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- Question
The average score of boys in an examination in a school is 81 and that of the girls is 83 and the average score of the school is 81.8. Then what will be ratio between the number of girls to the number of boys, in the examination?
Options- A. 3:2
- B. 2:3
- C. 4:3
- D. 3:4
- Correct Answer
- 2:3
ExplanationLet the number of boys = b
Let the number of girls = g
From the given data,
81b + 83g = 81.8(b + g)
81.8b - 81b = 83g - 81.8g
0.8b = 1.2g
b/g = 1.2/0.8 = 12/8 = 3/2
=> g : b = 2 : 3
Hence, ratio between the number of girls to the number of boys = 2 : 3.
- 1. A man covers a journey from Meerut to Delhi by a car at an average speed of 40 km/hr. He returns back by scooter with an average speed 24 km/hr. Find his average speed during the whole journey?
Options- A. 32 kmph
- B. 27 kmph
- C. 30 kmph
- D. 31 kmph Discuss
- 2. In an NGO the daily average wages of 20 illiterate employees is decreased from Rs.25 to Rs.10, thus the average salary of all the literate and illiterate employees is decreased Rs.10 per day. The No. of educated employees working in the NGO is :
Options- A. 15
- B. 20
- C. 10
- D. Data Insufficient Discuss
- 3. If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2+b2+c23 is :
Options- A. M
- B. 3 M^2
- C. 2 (M/3)
- D. M^2 Discuss
- 4. The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Options- A. 3.6
- B. 4.6
- C. 6.5
- D. 7.3 Discuss
- 5. If the average height of boys in a hall is 180 cm and that of girls is 150 cm. If the average height of the gathering is 165 cm, then find the number of girls present in the hall if the number of boys present in the hall are 78 ?
Options- A. 56
- B. 64
- C. 87
- D. 78 Discuss
- 6. A student's average marks in five subjects is 82. If the average marks of first two subject is 86.5 and the average marks of last two subjects is 84. Find the marks of third subject?
Options- A. 69
- B. 67
- C. 71
- D. 73 Discuss
- 7. A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?
Options- A. 34
- B. 36
- C. 35
- D. 37 Discuss
- 8. Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9?
Options- A. 2
- B. 1.5
- C. 1.25
- D. 2.5 Discuss
- 9. Ian has 14 boxes of paper and divides them evenly between 4 coworkers. How many whole boxes did each coworker get?
Options- A. 2
- B. 2.5
- C. 3
- D. 3.5 Discuss
- 10. The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what ia the pice of each of these two books ?
Options- A. 16,12
- B. 10,16
- C. 23,9
- D. 8,7 Discuss
Average problems
Search Results
Correct Answer: 30 kmph
Explanation:
Since equal distances are covered at 40 kmph and 24 kmph, we can apply the formula 2xy/(x+y) Average speed= (2×40×24)/(40+24) = 30 kmph
Correct Answer: 10
Explanation:
Total employees =
Hence number of educated employees = 30-20 = 10
Correct Answer: 3 M^2
Explanation:
We have : ( a + b + c) / 3 = M or (a + b + c) = 3M.
Now. .
Required mean = .
Correct Answer: 4.6
Explanation:
Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.
Required average = (9.2 / 2) = 4.6.
Correct Answer: 78
Explanation:
Using Trial and error method,
we get the number of girls in the hall = 78
Correct Answer: 69
Explanation:
The total marks of all 5 subjects = 82 x 5 = 410
Total marks of 1st two subjects = 86.5 x 2 = 173
Total marks of last two subjects = 84 x 2 = 168
Now, marks in 3rd subject = 410 - (173 + 168) = 410 - 341 = 69.
Correct Answer: 37
Explanation:
16x + 85 = 17(x + 3)
x = 34 + 3 = 37
Correct Answer: 1.5
Explanation:
Given Five boxes of bananas sell for Rs. 30.
=> 1 Box of Bananas for = 30/5 = Rs. 6
Then, for Rs. 9
=> 9/6 = 3/2 = 1.5
Hence, for Rs. 9, 1.5 box of bananas can buy.
Correct Answer: 3
Explanation:
Given number of boxes = 14
Number of workers = 4
Now, number of whole boxes per worker = 14/4 = 3.5
Hence, number of whole boxes per each coworker = 3
Correct Answer: 10,16
Explanation:
Total pice of the two books = Rs. [(12 x 10) - (11.75 x 8)]
= Rs. (120 - 94) = Rs. 26.
let the price of one book be Rs. x
Then, the price of other book = Rs. (x + 60% of x) = Rs.(x+(3/5)x) = Rs. (8/5)x
So, x+(8/5)x =26 <=> x =10
The prices of the two books are Rs. 10 and Rs. 16
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