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Class 10 |
MENTAL ABILITY 1.
Both the roots of the equation (x – a)(x – b) + (x – b)(x – c) + (x – c) (x – a) = 0 are real but they are equal only when ________. (B) a = b = c
(C)
a =c b
(D) a – b = 2c
(A) 2b = a + c
2.
A reservoir is in the shape of a frustum of a right circular cone. It is 8 m across at the top and
4 m across at the bottom. It is 6 m deep, its capacity is ________. (A) 224 m3 (B) 176 m3 (C) 225 m3
3.
Ashwini, Priya, Sudha, Rani, Meera, Geeta and Mukta are sitting around a circle facing the centre.
(D) 484 m3
Ashwini is third to the left of Mukta and to the immediate right of Rani. Priya is second to the left
of Geeta, who is not an immediate neighbour of Meera. Who is to the immediate right of Priya? (A) Meera (B) Sudha (C) Mukta (D) Ashwini
4.
Calculate the value of mode for the following frequency distribution. Class
1 - 4 5 - 8 9 - 12 13 - 16 17 - 20 21 - 24 25 - 28 29 - 32 33 - 36 37 - 40
Frequency
2
5
8
9
12
14
14
15
13
11
(A) 24.5
5.
If secq = x +
(A) 2x
6.
In the given diagram, O is the centre of the circle and AC is the diameter. If ∠ADB = 120° and the
(B) 26 1 , then secq + tanq = ________. 4x 1 (B) 2x
(C) 23.5
(D) 29.3
(C) – 2x
(D) Both (A) and (B)
radius of the circle is 6 cm, what is the area of the D ABC?
(A) 18 3 cm2
(B) 24 3 cm2 (C) 27 cm2 (D) Data insufficient
7.
A factory kept increasing its output by the same percentage every year. Find the percentage if it
is known that the output is doubled in the last two years. (B) 100( −1 + 2 )% (C) 50% (A) 50(1 ± 3 )%
8.
The sum of the first six terms of an A.P. is 42. The ratio of the 10th term to the 30th term of A.P.
(D) 84%
1 . Find the 40th term of the A.P. 3 (A) –60 (B) 20
9.
Four points A(6, 3), B(–3, 5), C(4, –2) and D(x, 3x) are given in such way that
find x. 11 3 (A) , 8 8
is
(B)
11 −3 , 8 8
(C) 39
(C)
−11 3 , 8 8
(D) 80
(D)
area(DDBC ) 1 = , area(DABC ) 2
−11 −3 , 8 8
10. Find the values of k for which the following system of equations have infinitely many solutions.
2x + 3y = 7 ; (k + 1) x + (2k – 1)y = 4k + 1 (A) 5
(B) 7
(C) 2
(D)
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11. In the given figure, CD is a direct common tangent to two circles intersecting each other at A and
B, then ∠CAD + ∠CBD = ______. (A) 120° (B) 90° (C) 360° (D) 180°
12. A hemispherical bowl of internal radius 6 cm contains milk. This milk is to be filled into cylindrical shaped small bottles of diameter 6 cm and height 1 cm. How many bottles will be needed to empty
the bowl? (A) 36
(B) 27
(C) 16
(D) 4
13. Cards with numbers 2 to 101 are placed in a box. A card is selected at random from the box. Find the probability that the selected card has a number which is a perfect square.
(A)
11 100
(B)
1 10
(C)
7 100
(D)
9 100
14. A ladder rests against a wall at an angle a to the horizontal. Its foot is pulled away from the wall through a distance a, so that it slides a distance b down the wall making an angle b with the
horizontal. Then, cosa − cosb = ______. sinb − sina a+b (B) 2a + b (A) 2
(C)
a b
(D) 1
15. Showing a photograph Rajeev told Shweta, "His mother is the only daughter of your father." How
is Shweta related to the man in the photograph? (A) Aunt (B) Mother (C) Wife
(D) Daughter
science 16.
What happens to light as it passes from glass into air ? (A) Its frequency decreases because its speed decreases. (B) Its frequency increases because its speed increases. (C) Its wavelength decreases because its speed decreases. (D) Its wavelength increases because its speed increases.
17. In the given figure, a cell is connected in series with an ammeter and three resistors 10 W, 20 W and 30 W. The circuit can be completed by a movable contact M.
When M is connected to X, the ammeter reads 0.6 A.
What is the ammeter reading when M is connected to Y ? (A) 0.1 A (B) 0.2 A (C) 0.3 A
A
10
20 X
M
30
Y
(D) 0.6 A
18. Read the given statements and choose the correct option.
Statement 1: A current carrying loop placed in a uniform magnetic field experiences no net force.
Statement 2: The net charge on a current carrying loop is zero.
(A) (B) (C) (D)
Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1. Both statements 1 and 2 are true, but statement 2 is not the correct explanation of statement 1. Statements 1 is true but statement 2 is false. Statement 1 is false but statement 2 is true.
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Class 10 |
19. Two spherical mirrors (convex and concave) having the same focal length of
36 cm are arranged so that their optical axes coincide. The separation between
the mirrors is 1 m. At what distance from the concave mirror should an object
be placed so that its images formed by the concave and convex mirror
independently are identical in size ? (A) 86 cm in front of concave mirror (C) 56 cm in front of concave mirror
O 1m
(B) 76 cm in front of the concave mirror (D) None of these
20. A weather forecasting plastic balloon of volume 15 m 3 contains hydrogen of density 0.09 kg m–3. The volume of the equipment carried by the balloon is negligible compared to its own volume. The mass of the empty balloon alone is 7.15 kg. The balloon is floating in air of density 1.3 kg m–3.
The total mass of floating body is ________. (a) 22 kg (b) 19.5 kg
(c) 11 kg
(d) 8.5 kg
21. A juggler usually tosses balls vertically to a height H. To what height must they be tossed if they
are to spend twice as much time in the air ? (A) 4 H (B) 2 H
22.
An optician while testing the eyes finds the vision of a patient to be 6/12. By this he means that (A) The person can read the letters of 6 inches from a distance of 12 m. (B) The person can read the letters of 12 inches from 6 m. (C) The person can read the letters from 6 m which the normal eye can read from 12 m. (D) The focal length of eye lens had become half that of the normal eye.
(C) H
(D) H / 2
23. The electric light switch for a bathroom is sometimes fitted on the wall outside the bathroom.
Why is this safer than fitting the switch on the wall inside the bathroom ? (A) The heat from the light affects the switch. (B) The person in the bathroom may be electrocuted if water enters the switch. (C) The switch is less likely to be damaged outside the bathroom. (D) The warm air in the bathroom causes the switch to overheat.
24. Fusion reaction is also known as ______. (A) Chemical reaction (C) Thermonuclear reaction
(B) Elastic reaction (D) Photonuclear reaction
25. A stream of electrons is projected horizontally to the right. A straight conductor carrying a current is supported parallel to the electron stream and above it. If the current in the conductor is from
left (A) (C) (D)
to right, what will be the effect on the electron stream ? The electron stream will be pulled upwards. (B) The electron stream will be pulled downwards. The electron stream will be retarded. The electron stream will speedup towards the right.
26. A particle is moving along a circular path of radius 5 m and with uniform speed 5 m s –1. What will
be the average acceleration when the particle completes half revolution ? (B) 10/p m s–2 (C) 10 m s–2 (D) Zero (A) 10p m s–2
27. Balance the given reaction and find the values of w, x, y and z. Also, identify the type of reaction.
w Potassium bromide(aq) + x Barium iodide(aq) → y Potassium iodide(aq) + z Barium bromide(aq) (A) 1, 1, 1, 1; Double displacement reaction (C) 2, 1, 2, 1; Double displacement reaction
(B) 1, 1, 1, 1; Decomposition reaction (D) 2, 1, 2, 1; Decomposition reaction
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28. Coloured petals of some flowers indicate the presence of acid or base in a solution. Example of
such flowers is (A) Hydrangea
(B) Petunia
(C) Geranium
(D) All of these
29. Study the given table carefully. Substances
Blue litmus solution
Phenolphthalein
Methyl orange
China rose indicator
1.
Wasp's sting
Red
Colourless
Red
Red
2.
Lime water
No change
Pink
Yellow
Green
3.
Spinach
No change
Pink
Yellow
Green
4.
Window cleaner
Red
Colourless
Red
Red
5.
Curd
Red
Colourless
Red
Red
Which of them shows the incorrect change in the colour of indicator s? (A) 1 and 2 (B) 3 and 5 (C) 1, 2 and 3
30.
The (1) (3) (5)
Identify the gases evolved in the above reactions. (A) (1, 5) - CO2, (2) - H2, (3) - Cl2 and H2, (4) - Cl2 (B) (1, 3) - H2 and Cl2, (2) - H2, (4) - Cl2, (5) - CO2 (C) (1) - CO2 and Cl2, (2, 5) - H2, (3) - Cl2, (4) - H2 and Cl2 (D) (1) - H2 and Cl2, (2, 4) - H2, (3, 4) - Cl2
31.
In which reaction does the product have more carbon atoms than the underlined reactant s? (A) A carboxylic acid produced from an alcohol and an oxidising agent. (B) An ester produced from a carboxylic acid and an alcohol. (C) A salt produced from a carboxylic acid and sodium carbonate. (D) Carbon dioxide produced from the complete combustion of propane in oxygen.
following reactions evolve gases along with other products. (2) NaOH + Zn NaHCO3 + HCl (4) MnO2 + HCl NaCl + H2O CH4 + O2
(D) 1, 3 and 4
32. The formulae of four covalent molecules are given. H2O
2.
CO2
3.
CH3OH
4.
CH3COOH
1.
In which pair of molecules does oxygen form at least one double bond? (A) 1 and 2 (B) 1 and 3 (C) 2 and 4 (D) 3 and 4
33. An ester of molecular formula C4H8O2 was produced by the reaction of an alcohol with a carboxylic acid.
Alcohols
Acids
1
Methanol
Propanoic acid
2
Ethanol
Ethanoic acid
3
Propanol
Methanoic acid
Which of the following could be the alcohol and the acid ? (A) 2 (B) 1 and 2 (C) 1 and 3
(D) 1, 2 and 3
34. Many properties of an element and its compounds can be predicted from the position of that
element in the periodic table. What property could not be predicted in this way ? (A) The acidic or basic nature of its oxide (B) The formula of its oxide (C) The number of isotopes it has (D) Its metallic or non-metallic properties
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Class 10 |
35. Elements X and Y are in group VII of the periodic table. X is a liquid while Y is a solid at room
temperature. Which statement is correct ? 1. Atoms of Y have more protons than atoms of X. 2. Molecules of Y have more atoms than molecules of X. – 3. Y displaces X from aqueous solution of X ions. (A) 1 (B) 2 (C) 3
(D) All of them
36. How many different chlorides in total could be prepared by the reaction of dilute hydrochloric acid with the following substances ?
(A) 1
Copper, Magnesium, Silver, Zinc carbonate (B) 2 (C) 3
(D) 4
37. The diagram shows some parts of the periodic table with few elements. Identify the set of two
elements which combine together to form a covalent compound with a formula of the type XY 3. 1 (A) 2 and 3 7 4 (B) 4 and 6 5 2 (C) 5 and 7 3 6 (D) 1 and 7
38. Which metal when attached to an iron pipe immersed in sea water, would prevent rusting of the
iron ? (A) Copper
(B) Lead
(C) Magnesium
(D) Silver
39. The organisms shown in figure can be grouped into two separate groups based on their mode of nutrition.
Which of the following options is correct regarding this? (A) P is an autotroph whereas Q, R and S are heterotrophs. (B) P and R show intracellular digestion while Q and S show extracellular digestion. (C) P and Q are autotrophs while R and S are heterotrophs. (D) P shows intracellular digestion while Q, R and S show extracellular digestion.
40. Read the following statements with respect to the given diagram.
(i) A major amount of carbohydrates is digested in P.
(ii) Chief fat digesting enzyme is present in R.
(iii) Digestion of proteins and fats starts in T.
(iv) Enzymes trypsin and chymotrypsin are produced in S.
(v) Enzyme responsible for curdling of milk is present in P. Which of the above statements are correct?
(A) (i), (ii) and (iv)
(B) (ii) and (v)
(C) (iii), (iv) and (v)
(D) (ii), (iv) and (v)
41. When the Fallopian tubes in a woman are cut and tied, ______. (A) She becomes sterile (B) She stops ovulating (C) She stops producing sex hormones (D) The embryo cannot get implanted in the uterus
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42. Nidhi set up an experiment as shown in the figure. At the start of the experiment, water level in the passing tube was at X, but later on it reached the point Y. Which process occurring in the seeds has lead to the observed change?
(A) Aerobic respiration
(B) Anaerobic respiration
(C) Photosynthesis
(D) Transpiration
43. Refer the given figure which shows a section of plant roots
having a root hair. Which of the following statements is correct for absorption of water to occur ? (A) The water potential of the soil water is zero. (B) The water potential of cell Z is the lowest. (C) The water potential of cell Y is higher than cell X. (D) The water potential of cell Y is lower than cell Z.
44. Refer the given figure which shows part of the urinary system of a mammal.
Liquids pass through tubes X, Y and Z in the directions shown by the arrows. The volume of liquid passing through Y in a day is (A) Greater than that passing through X. (B) Less than that passing through Z. (C) Much less than that passing through X but slightly greater than that passing through Z. (D) Slightly less than that passing through X but much greater than that passing through Z.
45. Refer the given diagram of a typical dicotyledonous seed with
a labelled part Q. Which of the following is correct regarding it? (A) Part Q is well laden with nutrients and serves as a food reserve. (B) The first two leaves seen in a seedling are always formed by part Q. (C) Part Q gives rise to the stem, leaves and parts of shoot system of the new plant. (D) Both (B) and (C)
46. Read the following statements. I. In a food chain, there is multidirectional flow of energy from sun to producers, consumers and decomposers. II. Shorter food chains provide more energy as compared to longer food chains. III. In an ecosystem, no food chain is independent. IV. If 100 joules of energy is available at the producer level, then amount of energy present at the level of secondary consumers is 10 joules. Which of these statements are correct? (A) I and II (B) II and III (C) III and IV (D) I and IV 47. Match phytohormones in Column - I with their respective functions in Column - II and select the
correct option from the codes given below. Column - I Column - II a. Cytokinins (i) Closing of stomata during stress conditions b. Gibberellins (ii) Elongation of stem c. Ethylene (iii) Ripening of fruits d. Abscisic acid (iv) Cell division and cell enlargement (A) a-(iv), b-(i), c-(iii), d-(ii) (B) a-(ii), b-(iv), c-(i), d-(iii) (C) a-(iv), b-(ii), c-(iii), d-(i) (D) a-(ii), b-(iv), c-(iii), d-(i)
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Class 10 |
Read the given statements that Mohit has made during a conversation. (i) I have a strong feeling of hatred for Sudhir. I just cannot tolerate him. (ii) I cannot control sneezing when I enter a dusty place. (iii) I can ride a bicycle in a steady, straight line. (iv) I withdrew my hand when I touched the hot kettle. Refer the given figure and select the correct match of (i), (ii), (iii) and (iv) that are functionally associated with parts labelled as W, X, Y and Z of the human brain. (A) W - (ii) (B) X - (iii) (C) Y - (i) (D) Z - (iii)
49. The given figure shows structure of forelimbs of different organisms which are labelled as P, Q, R and S. Which of the following is incorrect regarding this?
(A) Q and R both are adapted for the same function i.e., flying, thus they are analogous organs.
(B) P and S both have same basic structural plan, thus they are homologous organs. (C) P and Q are adapted for different functions i.e., swimming and flying respectively thus they are analogous organs. (D) None of these
50. The given figure shows a Kundi i.e., a traditional rainwater
harvesting system used in India. Which of the following statements is incorrect regarding this? (A) Surface view of the entire structure resembles an upturned cup put on a saucer. (B) X is made up of an impervious material in order to prevent percolation of rainwater into the ground. (C) The Kundi technology was developed by people of Rajasthan's Thar desert. (D) This technology can be further improved by removing W and Y as they reduce the amount of rainwater reaching the storage well. SPACE FOR ROUGH WORK
