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Consider the first 100 natural numbers. How many of them are not divisible by any one of 2, 3, 5, 7 and 9?

If 4 <= x <= 8 and 2 <= y <= 7, then what is the ratio of maximum value of (x + y) to minimum value of (x - y)?

Let both p and k be prime numbers such that (p^2 + k) is also a prime number less than 30. What is the number of possible values of k?

There are n sets of numbers each having only three positive integers with LCM equal to 1001 and HCF equal to 1. What is the value of n?

Let PQR be a 3-digit number, PPT be a 3-digit number and PS be a 2-digit number, where P, Q, R, S, T are distinct non-zero digits. Further, PQR - PS = PPT. If Q = 3 and T < 6, then what is the number of possible values of (R, S)?

Consider the sequence AB_CC_A_BCCC_BBC_C that follows a certain pattern. Which one of the following completes the sequence?

Which one of the following statements best reflects the central idea conveyed by the passage?

With reference to the above passage, the following assumptions have been made: I. Higher education is a constantly evolving subject that needs to align towards new developments in all spheres of society. II. In our country, sufficient funds are not allocated for promoting higher education. Which of the above assumptions is/are valid?

Which one of the following statements best reflects the crux of the passage?

With reference to the above passage, the following assumptions have been made: I. The food manufacturing and processing industries in every country should align their objectives and processes in accordance with the changing needs of the societies. II. Wealthier societies tend to incur great loss of calories of food materials due to indirect utilization of their agricultural produce. Which of the above assumptions is/are valid?

What is the maximum value of n such that 7 343 385 1000 2401 * 77777 is divisible by 35^n?

What is X in the sequence 24, X, 12, 18, 36, 90?

P and Q walk along a circular track. They start at 5:00 a.m. from the same point in opposite directions. P walks at an average speed of 5 rounds per hour and Q walks at an average speed of 3 rounds per hour. How many times will they cross each other between 5:20 a.m. and 7:00 a.m.?

If P = +, Q = -, R = *, S = /, then insert the proper notations between the successive numbers in the equation 60_15_3_20_4 = 20:

A tram overtakes 2 persons X and Y walking at an average speed of 3 km/hr and 4 km/hr in the same direction and completely passes them in 8 seconds and 9 seconds respectively. What is the length of the tram?

If N^2 = 12345678987654321, then how many digits does the number N have?

Which one of the following statements best reflects the central idea conveyed by the passage?

With reference to the above passage, the following assumptions have been made: I. Supply-side investments in companies can result in low-carbon behaviour in people. II. People are not capable of adapting low-carbon behaviour without the involvement of Government and Companies. Which of the above assumptions is/are valid?

Which one of the following statements best reflects the most logical, rational and pragmatic message conveyed by the passage?

With reference to the above passage, the following assumptions have been made: I. Automobile factories are examples of the circular economy. II. Economic growth is compatible with circular use of mineral resources. Which of the above assumptions is/are valid?