पालिटेक्निक प्रवेश परीक्षा / Iert-2017

Solve this question and comment right answer.

Model Paper
Science
1. Sulphur dioxide is used in-
(a)purification of milk (b)purification of petroleum
(c)purification of air (d)none of the above
2. The fourth member of compound having general formula CnH2n+2 is-
(a)Ethane (b)propane (c)pentane (d) butane
3. Which compound is formed by dissolving ammonia in water
(a)NH2OH (b)NH4O2 (c)NH4OH (d)none of these
4. The position of image of a object placed at a distance of 25 cm in front of a concave mirror of focal length 50 cm will be-
(a)50cm,behind the mirror (b)50cm,in front of mirror
(c)35cm,behind the mirror (d)35cm,front of mirror
5. The resultant of two vectors will be maximum when the angle between them is-
(a)00 (b)600 (c)900 (d)300
6. The flow of charge is-
(a)work (b)energy (c) current (d)potential
7. A current of 3.5 amperes passes through a resistance wire connected across the potential difference of 12 volts for 2 minutes. The energy consumed in wire will be –
(a)5041 joules (b)5040 joules (c)4050 joules (d)4500 joules
8. The formula of dolomite is-
(a)MgCO2 . CaCO3 (b)MgCO3.CaCO2 (c)MgCO3 .CaCO3 (d)Mg.CaCO3
9. If specific heat of iron is 0.12 and its specific gravity is 7.5 , the volume of iron which will have the same thermal capacity as 0.9 liters of water will be-
(a)900 cc (b)1000 cc (c)500 cc (d)none of these
10. 5gm of ice at 00C is placed into 20gm of water at 450c . the resulting temperature will be-
(a)22.50C (b)11.250C (c)450C (d)200C
11. A man is looking vertically downwards into a tank filled with water , the bottom of which appears to be at a depth of 30 metres. If refractive index of water is 1.33, the actual depth of tank will be-
(a)39.9 miter (b)22.55 miter (c)19.95 miter (d)25miter
12. A person cannot see objects nearer than 90 cm. the power and nature of lens he should use to see objects at 30cm.
(a)2.22diopters convex (b)4.45diopters convex
(c)2.22diopters concave (d)4.45diopters concave
13. Reduction reaction among the following is-
(a)2FeCl2 + Cl2 → 2FeCl3
(b)H2s + H2O2 → S + 2H2O
(c)2CH3OH + O2 → 2HCHO + 2H2O
(d)3FeCl3 + H2S2 → 3FeCl2 + 2HCl + S
14. The percentage composition of a compound is given below- C=52.17%; H=13.06%; O=34.77%
If molecular weight of compound is 46, its molecular formula is given [C=12, H=1, O=16]
(a)CH3CHO (b)C2H5OH (c)CH3COOH (d)HCHO
15. Proton is-
(a)nucleus of heavy hydrogen (b)A fundamental particle
(c)electro positive particle (d)all of the above
16. A metal has 3 oxides. The metal content in each of them is respectively 76.47%, 61.78%,and 51.68% the figure reflect
(a)law of multiple proportion (b)law of fixed proportion
(c)law of equivalent proportion(d)law of conservation of mass
17. Rolled gold is –
(a)phosphor bronze (b)aluminium bronze
(c)german silver (d)monal metal
18. calcination is-
(a)heating the ore in limited supply or absence of air
(b)heating the ore in excess of air
(c)cooling the ore (d) none of these
19. The place of element in the periodic table having atomic number 17 is in-
(a)VII period,VII group (b)III period,VII group
(c)IV period,VII group (d)II period,VI group
20. The chemical substance used in fire extinguishers is-
a)Na2CO3 (b)HCl (c)NaCl (d)CaCl2
21. If force acting on a surface is increased twice and the area of surface is reduced to half, then how many times the final pressure becomes that of initial ?
(a)4 times (b)3 times (c)2 times (d)8 times
22. The power of an engine is 30 kilowatt. Time taken by it is lifting a 150 kg body upto a 50 metre height is(g=9.8 m/sec2½
(a)2.45 sec (b)4.25sec (c)24.5 sec (d)0.245 sec
23. If the weight of a body is w1 and w2 in air and water respectively, them its relative density will be-
(a)(w_1-w_2)/w_1 (b)w_1/(w_2-w_1 ) (c)w_1/(w_1-w_2 ) (d)1
24. Two things are dropped from heights h1 and h2 simultaneously. The ratio of time taken by them to reach on earth-
(a)h1/h2 (b)√(h_1/h_2 ) (c)h2/h1 (d)√(h_2/h_1 )
25. 1.8 gm ,metal reacts with dilute H2SO4 at 270C and 754 mm pressure gives 600 cm 3 hydrogen. If the pressure of water at 270C is 14 mm, then equivalent weight of metal will be –
(a)18.8 (b)37.6 ( (d)16.8 ( c)35.5
26. When force raised to four times and the area of surface
reduces to half , then the final pressure will become-
(a)2/4 times (b)4/2 times (c)8 times (d)1/8 times
27. An accurate centigrade thermometer and a faulty Fahrenheit thermometer measures the temperature of a body 600c and 1410F. the error in the reading of Fahrenheit
Thermometer will be-
(a)10F (b)20F (c)40F (d)none of these
28. An electric current of 10 ampere is flowing in a 20cm wire having mass of 4x10-3 kg/m. the value of magnetic field in weber/m2 to hang the wire will be (g=10m/sec2)
(a)4.5x10-2 (b)4x10-3 (c)5x10-3 (d)6.5x10-3
29. Cause of Brownian motion is-
(a)fluctuation of temperature in matter state
(b)Attraction and repulsion of colloidal particles
(c)collision of particles in dispersion medium
(d) none of these
30. After three half life period percentage of rest amont of radioactive substance to its initial amount will be-
(a)50 (b)75 (c)12.5 (d)6.25
31. full name of P.V.C is-
(a)poly vinyl chloride (b)poly vinyl chromate
(c)poly vinyl carbonate (d) poly vinyl chlorite
32. 10gm of CaCO3 are being neutralized by 20% nitric acid,find out the mass of acid (C=40,C=12, O=16,N=14)
(a)31.5gm (b)63gm (c)50gm (d)12.6 gm
33. The e.m.f. of a battery , if terminal potential difference is 28.5 v when giving a current of 1 ampere and terminal potential difference is 27 v when giving a current of 2 amperes, will be-
(a)30 volt (b)10 volt (c)28.5volt (d)none of these
34. A 1.5 kw water heater , a 660 watt air heater and an electric iron using 5 amperes are operated at the same time on a 220 volt line . if the cost of energy is Rs.4.00/kwh, the cost of operating all the three for 5 hours will be-
(a)55.20 Rs. (b)63 Rs. (c)65.20 Rs. (d)none of these
35. Temperature of a cube whose sides are 1 metre each at 00c ,is raised to 1000c. if the sides become 1.005 m each after heating ,the coefficient of liner expansion of the material of cube will be-
(a)5x10-6 (b)15x10-5 (c)18x10-5 (d)none of these
36. The density of NH3 at 300 and 2 atmosphere pressure will be, approximately (take at. Wt. of N=14,H=1)-
(a)1.37 gm/liter (b)1.87gm/liter
(c)3.77 gm/liter (d)none of these
37. the compound that can have a triple bond is-
(a)C3H4 (b)C3H8 (c)C3H6 (d)C2H4
38. Methane reacts with ozone to from-
(a)CO2 (b)CH3OH (c)H2 (d)HCHO
39. A bullet moving horizontally strikes a target and comes to rest. If initial temperature of bullet is 250c, its melting point is 275oc ,its specific heat is 0.05 and its latent heat of fusion is 29.5 calories/gm, the minimum velocity , at which the bullet will melt on striking the target is (take J=4.2 joules/calorie)
(a)420√2 mt/sec (b)410 mt/sec (c)420 mt/sec (d)none of these
40. Sodium Zeolite ¼Na2Z) used in removing permanent hardness of water becomes ineffective after prolonged use. It can be rejuvenated by-
(a)passing it through conc. H2S4
(b)passing 10% solution of NaCl through it
(c)passing steam through it
(d)passing caustic soda through it
41. Wavelength range for visible light is:
(a)0.1 Å to 100 Å (b)100Å to 4000Å (c)4000Å to 8000Å (d)above 8000Å
42. If the amplitude of a wave is doubled then its loudness becomes :
(a)double (b)thrice (c)four times (d)metre
44. Among the elements Li,Na,Mg,Al the lowest value of ionization potential of element will be:
(a)Li (b)Na (c)Mg (d)Al
45. Mass of oxygen in 36 g of pure water is:
(a)16 g (b)64g (c)70g (d)32g
46. Percentage of cu in rolled gold is
(a)50% (b)75% (c)90% (d)10%
47. The basis of modern periodic classification is
(a)atomic wt (b)atomic number
(c) valency (d)chemical reactivity
48. The speed of light in air is 3x108m/s. the velocity of light in the medium of refractive index 1.5 will be
(a)1.5x108 m/sec (b)2x108m/sec
(c)1x108 m/sec (d)2.5x108m/sec
49. In which colour scattering is maximum
(a)voilet (b)blue (c) yellow (d) red
50. The mass of moon is 1/81 of the mass the earth . if gravitational force of earth on moon is F, then the gravitational force of moon on earth is-
(a)F/81 (b)F (c)9F (d)81F

Model Paper
Math
1.what is the value of-√(5√(5√(5√(5√(5√(5 )) ) ) ) )
(a)2 63/64 (b)5 (c)563./64 (d)564/63
2- what is the value of ∛(√(0.000064 ))
(a)0.02 (b)0.2 (c)2 (d)none of these
3. what is the value of -¼125½-2/3
(a)1/50 (b)1/25 (c)1/20 (d)1/15
4. what is the value of √( x^4 y^2 ) × ∜(x^8 y^(-16) )
(a)x4y-3 (b)x2 y-3 (c)xy-3 (d)y-3
5.what is the angle between two lines √3X – Y=5 and X- √3Y =7
(a)300 (b)450 (c)600 (d)none of these
6. what is the value of (0.5×0.5×0.5+0.6×0.6×0.6)/(0.5×0.5-0.3+0.6×0.6)
(a)0.3 (b)0.2 (c)0.5 (d)0.4
7. what is the value of HCF 3/4 ,3/2 and 6/5
(a)1/20 (b)2/20 (c)3/20 (d)4/20
8.If x3- 1/x^3 =14 then what is the value x- 1/x
(a)2 (b)3 (c)4 (d)5
9.If 2x-1 +2x+1 =320 then the find value x
(a)5 (b)6 (c)7 (d)8
10.If x4+1/x^4 =194 then ,what is the value of x3+1/x^3
(a)50 (b)52 (c)60 (d)65
11.If tan⁡〖ϴ=〗 √(e^2-1) the sec⁡〖ϴ+tan〗3ϴ × cosecϴ is equal to
(a)e3 (b)e3/2 (c)(e2-1)3/2 (d)(e2-1)7/2
12.If cos⁡A – sinA = √2 sin A the cosA + sinA is equal to
(a)-√2cosA (b)√(2cosA ) (c)1/√2 cosA (d) - 1/√2 cosA
13. what is the value of (cosec 4 A – 1)
(a)1+cot2A (b)1- tan2A (c)2cot2A+cot4A (d) none of these
14. what is the maximum value, when
(a)ϴ=450 (b)ϴ=300 (c)ϴ=600 (d)ϴ=
15. what is the value of 〖tan135〗^0/〖sin225〗^0 × 〖sin37〗^0/(cos⁡(〖-30〗^0)) × 〖cos315〗^0/〖cos53〗^0
(a)(√6+2√2)/4 (b)2/√3 (c)-2/√3 (d)1/2
16.If the roots of equation x2- px + q = 0 are α]β then given the value ( α/β + β/α )
(a) (p^2+〖2q〗^2)/q (b)(p^2-〖2q〗^2)/q (c)(p^2-〖2q〗^2)/p (d)(p^2-2q)/q
17.If α,β are the roots of equation ¼x-a) (x-b) = c then find the roots of eqution (x-α) (x-β)+c =o
(a)a,c (b)b,c (c)a,b (d)a+c,b+c
18.equation ax= b2x+3 what is the value of X
(a)3logb/(loga-2logb) (b)3logb/(2logb-loga) (c)2logb/(3logb-loga) (d)2logb/█(loga-3logb@)
19. what is the value of log 324 3√2 – log24 (2×3^(1/3))
(a) - 1/12 (b)1/2 (c)1/4 (d)- 1/3
20. what is the one’s place value of (2153)167
(a)3 (b)7 (c)1 (d)9
21.what is the five digit greatest number which is divisible by 277
(a)9999 (b)9901 (c)9954 (d)9944
22.If Ram’s income 20% less then Shyam’s income, then how many percentage shyam’s income is more than Ram’s income.
(a)25% (b)20% (c)24% (d)30%
23.If tan(a+b)=x and tan(a-b) =y then what is the value of tan2a
(a)(1-x)/(1+y) (b)(x+y)/(1-xy) (c)(x+y)/(x-y) (d)(1-y)/x
24.Depression angle of a boat from 15 mt high bridge is 450] If boat is coming with the speed of 6km/hr. then it will reach below the bridge in
(a)9sec (b)12sec (c)10sec (d)6sec
25.If vertices of a triangle are ¼aaa,c+a),(a,c) and (- a,c-a) then area of triangle is
(a) c2 square unit (b)ac square unite (c) (c2-a2) square unite (d) a2 square unit
26.If 1/4 th of a number is added in number itself then the result is 75 then the number is
(a)60 (b)50 (c)30 (d)20
27.If HCF of two expression A and B is H then HCF of (A+B) and (A-B) is
(a)A (b)B (c)H (d)1
28.Numerical value of a sphere’s volume is 5 times of sphere’s surface area . Radius of sphere is
(a)5 cm (b)15cm (c)10cm (d)12cm
29.A hollow cylinder has diameter of 14 cm .It is partially filled with water. Water level increases by 89/14 cm when an iron cuboid object is immersed in it. Side of iron cube is
(a)7cm (b)11cm (c)22cm (d)9 cm
30.Angles of a triangle are in ratio of 1:5:12 Biggest angle of the triangle is
(a)450 (b)600 (c)1200 (d)900
31.Two adjacent sides of a right angled triangle are 11cm and 60cm. The perimeter of circumcircle of this triangle is-
(a)71πcm (b)61πcm (c)22πcm (d)60πcm
32.Difference of a right angled triangle is 2π/5 radian. Those angles are of values
(a)300,600 (b)150,750 (c)90,810 (d)120,780
33.If diagonal of a parallelogram are of same length and cut at right angles ; then the quadrilateral is
(a)equiperpendicular (b)square (c)rhombus (d)rectangle
34.Base of a parallelogram is 4 times of perpendicular to adjacent vertex . if area of parallelogram is 64 cm2 then base is
(a)12cm (b)8cm (c)16cm (d)32cm
35.If coordinates of a circle’s diameter are ¼-2,10)and (12,-4) then coordinate of circle’s centre are
(a)(5,3) (b)(10,6) (c)(14,6) (d)(3,6)
36.If p =(2,-1) and Q= (K,1) and PQ= 2√2 unit then value of k is
(a)8 (b)4 (c)2 (d)2√2
42.If the difference between the two sides of a right angled triangle is 2 cm and the area of the triangle is 24 cm-2 . the perimeter of the triangle will be
(a)20cm (b)24cm (c)30cm (d)15cm
43.A sheet is 30 cm long and 10 cm wide . circular pieces all of equal diameters are cut from the sheet to prepare discs . If the diameter of disc is 1 cm how many discs can be made from sheet?
(a)300 (b)100 (c)200 (d)95
44.Manufacturer A sells a washing machine to a trader B for 12500 rupees .trader B sells to a trader C at a profit of 800 rupees and trader C sells it to a customer at a profit of 1300 rupees .if the rate of VAT is 8% ,then the amount consumer paid for the machine is :
(a)15768 (b)14600 (c)15600 (d)15704
45.If price of a TV set inclusive of sales tax of 9% is 40221 rupees ,then the marked price is :
(a)43,840.89 (b)36,198.90 (c)36900 (d)43850
46.A chord of length 24 cm is at a distance of 5 cm from the centre of the circle. The length of the chord of the same circle which is at a distance of 12 cm from the centre is:
(a)12cm (b)10cm (c)5cm (d)24cm
47- The line 4x – 3y +12 = 0 meets x-axis at A. the co-ordinates of A are:
(a)4,0 (b)4,3 (c) – 3,0 (d)3,12
48-A rocket is fired vertically upward from its launching pad P . It first rises 40km vertically upwards and then 40km at 600 to the vertical . The height attained by the rocket from its launching pad P is:
(a)80km (b)60km (c)65km (d)85km
49-The angle of elevation of a hill at the foot of the tower is 600 and the angle of elevation of top of the tower from the foot of the hill is 300 .If the tower is 20 m high , then the height of the hill is:
(a)60miter (b)80miter (c)40miter (d)30miter
50.Rohit has 9500 rupees more than Deep .if Deep gives 2000 rupees to Rohit , the money with Rohit will be four times the money left with Deep . The money initially with Rohit and Deep are
(a)13500,4000 (b)16500,6000 (c)17000,6500 (d)none of these

3. Speed
Speed is defined as the total distance travelled by the object in the time interval during which the motion takes place. SI unit of speed is meter per second. So,

where s is the distance travelled by the body and t is the time taken by the body to travel distance s.
• Speed of a body gives us the idea how slow or fast that body is moving.
• The ratio of total distance to total time taken by the body gives its average speed. The speed of a body at a given instant is its instantaneous speed.

• A body is said to have constant or uniform speed if it travels equal distance in equal intervals of time.

4. Velocity

• The rate of change of displacement of a body with the passage of time is known as velocity of the body. Velocity of an object is measured in meter per second in SI units. So,

• Velocity is nothing but the speed of an object moving in a definite direction.
• The velocity of an object can be uniform or variable. It can be changed by changing the object�s speed, direction of motion or both.
• So velocity of a body is a vector quantity involving both distance and displacement whereas speed of a body is a scalar quantity and it only has magnitude and does not have specific direction.
• Thus a body is said to be moving with uniform velocity if it covers equal distances in equal intervals of time in a specified direction.
• A body is said to be moving with non uniform velocity if it covers unequal distances in equal intervals of time and vice-versa in a specified direction or if it changes the direction of motion.
• The velocity of a body can be changed in two ways first by changing the speed of the body and second by changing the direction of motion of the body by keeping the speed constant. Also both speed and direction of the body can be varied in order to change the velocity of the body.
• When velocity of the object changes at a uniform rate, then average velocity is given by the arithmetic mean of initial velocity and final velocity for a given period of time. That is,

Where u is the initial velocity of the object and v is the final velocity of the object.

5. acceleration
• Acceleration is a measure of the change in the velocity of an object per unit time and mathematically it is given as

• If the velocity of an object changes from an initial value u to the final value v in time t, the acceleration a is given by,
a=v−uta=v−ut
and this kind of motion is called accelerated motion.
• A body has uniform acceleration if it travels in a straight line and its velocity increases by equal amount in equal intervals of time for example freely falling bodies, motion of ball rolling down the inclined plane etc.
• A body has non uniform acceleration if its velocity increases or decreases by unequal amount in equal intervals of time.
• If acceleration is in the direction of the velocity then it is positive acceleration and if it is in the direction opposite to the direction of velocity then it is negative and the negative acceleration is termed retardation.
• SI unit of acceleration is ms-2.