Question
If the median and mode of some observations is 5 and 9,
respectively, then find the mean of those observations.Solution
We know that; Mode = 3 × Median – 2 × Mean ATQ; 9 = 3 × 5 – 2 × (Mean) So, Mean = 3
If the numerator of a fraction is increased by 10% and the denominator is reduced by 20%, the resulting fraction is 11/6. What was the original fraction?
A = (5/2) × B and C = (1/10) × A. If (A + B + C) = 255, then determine the value of (7C – B).
- When a number is divided by 31, the remainder is 28. Find the remainder when twice the number is divided by 31.
A shepherd owns two types of cattle: cows and sheep. After selling 40% of his cattle, he is left with a total of 90 cows and sheep. How many cattle did ...
- A number is 2/5 more than 33 times its reciprocal. What is the number?
Aman is forming pairs of two natural numbers, A and B, such that their product equals 350. He wants to determine how many such pairs exist where A and B...
- A number 'x' is first multiplied by 11, and the result is subtracted from its square. After adding 24 to the resulting value, the final outcome is zero. Gi...
Find the sum of all the numbers between 3000 and 14000, which are divisible by 25, 30 and 40.
- What is the least perfect square divisible by 15, 18, 25 and 30? Also, find the remainder when this number is divided by 77.
Find the sum of the first 40 natural numbers.
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