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- Question
The average of the test scores of a class of 'm' students is 70 and that of 'n' students is 91. When the scores of both the classes are combined, the average is 80. What is n/m?
Options- A. 11/10
- B. 13/10
- C. 10/13
- D. 10/11
- Correct Answer
- 10/11
ExplanationAccording to the question,
70m + 91n = 80 (m + n)
⇒ 70m + 91n = 80m + 80n
⇒ 10m = 11n
⇒ n/m = 10/11 - 1. The average of 5 consecutive old positive integers is 9. The least one amongt them is
Options- A. 5
- B. 3
- C. 1
- D. 7 Discuss
- 2. The average of 11 numbers is 36. Out of these 11 numbers, the average of 9 numbers is 34. If the ratio of remaining two numbers is 2 : 3, find out the smaller number.
Options- A. 18
- B. 36
- C. 54
- D. 48 Discuss
- 3. The mean temperature of Monday to Wednesday was 37°C and of Tuesday to Thursday was 34°C. If the temperature on Thursday was 4/5 that of Monday, the temperature of Thursday was
Options- A. 35.5°C
- B. 34°C
- C. 36.5°C
- D. 36°C Discuss
- 4. The average age of the 30 woman decreases by 3 month if a new person Priyanka is included in place of 25 yr old woman. Calculate the age of Priyanka.
Options- A. 17.5 yr
- B. 20 yr
- C. 30 yr
- D. 22 yr Discuss
- 5. The average age of 5 member of a family is 25 yr. If the servant of the family is included the average age increased by 40% .What is the age of servant?
Options- A. 85 yr
- B. 90 yr
- C. 73 yr
- D. 55 yr Discuss
- 6. If 47a + 47b = 5452, what is the average of a and b?
Options- A. 116
- B. 23.5
- C. 96
- D. 58 Discuss
- 7. The average salary per head of all workers of an institution is ? 60. The average salary per head of 12 officers is ? 400. The average salary per head of the rest is ? 56. Then, the total number of workers in the institutions?
Options- A. 1030
- B. 1032
- C. 1062
- D. 1060 Discuss
- 8. Roshan bought 5 pants at ?25 each, 10 shirts at ? 50 each and 15 ties at ? 35 each. Find the average price of all the articles.
Options- A. ? 38.33
- B. ? 45
- C. ? 60
- D. ? 45.33 Discuss
- 9. The average weight of a class of 15 boys and 10 girls is 38.4 kg. If the average weight of the boys is 40 kg, then what is the average weight of the girls?
Options- A. 36.5 kg
- B. 35 kg
- C. 36 kg
- D. 35.6 kg Discuss
- 10. The average marks of 120 students are 35. if the average of passed stuydents was 39. and failed students was 15 then find the number of students who have passed
Options- A. 80
- B. 100
- C. 120
- D. 140 Discuss
Average problems
Search Results
Correct Answer: 5
Explanation:
Let the 5 consecutive positive integers be x + 1, x + 3, x + 5, x + 7, x + 9
Average = (Sum of all terms) / (Number of terms)
⇒ 9 = [(x + 1) + (x + 3) + (x + 5) + (x + 7) + (x + 9)]/5
⇒ 9 = (5x +25)/5
⇒ 45 = 5x + 25
⇒ 5x = 45 - 25
∴ 5x = 20 ⇒ x = 4
The least one is x + 1 = 4 + 1 = 5
Correct Answer: 36
Explanation:
Sum of 11 numbers = 36 x 11 = 396
Sum of 9 numbers = 34 x 9 = 306
Sum of remaining two numbers =396 - 306 = 90
? The smaller number = (2 x 90)/(2 + 3) = 180/5 = 36
Correct Answer: 36°C
Explanation:
Temperature of (Mon + Tue + Wed) = 37 x 3 = 11°C
Temperature of (Tue + Wed + Thu) = 34 x 3 = 102°C
Temperature of (Mon - Thu) = 111°C - 102°C = 9°C
Temperature of [Mon - 4/5(Mon] = 9
Temperature of Monday = 9 x 5 = 45°C
? Temperature of Thursday = 45 x 4/5 = 36°C
Correct Answer: 17.5 yr
Explanation:
Here, average decreases by 3 months of 3/12 yr.
Sum of ages decreased
= 30 x 3/12 = 15/2 = 7.5 yr
? Age of priyanka = (25 - 7.5) = 17.5 yr.
Correct Answer: 85 yr
Explanation:
Total age of 5 members = 25 x 5 = 125 yr
Total age of 5 member and the servant
= (25 + 25 x 40/100) x 6
= 35 x 6 = 210 yr
? Age of the servant = 210 - 125 = 85 yr
Correct Answer: 58
Explanation:
47(a + b) = 5452
? a + b = 5452/47 = 116
? Average value = (a + b)/2
= 116/2
= 58
Correct Answer: 1032
Explanation:
Let The total number of workers = N
According To the question,
60N = 12 x 400 + 56 (N - 12)
? 60N - 56N = 4800 - 672
? 4N = 4128
? N = 1032
Correct Answer: ? 38.33
Explanation:
Here, n1 = 5, n2 = 10, n3 = 15, a1 = 25, a2 = 50, a3 = 35
According to the formula,
Average price = (n1a1 + n2a2 + n3a3) / (n1 + n2 + n3)
= (5 x 25 + 10 x 50 + 15 x 35) / (5 + 10 + 15)
= (25 + 100 + 105) / (1 + 2 + 3)
= 230/6
= ? 38.33
Correct Answer: 36 kg
Explanation:
Given that, number of boys (n1) = 15
Numbers of girls (n2)= 10
Average weight of boys and girls = 38.4 kg
Average of boys = 40 kg
Let average of girls be a2
By formula, average = (na1 + n2 a2) / (n1 + n2)
? 38.4 = (15(40) + 10 x a2)/(15 + 10)
? 38.4 x 25 = 600+ 10a2
? a2= (960 - 600)/10 = 360/10 = 36 kg
Correct Answer: 100
Explanation:
Here n = 120, a = 35, x = 39, y = 15
Number of students passed = n (a - y)/(x - y)
= 120(35 - 15)/(39 -15)
= 100 students passed
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