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Q.1 There is a parabola having axis as x-axis, vertex is at a distance of 2 units from origin and focus is at (4, 0) which of the point does not lie on the parabola.

Q.2

Q.3 If slant height of a right circular cone is 3 cm then the maximum value of cone is -

Q.4 If px + qy + r = 0 represent family of straight lines such that 3p + 2q + 4r = 0 then

Q.5

Q.6

(1) 100

(2) 200

(3) 300

(4) 400

Q.7

Q.8 Sum of all two digit numbers divisible by 7 leaves remainder 2 or 5 is

(1) 1300

(2) 1345

(3) 1465

(4) 1356

Q.9 If P : (n2 + 41 – n) is a prime number. Then which of the following is true

(1) P(3) is even

(2) P(5) is even

(3) P(3) and P(5) both are even

(4) None

Q.10

Q.11 Mean of five observations is 5, out of three are 1, 3, 8. Variance of them is 9.20. Then the ratio of two number is

(1) 4/9

(2) 3/2

(3) 10/3

(4) 5/8

Q.12

Q.13

Q.14 Toss a coin if head comes, two dices thrown simultaneously. If tail come, draw a card from number 1 to 9. What is probability of sum of number on dice 7 or 8 and number of card also 7 or 8. When head comes

(1) 9/72

(2) 19/72

(3) 15/36

(4) 72/00

Q.15

Q.16 If 6x + 8y = 48 cut axes at two points A & B, origin (O) then incentre of AOB is

(1) (2, 4)

(2) (4, 4)

(3) (2, 2)

(4) (4, 2)

Q.17

(1) –2

(2) 1

(3) 30

(4) 2

Q.18

Q.19 In a school 140 students which is numbered from 1 to 140 even numbered opt Mats, multiples of 3 opt Chemistry multiple of 5 opt Physics. How many number of students of which opt none of them

(1) 26

(2) 34

(3) 30

(4) 38

Q.20

Q.21

(1) 4

(2) 5

(3) 3

(4) 8

Q.22

(1) 1

(2) 2

(3) 3

(4) 4

Q.23

(1) discontinuous at x = 1

(2) discontinuous at x = 2

(3) non differentiable at x = 2

(4) discontinuous at x = –1

Q.24

1) 18

(2) 11

(3) 13

(4) None of these

Q.25

(1) x – y + 3 = 0

(2) x – y + 1 = 0

(3) x – y = 0

(4) x – y – 3 = 0

Q.26 Which of the following is amphoteric in nature

(1) Mg(OH)2

(2) Be(OH)2

(3) Ca(OH)2

(4) Sr(OH)2

Q.27 Which of the following is present in RNA

Q.28 What is the correct order of atomic radius

C, Cs, Al, S

(1) Cs > C > S > Al

(2) Al > S > C > Cs

(3) Cs > Al > S > C

(4) S > C > Cs > Al

Q.29 What is NaH

(1) Saline hydride

(2) Metal hydride

(3) Molecular hydride

(4) Electron rich hydride

Q.30 Which of the following will not get hydrolysed

(1) CCl4

(2) SiCl4

(3) PbCl4

(4) SnCl4

Q.31 PAN produce

(1) Acid rain

(2) Wastage

(3) Photochemical smog

(4) Classical smog

Q.32 Which of the following is solid Sol

(1) Butter

(2) Paints

(3) Gem stone

(4) Cake

Q.33 Which of the following is/are not aromatic

(1) a, c

(2) b, d only

(3) only b

(4) b, c, d

Q.34 Which of the following metal do not show variable Oxidation state -

(1) Sc

(2) Cu

(3) Ni

(4) Fe

Q.35

Q.36
Column – I Column – II
(i) Zn (a) Siderite
(ii) Fe (b) Calamine
(iii) Cu (c) Malachite
(iv) Al (d) Kaolin

(1) (i – d), (ii – a), (iii – b), (iv – c)

(2) (i – d), (ii – b), (iii – c), (iv – a)

(3) (i – b), (ii – a), (iii – d), (iv – c)

(4) (i – b), (ii – a), (iii – c), (iv – d)

Q.37 Two substance having same mass and of same metal at temp T1 and T2 they attain thermal equilibrium at constant pressure, the change in entropy observed is -

Q.38

Q.39

Q.40
Column – I Column – II
(i) Ofloxacin (P) Antibiotic drug
(ii) Norethindrone (Q) Hyper tension remover drug
(iii) Phenalzine (R) Anti fertility drug
(S) Analgesic drug

(1) i – P, ii – R, iii – Q

(2) i – R, ii – Q, iii – P

(3) i – S, ii – Q, iii – R

(4) i – S, ii – P, iii – R

Q.41 H2 can be used as better fuel because -

(a) It produce less pollution than petrol
(b) A cylinder of compressed H2 gas weights about, 30 time as much as tank of petrol
(c) Hydrogen is stored in tank of NaNi5 alloy
(d) It's calorific value is 50 KJ/mole and petrol has 120 KJ/mole

(1) b, c

(2) b, c, d

(3) a, b, c

(4) b, d

Q.42 Which will have highest cell potential per unit e– -

(1) Ag+/Ag

(2) Au+3/Au

(3) Fe+2/Fe

(4) Fe+3/Fe+2

Q.43
Match the following :
Column-I Column-II
(a) water + sugar (i) Sublimation
(b) water + toluene (ii) Differential extraction
(c) water + aniline (iii) Recrystallisation
(iv) Steam Distillation

(1) a – (iii), b – (ii), c – (iv)

(2) a – (ii), b – (iii), c – (i)

(3) a – (i), b – (iii), c – (iv)

(4) a – (ii), b – (i), c – (iv)

Q.44

(1) 0.036025 kg/mol

(2) 0.020252 kg/mol

(3) 0.010257 kg/mol

(4) 0.040312 kg/mol

Q.45 A Duma process is done on A compound X and if 6 mole CO2 is formed, 1 mole N2 is formed and 4 mole of H2O is formed what is X.

(1) C12 H16 N

(2) C12 H8 N2

(3) C6 H8 N2

(4) C6 H8 N

Q.46 Which of the following is correct -

(1) At 315 K, X is formed

(2) AT 280 K, Y is formed

(3) AT 350 K, X is formed

(4) At 300 K, Y is formed

Q.47 For Hydrogen atom when electron transit from high energy state to low energy state, a photon of wavelength 900 nm is obtain, which of the following is correct

(1) e– jump from infinite to third energy state (Paschen series).

(2) e– jump from 5th to fourth energy state (Bracket series)

(3) e– jump from infinite to ground state [Lyman series]

(4) e– jump from infinite to 2nd energy state [Balmer series]

Q.48 A solution having freezing point –0.5ºC is diluted after dilution its freezing point become –0.2ºC, if initially 2 cups of water is present, then after dilution, how much H2O is added -

(1) 3 cups of H2O

(2) 2 cups of H2O

(3) 1 cups of H2O

(4) 4 cups of H2O

Q.49 The cold water can contain maximum dissolved oxygen -

(1) 10 ppm

(2) 6 ppm

(3) 15 ppm

(4) 20 ppm

Q.50 In a mixture of 0.1 g of NaHCO3 & oxalic acid, 0.25 ml CO2 is released at (P = 1bar, T = 298.5 K). At this temperature and pressure the molar volume of CO2 is 25 lit. Then find out the % of sodium bicarbonate -

(1) 84

(2) 8.4

(3) 0.84

(4) 33.6

Q.51

Q.52 Some charge Q is to be distributed on 3 concentric shell such that surface charge density on each shell is same as shown. Find the electric potential at distance r (< a) from point O.

Q.53 Find the position of Jockey from point A so that there is no deflection in Galvanometer. Length of wire AB is L and it's resistance is 12 r.

Q.54 Find electric current flowing through R1 and R2.

(1) 0.5 A, 0.5 A

(2) 0.5 A, 0 A

(3) 0.05 A, 0 A

(4) 0 A, 0.5A

Q.55 A cube of side 2cm is moving along y-direction, with speed 6 m/s in the presence of uniform magnetic field of 0.1 T along z-direction. Find electric potential difference between the two planes perpendicular to x-axis.

(1) 4 mV

(2) 8 mV

(3) 12 mV

(4) 16 mV

Q.56

(1) – MB

(2) 2 MB

(3) + MB

(4) – 2MB

Q.57 Select the value of A and B for output y = 1

(1) A = 1, B = 1

(2) A = 1, B = 0

(3) A = 0, B = 0

(4) A = 0, B = 1

Q.58 A satellite is moving with a constant speed 'V' in a circular orbit about the earth. An object of mass 'm' is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the kinetic energy of the object is -

Q.59 A ball of mass 0.3 kg is released from a tower of height 100 m, simultaneously a bullet of mass 0.2 kg fired vertically upward from point just below it with speed 100 m/s find height attained above the tower by combined mass system after collision

(1) 35

(2) 40

(3) 45

(4) 140

Q.60 A source approaching a stationary observer to times, at one time with speed 17 m/s and at second time with speed 34 m/s find ratio of observed frequencies by observer in these two cases.

Q.61 Two sprayers spread water with projecting speeds 1 km/hr and 2 km/hr then find ratio of maximum area covered by water sprayers

(1) 1 : 16

(2) 1 : 8

(3) 1 : 4

(4) 1 : 32

Q.62 A new system is made in which unit of length is 50 cm and unit of mass is 2 kg, then 128 kg/m3 unit of density of SI system each equal to ........ unit in new system

(1) 4

(2) 8

(3) 12

(4) 16

Q.63 Find unit vector from point 1 to point 2, where point I is centre of z-y plane & point 2 is centre of x-y plane (BCDO)

Q.64 A solid cylinder of radius R and mass m rolls on a rough surface and a constant force applied at its centre then find the angular acceleration

Q.65

Q.66

Q.67 Initial activity of fresh sample of radioactive Nuclei is 1600 DPS. After t = 8 sec activity of sample become 100 dPS. Find the Activity of sample at t = 6 sec.

(1) 200 dPS

(2) 300 dPS

(3) 400 dPS

(4) 600 dPS

Q.68 A string fixed at two ends vibrates such that its frequency is 100 Hz, length 1 m, tension 8 N and its mass is 5g find distance between two consecutive nodes?

(1) 40 cm

(2) 20 cm

(3) 25 cm

(4) 10 cm

Q.69 Three di-electric slabs of equal cross-sectional area having dielectric constants K1 = 12, K2 = 14 & K3 = 10 are completly filled between plates of capacitor completely as shown. Find equivalent di-electric constant.

(1) 12

(2) 15

(3) 14

(4) 10

Q.70 A conducting rod with thermal conductivity K = 0.01 W/m2–K and of length 1m is kept at temperatures 1000 K & 100 K across it's ends. Calculate heat flux passing through the rod.

(1) 100 W/m2

(2) 90 W/m2

(3) 10 W/m2

(4) 9 W/m2

Q.71 A small hole of coss-section area 1 cm2 is made at the bottom of a cylindrical vessel is given. Water is added in cylinder at the rate of 10–4 m3/s. Find equilibrium height in the cylinder

(1) 10 cm

(2) 20 cm

(3) 5 cm

(4) None

Q.72

(1) 500 nm, 625 nm

(2) 400 nm, 600 nm

(3) 400 nm, 625 nm

(4) 500 nm, 400 nm

Q.73 A wire of 18Ω resistance is in the shape of equilateral triangle. Find equivalent resistance between any two vertices of the triangle?

(1) 4Ω

(2) 8Ω

(3) 12Ω

(4) 6Ω

Q.74 A carbon resistor is given whose maximum power rating is 2 watt. Determine the maximum current that can flow through it

Q.75 A transmitting antenna at the top of a tower has a height 32 m and the height of the receiving antenna is 50 m. What is the maximum distance between them for satisfactory communication in line of sight (LOS mode)?

(1) 55.4 km

(2) 45.5 km

(3) 54.5 km

(4) 455 km

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