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Questions follow the lecture order. Select an answer to any question and the correct answer will immediately appear in green at the bottom of the card. ★ marks the more challenging questions.
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Jyotiṣa was traditionally classified as one of the six Vedāṅgas. What does the term Vedāṅga mean?
✔ Answer: B — Vedāṅgas are the six ancillary disciplines that support understanding and application of the Vedas.
In Vedic literature, Soma is mentioned in the marriage hymn RV 10.85 referring to:
✔ Answer: C — As clarified by Yāskācārya in the Nirukta, Soma in this hymn refers to the visible Moon.
Which of the following is NOT one of the four Vedas?
✔ Answer: C — The four Vedas are Ṛk, Yajus, Sāma, and Atharva. "Purāṇaveda" is not one of them.
According to the Nirukta (7.5), how many fundamental devatās underlie all celestial phenomena?
✔ Answer: C — The etymologists (nairuktāḥ) hold that there are three fundamental devatās: Agni (earth), Vāyu/Indra (atmosphere), and Sun (heaven).
The Aitareya Brāhmaṇa (3.44) states "He never sets, never rises" — referring to the Sun. What later cosmological concept does the lecture say this is a precursor to?
✔ Answer: B — The lecture explicitly identifies this AB passage as a precursor to the Meru model where the sun rotates around the imaginary Meru axis.
Who is the pioneer of the study of history of astronomy in India whose foundational Marathi work is titled Bharatīya Jyotiṣa Śāstra?
✔ Answer: B — Shankar Balakrishna Dixit (1853–1898) is identified as the pioneer in the study of Indian astronomical history.
In the Vedic system, one ahorātra (day-night) was divided into how many muhūrtas?
✔ Answer: C — One ahorātra = 30 muhūrtas, a fundamental Vedic time convention.
The Śatapatha Brāhmaṇa's legend of Prajāpati explains why the pakṣa (fortnight) is reckoned as 15 units. What number did Prajāpati "settle in"?
✔ Answer: D — The ŚB narrates that Prajāpati sat in the "15 boxed figure," establishing 15 as the number of lunar forms in each fortnight.
The total count of ahas (day) + rātri (night) in a Vedic year was taken as:
✔ Answer: B — 720 = 360 days + 360 nights, a foundational number in Vedic cosmology.
The number 3339 appears in which Ṛgvedic hymn as the count of the Viśvedevas who attended Agni?
✔ Answer: C — RV 10.51 contains the famous nivid stating 3339 (300+3000+39) Viśvedevas.
What astronomical cycle does 3339 × 2 = 6678 tithis correspond to, when divided by 30?
✔ Answer: B — 6678/30 ≈ 222.6 ≈ 223 synodic months, the classic 18-year Saros eclipse cycle.
The shape of the Darśa-Pūrṇamāsa (DP) altar is described as a:
✔ Answer: B — The DP-vedi is an isosceles trapezium (with eastern side 32 aṅgulas, western side 64, height 96) with curved arcuate sides added.
The best Vedic-period approximations for the area of the DP-vedi using π ≈ 3.0885 and √3 ≈ 26/15 yield two estimates averaging close to what number?
✔ Answer: C — The two estimates (3334 and 3345) average to approximately 3339 — the same Ṛgvedic number — a remarkable numerical coincidence discussed at length in the lecture.
The Brahmāṇḍa Purāṇa (Ch. 23) explains that the 3339 Viśvedevas drink Soma only during which fortnight?
✔ Answer: B — The 3339 are counted as tithis in the dark (kṛṣṇa) fortnights only, which is the model of naked-eye moon visibility.
The sidereal month (moon returning to the same nakṣatra) is approximately:
✔ Answer: B — The sidereal month is ~27.3 days (moon back to the same nakṣatra), distinct from the synodic month of ~29.53 days.
The Vedic Pole Star "Abhaya," described at the tail of the Śiśumāra constellation in the Taittirīya Āraṇyaka, corresponds to which modern star?
✔ Answer: C — Abhaya is identified as α-Draconis (Thuban), which was closest to the North Celestial Pole around 2830 BCE.
The constellation Śiśumāra in the Taittirīya Āraṇyaka consists of how many named stars?
✔ Answer: C — The TA hymn lists fourteen stars along the body of the Śiśumāra, ending with Abhaya (Dhruva) at its tail.
Which modern constellation does the Vedic Śiśumāra correspond to?
✔ Answer: B — The lecture identifies Śiśumāra with the constellation Draco, based on the vivid description of the fourteen stars and their arrangement.
In the Maitrāyaṇīya Āraṇyaka Upaniṣat, King Bṛhadratha asks why "Dhruva is moving." What phenomenon does this question reflect?
✔ Answer: B — This is taken as a clear reference to the felt effect of axial precession, as the star Dhruva slowly drifted from its pole position.
The astronomer Kamalākara Bhaṭṭa (1658 CE) resolved the controversy of which star to show the bride in Hindu marriage ceremonies by specifying ecliptic coordinates (90° Long, 66° Lat). Which star does this correspond to?
✔ Answer: C — These coordinates correspond to Polaris, the current Pole Star, which Kamalākara prescribed as the star to be seen by the bride.
In the Taittirīya Saṁhitā (6.5.2), the Dhruva cup (dhruva-graha) is placed in the northern shed during the Agniṣṭhoma rite. The explanatory Brāhmaṇa part says asuras from the north tried to turn the earth around and the gods firmed it with Dhruva. What does the lecture infer this legend reflects?
✔ Answer: B — The lecture interprets this ritual and its legend as grounded in the observed fixity of star Dhruva (c 2800 BCE) and the later felt drift of that star due to axial precession.
In Vedic astronomy, the word nakṣatra technically refers to:
✔ Answer: B — Nakṣatra referred to asterisms, groups of identifiable stars with a particular geometrical form, used to specify the position of moon and sun.
The Maitrāyaṇīya Āraṇyaka Upaniṣat (MAU) states that the southern sojourn (Dakṣiṇāyana) of the sun started at the beginning of which nakṣatra?
✔ Answer: C — MAU explicitly states the southern transit starts at "maghādyam" (beginning of Maghā sector) and ends at the middle of Śraviṣṭhā.
The total number of nakṣatras in the Vedic system (including Abhijit) is:
✔ Answer: C — The original Vedic system had 28 nakṣatras including Abhijit; later the equal-sector zodiac used 27 after Abhijit was eliminated.
The nakṣatra Maghā is primarily identified with which group of stars in modern nomenclature?
✔ Answer: B — Maghā nakṣatra is made up of six stars in Leo, anchored by the bright α-Leo (Regulus), looking like an enclosure (koṣṭhāgāra).
The Brahmāṇḍa Purāṇa states that the spring equinoctial full moon was at ¼-Kṛttikā and the autumn equinox full moon was at ¾-Viśākhā. Computer simulation places this observation in approximately:
✔ Answer: B — The paper by Iyengar and Chakravarty (2023) shows through Astropy simulations that these equinoctial FM conditions correspond to 1980–1610 BCE.
The maghādi solar zodiac shifted to the Śraviṣṭhādi scheme (winter solstice at the beginning of Śraviṣṭhā) because of precession of the equinoxes. The lecture estimates this shift of 6°40' corresponds to approximately how many years?
✔ Answer: B — The lecture explicitly states: "precession of the equinoxes by 6°40' indicates passage of 480 years between the maghādi and the śraviṣṭhādi zodiac schemes."
In the Vedic Taittirīya Brāhmaṇa (1.5.2), the practice of observing a nakṣatra before sunrise for an auspicious rite is described. What period is called "upavyuṣam"?
✔ Answer: B — Upavyuṣam is the transitional pre-dawn period when the sky is dimly illuminated but the selected nakṣatra is still visible before it disappears in sunlight.
In the Vedāṅga period, one māsa (lunar month, full moon to full moon) was taken as equal to how many tithis?
✔ Answer: C — One māsa was conventionally taken as 30 tithis, even though the actual synodic cycle is ~29.53 days.
The Vedāṅga Jyotiṣa calendar text usually attributed to Lagadha uses which system as its starting point for the year?
✔ Answer: C — Lagadha's AYJ calendar (Śraviṣṭhādi scheme) starts the year at the winter solstice when the sun is at the beginning of the Śraviṣṭhā nakṣatra.
In the Vṛddhagārgīya Jyotiṣa (VGJ), each of the six seasons in the solar zodiac covers how many nakṣatras (out of 27)?
✔ Answer: A — Each of the six seasons covers 4½ nakṣatra sectors of 13°20' each, making the year 27 equal nakṣatra sectors of ~13(5/9) days each.
The Ādityacāra chapter of VGJ can be dated, by minimum observational error analysis, to approximately:
✔ Answer: B — Error analysis shows the nine seasonal nakṣatra boundaries had zero error during 1210–1150 BCE, placing the core Ādityacāra observations around c 1300 BCE.
The Ṛtusvabhāva section of VGJ, which gives a 12-month solar zodiac (not in rāśi signs but in nakṣatra names), can be dated to approximately:
✔ Answer: C — The error analysis places the Ṛtusvabhāva observations at c 500 BCE, about 800 years after the Ādityacāra section.
The Mahāsalilam section of VGJ explicitly states "Maghā is the first among solar asterisms" (maghā sauryāṇām). This anchors the Mahāsalilam to which approximate date?
✔ Answer: A — The lecture states this consistently points to "a date of at least 1600 BCE for the calendar part of Mahāsalilam," predating the śraviṣṭhādi system of c 1300 BCE.
The epic Mahābhārata contains the legend that Brahma made time begin with Dhaniṣṭhā (= Śraviṣṭhā), and Abhijit went away to do penance. What does the lecture infer this legend represents?
✔ Answer: A — The lecture interprets this MB legend as reflecting the historical transition from the 28-nakṣatra cycle to the 27-nakṣatra equal-sector zodiac, during which Abhijit was eliminated to make the arithmetic work.
In Siddhāntic astronomy, how many gurvakṣaras (long/heavy syllables) recited in medium pace equal one vighaṭikā (= 24 seconds)?
✔ Answer: C — Varāhamihira in the Pañcasiddhāntikā standardised 60 gurvakṣaras = 1 vighaṭikā, as a calibration tool for the sinking bowl water clock (ghaṭikāyantra).
The prātaranuvāka, a nocturnal Vedic recitation of about 1000 bṛhatī verses, was traditionally chanted:
✔ Answer: B — All texts and commentators agree the prātaranuvāka started in the "mahārātri" (some time after midnight) and concluded before birds were heard at dawn.
The bṛhatī meter, used as a congruence symbol for the year in Vedic texts, contains how many syllables?
✔ Answer: B — The bṛhatī meter has 36 syllables, which the Vedic texts equate with the year (samvatsara as Prajāpati) through elaborate syllabic congruences.
The sinking-bowl water clock (ghaṭikāyantra) sank exactly how many times in one ahorātra?
✔ Answer: C — The ghaṭikāyantra sank 60 times in one ahorātra, each sinking marking one ghaṭikā (= half muhūrta = 24 modern minutes).
The Mahāsalilam (24th aṅga of VGJ) offers which pithy statement about where rain falls?
✔ Answer: B — Sage Garga's elegant meteorological statement: "wherever the wind stops, there it rains" — equivalent to modern convection-wind shear theory.
Parāśara's standardised rain gauge was a cylindrical vessel. Four ādhakas (the amount one filled vessel holds) equal:
✔ Answer: A — 4 ādhaka = 1 droṇa, which is the standard unit for seasonal rainfall measurement in Parāśara's system (~5–6 cm precipitation).
Parāśara's nakṣatra-based rainfall forecast table assigns the highest rainfall (25 droṇas) to which nakṣatras?
✔ Answer: B — Rohiṇī, Pūrva Phalgunī, and Uttara Phalgunī are each assigned 25 droṇas — the highest value in the table.
The Kauṭilya Arthaśāstra (c 4th century BCE) mentions rainfall measurement as:
✔ Answer: B — The Arthaśāstra prescribes state-level rainfall measurement and reporting for revenue planning — an early administrative meteorology system.
The Kṛṣiparāśara prescribes a seven-year rainfall cycle based on planetary rulership. In this cycle, which two years are "best" (Mercury and Venus), and how do they recur?
✔ Answer: B — In the seven-year cycle the "uttamā" years correspond to Mercury (year 4) and Venus (year 6), recurring at intervals of 2 and 5 years — matching the ~3-year El Niño/Venus visibility rhythm.
The Hindu saṅkalpa ritual recited at the start of religious ceremonies contains references to time at three scales. Which of the following is NOT one of these scales?
✔ Answer: D — The saṅkalpa covers local date, historical era, and cosmic scale — it does not explicitly reference Himalayan geology.
The Brahmāṇḍa Purāṇa's astronomical observations (Meru-Dhruva cosmology, equinoctial full moons) place it, according to the lectures, as temporally closest to which texts?
✔ Answer: B — The lecture consistently describes the Brahmāṇḍa Purāṇa as temporally closest to the Vedas among the Purāṇas, preserving the most ancient astronomical layer.
The western scholars Whitney and Keith, who opposed Jacobi's high chronology for the Ṛgveda based on the Dhruva-Thuban equation, were primarily motivated by defending which theory?
✔ Answer: B — The lecture explicitly states the opponents "were all focused to defend the Aryan Invasion Theory (AIT) of so called Aryans invading India around 1500 BCE."
Al-Biruni (c 1030 CE) wrote that Hindus described their Pole Star as at the tail of a figure of fourteen stars looking like an aquatic animal called:
✔ Answer: A — Al-Biruni quotes the Vedic qualification "Śākvara" for the powerful aquatic animal Śiśumāra (a term found only in TA II.19), showing the Vedic tradition was still alive in popular memory in his time.
The Yugapurāṇa (embedded in VGJ manuscripts) is described in the lecture as historically important because it:
✔ Answer: B — The lecture describes the Yugapurāṇa (115 verses) as providing genuine history of the Śaka invasion and the subsequent resettlement of people in twelve regions of India.
The lecture argues that a serious calendar error exists in present-day Hindu almanacs, causing Makarasaṅkrānti to be observed on ~14 January instead of ~21 December. What is identified as the root cause of this error?
✔ Answer: C — The lecture states: "Some influential sectarian religious text seems to have equated the computed Rāśi divisions (meṣa, vṛṣabha, etc.) with the then prevalent twelve solar months (chaitra, vaiśākha, etc.) somewhere around the 12th century" — causing a ~23-day drift from the actual winter solstice (uttarāyaṇa).