Linear Equations in One Variable

31. 3 years ago, the age of a boy was y years. His age 2 years ago was

  • (A) (y – 2)  
  • (B) (y + 2)
  • (C) (y + 1)  
  • (D) (2y – 3)

30. If the sum of two consecutive numbers is 93 and one of them is x, then the other number is

  • (A) 93 + x
  • (B) 93 – x
  • (C) x – 93
  • (D) x + 93

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

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

28. On subtracting 8 from x, the result is 2. The value of x is

  • (A) –6
  • (B) 6
  • (C) 10
  • (D) 0

27. When a number is divided by 8, the result is –3. The number is

  • (A) 24
  • (B) –24 
  • (C) –8 
  • (D) 38

26. What is the share of A, when ₹25 are divided between A and B so that A gets ₹8 more than B is

  • (A) ₹15.5
  • (B) ₹16.5
  • (C) ₹15  
  • (D) ₹16

25. When 9 is subtracted from the product of p and 4, the result is 11. The value of p is

  • (A) 4
  • (B) 5
  • (C) 11
  • (D) 20

24. After 18 years, Swapan will be 4 times as old as he is now. His present age is

  • (A) 4
  • (B) 5
  • (C) 7
  • (D) None of these

23. The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is

  • (A) (N + 1)/(N + 5)
  • (B) (N + 1)/(N + 10)
  • (C) (N + 1)/(N + 9)  
  • (D) (N + 1)/(N + 19)

22. The sum of two consecutive multiples of 10 is 210. The smaller multiple is

  • (A) 70
  • (B) 80
  • (C) 90
  • (D) 100

21. The number of boys and girls in a class are in the ratio 5 : 4. If the number of boys is 9 more than the number of girls, then number of boys is

  • (A) 19
  • (B) 9
  • (C) 10
  • (D) 12

20. Five years ago A was thrice as old as B was. The sum of the ages of A and B after five years would be

  • (A) (4x + 5) years
  • (B) (4x + 10) years
  • (C) (3x + 5) years
  • (D) (3x + 10) years

19. Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is

  • (A) 40
  • (B) 48 
  • (C) 46
  • (D) None of these

18. The perimeter of a rectangle is 13 cm and its width is 2 ¾ cm. What is its Length?

  • (A) 3 ¾ cm
  • (B) 2 ½ cm  
  • (C) 3 ½ cm  
  • (D) 4 ¾ cm

17. The present age of Sahil’s mother is three times the present age of Sahil. After 5 years their ages will add to 66 years. What is the age of his mother?

  • (A) 42
  • (B) 41
  • (C) 40
  • (D) 45

16. Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of ₹77, how many coins of ₹2 coins was there?

  • (A) 22
  • (B) 21
  • (C) 20
  • (D) 25

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