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Set A contains 10 consecutive numbers starting from x and set B contains 8 consecutive even numbers starting from y. The ratio of the average of set A elements to that of set B elements is 9 : 14. What is the ratio of x to y?
  • a)
    9 : 14
  • b)
    14 : 9
  • c)
    5 : 4
  • d)
    Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Set A contains 10 consecutive numbers starting from x and set B contai...
Average of set A elements = x + 4.5
Average of set B elements = y + 7
So,  = 9/14
⇒ 14x + 63 = 9y + 63
⇒ x/y = 9/14
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Community Answer
Set A contains 10 consecutive numbers starting from x and set B contai...
Let's assume that the first number in set A is x and the first number in set B is y.

Finding the average of set A:
Since set A contains 10 consecutive numbers starting from x, the sum of the numbers in set A can be found using the formula for the sum of an arithmetic series:
Sum = (Number of terms / 2) * (First term + Last term)
In this case, the sum of the numbers in set A is (10/2) * (x + (x+9)) = 5 * (2x + 9) = 10x + 45.

The average of set A can be found by dividing the sum by the number of terms:
Average of set A = (10x + 45) / 10 = x + 4.5.

Finding the average of set B:
Since set B contains 8 consecutive even numbers starting from y, the sum of the numbers in set B can be found using the formula for the sum of an arithmetic series:
Sum = (Number of terms / 2) * (First term + Last term)
In this case, the sum of the numbers in set B is (8/2) * (y + (y+14)) = 4 * (2y + 14) = 8y + 56.

The average of set B can be found by dividing the sum by the number of terms:
Average of set B = (8y + 56) / 8 = y + 7.

Ratio of the averages:
Given that the ratio of the average of set A elements to that of set B elements is 9:14, we can write the equation:
(x + 4.5) / (y + 7) = 9/14.

Cross-multiplying and simplifying the equation:
14(x + 4.5) = 9(y + 7)
14x + 63 = 9y + 63
14x = 9y
x/y = 9/14

Therefore, the ratio of x to y is 9:14. Hence, the correct answer is option A.
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Directions: Read the following information carefully and answer the question given below.A person has kept some sweets in 10 lockers for his 10 students, so that each of them chooses one. In each locker, there are some chocolates and some lollipops, where each lollipop costs Rs. 15 and each chocolate costs Rs. 25. Each locker is differently coloured i.e. yellow, blue, white, red, green, brown, pink, grey, orange and purple. Lockers are in two rows, one above another. The bottom row has lockers marked with numbers 1 to 5 (left to right) and the top row has lockers marked with numbers 6 to 10 (left to right). Locker number 1 is just below locker number 6 and in the same way, locker number 2 is just below locker number 7 and so on. Locker numbers 1 to 5 contain sweets worth Rs. 485 and locker numbers 6 to 10 contain sweets worth Rs. 570. There are neither less than 3 sweets nor more than 8 sweets in any locker. Locker number 9 is brown in colour. Locker number 5 has 4 lollipops and 4 chocolates. Locker of red colour is numbered 3 more than the locker of green colour and both are in the same row. Locker number 1 contains sweets worth Rs. 125. The red coloured locker has sweets worth Rs. 45 more than the green coloured locker. Only the purple coloured locker contains the maximum number of sweets. The pink coloured locker is just above the yellow coloured locker. Grey colour locker is numbered 3 more than the locker which is yellow in colour and both are in the same row. The locker number which is numbered 1 less than the orange coloured locker contains sweets worth Rs. 95. The blue coloured locker contains 2 lollipops. The white coloured locker contains 3 sweets. Sweets in the orange coloured locker are worth Rs. 5 less than the sweets in the pink coloured locker. The red and white coloured lockers contain the same number of lollipops. Sweets in the grey coloured locker are worth Rs. 10 less than the white coloured locker. Sweets in the pink and blue coloured lockers cost Rs. 190 altogether. The orange and brown coloured lockers contain equal number of chocolates. Locker number 2 has sweets worth Rs. 80.Q.How many chocolates are there in lockers 6 to 10 altogether?

Directions: Read the following information carefully and answer the question given below.A person has kept some sweets in 10 lockers for his 10 students, so that each of them chooses one. In each locker, there are some chocolates and some lollipops, where each lollipop costs Rs. 15 and each chocolate costs Rs. 25. Each locker is differently coloured i.e. yellow, blue, white, red, green, brown, pink, grey, orange and purple. Lockers are in two rows, one above another. The bottom row has lockers marked with numbers 1 to 5 (left to right) and the top row has lockers marked with numbers 6 to 10 (left to right). Locker number 1 is just below locker number 6 and in the same way, locker number 2 is just below locker number 7 and so on. Locker numbers 1 to 5 contain sweets worth Rs. 485 and locker numbers 6 to 10 contain sweets worth Rs. 570. There are neither less than 3 sweets nor more than 8 sweets in any locker. Locker number 9 is brown in colour. Locker number 5 has 4 lollipops and 4 chocolates. Locker of red colour is numbered 3 more than the locker of green colour and both are in the same row. Locker number 1 contains sweets worth Rs. 125. The red coloured locker has sweets worth Rs. 45 more than the green coloured locker. Only the purple coloured locker contains the maximum number of sweets. The pink coloured locker is just above the yellow coloured locker. Grey colour locker is numbered 3 more than the locker which is yellow in colour and both are in the same row. The locker number which is numbered 1 less than the orange coloured locker contains sweets worth Rs. 95. The blue coloured locker contains 2 lollipops. The white coloured locker contains 3 sweets. Sweets in the orange coloured locker are worth Rs. 5 less than the sweets in the pink coloured locker. The red and white coloured lockers contain the same number of lollipops. Sweets in the grey coloured locker are worth Rs. 10 less than the white coloured locker. Sweets in the pink and blue coloured lockers cost Rs. 190 altogether. The orange and brown coloured lockers contain equal number of chocolates. Locker number 2 has sweets worth Rs. 80.Q.Which of the following lockers is brown in colour?

Directions: Read the following information carefully and answer the question given below.A person has kept some sweets in 10 lockers for his 10 students, so that each of them chooses one. In each locker, there are some chocolates and some lollipops, where each lollipop costs Rs. 15 and each chocolate costs Rs. 25. Each locker is differently coloured i.e. yellow, blue, white, red, green, brown, pink, grey, orange and purple. Lockers are in two rows, one above another. The bottom row has lockers marked with numbers 1 to 5 (left to right) and the top row has lockers marked with numbers 6 to 10 (left to right). Locker number 1 is just below locker number 6 and in the same way, locker number 2 is just below locker number 7 and so on. Locker numbers 1 to 5 contain sweets worth Rs. 485 and locker numbers 6 to 10 contain sweets worth Rs. 570. There are neither less than 3 sweets nor more than 8 sweets in any locker. Locker number 9 is brown in colour. Locker number 5 has 4 lollipops and 4 chocolates. Locker of red colour is numbered 3 more than the locker of green colour and both are in the same row. Locker number 1 contains sweets worth Rs. 125. The red coloured locker has sweets worth Rs. 45 more than the green coloured locker. Only the purple coloured locker contains the maximum number of sweets. The pink coloured locker is just above the yellow coloured locker. Grey colour locker is numbered 3 more than the locker which is yellow in colour and both are in the same row. The locker number which is numbered 1 less than the orange coloured locker contains sweets worth Rs. 95. The blue coloured locker contains 2 lollipops. The white coloured locker contains 3 sweets. Sweets in the orange coloured locker are worth Rs. 5 less than the sweets in the pink coloured locker. The red and white coloured lockers contain the same number of lollipops. Sweets in the grey coloured locker are worth Rs. 10 less than the white coloured locker. Sweets in the pink and blue coloured lockers cost Rs. 190 altogether. The orange and brown coloured lockers contain equal number of chocolates. Locker number 2 has sweets worth Rs. 80.Q.How many lockers contain more than 5 sweets?

Directions: Read the following information carefully and answer the question given below.A person has kept some sweets in 10 lockers for his 10 students, so that each of them chooses one. In each locker, there are some chocolates and some lollipops, where each lollipop costs Rs. 15 and each chocolate costs Rs. 25. Each locker is differently coloured i.e. yellow, blue, white, red, green, brown, pink, grey, orange and purple. Lockers are in two rows, one above another. The bottom row has lockers marked with numbers 1 to 5 (left to right) and the top row has lockers marked with numbers 6 to 10 (left to right). Locker number 1 is just below locker number 6 and in the same way, locker number 2 is just below locker number 7 and so on. Locker numbers 1 to 5 contain sweets worth Rs. 485 and locker numbers 6 to 10 contain sweets worth Rs. 570. There are neither less than 3 sweets nor more than 8 sweets in any locker. Locker number 9 is brown in colour. Locker number 5 has 4 lollipops and 4 chocolates. Locker of red colour is numbered 3 more than the locker of green colour and both are in the same row. Locker number 1 contains sweets worth Rs. 125. The red coloured locker has sweets worth Rs. 45 more than the green coloured locker. Only the purple coloured locker contains the maximum number of sweets. The pink coloured locker is just above the yellow coloured locker. Grey colour locker is numbered 3 more than the locker which is yellow in colour and both are in the same row. The locker number which is numbered 1 less than the orange coloured locker contains sweets worth Rs. 95. The blue coloured locker contains 2 lollipops. The white coloured locker contains 3 sweets. Sweets in the orange coloured locker are worth Rs. 5 less than the sweets in the pink coloured locker. The red and white coloured lockers contain the same number of lollipops. Sweets in the grey coloured locker are worth Rs. 10 less than the white coloured locker. Sweets in the pink and blue coloured lockers cost Rs. 190 altogether. The orange and brown coloured lockers contain equal number of chocolates. Locker number 2 has sweets worth Rs. 80.Q.How many sweets are there in locker number 7?

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Set A contains 10 consecutive numbers starting from x and set B contains 8 consecutive even numbers starting from y. The ratio of the average of set A elements to that of set B elements is 9 : 14. What is the ratio of x to y?a)9 : 14b)14 : 9c)5 : 4d)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
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