Algebraic Expressions and Identities

34. Simplified value of 497 × 505 is

• (A) 250985
• (B) 250958
• (C) 250895
• (D) 259085

33. Simplified value of 2.07 × 1.93 is

• (A) 3.9951
• (B) 3.9591
• (C) 3.5991
• (D) 3.5951

32. Simplified value of (38² – 22²)/16 is

• (A) 16
• (B) 60
• (C) 160
• (D) 106

31. What is the value of x, if 100x = (82)² – (18)²?

• (A) 74
• (B) 64
• (C) 84
• (D) 100

30. Product of the following monomials 4p, –7q³, –7pq is

• (A) 196p²q⁴
• (B) 196pq⁴
• (C) –196p²q⁴
• (D) 196p²q³

29. Product of 6a² – 7b + 5ab and 2ab is

• (A) 12a³b – 14ab² + 10ab
• (B) 12a³b – 14ab² + 10a²b²
• (C) 6a² – 7b + 7ab
• (D) 12a²b – 7ab² + 10ab

28. Square of 3x – 4y is

• (A) 9x² – 16y²
• (B) 6x² – 8y²
• (C) 9x² + 16y² + 24xy
• (D) 9x² + 16y² – 24xy

27. Square of 9x – 7xy is

• (A) 81x² + 49x²y²
• (B) 81x² – 49x²y²
• (C) 81x² + 49x²y² –126x²y
• (D) 81x² + 49x²y² – 63x²y

26. Area of a rectangle with length 4ab and breadth 6b² is

• (A) 24a²b²
• (B) 24ab³
• (C) 24ab²
• (D) 24ab

25. Volume of a rectangular box with length = 2ab, breadth = 3ac and height = 2ac is

• (A) 12a³bc²
• (B) 12a³bc
• (C) 12a²bc
• (D) 2ab +3ac + 2ac

24. Volume of a rectangular box with length 2x, breadth 3y and height 4z is

• (A) 6xy + 4z
• (B) 6xyz
• (C) 24xy + z
• (D) 24xyz

23. Area of a rectangular plot with sides 4x² and 3y² is

• (A) monomial
• (B) binomial
• (C) trinomial
• (D) polynomial

22. What is the area of a rectangles whose length and breadth are 4x and 3x² respectively?

• (A) 12x
• (B) 12x²
• (C) 12x³
• (D) 12x⁴

21. Volume of a rectangular box with l = b = h = 2x is

• (A) monomial
• (B) binomial
• (C) trinomial
• (D) polynomial

20. The sum of areas of two squares with sides 4a and 4b is

• (A) 16a² + 4b²
• (B) 16a² + b²
• (C) 16a² + 16b²  
• (D) 16a² + 16b

19. The side of the square of area 9y² is

• (A) 9y
• (B) 3y
• (C) 3y²
• (D) 3√y

18. What is the volume of a rectangular box whose length, breadth and height are xy, 2x²y, and 2xy² respectively?

• (A) 2x⁴y³
• (B) 12x⁴y⁴
• (C) 4x⁴y⁴
• (D) 4x³y⁴