Averages and Mixtures - Expert Level: conceptual clarity
Averages and MixturesEXPERT
This skill evaluation ⚡ worksheet focuses on Averages and Mixtures - a key topic in Data Sufficiency. You'll solve 20 expert-level problems (Worksheet 9 of 10). The primary focus is on conceptual clarity. Master averages and mixtures ssc cgl, averages and mixtures reasoning tricks, and fast averages and mixtures solving through systematic practice.
Master averages and mixtures ssc cgl through focused practice
Understand the logic behind averages and mixtures reasoning tricks
Learn step-by-step approaches to conceptual clarity
Develop intuition for instant problem recognition
Achieve mastery with the most difficult problem types
Your progress through Averages and Mixtures
Worksheet 9 of 10 (88% complete)
Question 1
Question: What is the average weight of the class?
Statement (1): Average weight of 20 boys is 60 kg.
Statement (2): Average weight of 15 girls is 50 kg.
Combined average = (20×60 + 15×50)/(20+15) = (1200 + 750)/35 = 1950/35 ≈ 55.71 kg.
Question 2
Question: What is the average weight of the class?
Statement (1): Average weight of 20 boys is 60 kg.
Statement (2): Average weight of 15 girls is 50 kg.
Combined average = (20×60 + 15×50)/(20+15) = (1200 + 750)/35 = 1950/35 ≈ 55.71 kg.
Question 3
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 4
Question: What is the average weight of the class?
Statement (1): Average weight of 20 boys is 60 kg.
Statement (2): Average weight of 15 girls is 50 kg.
Combined average = (20×60 + 15×50)/(20+15) = (1200 + 750)/35 = 1950/35 ≈ 55.71 kg.
Question 5
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 6
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 7
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 8
Question: What is the average weight of the class?
Statement (1): Average weight of 20 boys is 60 kg.
Statement (2): Average weight of 15 girls is 50 kg.
Combined average = (20×60 + 15×50)/(20+15) = (1200 + 750)/35 = 1950/35 ≈ 55.71 kg.
Question 9
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 10
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 11
Question: What is the average weight of the class?
Statement (1): Average weight of 20 boys is 60 kg.
Statement (2): Average weight of 15 girls is 50 kg.
Combined average = (20×60 + 15×50)/(20+15) = (1200 + 750)/35 = 1950/35 ≈ 55.71 kg.
Question 12
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 13
Question: What is the average weight of the class?
Statement (1): Average weight of 20 boys is 60 kg.
Statement (2): Average weight of 15 girls is 50 kg.
Combined average = (20×60 + 15×50)/(20+15) = (1200 + 750)/35 = 1950/35 ≈ 55.71 kg.
Question 14
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 15
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 16
Question: What is the average weight of the class?
Statement (1): Average weight of 20 boys is 60 kg.
Statement (2): Average weight of 15 girls is 50 kg.
Combined average = (20×60 + 15×50)/(20+15) = (1200 + 750)/35 = 1950/35 ≈ 55.71 kg.
Question 17
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 18
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 19
Question: What is the average of 5 numbers?
Statement (1): Sum of the 5 numbers is 250.
Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
Question 20
Question: What is the average weight of the class?
Statement (1): Average weight of 20 boys is 60 kg.
Statement (2): Average weight of 15 girls is 50 kg.
Combined average = (20×60 + 15×50)/(20+15) = (1200 + 750)/35 = 1950/35 ≈ 55.71 kg.
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