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

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
Arrange the following astronomical texts in chronological order based on their period of composition:
A. Brahmasphutasiddhanta
B. Trishatika
C. Panchasiddhantika
D. Aryabhatiya
E. Khandakhadyaka
Arrange the following celestial elements in the correct logical sequence of their study/definition while learning spherical astronomy:
A. Yamya-uttaravrittam (Meridian)
B. Khamadhyam (Zenith)
C. Shanku (Gnomon)
D. Drigvrittam (Vertical Circle)
E. Kshitijavrittam (Horizon)
Arrange the following phases of a total solar eclipse in their correct chronological sequence:
A. Mokshah (Release)
B. Sparshah (First Contact)
C. Sammilanam (Total Immersion)
D. Unmilanam (Emergence)
E. Madhyam (Maximum Phase)
In Aryabhata's alphabetical notation system, arrange the following syllables in increasing order of the decimal place values they represent:
A. Ri
B. Ki
C. Ra
D. Yu
E. Ku
Arrange the following planets in increasing order of their 'Asta-kalasha' (Arc of visibility/setting degrees):
A. Neechasthah Shukrah (Venus at perigee)
B. Guruh (Jupiter)
C. Shanih (Saturn)
D. Mangalah (Mars)
E. Margi Budhah (Direct Mercury)
Arrange the following Nakshatras in their correct reverse order (Vyutkramah) relative to their standard sequence:
A. Ashlesha
B. Swati
C. Purva Phalguni
D. Anuradha
E. Hasta
Arrange the following day-measures (Dina-manas) in increasing order of their duration (Vriddhy-anusaram):
A. Savana-dinam (Terrestrial Day)
B. Paitra-dinam (Lunar Month)
C. Nakshatra-dinam (Sidereal Day)
D. Brahma-dinam (Kalpa)
E. Divya-dinam (Solar Year)
Assertion (A): The center of the Ecliptic (Kranti-vritta) and the North Pole of the Ecliptic (Kadamba) are essential reference points in celestial geometry.
Reason (R): This is because the distance between the pole of a circle and every point on that circle is exactly ninety degrees (90\(^\circ\)).
Assertion (A): If the first number \( k = 5 \) and the second number \( kh = 10 \), then the square of their sum is 225.
Reason (R): This is derived from the algebraic identity: \( (k + kh)^2 = k^2 + 2k \cdot kh + kh^2 \).
Arrange the following Ritus (Seasons) in their correct sequential order starting from the month of Chaitra (the beginning of the lunar year):
A. Grishma (Summer)
B. Sharad (Autumn)
C. Vasanta (Spring)
D. Hemanta (Pre-winter)
E. Varsha (Monsoon)
According to the Surya Siddhanta, what is the correct downward sequence of the planetary orbits starting from the orbit of Saturn?
In the 'Pitra-day' (time-measure for the Manes), what is the correct chronological sequence of lunar tithis from the moment of their sunrise to midnight?
Assertion (A): The calculation of Ahargana (cumulative day count) is performed primarily to determine the mean positions of planets (Madhyama-sadhana).
Reason (R): This is because the mathematical relationship between time and planetary revolutions leads to the manifestation of their visible celestial motion.
Assertion (A): The concept of 'Vidhoma' and 'Paitra' lunar cycles refers to the specific month-types defined in Vedic time-keeping.
Reason (R): This is based on the standard rule that exactly thirty lunar days (Tithis) constitute a lunar month (Chandra Maasa).
Assertion (A): The specific differences in longitudes between signs, such as the pair (21, 29), are crucial for determining local planetary times.
Reason (R): This is because the local time of rising (Udaya-Maana) for signs varies based on the latitude of the observer.
Assertion (A): The formula for the Lambajya (Cosine of Latitude) can be expressed as: \( \text{Lambajya} = \frac{\text{Palabha} \times \text{Trijya}}{\text{Palakarna}} \).
Reason (R): This is because all 'Aksha-kshetras' (latitude triangles) in a sphere are similar triangles (Sajatiya Kshetras).
Assertion (A): The phenomenon of eclipses arises from the periodic conjunction (Amavasya) and opposition (Purnima) of the Sun and the Moon.
Reason (R): This celestial geometry is mathematically derived from the remnants (Shesha) of the solar and lunar months and the calculation of intercalary months (Adhimasa).
Assertion (A): In the standard sine-table derivation, the difference $3538 - 3534 = 4$ represents the value of the first Utkramajya (Versine).
Reason (R): This value is geometrically derived from the relationship between the radius (Vyasardha) and the standard sines of a quadrant.
Assertion (A): Time (Kaala) is identified as both 'Prana' (the life-breath) and 'Murti' (the manifested form) in Jyotish Shastra.
Reason (R): This identification is necessary for its application in gross worldly dealings and practical time-keeping (Sthula-vyavahara).
How many fundamental components (Avayava) or parts does a triangle (Tribhuja) possess in the study of geometry?
In the symbolic notation used in Indian mathematical astronomy, which consonant/vowel is typically used to denote 'similarity' or 'equality' (Samana-sambandha)?
What is the technical name given to the difference (elongation) between the longitudes of the Sun and the Moon?
What is the total sum of the interior angles of a triangle (Tribhuja) measured in degrees?
What is the name for the difference between the true longitude (Spashta) and mean longitude (Madhyama) of a planet?