**Q.1)** If X + 1/X = 4 then find the value of X^6 +(1/X^6):

- 52
- 256
- 1026
- 2702

**Q.2)** If Y = (2-X)/(1+X) then find the value of:

1/(Y+1) +(2Y+1)/(Y^2-1)

- (1+X)(2-X)/(2X-1)
- (1-X)(2+X)/(X-1)
- (1+X)(2-X)/(1-2X)
- (1+X)(2-X)/(1-2X)

Q.3) In the triangle ABC, ∠BAC = 50° and the bisectors of ∠ABC and ∠ACB meets at P. What is the value (in degrees) of ∠BPC?

1) 100

2) 105

3) 115

4) 125

Q.4) Two circles of same radius intersect each other at P and Q. If the length of the common chord is 30 cm and distance between the centres of the two circles is 40 cm, then what is the radius (in cm) of the circles?

1) 25

2) 25 √2

3) 50

4) 50 √2

Q.5) In ΔPQR, ∠R = 54°, the perpendicular bisector of PQ at S meets QR at T. If ∠TPR = 46°, then what is the value (in degrees) of ∠PQR?

1) 25

2) 40

3) 50

4) 60

Q.6) If cos^2 θ – sin θ = ¼, then what is the value of sin θ?

1) –1

2) 1/2

3) 1

4) 3 /2

Q.7) What is the value of [12/(√5 + √3)] + [18/(√5 – √3)]?

1) 15(√5 – √3)

2) 3(5√5 + √3)

3) 15(√5 + √3)

4) 3(3√5 + √3)

Q.8) S, T and U can complete a work in 40, 48 and 60 days respectively. They received Rs 10800 to complete the work. They begin the work together but T left 2 days before the completion of the work and U left 5 days before the completion of the work. S has completed the remaining work alone. What is the share of S (in Rs) from total money?

1) 4000

2) 4320

3) 4500

4) 4860

Q.9) A farmer’s land is in the shape of a trapezium which has its parallel sides measuring 2.56 yards and 3.44 yards and the distance between the parallel sides in 1.44 yards. The cost of ploughing the land is Rs 1800 per square yard. What amount will (in Rs) have to be spent in order to plough the entire land?

1) 3672

2) 6732

3) 7776

4) 8214

Q.10) If after giving a discount of 18%, a book is sold for Rs 1599, then what will be the marked price (in Rs) of the book?

1) 1800

2) 1880

3) 1950

4) 2000