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For a pos itive integer n let pn denote the product

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Unformatted text preview: d 19. For a pos itive integer n, let pn denote the product of the digits of n, and s n denote the s um of the digits of n. The num ber of integers between 10 and 1000 for which pn + s n = n is a . 81 b . 16 c. 1 8 d. 9 e .No t Atte mp te d 20. Rectangular tiles each of s ize 70 cm by 30 cm m us t be laid horizontally on a rectangular floor of s ize 110 cm by 130 cm , s uch that the tiles do not overlap. A tile can be placed in any orientation s o long as its edges are parallel to the edges of the floor. No tile s hould overs hoot any edge of the floor. The m axim um num ber of tiles that can be accom m odated on the floor is a. 4 b. 5 c. 6 d. 7 e .No t Atte mp te d 21. In the X-Y plane, the area of the region bounded by the graph of |x + y| + |x - y| = 4 is a. 8 b . 12 c. 1 6 d . 20 e .No t Atte mp te d 22. In the following figure, the diam eter of the circle is 3 cm . AB and MN are two diam eters s uch that MN is perpendicular to AB. In addition, CG is perpendicular to AB s uch that AE:EB = 1:2, and DF is perpendicular to MN s uch that NL:LM = 1:2. The length of DH in cm is a . 2 √2 -1 b . (2 √2 -1 )/2 c. (3 √2 -1 )/2 d . (2 √2 -1 )/3 e .No t Atte mp te d 23. Cons ider the triangle ABC s hown in the following figure where BC = 12 cm , DB = 9 cm , CD = 6 cm an...
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