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- Question
- 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
- Correct Answer
- 1032
ExplanationLet 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 - 1. If 47a + 47b = 5452, what is the average of a and b?
Options- A. 116
- B. 23.5
- C. 96
- D. 58 Discuss
- 2. 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 Discuss
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. A car travels a certain distance from town A to town B at the speed of 42 km/h and from town B to town A at a speed of 48 km/h. What is the average speed of the car?
Options- A. 45 km/h
- B. 46 km/h
- C. 44 km/h
- D. Cannot be determind Discuss
- 10. The average of four positive integers is 73.5. The highest integer is 108 and the lowest integer is 29, the difference between the remaining two integers is 15. Which of the following is the smaller of the remaining two integers?
Options- A. 80
- B. 86
- C. 73
- D. Cannot be determind Discuss
Average problems
Search Results
Correct Answer: 58
Explanation:
47(a + b) = 5452
? a + b = 5452/47 = 116
? Average value = (a + b)/2
= 116/2
= 58
Correct Answer: 10/11
Explanation:
According to the question,
70m + 91n = 80 (m + n)
⇒ 70m + 91n = 80m + 80n
⇒ 10m = 11n
⇒ n/m = 10/11
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: ? 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
Correct Answer:
Explanation:
If two equal distance are covered at different speeds at A km/h and B km/h respectively, then
Average speed during the whole journey = 2AB/(A + B) km/h
? Average speed of the car = (2 x 42 x 48) / (42 + 48)
= (2 x 42 x 48)/90
= 44.8 km/h
Correct Answer:
Explanation:
Let one integer be x.
? Other ingeger x + 15
According to the question,
29 + x + x + 15+ 108 = 4 x 73.5
? 2x + 152 = 294
? 2x = 294 - 152 = 142
? x = 142/2 = 71
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