Held in 2025
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Take this paper as a timed mock test. Review your answers after you submit.
Read the paper at your pace. Open an explanation when you need it.
If a body at rest is dropped from a certain height and takes 4 seconds to reach the ground, what is the approximate height from which it was dropped? (Take g = 10 m/s²)
40 meters
100 meters
80 meters
160 meters
Correct answer
40 meters
P is the brother of W. W is the father of R. T is the father of J. J is the son of R. How is T related to P?
Daughter's husband
Daughter's son
Brother's daughter's husband
Brother's daughter's son
Correct answer
Daughter's husband
What should be done in order to minimise waste production?
Use non-biodegradable products
Change and adapt sustainable lifestyle
Increase plastic usage
Maximise plastic packaging of products
Correct answer
Use non-biodegradable products
Which rivers have contributed to the formation of the Northwestern Plains of India?
Krishna, Godavari, and Kaveri
Satluj, Beas, and Ravi
Narmada, Tapti, and Mahanadi
Ganga, Yamuna, and Brahmaputra
Correct answer
Krishna, Godavari, and Kaveri
A dentist uses a mirror to obtain a large image of a patient’s tooth. Which mirror should the dentist use and why?
Concave mirror, because it gives a magnified image
Spherical mirror, because it gives a virtual image
Convex mirror, because it gives a magnified image
Plane mirror, because it gives a real image
Correct answer
Concave mirror, because it gives a magnified image
Express \( 5.97\bar{3} \) as a vulgar fraction.
\( 5\frac{229}{255} \)
\( 5\frac{319}{215} \)
\( 5\frac{219}{225} \)
\( 5\frac{319}{225} \)
Correct answer
\( 5\frac{229}{255} \)
Ozone shields the surface of the Earth from which type of radiation coming from the Sun?
Ultra violet
White light
X rays
Infra-red
Correct answer
Ultra violet
19 is related to 287 following a certain logic. Following the same logic, 23 is related to 347. To which of the following is 28 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
420
426
422
424
Correct answer
420
The roots of the equation \( ax^3 - 24x^2 + 188x - 480 = 0 \) are three consecutive even natural numbers. The value of a is _____.
3
4
1
2
Correct answer
3
Utkal Diwas', which was celebrated on 1st April 2025, marks the anniversary of the statehood of __________.
Telangana
Odisha
Chhattisgarh
Uttarakhand
Correct answer
Telangana
Akshay has borrowed an amount of ₹440000 from a bank to start a business. How much simple interest (in ₹) will he pay at a rate of 5% per annum after 4 years?
78000
89000
87000
88000
Correct answer
78000
By the late 1960s, what major achievement did India attain in agriculture?
Stopped using fertilizers
Became self-sufficient in food grains
Shifted entirely to organic farming
Started exporting food grains
Correct answer
Stopped using fertilizers
In what ratio should sugar costing ₹34/kg be mixed with sugar costing ₹58/kg so that by selling the mixture at ₹52.80/kg, there is a profit of 32%?
5 : 3
5 : 2
7 : 3
3 : 1
Correct answer
5 : 3
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)
(13, 91, 27)
(19, 133, 39)
(29, 210, 57)
(25, 175, 50)
(20, 140, 41)
(26, 130, 53)
Correct answer
(29, 210, 57)
If 14.8 : x :: x : 3.7 and x > 0, then find the value of x.
12.9
4.1
11.4
7.4
Correct answer
12.9
Plant diseases are caused by pathogens transmitted through:
Fertilisers and manure only
Crop residues alone
Sunlight exposure
Soil, water and air
Correct answer
Fertilisers and manure only
Which of the following objectives is stated in Article 38 of the Indian Constitution?
To guarantee employment to all citizens
To provide equal education opportunities for all
To establish military rule for national security
To establish a social order based on justice—social, economic, and political
Correct answer
To guarantee employment to all citizens
Mr. W travelled 425 km, 946 km and 340 km at a speed of 5 km/hr, 43 km/hr and 34 km/hr, respectively. Find his average speed in km/hr.
\( 14 \frac{73}{117} \)
\( 14 \frac{70}{117} \)
\( 14 \frac{75}{117} \)
\( 14 \frac{71}{117} \)
Correct answer
\( 14 \frac{73}{117} \)
Which of the following articles is INCORRECTY matched with the Constitutional Provisions related to Parliament ?
Article 99 ---Composition of the Council of States/Rajya Sabha
Article 93 ----Speaker and Deputy Speaker of the House of People
Article 89---- Chairman and Deputy Chairman of Council of States
Article 105--- Powers and Privileges of the Houses of Parliament
Correct answer
Article 99 ---Composition of the Council of States/Rajya Sabha
Which of the following folk dances is performed to celebrate a good harvest and is popular in the states of Odisha and Chhattisgarh?
Karma
Rouf
Bhangra
Garba
Correct answer
Karma
A car suddenly changes direction while moving at constant speed. Which aspect of inertia is being demonstrated, and how does the car’s mass influence this effect?
The inertia of rest is demonstrated, and the car’s mass does not affect direction changes.
Mass only affects speed, not direction, when a car turns.
The inertia of speed is demonstrated, and a lighter car resists direction change more.
The inertia of direction is demonstrated, and a car with greater mass will resist the change in direction more.
Correct answer
The inertia of rest is demonstrated, and the car’s mass does not affect direction changes.
A regular hexagon is inscribed in a circle. If the length of the shortest diagonal of the hexagon is 12 cm, find one-sixth of the area (in cm²) of the region lying between the circle and the hexagon.
\( 6(3\pi - 2\sqrt{3}) \)
\( 6(2\pi - 3\sqrt{3}) \)
\( 4(2\pi - 3\sqrt{3}) \)
\( 4(3\pi - 2\sqrt{3}) \)
Correct answer
\( 6(3\pi - 2\sqrt{3}) \)
Find the ratio between the fourth proportional of 8, 12 and 4, and the third proportional of 6 and 9.
5:11
9:13
4:9
7:11
Correct answer
5:11
A farmer wants to plant 95 mango trees, 171 banyan trees, and 152 banana trees in equal rows (in terms of the number of trees). Also, he wants to create distinct rows of trees, with only one type of tree in each row. Find the minimum number of rows required.
19
18
23
22
Correct answer
19
The Five Ps of Sustainable Development are:
People, Peace, Prosperity, Planet, Partnership
Poverty, Peace, Protection, Plant, Product
Population, Peace, Production, Power, Partnership
People, Peace, Power, Planet, Partnership
Correct answer
People, Peace, Prosperity, Planet, Partnership
What is the sign of the focal length for a convex lens as per the sign convention for spherical lenses?
Zero
Variable
Negative
Positive
Correct answer
Zero
In a certain code language,
A + B means ‘A is the daughter of B’
A – B means ‘A is the brother of B’
A x B means ‘A is the wife of B’
A ÷ B means ‘A is the father of B’
Based on the above, how is E related to K if ‘E – F + G x H ÷ K’?
Husband
Father
Son
Brother
Correct answer
Husband
The average of the first 18 positive multiples of 11 is:
104.5
11
18
99
Correct answer
104.5
Seven boxes, D, E, F, G, H, W and X, are kept one over the other, but not necessarily in the same order.
Only H is kept above E. Only D is kept between E and G. Only F is kept below X.
How many boxes are kept between W and E?
One
Three
Four
Two
Correct answer
One
A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements carefully and decide the appropriate answer.
Question: 5 people, P, Q, X, Y and Z, have an exam on different days of the same week between Monday and Friday. Who has an exam on Thursday?
Statements:
I. P has an exam on Wednesday. Only one person has an exam between P and Q. Z has an exam immediately before X.
II. No one has an exam between P and Y. Only two people have an exam between Y and X. Z does not have an exam on Monday.
Data in statement II alone is sufficient to answer the question while data in statement I is not
Data in statements I and II together is not sufficient to answer the question
Data in statements I and II together (and not statement I alone or statement II alone) is sufficient to answer the question
Data in statement I alone is sufficient to answer the question while data in statement II is not
Correct answer
Data in statement II alone is sufficient to answer the question while data in statement I is not
Simar starts from Point A and drives 10 km towards south. He then takes a right turn, drives 7 km, turns right and drives 12 km. He then takes a right turn and drives 9 km. He takes a final right turn, drives 2 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again?
(All turns are 90 degree turns only unless specified.)
2 km to the west
2 km to the east
3 km to the east
3 km to the west
Correct answer
2 km to the west
Which waste based difference between the renal artery and renal vein is directly related to excretory function?
The renal artery has more valves
The renal vein has higher pressure
The renal vein contains more oxygen
The renal artery contains more urea
Correct answer
The renal artery has more valves
How do check-dams help in improving agricultural water availability and soil quality?
They increase groundwater levels and reduce soil erosion.
They store water only for city use, and reduce soil erosion.
They divert water away from farms and increase soil erosion.
They directly irrigate fields with river water and increase soil erosion.
Correct answer
They increase groundwater levels and reduce soil erosion.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All apples are mangos.
All mangos are balls.
No ball is a cat.
Conclusions:
(I): No apple is a cat.
(II): Some balls are apples.
Both conclusions (I) and (II) follow
Neither conclusion (I) nor (II) follows
Only conclusion (I) follows
Only conclusion (II) follows
Correct answer
Both conclusions (I) and (II) follow
Which of the following everyday mixtures is best classified as a suspension?
Chalk powder mixed with water
Sugar completely dissolved in water
Copper sulphate dissolved in water
Salt solution prepared in water
Correct answer
Chalk powder mixed with water
How do rays parallel to the principal axis behave after reflection from a convex mirror?
They pass through the centre of curvature.
They actually converge at the focus.
They appear to diverge from a point on the principal axis.
They get reflected back along the same path.
Correct answer
They pass through the centre of curvature.
Why are brackets used in the formula Ca(OH)₂?
To balance oxygen atoms
To show ionic nature
To represent molecular bonding
To indicate two hydroxide groups
Correct answer
To balance oxygen atoms
Refer to the following letter, number, symbol series and answer the question that follows. (NOTE: All numbers are single digit numbers only) Counting to be done from left to right only.
(Left) H 9 & 3 L ! 6 M $ 7 R @ 4 C % 2 F # 5 K * 8 P (Right)
How many such symbols are there, each of which is immediately preceded by a number and also immediately followed by another symbol$?
One
None
Two
Three
Correct answer
One
Which region is the Sarhul festival, orgainsed on 1st April 2025, particularly significant in?
The Himalayan region
The Chhotanagpur region and Jharkhand
The southern states of India
The coastal regions of India
Correct answer
The Himalayan region
If \( 14 \sin Y + \cos Y = \sqrt{14} \sin Y \), then find the value of tanY.
\(\frac{-14 - \sqrt{14}}{187}\)
\(\frac{-14 - \sqrt{14}}{192}\)
\(\frac{-15 - \sqrt{14}}{182}\)
\(\frac{-14 - \sqrt{14}}{182}\)
Correct answer
\(\frac{-14 - \sqrt{14}}{187}\)
If the current in a wire is 2 amperes, how much charge flows through a cross-section in 5 seconds?
7 coulombs
10 coulombs
2.5 coulombs
0.4 coulombs
Correct answer
7 coulombs
Why are metals such as sodium and calcium extracted by electrolytic reduction instead of heating with carbon?
They decompose when heated with carbon
They have greater affinity for oxygen than carbon
They form unstable oxides at high temperature
They exist only as molten chlorides in nature
Correct answer
They decompose when heated with carbon
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.)
(133,5,23)
(107,1,18)
(75,9,4)
(18,24,1)
(10,22,2)
(76,20,16)
Correct answer
(75,9,4)
A student uses a convex lens to project an image of a tree onto a wall. If the image is found to be smaller than the tree, what can be inferred about the tree's position relative to the lens?
The tree is at the focal point of the lens.
The tree is between the lens and its focal point.
The tree is at twice the focal length from the lens.
The tree is placed beyond twice the focal length (beyond 2F) of the lens.
Correct answer
The tree is at the focal point of the lens.
Girish scored 695 marks in an examination and was 17 marks short of 89% of the maximum marks. In the same examination, his friend scored 688 marks. What is the percentage of marks scored by his friend?
83%
84%
87%
86%
Correct answer
83%
Which of the following tissues ensures that food made in the leaves is delivered to all plant parts?
Phloem
Mesophyll
Xylem
Epidermis
Correct answer
Phloem
In a micelle, which part faces outward toward water?
Non-polar end
Grease molecule
Ionic head
Hydrocarbon tail
Correct answer
Non-polar end
Seven people, F, J, M, L, R, V and X, are sitting in a row, facing north.
Only three people sit to the left of X. Only M sits to the right of R. Only three people sit between R and V. J sits at some place to the left of L but at some place to the right of F.
How many people sit to the left of V?
2
3
4
1
Correct answer
2
Select the pair which follows the same pattern as that followed by the two set of pairs given below. Both pairs follow the same pattern.
JKK : KFH
HVO : IQL
OOP : PJM
CUK : DPG
CPR : DKN
FJL : GDI
Correct answer
OOP : PJM
Refer to the following letter, number and symbol series and answer the question that follows.
(Left) H @ $ V 1 B 2 C N E T U 8 6 % # L C N Q A (Right)
If all the letters are dropped from the series, which of the following will be fifth from the left$?
2
%
6
8
Correct answer
2
D, R, A, W and S have different marks. Only one person has scored between A and R. Only one person has scored between R and W. S has scored more than R and W.
How many people have scored less than D?
Two
One
Three
Four
Correct answer
Two
What is the primary composition of the stable composite developed by IIT Mandi that prevents 2D semiconductors from degrading?
Boron nitride mixed with epoxy resin
Tungsten disulfide (WS) encapsulated in polydimethylsiloxane (PDMS)
Graphene combined with silicone
Carbon nanotubes embedded in polymer matrix
Correct answer
Boron nitride mixed with epoxy resin
What should come in place of the question mark (?) in the given series?
2 16 44 100 212 ?
436
435
433
430
Correct answer
436
Based on the English alphabetical order, three of the following four letter cluster pairs are alike in a certain way and thus form a group. Which is the one that does not belong to that group?
(Note: The odd man out is not based on the number of consonants/vowels or their position in the letter cluster.)
SQ−NL
AY−VT
LJ−GE
KI−EF
Correct answer
SQ−NL
When using the sign convention for spherical mirrors, which direction along the principal axis is considered positive?
To the left of the origin (along - x-axis)
To the right of the origin (along + x-axis)
Downwards from the principal axis
Upwards from the principal axis
Correct answer
To the left of the origin (along - x-axis)
Which of the following is/are correct about Tej Bahadur Sapru?
I. He helped Annie Besant to build up the Central Hindu College at Banaras.
II. He entered politics during the Home Rule movement.
III. He participated in the Round Table Conferences held between 1930 and 1932 in London.
Only I
All I, II and III
Only II
Only II and III
Correct answer
Only I
A student claims that two cars of equal mass, one moving at 40 km/h and another at 80 km/h, have the same kinetic energy if their engines provide the same power. What is the error in this reasoning?
The cars have equal energy if the engines are identical.
Kinetic energy depends on the square of speed, not just on power supplied.
Both cars have equal kinetic energy since both cover the same distance.
Power supplied determines energy, regardless of speed.
Correct answer
The cars have equal energy if the engines are identical.
Select the triad which follows the same pattern as that followed by the two triads given below. Both triads follow the same pattern.
JM-HK-FI
MP-KN-IL
QS-MP-KO
PS-NQ-KO
PS-NQ-LO
QS-NP-KO
Correct answer
QS-MP-KO
A can do a work in 9 days and B in 12 days. They work on alternate days, beginning with B. In how many days will the work be completed ?
\( 10 \frac{1}{3} \)
\( 9 \frac{1}{3} \)
\( 12 \frac{1}{3} \)
\( 8 \frac{1}{3} \)
Correct answer
\( 10 \frac{1}{3} \)
Which of the following statements best explains why humans are severely affected by biological magnification?
Humans can break down toxins
Humans are best decomposers in food chain
Humans occupy the top trophic level in many food chains
Humans consume less food than other consumers in food chain
Correct answer
Humans can break down toxins
Which of the following is usually 'stored under high pressure'?
NaCl
N2
H2
Solid CO2
Correct answer
NaCl
As per the India Meteorological Department (IMD), what is the approximate total annual normal rainfall received in the Thar Desert, which has a coefficient of variation (CV) of about 38%?
250 mm per year
200 mm per year
50 mm per year
150 mm per year
Correct answer
250 mm per year
Calculate the population standard deviation of the data 13, 17, 23, 26, 31, 28, 15, 34, 17, and 26. (Round off your answer to two decimal places.)
7.26
6.81
6.19
7.18
Correct answer
7.26
A farmer wants to grow wheat with better baking quality and resistance to drought. Which two characteristics should be targeted in variety improvement?
Wider adaptability and biotic resistance
Improved quality and abiotic resistance
Higher yield and wider adaptability
Improved quality and biotic resistance
Correct answer
Wider adaptability and biotic resistance
This question is based on the following words/letter clusters.
(left) ADS DUG AGS BEG (right)
How many letters are there between the second letter of the second word/letter cluster from the right and the second letter of the second word/letter cluster from the left, counted in the English alphabetical order?
12
14
13
11
Correct answer
12
When dilute hydrochloric acid reacts with calcium carbonate, the gas evolved is passed through limewater. On passing the gas in excess, the milkiness disappears due to the formation of:
Calcium hydrogen carbonate
Calcium hydroxide
Calcium oxide
Calcium carbonate
Correct answer
Calcium hydrogen carbonate
Five years ago, the ratio of the ages of Amit and Bhanu was 2 : 3. Fifteen years from now, their ages will be in the ratio of 5 : 6. Find the sum of their present ages.
43 years
80 years
43 years, 3 months
43 years, 4 months
Correct answer
43 years
If \( \frac{4(x^2 + 1) - 8x}{3x} = 6, x > 0 \), then find the positive value of \( \sqrt{x} + \frac{1}{\sqrt{x}} \).
\( \sqrt{\frac{17}{2}} \)
\( \sqrt{\frac{5}{3}} \)
\( \sqrt{\frac{2}{5}} \)
\( \sqrt{\frac{2}{3}} \)
Correct answer
\( \sqrt{\frac{17}{2}} \)
The monthly income of Chetan is ₹60,000 and his expenditure is ₹35,000. If his income increases by 25%, and his expenditure increases by 15%, then what will be the percentage increase in his savings?
36%
35%
39%
38%
Correct answer
36%
In a certain code,
'parents teach good values' is coded as 'sc fs ye un',
'strong values shape character' is coded as 'lx zv fs lb' and
'good habits discipline strong' is coded as 'ye hk gb zv'.
What is the possible code for ‘character’?
Either 'fs' or 'zv'
Either 'ye' or 'lb'
Either 'lb' or 'fs'
Either 'lb' or 'lx'
Correct answer
Either 'fs' or 'zv'
What should come in place of '?' in the given series?
7 10 16 25 ?
34
43
37
40
Correct answer
34
If + means - , - means x , x means ÷ , ÷ means +, then what will come in place of the question mark (?) in the following equation?
4-18×3÷50+33=?
40
31
30
41
Correct answer
40
Simplify: 110 - 42 × (5 + 6) - 6
-358
-363
-348
-350
Correct answer
-358
Why does our palm feel cold when acetone or petrol is poured on it?
The liquid increases moisture on skin surface
The liquid absorbs heat from the skin to evaporate
The liquid blocks heat flow from surroundings
The liquid reacts chemically with our skin surface
Correct answer
The liquid increases moisture on skin surface
When x is added to each of 13, 19, 16 and 23, then the numbers so obtained, in this order, are in proportion. Then, if 5x : y :: y : (8x-4), and y > 0, what is the value of y?
37
42
30
41
Correct answer
37
What conclusion can be drawn from the experiment in which potassium permanganate solution remains coloured even after repeated dilution?
Particles of matter are visible to naked eye
Particles of matter are extremely small in size
Particles of matter occupy no space at all
Particles of matter are fixed and stationary
Correct answer
Particles of matter are visible to naked eye
The ratio of the cost prices of articles X and Y is 1:2. A man earns a profit of 12% by selling X and incurs a loss of 36% by selling Y. What is his overall gain or loss percentage in the entire transaction?
Loss, 24.5%
Gain, 26.5%
Loss, 20%
Gain, 20%
Correct answer
Loss, 24.5%
to take the given data to be true even if they seem to be at variance from commonly known facts.)
How many young adults are entrepreneurs?
18
3
22
21
Correct answer
18
In the Assumed Mean Method, if the assumed mean (A) = 55 and an observed value x = 40, what is the deviation d?
-15
1.5
15
-1.5
Correct answer
-15
A boat travels 36 km downstream in 3 hours and returns upstream covering the same distance in 5 hours. What is the speed of boat in still water?
10.2 km/hour
11.7 km/hour
8.5 km/hour
9.6 km/hour
Correct answer
10.2 km/hour
What is the primary material used to develop vermicompost?
Chemical fertilisers
Yeast
Earthworms
Bacteria and viruses
Correct answer
Chemical fertilisers
The list price of a refrigerator is ₹15,000. It is sold to a retailer after two successive discounts of 32% and 40%. The retailer wants to earn a profit of 45% on his cost after allowing a 49% discount (on its new list price) to the customer. At what price should he list the refrigerator?
₹17,325
₹17,504
₹17,412
₹17,400
Correct answer
₹17,325
Who among the following has overtaken Yuzvendra Chahal to become India’s highest wicket-taker in T20 Internationals at Eden Gardens in Kolkata on 22 January 2025?
Mohammed Siraj
Jasprit Bumrah
Arshdeep Singh
Kuldeep Yadav
Correct answer
Mohammed Siraj
Which observation supports the law of constant proportions for water?
Water exists in three states
Hydrogen and oxygen ratio is fixed
Water boils at fixed temperature
Water conducts electricity weakly
Correct answer
Water exists in three states
The fluid content inside the plasma membrane is named:
Chromosomes
Chromatin
Genes
Cytoplasm
Correct answer
Chromosomes
In a certain code,
'green apple sweet' is coded as 'ta lo mi'
'red apple fresh' is coded as 'ku lo pe'
'green mango fresh' is coded as 'ta si pe'
(all the codes are two letter coded only)
What is the code for “green apple”?
ku lo
mi si
ta pe
ta lo
Correct answer
ku lo
Amit had invested same amount of sums at simple as well as compound interest, compounded annually. The time period of both the sums was 2 years and rate of interest too was same 10% per annum. At the end, he found a difference of ₹97 in both the interests received. What were the sums (in ₹) invested?
8,950
8,800
9,700
10,050
Correct answer
8,950
A shopkeeper sells his goods at cost price. If by using false weights he gains 3\( \frac{19}{27} \)%, then what weight does he use for 1 kg (in g, rounded off to 2 decimal places)?
938.99
987.35
964.29
954.79
Correct answer
938.99
How many metres of cloth 2 metres wide will be required to make a conical tent with the diameter of the base being 14 metres and its slant height being 9.5 metres?
(Use π = \( \frac{22}{7} \))
109.5
124.5
104.5
114.5
Correct answer
109.5
The value of \( 4^3 - 7^2 + \left(\frac{16}{4}\right)^2 - 4 + 9 \times 1 = ______ \).
42
44
33
36
Correct answer
42
What should come in place of ? in the given series based on the English alphabetical order?
JMQ ILP HKO GJN ?
FJM
FIN
FIM
FJN
Correct answer
FJM
Find the roots of the quadratic equation 15x²-x-2=0
\( x = -\frac{1}{3} \) or \( x = -\frac{2}{5} \)
\( x = \frac{1}{3} \) or \( x = \frac{2}{5} \)
\( x = \frac{1}{3} \) or \( x = -\frac{2}{5} \)
\( x = -\frac{1}{3} \) or \( x = \frac{2}{5} \)
Correct answer
\( x = -\frac{1}{3} \) or \( x = -\frac{2}{5} \)
India commemorated the _________birth anniversary of Rabindranath Tagore on May 7, 2025.
164th
160th
162nd
166th
Correct answer
164th
Under the Stand-Up India Scheme, bank loans from Scheduled Commercial Banks (SCBs) are provided in what range for eligible beneficiaries?
₹1 crore to ₹5 crore
₹10 lakh to ₹1 crore
₹25 lakh to ₹2 crore
₹5 lakh to ₹50 lakh
Correct answer
₹1 crore to ₹5 crore
The radius and slant height of a cone are 59.5 cm and 85 cm, respectively. Find its total surface area.
\( (\text{Take } \pi = \frac{22}{7}) \)
28,021.5 cm2
27,000.5 cm2
30,021.5 cm2
27,021.5 cm2
Correct answer
28,021.5 cm2
Why are sulphide ores usually converted into oxides before the extraction of metals?
Metal oxides are easier to reduce than sulphides
Metal sulphides react faster with carbon
Sulphide ores contain more gangue materials
Sulphide ores are unstable at room temperature
Correct answer
Metal oxides are easier to reduce than sulphides
A tap can fill a cistern in 32 hours, while another tap can empty the full cistern in 64 hours. If the cistern is initially empty and both taps are opened together, find the time (in hours) required to fill one-fourth of the cistern.
48
64
16
32
Correct answer
48
Each of C, D, E, F, X, Y and Z has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.
X has exam on Friday. Only two people have exams between Y and X. Only four people have exams between C and Y. D has exam immediately after F. Z doesn’t have exam on Monday.
How many people have exam(s) between Z and E?3864
Two
Four
Three
One
Correct answer
Two
Which demand advanced by the Moderate leadership of the Indian National Congress (1885–1905) most clearly reflected their objective of expanding Indian involvement within colonial decision-making structures?
Expansion of legislative councils for Indian representation
Curtailment of regressive indirect taxation
Immediate transfer of political authority to Indian hands
Preferential allocation of bureaucratic appointments to Indians
Correct answer
Expansion of legislative councils for Indian representation
Which of the following situations is NOT an example of action and reaction forces?
A rocket launching upwards
A swimmer pushing water backwards
A bat hitting a cricket ball
A ball thrown upward comes back down due to the pull of gravity.
Correct answer
A rocket launching upwards
100 questions in the full paper