List of top Jyotish - Ganit Questions asked in CUET (PG)

Match List I (Coordinate Relationships) with List II (Standard Terms):

List IList II
A.\(\text{Natamsha} - \text{Krantyansha}\)I.Krantyansha
B.\(\text{Akshansha} + \text{Krantyansha}\)II.Lambansha
C.\(\text{Natamsha} - \text{Akshansha}\)III.Natamsha
D.\(90^\circ - \text{Akshansha}\)IV.Akshansha

Match List I (Astronomical Texts) with List II (Respective Authors):

List IList II
A.Pratibha-bodhakamI.Ganesh-daivajna
B.Karana-kutuhalamII.Brahmagupta
C.BrahmasphutasiddhantaIII.Sudhakara
D.GrahalaghavamIV.Bhaskara

Match List I (Trigonometric Square Root Expressions) with List II (Simplified Functions):

List IList II
A.\(\sqrt{1 - \text{Kotijya}^2}\)I.Kotijya
B.\(\sqrt{1 - \text{Jya}^2}\)II.Jya
C.\(\text{Sparsha-rekha}\) (Tangent)III.\(\frac{\text{Kotijya}}{\text{Jya}}\)
D.\(\text{Koti-sparsha-rekha}\) (Cotangent)IV.\(\frac{\text{Jya}}{\text{Kotijya}}\)

Match List I (Description of Celestial Intersections) with List II (Technical Names):

List IList II
A.Intersection of Unmandala and MeridianI.Svanirakshamandhyam
B.Intersection of Meridian and HorizonII.Dhruvasthanam
C.Intersection of Nadi-vritta and MeridianIII.Samasthanam
D.Intersection of Vimandala and EclipticIV.Pata (Node)

Match List I (Trigonometric Formula Descriptions) with List II (Geometric Components of the Vitribha Sphere):

List IList II
A.Vitribha-lagnasya NatamshajyaI.Drik-kshepa-vrittam
B.Vitribha-lagnasya UnnatamshajyaII.Sphuta-drik-kshepah
C.Krantivritta-drigvritta-yogahIII.Sphuta-drig-gatih
D.Lagnasthanat TrijyotpannavrittamIV.Vitribham

Match List I (Numerical Mnemonics) with List II (Respective Numerical Values used in Jyotish).

List IList II
A.KhanagahI.30
B.Kha-agnihII.24
C.PanchagnihIII.70
D.JinahIV.35

Match List I (Classical Synonyms/Epithets) with List II (Respective Planets/Nodes) 

List IList II
A.TapanaI.Rahu
B.MahijahII.Brihaspati
C.JeevahIII.Bhauma (Mars)
D.AguhIV.Surya

Match List I (Solar and Lunar Parameters at Specific Points) with List II (Standard Degree Values) 

List IList II
A.Samapadante suryasya mandaparidhyamahI.\(28^\circ\)
B.Samapadante chandrasya mandaparidhyamahII.\(14^\circ\)
C.Vishamapadante bhaumasya mandaparidhyamahIII.\(32^\circ\)
D.Vishamapadante budhasya mandaparidhyamahIV.\(72^\circ\)

Match List I (Algebraic Codes used in Diameter Formulas) with List II (Geometric Components): 

List IList II
A.\(2ka\)I.Laghu-vyasaha
B.\(2a\)II.Brihad-vyasaha
C.\(ka\)III.Laghu-vyasardham
D.\(a\)IV.Brihad-vyasardham

Match List I (Geometric Descriptions) with List II (Sanskrit Technical Names): 

List IList II
A.Rekhatraya-vritam kshetramI.Bahubhuja-kshetram
B.Rekhachatushtaya-vritam kshetramII.Trijya
C.Panchadi-rekhavritam kshetramIII.Chaturbhujam
D.VyasardhamIV.Tribhujam

Match List I (Trigonometric Functions in Specific Quadrants) with List II (Resulting Functions):

List IList II
A.Prathamapade GatachapajyaI.Kotijya
B.Tritiyapade GamyachapajyaII.Bhujajya
C.\(\text{Trijya} - \text{Bhujajya}\)III.Kotyutkramajya
D.\(\text{Trijya} - \text{Kotijya}\)IV.Utkramajya

Match List I (Authorities/Traditions) with List II (Measure of Earth's Circumference in Yojanas):

List IList II
A.Aryabhatokta-bhuparidhihI.\(1018 \frac{6}{10}\) yojanas
B.Saurokta-bhuparidhihII.\(1050\) yojanas
C.Bhaskarokta-bhuparidhihIII.\(1600\) yojanas
D.Varahamihira-ukta-bhuparidhihIV.\(1581 \frac{1}{24}\) yojanas
In the context of the mathematical identities found in Siddhantic trigonometry, choose the correct set of definitions:
A. \(\frac{\text{Trijya} \times \text{Kotijya}}{\text{Bhujajya}} = \text{Kotisparsharekha} \) (Cotangent)
B. \(\text{Bhujajya} - \text{Trijya} = \text{Natamshajya} \)
C. \(\frac{\text{Trijya} \times \text{Kanchha}}{\text{Tri}} = \text{Vijya} \)
D. \(\text{Tri} - \text{Bhujajya} = \text{Padujya} \)
E. \(\frac{\text{Bhujajya} \times \text{Jizjya}}{\text{Trijya}} = \text{Kranjya} \) (Sine of Declination)
Identify the correct definitions and values for time-units used in Indian chronology:
A. 1 Truti = The time taken for a needle to pierce a lotus leaf.
B. 1 Masa (Month) = 32 Ahoratras (Terrestrial Days).
C. 1 Prana = 10 Vipalas.
D. 1 Nakshatram (Sidereal Day) = 60 Nadyah (Ghatis).
E. 6 Pranas = 50 Vipalas.
Identify the correct definitions for celestial coordinate circles and parameters used in 'Goladhyaya' (Spherical Astronomy):
A. The arc of the ecliptic between the equator and the planet is called 'Kranti' (Declination).
B. The circle passing through the celestial poles and the planet's position is the 'Ahoratravritta' (Diurnal Circle).
C. The angular distance between the North Pole and the Zenith is the 'Sthanaksha' (Co-latitude).
D. The arc of the meridian between the Zenith and the celestial North Pole is called 'Lambansha'.
E. The vertical distance of a planet above the horizon is called 'Lagnansha'.
Identify the correct definitions for various time-measures (Manas) related to the Sun and Devas:
A. One complete solar year for humans is equal to one 'Deva-day' (day and night).
B. The duration between two consecutive sunrises on Earth is a 'Savana' day.
C. One complete solar year is equal to one 'Pitra-day'.
D. The time taken for the Sun to move between two successive conjunctions is a 'Saura' month.
E. One 'Savana' month consists exactly of 30 lunar days (tithis).
According to the decimal place-value system (Dashagunanika) used in Indian mathematics, identify the correct numerical equivalents for the following terms:
A. Sahasram = 1,000
B. Abjam = 100,000
C. Laksham = 100,000
D. Prayutam = 1,000,000
E. Koti = 1,000,000
Identify the correct statements regarding the classification of Time (Kaala) in Indian Astronomy from the following:
A. Lokanama-antakrit-kalah: Time is the ultimate destroyer of all worlds and beings.
B. Pranadi-kathito murtakalah: Time measured from 'Prana' onwards is called 'Murta' (manifest).
C. Trutyadyo-amurtakalah: Time measured from 'Truti' onwards is called 'Amurta' (unmanifest/abstract).
D. Nadi-shashtya tu nakshatrakalah: Exactly sixty Nadis constitute one sidereal day (Nakshatra-ahoratra).
E. Sthulakalah murtakalo bhavati: Gross time (calculable by humans) is equivalent to Murta time.
Identify the correct structural definitions from the 'Samhita' and 'Siddhanta' literature regarding the division of time and cycles:
A. Brihat Samhita states that exactly 100 Deva-years constitute a Mahayuga.
B. Exactly 60 Ghatikas constitute one complete Savana day (60 Ghatis = 1 Day).
C. Exactly 4 Yugas (Krita, Treta, Dvapara, Kali) together form one 'Mahayuga'.
D. A standard lunar month consists of exactly 30 lunar days (Tithis).
E. One 'Kritayuga' consists of 432,000 human years.
Categorize the following astronomical works into their correct traditional genres (Karana, Arsha, Tantra, etc.):
A. Grahalaghava: Karanagrantha
B. Suryasiddhanta: Arshagrantha (Divine Revelation)
C. Aryabhatiya: Tantragrantha
D. Siddhantashiromani: Tantragrantha
E. Ketaki Grahaganita: Tantragrantha
In the calculation of the Sun's longitude using the Ahargana (cumulative day count) method in 'Grahalaghava', arrange the following computational steps in their correct functional sequence:
A. Ahargana 150 = Phalam (result in minutes)
B. Finding the total Ahargana (Day count)
C. Ahargana 70 = Phalam
D. Summation of results to find the Sun's position
E. Ahargana 70 = Phalam (result in degrees)
Arrange the following steps of 'Spashta-graha-sadhana' (calculating true planetary position) in their correct mathematical sequence:
A. Mean Planet +/- Half Sheeghra Correction
B. First Manda Correction
C. Second (Final) Sheeghra Correction
D. Manda-spashta Planet
E. Anomaly (Sheeghra-kendra) Calculation
Based on the provided chronological data for astronomers, which of the following sets of dates are correctly associated with their respective authors?
A. Nilakantha: 1556 CE
B. Ramadaivajna: 1565 CE
C. Narayana: 1571 CE
D. Munishvara: 1225 CE
E. Divakara: 1265 CE
Identify the correct geometric definitions related to quadrilaterals and triangles from the following statements:
A. A figure with four equal angles and equal opposite sides is an 'Ayata' (Rectangle).
B. The sum of three angles of a triangle is less than two right angles.
C. A triangle with one angle equal to 90 degrees is a 'Sama-konam' (Right triangle).
D. A figure with all four sides equal and all four angles equal is a 'Samachatur-bhuja' (Square).
E. A triangle is defined as having exactly 5 primary components.
Identify the correct trigonometric identities used in Indian mathematical astronomy from the following list:
A. Jya(A + B) = (Jya A \(\cdot\) Kotijya B + Kotijya A \(\cdot\) Jya B) R
B. Jya(A - B) = (Jya A \(\cdot\) Kotijya B - Kotijya A \(\cdot\) Jya B) R
C. Kotijya(A + B) = (Kotijya A \(\cdot\) Kotijya B - Jya A \(\cdot\) Jya B) R
D. Kotijya(A - B) = (Kotijya A \(\cdot\) Kotijya B + Jya A \(\cdot\) Jya B) R
E. Jya(A + B) = 2 \(\cdot\) Jya A \(\cdot\) Kotijya B