Linear Equations in One Variable

15. The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What is the smallest number?

  • (A) 42
  • (B) 44
  • (C) 46
  • (D) 48

14. The standard form of a linear equation in one variable x is

  • (A) ax + b = 0
  • (B) ax² + bx + c = 0
  • (C) ax³ + bx² + cx + d = 0
  • (D) ax4 + bx³ + cx² + dx + e = 0

13. 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 – 1

12. If x is an even number, then the next even number is

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

11. x is an odd number. The largest odd number preceding x is

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

10. The difference of two numbers is 21. The larger number is x. The smaller number is

  • (A) 21 + x
  • (B) 21 – x
  • (C) x – 21
  • (D) –x – 21

9. In a two digit number, the unit’s digit is x and the ten’s digit is y. Then, the number is

  • (A) 10y + x
  • (B) 10x + y
  • (C) 10yx
  • (D) 10xy

8. When 9 is added to two times a number, we get 67. The number is

  • (A) 25
  • (B) 27
  • (C) 29
  • (D) 31

7. If two angles are complementary and one angle is 10° greater than the other, then the smaller angle of the two is

  • (A) 40°
  • (B) 50°
  • (C) 90°
  • (D) 180°

6. If two angles are supplementary and one angle is double the other, then the larger angle is

  • (A) 60°
  • (B) 90°
  • (C) 120°
  • (D) 180°

5. 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

4. One number is greater than the other number by 3. The sum of two numbers is 23. The two numbers are

  • (A) 13, 10
  • (B) 14, 9
  • (C) 12, 11
  • (D) 15, 8

3. The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.

  • (A) 112
  • (B) 126
  • (C) 119
  • (D) 116

2. Fifteen added to thrice a whole number gives 93. The number is

  • (A) 26
  • (B) 21
  • (C) 23
  • (D) 28

1. The sum of three consecutive integers is 12. Smallest number among them is

  • (A) 4
  • (B) 5
  • (C) 2
  • (D) None of these

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