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Q1. If , then is ______

A

B

C

D

Q2. If , then is ______

A

B

C

D

Q3. If and , then is ______.

A

B

Clear Answer Mark for Review


C

D

Q4. The ratio of the present ages of the father and daughter is . After 12 years, the ratio of their

ages would be . Find the present age of the father.

A 68

B 64

C 58

D 54

Q5. P and Q are two workers. For each hour, P earns Rs.3 less than Q. the hourly earnings of P and Q are in the

ratio . Find the total earnings of both on a day on which both work for 9 hours.

A Rs.243

B Rs.324

C Rs.270

D Rs.252



Clear AnswerMark for Review

Q6. The present cost of a house site is Rs 15,000. After one year its cost increases by 10% at the end of second year its cost would go up by 15% over the cost at the end of first year. What would be the cost of the house site at the end of second year?

A Rs 19,875

B Rs 18,975

C Rs 18,900

D Rs 18,750

Q7. A shopkeeper bought 500 eggs at Rs 4 per 10 eggs. Among them 20 eggs are found broken and 30 eggs spoiled. If he sold the remaining eggs at Rs 0.55 per egg, how much did he gain or lose? Find its percentage.

A47.50,

B47.50,

C46.50,

D46.50,

Q8. What is the difference between the compound interests on Rs.5000 for 1 years at 4% per

annum compounded yearly and half-yearly?

A Rs. 2.04

B Rs. 3.06

C Rs. 4.80



D Rs. 8.30

Q9. Find the compound interest on Rs.15,625 for 9 months at 16% per annum compounded quarterly.

A Rs. 1851

B Rs. 1941

C Rs. 1951

D Rs. 1961

Q10. The difference between simple interest and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is :

A Rs. 2.50

B Rs. 3

C Rs. 3.75

D Rs. 4

Q11. From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the same point, the angle of elevation to the top of the second building is 10 degrees. Then the height of the second building is

A




B

C 200

Dnone of these

Q12. In a right triangle ABC with angle A equal to 90 o, find angle B and C so that sin(B) = cos(B)

A 30°

B 45°

C 60°

Dnone of these

Q13. In a right triangle ABC, tan(A) = 3/4. Then sin(A) + cos(A) =

A

B 1

C

Dnone of these




Q14. Find an exact value (i.e., in terms of surds), for .

A

B

C

D

Q15. Find an exact value (i.e. in terms of surds), for cos (15°).

A

B

C

Dnone of these

Q16. The temperature at which Fahrenheit and the Celsius scale will give numerically equal but opposite sign is

A+ 40 °F and − 40 °C

B+11.43 °F and −11.43 °C


C −11.43 °F and +11.43 °C

D − 40 °F and + 40 °C

Q17. A faulty thermometer reads 10 °C in place of 5 °C and 70 °C in place of 80 °C. What is the freezing point of water according to this thermometer?

A 6 °C

B 8 °C

C 5 °C

D 3 °C

Q18. When the temperature of a metallic coin is raised by 80 °C, its diameter increases by 0.2 %. Then

Aarea of a face of the coin increases by 0.6 %

Bthickness increases by 0.6 %

Cvolume increases by 0.4 %

Dcoefficient of linear expansion of the material is 0.25 × 10–4 °C−1

Q19. A thin copper wire of length L increases in length by 1 % when heated from temperature T 1 to T 2. The

percentage change in area when a thin copper plate having dimensions 2 L × L is heated from T 1 to T 2 is




A 1 %

B 3 %

C 2 %

D 4 %

Q20. Two rods of length l1 and l2 are made of materials whose coefficients of linear expansion are α 1 and α 2. If the difference in the lengths is independent of temperature, then

A

B

C

D

Q21. The brass scale of a barometer gives correct reading at 0 °C. The barometer reads 75 cm at 25 °C. What is the actual atmospheric pressure at 27 °C ? α brass = 19 × 10 −6 °C −1.

A75.401 cm

B75.041 cm

C74.541 cm

D75.104 cm



Q22. A clock with a metallic pendulum is 5 seconds fast each day at 15 °C and 10 seconds slow a day at 30 °C. Find the value of co-efficient of linear expansion for the material of the pendulum.

A3 2 ×⋅ 10−5 °C−1.

B4 3 ×⋅ 10−5 °C−1.

C2 3 ×⋅ 10−5 °C−1.

D2 8 ×⋅ 10−5 °C−1.

Q23. A tungsten wire with a diameter of 0.20 mm is stretched until the tension becomes 50 N. The wire is then clamped to an aluminum rod when both are at a temperature of 150 °C. The tension in the wire when both are brought to a temperature of 20 °C is (Y tungsten = 34 × 10 10 Nm –2, α tungsten = 4.5 × 10 −6 °C −1) (Neglect the

expansion of aluminium rod)

A 6.25 N

B 50 N

C 43.75 N

D 56.25 N

Q24. When heated in copper vessel (γ c), a liquid shows an expansion co-efficient of x and in a silver container

it shows y. The linear expansion co-efficient of the silver container will be

A




B

C

D

Q25. A horizontal tube open at both ends, contains a column of liquid. The length of this liquid column does not change with temperature. Let = coefficient of volume expansion of the liquid and = coefficient of linearα γ expansion of the material of the tube, then

A =γ

2α

B =α

2γ

C =γ

3α

D =α

3γ

Q26. A volume (V) versus absolute temperature (T) graph was obtained as shown, when a given mass of an ideal gas was heated. During the heating process from state 1 to state 2, the pressure

Aremained constant

B decreased

Cchanged erratically

D increased



Q27. A tank of volume 0·1 is filled with oxygen at a gauge pressure of Pa and

temperature

47 °. After sometime, because of a leak, the gauge pressure drops to Pa and the temperature

decreases to 27 °C. The mass of oxygen that has leaked out is about

A 88 g

B 128 g

C 176 g

D 256 g

Q28. Equal masses of three liquids A, B and C have temperature 10 °C, 25 °C and 40 °C respectively. If A and B are mixed, the mixture has a temperature of 15 °C. If B and C are mixed, the mixture has a temperature of 30 °C. If A and C are mixed, the mixture will have a temperature of

A 29 °C

B 25 °C

C 20 °C

D 16 °C

Q29. 250 g of water and equal volume of alcohol of mass 200 g are replaced successively in the same calorimeter and cools from 60 °C to 55 °C in 130 seconds and 67 seconds respectively. If the water equivalent of the calorimeter is 10 g, then specific heat of alcohol is (CW = 1 cal g −1 °C −1)

A1.3 cal g−1 °C−1




B0.67 cal g−1 °C−1

C0.62 cal g−1 °C−1

D0.985 cal g−1 °C−1

Q30. 50 R calories of heat is required to raise the temperature of 4 moles of an ideal gas at constant pressure from 50 °C to 55 °C. The gas may be

A N2

B CO2

C He

D CH4

Q31. When water and carbon dioxide are formed during an exothermic reaction it is a

ASynthesis reaction

BSingle displacement reaction

CCombustion reaction

DDouble displacement reaction

Q32. The ion that is isoelectronic with CO is



A

B

C

D

Q33. Which of the following sets of quantum numbers represent an impossible arrangement?

A

n = 3, l = 2, m= -2, s

=

B

n = 4, l = 0, m = 0, s

=

C

n = 3, l = 2, m = -3, s

=

D

n = 5, l = 3, m = 0, s =

-

Q34. Which of the following statements is correct concerning elements in the periodic table?

AAll the elements in group 13 are metals

BThe halogens are all gasses at room temperature

CElements of group 1 have higher electron affinities than group 17 elements



DElements of group 1 have lower ionisation energies than those of group 17

Q35. Which of the following orbital diagrams violates Aufbau principle?

A

B

C

D

Q36. As principal quantum number n becomes higher, the gap between successive energy levels in an atom

A Decreases

B Increases

CRemains the same

DAre all the same

Q37. The most suitable material to use for photoemission is




A Neon gas

BAluminum oxide

C Caesium

D Fluorine

Q38. The first 4 ionisation energies of an element are 191, 578, 872, and 5962 K cal mol −1. The valency of the element is

A 1

B 2

C 3

D 4

Q39. In general electron affinity has negative values. Electron affinity of noble gasses have positive values because

AThey form only covalent bonds

BThey have stable valence shell configuration and resist addition of electron

CThey are in gaseous state and readily accept extra electron

DHeat is released when they accept electrons



Q40. Which statement about atomic orbitals before hybridisation is not true

AThey can have different sizes

BThey can have different shapes

CThey can have different energies

DThey have to contain 1 electron each

Q41. According to VSEPR theory the geometry of the electron pairs in the valence shell of oxygen in OF 2 molecule would be

A Linear

BTetrahedral

CSquare planar

DOctahedral

Q42. The ideal condition for the formation of a covalent bond is (absolute values of electron affinity must be considered).

ALow ionisation energy and high electron affinity

BHigh ionisation energy and high electron affinity




CHigh ionisation energy and low electron affinity

DLarge difference in electronegativity

Q43. The hybridisation of carbon in diamond, graphite and ethyne are, respectively

Asp3, sp, sp2

Bsp, sp2, sp3

C sp, sp2, sp

D sp3, sp2, sp

Q44. Consider the two reactions given below:

(I) CuSO 4(s)+ 5H 2O(l) CuSO 4.5H 2O(s)

(II) CuSO 4(s) Cu 2+ (aq) + (aq)

The reactions represent, respectively

AHydration and solvation

BSublimation and solvation

CHydration and ionisation

DSolvation and hydration



Q45. Ca(OH) 2 + 2CH 3COOH (CH→ 3COO) 2Ca + 2H 2O is a

AOxidation reaction

Breduction reaction

CNeutralisation reaction

DDehydrogenation reaction

Q46. Which of the following crops would enrich the soil with nitrogen?

A apple

B pea

C paddy

D potato

Q47. In agriculture, broadcasting is used for

Aploughing the fields

Brotating the crops

Cremoving the weeds

Dsowing the seeds



Q48. Fish liver oil is rich in

A A and B

B B and C

C A and D

D only D

Q49. Tomatoes are cultivated by the practice called

Atranspiration

Btranslocation

Ctransportation

Dtransplantation

Q50. The Rhizobium bacteria present in the root nodules of pea plants can fix one of the following from the atmosphere. This one is

Ahydrogen

B oxygen

Cnitrogen




D halogen

Q51. The food obtained from animals is very rich in

A fats

Bcarbohydrates

Cminerals

D proteins

Q52. The Government Agency responsible for purchasing grains from the farmers, safe storage and distribution is

A CBI

B FBI

C FCI

D FDI

Q53. Poultry gives us

A eggs

B meat




Cmeat as well as eggs

D honey

Q54. Which of the following can be used as a food preservative?

Asodium metabisulphite

B citric

Csodium benzoate

Dall the above

Q55. Which of the following disease is not caused by viruses?

A measles

Bsmallpox

C cholera

D polio

Q56. The micro-organisms which can reproduce and multiply only inside the cells of other organisms are

A protozoa




B fungi

Cbacteria

D viruses

Q57. Deforestation increases the level of one of the following in the atmosphere. This one is

A ozone

Bcarbon dioxide

C oxygen

Dwater vapour

Q58. Which of the following is not a part of Pachmarhi Biosphere Reserve?

ABori Wildlife Sanctuary

BSatpura National Park

CBandipur National Park

DPachmarhi wildlife Sanctuary

Q59. Which of the following is not a correct statement for sowing seeds?




Aseeds should be sown at right intervals

Bseeds should be sown at right depth

Cseeds should be sown in dry soil

wet soil

Q60. The National park which is located in Rajasthan is

ACorbett National Park

BKanha National Park

CSatpura National Park

DSariska National Park

Q61.

A

B

C

Dnone of these



Q62.

A

B

C

Dnone of these

Q63. A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.

A 20 kms

B 25 kms

C 45 kms

D 40 kms

Q64. The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream?

A 80

B 180

C 60

D 100



Q65. The difference between the compound interest and the simple interest on a certain sum at 12% p.a. for two years is Rs.90. What will be the value of the amount at the end of 3 years?

A 9000

B 6250

C8530.80

D8780.80

Q66. Three moles of nitrogen and two moles of carbon dioxide are mixed in a container. Calculate of theγ gaseous mixture.

A 1.11

B 0.93

C 1.21

D 1.37

Q67. One gram of water at 10 5 Pa is converted into steam at 100 °C. Volume of 1 gram of steam is 1671 CC. If the latent heat of evaporation is 540lcal, the change in the internal energy due to evaporation is

A 167 cal

B 540 cal

C 500 cal

D 581 cal



Q68. An ideal gas undergoes a thermodynamic cycle as shown. Choose the corresponding p–T graph.

A

B

C

D

Q69. The following are the p–V diagrams of cyclic process for a gas. In which of these processes is heat absorbed by the gas?



A

B

C

D

Q70. Two identical containers A and B with frictionless pistons contain an ideal gas of mass mA and mB respectively at the same temperature, having same Volume V. When gas is allowed to expand isothermally in both A and B to same final volume 2 V, changes in pressure are found to be p andΔ 1.5 p respectively then,Δ

A

B

C

D

Q71. VSEPR theory basically states that


AThe repulsion of atomic nuclei help determine the shapes of covalent molecules

BThe repulsion between electrons helps determine the shapes of covalent molecules

CThe repulsion between bonds helps determine the shapes of covalent molecules

DNone of the statements are correct

Q72.

The graph above shows the trend of first ionisation energy from H (At. No. = 1) to K (At. No. = 19). The elements marked X and Y are, respectively

AOxygen and Sulphur

BFluorine and Chlorine

CChlorine and Bromine

DNitrogen and Oxygen

Q73. The ratio of velocity of the electron in the ground state of Li 2+ and 1 st excited state of He 2+ is

A 3 : 1

B 2 : 3

C 3 : 2

DCannot be determined



Q74. The magnitude of electron affinity of halogens follow the order

AF > Cl > Br > I

BI > Br > Cl > F

CF > Cl > I > Br

DCl > F > Br > I

Q75. The reaction 2P 4 + 12H 2O 5PH→ 3 + 3H 3PO 4 represents

ASolvation

BHydration

CDisproportionation

DAcidification

Q76. The indiscriminate killing of which of the following animals can lead to loss in the production of food grains?

A Birds

B Snakes

CGrasshoppers

D Rats



Q77. One of the following is not a part of the fauna of Pachmarhi Biosphere Reserve. This one is

A yak

B leopard

Cblue bull

Dbarking deer

Q78. Which of the following is an endangered species of animals?

A Dinosaur

BAsiatic lion

CIrish deer

D Hyena

Q79. Which of the following are endangered species? Dodo, Yak, Deer, Black buck, Tiger, Crow, Kashmir stage, Dinosaur, Lion tailed macaque, Snow leopard.

ADodo, Yak, Deer, Black buck, Tiger, Crow, Kashmir stage

BBlack buck, Tiger, Kashmir stage, Lion tailed macaque, Snow leopard.




CCrow, Kashmir stage, Dinosaur, Lion tailed macaque

DBlack buck, Tiger, Crow,Lion tailed macaque, Snow leopard

Q80. Name the causative micro-organisms of the following plant diseases (1) Rust of wheat (2) Citrus canker (3) yellow vein mosai of bhindi (Okra)

A(1) bacteria (2) Fungus (3) virus

B(1) Fungus (2) bacteria (3) Fungus

C(1) Fungus (2) bacteria (3) virus

D(1) Fungus (2) virus (3) bacteria


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