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- Question
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-
Options- A. 1:2
- B. 2:3
- C. 3:4
- D. 3:5
- Correct Answer
- 2:3
ExplanationLet the ratio be x : y
Total boys = 16.4 X x
Total girls = 15.4 X y
Total number of students in class = 16.4x + 15.4y
The average age of all students is 15.8
The total age of boys is 15.8x
The total age of girls is 15.8y
16.4x + 15.4y = 15.8x + 15.8y
0.6 x = 0.4 y
x/y = 0.4/0.6 = 2/3 - 1. A certain factory employed 600 men and 400 women and the average wager was Rs. 25.50 per day, If a woman got Rs. 5 less than a man, then what are their daily wages ?
Options- A. m:25.50 w:27.50
- B. m:27.50 w:22.50
- C. m:26.50 w:27.50
- D. m: 24.50 w:26.50 Discuss
- 2. A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was :
Options- A. 665
- B. 657
- C. 658
- D. 678 Discuss
- 3. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
Options- A. 20
- B. 21
- C. 23
- D. 24 Discuss
- 4. The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp
Options- A. 1030
- B. 1032
- C. 1062
- D. 1060 Discuss
- 5. The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Options- A. 62 degrees
- B. 64 degrees
- C. 65 degrees
- D. 66 degrees Discuss
- 6. The average temperature for Monday, Tuesday, Wednesday and Thursday was 48° . The average temperature for Tuesday, Wednesday, Thursday and Friday was 52°, If the temperature on Monday was 42°, then the temperature on Friday was (in degrees)
Options- A. 58
- B. 56
- C. 52
- D. 50 Discuss
- 7. A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
Options- A. 285
- B. 290
- C. 297
- D. 305 Discuss
- 8. The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus?
Options- A. 54.21 kgs
- B. 51.07 kgs
- C. 52.66 kgs
- D. 53.45 kgs Discuss
- 9. A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?
Options- A. 6.23
- B. 7.98
- C. 8.97
- D. 9.89 Discuss
- 10. 19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?
Options- A. Rs. 1398.96
- B. Rs. 1457.09
- C. Rs. 1662.35
- D. Rs. 1536.07 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: m:27.50 w:22.50
Explanation:
Let the daily wage of a man be Rs. x.
Then, daily wage of a woman = Rs. (x - 5).
Now, 600x + 400 (x - 5) = 25.50 * (600 + 400) <=> 1000x = 27500 <=> x = 27.50.
Man's daily wages = Rs. 27.50; Woman's daily wages = (x - 5) = Rs. 22.50.
Correct Answer: 665
Explanation:
Let the total score be x.
(x + 92 - 85) / 8 = 84.
So, x + 7 = 672 => x = 665.
Correct Answer: 21
Explanation:
Lot the total number of workers be v Then,
8OOOv = (12000 * 7) + 6000 (v - 7) <=> 2000v = 42000 <=> v = 21.
Correct Answer: 1032
Explanation:
The actual average salary of 12 officers = 400 therefore Total salary of 12 officers = 400 x 12 = 4800 Average of these 12 officers as a whole =60 Total salary of 12 officers as a whole = 60 x 12 = 720 The total salary of rest = 4800 - 720 = 4080 The difference in average of the rest of officers = 60 - 56 = 4 Rest of the officers = 4080/4=1020 Total number of employees = 1020 + 12 = 1032
Correct Answer: 64 degrees
Explanation:
Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 * 4) = 232 degrees ... (1)
Sum of temperatures on 2nd, 3rd, 4th and 5th days - (60 * 4) = 240 degrees ....(2)
Subtracting (1) From (2), we get :
Temp, on 5th day - Temp on 1st day = 8 degrees.
Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.
Then, 8x - 7x = 8 or x = 8.
Temperature on the 5th day = 8x = 64 degrees.
Correct Answer: 58
Correct Answer: 285
Explanation:
Since the month begins with a Sunday, so there will be five Sundays in the month,
Required average = (510 * 5 + 240 * 25) / 30 = 8550/30 = 285.
Correct Answer: 52.66 kgs
Explanation:
Given total number of passengers in the bus = 45
First average weight of 45 passengers = 52 kgs
Average weight of 5 passengers who leave bus = 48
Average weight of 5 passengers who joined the bus = 54
Therefore, the net average weight of the bus is given by
Correct Answer: 7.98
Correct Answer: Rs. 1536.07
Explanation:
Let average expenditure was Rs. R
13 x 79 + 6x(R + 4) = 19R
=> R = Rs. 80.84
Total money = 19 x 80.84 = Rs. 1536.07.
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