Identify the correct mathematical statements: Choose the correct answer from…
2026
Identify the correct mathematical statements:
Choose the correct answer from the options given below:
- A.
A and B only
- B.
A, C and D only
- C.
C and D only
- D.
C, E and D only
Attempted by 2 students.
Show answer & explanation
Correct answer: B
We verify each statement to determine which are correct:
A. Calculate the sum: 1/4 + 1/(4×5) + 1/(4×5×6) = 30/120 + 6/120 + 1/120 = 37/120. This statement is correct.
B. Evaluate using order of operations: 1 + 2 ÷ {1 + 2 ÷ (4/3)} = 1 + 2 ÷ {1 + 3/2} = 1 + 2 ÷ (5/2) = 1 + 4/5 = 9/5. Since 9/5 ≠ 4/5, this statement is incorrect.
C. Sum of 6 numbers = 6 × 7 = 42. Sum of 3 numbers = 3 × 5 = 15. Remaining sum = 42 - 15 = 27. Average of remaining 3 numbers = 27 / 3 = 9. This statement is correct.
D. Let the number be x. Equation: 0.75x + 75 = x → 0.25x = 75 → x = 300. This statement is correct.
E. Comparing fractions: 9/31 ≈ 0.29, 6/23 ≈ 0.26, 3/17 ≈ 0.18, 4/11 ≈ 0.36. The largest is 4/11, not 9/31. This statement is incorrect.
Thus, statements A, C, and D are correct.