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Proportional Reasoning-1: Practice 4

Section A: Core Practice

Question 1mcq
A bus travels 180180 km in 33 hours at a steady speed. What is its speed?
A.540540 km/h
B.183183 km/h
C.0.020.02 km/h
D.6060 km/h
Question 2mcq
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.Yes, adding the same number always works.
C.No, because adding the same number to both parts does not preserve a ratio.
D.Yes, all ratios with bigger numbers are equivalent.
Question 3mcq
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.60:1060:10
D.10:610:6
Question 4mcq
A recipe uses 99 cups of rice for 1212 people. What ratio compares cups of rice to people?
A.12:912:9
B.9:129:12
C.108:12108:12
D.21:1221:12
Question 5mcq
Which ratio is equivalent to 2:52:5?
A.6:156:15
B.15:615:6
C.2:152:15
D.5:85:8
Question 6mcq
88 notebooks cost ₹120. What is the unit rate?
A.₹8 per item
B.₹15 per item
C.₹120 per item
D.₹128 per item

Section B: Reasoning and Application

Question 7mcq
66 notebooks cost ₹90. What is the unit rate?
A.₹96 per item
B.₹90 per item
C.₹6 per item
D.₹15 per item
Question 8mcq
If 1010 workers finish 1313 rooms in one hour at a constant rate, how many rooms can 2020 workers finish in one hour?
A.1212
B.2626
C.66
D.2626
Question 9mcq
A bus travels 180180 km in 33 hours at a steady speed. What is its speed?
A.0.020.02 km/h
B.6060 km/h
C.183183 km/h
D.540540 km/h
Question 10mcq
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.Yes, all ratios with bigger numbers are equivalent.
C.No, because adding the same number to both parts does not preserve a ratio.
D.Yes, adding the same number always works.
Question 11mcq
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 12mcq
A recipe uses 99 cups of rice for 1212 people. What ratio compares cups of rice to people?
A.12:912:9
B.108:12108:12
C.21:1221:12
D.9:129:12