{"id":12184,"date":"2018-12-06T10:22:14","date_gmt":"2018-12-06T04:52:14","guid":{"rendered":"http:\/\/race4job.com\/blog\/?p=12184"},"modified":"2018-12-06T10:22:32","modified_gmt":"2018-12-06T04:52:32","slug":"quantitative-aptitude-223","status":"publish","type":"post","link":"https:\/\/www.race4job.com\/blog\/quantitative-aptitude-223\/","title":{"rendered":"Quantitative Aptitude"},"content":{"rendered":"
\n

1. A boy has 3 library cards and 8 books of his interest in the library. Of these 8, he does not want to borrow chemistry part II unless Chemistry part I is also borrowed. In how many ways can he choose the three books to be borrowed?\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0(4)<\/strong><\/span><\/p>\n

    \n
  1. (1) 56<\/li>\n
  2. (2) 27<\/li>\n
  3. (3) 26<\/li>\n
  4. (4) 41<\/li>\n
  5. (5) None of these<\/li>\n<\/ol>\n<\/div>\n
    \n

    2. In how many ways can 7 persons be seated at a round table if 2 particular persons must not sit next to each other?\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(3)<\/strong><\/span><\/p>\n

      \n
    1. (1) 5040<\/li>\n
    2. (2) 240<\/li>\n
    3. (3) 480<\/li>\n
    4. (4) 720<\/li>\n
    5. (5) None of these<\/li>\n<\/ol>\n<\/div>\n
      \n

      3. In how many different ways can the letters of the word \u2018MATHEMATICS\u2019 be arranged so that the vowels always come together?\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(3)<\/strong><\/span><\/p>\n

        \n
      1. (1) 10080<\/li>\n
      2. (2) 4989600<\/li>\n
      3. (3) 120960<\/li>\n
      4. (4) 12960<\/li>\n
      5. (5) None of these<\/li>\n<\/ol>\n<\/div>\n
        \n

        4. There are 4 candidates for the post of a lecturer in Mathematics and one is to be selected by votes of 5 men. The number of ways in which the votes can be given is\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0(1)<\/strong><\/span><\/p>\n

          \n
        1. (1) 24<\/li>\n
        2. (2) 36<\/li>\n
        3. (3) 40<\/li>\n
        4. (4) 48<\/li>\n
        5. (5) None of these<\/li>\n<\/ol>\n<\/div>\n
          \n

          5. The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(1)<\/strong><\/span><\/p>\n

            \n
          1. (1) 6 ! \u00d7 5 !<\/li>\n
          2. (2) 5 ! \u00d7 4 !<\/li>\n
          3. (3) 30<\/li>\n
          4. (4) 7 ! \u00d7 5 !<\/li>\n
          5. (5) None of these<\/li>\n<\/ol>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

            1. A boy has 3 library cards and 8 books of his interest in the library. Of these 8, he does not want to borrow chemistry part II unless Chemistry part I is also borrowed. In how many ways can he choose the three books to be borrowed?\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-12184","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/posts\/12184","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/comments?post=12184"}],"version-history":[{"count":1,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/posts\/12184\/revisions"}],"predecessor-version":[{"id":12185,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/posts\/12184\/revisions\/12185"}],"wp:attachment":[{"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/media?parent=12184"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/categories?post=12184"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.race4job.com\/blog\/wp-json\/wp\/v2\/tags?post=12184"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}