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Given, x = (726)245 – (437)458 + (333)335 Unit digit of 6n is always equal to 6 where ‘n’ is positive integer. Cyclicity of ‘7’ and ‘3’ is ‘4’ So, unit digit of (6)245 = 6 Unit digit of (437)458 = Unit digit of (7)458 = unit digit of 7(4 × 114 + 2) = unit digit of 72 = unit digit of 49 = 9 Unit digit of (333)335 = Unit digit of 3335 = unit digit of 7(4 × 83 + 3) = unit digit of 33 = unit digit of 27 = 7 Required answer = 6 – 9 + 7 = 4
In a triangle, the angles are in the ratio 1:2:6. Determine the difference between the smallest and the largest angle.
4, 5, 18, 95, 672, ?.
12, 26, 54, 96, 150, 222, 306
The following table shows the marks obtained by five students in three subjects:
If 'x' is a positive integer such that x + 1/x = 2, then find the value of (x3 + x2 − 2x – 6)/(4x4 + 2x2
The average height of a basketball team consisting of 18 players is 185 cm. If the height of the coach and the assistant coach is...
10, 9, 16, 45, 176, ?.
A jar initially contains 100 liters of alcohol. First, 25 liters of alcohol are stolen and replaced with water. Then, a second person takes 10 liters of...
A principal of ₹8000 is invested at a compound interest rate of 10% per annum. What will be the amount after 2 years?