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94
APPENDIX I
Exs. 65-66, p. 18. Oh learned man! tell (me) the remainder (i) after having subtracted one-sixth, one half and one-third from one dramma, and (ii) after removing one and a half, one minus one-fourth (1-1), and one plus one-eighth (1+) from six plus one-third (6+1) drammas. Ans. o; and 222 drammas.
Exs. 67-68, p. 20. Oh one with good intellect! tell me the product of three and a half (3) by nine plus one-third (9+). If you know ganita, (say) what one-fourth will really be when multiplied by a half.
Ans. 32; and §.
Exs. 69-72, p. 21. Oh ganaka! If division is known (to you) methodically, tell quickly what becomes when ten plus one-fourth (10+) is divided by six plus one-third (6+), eighty and a half by five less by one-third (5-3), a half by one-sixth, and one-fourth by three. Ans. 17; 171; 3; and
Exs. 73-76, p. 23. Oh learned man! if you know pati (arithmetic), tell (me) quickly the squares of five less by one fourth (5-1), eight and a half, one-third and one half.
Ans. 22; 72; ; and 4.
Exs. 77-80, p. 24. Oh intelligent (one)! if fractional operations are known to you, tell (me) quickly the square-roots of the squares previously obtained.1
Ans. 4; 81; and .
Exs. 81-84, p. 25. Oh learned (one)! if you know pati, tell (me) the cubes of (i) nine plus one-fourth (9+1), (ii) six lessened by one-third (6-1), (iii) one-sixth, and (iv) one-third.
Ans. 79122; 1812; 1; and 7. Exs. 85-88, p. 27. Oh friend! if you have great intelligence in the extraction of cube-root, tell me the cube-roots of the previous cubes.* Ans. 91; 5; ; and . Exs. 89-94, p. 30. If you have (acquired) proficiency in kalasavarņa, express,,,, and as having the same denominator. Ans. 118; 118: 198; 20; 26; and
Ex. 95, p. 34. Oh friend!
if you have exerted yourself in ganita, tell me the sum of ten plus one fourth (10+), one and a half and two plus one-third (2+3).
Ans. 141.
1 Cf. Ganitasarasangraha p. 27 (v. 17).
2 Ibid., p. 28 (v. 21).
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