Question
The average of series 'S2', which consists of 6 consecutive
even numbers, is 29. The second term of series 'T2', which consists of 5 consecutive odd numbers, is 5 more than the first term of series 'S2'. Find the average of series 'T2'.Solution
Let six consecutive even numbers be 'a', (a + 2), (a + 4), (a + 6), (a + 8) and (a + 10), respectively.
ATQ,
a + a + 2 + a + 4 + a + 6 + a + 8 + a + 10 = 29 X 6
Or, 6a = 174 - 30
So, 'a' = (144 / 6) = 24
So, 2nd term of series 'T2' = 24 + 5 = 29
So, series 'T2' = 27, 29, 31, 33, 35
Therefore, required average = (27 + 29 + 31 + 33 + 35) ÷ 5 = 31
A trapezoid has bases of lengths 10 cm and 20 cm and an area of 180 cm². Find the height of the trapezoid.
If the perimeter of a square measures 92 cm, what is the area of the square?
The distance between (4, –1) and (–8, y) is 13. Find possible values of y.
A trader bought two articles for ₹2,000 and ₹3,000. He sold the first article at a profit of 20% and the second article at a loss of 10%. What is th...
How many chairs must be sold for Rs. 25,600 to achieve a 25% profit, given that 50 chairs were originally purchased for the same amount?
The average selling price of mangoes is Rs. 8 (per kg) more than the average selling price of the oranges. The quantity of oranges sold is 25% more than...
The ratio of cost price to the marked price of an article is 5:8. The article had been marked above its cost price by Rs. 900. If the article was sold a...
If (3/7) of 'x' is greater than (2/11) of 'x' by 38, then determine the value of 'x'.
Compute P(A∩B), if P(B) = 0.8 and P(AǀB) = 0.35
A trader marks the price of a product at ₹800 and allows a discount of 15%. If the trader also pays a tax of 5% on the discounted price, what is the t...
Relevant for Exams:
