There are three persons P, Q, and R in a family, their ages arranged in ascending order (P < Q < R). Difference between the present age of P and Q is the same as that of Q and R, while the difference between the ages of P and Q is more than 2. Product of their ages is 400% more than the sum of their ages. Find unit digit of (R \u2013 P) 13579. Ages of all three numbers are integers. <\/p>\n\n\n\n
A.6<\/p>\n\n\n\n
B.1<\/p>\n\n\n\n
C.9<\/p>\n\n\n\n
D.4<\/p>\n\n\n\n
E. None of these<\/p>\n\n\n\n
Ans: 4<\/p>\n\n\n\n
Sol:<\/p>\n\n\n\n
According to question, <\/p>\n","protected":false},"excerpt":{"rendered":" There are three persons P, Q, and R in a family, their ages arranged in ascending order (P < Q < R). Difference between the present age of P and Q is the same as that of Q and R, while the difference between the ages of P and Q is more than 2. Product […]<\/p>\n","protected":false},"author":419,"featured_media":162629,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-162628","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162628","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=162628"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162628\/revisions"}],"predecessor-version":[{"id":162630,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162628\/revisions\/162630"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162629"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162628"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162628"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Q \u2013 P = R \u2013 Q
2Q = P + R\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026. (1)
That means P, Q, and R in increasing AP.
P x Q x R = 500% x (P + Q + R)
P x Q x R = 5 x (P + Q +
R)\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026..(2)
Put 2Q = P + R
So,
P x Q x R = 5 x (2Q + Q)
P x Q x R = 15Q
P x R = 15
15 = 3 x 5
15 = 1 x 15
Difference between P and Q is more than 2, that
means difference between P and R is surely
more than difference between P and Q
So, P = 1, and R = 15
(R \u2013 P) = 14
1413579 = 4
41<\/sup> = 4
42<\/sup> = 6
43<\/sup> = 4
So on odd powers of 4, we get unit digit 4
Hence answer is option D<\/p>\n\n\n\n