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To find the digit in the unit’s place of (1624)24, we only need to consider the units digit of the base, 1624, and then find the pattern in the units digits of its powers. Units digit of 1624: The units digit of 1624 is 4. Find the units digit of 424: First, observe the pattern in the units’ digits of the powers of 4: (41 = 4) (units digit = 4) (42 = 16) (units digit = 6) (43 = 64) (units digit = 4) (44 = 256) (units digit = 6) The pattern repeats every two powers: 4, 6, 4, 6... Since (24) is even, the units digit of (424) follows the same pattern: (424) corresponds to 42 in the pattern. Unit Digit =6
If (a + b) = 1 and (1/a) – 2b = 5/a then find the value of a2 + b2.
A shopkeeper marked his article 25% above its cost price and offered a discount of 30%. If cost price of the article is Rs. 560, then find profit or los...
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if a2 + b2 + c2 = 2(4a -5b -9c)-122 , then a-b-c = ?
The curved surface area of a cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm³) of the cylinder? (Use π =...
If 4x + 1/3x = 12 then find the value of 9x2 +1/16x2.
1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?
? + (35)² = (130)² - (45)² - 2850
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9
If 4x² + y² = 40 and x y = 6, then find the value
of 2x + y?
