Rahul J.

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Problem of the day 26.08.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
Five students Implex, Slam, Sanyo, dewan and nbangalorekar are wearing caps of Blue or Green color without knowing the color of his own cap. It is known that the students wearing the Blue cap always speaks the truth while the ones wearing Green always tell lies. If the students make the following st...
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Problem of the day 25.07.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
In 1896 lord Coin has decided to play a game. From the January 1 till December 31 every day he chooses among two match boxes an arbitrary one and placed a match from it to another box (if the chosen box was not empty). If the chosen box was empty then he placed a match from the other box to the cho...
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Problem Of the Day 26.07.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
If x² + y²= 1 and x, y are real numbers. Let p, q be the largest and smallest possible value of x + y respectively. Then compute pq a) 0                    b) 1/2         c) −1/2                          d) 2                       Â...
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Bonus Question 26.07.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
The perimeter of a right triangle is 60. The height to the hypotenuse is 12 what is the area? (A) 75 (B) 144 (C) 150 (D) 300 (E) none of these Tagged: cat, CAT 2009, Geometry, IIM, Online CAT, Problem of the week
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Problem of the day 27.07.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
Find the number of quadratic polynomials ax² + bx + c such that: a) a, b, c are distinct. b) a, b, c ε {1, 2, 3, …2008} c) x + 1 divides ax² + bx + c a) 2013018            b) 2013021            c) 2014024             d) 2018040       e) none of these ...
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Problem of the day 28.07.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
if a Tagged: Algebra, cat, CAT 2009, IIM, Mock Cat, Mock Quant, Number Theory, Online CAT, quant
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Bonus QUestion 28.07.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
Suppose K be the number of integers n such that (2^n+1)/n^2 is also an integer. Then K is a) 0               b) 1               c) 2              d) 3              e) none of these
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Problem of the Day 30.07.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
Find the sum of the digits of the least natural number N, such that the sum of the cubes of the four smallest distinct divisors of N is 2N? 1)  9                                2) 8                             3) 7            ...
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Problem of The day 06.08.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
1. Four digits of the number 29138576 are omitted so that the result is as large as possible. The largest omitted digit is (A) 9 (B) 8 (C) 7 (D) 6 (E) 5 Tagged: cat, CAT 2009, IIM, Number Theory, Online CAT
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Bonus Question 16.07.09

Rahul J. posted an article on - Dec 31, 1969, 7:00 pm
Find the number of solutions in distinct positive  integers of x^4+y^4=z^4 A) 0                 B) 1                  C) 2                         D) 3                E) More than 3 Tagged: Algebra, cat, CAT 2009, IIM, Moc...
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