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Homework Practice

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Proportional Reasoning-1: Practice 3

Section A: Core Practice

Question 1mcq
66 notebooks cost ₹90. What is the unit rate?
A.₹90 per item
B.₹15 per item
C.₹6 per item
D.₹96 per item
Question 2mcq
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.66
C.1212
D.2626
Question 3mcq
A bus travels 180180 km in 33 hours at a steady speed. What is its speed?
A.183183 km/h
B.0.020.02 km/h
C.540540 km/h
D.6060 km/h
Question 4mcq
A student says 2:32:3 is equivalent to 5:65:6 because 33 was added to both parts. Is the student correct?
A.No, because ratios cannot be compared.
B.No, because adding the same number to both parts does not preserve a ratio.
C.Yes, adding the same number always works.
D.Yes, all ratios with bigger numbers are equivalent.
Question 5mcq
A recipe uses 66 cups of rice for 1010 people. What ratio compares cups of rice to people?
A.6:106:10
B.60:1060:10
C.16:1016:10
D.10:610:6
Question 6mcq
A recipe uses 99 cups of rice for 1212 people. What ratio compares cups of rice to people?
A.108:12108:12
B.12:912:9
C.21:1221:12
D.9:129:12

Section B: Reasoning and Application

Question 7mcq
Which ratio is equivalent to 2:52:5?
A.15:615:6
B.6:156:15
C.2:152:15
D.5:85:8
Question 8mcq
88 notebooks cost ₹120. What is the unit rate?
A.₹15 per item
B.₹128 per item
C.₹8 per item
D.₹120 per item
Question 9mcq
66 notebooks cost ₹90. What is the unit rate?
A.₹96 per item
B.₹6 per item
C.₹15 per item
D.₹90 per item
Question 10mcq
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.2626
C.66
D.1212
Question 11mcq
A bus travels 180180 km in 33 hours at a steady speed. What is its speed?
A.183183 km/h
B.6060 km/h
C.540540 km/h
D.0.020.02 km/h
Question 12mcq
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.Yes, all ratios with bigger numbers are equivalent.
C.No, because ratios cannot be compared.
D.No, because adding the same number to both parts does not preserve a ratio.