Average
- The average of 9 numbers is 30. The average of first 5 numbers is 25 and that of the last 3 numbers is 35. What is the 6th number?
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According to question,
The average of 9 numbers = 30
Now,The total of 9 numbers = 30 × 9 = 270
The average of first 5 numbers = 25
∴ The total of first 5 numbers = 25 × 5 = 125
and Total of last 3 numbers = 3 × 35 = 105
Required answer = The total of 9 numbers - ( The total of first 5 numbers + Total of last 3 numbers )Correct Option: C
According to question,
The average of 9 numbers = 30
Now,The total of 9 numbers = 30 × 9 = 270
The average of first 5 numbers = 25
∴ The total of first 5 numbers = 25 × 5 = 125
and Total of last 3 numbers = 3 × 35 = 105
Required answer = The total of 9 numbers - ( The total of first 5 numbers + Total of last 3 numbers )
Hence, required answer = 270 – (125 + 105) = 270 – 230 = 40
- In an examination the average marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects is 58, his score in maths was
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Here , The average marks obtained by John in English, Maths, Hindi and Drawing = 50.
Average marks in Maths, Science, Social Studies and Craft = 70
The average marks in all seven subjects = 58
According to question ,
Marks in Maths = 50 × 4 + 70 × 4 – 58 × 7
Marks in Maths = 200 + 280 – 406Correct Option: D
Here , The average marks obtained by John in English, Maths, Hindi and Drawing = 50.
Average marks in Maths, Science, Social Studies and Craft = 70
The average marks in all seven subjects = 58
According to question ,
Marks in Maths = 50 × 4 + 70 × 4 – 58 × 7
Marks in Maths = 200 + 280 – 406
Marks in Maths = 480 – 406 = 74
- The average revenues of 7 consecutive years of a company is Rs. 75 lakhs. If the average of first 4 years is Rs. 70 lakhs and that of last 4 years is Rs. 82 lakhs, what will be the revenue for the 4th year ?
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Given , The average revenues of 7 years = Rs. 75 lakhs
The average revenues of first 4 years = Rs. 70 lakhs
The average revenues of last 4 years = Rs. 82 lakhs
According to question ,
Revenue of fourth year = Rs. (4 × 82 + 4 × 70 – 7 × 75) lakhs
Revenue of fourth year = Rs. (328 + 280 – 525) lakhsCorrect Option: B
Given , The average revenues of 7 years = Rs. 75 lakhs
The average revenues of first 4 years = Rs. 70 lakhs
The average revenues of last 4 years = Rs. 82 lakhs
According to question ,
Revenue of fourth year = Rs. (4 × 82 + 4 × 70 – 7 × 75) lakhs
Revenue of fourth year = Rs. (328 + 280 – 525) lakhs = Rs. 83 lakhs
- The average temperature for Monday, Tuesday, Wednesday and Thursday was 48° . The average temperature for Tuesday, Wednesday, Thursday and Friday was 52°, If the temperature on Monday was 42°, then the temperature on Friday was (in degrees)
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Given that , The average temperature for Monday, Tuesday, Wednesday and Thursday = 48°
Monday + Tuesday + Wednesday + Thursday = 4 × 48° = 192° ..... (i)
The average temperature for Tuesday, Wednesday, Thursday and Friday = 52°
Tuesday + Wednesday + Thursday + Friday = 4 × 52° = 208° ..... (ii)
By equation (ii) – (i),Correct Option: A
Given that , The average temperature for Monday, Tuesday, Wednesday and Thursday = 48°
Monday + Tuesday + Wednesday + Thursday = 4 × 48° = 192° ..... (i)
The average temperature for Tuesday, Wednesday, Thursday and Friday = 52°
Tuesday + Wednesday + Thursday + Friday = 4 × 52° = 208° ..... (ii)
By equation (ii) – (i),
Friday – Monday = 208° – 192° = 16
⇒ Friday = 16 + 42 = 58°
- Nine students of a class contribute a certain sum of money. Seven of them gave Rs. 50 each and the other two gave respectively Rs. 50 and Rs. 90 more than the others. The average contribution of the class of 9 students is :
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Let Average contribution of 9 students of the class = Rs. p
According to the question,∴ x = 7 × 50 + p + 50 + p + 90 9
⇒ 350 + 2p + 140 = 9p
⇒ 9p – 2p = 490
Correct Option: A
Let Average contribution of 9 students of the class = Rs. p
According to the question,∴ x = 7 × 50 + p + 50 + p + 90 9
⇒ 350 + 2p + 140 = 9p
⇒ 9p – 2p = 490
⇒ 7p = 490⇒ p = 490 = Rs. 70 7