**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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