DIRECTIONS : Problems based on Average.
31. |
Three years ago, the average age of A and B was 18 years. With C joining them, the average age becomes 22 years. How old is C now? |
|
A. 18 years |
|
B. 24 years |
|
C. 27 years |
|
D. 28 years |
Solution |
Present age of (A+B) |
= (18x2+3x2) years |
= 42 years. |
Present age of (A+B+C) |
= (22x3) years |
= 66 years. |
∴ C's age |
= (66 - 42) years |
= 24 years. |
|
32. |
The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students? |
|
A. 14 years |
|
B. 17 years |
|
C. 19 years |
|
D. 21 years |
Solution |
Sum of the ages of 14 students | = (16 x 35) - (14 x 21)
|
= 560 - 294. |
= 266. |
∴ Required average | = 266 / 14
|
= 19 years. |
|
33. |
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is |
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A. 45 kg |
|
B. 50 kg |
|
C. 53 kg |
|
D. 55 kg |
Solution |
Weight of the teacher | = (35.4 x 25 - 35 24)kg |
= 45 kg. |
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