CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 380/kg and Rs. 435/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 350/kg?
A. 17:-6
B. 18:-6
C. -6:17
D. 17:-5
Correct Answer: A
By allegation, cheaper:dearer = (435−350):(350−380) = 17:-6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 360/kg and Rs. 420/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 340/kg?
A. -1:4
B. 4:-1
C. 4:0
D. 5:-1
Correct Answer: B
By allegation, cheaper:dearer = (420−340):(340−360) = 4:-1.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 340/kg and Rs. 405/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 330/kg?
A. 16:-2
B. 15:-1
C. 15:-2
D. -2:15
Correct Answer: C
By allegation, cheaper:dearer = (405−330):(330−340) = 15:-2.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 320/kg and Rs. 390/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 320/kg?
A. 1:0
B. 0:1
C. 1:1
D. 2:0
Correct Answer: A
By allegation, cheaper:dearer = (390−320):(320−320) = 1:0.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 300/kg and Rs. 375/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 310/kg?
A. 2:13
B. 14:2
C. 13:2
D. 13:3
Correct Answer: C
By allegation, cheaper:dearer = (375−310):(310−300) = 13:2.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 280/kg and Rs. 360/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 300/kg?
A. 4:1
B. 3:1
C. 3:2
D. 1:3
Correct Answer: B
By allegation, cheaper:dearer = (360−300):(300−280) = 3:1.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 260/kg and Rs. 345/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 290/kg?
A. 6:11
B. 11:7
C. 12:6
D. 11:6
Correct Answer: D
By allegation, cheaper:dearer = (345−290):(290−260) = 11:6.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 240/kg and Rs. 330/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 280/kg?
A. 4:5
B. 5:5
C. 6:4
D. 5:4
Correct Answer: D
By allegation, cheaper:dearer = (330−280):(280−240) = 5:4.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 220/kg and Rs. 315/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 270/kg?
A. 9:11
B. 9:10
C. 10:9
D. 10:10
Correct Answer: B
By allegation, cheaper:dearer = (315−270):(270−220) = 9:10.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
Two varieties cost Rs. 200/kg and Rs. 300/kg. In what ratio should the cheaper be mixed with the dearer to obtain an average cost of Rs. 260/kg?
A. 3:3
B. 2:4
C. 3:2
D. 2:3
Correct Answer: D
By allegation, cheaper:dearer = (300−260):(260−200) = 2:3.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 21 people has average 45. Two people aged 34 and 39 leave, and two aged 54 and 59 join. What is the new average?
A. 46.9
B. 47.9
C. 45.9
D. 48.9
Correct Answer: A
Adjust the unchanged-size group's total, then divide by 21. New mean = 46.9.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 20 people has average 44. Two people aged 33 and 38 leave, and two aged 53 and 58 join. What is the new average?
A. 46
B. 47
C. 45
D. 48
Correct Answer: A
Adjust the unchanged-size group's total, then divide by 20. New mean = 46.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 19 people has average 43. Two people aged 32 and 37 leave, and two aged 52 and 57 join. What is the new average?
A. 47.11
B. 46.11
C. 45.11
D. 44.11
Correct Answer: C
Adjust the unchanged-size group's total, then divide by 19. New mean = 45.11.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 18 people has average 42. Two people aged 31 and 36 leave, and two aged 51 and 56 join. What is the new average?
A. 43.22
B. 45.22
C. 46.22
D. 44.22
Correct Answer: D
Adjust the unchanged-size group's total, then divide by 18. New mean = 44.22.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 17 people has average 41. Two people aged 30 and 35 leave, and two aged 50 and 55 join. What is the new average?
A. 43.35
B. 42.35
C. 44.35
D. 45.35
Correct Answer: A
Adjust the unchanged-size group's total, then divide by 17. New mean = 43.35.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 16 people has average 40. Two people aged 29 and 34 leave, and two aged 49 and 54 join. What is the new average?
A. 43.5
B. 42.5
C. 44.5
D. 41.5
Correct Answer: B
Adjust the unchanged-size group's total, then divide by 16. New mean = 42.5.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 15 people has average 39. Two people aged 28 and 33 leave, and two aged 48 and 53 join. What is the new average?
A. 42.67
B. 41.67
C. 43.67
D. 40.67
Correct Answer: B
Adjust the unchanged-size group's total, then divide by 15. New mean = 41.67.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 14 people has average 38. Two people aged 27 and 32 leave, and two aged 47 and 52 join. What is the new average?
A. 39.86
B. 41.86
C. 40.86
D. 42.86
Correct Answer: C
Adjust the unchanged-size group's total, then divide by 14. New mean = 40.86.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 13 people has average 37. Two people aged 26 and 31 leave, and two aged 46 and 51 join. What is the new average?
A. 39.08
B. 42.08
C. 41.08
D. 40.08
Correct Answer: D
Adjust the unchanged-size group's total, then divide by 13. New mean = 40.08.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A group of 12 people has average 36. Two people aged 25 and 30 leave, and two aged 45 and 50 join. What is the new average?
A. 39.33
B. 41.33
C. 38.33
D. 40.33
Correct Answer: A
Adjust the unchanged-size group's total, then divide by 12. New mean = 39.33.