A selection of 25 solved questions — sign up free to practise all 46.
Q1History & Culture·Buddhism, Jainism and Heterodox TraditionsPYQ 2004
With reference to ancient Jainism, which one of the following statements is correct?
- AJainism was spread in South India under the leadership of Sthalabahu
- BThe Jainas who remained under the leadership of Bhadrabahu were called Shvetambaras after the Council held at Pataliputra
- CJainism enjoyed the patronage of the Kalinga king Kharavela in the first century BCCorrect
- DIn the initial stage of Jainism, the Jainas worshipped images unlike Buddhists
Explanation
Correct. The Hathigumpha inscription of Kharavela, the Kalinga king of the Chedi dynasty (1st century BCE), records his patronage of Jainism, including the restoration of Jain idols taken away by the Nandas.
Why the other options are incorrect
- Option A
Jainism was spread in South India under the leadership of Bhadrabahu, not Sthalabahu. Bhadrabahu led a migration of Jain monks to Karnataka during a famine in Magadha.
- Option B
Those who remained at Pataliputra under Sthulabhadra were called Shvetambaras. Those who followed Bhadrabahu to the south became Digambaras. The statement reverses the association.
- Option D
In the initial stage, Jainism did not emphasise image worship. Like early Buddhism, early Jainism focused more on philosophical teachings and ascetic practice rather than idol worship.
Q2Polity & Governance·Federalism and Local GovernancePYQ 2004
With reference to the Constitution of India, which one of the following pairs is not correctly matched?
- AForests - Concurrent List
- BStock Exchanges - Concurrent ListCorrect
- CPost Office Saving Bank - Union List
- DPublic Health - State List
Explanation
Correct. Stock exchanges and futures markets are in the Union List (Entry 48), not the Concurrent List. This is the incorrectly matched pair.
Why the other options are incorrect
- Option A
Forests were transferred to the Concurrent List from the State List by the 42nd Constitutional Amendment (1976). This pairing is correct.
- Option C
Post Office Savings Banks fall under the Union List (Entry 45 covers banking and related subjects controlled by the Union). This pairing is correct.
- Option D
Public health and sanitation, hospitals, and dispensaries fall under the State List (Entry 6). This pairing is correct.
Q3Geography·Physiography of IndiaPYQ 2004
Consider the following:
1. Mahadeo Hills
2. Sahyadri Parvat
3. Satpura Range
What is the correct sequence of the above from the north to the south?
- A1-2-3
- B2-1-3
- C1-3-2Correct
- D2-3-1
Explanation
Correct. From north to south: Mahadeo Hills (central Madhya Pradesh, part of the Satpura system, ~22°N), then the Satpura Range proper extending westward (~21°N), and finally the Sahyadri (Western Ghats) running further south along the west coast.
Why the other options are incorrect
- Option A
Sahyadri (Western Ghats) extends further south than the Satpura Range, so placing Sahyadri between Mahadeo and Satpura is incorrect.
- Option B
Sahyadri is not the northernmost; the Mahadeo Hills (part of the Satpura system) in central MP are further north.
- Option D
This places Sahyadri furthest north, which is incorrect since the Mahadeo Hills in MP are at a higher latitude.
Q4History & Culture·UNESCO, Heritage and Cultural InstitutionsPYQ 2004
Who among the following is well known as an exponent of flute?
- ADebu Choudhuri
- BMadhup Mudgal
- CRonu MazumdarCorrect
- DShafaat Ahmad
Explanation
Correct. Ronu Mazumdar is one of India's most celebrated flute (bansuri) players. He has performed extensively worldwide and carries forward the tradition of the Indian bamboo flute.
Why the other options are incorrect
- Option A
Debu Choudhuri is a renowned sitar player, not a flautist. He received the Padma Bhushan for his contribution to sitar music.
- Option B
Madhup Mudgal is a Hindustani classical vocalist associated with the Gandharva Mahavidyalaya tradition in Delhi.
- Option D
Shafaat Ahmad Khan is known as a sarangi player in the Hindustani classical tradition, not as a flautist.
Q5Geography·OceanographyPYQ 2004
Which one of the following statements is NOT correct?
- AGulfs with narrow fronts and wider rears experience high tidesCorrect
- BTidal currents take place when a gulf is connected with the open sea by a narrow channel
- CTidal bore occurs when a tide enters the narrow and shallow estuary of a river
- DThe tidal nature of the mouth of the river Hooghly is of crucial importance to Kolkata as a port
Explanation
Correct. This statement is NOT correct. It is gulfs with wide fronts and narrow rears (funnel-shaped) that experience amplified high tides, not those with narrow fronts and wider rears.
Why the other options are incorrect
- Option B
This is a correct statement. Tidal currents are generated when water moves through narrow channels connecting gulfs to the open sea.
- Option C
This is a correct statement. Tidal bores form when incoming tides are funnelled into narrow, shallow river estuaries, creating a wave that travels upstream.
- Option D
This is a correct statement. The tidal rise at the Hooghly mouth helps maintain navigable depth for ships reaching Kolkata port.
Q6History & Culture·Advent of Europeans and Company RulePYQ 2004
Which one of the following pairs is not correctly matched?
- APitt's India Act: Warren Hastings
- BDoctrine of Lapse: Dalhousie
- CVernacular Press Act: CurzonCorrect
- DIlbert Bill: Ripon
Explanation
Correct — this is the incorrectly matched pair. The Vernacular Press Act of 1878 was introduced under Lord Lytton, not Lord Curzon. Curzon served as Viceroy from 1899 to 1905.
Why the other options are incorrect
- Option A
This pair is essentially correct in timeline. Pitt's India Act of 1784 was passed during Warren Hastings' tenure as Governor-General.
- Option B
This pair is correctly matched. Lord Dalhousie systematically applied the Doctrine of Lapse to annex princely states between 1848 and 1856.
- Option D
This pair is correctly matched. The Ilbert Bill was introduced in 1883 during Lord Ripon's viceroyalty.
Q7History & Culture·Gandhian Era (1919-1939)PYQ 2004
During the Indian Freedom Struggle, who among the following proposed that Swaraj should be defined as complete independence free from all foreign control?
- AMazharul Haque
- BMaulana Hasrat MohaniCorrect
- CHakim Ajmal Khan
- DAbul Kalam Azad
Explanation
Correct. Maulana Hasrat Mohani proposed at the Ahmedabad Congress session (1921) that Swaraj should mean complete independence, free from all foreign control. This was years before the Congress formally adopted the demand.
Why the other options are incorrect
- Option A
Mazharul Haque was a Congress leader from Bihar but did not propose this specific definition of Swaraj.
- Option C
Hakim Ajmal Khan was a prominent leader of the Khilafat movement but did not make this specific proposal about defining Swaraj.
- Option D
Abul Kalam Azad was a major Congress leader but the specific proposal to define Swaraj as complete independence came from Hasrat Mohani.
Q8History & Culture·Buddhism, Jainism and Heterodox TraditionsPYQ 2004
Consider the following statements:
1. The Chinese pilgrim Fa-Hien attended the fourth Great Buddhist Council held by Kanishka.
2. The Chinese pilgrim Huan-Tsang met Harsha and found him to be antagonistic to Buddhism.
Which of the statements given above is/are correct?
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2Correct
Explanation
Correct. Fa-Hien visited India centuries after Kanishka's council, and Xuanzang's records describe Harsha as a generous patron of Buddhism who convened religious assemblies in its support.
Why the other options are incorrect
- Option A
Statement 1 is incorrect. Fa-Hien (Faxian) visited India during the Gupta period (c. 399-414 CE), long after Kanishka's Fourth Buddhist Council (c. 1st-2nd century CE).
- Option B
Statement 2 is incorrect. Xuanzang (Huan-Tsang) found Harsha to be a great patron of Buddhism, not antagonistic. Harsha organised the Prayag Assembly and supported Mahayana Buddhism.
- Option C
Both statements are factually incorrect. Fa-Hien was not contemporary with Kanishka, and Xuanzang described Harsha as a supporter of Buddhism.
Q9History & Culture·Gandhian Era (1919-1939)PYQ 2004
Consider the following Viceroys of India during British rule:
1. Lord Curzon
2. Lord Chelmsford
3. Lord Hardinge
4. Lord Irwin
Which one of the following is the correct chronological order of their tenure?
- A1-3-2-4Correct
- B2-4-1-3
- C1-4-2-3
- D2-3-1-4
Explanation
Correct. Lord Curzon (1899-1905), Lord Hardinge (1910-1916), Lord Chelmsford (1916-1921), and Lord Irwin (1926-1931) is the correct chronological sequence.
Why the other options are incorrect
- Option B
This sequence is incorrect. Chelmsford preceded Irwin, and Curzon preceded all of them.
- Option C
This sequence is incorrect. Irwin did not come immediately after Curzon.
- Option D
This sequence is incorrect. Chelmsford was not the earliest among these four.
Q10History & Culture·Mughal IndiaPYQ 2004
How did the dynasty of Nizam Shahis of Ahmadnagar come to an end?
- AAhmadnagar was annexed into the Mughal Empire and Husain Shah was consigned to life imprisonmentCorrect
- BMughal troops destroyed Daulatabad fort and killed Nizam-ul-Mulk of Ahmadnagar
- CFateh Khan usurped the throne from Nizam-ul-Mulk
- DMalik Ambar was defeated in a battle with Mughals in 1631 and the entire royal family was killed by the Mughal troops
Explanation
Correct. The Nizam Shahi dynasty of Ahmadnagar ended when the Mughal forces under Shah Jahan finally annexed the sultanate in 1636. The last ruler, Husain Shah, was captured and imprisoned for life.
Why the other options are incorrect
- Option B
Daulatabad fort was not destroyed. It was besieged and eventually fell to the Mughals, but the end of the Nizam Shahi dynasty came through the imprisonment of Husain Shah, not the killing of a ruler named Nizam-ul-Mulk.
- Option C
Fateh Khan did not usurp the Nizam Shahi throne in the manner described. The dynasty ended through Mughal annexation.
- Option D
Malik Ambar died of natural causes in 1626, before the final Mughal conquest. The entire royal family was not massacred; the last ruler was imprisoned.
Q11History & Culture·Gandhian Era (1919-1939)PYQ 2004
Consider the following statements: Some of the main features of the Government of India Act, 1935 were the:
1. Abolition of diarchy in the Governors' provinces
2. Power of the Governors to veto legislative action and to legislate on their own
3. Abolition of the principle of communal representation
Which of the statements given above is/are correct?
- A1 only
- B1 and 2Correct
- C2 and 3
- D1, 2 and 3
Explanation
Correct. The 1935 Act abolished diarchy in the provinces and gave Governors extensive powers including veto and the ability to legislate. However, it did not abolish communal representation; it actually continued and extended communal electorates.
Why the other options are incorrect
- Option A
Statement 1 is correct, but statement 2 is also correct. The Governors did have veto and legislative powers under the 1935 Act.
- Option C
Statement 2 is correct, but statement 3 is incorrect. The 1935 Act continued communal representation through separate electorates based on the Communal Award.
- Option D
Statement 3 is incorrect. The 1935 Act retained communal representation and separate electorates.
Q12Polity & Governance·Non-Constitutional BodiesPYQ 2004
Which one of the following is the correct sequence in the descending order of precedence in the warrant of precedence?
- AAttorney General of India, Judges of the Supreme Court, Members of Parliament, Deputy Chairman of Rajya Sabha
- BJudges of the Supreme Court, Deputy Chairman of Rajya Sabha, Attorney General of India, Members of ParliamentCorrect
- CAttorney General of India, Deputy Chairman of Rajya Sabha, Judges of the Supreme Court, Members of Parliament
- DJudges of the Supreme Court, Attorney General of India, Deputy Chairman of Rajya Sabha, Members of Parliament
Explanation
Correct. In the official warrant of precedence, Supreme Court judges rank above the Deputy Chairman of the Rajya Sabha, who in turn ranks above the Attorney General of India, followed by Members of Parliament.
Why the other options are incorrect
- Option A
The Attorney General does not rank above Supreme Court judges in the warrant of precedence. Supreme Court judges hold a higher position.
- Option C
This ordering is incorrect. The Attorney General does not precede both the Deputy Chairman and Supreme Court judges.
- Option D
While Supreme Court judges are correctly placed first, the Attorney General does not rank above the Deputy Chairman of the Rajya Sabha in the warrant of precedence.
Q13Geography·Transport, Communication and Trade GeographyPYQ 2004
Which among the following National Highway routes is the longest?
- AAgra–Mumbai
- BChennai–Thane
- CKolkata–HajiraCorrect
- DPune–Machilipatnam
Explanation
Correct. The Kolkata–Hajira route (old NH6) stretching over 1,900 km through Jharkhand, Chhattisgarh, Maharashtra and Gujarat was the longest among the options listed.
Why the other options are incorrect
- Option A
The Agra–Mumbai route, while long, is shorter than the Kolkata–Hajira route.
- Option B
The Chennai–Thane (old NH4) route covers about 1,290 km, shorter than Kolkata–Hajira.
- Option D
The Pune–Machilipatnam route is considerably shorter than the Kolkata–Hajira route.
Q14Polity & Governance·JudiciaryPYQ 2004
Consider the following statements:
1. The highest criminal court of the district is the Court of District and Sessions Judge.
2. District Judges are appointed by the Governor in consultation with the High Court.
3. To be eligible for appointment as District Judge, a person should be an advocate or pleader of seven years' standing or more, or an officer in judicial service of the Union or the State.
4. When the Sessions Judge awards a death sentence, it must be confirmed by the High Court before it is carried out.
Which of the statements given above are correct?
- A1 and 2
- B2, 3 and 4
- C3 and 4
- D1, 2, 3 and 4Correct
Explanation
Correct. All four statements align with the constitutional and criminal-procedure framework. Article 233 provides for appointment by the Governor in consultation with the High Court, and Section 366 CrPC requires High Court confirmation of death sentences.
Why the other options are incorrect
- Option A
This is incomplete. Statements 3 and 4 are also correct as per the constitutional and criminal-procedure framework.
- Option B
This is incomplete. Statement 1 is also correct as the Court of Session is the highest criminal court at the district level.
- Option C
This is incomplete. Statements 1 and 2 are also correct as per Articles 233 and 236 and the CrPC framework.
Q15History & Culture·Late Freedom Struggle (1939-1947)PYQ 2004
Which one of the following statements is correct?
- AThe Constituent Assembly of India was elected by the Provincial Assemblies in the year 1946Correct
- BJawaharlal Nehru, M.A. Jinnah and Sardar Vallabhbhai Patel were members of the Constituent Assembly of India
- CThe First Session of the Constituent Assembly of India was held in January 1947
- DThe Constitution of India was adopted on 26th January 1950
Explanation
Correct. The Constituent Assembly was elected in July 1946 by the members of the provincial legislative assemblies as envisaged under the Cabinet Mission Plan.
Why the other options are incorrect
- Option B
This is incorrect because M.A. Jinnah was not a member of the Indian Constituent Assembly. The Muslim League boycotted the Assembly and its members later formed the Pakistan Constituent Assembly.
- Option C
The first session of the Constituent Assembly was held on 9 December 1946, not in January 1947.
- Option D
The Constitution was adopted on 26 November 1949, not 26 January 1950. January 26, 1950 was when the Constitution came into effect (Republic Day).
Q16History & Culture·Ancient Art, Literature and PhilosophyPYQ 2004
Which one of the following sequences indicates the correct chronological order?
- AShankaracharya - Ramanuja - ChaitanyaCorrect
- BRamanuja - Shankaracharya - Chaitanya
- CRamanuja - Chaitanya - Shankaracharya
- DShankaracharya - Chaitanya - Ramanuja
Explanation
Correct. Shankaracharya (8th century CE) propounded Advaita Vedanta, Ramanuja (11th-12th century CE) advocated Vishishtadvaita, and Chaitanya (15th-16th century CE) led the Bhakti movement in Bengal. This is the correct chronological sequence.
Why the other options are incorrect
- Option B
Incorrect. Shankaracharya preceded Ramanuja by about three centuries.
- Option C
Incorrect. All three are in the wrong order here. Shankaracharya came first.
- Option D
Incorrect. Ramanuja came before Chaitanya, not after.
Q17Polity & Governance·Non-Constitutional BodiesPYQ 2004
According to the National Human Rights Commission Act, 1993, who among the following can be its Chairman?
- AAny serving Judge of the Supreme Court
- BAny serving Judge of the High Court
- COnly a retired Chief Justice of IndiaCorrect
- DOnly a retired Chief Justice of a High Court
Explanation
Correct. Under the Protection of Human Rights Act, 1993, the Chairperson of the NHRC had to be a former Chief Justice of India. Other categories of judges could serve as members but not as Chairperson.
Why the other options are incorrect
- Option A
A serving Supreme Court judge is not eligible for the chairpersonship. Under the original 1993 Act, the position was reserved for a retired Chief Justice of India.
- Option B
A serving High Court judge is not eligible for the NHRC chairpersonship. The Act specified a retired Chief Justice of India for the role.
- Option D
A retired Chief Justice of a High Court could serve as a member of the NHRC, not as its Chairperson. The chairpersonship required a former CJI.
Q18Science·Chemistry in Everyday LifePYQ 2004
Salts of which of the following elements provide colours to fireworks?
- AZinc and sulphur
- BPotassium and mercury
- CStrontium and bariumCorrect
- DChromium and nickel
Explanation
Correct. Strontium salts produce brilliant red colours and barium salts produce green colours in fireworks. These are among the most commonly used colour-producing elements.
Why the other options are incorrect
- Option A
Zinc burns with a bluish-white light and sulphur produces blue flame, but they are not the primary colour-producing agents in fireworks.
- Option B
Mercury compounds are toxic and not used in modern fireworks; potassium is used as an oxidiser, not primarily for colour.
- Option D
Chromium and nickel are not standard colouring agents in fireworks.
Q19Polity & Governance·Union ExecutivePYQ 2004
The resolution for removing the Vice-President of India can be moved in the:
- ALok Sabha alone
- BEither House of Parliament
- CJoint sitting of Parliament
- DRajya Sabha aloneCorrect
Explanation
Correct. Under Article 67(b), a resolution for the removal of the Vice-President can only be moved in the Rajya Sabha (by a majority of all its then members) and then agreed to by the Lok Sabha. This is because the Vice-President is ex officio Chairman of the Rajya Sabha.
Why the other options are incorrect
- Option A
The removal resolution for the Vice-President cannot be moved in the Lok Sabha alone. The Constitution specifically requires it to originate in the Rajya Sabha.
- Option B
The resolution is not movable in either House. Article 67(b) specifically requires that the resolution must be initiated in the Rajya Sabha.
- Option C
A joint sitting is a mechanism under Article 108 for resolving deadlocks on ordinary bills, not for removing the Vice-President.
Q20History & Culture·Early Medieval IndiaPYQ 2004
Consider the following statements:
1. Narasimha Saluva ended the Sangama dynasty and seized the throne for himself and started the Saluva dynasty.
2. Vira Narasimha deposed the last Saluva ruler and seized the throne for himself.
3. Vira Narasimha was succeeded by his younger brother, Krishnadeva Raya.
4. Krishnadeva Raya was succeeded by his half-brother, Achyuta Raya.
Which of the statements given above are correct?
- A1, 2 and 3
- B2, 3 and 4
- C1 and 4
- D1, 2, 3 and 4Correct
Explanation
Correct. All four statements accurately trace the dynastic transitions of the Vijayanagara Empire: Saluva Narasimha ended the Sangama line, Vira Narasimha (Tuluva) deposed the last Saluva ruler, his brother Krishnadeva Raya succeeded him, and Achyuta Raya (half-brother) followed.
Why the other options are incorrect
- Option A
This excludes statement 4, which is also correct. Achyuta Raya, Krishnadeva Raya's half-brother, did succeed him on the Vijayanagara throne.
- Option B
This excludes statement 1, which is correct. Narasimha Saluva did overthrow the Sangama dynasty around 1485 CE.
- Option C
This excludes statements 2 and 3, both of which are historically verified transitions in the Vijayanagara dynasty succession.
Q21Geography·Climatology and Atmospheric CirculationPYQ 2004
Which one of the following statements is correct?
- ACirrus clouds are composed of ice crystals.Correct
- BCirrus clouds exhibit a flat base and have the appearance of rising domes.
- CCumulus clouds are white and thin, and form delicate patches and give a fibrous and feathery appearance.
- DCumulus clouds are classified as high clouds.
Explanation
Correct. Cirrus clouds form at high altitudes (above 6,000 m) where temperatures are well below freezing, so they are composed entirely of ice crystals.
Why the other options are incorrect
- Option B
This describes cumulus clouds, not cirrus. Cumulus clouds have flat bases and dome-like or cauliflower tops from convective updrafts.
- Option C
This describes cirrus clouds, not cumulus. Cirrus clouds are the thin, wispy, fibrous clouds at high altitudes.
- Option D
Cumulus clouds are typically low to middle-level clouds, not high clouds. Cirrus clouds are classified as high clouds.
Q22History & Culture·Indian Nationalism (1885-1919)PYQ 2004
Consider the following statements:
1. The first session of the Indian National Congress was held in Calcutta.
2. The second session of the Indian National Congress was held under the presidency of Dadabhai Naoroji.
3. Both Indian National Congress and Muslim League held their sessions at Lucknow in 1916 and concluded the Lucknow Pact.
Which of the statements given above is/are correct?
- A1 and 2
- B2 only
- C2 and 3Correct
- D3 only
Explanation
Correct. The first INC session was in Bombay (not Calcutta), so statement 1 is wrong. Dadabhai Naoroji presided over the second session (1886 Calcutta), and the Congress and Muslim League did hold simultaneous sessions at Lucknow in 1916, concluding the Lucknow Pact.
Why the other options are incorrect
- Option A
Statement 1 is incorrect. The first session of the INC was held in Bombay in 1885, not Calcutta.
- Option B
Statement 2 is correct — Dadabhai Naoroji presided over the second session at Calcutta in 1886 — but statement 3 is also correct.
- Option D
Statement 3 is correct, but statement 2 is also correct. Dadabhai Naoroji did preside over the second Congress session.
Q23Science·Cell Biology and GeneticsPYQ 2004
Assertion (A): Fatty acids should be a part of the balanced human diet.
Reason (R): The cells of the human body cannot synthesize any fatty acids.
Select the correct answer from the codes below:
- ABoth A and R are individually true and R is the correct explanation of A
- BBoth A and R are individually true but R is not the correct explanation of ACorrect
- CA is true but R is false
- DA is false but R is true
Explanation
Correct. Fatty acids are needed in diet (A is true). Human cells cannot synthesize essential fatty acids like omega-3 and omega-6 (R is broadly true), but R is not the correct explanation since the body can synthesize many non-essential fatty acids.
Why the other options are incorrect
- Option A
While both statements are true, R does not correctly explain A because the body can synthesize many fatty acids but not essential fatty acids, which is the actual reason for dietary inclusion.
- Option C
R is substantially true since the body cannot make all required fatty acids, particularly the essential ones.
- Option D
Assertion A is true; fatty acids are indeed essential components of a balanced diet.
Q24Polity & Governance·Fundamental RightsPYQ 2004
Which Article of the Constitution of India says, 'No child below the age of fourteen years shall be employed to work in any factory or mine or engaged in any other hazardous employment'?
- AArticle 24Correct
- BArticle 45
- CArticle 330
- DArticle 368
Explanation
Correct. Article 24 under the Right against Exploitation prohibits employment of children below 14 years in factories, mines, and other hazardous employment.
Why the other options are incorrect
- Option B
Incorrect. Article 45 is a Directive Principle that originally dealt with free and compulsory education for children and now deals with early childhood care and education.
- Option C
Incorrect. Article 330 deals with reservation of seats for Scheduled Castes and Scheduled Tribes in the Lok Sabha.
- Option D
Incorrect. Article 368 deals with the power of Parliament to amend the Constitution and the procedure for such amendments.
Q25Geography·Indian Drainage SystemsPYQ 2004
Assertion (A): West-flowing rivers of Peninsular India have no deltas.
Reason (R): These rivers do not carry any alluvial sediments.
- ABoth A and R are individually true and R is the correct explanation of ACorrect
- BBoth A and R are individually true but R is not the correct explanation of A
- CA is true but R is false
- DA is false but R is true
Explanation
Correct. West-flowing peninsular rivers like the Narmada and Tapi flow through rift valleys and hard rock terrain with steep gradients near the coast, resulting in estuaries rather than deltas. They carry very little alluvial sediment compared to east-flowing rivers, which is why they do not form deltas.
Why the other options are incorrect
- Option B
The reason is directly connected to the assertion — the absence of significant alluvial sediment is why no delta forms.
- Option C
The reason is broadly true, not false. These rivers carry significantly less alluvial material.
- Option D
The assertion is true — west-flowing peninsular rivers form estuaries, not deltas.