Linear Equations in One Variable

47. If 8x – 3 = 25 +17x, then x is

  • (A) a fraction
  • (B) an integer
  • (C) a rational number
  • (D) cannot be solved

46. The value of x in –2/3 = 2x is 3

  • (A) 1/3
  • (B) –1/3
  • (C) 3
  • (D) – 3

45. The value of y in the equation 2y = 5 (7 – y) is

  • (A) 5
  • (B) –5
  • (C) 3
  • (D) –3

44. The value of x in the equation 7(x – 1) = 21 is

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

43. The value of q in the equation (2q – 1) + (q – 1) = q + 2 is

  • (A) 1
  • (B) 2
  • (C) –1
  • (D) –2

42. The value of t in the equation 13t – 14 = 9t + 10 is

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 6

41. Value of a in (1/3) + a = (2/5) is

  • (A) 4/5
  • (B) 1/15
  • (C) 10
  • (D) 0

40. If (5x/3) – 4 = 2x/5, then the numerical value of 2x – 7 is

  • (A) 19/13
  • (B) 0
  • (C) −13/19
  • (D) 13/19

39. What is the value of p so that 9xp = –21 has the solution (–2)?

  • (A) 4
  • (B) 3
  • (C) –3
  • (D) 0

38. If 3x – 4 (64 – x) = 10, then the value of x is

  • (A) –266
  • (B) 133
  • (C) 66.5
  • (D) 38

37. The value of p in the equation 11p – 5 – p + 6 = 2p + 17 is

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

36. The digit in the tens place of a two-digit number is 3 more than the digit in the units place. Let the digit at units place be b. Then the number is

  • (A) 11b + 30
  • (B) 10b + 30
  • (C) 11b + 3
  • (D) 10b + 3

35. In a two-digit number, the units place digit is x. If the sum of digits be 9, then the number is

  • (A) (10x – 9)
  • (B) (90 – 9x)
  • (C) (10 – 9x)
  • (D) (90x – 9)

34. Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years was

  • (A) (65 – y) years
  • (B) (60 – y) years
  • (C) (60 + y) years
  • (D) (65 + y) years

33. Amrita’s present age is thrice of Sikha. Sikha’s age three years ago was x. Then Amrita’s present age is

  • (A) 3(x – 3)
  • (B) 3x + 3
  • (C) 3x – 9
  • (D) 3(x + 3)

32. Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be

  • (A) 4p  years
  • (B) (4p + 5) years
  • (C) (4p – 5) years
  • (D) (p – 5) years

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