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Mathematics MCQs With Answers

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Mathematics Average / Arithmetic Mean
A car covers 170 km at 54 km/h and then 220 km at 74 km/h. Find the average speed for the entire trip.
A. 61.71 km/h
B. 63.71 km/h
C. 67.71 km/h
D. 65.71 km/h
Correct Answer: B
Average speed = 390/(170/54+220/74) = 63.71 km/h.
Mathematics Average / Arithmetic Mean
A car covers 160 km at 52 km/h and then 210 km at 72 km/h. Find the average speed for the entire trip.
A. 63.73 km/h
B. 59.73 km/h
C. 65.73 km/h
D. 61.73 km/h
Correct Answer: D
Average speed = 370/(160/52+210/72) = 61.73 km/h.
Mathematics Average / Arithmetic Mean
A car covers 150 km at 50 km/h and then 200 km at 70 km/h. Find the average speed for the entire trip.
A. 63.76 km/h
B. 61.76 km/h
C. 57.76 km/h
D. 59.76 km/h
Correct Answer: D
Average speed = 350/(150/50+200/70) = 59.76 km/h.
Mathematics Average / Arithmetic Mean
A car covers 140 km at 48 km/h and then 190 km at 68 km/h. Find the average speed for the entire trip.
A. 61.79 km/h
B. 59.79 km/h
C. 55.79 km/h
D. 57.79 km/h
Correct Answer: D
Average speed = 330/(140/48+190/68) = 57.79 km/h.
Mathematics Average / Arithmetic Mean
A car covers 130 km at 46 km/h and then 180 km at 66 km/h. Find the average speed for the entire trip.
A. 53.82 km/h
B. 57.82 km/h
C. 55.82 km/h
D. 59.82 km/h
Correct Answer: C
Average speed = 310/(130/46+180/66) = 55.82 km/h.
Mathematics Average / Arithmetic Mean
A car covers 120 km at 44 km/h and then 170 km at 64 km/h. Find the average speed for the entire trip.
A. 53.87 km/h
B. 51.87 km/h
C. 55.87 km/h
D. 57.87 km/h
Correct Answer: A
Average speed = 290/(120/44+170/64) = 53.87 km/h.
Mathematics Average / Arithmetic Mean
A car covers 110 km at 42 km/h and then 160 km at 62 km/h. Find the average speed for the entire trip.
A. 51.93 km/h
B. 49.93 km/h
C. 53.93 km/h
D. 55.93 km/h
Correct Answer: A
Average speed = 270/(110/42+160/62) = 51.93 km/h.
Mathematics Average / Arithmetic Mean
A car covers 100 km at 40 km/h and then 150 km at 60 km/h. Find the average speed for the entire trip.
A. 50 km/h
B. 52 km/h
C. 48 km/h
D. 54 km/h
Correct Answer: A
Average speed = 250/(100/40+150/60) = 50 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 58 km/h for 2 hours and 87 km/h for 4 hours. What is its average speed?
A. 81.33 km/h
B. 77.33 km/h
C. 75.33 km/h
D. 79.33 km/h
Correct Answer: B
Average speed = (58×2+87×4)/(2+4) = 77.33 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 56 km/h for 4 hours and 84 km/h for 3 hours. What is its average speed?
A. 72 km/h
B. 70 km/h
C. 68 km/h
D. 66 km/h
Correct Answer: C
Average speed = (56×4+84×3)/(4+3) = 68 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 54 km/h for 3 hours and 81 km/h for 6 hours. What is its average speed?
A. 72 km/h
B. 76 km/h
C. 74 km/h
D. 70 km/h
Correct Answer: A
Average speed = (54×3+81×6)/(3+6) = 72 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 52 km/h for 2 hours and 78 km/h for 5 hours. What is its average speed?
A. 72.57 km/h
B. 68.57 km/h
C. 74.57 km/h
D. 70.57 km/h
Correct Answer: D
Average speed = (52×2+78×5)/(2+5) = 70.57 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 50 km/h for 4 hours and 75 km/h for 4 hours. What is its average speed?
A. 64.5 km/h
B. 66.5 km/h
C. 62.5 km/h
D. 60.5 km/h
Correct Answer: C
Average speed = (50×4+75×4)/(4+4) = 62.5 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 48 km/h for 3 hours and 72 km/h for 3 hours. What is its average speed?
A. 60 km/h
B. 62 km/h
C. 58 km/h
D. 64 km/h
Correct Answer: A
Average speed = (48×3+72×3)/(3+3) = 60 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 46 km/h for 2 hours and 69 km/h for 6 hours. What is its average speed?
A. 63.25 km/h
B. 67.25 km/h
C. 65.25 km/h
D. 61.25 km/h
Correct Answer: A
Average speed = (46×2+69×6)/(2+6) = 63.25 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 44 km/h for 4 hours and 66 km/h for 5 hours. What is its average speed?
A. 60.22 km/h
B. 58.22 km/h
C. 56.22 km/h
D. 54.22 km/h
Correct Answer: C
Average speed = (44×4+66×5)/(4+5) = 56.22 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 42 km/h for 3 hours and 63 km/h for 4 hours. What is its average speed?
A. 58 km/h
B. 54 km/h
C. 52 km/h
D. 56 km/h
Correct Answer: B
Average speed = (42×3+63×4)/(3+4) = 54 km/h.
Mathematics Average / Arithmetic Mean
A vehicle moves at 40 km/h for 2 hours and 60 km/h for 3 hours. What is its average speed?
A. 54 km/h
B. 56 km/h
C. 50 km/h
D. 52 km/h
Correct Answer: D
Average speed = (40×2+60×3)/(2+3) = 52 km/h.
Mathematics Average / Arithmetic Mean
Average monthly income for 9 months is Rs. 63000. What income in the next month will raise the average to Rs. 66000?
A. 93000
B. 95000
C. 92000
D. 94000
Correct Answer: A
Required next income = (10×66000)−(9×63000) = Rs. 93000.
Mathematics Average / Arithmetic Mean
Average monthly income for 8 months is Rs. 61000. What income in the next month will raise the average to Rs. 64000?
A. 90000
B. 89000
C. 88000
D. 87000
Correct Answer: C
Required next income = (9×64000)−(8×61000) = Rs. 88000.
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