Problem 1 :
Find the value of k, if x – 1 is a factor of
4x^{3} + 3x^{2} – 4x + k
Problem 2 :
What is the value of the expression given below?
³√4 x
³√16
Problem 3 :
Find the area of the quadrilateral whose diagonal measures the length of 50 m and the perpendicular distance measures 10 m and 20 m respectively.
Problem 4 :
Cost of leveling a land is $12 per square meter. A land is in the form of a trapezium whose parallel sides are of lengths 18m and 12 m. If its other two sides are each of length 5m, find the total cost incurred in leveling the land.
Problem 5 :
The perimeter of a rhombus is 20 cm. One of the diagonals is of length 8 cm. Find the length of the other diagonal and the area of the rhombus.
Problem 6 :
Evaluate the following log ₂
64 + log ₂
4
Problem 7 :
Two sets are called ____________ if they have same elements.
Problem 8 :
Find the perimeter of the sector whose area is 924 sq.cm and the central angle is 240.
Problem 9 :
Factorize 3x²
- 18xy
Problem 10 :
Solve
3(x+4) + 2 (y-3) = 17
and
7(x-3) - 3 (y+4) = 8
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