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Proportional Reasoning-1: Final Assessment

Section A: Concepts

Question 1mcq
A recipe uses 33 cups of rice for 55 people. What ratio compares cups of rice to people?
A.5:35:3
B.15:515:5
C.3:53:5
D.8:58:5
Question 2mcq
A recipe uses 44 cups of rice for 77 people. What ratio compares cups of rice to people?
A.11:711:7
B.4:74:7
C.7:47:4
D.28:728:7
Question 3mcq
Which ratio is equivalent to 5:85:8?
A.5:165:16
B.10:1610:16
C.7:107:10
D.16:1016:10
Question 4mcq
1212 notebooks cost ₹300. What is the unit rate?
A.₹25 per item
B.₹300 per item
C.₹312 per item
D.₹12 per item
Question 5mcq
55 notebooks cost ₹80. What is the unit rate?
A.₹16 per item
B.₹85 per item
C.₹5 per item
D.₹80 per item
Question 6mcq
If 55 workers finish 77 rooms in one hour at a constant rate, how many rooms can 1515 workers finish in one hour?
A.22
B.2121
C.2121
D.88
Question 7mcq
A bus travels 150150 km in 55 hours at a steady speed. What is its speed?
A.155155 km/h
B.0.030.03 km/h
C.3030 km/h
D.750750 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.No, because ratios cannot be compared.
B.Yes, all ratios with bigger numbers are equivalent.
C.Yes, adding the same number always works.
D.No, because adding the same number to both parts does not preserve a ratio.

Section B: Skills

Question 9mcq
A recipe uses 44 cups of rice for 77 people. What ratio compares cups of rice to people?
A.28:728:7
B.7:47:4
C.4:74:7
D.11:711:7
Question 10mcq
A recipe uses 66 cups of rice for 1010 people. What ratio compares cups of rice to people?
A.60:1060:10
B.6:106:10
C.16:1016:10
D.10:610:6
Question 11mcq
Which ratio is equivalent to 7:107:10?
A.40:2840:28
B.11:1411:14
C.28:4028:40
D.7:407:40
Question 12mcq
55 notebooks cost ₹80. What is the unit rate?
A.₹5 per item
B.₹16 per item
C.₹85 per item
D.₹80 per item
Question 13mcq
88 notebooks cost ₹120. What is the unit rate?
A.₹120 per item
B.₹15 per item
C.₹128 per item
D.₹8 per item
Question 14mcq
If 88 workers finish 1111 rooms in one hour at a constant rate, how many rooms can 4040 workers finish in one hour?
A.5555
B.5555
C.22
D.1313
Question 15mcq
A bus travels 315315 km in 77 hours at a steady speed. What is its speed?
A.0.020.02 km/h
B.4545 km/h
C.322322 km/h
D.22052205 km/h
Question 16mcq
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.

Section C: Applications

Question 17mcq
A recipe uses 66 cups of rice for 1010 people. What ratio compares cups of rice to people?
A.6:106:10
B.10:610:6
C.16:1016:10
D.60:1060:10
Question 18mcq
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
Question 19mcq
Which ratio is equivalent to 2:52:5?
A.6:156:15
B.2:152:15
C.5:85:8
D.15:615:6
Question 20mcq
88 notebooks cost ₹120. What is the unit rate?
A.₹15 per item
B.₹128 per item
C.₹120 per item
D.₹8 per item
Question 21mcq
66 notebooks cost ₹90. What is the unit rate?
A.₹15 per item
B.₹6 per item
C.₹90 per item
D.₹96 per item
Question 22mcq
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.2626
D.66
Question 23mcq
A bus travels 180180 km in 33 hours at a steady speed. What is its speed?
A.0.020.02 km/h
B.540540 km/h
C.6060 km/h
D.183183 km/h
Question 24mcq
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.

Section D: Reasoning

Question 25mcq
A recipe uses 99 cups of rice for 1212 people. What ratio compares cups of rice to people?
A.21:1221:12
B.108:12108:12
C.12:912:9
D.9:129:12
Question 26mcq
A recipe uses 33 cups of rice for 55 people. What ratio compares cups of rice to people?
A.3:53:5
B.5:35:3
C.15:515:5
D.8:58:5
Question 27mcq
Which ratio is equivalent to 3:43:4?
A.20:1520:15
B.15:2015:20
C.8:98:9
D.3:203:20
Question 28mcq
66 notebooks cost ₹90. What is the unit rate?
A.₹96 per item
B.₹15 per item
C.₹90 per item
D.₹6 per item
Question 29mcq
1212 notebooks cost ₹300. What is the unit rate?
A.₹300 per item
B.₹12 per item
C.₹312 per item
D.₹25 per item
Question 30mcq
If 66 workers finish 99 rooms in one hour at a constant rate, how many rooms can 2424 workers finish in one hour?
A.22
B.3636
C.1010
D.3636
Question 31mcq
A bus travels 240240 km in 44 hours at a steady speed. What is its speed?
A.244244 km/h
B.960960 km/h
C.0.020.02 km/h
D.6060 km/h
Question 32mcq
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.Yes, all ratios with bigger numbers are equivalent.
D.No, because adding the same number to both parts does not preserve a ratio.