Question
In the question given below, two sentences are given
with one blank each. From the given answer choices, choose the option which contains the word that fits in both sentences making them grammatically and contextually correct. 1. He planned to create the water company himself, and, somehow, use its income to establish a bank to ________ the Bank of New York. 2. To create his own claim to the throne of Jerusalem, Charles executed one _______ and purchased the rights to the city from another.Solution
First sentence - we need a base form verb to fit in the infinitive construction TO + VERB. RIVAL (provide competition to) will fit here as the sentence tells us how he planned to set up a bank to compete with the Bank of New York. Second sentence - we need a noun here to be modified by the adjective ONE. RIVAL (foe; competitor) will fit here, as the sentence tells us how Charles executed his enemy to claim the throne. Thus, (a) is the right answer. B and D will fit only in 1, while C and E will only fit in 2.
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 cot 14˚  ...If (sin A + cos A) = √3 cos (90° - A), then find the value of cot A.
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