{"id":8054,"date":"2022-11-15T10:45:04","date_gmt":"2022-11-15T05:15:04","guid":{"rendered":"http:\/\/conceptsdk.com\/?page_id=8054"},"modified":"2022-11-15T12:03:35","modified_gmt":"2022-11-15T06:33:35","slug":"chapter-2-linear-equations-in-one-variable","status":"publish","type":"page","link":"https:\/\/conceptsdk.com\/?page_id=8054","title":{"rendered":"Chapter 2- Linear Equations in One Variable MCQ Based Questions"},"content":{"rendered":"\n

For Olympiads I RMS I Sainik School<\/strong><\/p>\n\n\n\n

  1. The standard form of a linear equation in one variable x is
    (a) ax + b = 0<\/strong>
    (b) ax\u00b2 + bx + c = 0
    (c) ax\u00b3 + bx\u00b2 + cx + d = 0
    (d) ax4<\/sup> + bx\u00b3 + cx\u00b2 + dx + e = 0.<\/li>
  2. One number is greater than the other number by 3. The sum of two numbers is 23. The two numbers are
    (a) 13, 10<\/strong>
    (b) 14, 9
    (c) 12, 11
    (d) 15, 8.<\/li>
  3. Twice a number is as much greater than 30 as the three times of the number less than 60. The number is
    (a) 6
    (b) 9
    (c) 12
    (d) 18.<\/strong><\/li>
  4. If two angles are supplementary and one angle is double the other, then the larger angle is
    (a) 60\u00b0
    (b) 90\u00b0
    (c) 120\u00b0<\/strong>
    (d) 180\u00b0.<\/li>
  5. The root of the equation 32 x = \u2013 27 is
    (a) 6
    (b) 12
    (c) 18
    (d) -18<\/strong><\/li>
  6. If two angles are complementary and one angle is 10\u00b0 greater than the other, then the smaller angle of the two is
    (a) 40\u00b0<\/strong>
    (b) 50\u00b0
    (c) 90\u00b0
    (d) 180\u00b0.<\/li>
  7. The root of the equation 7 (x \u2013 1) = 21 is
    (a) 1
    (b) 2
    (c) 3
    (d) 4.<\/strong><\/li>
  8. The root of the equation 2\/3 y = 5\/12 is
    (a) 8\/5
    (b) 5\/8<\/strong>
    (c) 5
    (d) 8<\/li>
  9. The root of the equation
    11x \u2013 5 \u2013 x + 6 = 2x + 17 is
    (a) 1
    (b) 2<\/strong>
    (c) 3
    (d) 4.<\/li>
  10. The root of the equation
    13x \u2013 14 = 9x + 10 is
    (a) 1
    (b) 2
    (c) 3
    (d) 6.<\/strong><\/li>
  11. The root of the equation
    (2x \u2013 1) + (x \u2013 1) = x + 2 is
    (a) 1
    (b) 2<\/strong>
    (c) -1
    (d) -2.<\/li>
  12. The root of the equation 2y = 5 (7 \u2013 y ) is
    (a) 5<\/strong>
    (b) -5
    (c) 3
    (d) -3.<\/li>
  13. The root of the equation 4x\/7 \u2013 12 = 0 is
    (a) 7
    (b) 14
    (c) 21<\/strong>
    (d) -21<\/li>
  14. The root of the equation 9z \u2013 15 = 9 \u2013 3z is
    (a) 1
    (b) 2<\/strong>
    (c) 3
    (d) 4.<\/li>
  15. The root of the equation 3x + 4 = 13 is
    (a) 1
    (b) 2
    (c) 3<\/strong>
    (d) 4.<\/li>
  16. The root of the equation 3y + 4 = 5y \u2013 4 is
    (a) 1
    (b) 2
    (c) 3
    (d) 4.<\/strong><\/li>
  17. The root of the equation 5x\/3 = 30 is
    (a) 9
    (b) 12
    (c) 15
    (d) 18<\/strong><\/li>
  18. The root of the equation 14 \u2013 x = 8 is
    (a) 2
    (b) 4
    (c) 6<\/strong>
    (d) 8.<\/li>
  19. The root of the equation y\/3 \u2013 7 = 11 is
    (a) 54<\/strong>
    (b) -54
    (c) 18
    (d) -18<\/li>
  20. The root of the equation 2y = 5(3 + y) is
    (a) 5
    (b) 1\/5
    (c) -5<\/strong>
    (d) \u20131\/5The root of the equation 3x + 8 = 14 is
    (a) 1
    (b) 2<\/strong>
    (c) -1
    (d) 12<\/li>
  21. The root of the equation x \u2013 8 = 2 is
    (a) 2
    (b) 8
    (c) 6
    (d) 10.<\/strong><\/li>
  22. The root of the equation x + 3 = 5 is
    (a) 1
    (b) 2<\/strong>
    (0 -1
    (d) -2.<\/li>
  23. The root of the equation 5x \u2013 8 = 7 is
    (a) 1
    (b) 2
    (c) 3<\/strong>
    (d) -3.<\/li>
  24. The value of x in \u20132\/3 = 2x is 3
    (a) 1\/3
    (b) \u20131\/3<\/strong>
    (c) 3
    (d) \u2013 3.<\/li>
  25. 3\/4 part of a number is 5 more than its 2\/3 part. This statement in the form of an equation is
    (a) 2\/3 x \u2013 3\/4 x= 5
    (5) 2\/3 x \u2013 5 =3\/4 x
    (c) 3\/4 x = 2\/3 x + 5<\/strong>
    (d) 3\/4 x \u2013 5 = \u20132\/3 x<\/li>
  26. The value of x in 3\/4 x = 7 \u2013 x is
    (a) 4<\/strong>
    (b) 3
    (c) 7\/3
    (d) 7.<\/li>
  27. The root of the equation \u20135\/4x = 15 is
    (a) 1\/12
    (b) \u20131\/12
    (c) 1\/20<\/strong>
    (d) \u20131\/20<\/li>
  28. When 9 are added to two times a number, we get 67. The number is
    (a) 25
    (b) 27
    (c) 29<\/strong>
    (d) 31.<\/li>
  29. In a two digit number, the unit\u2019s digit is x and the ten\u2019s digit is y. Then, the number is
    (a) 10y + x<\/strong>
    (b) 10x + y
    (c) 10y \u2013 x
    (d) 10x \u2013 y.<\/li>
  30. The difference of two numbers is 21. The larger number is x. The smaller number is
    (a) 21 + x
    (b) 21 \u2013 x
    (c) x \u2013 21<\/strong>
    (d) -x \u2013 21.<\/li>
  31. x is an odd number. The largest odd number preceding x is
    (a) x \u2013 1<\/strong>
    (b) x \u2013 2
    (c) x \u2013 3
    (d) x \u2013 4.<\/li>
  32. If x is an even number then the consecutive even number is
    (a) x + 1
    (b) x + 2<\/strong>
    (c) 2x
    (d) x \u2013 1.<\/li>
  33. The largest number of the three consecutive numbers is x + 1. Then, the smallest number is
    (a) x + 2
    (b) x + 1
    (c) x
    (d) x \u2013 1.<\/strong><\/li>
  34. The solution of the equation 5\/x = 2 is
    (a) 10
    (b) 2\/5
    (c) 5\/2<\/strong>
    (d) 1\/10<\/li>
  35. The root of the equation 2x + 3 = 2(x \u2013 4) is
    (a) 2
    (b) 4
    (c) 0
    (d) does not exist.<\/strong><\/li>
  36. The root of the equation 3x = 20\/7 \u2013 x is
    (a) 10
    (b) 20\/21
    (c) \u20135\/7
    (d) 5\/7<\/strong><\/li>
  37. The root of the equation z + 4 = -8 is
    (a) 3
    (b) -32<\/strong>
    (c) 12
    (d) 4.<\/li>
  38. On subtracting 30 from two times a number, we get 56. This statement in the form of an equation is
    (a) 2x \u2013 30 = 56<\/strong>
    (b) 2x + 30 = 56
    (c) 30 \u2013 2x = 56
    (d) 30\/2x = 56.<\/li>
  39. If 6 is added to 3 times of a number, it becomes 15. This statement in the form of an equation is
    (a) 3x + 6 = 15<\/strong>
    (b) 3x \u2013 6 = 15
    (c) 3x + 15 = 6
    (d) 3x\/6 = 15<\/li>
  40. A number when subtracted from 40 results into 15. This statement in the form of an equation is
    (a) 40 \u2013 x = 15<\/strong>
    (b) x \u2013 40 = 15
    (c) 40 + x = 15
    (d) 40x = 15.<\/li>
  41. A number when divided by 5 gives 6. This statement in the form of an equation is
    (a) x \u2013 5 = 6
    (b) x + 5 = 6
    (c) x\/5 = 6<\/strong>
    (d) 5x = 6.<\/li>
  42. Seven times a number is 42. This statement in the form of an equation is
    (a) x + 7 = 42
    (b) 7x = 42<\/strong>
    (c) x\/7 = 42
    (d) x \u2013 7 = 42.<\/li>
  43. If 15 is subtracted from a number, it becomes -5. This statement in the form of an equation is
    (a) x + 15 = -5
    (b) x \u2013 15 = 5
    (c) x + 15 = 5
    (d) x \u2013 15 = -5.<\/strong><\/li>
  44. If 9 is added to a number, it becomes 25. This statement in the form of an equation is
    (a) x + 9 = 25<\/strong>
    (b) x \u2013 9 = 25
    (c) 9x = 25
    (d) x\/9 = 25.<\/li>
  45. The statement \u2018on adding 10 in a number, the number becomes 20\u2019 in the form of an equation is
    (a) x \u2013 10 = 20
    (b) x + 10 = 20<\/strong>
    (c) 10x = 20
    (d) x\/10 = 20.<\/li>
  46. The degree of the equation x\u00b2 \u2013 2x + 1 = x\u00b2 \u2013 3 is
    (a) 1<\/strong>
    (b) 2
    (c) 0
    (d) 3.<\/li>
  47. Of the following, the linear equation in one variable x, is
    (a) 4\/x = x\/4
    (b) 1\/x + 1\/x\u22121 = 1
    (c) x\/2 + x\/3 + 1\/4<\/strong>
    (d) x\u00b2 + 2x + 3 = 0.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"

    For Olympiads I RMS I Sainik School The standard form of a linear equation in one variable x is(a) ax + b = 0(b) ax\u00b2 + bx + c = 0(c) ax\u00b3 + bx\u00b2 + cx + d = 0(d) ax4 + bx\u00b3 + cx\u00b2 + dx + e = 0. One number is greater than […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"class_list":["post-8054","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/conceptsdk.com\/index.php?rest_route=\/wp\/v2\/pages\/8054","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/conceptsdk.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/conceptsdk.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/conceptsdk.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/conceptsdk.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8054"}],"version-history":[{"count":5,"href":"https:\/\/conceptsdk.com\/index.php?rest_route=\/wp\/v2\/pages\/8054\/revisions"}],"predecessor-version":[{"id":8068,"href":"https:\/\/conceptsdk.com\/index.php?rest_route=\/wp\/v2\/pages\/8054\/revisions\/8068"}],"wp:attachment":[{"href":"https:\/\/conceptsdk.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8054"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}