Quant Boosters - Gaurav Sharma - Set 4
Q24) Find the smallest prime that is the fifth term of an increasing arithmetic sequence, all four preceding terms also being prime.
Q25) A farmer has 88 m of barbed wire fencing. With this he encloses a field of area X sq. m. What can be said about the maximum possible value of X?
Q26) If a, b, c, d, e and f are non negative real numbers such that a + b + c + d + e + f = 1, then the maximum value of (ab + bc + cd + de + ef) is
Q27) How many 4 digit numbers can be formed using only 3 and 9, which is a multiple of 9
Q28) There are k candidates (where k is an odd number) for the Bookie Prize. The rules of the Bookie Prize say that at least 1 but not more than 50% of the candidates must be awarded a prize. If the number of possible ways of selecting the awardees is 63, find k.
Q29) A bus travels at a speed of 50 km/hr if it does not carry any passenger. Its speed decreases by a quantity directly proportional to the square of the number of passengers. If the bus carries 10 passengers, its speed is 45 km/hr. What will be its speed (in km/hr) if it carries 20 passengers?
Q30) Find the sum of all positive integral values of n such that 1001 + n^2 is a perfect square
how gap of 1 ?