वैदिक बीजगणित के संयुक्त संक्रिया का
अभ्यास(Exercise of Mixed Operations on
Vedic Algebra)

वैदिक बीजगणित के संयुक्त संक्रिया का अभ्यास(Exercise of Mixed Operations on Vedic Algebra)

अभ्यास – 01
निम्नलिखित प्रश्नों के उत्तर सूत्र ऊर्ध्वतिर्यग्भ्याम् तथा द्वंद्वयोग के प्रांगण द्वारा किजिये (Solve the
following problems with the use of Sutras Vertically and Crosswise Method and Duplex.) :-

(1) (2x + 5) – (3x – 2) – (4x + 3) + (7x – 3)
(2) (3x + 2) + (4x – 2) – (3x + 1) + (5x + 4)
(3) (2x + 5) + (7x – 4) – (3x + 7) – (2x + 7) – (2x + 9)
(4) (2x + 5) + [(7x – 3)(3x + 7)] – (2x – 9)
(5) (2x + 1)² – [(3x – 2)(4x + 3)] + (x² + 7x – 3)
(6) [(2x + 1)(3x – 2)] – [2x (4x + 3)] + [(3x – 1)(2x + 3]
(7) [(7x + 5)(3x – 1)] + [(2x – 1)(7x – 3)] – [(5x + 2) (2x – 5)]
(8) (2x + 3)² – (x² + 3x + 2) – (x² + 3x – 7) + (2x² +3x + 1)
(9) (x² + 2x – 1)² – (x³ – 3x² + 3x – 1) + [(x² + 5x – 4)(x² – x – 12)
(10) (x² + 2x + 1)² – [(3x² + x – 2)(2x² + 3x – 1)] + (x⁴ + 4x³ + 10x² 4x + 7)
(11) (3x² – 2x + 3)² – [(3x² + 5x – 2)(7x² + 3x – 4)] + (x⁴ – 4x³ + 10x² – 4x + 1)

वैदिक अंकगणित के संयुक्त संक्रिया का अभ्यास (Exercise of Mixed
Operations on Vedic Arithmetic)
अभ्यास – 02
निम्नलिखित प्रश्नों के उत्तर सूत्र निखिलम्, ऊर्ध्वतिर्यग्भ्याम् तथा द्वंद्वयोग के प्रांगण द्वारा किजिये (Solve the
following problems with the use of Sutras Nikhilam, Vertically and Crosswise Method and
Duplex.) :-
(01) 62 + 47 – 51 + 59 – 22 – 63
(02) 92 + 61 – 45 + 24 – 31 + 22
(03) 245 + 624 – 375 + 281 – 122
(04) 262 – 35 + 152 – 121 + 53
(05) (63 × 35) + 213
(06) 316 + (41 × 34)
(07) (61 × 43) – 641
(08) (81 × 34) – 346
(09) (104 × 97) + (105 × 98)

(10) (106 × 107) + (94 × 97)
(11) (109 × 110) – (104 × 106)
(12) (97 × 95) + (94 × 98)
(13) (996 × 997) – (992 × 993)
(14) (105 × 107) + (102 × 106)
(15) (1007 × 1009) + (996 × 997)
(16) (31 × 43) – 134 + (25 × 41)
(17) (92 × 97) + (96 × 95) – (97 × 99)
(18) (10021 × 10025) + (10060 × 10005)
(19) (105 × 107) – (102 × 106) + (101 × 112)
(20) (1012 × 1010) + (1005
(21) (9995 × 9989) + (9970 × 9960) – (9980 ×9990)
(22) (1012 × 1010) – (1005 × 1006) + (1011 × 1006)
(23) (23)² + (36 × 43) – 271 + (63 × 31)
(24) 78354 – (213 × 321) + (214)²
(25) [(52)² × (23)²] + 402 – 600 + [725 × (25)² × 41]
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