Directions: Choose the correct sequence of prepositions that best completes the three given sentences.

1. His decision to compete __________ his colleagues did not go down well with his supervisor.

2. Keats was known for combining philosophy ______ descriptions of nature in his poetry.

3. Anyone in his place would not hesitate to lodge a complaint ____ the local magistrate.

(A) by

(B) in

(C) of

(D) since

(E) for

(F) with

Directions: Choose the word or pair of words that shows a similar relationship to the given pair.

debilitated : fitness :: __________ : __________

Directions: Understand the logic being used in the working of a machine as shown below and apply the same logic to the New Input to answer the question that follows.

The machine made a strange buzzing sound if the output was reached in one step, a beep if the output was reached in two steps, a jingle if the output was reached in three steps. Strangely, the machine made no noise if the output was reached in Step 4. For the input shown above, the machine made a long strange booting noise at the output stage.

Would the machine produce a sound at the end of the cycle? 

Directions: In the given question, the sentence has four underlined words or phrases. Identify the one underlined word or phrase that must be changed for the sentence to be correct. Mark (E) for no error. Sriram was equally talented as both a jazz performer as well as classical musician.

If x is a positive integer such that,  

then what is the value of x?