1. (17)3.5 x (17)? = 178 A. 2.29 B. 2.75 C. 4.25 D. 4.5 Answer & Solution Discuss in Board Save for Later Answer & Solution Answer: Option D Solution: Let (17)3.5 x (17)x = 178. Then, (17)3.5 + x = 178. ∴ 3.5 + x = 8 ⇒ x = (8 - 3.5) ⇒ x = 4.5
2. A. 1/2 B. 1 C. 2 D. 7/2 Answer & Solution Discuss in Board Save for Later Answer & Solution Answer: Option C Solution:
3. Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to: A. 1.45 B. 1.88 C. 2.9 D. 3.7 Answer & Solution Discuss in Board Save for Later Answer & Solution Answer: Option C Solution:
4. If 5a = 3125, then the value of 5(a - 3) is: A. 25 B. 125 C. 625 D. 1625 Answer & Solution Discuss in Board Save for Later Answer & Solution Answer: Option A Solution: 5a = 3125 ⇔ 5a = 55 ⇒ a = 5. ∴ 5(a - 3) = 5(5 - 3) = 52 = 25.
5. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to: A. 0 B. 2 C. 4 D. 6 Answer & Solution Discuss in Board Save for Later Answer & Solution Answer: Option C Solution: 3x - y = 27 = 33 ⇔ x - y = 3 ....(i) 3x + y = 243 = 35 ⇔ x + y = 5 ....(ii) On solving (i) and (ii), we get x = 4.
