Step 1: Test which words can even pair with "the numbers."
A completion question like this often gets solved fastest by checking which verbs naturally take the noun right after the blank. "Exaggerates the numbers" and "diminishes the numbers" both work grammatically as direct verb plus object. "Excels the numbers" is wrong because excel needs "at" or "in." "Aggravates the numbers" is odd because aggravate is used for problems, not figures. This already narrows the first blank to (A) or (D).
Step 2: Use the clue sentence to choose between the two.
"False claims are not going to help" tells us the manager is criticizing a habit of overstating things, not understating them. "Exaggerates" fits an overstated, false claim. "Diminishes" would mean understating the numbers, which does not match "false claims" at all. So the first blank must be "exaggerates."
Step 3: Test the second blank the same way, by meaning.
"Honesty _____ trust" needs a word meaning "produces" or "leads to." "Engenders" fits exactly, since it means to bring something into being. "Encourages" also sounds positive, but it belongs to option (B), which already failed the first blank. "Alleviates" (ease a problem) and "eliminates" (remove) both work against the idea that honesty builds trust, so they are wrong.
Step 4: Combine both results.
The first blank must be "exaggerates" and the second must be "engenders." Checking the four choices, this exact pair appears only in option (A).
Final Answer:
The sentence reads correctly as "He often exaggerates the numbers... Honesty engenders trust," confirming option (A).
\[ \boxed{\text{Option (A)}} \]