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Frequently Asked AIEEE Latest Exam Pattern - AIEEE Sample Question with Solutions Page 24

(#M40027598) AIEEE QUESTION Mental Ability Keep an EYE

If sin 3α = 4 sin α sin (x + α) sin (x – α) then
864 sin2
x + 3620 cos2
x is equal to -
(A) 1550 (B) 1650
(C) 1553 (D) 1653

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(#M40027597) AIEEE QUESTION Mental Ability Keep an EYE

If U is a universal set and A and B are its two
subsets such that n(U) = 700 and n(A) = 300,
n(B) = 200, n (A ∩ B) = 100 then n(AC
∩ BC
) =
(A) 100 (B) 300
(C) 400 (D) 600

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(#M40027594) AIEEE QUESTION Mental Ability Keep an EYE

n the expansion of ( 4 9 +6 8 )
500 the number of
terms which are integral is -
(A) 250 (B) 43
(C) 251 (D) 44

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(#M40027592) AIEEE QUESTION Mental Ability Keep an EYE

If F1 = (3, 0) and F2 = (–3, 0) and P is any point
on the curve 16x^2
+ 25y^2
= 400 then PF1 + PF2
equals -
(A) 8 (B) 6 (C) 10 (D) 12

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(#M40027590) AIEEE QUESTION Mental Ability Keep an EYE

If x = α, β satisfies both the equation
cos^2
x + a cosx + b = 0 and sin^2
x + p sinx + q = 0
then the relation between a, b, p and q is

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(#M40027588) AIEEE QUESTION Mental Ability Keep an EYE

The equation of the circle of radius sqrt(2) whose
centre lies on the line x – y = 0 and which
touches the line x + y = 4 and whose centre's
coordinates satisfy the inequality x + y > 4 is -
(A) x2
+ y2
– 8x – 8y + 24 = 0
(B) x2
+ y2
= 8
(C) x2
+ y2
– 8x + 8y = 24
(D) none of these

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(#M40027587) AIEEE QUESTION Mental Ability Keep an EYE

On the portion of the straight line x + y = 3 which
is intercepted between the axes, a square is
constructed, away from the origin, with this
portion as one of its side. If p denotes the
perpendicular distance of a side of this square
from the origin, then the maximum value of p
is

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(#M40027584) AIEEE QUESTION Mental Ability Keep an EYE

In which of the following molecules N-atom
adopts sp-hybrid state-
(A) CH3NH2 (B) NH2 – NH2
(C) HCN (D) NH3

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(#M40027580) AIEEE QUESTION Mental Ability Keep an EYE

Which of the following is paramagnetic?
(A) N2 (B) C2 (C) N2
+ (D) 2– O2

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(#M40027572) AIEEE QUESTION Mental Ability Keep an EYE

Electronic configuration
1s2 2s2 3s2 3p6 4s1 represents
(A) Ground state
(B) Excited state
(C) Anionic state
(D) Cationic state

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