# Quant Boosters - Gaurav Sharma - Set 4

• Q21) The sum of thirty-two consecutive natural numbers is a perfect square.What is the least possible sum of the smallest and largest of thirty -two numbers?

• Q22) A sequence 'S' is formed from the set of first 'N' natural numbers by deleting all the perfect squares and all the perfect cubes. If the elements are arranged in an ascending order then, what is the 240th term of the sequence 'S' ?

• Q23) A packet of toffees is distributed in a class. A child who receives one-eighth of the total number of toffees gets five times the average number of toffees received by the remaining children in the class. What is the strength of the class?
a) 40
b) 36
c) 35
d) Cannot be determined

• 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?
a) 600
b) 550
c) 500
d) 450

• 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
a) 1/6
b) 1
c) 6
d) 1/4

• 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
a) 140
b) 548
c) 640
d) 671

• @gaurav_sharma

how gap of 1 ?

• @gaurav_sharma

7......................

• @gaurav_sharma
640......................

• @gaurav_sharma

5,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

61

62

61

63

55

1

63

61