5. If 3(x - y) = 27 and 3(x + y) = 243, then the value of x is:
a. 0
b. 2
c. 4
d. 6

Answer: C

Explanation:
3x - y = 27 = 33 x - y = 3 x - y = 3 x - y = 3 x - y = 3 x - (i),3x + y = 243 = 35 x + y = 5 x + y = 5 (ii),We get x = 4 after solving I and (ii).

6. What is the product of (256)0.16 and (256)0.09?
a. 4
b. 16
c. 64
d. 256.5

Answer: A

Explanation:
(256)0.16 multiplied by (256)0.09 equals (256)(0.16 + 0.09)= 0.25 (256)= (256)(25/100)= (1/4)(256)= (1/4)(44)= 4 to the fourth power= 4.

7. [(10)150 (10)146] is the value.
a. 1000
b. 10000
c. 100000
d. 10 to the power 6

Answer: B

Explanation:
(10 to the power 150/10 to the power 146 = 10to the power,150/10 to the power 146,150 - 146 = 10

8. What is the sum of 1 + 1 + 1?
1 + x(b - a) + x(b - a) + x(b - a) + x( (c - a)
1 + x(a - b) + x(a - b) + x(a - b) + x( (c - b)
1 + x(b - c) + x(a - b) + x(a - b) + x( (a - c)
a. 0
b. 1
c. xa - b - c
d. None of these

9. (125)1.5 x (25)7.5 = 5?
a. 8.5
b. 13
c. 16
d. 17.5

Answer: B

Explanation:
Let (25)7.5 x (5)2.5 (125)1.5 = 5x be the answer.As a result, (52)7.5 x (5)2.5/(53)1.5 = 5x.5x = 5(2 x 7.5) x 52.5/5(3 x 1.5),5x = 515 x 52.5/54.5,5(15 + 2.5 - 4.5) = 5x,513 = 5x,x equals 13.

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