TOLC-I English Model Question Paper PDF

TOLC-I English Model Question Paper Mathematics Section (20 Questions) 1. For the function g(x) = 3x^2 - 5x + 7, what is the minimum value of g(x) for real values of x? A) -25/12 B) 14/3 C) 7 D) -5/2 E) 7/2 2. A rectangle has a perimeter of 60 units. If the length is 5 units longer than twic...

TOLC-I English Model Question Paper Mathematics Section (20 Questions) 1. For the function g(x) = 3x^2 - 5x + 7, what is the minimum value of g(x) for real values of x? A) -25/12 B) 14/3 C) 7 D) -5/2 E) 7/2 2. A rectangle has a perimeter of 60 units. If the length is 5 units longer than twice the width, what is the are A) 150 B) 160 C) 175 D) 180 E) 200 3. If x + y + z = 10 and x^2 + y^2 + z^2 = 50, find xy + yz + zx. A) 10 B) 25 C) 15 D) 0 E) 20 4. Solve for x: 4^{x+1} = 2^{3x-1}. A) 1 B) 2 C) 3 D) 4 E) 5 5. Find the sum of the infinite geometric series with first term 8 and common ratio 1/3. A) 8 B) 10 C) 12  D) 14 E) 15 Logical Reasoning Section (10 Questions) 1. In a row of five people A, B, C, D, and E, C is to the right of A but left of D. B is to the right of E and to the A) A, C, D, E, B B) E, B, A, C, D C) E Reading Comprehension Section (5 Questions) 1. Read the following passage and answer the questions below: 2. Passage: [A longer, more complex passage related to a scientific or philosophical topic] Basic Science Section (15 Questions) 1. What is the chemical formula for photosynthesis? A) C6H12O6 + O2 -> CO2 + H2O B) CO2 + H2O -> C6H12O6 + O2 C) H2O + CO2 -> H2O2 + C D) O2 + C -> CO E) None of the above