Aop PDF
Aop PDF
Aop PDF
Section : 1 – Mathematics
1. If xn +1 is divisible by x + 1, then n must be
(a) any natural number (b) an odd natural number
(c) an even natural number (d) none of these
2. The ratio of speeds of A, B and C is 2 : 3 : 4. What is the ratio of the time taken by them to travel
from P to Q?
(a) 2 : 3 : 4 (b) 4 : 3 : 2 (c) 6 : 4 : 3 (d) cannot be determined
3. A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1
hour less for the same journey, the speed of the train is
(a) 45 km/hr (b) 35 km/hr (c) 40 km/hr (d) 32 km/hr
6. X is 3 times as fast as Y and is able to complete the work in 40 days less than Y. Find the time in
which they can complete the work together.
(a) 20 days (b) 24 days (c) 18 days (d) 15 days
(a) 1 : 2 (b) 22 : 21
(c) 1 : 1 (d) none of these
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8. If x 5 , find the value of x 2 2 .
x x
(a) 25 (b) –25 (c) 5 29 (d) 5 29
9. What least number must be added to 1056 so that the sum is completely divisible by 23?
(a) 2 (b) 3 (c) 18 (d) 21
Section : 2 – Science
11. A suitable unit for gravitational constant is
(a) kg m/s (b) N m-1s (c) N m2 kg–2 (d) N kg2 m2
12. A man standing between two cliffs hears the first echo of a sound after 2 sec and second echo 5 sec
after the initial sound. If the speed of sound is 330 m/s, the distance between the two cliffs is
(a) 1655 m (b) 2310 m (c) 825 m (d) 1155 m
14. If a car covers 2/5th of the total distance with v1 speed and 3/5th distance with v2 then average speed is
1 5v1v2 2v1v2 5v1v2
(a) v1v2 (b) (c) (d)
2 3v1 + 3v2 v1 +v2 3v1 + 2v2
17. At a place the speed of sound of frequency 300 Hz is 340m/s. At the same place the speed of 150 Hz
sound will be ___________
(a) 170m/s (b) 340m/s (c) 680m/s (d) 1360m/s
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18. Find total charge flown in half a minute, if current of 2 amperes is flowing in a wire.
(a) 1 coulomb (b) 120 coulomb (c) 60 coulomb (d) None of these
19. A person is standing in an elevator. In which situation he finds his weight less than actual when
(a) The elevator moves upward with constant acceleration
(b) The elevator moves downward with constant acceleration
(c) The elevator moves upward with uniform velocity
(d) The elevator moves downward with uniform velocity
25. The substances which have very low ignition temperature and can easily catch fire with a flame are
called
(a) inflammable substances (b) Flaming substance
(c) Fire proof substance (d) None of the above
26. When we heat water in a paper bowl over a candle, the paper does not catch fire because
(a) Paper is not inflamable
(b) Paper gets wet
(c) Due to water the ignition temperature of paper is not reached
(d) This is not possible
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27. Plastics which when moulded once, cannot be softened by heating. Such plastics are called
(a) Polythene (b) Thermoplastics (c) Polyester (d) Thermosetting plastics
30. If you melt 100 g of ice will you get the same mass of water?
(a)Yes (b) No (c) May be (d) Sometimes
31. Plants which possess true roots, stems & leaves are _________.
(a) Algae (b) Bryophytes (c) Phanerogams (d) both b and c
37. The plant tissues which causes increase in length of the plant _________.
(a) Xylem (b) Lateral meristem (c) Parenchyma (d) Apical meristem
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39. The type of plastid in plants involved in storage of non-photosynthetic pigments is_______.
(a) Chloroplast (b) Chromoplast (c) Leucoplast (d) Amyloplast
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