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- Question
- Out of three annual exams, each of maximum marks of 600, Lalit secured average marks of 55% and 60% in the first two exams. How many marks should Lalit score in 3rd test exam to make his overall average equal to 70%?
Options- A. 560
- B. 570
- C. 590
- D. 500
- Correct Answer
- 570
ExplanationTotal required marks in the three examinations = (3 x 600 x 70)/100 =1260
Marks secured in first examination = 55% of 600 = ( 600 x 55)/100 =330
Marks secured in second examination = 60% of 600 = ( 600 x 60)/100 =360
Thus, the required marks in third examination = 1260 - (330 + 360)
= 1260 - 690
= 570 - 1. The average age of all the members of a family is 25 yr. The average age of males is 30 yr while the average age of females is 20 yr. If the number of females in the family is 15, then find out the number of males.
Options- A. 20
- B. 30
- C. 15
- D. 18 Discuss
- 2. The average age of 25 girls in a class decreases by 6 months when a new girl takes the place of 20 year old girl. Find out the age of the new girl.
Options- A. 7.5 yr
- B. 8.5 yr
- C. 9 yr
- D. 6 yr Discuss
- 3. Average value of property of three persons A, B, C is ? 11111 crore. The property of C is as less as the property of A is greater than the average property of both C and A. The value of property of B is.
Options- A. 110 crore
- B. 11211 crore
- C. 11111 crore
- D. 21410 crore Discuss
- 4. The average salary of the entire staff in an office is ? 200 per day. The average salary of officers is ? 550 and that of non officers is ? 120. If the number of officers is 16, then find the number of non officers in the office.
Options- A. 72
- B. 60
- C. 70
- D. 65 Discuss
- 5. The average age of 45 students in a class in 13 yr, 15 new students with an average age of 18 yr join the class. What is the average age of all the students in the class?
Options- A. 13.15 yr
- B. 14.25 yr
- C. 12.28 yr
- D. 16.42 yr Discuss
- 6. The mean marks of 30 students in a class is 58.5. Later on, it was found that 75 was wrongly recorded as 57. Find the correct mean.
Options- A. 57.4
- B. 57.5
- C. 58.9
- D. 59.1 Discuss
- 7. If the total sales for a business in a certain year were ? 132000. What were the sales in june, if june sales were half the monthly average?
Options- A. ? 8400
- B. ? 7200
- C. ? 5500
- D. ? 6300 Discuss
- 8. The average monthly income of a person in a certain family of 5 members is ? 1000. What will be monthly average income of a person in the same family, if the income of one person increased by ? 12000 per year?
Options- A. ? 1200
- B. ? 1600
- C. ? 2000
- D. ? 3400 Discuss
- 9. The average temperature of the first three days of the week is 25° C and that of the next three days is 27° C If the average ofthe whole week is 26.5° C, then the temperature of the last week of the week is
Options- A. 31.5° C
- B. 29.5° C
- C. 21° C
- D. 27.5° C Discuss
- 10. Five years ago, the average age of four men was 48 yr. Now, a new man joins and the average age increases by 2 yr. What is the age of the new man?
Options- A. 36 yr
- B. 42 yr
- C. 41 yr
- D. 38 yr Discuss
Average problems
Search Results
Correct Answer: 15
Explanation:
Let number of males = y
Then, total number of family members = 15 + y
Sum of age of family members = sum of age of males + sum of age of females
25(15 + y) = 30y + 15x20
? 375 + 25y = 30y + 300
? 5y = 75
? y = 15
Correct Answer: 7.5 yr
Explanation:
Total decrease in the age = 25 x 1/2 =12.5 yr
? Age of new girl = 20 - 12.5
= 7.5 yr
Correct Answer: 11111 crore
Explanation:
( A + B + C ) / 3 = 11111 ....(i)
Also, ( A+C ) / 2 = 11111 ....(ii)
From Eqs. (i) & (ii), we get
B = ? 11111 crore
Correct Answer: 70
Explanation:
Let the number of non-officers be y.
Then number of entire staff = 16 + y
Sum of total salary = 200(16 + y)
=16 x 550 + 120y
? 120y + 550 x 16 = 200x16 + 200y
? 3y +220 = 80 + 5y
? 2y = 140
? y = 140/2 = 70
Correct Answer: 14.25 yr
Explanation:
Sum of the age of 45 students = 45 x 13 = 585 yr
Sum of the age of 15 students = 15 x18 = 270 yr
Sum of the age of all students = sum of the age of 45 students + sum of the age of 15 students
= 585 yr + 270 yr
=855 yr
? Average age of all students = 855 ? 60
= 14.25 yr
Correct Answer: 59.1
Explanation:
Correct mean = ( sum of total marks - 57 + 75 ) / 30
= ( 30 x 58.5 - 57 + 75 ) / 30
= (1755 + 18 ) / 30
= 59.1
Correct Answer: ? 5500
Explanation:
Monthly sale = yearly sale / 2
= 132000 / 2
= ? 11000
June's sale = monthly sale / 2
= 11000 / 2
= ? 1000
Correct Answer: ? 1200
Explanation:
Total Income of the family per month
= 5 x 1000
= ? 5000
Increased amount per month = 12000/12 = ? 1000
Now, total amount of family income = ? 6000 per month
So, the average income of the family per month after increase = 6000/5
= ? 1200
Correct Answer: 29.5° C
Explanation:
Let the temperature on the last day of the week be x° C
Average of the week = ( 3 x 25 + 3 x 27 + x ) / 7 = 26.5
? 3 x 25 + 3 x 27 + x = 7 x 26.5
? 156+ x = 185.5
? x = 29.5
So, the temprature on the last day of the week is 29.5° C
Correct Answer: 38 yr
Explanation:
Sum of the ages of 4 men five years ago
= 48 x 4
=192 yr
And sum of present ages of the four men
= 192 + 5 x 4
= 212 yr
Now ( 212 + Age of the new man ) / 5 = 50
? Age of the new man = 50 x 5 - 212
= 38 yr.
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