पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/५०४

306 GANITASARASANGRAHA. (41) 36; 25; (42) 333, 111, 919 (48) 1; 8; 27, 64, 125; 216, 343; 512,729, 3375, 15625, 46656; 456533; 881736 (49) 1030301, 5088118, 137388096, 368601813, 2+27715584. (50) 9663597; 77308776, 260917119, 618470208, 1207949625. (51) 4741632, 37933056; 128024064, 303161118, 592704000, 1024192512; 1626379776, 2427715584. (52) 859011369945948864 (55) 1, 2, 3, 4, 5, 6, 7, 8, 9, 17; 123. (56) 21; 333, 852. (57) 6461, 4242. (58) 426; 639. (59) 1344, 1176. (60) 950604 (65) 55, 110, 165, 220, 275; 330, 385, 440; 495, 550. (66) 40. (67) 564; 754; 980, 1245, 1552, 1904; 2304 (68) 4000000. (71) 5; 8, 15 (72) 9; 10 (77) 2, 2. (79) 2; 520; 10; when the chosen numbers are 2 and 10. (83) 2, 3, 5: 2; 3; 5. (85) 120, 24, when the sum of the required series is twice the known sum 30; 60, when the sum of the required series is half of the known sum. (87) 46, 4, when the sums are equal 36; 24; when one of the sums is twice the other 44, 26, when one of the sums is thrice the other. (88) 100; 216; when the sums are equal 232; 192; when one of the sums is twice the other 34; 228; when one of the sums 1s half of the other. (90) 21; 17; 13, 9, 5, 1 25; 17; 9; 1. (92) 6; 5; 4, 3; 2, 1. (96) 4374 coins. (99) 1275 dinaras. (100) 68887; 22888183593. (102) 4; 2. (104) 4. (105) 8; 9; 15. (111) 224; 201; 175; 244; 261. (112) 4836; 4656; 4200; 75250. (113) 182938; 5846. (114) 180; 112; 60; 40. (115) 4092; 2044; 1020; 508; 252; 124; 60.