Question 1 1.2 / -0
Directions: Find the missing term in the following series. 10, 37, 101, 226, ?
Solution
The series is going up in cubes of continuous numbers, starting with the cube of 3. 10 + 33 = 37 37 + 43 = 101 101 + 53 = 226 226 + 63 = 442
Question 2 1.2 / -0
In a certain code language, EMPTY is coded as FOSXD. How will STRING be coded in that language?
Solution
EMPTY is coded as FOSXD using the pattern:- E + 1 = F M + 2 = O P + 3 = S T + 4 = X Y + 5 = D In the same way, STRING will be coded as TVUMSM:- S + 1 = T T + 2 = V R + 3 = U I + 4 = M N + 5 = S G + 6 = M
Question 3 1.2 / -0
A person is walking towards west. After walking for 30 m, he turns to his right and walks 20 m more. After that, he turns towards west and walks 40 m. Finally he turns to his left and again walks 20 m. How far is he now from the starting point?
Solution
S = Start point and E = End point.
Question 4 1.2 / -0
Two positions of a dice are given. Which number would be at the top when 2 is at the bottom?
Solution
∴ Number 3 appears on the same face. Hence, 2 is opposite to number 6 and 5 is opposite to number 1.
Question 5 1.2 / -0
Directions: Complete the following analogy. EFRT : GJXB : : DNSL : ?
Solution
The relation between EFRT and GJXB is as follows:- E + 2 = G F + 4 = J R + 6 = X T + 8 = B In the same way, DNSL : FRYT D + 2 = F N + 4 = R S + 6 = Y L + 8 = T
Question 6 1.2 / -0
Directions: Find the mirror image of the following.
Solution
The mirror image is as shown below:-
Question 7 1.2 / -0
Directions: Select the missing part of the following figure.
Solution
The complete figure is as follows:
Question 8 1.2 / -0
What is the minimum number of straight lines which can be used to draw the following shape?
Solution
The minimum number of straight lines needed to draw the given shape is 8.
Question 9 1.2 / -0
Directions: Find the figure from the following options which satisfies the same conditions of placement of dots as given in figure X.
Solution
In figure X, one of the dots lies in the area common to the circle and square, and the other dot lies in the area common to the circle, square and the triangle.
In option figure 1, there is no area which is common between square and the circle only, in options 2 and 3, there is no area common to the circle, square and the triangle. So the correct option is 4.
Question 10 1.2 / -0
Directions: Find the water image of the following.
Solution
The water image is as follows:-
Question 11 1.2 / -0
Which of the following statements about the given reaction is/are not correct?
Fe(s) + CuSO
4 (aq)
FeSO
4 (aq) + Cu(s)
I. CuSO
4 is getting reduced.
II. CuSO
4 is acting as a reducing agent.
III. Fe is acting as a reducing agent.
IV. Fe is getting oxidised.
Solution
Fe(s) + CuSO
4 (aq)
FeSO
4 (aq) + Cu(s)
The given reaction is a displacement reaction as well as a redox reaction.
The Cu
+2 ion in CuSO
4 is reduced to Cu. Hence, CuSO
4 is acting as an oxidising agent.
Fe is getting oxidised to Fe
+2 in FeSO
4 . Hence, Fe is acting as a reducing agent.
Therefore, statements II and IV are incorrect.
Question 12 1.2 / -0
For general consideration: In an acidic solution, [H3 O+ ] > [OH- ] and pH < 7. In a basic medium, [H3 O+ ] < [OH- ] and pH > 7. Which of the following statements about pH and H+ ion concentration is incorrect?
Solution
CH
3 COOH is a weak acid, while NaOH is a strong base.
Therefore, the salt formed is basic and the solution will have a pH greater than 7.
Hence, the statement in option (2) is incorrect.
All the other given statements are correct.
Question 13 1.2 / -0
Which of the following is a monoacidic base and a weak alkali?
Solution
The bases which dissociate in aqueous solution to produce one mole of hydroxyl ion per mole of the base are called monoacidic bases.
For example, NaOH, KOH and NH
4 OH
NaOH
Na
+ + OH
- Ammonium hydroxide is a monoacidic base and can exist as either NH
3 and H
2 O or NH
4 + and OH
- through a reversible reaction.
When ammonium hydroxide is allowed to reach equilibrium, far more NH
3 and H
2 O exist compared to NH
4 + and OH
- , so the concentration of OH
- is low; hence, ammonium hydroxide is considered to be a weak alkali.
Question 14 1.2 / -0
Which of the following statements regarding metals and non-metals is/are correct? I. Metals have 1 to 3 electrons in their valence shell and non-metals have 4-8 electrons in their valence shell. II. Metallic oxides form acids on reaction with water and non-metallic oxides form bases. III. Among the metals, the less electropositive metals displace the more electropositive metals from their salt solutions. IV. Non-metals lose electrons from their valence shell to attain a stable configuration and form cations. V. Metals like Au and Pt also form oxides readily.
Solution
The correct statements are as follows: I. Metals have 1 to 3 electrons in their valence shell and non-metals have 4-8 electrons in their valence shell. II. Metallic oxides form bases on reaction with water and non-metallic oxides form acids on reaction with water. III. Among the metals, the more electropositive metals displace the less electropositive metals from their salt solutions. IV. Non-metals accept electrons to attain a stable configuration and form anions. V. Metals like Au and Pt are less reactive and do not form oxides. Hence, option (1) is correct.
Question 15 1.2 / -0
Which of the following is a non-commercial conventional source of energy?
Solution
Non-commercial energy sources include fuel wood, straw and dried dung. These are commonly used in rural India. According to an estimate, the total availability of fuel wood in India was only 50 million tonnes a year. It is less than 50% of the total requirement. In coming years, there would be a shortage of firewood.
Question 16 1.2 / -0
Which of the following chemical equations represents a precipitation reaction?
Solution
In precipitation reactions, when a product formed by the displacement of anion or cation in the solution surpasses its point of saturation, then it precipitates as solid at the bottom of the solution.
For example, 2KI + PbSO
4 PbI
2 + K
2 SO
4 Here, lead and potassium are displaced from their compounds to form lead iodide that precipitates at the bottom of the container.
Question 17 1.2 / -0
Which of these options represents denatured spirit?
Solution
Denatured alcohol is ethanol made unfit for human consumption by adding one or more chemicals (denaturants) to it. The additive may be any of the substances like methanol, copper sulphate, pyridine, etc. This practice is carried out to prevent the misuse of ethanol as an industrial raw material. Since the additives are added in a small quantity, option (2) is correct.
Question 18 1.2 / -0
The following figure represents a chemical reaction, which can be categorised as a:
a. Decomposition reaction
b. Combination reaction
c. Displacement reaction
d. Oxidation reaction
Solution
S(s) + O
2 (g)
SO
2 (g)
This is a combination reaction as two reactants combine to give one product.
It is a redox reaction as sulphur is getting oxidised and oxygen is getting reduced.
Question 19 1.2 / -0
What is the chemical name for Vitamin C?
Solution
Vitamin C is also known as ascorbic acid or L-ascorbic acid. It is a vitamin found in fresh fruits and vegetables, particularly citrus fruits and also taken as a dietary supplement.
Question 20 1.2 / -0
Which of the following is not a limitation of Mendeleev's periodic table?
Solution
The limitations of Mendeleev's periodic table are as follows: 1. Anomalous pairs, e.g. Co is placed before Ni even though Ni has a lower atomic mass. 2. Position of hydrogen is controversial as it resembles both alkali metals and halogens in many characteristics. 3. Position of isotopes is controversial as they were given the same slot, even though they have different atomic masses. However, the noble gases could be accommodated in Mendeleev's table when they were discovered without disturbing the existing order.
Question 21 1.2 / -0
Strips of metal X were dipped into two solutions as shown:
A greyish metallic deposit was found on both the strips. Which of the following could be metal X?
Solution
Metals that are more reactive can displace the less reactive metals from their salt solution.
Reactivity series: K, Na, Ca, Mg, Al, Zn, Fe, Sn, Pb, [H], Cu, Hg, Ag, Au, Pt
The observation in the given activity that a grey deposit is seen in both the beakers indicates that metal 'X' is more reactive than both silver (Ag) and zinc (Zn) and can displace these metals from their salt solutions.
'X' is aluminium (Al).
Question 22 1.2 / -0
Which of the given elements A, B, C, D and E respectively with atomic numbers 2, 3, 7, 10 and 20 belong to the same period?
Solution
Element's Code Atomic Number (Z) Element's Name Electronic Configuration A 2 Helium 2 B 3 Lithium 2, 1 C 7 Nitrogen 2, 5 D 10 Neon 2, 8 E 20 Calcium 2, 8, 8, 2
B (lithium), C (nitrogen) and D (neon) have two occupied shells and all belong to the second period of the modern periodic table.
Hence, option (2) is correct.
Question 23 1.2 / -0
In a certain population of rabbits, there are two alleles for coat colour, brown and white. Brown is dominant and white is recessive. Wolves are also present in the area and rabbits constitute a major portion of their diet. If the climate were to change such that snow covered the ground for much of the time, what change would you expect from the options given below?
Solution
In order to survive, there will be genetic variation in the allele frequency. As an adaptive response for camouflage, the frequency of white allele will increase. The rabbits with white fur will be better camouflaged than the rabbits with brown fur. Hence, the frequency of white allele will increase.
Question 24 1.2 / -0
The transmission of a nerve impulse across a synapse occurs by
Solution
Synaptic transmission relies on the availability of the neurotransmitter; the release of the neurotransmitter by exocytosis; the binding of the postsynaptic receptor by the neurotransmitter; the functional response of the postsynaptic cell; and the subsequent removal or deactivation of the neurotransmitter.
Question 25 1.2 / -0
Phagocytosis is the ingestion of bacteria or other material by phagocytes and amoeboid protozoans. High abundance of which of the following organelles in their cytosol will help in the process?
Solution
Phagocytosis is an energy requiring process. The mitochondria is responsible for the production of ATP. Hence, high number of mitochondria gives enough energy for the process.
Question 26 1.2 / -0
In some organisms, the unfertilised egg can develop into a new individual. What is this development without fertilisation called?
Solution
In some organisms, the unfertilised egg can develop into a new individual. This type of development without fertilisation is called parthenogenesis. Examples: Rotifers, drones of honeybees, etc.
Question 27 1.2 / -0
Study the tables related to blood sugar levels.
Malfunctioning of which organ is responsible for the disease that can be inferred by the data given above?
Solution
The disease that can be inferred from the given data is diabetes. Diabetes is caused due to insufficient production of insulin by the beta cells of the pancreas.
Question 28 1.2 / -0
Study the flow chart given below.
Choose the option that gives the correct inference about the information given above.
Solution
When the calcium level is high in the bloodstream, the thyroid gland releases calcitonin. Calcitonin slows down the activity of the osteoclasts found in bone. This decreases blood calcium levels. When calcium levels decrease, this stimulates the parathyroid gland to release parathyroid hormone. This increases the calcium levels. Thus, PTH and CT (calcitonin) act antagonistically to each other.
Question 29 1.2 / -0
The diagram of the human heart is given below.
Choose the option that correctly identifies X, Y and Z.
Solution
The correct identification is:
X: Inferior vena cava
Y: Left pulmonary artery
Z: Aorta
Question 30 1.2 / -0
Which property makes CO2 an effective heat-trapping greenhouse gas?
Solution
The ability to absorb and re-emit infrared energy makes CO2 an effective heat-trapping greenhouse gas.
Question 31 1.2 / -0
A person with blood type AB has
Solution
Individuals with blood group AB have both A and B antigens on the surface of red blood cells. No antibodies are present in the plasma of the individual having blood group AB.
Question 32 1.2 / -0
What is the full form of OTEC with context to energy?
Solution
OTEC stands for Ocean Thermal Energy Conversion. The difference in temperature between warm surface waters heated by the sun and colder waters found at ocean depths is another form in which solar energy becomes available from the oceans. This is called ocean thermal energy.
Question 33 1.2 / -0
What is a biodiversity hotspot?
Solution
A biodiversity hotspot is a biogeographic region with a significant reservoir of biodiversity that is under threat from humans. A hotspot is an area which faces serious threat from human activities and supports a unique biodiversity (endemic, threatened, rare species) with representatives of evolutionary of speciation and extinction.
Question 34 1.2 / -0
The angle of minimum deviation from a prism is 30°. If the angle of prism is 60°, then what is the refractive index of the material of the prism?
Solution
Let the refractive index of prism be μ.
Using the prism formula,
As
,
Or μ = 1.414
Question 35 1.2 / -0
What is the pigmented vascular layer of the eyeball between the retina and the sclera called?
Solution
Choroid is the pigmented vascular layer of the eyeball between the retina and the sclera.
Question 36 1.2 / -0
An object is moving towards a plane mirror with speed 'v' and the mirror is also moving towards the object with speed 'v'. The speed of the image as observed by the object will be
Solution
The speed of the image with respect to the observer is twice the speed of the mirror if the object is stationary. If the object is also moving, then v is added in the given speed. vio = v + 2v = 3v
Question 37 1.2 / -0
A thin prism of angle 15° gives a deviation of 6°. What is the refractive index of the material of the prism?
Solution
Here, angle of prism, A = 15°
Angle of deviation,
= 6°
Refractive index,
= ?
We know
δ = (μ - 1)A
Or
So, μ = 1 + 0.4 = 1.4
Question 38 1.2 / -0
If a beam of yellow light having wavelength 600 nm travelling in vacuum enters a glass slab having refractive index 1.5, then which of the following statements is/are true? (A) Its wavelength remains the same. (B) Its wavelength becomes the same as that of blue colour. (C) Energy of the photons remains the same. (D) Energy of the photon decreases.
Solution
During refraction, there is no change in the frequency of light.
Energy of the photons is given by E = hf, where h is Planck's constant and f is frequency.
Refractive index is given by
, where λ
0 is the wavelength of the light in vacuum and λ is the wavelength of the light in medium.
This wavelength corresponds to blue colour.
Question 39 1.2 / -0
A person suffering from long sightedness can see distant objects clearly but cannot see the nearby objects with the same clarity. This is because
Solution
When the eye lens focusses the image behind the retina, the person suffering from long sightedness can see distant objects clearly but cannot see the nearby objects with the same clarity.
Question 40 1.2 / -0
Consider the following circuit:
How would the readings of the voltmeter and the ammeter change when identical resistance is connected in parallel with the given resistance?
Solution
Case I: (When resistance is not connected)
Let I be the current in the circuit.
Reading of the voltmeter, V = IR
Case II: (When resistance is connected in parallel with the given resistance)
Equivalent resistance of the circuit will become
, the current in the circuit is I'.
Reading of the voltmeter is V'.
Hence, the reading of the voltmeter will remain the same and the reading of the ammeter will increase.
Question 41 1.2 / -0
What is the current drawn by an electric heater rated at 500 W, 200 V, when connected to 100 V source?
Solution
Resistance of the bulb is calculated as:
Current consumed by the heater is I when connected across 100 V source.
Question 42 1.2 / -0
What is the effective resistance between A and B for the given circuit?
Solution
The given circuit is
The two resistance of 2R each across A and C are connected in the parallel whose equivalent resistance is R.
The resistances R and 2R across C and D are in series and equivalent resistance across C and D is 3R.
Hence, the equivalent resistance across A and D is 4R.
Then, equivalent resistance across A and B,
Question 43 1.2 / -0
Which of the following is used to reverse the direction of current in a DC motor?
Solution
In order to produce unidirectional force (or torque) on the armature conductors of a motor, the conductors under any pole must carry the current in the same direction at all times. The function of commutator and brush gear in a DC motor is to cause the reversal of current in a conductor as it moves from one side of a brush to the other.
Question 44 1.2 / -0
Which of the following materials can be used to increase the intensity of the magnetic field in an electromagnet?
Solution
A soft iron core can be used to increase the intensity of the magnetic field in an electromagnet because soft iron core is a magnetic material. When the magnetic field lines of the electromagnet pass through the iron core, it gets magnetised. Hence, the total magnetic field in the electromagnet is the sum of the magnetic field due to the iron core and the magnetic field also due to the electric current in the coil.
Question 45 1.2 / -0
The amount of solar energy reaching the periphery of the Earth's atmosphere is considered to be constant for all practical purposes, and is known as the solar constant. What is its value?
Solution
The amount of energy that reaches the Earth's surface from the sun per second per unit area is called solar constant. It is usually taken to be 1,388 J per square metre, or 1.40 kJ (approximately).
Question 46 1.2 / -0
Solid calcium oxide reacts vigorously with water to form calcium hydroxide and the vessel becomes hot in the process. This process is known as slaking of lime. Again, calcium hydroxide dissolved in water to form its solution is called lime water. Which among the following statements are true about slaking of lime and the solution formed? (I) It is an exothermic reaction. (II) CaO is neutral, but Ca(OH)2 is an alkali. (III) The pH of the resulting solution is greater than 7. (IV) The pH of the solution formed when equal quantities Ca(OH)2 and HCl are mixed is less than 7.
Solution
Since heat is liberated in the process, the reaction is exothermic.
Ca(OH)
2 is an alkali, so the solution is basic and will turn red litmus blue. Hence, the pH of lime water is more than 7.
CaO is a basic oxide.
CaCl₂ is a salt of strong acid (HCl) and strong base (Ca(OH)
₂). An aqueous solution of CaCl
2 will be neutral and the pH will be equal to 7.
Hence, only statements I and III are correct.
Question 47 1.2 / -0
An object is approaching the concave mirror having focal length F. An object is approaching the mirror very far away from the centre of curvature. Based on above information, match the entities of Column A with the entities of Column B.
Column A Column B I.Speed of the object is more than the speed of the image. a.Object is at 2F. II. Size of the erectimage is more than the size of the object. b.Object is beyond 2F. III.Size of the image is the same as the size of the object. c.Object is in between F and 2F. IV.Speed of the image is more than the speed of the object. d.Object is between pole and F.
Solution
1. When the object is at infinity, the image is formed at F as the object approaches the mirror. When it is at 2F, its image is formed at 2F. In this case, the distance travelled by the image is just F (2F - F) as the object moves from infinity to 2F. Hence, the distance travelled by the object is more as compared to its image, so the speed of the object is more than the speed of its image. 2. When the object is at centre of curvature, its real and inverted image of the size as that of the object is formed at the centre of curvature. 3. When the object is in between pole and F, virtual and enlarged image is formed. 4. When the object is at centre of curvature, its real and inverted image of the size as that of the object is formed at the centre of curvature and when the object is at F, its image is formed at infinity. As the object moves form 2F to F, its image moves from 2F to infinity. Hence, the distance travelled by the object is less as compared to its image, so the speed of the object is less than the speed of its image.
Question 48 1.2 / -0
Observe the diagram given below.
Choose the incorrect statement regarding A, B, C and D.
Solution
A represents stigma. B represents pollen tube. C represents the ovary. The ovary ripens and develops into a fruit. The ovule develops into a seed. D represents female germ cell.
Question 49 1.2 / -0
Analyse the two statements given below and select the correct option.Statement I: Soaps are sodium salts of higher fatty acids.Statement II: Sodium chloride is one of the chief materials used for the preparation of soap.
Solution
Soaps are sodium or potassium salts of higher fatty acids. They are prepared by heating vegetable oils (esters of higher fatty acids) with alkalies (NaOH or KOH).
Vegetable oils + NaOH
Soap + Glycerol
This reaction is called saponification.
Once soap is formed, NaCl is added to help in precipitation of the soap.
Hence, both statements I and II are correct, but statement II is not the correct reason for I.
Question 50 1.2 / -0
A bar magnet is released into a copper ring which is directly below it. What is true about the acceleration of the magnet?
Solution
The acceleration is less than 'g' since the falling magnet will generate an induced current in the copper ring and the induced current will oppose the motion of the magnet.