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সঠিক উত্তর: গ) propitious.

• Auspicious:
English meaning: showing signs that something is likely to be successful in the future.
Bangla meaning: শুভ; অনুকূল; সুপ্রসন্ন; মাঙ্গলিক: an auspicious moment, শুভক্ষণ; শুভযোগ; শুভলগ্ন।

Options,

ক) Tenacious:
English meaning: holding tightly onto something, or keeping an opinion in a determined way.
Bangla meaning: শক্ত করে আঁকড়ে রাখে এমন; নাছোড়বান্দা; ধৈর্যশীল।

খ) Prolific:
English meaning: producing a great number or amount of something.
Bangla meaning: (আনুষ্ঠানিক) প্রচুর পরিমাণে উৎপাদনশীল; অতিপ্রজ।

গ) Propitious:
English meaning: likely to result in success, or showing signs of success.
Bangla meaning: অনুকূল; সুপ্রসন্ন; শুভ।

ঘ) Dubious:
English meaning: thought not to be completely true or not able to be trusted.
Bangla meaning: সন্দেহপূর্ণ; সন্দিগ্ধ।

অপশন বিবেচনা করে দেখা যায়, Auspicious এর সমার্থক শব্দ - propitious.

Source: Cambridge & Oxford Dictionary.