<\/p>Q.
There are five members in a family \u2013 P, Q, R, S, and T. one fourth of the sum age of all members (except T) is 29 years. Find the age of T.<\/p>
Statement I: Ratio of age of R, S, and T is 9:10:5 respectively and 20% of sum of ages of P and Q is 8 years<\/p>
Statement II: Age of P is 50% more than Q, age of R is 10% less than S, while R is 12 years older than P. Difference between age of S and T is 20 years.<\/p>
Statement III: Difference between Age of Q and T is 4 years. T is not the youngest person in the family.<\/p>
A. alone is sufficient to answer<\/p>
B. Either I or II alone is sufficient to answer<\/p>
C.II alone is sufficient to answer<\/p>
D. Either I alone or II and III together is sufficient to answer<\/p>
E. Any one of them is sufficient<\/p> Ans: Either I alone or II and III together is sufficient to answer<\/span><\/p>\n\n\n\n Sol:<\/p>\n\n\n\n (P + Q + R + S) = 29 x 4 = 116 years So, age of T = 5 x 4 = 20 years This combination is sufficient to answer the Q. There are five members in a family \u2013 P, Q, R, S, and T. one fourth of the sum age of all members (except T) is 29 years. Find the age of T. Statement I: Ratio of age of R, S, and T is 9:10:5 respectively and 20% of sum of ages of P […]<\/p>\n","protected":false},"author":419,"featured_media":162668,"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-162667","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\/162667","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=162667"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162667\/revisions"}],"predecessor-version":[{"id":162669,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162667\/revisions\/162669"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162668"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162667"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162667"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162667"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
From Statement I,
Let respective age of R, S, and T = 9a, 10a and
5a
(P + Q) = 5 x 8 = 40
Also,
(P + Q + R + S) = 116 years
So,
40 + 9a + 10a = 116
Value of a = 4<\/p>\n\n\n\n
This statement alone is sufficient to answer the
question.
From Statement II,
Let age of P and Q = 3a and 2a
Let age of R and S = 9b and 10b
Also, (P + Q + R + S) = 116
So,
3a + 2a + 9b + 10b = 116
5a + 19b = 116\u2026\u2026\u2026\u2026\u2026\u2026 (1)
Also,
9b \u2013 3a = 12
3b \u2013 a = 4\u2026\u2026\u2026\u2026\u2026\u2026 (2)
On solving both equations
34b = 136
Value of b = 4
Value of a = 8
So, age of S = 10 x 4 = 40 years
Age of T = 40 + 20 or 40 \u2013 20 = 60 or 20
This statement alone is not sufficient to answer
the question.
From Statement III,
T \u2013 Q = 4
This statement alone is not sufficient to answer
the question.
On combining Statement (II + III),
Age of P = 3a = 24 years
Age of Q = 2a = 2 x 8 = 16
Age of R = 36
Age of S = 40
Age of T = 16 + 4 = 20 years<\/p>\n\n\n\n
question.
Either I alone or II and III together is sufficient to
answer the question.
Hence answer is option D<\/p>\n","protected":false},"excerpt":{"rendered":"