**Q.1)** If [7(5x/3 – 3/2)]/2 + 3/2 = 1/4, then what is the value of x?

1) 35/24

2) 24/35

3) -24/35

4) -35/24

**Q.2)** If a^3 + b^3 = 19 and ab = -6 , then what is the value of a + b?

1) 5

2) 7

3) 1

4) -5

**Q.3)** Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

1) 3/4

2) 4/3

3) 4/7

4) 7/4

**Q.4)** What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

1) 67

2) 45

3) -30

4) -48

**Q.5)** What is the reflection of the point (5, 2) in the line x = -3?

1) (-11 ,2 )

2) (-11 ,-2)

3) (11 ,-2)

4) (11 ,2)

**Q.6)** What are the co-ordinates of the centroid of a triangle, whose vertices are A(1, -5), B(4, 0) and C(-2, 2)?

1) (1 , -1)

2) (-1 , 1)

3) (2 , -2)

4) (-2 , 2)

**Q.7)** Slope of the line AB is -4/3. Co-ordinates of points A and B are (x, -5) and (-5, 3) respectively. What is the value of x?

1) -1

2) 2

3) -2

4) 1

**Q.8)** D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?

1) (4:45)

2) (45:4)

3) (8:45)

4) (45:8)

**Q.9)** What is the value of √2 Sec 45° – Tan 30°?

1) (2√3 – 1)/3

2) (√3 – 1)/√3

3) (2√3 – 1)/√3

4) (√3 – 1)/3

**Q.10)** ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/(√3)* Cosec C)?

1) 2/√3

2) 2/3

3) √2/ √3

4) √2/3