Prashanti's share is

• A. ₹1,000
• B. ₹2,000
• C. ₹3,000
• D. ₹4,000