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In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. `(sqrt(2) = 1.4142)`
| x | 6 | 2 | 10 | 4 | 8 |
| y | 9 | 11 | ? | 8 | 7 |
Estimate missing observation.
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Find 77% of 580 + 34% of 390.
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240 candidates appeared for an examination, of which 204 passed. What is the pass percentage?
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What percent of 8.4 kg are 168 grams?
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If the length of a rectangle is decreased by 20%, what should be the increase in the breadth of the rectangle so that the area remains the same?
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The price of rice increased by 20%, as a result, a person can have 5 kg of rice for ₹ 600. What was the initial price of rice per kg?
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What percent is 3% of 5%?
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After availing two successive discounts of 20% each, Madhavi paid Rs 64 for a book. If she would have got only one discount of 20%, how much additional amount would she have paid?
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The price of the table is 40% more than the price of a chair. By what percent price of a chair is less than the price of a table?
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A batsman scored 92 runs which included 4 boundaries 5 sixes. He scored other runs buy running between the wickets. What percent of his total score did he make by running between the wickets?
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Rose got 30% of the maximum marks in an examination and failed by 10 marks. However, Lily who appeared for the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?
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By selling 300 lunch boxes, a shopkeeper gains the selling price of 100 lunch boxes. Find his gain percentage.
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Evaluate the limit of the function if exist at x = 1 where, f(x) = `{(7 - 4x, x < 1),(x^2 + 2, x ≥ 1):}`
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Show that `(-1 + sqrt3i)^3` is a real number.
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Evaluate the following:
`i^35`
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A Signal is generated from 2 flags by putting one flag above the other. If 4 flags of different colours are available, how many different signals can be generated?
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How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?
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How many two-letter words can be formed using letters from the word SPACE, when repetition of letters is not allowed?
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How many numbers between 100 and 1000 have 4 in the units place?
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How many numbers between 100 and 1000 have the digit 7 exactly once?
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