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- Question
- 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
- Correct Answer
- 15 yr
ExplanationLet 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 - 1. 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
- 2. 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
- 3. 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
- 4. 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 Discuss
- 5. 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
- 6. 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
- 7. Last year Sahara, Tata, Singhania and Birla each has 250 industries. This year everyone has sold out 10 factories due to the recession of the economy and poor turnout. The average number of industries which of them now has
Options- A. 260
- B. 240
- C. 25
- D. none of these Discuss
- 8. The ratio of ages of the father and the daughter at present is 3 : 1. Four year ago the ratio was 4 : 1 . The average age of the father and daughter 2 year hence will be
Options- A. 24
- B. 26
- C. 25
- D. 36 Discuss
- 9. The average of three number is 42. The first is twice the second and the second is twice the third the different between the third largest and the smallest number number is?
Options- A. 18
- B. 36
- C. 54
- D. 72 Discuss
- 10. The average earning of a mechanic for the first-four days of a week is Rs. 18 and for the last four days is Rs. 22. If he earns Rs . 20 on the fourth day, his average earning for the whole week is?
Options- A. Rs . 18.95
- B. Rs 16
- C. Rs. 20
- D. Rs. 25.71 Discuss
Average problems
Search Results
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: 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: 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: 14
Explanation:
Let 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
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: 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
Correct Answer: 240
Explanation:
Required average
= Old average - Sold average
= ( 250 ) - ( 10 ) = 240
Correct Answer: 36
Explanation:
Let the present ages of father be 3x and daughter be x .
so the 4 year ago father's age and daughter's age was
( 3x - 4 ) and ( x - 4 )
? ( 3x - 4 / x -4 ) = 4 / 1
? x = 12 year and 3x = 36 year
Correct Answer: 54
Explanation:
Let third number = y
Then, second number = 2y
and first number =4y
? ( y + 2y + 4y) / 3 = 42
? 7y = 42 x 3
? y = 18
so, (largest) - (smallest) = ( 4y - y)
= 3y
=54
Correct Answer: Rs. 20
Explanation:
Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day
= 4 x18 + 4 x 22 -20
= Rs. 140
? Average earning = 140 / 7
= Rs. 20
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