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- Question
- If the average of the ages of Rakesh and Mohan is 15, average of the ages of Mohan and Ramesh is 12 and the average of the ages of Rakesh and Rameh is 13, then the age of Mohan, is?
Options- A. 16
- B. 13
- C. 14
- D. 12
- Correct Answer
- 14
ExplanationLet ages of Rakesh, Mohan and Ramesh be R, M and r, respectively .
Then, R + M = 15 x 2 = 30.......(i)
M + r = 12 x 2 = 24 ........(ii)
r + R = 13 x 2 = 26 ..... (iii)
Adding Eqs. (i), (ii) and (iii), we get
2(R + M + r) = 30 + 24 + 26 = 80
? R + M + r = 40
Subtracting Eq. (iii) from Eq. (iv), we get
M = 40 - 26 = 14 - 1. The ratio of pens and pencil in a stationary shop is 3 : 2, respectively, The average number of pens and pencils is 180. What is the 30% of number of pencils in the shop?
Options- A. 150
- B. 144
- C. 245
- D. 115 Discuss
- 2. The average age of a man and his two twin sons born on the same day is 30 yr. The ratio of the ages of father and one son is 5 : 2, What is the father's age?
Options- A. 50 yr
- B. 30 yr
- C. 45 yr
- D. 20 yr Discuss
- 3. The average age of 54 girls in a class was calculated as 14 yr. It was later relized that the actual age of one of the girls in the class was 10.5 yr but it was calculated as 13 yr. What is the actual averge age (round off) of the the girls in the class? (Find the approximate answer.)
Options- A. 10.50 yr.
- B. 12.50 yr
- C. 12 yr
- D. 14 yr Discuss
- 4. Average of a, b and c is 11; average of c, d and e is 17; average of e and f is 22 and average of e and c is 17. Find out the average of a, b, c, d, e and f?
Options- A. 152/3
- B. 181/2
- C. 211/3
- D. 161/2 Discuss
- 5. A person bought some oranges worth ? 36 from each of the five markets at ? 1, ? 1.50, ? 1.80, ? 2 and ? 2.25 per orange, respectively. What is the average price of an orange?
Options- A. ? 1.91
- B. ? 2.00
- C. ? 1.58
- D. ? 1.80 Discuss
- 6. The average age of 5 sisters is 20 yr. If the age of the youngest sister be 4yr. What was the average age of the group of sister at the birth of the yongest sisiter?
Options- A. 25 yr
- B. 15 yr
- C. 18 yr
- D. 20 yr Discuss
- 7. Out of the three annual examinations, each with a total of 500 marks, a student secured average marks of 45% and 55% in the first and second annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the third annual examination?
Options- A. 450
- B. 400
- C. 350
- D. 300 Discuss
- 8. The average age of women and child workers in a factory was 15 yr. The average age of all the 16 children was 8 yr and average age of women workers was 22 yr. If 10 women workers were married, then the number of unmarried women workers was.
Options- A. 16
- B. 12
- C. 8
- D. 6 Discuss
- 9. If the average age of Dinesh and Mahesh is 16 yr, the average age of Mahesh and Rahul is 13 yr and the average age of Dinesh and Rahul is 14 yr, then what is the age of Mahesh?
Options- A. 15 yr
- B. 20 yr
- C. 58 yr
- D. 16 yr Discuss
- 10. In a class, there are 80 students and their average marks in the annual examination are 40. If the average marks of passed students are 60 and average marks of failed students are 35, then find out the number of students who failed.
Options- A. 63
- B. 60
- C. 72
- D. 64 Discuss
Average problems
Search Results
Correct Answer:
Explanation:
The average number of pens and pencils = 180
? Totol number of pens and pencils = 180 x 2 = 360
? Total number of pencils in the shop = 360 x (2/5) = 144
? 30% of 144 = (30/100) x 144 = 43.2 = 43
= 43 (approx)
Correct Answer: 50 yr
Explanation:
According to the question,
Average age of man and his twin sons = 30
? Total age = 30 x 3 = 90 yr.
According to the question,
Ratio of father and one son = 5 : 2
? Ratio of father and both the sons = 5 : 2 : 2
(As sons are born on the same day.)
? 5k + 2k + 2k = 90 or 9k = 90
? k = 10
? Age of father = 5 x 10 = 50 yr.
Correct Answer: 14 yr
Explanation:
Total actual age of 54 girls = (54 x 14) - 13 + 10 .5
= 753.5 yr
? Require average age = 753.5/54
= 13.95 yr
= 14 yr(approx).
Correct Answer: 152/3
Explanation:
According to the question,
a + b + c = 11 x 3 = 33 ......(i)
c + d + e = 17 x 3 = 51 ...........(ii)
e + f = 22 x 2 = 44 ........... (iii)
e + c = 17 x 2 = 34 ..........(iv)
From Eqs. (ii) and (iv), we get
34 + d = 51
or d = 17 ....(v)
Now, by adding Eqs. (i), (iii) and (v), we get
a + b + c + d + e + f = 33 + 44 + 17 = 94
? Average of a, b, c, d, e and f = 94/6
= 47 / 3
= 152/3
Correct Answer: ? 1.58
Explanation:
Number of oranges bought by the person
= 36/1 + 36/1.50 + 36/1.80 + 36/2 + 36/2.25
= 36 + 24 + 20 + 18 + 16
= 114
Total expenditure = 36 x 5 = ? 180
Thus, average price of each orange
= ? 180/114
= ? 1.58
Correct Answer: 20 yr
Explanation:
Total age of 5 sister = 20 x 5 = 100 yr.
4 yr ago, total sum of ages
= 100 - ( 5 x 4) = 100 - 20 = 80 yr
But at that time (4 yr ago), there were 4 sister in the group.
? Average age at that time(4 yr ago) = 80/4 = 20 yr.
Correct Answer: 400
Explanation:
Total marks for three examinations = 3x 500 = 1500
Total required marks in three examinations = 60% of 1500
=( 3 x 500 x 60 ) / 100
= 900
Marks secured in first examination = 45 % of 500
=( 500 x 45 ) / 100
=225
Marks secured in third examination = 55 % of 500
=( 500 x 55 ) / 100
=275
Thus, the required marks in third examination
=900 - ( 225 + 275 )
=900 - 500
= 400
Correct Answer: 6
Explanation:
Let the number of women workers be Y.
Then, 22y + 16 x 8 = 15 (16+y)
? 22y + 128 = 240 + 15y
? 22y - 15y= 240 - 128
? y = 16
? Unmarried women workers = 16 - 10 = 6
Correct Answer: 15 yr
Explanation:
Let ages of Dinesh, Mahesh and Rahul be D, M and R, respectively.
Then,
D + M = 2 x 16 = 32 ...(i)
M + R = 2 x 13 = 26 ....(ii)
D + R = 2 x14 = 28 ....(iii)
On adding Eqs. (i), (ii) and (iii), we get
2(D + M + R) =86
? D + M + R = 43 ....(iv)
On subtracting Eqs. (iii) from Eq. (iv), we get
M = 43 - 28
? M = 15 Yr
Correct Answer: 64
Explanation:
Let the number of failed student = Y
? Number of passed student = 80 - Y
sum of marks of all students = sum of marks of passed students + sum of marks of failed students
80 x 40 = (80 - Y) x 60 + 35Y
? 3200 =4800 - 60Y + 35Y
? 25Y = 1600
? Y = 64
? Number of students who failed = 64
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