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- Question
In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Options- A. 6
- B. 12
- C. 24
- D. 18
- Correct Answer
- 24
ExplanationYou could solve this by drawing a Venn diagram. A simpler way is to realize that you can subtract the number of students taking both languages from the numbers taking French to find the number taking only French. Likewise find those taking only German. Then we have:Total = only French + only German + both + neither
78 = (41-9) + (22-9) + 9 + neither.
Not enrolled students = 24
- 1. P, Q, R, S, T and U are six consecutive odd numbers and their average is 52. What is the product of P and U ?
Options- A. 2212
- B. 2154
- C. 2349
- D. 2679 Discuss
- 2. The average age of 36 students in a group is 14 years. When the teacher's age is included in it, the average increases by one. The teacher's age in years is
Options- A. 31
- B. 51
- C. 36
- D. 54 Discuss
- 3. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is :
Options- A. 25
- B. 35
- C. 45
- D. 55 Discuss
- 4. Find the average of first 50 natural numbers?
Options- A. 25
- B. 25.5
- C. 26
- D. 26.5 Discuss
- 5. The average marks of a student in 7 subjects is 85. His average marks in 6 subjects except English is 83. What is his marks in English ?
Options- A. 97
- B. 98
- C. 92
- D. 93 Discuss
- 6. The average of 9 results is 50. The average of the first four results is 52 and the average of the last four results is 49. what is the fifth result?
Options- A. 48
- B. 46
- C. 52
- D. 44 Discuss
- 7. The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is :
Options- A. 6000
- B. 7000
- C. 8888
- D. 9000 Discuss
- 8. In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ?
Options- A. Rs. 4680
- B. Rs. 4420
- C. Rs. 4960
- D. Rs. 5480 Discuss
- 9. David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?
Options- A. 75
- B. 68
- C. 65
- D. 60 Discuss
- 10. The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ?
Options- A. 40.36
- B. 41.24
- C. 41.92
- D. 42.05 Discuss
Average problems
Search Results
Correct Answer: 2679
Explanation:
Let x, x+2, x+4, x+6, x+8 and x+10 are six consecutive odd numbers.
Given that their average is 52
Then, x + x+2 + x+4 + x+6 + x+8 + x+10 = 52×6
6x + 30 = 312
x = 47
So Product = 47 × 57 = 2679
Correct Answer: 51
Correct Answer: 35
Explanation:
Excluded number = (27 x 5) - (25 x 4) = 135 - 100 = 35.
Correct Answer: 25.5
Explanation:
We Know that sum of the n natural numbers =
Then sum of 50 natural numbers= = 1250
Average of the 50 natural numbers = = 25.5
Correct Answer: 97
Explanation:
Marks in English = 85×7 ? 83×6
= 595 ? 498
= 97
Correct Answer: 46
Explanation:
Total of first four results = 52 x 4 = 208
Total of Last four results = 49 x 4 = 196
Hence the fifth result = 450 - (208 + 196) = 46
Correct Answer: 9000
Explanation:
Let their prices be 3x, 5x and 7x.
Then, 3x + 5x + 7x = (15000 * 3) or x = 3000.
Cost of cheapest item = 3x = Rs. 9000.
Correct Answer: Rs. 4680
Explanation:
Let the expenditure on the 95 students be 'x'
Then,
95x + 500 = 120(x ? 5)
95x + 500 = 120x - 600
120x - 95x = 1100
25x = 1100
=> x = 44
Therefore, total expenditure of the hostel becomes
95 x 44 + 500 = 4680.
Correct Answer: 75
Explanation:
Average = (76 + 65 + 82 + 67 + 85 )/ 5 = 375/5 = 75.
Correct Answer: 40.36
Explanation:
Given,
mean of 100 observations is 40
=> Total of 100 observations = 40 x 100 = 4000
84 is misread as 48
=> Difference = 84 - 48 = 36
=> Now, new total of 100 observations = 4000 + 36 = 4036
Correct Mean = 4036/100 = 40.36
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