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Homework Practice

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Proportional Reasoning-1: Practice 1

Section A: Core Practice

Question 1mcq
A recipe uses 66 cups of rice for 1010 people. What ratio compares cups of rice to people?
A.16:1016:10
B.6:106:10
C.10:610:6
D.60:1060:10
Question 2mcq
A recipe uses 99 cups of rice for 1212 people. What ratio compares cups of rice to people?
A.108:12108:12
B.9:129:12
C.21:1221:12
D.12:912:9
Question 3mcq
Which ratio is equivalent to 2:52:5?
A.15:615:6
B.6:156:15
C.5:85:8
D.2:152:15
Question 4mcq
88 notebooks cost ₹120. What is the unit rate?
A.₹128 per item
B.₹8 per item
C.₹120 per item
D.₹15 per item
Question 5mcq
66 notebooks cost ₹90. What is the unit rate?
A.₹15 per item
B.₹90 per item
C.₹6 per item
D.₹96 per item
Question 6mcq
If 1010 workers finish 1313 rooms in one hour at a constant rate, how many rooms can 2020 workers finish in one hour?
A.2626
B.1212
C.66
D.2626

Section B: Reasoning and Application

Question 7mcq
A bus travels 180180 km in 33 hours at a steady speed. What is its speed?
A.0.020.02 km/h
B.183183 km/h
C.6060 km/h
D.540540 km/h
Question 8mcq
A student says 2:32:3 is equivalent to 5:65:6 because 33 was added to both parts. Is the student correct?
A.Yes, adding the same number always works.
B.No, because ratios cannot be compared.
C.Yes, all ratios with bigger numbers are equivalent.
D.No, because adding the same number to both parts does not preserve a ratio.
Question 9mcq
A recipe uses 66 cups of rice for 1010 people. What ratio compares cups of rice to people?
A.60:1060:10
B.10:610:6
C.6:106:10
D.16:1016:10
Question 10mcq
A recipe uses 99 cups of rice for 1212 people. What ratio compares cups of rice to people?
A.9:129:12
B.108:12108:12
C.12:912:9
D.21:1221:12
Question 11mcq
Which ratio is equivalent to 2:52:5?
A.6:156:15
B.5:85:8
C.15:615:6
D.2:152:15
Question 12mcq
88 notebooks cost ₹120. What is the unit rate?
A.₹15 per item
B.₹8 per item
C.₹128 per item
D.₹120 per item