Sample Paper Of All India Aakash Test Series

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Choose the correct answer:
1. Which of the following fundamental forces has
shortest range?
(1) Gravitational force
(2) Weak nuclear force
(3) Electromagnetic force
(4) Strong nuclear force
2. Which of the following practical units of length has
largest magnitude?
(1) fermi (2) astronomical unit
(3) light year (4) parsec
3. A plate has a length (4 0.1) cm and breadth
(3 0.01) cm. Then the area of the plate is
(1) (12 0.3) cm2 (2) (12 0.11) cm2
(3) (12 0.1) cm2 (4) (12 0.2) cm2
4. If A = 4.321 cm and B = 2.1 cm then (A + B) is
equal to
(1) 6.421 cm (2) 6.42 cm
(3) 6.4 cm (4) 6 cm
5. A cube has a side of length 1.1 102 m. Its
volume should be written as
(1) 1.331 106 m3 (2) 1.33 106 m3
(3) 1.3 106 m3 (4) 1 106 m3
6. A cylindrical wire has a mass 0.6 0.006 g radius
0.4 0.004 mm and length 8 0.08 cm. The
maximum percentage error in its density is
(1) 4 (2) 3
(3) 5 (4) 6

Sample Paper Of All India Aakash Test Series







You are looking for the All India Aakash Test Series for AIEEE, here i am uploading a file from where you can download here are some mathematics questions:

A fruit basket contain 3 different fruits and has 5 of each type. The number of ways of selecting one or more
fruits is
(1) 35
(2) 53
(3) 45 – 1
(4) 63 – 1

If a > 0, and the equation |z – a2| – |z – 2a| = 3 represents a hyperbola, then a lies in
(1) (1, 3)
(2) (–∞, –1) ∪ (3, ∞)
(3) (–∞, 1) ∪ (3, ∞)
(4) (–∞, –3) ∪ (–1, ∞)

The product of the real roots of the equation |x|8/3 – 26|x|4/3 – 27 = 0 is
(1) –39/4
(2) –39/2
(3) –39
(4) –32/9

Using mathematical induction, the number an is defined by a0 = 1, an +1 = 3n2 + n + an (n ≥ 0) then an is
equal to
(1) n3 + n2 + 1
(2) n3 – n2 + 1
(3) n3 – n2
(4) n3 + n2

The number of six digit numbers that can be formed by using digits 1, 2, 3 and 4 only, such that exactly one
digit out of four digit is repeated
(1) 360
(2) 240
(3) 120
(4) 480

For all complex numbers z1, z2 satisfying |z1| = 25 and |z2 + 4 – 3i| = 5, the maximum value of
|z1 – z2| =
(1) 15
(2) 35
(3) 20
(4) 30

The number of real roots of the equation x2 – 6|x – 3| + 27 = 0 is
(1) 0
(2) 1
(3) 2
(4) 4

If n is a positive integer, then 52n + 2 – 24n – 25 is divisible by
(1) 574
(2) 575
(3) 675
(4) 576

The number of ways of distribution of 15 different objects among 3 persons, so that each may get at least
one is
(1) 315 – 215 – 3
(2) 315 – 3.215 + 3
(3) 315 – 215 + 3
(4) 315 – 3.215 – 3

Let p, q, r, s ∈ Q and g(x) = x2 + px + q = 0 and h(x) = x3 + rx + s = 0 have a common irrational root, then
(1) h(x) = (x – p) g(x)
(2) h(x) = (x – q) g(x)
(3) h(x) = (x – r) g(x)
(4) h(x) = (x – s) g(x)

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