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The length of candle B is 3 times the length of candle A. The speed of burning of Candle B is 4 times the speed of burning of Candle A. A party begins with the lighting of these two candles. The party ends when the heights of these candles become equal. If the numerical value of length (in metre) of the burnt away portion of Candle A and the speed (in metre per hour) of its burning are same, how long, in hours, did the party continue ?

Five prime numbers are arranged in ascending order. The ratio of the product of the first three of them to that of the last three of them is 35 : 323. What is the difference between the smallest and the largest numbers?

In a movie hall, there are three categories of seats: Diamond, Gold and Silver. On a weekday, the prices per ticket in these categories are ₹500, ₹300 and ₹200, respectively. But on weekends, the prices are raised to ₹800, ₹500 and ₹300, respectively. There are exactly 10 Diamond seats and the number of Silver seats is double the number of Gold seats. If the hall goes house full in all the shows, which of the following is the excess earning made per show on a weekend ?

How many digits are there in 6^25? (It is given that log10 2 = 0.3010 and log10 3 = 0.4771)

In a business, A, B and C had invested in the ratio of 2 : 3 : 5, but they all earned the same amount of profit at the end. If the profit is proportional to the amount as well as the duration of the investment, what will be the ratio of duration of their investments?

If five persons take five hours to paint five walls of equal area, how many hours will 7 persons take to paint 7 walls of equal area, provided both the sets of walls are identical ?

A train starts from station A at 9 AM and reaches station B at 2 PM. Another train starts from station B at 11 AM and reaches station A at 3 PM. On their way, they meet at a point P. The distances from station A to P and from station B to P bear the ratio:

If x percent of a is same as y percent of b, then what percent of a is z percent of b ?

Three distinct positive integers a, b and c are such that b − a = c − b and a + b + c = 12. What is the maximum number of such possible sets (a, b, c)?

How many three-digit numbers are there that have the middle digit as the sum of the first digit and the third digit ?

36. PQ and RS are chords on a circle centred at 0. Suppose A is the point of intersection of PQ and RS. Which of the following statements is/are correct?

Select the correct answer using the code given below.

37. P, Q, R, Sand Tare five friends. The mean of weights of P, Q, R and Sis 50 kg, whereas the mean of weights of Q, R, S and T is also 50 kg. Which of the following statements is/are correct?

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39. The angles of elevation of the top of a tower from the top and bottom of a 10 metres tall building are 30° and 45° respectively. Approximately what is the height of the tower in metres from the top of the building (given that ../3 = 1· 73)?

72.

73. What is the length of the ra_dius of the circle that passes through the points (0, 0), (0, 3) and (2, 0)?

102. Container X contains a mixture of oil and water in the ratio 1: 3, whereas container Y contains a mixture of oil and water in the ratio 2 : 3. If 2 litres of liquid from container X and 5 litres of liquid from container Y are mixed together in container Z that initially contains 1 litre of pure oil, then what is the percentage of oil in container Z ?

103. A solid circular metallic disc of radius 12 inches and thickness 4 inches is melted and shaped into a solid disc of radius 16 inches. What is the thickness of the new disc in inches?

39.

eight smaller cubes, each with same side. Which one of the following statements is correct in this context ?