72. What number divided by six has a remainder of five, divided by five has a remainder of four, by four a remainder of three and by three one of two?
Answer—59. Br. xviii, 7; V. 160.
73. What square multiplied by eight and having one added to the product will be a square? V. 82.
Here and u=6, 35, etc. t=17, 99, etc.
74. Making the square of the residue of signs and minutes on Wednesday multiplied by ninety-two and eighty-three respectively with one added to the product an exact square; who does this in a year is a mathematician. Br. xviii, 67.
.
Answer—.
75. What is the square which multiplied by sixty-seven and one being added to the product will yield a square-root; and what is that which multiplied by sixty-one with one added to the product will do so likewise? Declare it, friend, if the method of the 'rule of the square' be thoroughly spread, like a creeper, over thy mind? V. 87.
Answers—(1) u=5967, t=48842. (2) u=226,153,980, t=1,766,319,049.
76. Tell me quickly, mathematician, two numbers such that the cube-root of half the sum of their product and the smaller number, and the square-root of the sum of their
L=the Līlāvatī, V=Vīja Gaņita, both by Bhāskara, M=Mahāvīra, S=Srīdhara, C=Chaturveda.