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all-india-engineering-entrance-exam
Test taken by: 14
1. The equation esinx – e–sinx – 4 = 0 has :
A infinite number of real roots.
B no real roots
C exactly one real root
D exactly four real roots
2. Let aˆ and bbe two unit vectors. If the vectros  AIEEE _2012_question_paper I_with_answer_on_testveda_test_veda_q2  are perpendicular to each other, then the angle between aˆ and bˆ is:
A π/(6)
B π/(2)
C π/(3)
D π/(4)
3. A spherical balloon is filled with 4500 π cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72 π cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began is:
A 9/(7)
B 7/(9)
C 2/(9)
D 9/(2)
4.

Statement 1: The sum of the series
1+(1+2+4)+(4+6+9)+(9+12+16)+(361+380+400) is 8000.
Statement 2:AIEEE _2012_question_paper I_with_answer_on_testveda_test_veda_q4 for any natural number n.

A Statement 1 is false, Statement 2 is true.
B Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1.
C Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.
D Statement 1 is true , Statement 2 is false.
5. The negation of the statement
“If I become a teacher, then I will open a school”, is:
A I will become a teacher and I will not open a school.
B Either I will not become a teacher or I will not open a school.
C Neither I will become a teacher nor I will open a school.
D I will not become a teacher or I will open a school

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