**Q.1)** If (x^2/yz) + (y^2/zx) + (z^2/xy) = 3, then what is the value of (x + y + z)^3?

1) 0

2) 1

3) 2

4) 3

**Q.2)** If x^1/4 + x^-1/4 = 2, then what is the value of x^81 + (1/x^81) ?

1) – 2

2) 0

3) 1

4) 2

**Q.3)** If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a^2 + b^2 + c^2)?

1) 75

2) 83

3) 21 7

4) 225

**Q.4)** If x^2 + (1/x^2) = 1, then what is the value of x^48 + x^42 + x^36 + x^30 + x^24 + x^18 + x^12 + x^6 + 1?

1) – 9

2) 0

3) 1

4) 9

**Q.5)** What is the simplified value of sin^2 (90 – θ) – [{sin(90 – θ)sin θ}/tan θ]?

1) 1

2) cosec θ

3) 0

4) cos θ

**Q.6)**Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

1) 5/113

2) 7/120

3) 13/14 5

4) 17/160

**Q.7)**Nirmit can do 2/3 of a job in 18 days. Kashish is twice as efficient as Nirmit. In how many days Kashish will complete the job?

1) 29/4

2) 27/2

3) 31/2

4) 13/2

**Q.8)**40 men took a dip in a pool 30 m long and 25 m broad. If the average water displaced by a man is 5 m3, then what will be the rise (in cm) in level of the pool?

1) 25

2) 26.66

3) 27.33

4) 28

**Q.9)**By selling a article for

**₹**3800 a man gets 24% loss. If he wants to gain a profit of 30%, then new selling price of article will be-

(1)

**₹**5200

2)

**₹**6500

3)

**₹**5000

4)

**₹**7800

**Q.10)**Two successive discounts of 56% and 14% are equal to the net discount of-

1) 63.85%

2) 62.46%

3) 62.16%

4) 61.16%