Quant Boosters  Gaurav Sharma  Set 4

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q20) Ashu and Manoj start running simultaneously from the ends A and B respectively, of a straight track of length 800 m, with speeds that are in the ratio 5 : 3. Whenever Ashu reaches either of the ends, he turns around and continues running at the same speed. Whenever Manoj meets Ashu, he turns around and continues running at the same speed. When Ashu comes back at A for the first time, how far (in meters) is Manoj from B?
a) 360
b) 435
c) 510
d) None of these

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q21) The sum of thirtytwo consecutive natural numbers is a perfect square.What is the least possible sum of the smallest and largest of thirty two numbers?

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
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' ?

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q23) A packet of toffees is distributed in a class. A child who receives oneeighth 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

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q24) Find the smallest prime that is the fifth term of an increasing arithmetic sequence, all four preceding terms also being prime.

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
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

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
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

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
Q27) How many 4 digit numbers can be formed using only 3 and 9, which is a multiple of 9

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
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.

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
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?

gaurav_sharma last edited by
Director, Genius Tutorials, Karnal ( Haryana ) & Delhi  MSc (Mathematics)
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

how gap of 1 ?

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

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

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