51. While
measuring the speed of sound by performing a resonance column experiment, a
student gets the
first resonance condition at a column length of 18 cm during winter. Repeating
the same experiment
during summer, she measures the column length to be x cm for the second
resonance. Then
(1) x > 54 (2) 54 > x > 36
(3) 36 > x > 18 (4) 18 > x Ans. [1]
76. Let a, b, c
be any real numbers. Suppose that there are real numbers x, y, z not all zero
such that
x = cy + bz, y = az + cx, and z = bx + ay. Then a2 + b2 + c2 + 2abc is equal to
(1) –1 (2) 0
(3) 1 (4) 2 Ans. [3]
According to a release, boys aged between 10 and 11 years as on July 1, 2009,
are eligible for admission to Class VI. For Class IX, they have to be between 13
and 14 years of age as on July 1,2009, and should be studying in Class VIII in a
recognised school.
Indian Institute of Technology is a collective name for a group of colleges.
There is no doubt on the fact that IITs are the most esteemed colleges in the
country and they are also recognized abroad. IITs rank among the top 50 colleges
in the world. All these facts are enough to give you the hint of the level of
competition to get into IITs. The cutoffs largely depend upon the difficulty of
the questions and the admission into IITs is governed by the overall and
sectional cutoff factor.
However this year the level of questions was tougher and the cutoff is
expected to drop a bit, so don’t expect any drastic fall. Given below is the
cutoff of 2007 so that you can gauge your performance.