downloads/previous/II Year
II Year Section-I: General Ability 1.
What is the remainder when 163 + 173 + 183 + 193 is divided by 70? (A) 0 (B) 69 (C) 34
(D) 42
2.
Cost price of 150 articles is same as selling price of X articles. If profit is 20%, then value of X is (A) 200 (B) 125 (C) 100 (D) 150
3.
Identify the pair that best expresses a relationship similar to that expressed in the original pair Aluminium: Bauxite :: Iron: (A) Pyrite (B) Lignite (C) Hematite (D) Steatite
4.
Fill in the blank with appropriate word All these problems make me fear __________ my children’s future. (A) for (B) of (C) on (D) about
5.
Find the odd one out: (A) Zoom (B) Rush
(C) Whizz
(D) Zither
6.
In a marathon race (50 kilometers), Birbal gave Tansen a 30 30-minute minute head start. Tansen runs the race at a rate of 6 kilometers per hour. Birbal runs the race at a rate of 7 kilometers per hour. If they start from the same point and follow the same path, how long will Birbal run before he overtakes Tansen? (A) 2.5 hours (B) 3 hours (C) 4.25 hours (D) 3.75 hours
7.
Looking at a 12-year-old old family photograph, Sohail says to his nephew "I wa was as old as you are now and you were half as old as I am.” How old is Sohail? (A) 36 (B) 48 (C) 60 (D) 72
8.
If a cinema hall were to sell ‘t’ tickets for a movie, the total revenue from ticket sales would be 20 percent greater than the total costs of buying the film. If it actually sold all but 5 percent of the ‘t’ tickets, the total revenue from ticket sales was what percent greater than the total costs of the production? (A) 4% (B) 10% (C) 14% (D) 15%
SPACE FOR ROUGH WORK
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II Year 9.
The table below shows results of a cricket league comprising 6 teams. Each team in the league played each of the other teams exactly twice and there were no ties. How many games did team X win? LEAGUE RESULTS (A) 4 (B) 5 Team A B C D E X (C) 6
10.
Number of Games Won
(D) 8
4
7
9
2
2
?
There are 26 cards marked from A to Z . If a card is selected at random and a six sided die is rolled, what is the probability that a card marked G is selected and a number greater than 4 is rolled? (A) 1/40
(B) 1/26
(C) 1/156
(D) 1/78
11.
There are two types of photocopying machines, C and X. Operating at a constant rate, C does a certain job in 36 hrs and X does the same job in 18 hrs. If I used the same number of each type of machine to complete the job in 2 hours, how many machines of X were used ? (A) 3 (B) 4 (C) 6 (D) 12
12.
Identify the choice that replaces the underlined part to form a logically and grammatically correct statement. Karl Marx broke with Stalin in a bitter dispute over the nature of communism. (A) in a bitter dispute over (B) over bitterly disputing (C) after there was a bitter dispute over (D) over a bitter dispute about
13.
The average of six numbers will not change if all of them are multiplied by any constant. What is always true about this set of numbers? I. The average of the set is 0 II. The sum of the largest number and the smallest number of the set is 0 III. The set contains both positive and negative numbers (A) I only (B) II only (C) III only (D) I, II, and III
14.
Find the properr meaning of the word given in bold letters The business went belly up under the management of new C.E.O. (A) Improved (B) Failed (C) Civilized
(D) Rationalized
SPACE FOR ROUGH WORK
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II Year 15.
Wild ________ are found in many parts of the world including North and South America, Eur Europe and Asia. (A) boors (B) bores (C) boars (D) bowls
16.
A rabbit was enrolled in a rabbit school. It could hop well but could not swim. The parents were concerned. They said “Forget about hopping, concentrate on swimming”. The rabbit went to tuitions on swimming. Finally, it got success in swimming and forgotten how to hop. Choose the best matching conclusion: (A) Necessity is the mother of invention. (B) Slow and steady wins the race. (C) A rabbit cannot swim. (D) Strive for excellencee in the field we are in
17.
Srinivas gets on the elevator at the 5th floor of a building and rides up at a rate of 27 floors per min. At the same time Swetha gets on an elevator on the 25th floor of the same building and rides down at a rate of 33 floors per minute. If they continue traveling at these rates, at which floor will their paths cross with each other? other (A) 19 (B) 18 (C) 12 (D) 14
18.
Whenever police patrol increases, it often lowers petty crimes by providing visual deterrence in high-crime neighborhoods. Levels of funding for police patrols in some communities are increased when Central grants are made available. Which of the following can be correctly inferred from the statement above? (A) Areas with little vandalism can never benefit from fro visual deterrence. (B) Communities that do not increase their police patrols are at higher risk for crimes of late at night. (C) Visual deterrence is the most effective means of controlling petty theft. (D) Central grants for police patrols lower the rate of crimes of opportunity in some communities.
19.
Choose a word that is most nearly opposite in meaning to the word Sensitive (A) authoritative (B) inured (C) dissolute (D) taxins
20.
A: It is economic to buy a car by loan B: It is economic to buy a car by direct cash (single payment) Which of the following argument if true will weaken argument of B? (A) Middle class people also have ability to buy a car (B) Middle class people cannot buy a car in single installment (C) Middle class people have more money (D) Car is a status symbol for middle class people SPACE FOR ROUGH WORK
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II Year Section Section-II: Mathematics, Physics, Chemistry 21.
Total number umber of values of z for which 1 + z + z 2 + ..... + z15 = 0 and 1 + z + z 2 + ... + z11 = 0 is/are _________. (A) 1 (B) 2 (C) 11 (D) 15
22.
Two persons of same height 6ft standing on a road facing front view of a building report that the
angle of elevations at top of the building are 25o and 37o respectively. If two persons are 57ft
23.
24.
away from each other, what is the height of the building? (A) 75.73ft (B) 79.83ft (C) 56.75ft
(D) 48.93ft
Volume of 0.5mol of a gas at 1atm pressure and 273OC is (A) 22.4litre (B) 11.2litre (C) 44.8litre
(D) 5.6litre
If
sin ( x + y ) sin ( x − y )
(A) 25.
26.
b a
=
a+b tanx , then is equal to a−b tany (B)
a b
If y = 1+4sin2xcos2x then (A) 1 ≤ y ≤ 2 (B) −1 ≤ y ≤ 1
(C) ab
(D) None
(C) −3 ≤ y ≤ 3
(D) None
If mx − y + k = 0 touches both the parabola 4x − y 2 = 0 and the ellipse 4x 2 + 5y2 − 20 = 0, then the product of m and k is (A) 1 (B) -1
(C) ±1
(D) None of these
27.
Tangents are drawn at the ends of the latus rectum of the th parabola x 2 = 44yy then the distance between the point of intersection of the tangents and the focus of the parabola is __________. (A) 2 (B) -1 (C) 1 (D) None of these
28.
There are 5 flags of different colors, which are used for signaling. The number of different signals that can be formed by using these flags is (A) 430 (B) 520 (C) 325 (D) 220 SPACE FOR ROUGH WORK
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II Year 29.
Consider the diagram below. Which of the following is true? Note: Dashed portion is represented by x (A) x = A ∩ C (B) x ⊂ A ∩ B
(C) x = A ∩ B ∩ C
30.
(D) All of these
a−x c b b−x a = 0 is If a + b + c = 0, then the value of x in c b a c−x (A) x = 0, x = ±
3( 2 a + b2 + c2 ) 2
(C) x = 0, x = ± ( a 2 + b 2 + c 2 ) 31.
33.
(B) x = 0, x = ±
1( 2 a + b 2 + c2 ) 2
(D) x = 0, x = ± 3 ( a 2 + b 2 + c 2 )
A particle moves with a simple harmonic motion in a straight line. It starts from rest and travels a distance ‘a’ in first second and in the next second it travels a distance ‘b’ in the same direction. The amplitude of the motion is (A)
32.
B C
A
2a 2 3b − a
(B)
3a 2 3a − b
(C)
2a 2 3a − b
At what temperature enzyme activity is maximum? (A) 290K (B) 310K (C) 330K
(D)
3a 2 3b − a
(D) 350K
A copper rod of mass m sli slides des under gravity on two smooth parallel rails ‘l’ distance apart and set at an angle θ to the horizontal. At the bottom, the rails are joined by a r resistance R. There is a uniform magnetic field perpendicular to B the plane of the rails. The terminal velocity of the rod is mgR cos θ mgR sin θ VT (A) (B) 2 2 Bl B2 l2 θ R mgR tan θ mgR cot θ (C) (D) B2 l 2 B2 l2 SPACE FOR ROUGH WORK
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II Year 34.
The element with the atomic number 28 belongs to ________ block in the periodic table. (A) d (B) s (C) p (D) f
35.
Two electric bulbs, each designed to operate with a power of 500 W in a 200 V supply line are connected in series to a 100 V supply line. The power generated in each bulb is (A) 31 W (B) 31.25 W (C) 31.50 W (D) 31.75 W
36.
In an LCR circuit, capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should change from L to (A) 4L (B) 2L (C) L/2 (D) L/4
37.
Two particles of mass m and 4m have kinetic energies in the ratio of 2:1. What is the ratio of their linear momentum? 1 1 1 1 (A) (B) (C) (D) 2 4 16 2
38.
A satellite is orbiting the earth in a circular orbit of radius r. Its period of revolution varies as
(A)
r
(B) r
3/ 2 (C) r
2 (D) r
39.
100 g of ice at 0oC is mixed with 100 g of water at 80oC. The final temperature of the mixture will be (A) 0oC (B) 20oC (C) 40oC (D) 60oC
40.
A travelling wave in a stretched string is described by the equation, y = Asin(kx − ω t) . The maximum particle velocity is ω dω x (A) Aω (B) (C) (D) k dk t Magnetic property of iron is lost at (A) Boiling point (B) 1000K (C) Curie point (D) Melting point
41.
42.
Railway wagon axles are made by heating iron rods embedded in charcoal powder. This process is (A) Tempering (B) Annealing (C) Sherardising (D) Case hardening
43.
Which of the following is used in refining of oils? (A) NaOH (B) Na2Co3 (C) NaHCo3
(D) NaNo3
SPACE FOR ROUGH WORK
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II Year 44.
The angular momentum of a d – electron is
(A) 45.
2h 2π
2h 2π
(B)
22 carat gold contains (A) 18% gold (B) 91.6% Gold
(C)
6h 2π
(C) 24% Gold
(D)
6h 2π
(D) 22% Gold
46.
A disc is rotated about its axis with a certain angular velocity and lowered gently on a rough inclined plane as shown in the figure, then I. it will rotate at the position where it was placed then it 1 will move downwards µ= 3 II. frictional force direction reverses after some time III. it will climb upwards and then move downwards θ = 30o Which of the above mentioned statements is/are true? (A) I and II (B) II and III (C) III only (D) I, II and III
47.
Solution of log( x +3) x 2 − x < 1 is
48.
(
)
(A) ( −2, −1) ∪ ( 0,1) ∪ ( 2, ∞ )
(B) ( −2,0 ) ∪ ( 2, 4 ) ∪ ( 4, ∞ )
(C) ( −3, −1) ∪ (1,3) ∪ ( 4, ∞ )
(D) ( −3, −2 ) ∪ ( −1,0 ) ∪ (1,3)
Water at temperature 0oC, is filled in a non-conducting conducting cylindrical vessel of uniform cross crosssectional area. If the vessel is exposed to the atmosphere, having constant temperature of
−θo C ( < 0o C) the thickness of ice layer after a time t is _______. (K- Thermal conductivity uctivity of ice, ρ − density of ice, L - latent heat of fusion of ice)
(A)
2Kθ t ρL
(B)
Kθ t ρL
(C)
Kθ t 2ρL
(D)
Kθ t 4ρL
49.
Specific conductance of 0.02M kcl is 0.0022scm2mol-1. Its molar conductance is (A) 44 (B) 110 (C) 0.11 (D) 9.09
50.
A hydrogen electrode contains HCl solution of pH 3 at 298K. Its electrode potential is
(A) +0.18V
(B) -0.18V
(C) 3.8V
(D) -3.8V
SPACE FOR ROUGH WORK
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What is the remainder when 163 + 173 + 183 + 193 is divided by 70? (A) 0 (B) 69 (C) 34
(D) 42
2.
Cost price of 150 articles is same as selling price of X articles. If profit is 20%, then value of X is (A) 200 (B) 125 (C) 100 (D) 150
3.
Identify the pair that best expresses a relationship similar to that expressed in the original pair Aluminium: Bauxite :: Iron: (A) Pyrite (B) Lignite (C) Hematite (D) Steatite
4.
Fill in the blank with appropriate word All these problems make me fear __________ my children’s future. (A) for (B) of (C) on (D) about
5.
Find the odd one out: (A) Zoom (B) Rush
(C) Whizz
(D) Zither
6.
In a marathon race (50 kilometers), Birbal gave Tansen a 30 30-minute minute head start. Tansen runs the race at a rate of 6 kilometers per hour. Birbal runs the race at a rate of 7 kilometers per hour. If they start from the same point and follow the same path, how long will Birbal run before he overtakes Tansen? (A) 2.5 hours (B) 3 hours (C) 4.25 hours (D) 3.75 hours
7.
Looking at a 12-year-old old family photograph, Sohail says to his nephew "I wa was as old as you are now and you were half as old as I am.” How old is Sohail? (A) 36 (B) 48 (C) 60 (D) 72
8.
If a cinema hall were to sell ‘t’ tickets for a movie, the total revenue from ticket sales would be 20 percent greater than the total costs of buying the film. If it actually sold all but 5 percent of the ‘t’ tickets, the total revenue from ticket sales was what percent greater than the total costs of the production? (A) 4% (B) 10% (C) 14% (D) 15%
SPACE FOR ROUGH WORK
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II Year 9.
The table below shows results of a cricket league comprising 6 teams. Each team in the league played each of the other teams exactly twice and there were no ties. How many games did team X win? LEAGUE RESULTS (A) 4 (B) 5 Team A B C D E X (C) 6
10.
Number of Games Won
(D) 8
4
7
9
2
2
?
There are 26 cards marked from A to Z . If a card is selected at random and a six sided die is rolled, what is the probability that a card marked G is selected and a number greater than 4 is rolled? (A) 1/40
(B) 1/26
(C) 1/156
(D) 1/78
11.
There are two types of photocopying machines, C and X. Operating at a constant rate, C does a certain job in 36 hrs and X does the same job in 18 hrs. If I used the same number of each type of machine to complete the job in 2 hours, how many machines of X were used ? (A) 3 (B) 4 (C) 6 (D) 12
12.
Identify the choice that replaces the underlined part to form a logically and grammatically correct statement. Karl Marx broke with Stalin in a bitter dispute over the nature of communism. (A) in a bitter dispute over (B) over bitterly disputing (C) after there was a bitter dispute over (D) over a bitter dispute about
13.
The average of six numbers will not change if all of them are multiplied by any constant. What is always true about this set of numbers? I. The average of the set is 0 II. The sum of the largest number and the smallest number of the set is 0 III. The set contains both positive and negative numbers (A) I only (B) II only (C) III only (D) I, II, and III
14.
Find the properr meaning of the word given in bold letters The business went belly up under the management of new C.E.O. (A) Improved (B) Failed (C) Civilized
(D) Rationalized
SPACE FOR ROUGH WORK
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II Year 15.
Wild ________ are found in many parts of the world including North and South America, Eur Europe and Asia. (A) boors (B) bores (C) boars (D) bowls
16.
A rabbit was enrolled in a rabbit school. It could hop well but could not swim. The parents were concerned. They said “Forget about hopping, concentrate on swimming”. The rabbit went to tuitions on swimming. Finally, it got success in swimming and forgotten how to hop. Choose the best matching conclusion: (A) Necessity is the mother of invention. (B) Slow and steady wins the race. (C) A rabbit cannot swim. (D) Strive for excellencee in the field we are in
17.
Srinivas gets on the elevator at the 5th floor of a building and rides up at a rate of 27 floors per min. At the same time Swetha gets on an elevator on the 25th floor of the same building and rides down at a rate of 33 floors per minute. If they continue traveling at these rates, at which floor will their paths cross with each other? other (A) 19 (B) 18 (C) 12 (D) 14
18.
Whenever police patrol increases, it often lowers petty crimes by providing visual deterrence in high-crime neighborhoods. Levels of funding for police patrols in some communities are increased when Central grants are made available. Which of the following can be correctly inferred from the statement above? (A) Areas with little vandalism can never benefit from fro visual deterrence. (B) Communities that do not increase their police patrols are at higher risk for crimes of late at night. (C) Visual deterrence is the most effective means of controlling petty theft. (D) Central grants for police patrols lower the rate of crimes of opportunity in some communities.
19.
Choose a word that is most nearly opposite in meaning to the word Sensitive (A) authoritative (B) inured (C) dissolute (D) taxins
20.
A: It is economic to buy a car by loan B: It is economic to buy a car by direct cash (single payment) Which of the following argument if true will weaken argument of B? (A) Middle class people also have ability to buy a car (B) Middle class people cannot buy a car in single installment (C) Middle class people have more money (D) Car is a status symbol for middle class people SPACE FOR ROUGH WORK
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II Year Section Section-II: Mathematics, Physics, Chemistry 21.
Total number umber of values of z for which 1 + z + z 2 + ..... + z15 = 0 and 1 + z + z 2 + ... + z11 = 0 is/are _________. (A) 1 (B) 2 (C) 11 (D) 15
22.
Two persons of same height 6ft standing on a road facing front view of a building report that the
angle of elevations at top of the building are 25o and 37o respectively. If two persons are 57ft
23.
24.
away from each other, what is the height of the building? (A) 75.73ft (B) 79.83ft (C) 56.75ft
(D) 48.93ft
Volume of 0.5mol of a gas at 1atm pressure and 273OC is (A) 22.4litre (B) 11.2litre (C) 44.8litre
(D) 5.6litre
If
sin ( x + y ) sin ( x − y )
(A) 25.
26.
b a
=
a+b tanx , then is equal to a−b tany (B)
a b
If y = 1+4sin2xcos2x then (A) 1 ≤ y ≤ 2 (B) −1 ≤ y ≤ 1
(C) ab
(D) None
(C) −3 ≤ y ≤ 3
(D) None
If mx − y + k = 0 touches both the parabola 4x − y 2 = 0 and the ellipse 4x 2 + 5y2 − 20 = 0, then the product of m and k is (A) 1 (B) -1
(C) ±1
(D) None of these
27.
Tangents are drawn at the ends of the latus rectum of the th parabola x 2 = 44yy then the distance between the point of intersection of the tangents and the focus of the parabola is __________. (A) 2 (B) -1 (C) 1 (D) None of these
28.
There are 5 flags of different colors, which are used for signaling. The number of different signals that can be formed by using these flags is (A) 430 (B) 520 (C) 325 (D) 220 SPACE FOR ROUGH WORK
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II Year 29.
Consider the diagram below. Which of the following is true? Note: Dashed portion is represented by x (A) x = A ∩ C (B) x ⊂ A ∩ B
(C) x = A ∩ B ∩ C
30.
(D) All of these
a−x c b b−x a = 0 is If a + b + c = 0, then the value of x in c b a c−x (A) x = 0, x = ±
3( 2 a + b2 + c2 ) 2
(C) x = 0, x = ± ( a 2 + b 2 + c 2 ) 31.
33.
(B) x = 0, x = ±
1( 2 a + b 2 + c2 ) 2
(D) x = 0, x = ± 3 ( a 2 + b 2 + c 2 )
A particle moves with a simple harmonic motion in a straight line. It starts from rest and travels a distance ‘a’ in first second and in the next second it travels a distance ‘b’ in the same direction. The amplitude of the motion is (A)
32.
B C
A
2a 2 3b − a
(B)
3a 2 3a − b
(C)
2a 2 3a − b
At what temperature enzyme activity is maximum? (A) 290K (B) 310K (C) 330K
(D)
3a 2 3b − a
(D) 350K
A copper rod of mass m sli slides des under gravity on two smooth parallel rails ‘l’ distance apart and set at an angle θ to the horizontal. At the bottom, the rails are joined by a r resistance R. There is a uniform magnetic field perpendicular to B the plane of the rails. The terminal velocity of the rod is mgR cos θ mgR sin θ VT (A) (B) 2 2 Bl B2 l2 θ R mgR tan θ mgR cot θ (C) (D) B2 l 2 B2 l2 SPACE FOR ROUGH WORK
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II Year 34.
The element with the atomic number 28 belongs to ________ block in the periodic table. (A) d (B) s (C) p (D) f
35.
Two electric bulbs, each designed to operate with a power of 500 W in a 200 V supply line are connected in series to a 100 V supply line. The power generated in each bulb is (A) 31 W (B) 31.25 W (C) 31.50 W (D) 31.75 W
36.
In an LCR circuit, capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should change from L to (A) 4L (B) 2L (C) L/2 (D) L/4
37.
Two particles of mass m and 4m have kinetic energies in the ratio of 2:1. What is the ratio of their linear momentum? 1 1 1 1 (A) (B) (C) (D) 2 4 16 2
38.
A satellite is orbiting the earth in a circular orbit of radius r. Its period of revolution varies as
(A)
r
(B) r
3/ 2 (C) r
2 (D) r
39.
100 g of ice at 0oC is mixed with 100 g of water at 80oC. The final temperature of the mixture will be (A) 0oC (B) 20oC (C) 40oC (D) 60oC
40.
A travelling wave in a stretched string is described by the equation, y = Asin(kx − ω t) . The maximum particle velocity is ω dω x (A) Aω (B) (C) (D) k dk t Magnetic property of iron is lost at (A) Boiling point (B) 1000K (C) Curie point (D) Melting point
41.
42.
Railway wagon axles are made by heating iron rods embedded in charcoal powder. This process is (A) Tempering (B) Annealing (C) Sherardising (D) Case hardening
43.
Which of the following is used in refining of oils? (A) NaOH (B) Na2Co3 (C) NaHCo3
(D) NaNo3
SPACE FOR ROUGH WORK
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II Year 44.
The angular momentum of a d – electron is
(A) 45.
2h 2π
2h 2π
(B)
22 carat gold contains (A) 18% gold (B) 91.6% Gold
(C)
6h 2π
(C) 24% Gold
(D)
6h 2π
(D) 22% Gold
46.
A disc is rotated about its axis with a certain angular velocity and lowered gently on a rough inclined plane as shown in the figure, then I. it will rotate at the position where it was placed then it 1 will move downwards µ= 3 II. frictional force direction reverses after some time III. it will climb upwards and then move downwards θ = 30o Which of the above mentioned statements is/are true? (A) I and II (B) II and III (C) III only (D) I, II and III
47.
Solution of log( x +3) x 2 − x < 1 is
48.
(
)
(A) ( −2, −1) ∪ ( 0,1) ∪ ( 2, ∞ )
(B) ( −2,0 ) ∪ ( 2, 4 ) ∪ ( 4, ∞ )
(C) ( −3, −1) ∪ (1,3) ∪ ( 4, ∞ )
(D) ( −3, −2 ) ∪ ( −1,0 ) ∪ (1,3)
Water at temperature 0oC, is filled in a non-conducting conducting cylindrical vessel of uniform cross crosssectional area. If the vessel is exposed to the atmosphere, having constant temperature of
−θo C ( < 0o C) the thickness of ice layer after a time t is _______. (K- Thermal conductivity uctivity of ice, ρ − density of ice, L - latent heat of fusion of ice)
(A)
2Kθ t ρL
(B)
Kθ t ρL
(C)
Kθ t 2ρL
(D)
Kθ t 4ρL
49.
Specific conductance of 0.02M kcl is 0.0022scm2mol-1. Its molar conductance is (A) 44 (B) 110 (C) 0.11 (D) 9.09
50.
A hydrogen electrode contains HCl solution of pH 3 at 298K. Its electrode potential is
(A) +0.18V
(B) -0.18V
(C) 3.8V
(D) -3.8V
SPACE FOR ROUGH WORK
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