Page 1 Objective Type Questions PAGE: 8.13 Mark the correct alternative in each of the following: 1. 5 more than twice a number x is written as (a) 5 + x + 2 (b) 2x + 5 (c) 2x - 5 (d) 5x + 2 Solution: The option (b) is correct answer. 5 more than twice a number x is written as 2x + 5. 2. The quotient of x by 2 is added to 5 is written as (a) x/2 + 5 (b) 2/x+5 (c) (x+2)/ 5 (d) x/ (2+5) Solution: The option (a) is correct answer. The quotient of x by 2 is added to 5 is written as x/2 + 5. 3. The quotient of x by 3 is multiplied by y is written as (a) x/3y (b) 3x/y (c) 3y/x (d) xy/3 Solution: The option (d) is correct answer. It can be written as x/3 × y = xy/3 4. 9 taken away from the sum of x and y is (a) x + y - 9 (b) 9 - (x+y) (c) x+y/ 9 (d) 9/ x+y Solution: The option (a) is correct answer. 9 taken away from the sum of x and y is x + y – 9. 5. The quotient of x by y added to the product of x and y is written as (a) x/y + xy (b) y/x + xy (c) xy+x/ y (d) xy+y/ x Page 2 Objective Type Questions PAGE: 8.13 Mark the correct alternative in each of the following: 1. 5 more than twice a number x is written as (a) 5 + x + 2 (b) 2x + 5 (c) 2x - 5 (d) 5x + 2 Solution: The option (b) is correct answer. 5 more than twice a number x is written as 2x + 5. 2. The quotient of x by 2 is added to 5 is written as (a) x/2 + 5 (b) 2/x+5 (c) (x+2)/ 5 (d) x/ (2+5) Solution: The option (a) is correct answer. The quotient of x by 2 is added to 5 is written as x/2 + 5. 3. The quotient of x by 3 is multiplied by y is written as (a) x/3y (b) 3x/y (c) 3y/x (d) xy/3 Solution: The option (d) is correct answer. It can be written as x/3 × y = xy/3 4. 9 taken away from the sum of x and y is (a) x + y - 9 (b) 9 - (x+y) (c) x+y/ 9 (d) 9/ x+y Solution: The option (a) is correct answer. 9 taken away from the sum of x and y is x + y – 9. 5. The quotient of x by y added to the product of x and y is written as (a) x/y + xy (b) y/x + xy (c) xy+x/ y (d) xy+y/ x Solution: The option (a) is correct answer. The quotient of x by y added to the product of x and y is written as x/y + xy. 6. a 2 b 3 × 2ab 2 is equal to (a) 2a 3 b 4 (b) 2a 3 b 5 (c) 2ab (d) a 3 b 5 Solution: The option (b) is correct answer. It can be written as a 2 b 3 × 2ab 2 = 2a 2 × a × b 3 × b 2 = 2a 3 b 5 . 7. 4a 2 b 3 × 3ab 2 × 5a 3 b is equal to (a) 60a 3 b 5 (b) 60a 6 b 5 (c) 60a 6 b 6 (d) a 6 b 6 Solution: The option (c) is correct answer. It can be written as 4a 2 b 3 × 3ab 2 × 5a 3 b = 4 × 3 × 5 × a 2 × a × a 3 × b 3 × b 2 × b = 60a 6 b 6 8. If 2x 2 y and 3xy 2 denote the length and breadth of a rectangle, then its area is (a) 6xy (b) 6x 2 y 2 (c) 6x 3 y 3 (d) x 3 y 3 Solution: The option (c) is correct answer. We know that area of a rectangle = length × breadth By substituting the values Area = 2x 2 y × 3xy 2 = 6x 3 y 3 9. In a room there are x 2 rows of chairs and each two contains 2x 2 chairs. The total number of chairs in the room is (a) 2x 3 (b) 2x 4 (c) x 4 (d) x 4 /2 Solution: The option (b) is correct answer. We know that Total number of chairs in the room = Number of rows × Number of chairs By substituting the values Page 3 Objective Type Questions PAGE: 8.13 Mark the correct alternative in each of the following: 1. 5 more than twice a number x is written as (a) 5 + x + 2 (b) 2x + 5 (c) 2x - 5 (d) 5x + 2 Solution: The option (b) is correct answer. 5 more than twice a number x is written as 2x + 5. 2. The quotient of x by 2 is added to 5 is written as (a) x/2 + 5 (b) 2/x+5 (c) (x+2)/ 5 (d) x/ (2+5) Solution: The option (a) is correct answer. The quotient of x by 2 is added to 5 is written as x/2 + 5. 3. The quotient of x by 3 is multiplied by y is written as (a) x/3y (b) 3x/y (c) 3y/x (d) xy/3 Solution: The option (d) is correct answer. It can be written as x/3 × y = xy/3 4. 9 taken away from the sum of x and y is (a) x + y - 9 (b) 9 - (x+y) (c) x+y/ 9 (d) 9/ x+y Solution: The option (a) is correct answer. 9 taken away from the sum of x and y is x + y – 9. 5. The quotient of x by y added to the product of x and y is written as (a) x/y + xy (b) y/x + xy (c) xy+x/ y (d) xy+y/ x Solution: The option (a) is correct answer. The quotient of x by y added to the product of x and y is written as x/y + xy. 6. a 2 b 3 × 2ab 2 is equal to (a) 2a 3 b 4 (b) 2a 3 b 5 (c) 2ab (d) a 3 b 5 Solution: The option (b) is correct answer. It can be written as a 2 b 3 × 2ab 2 = 2a 2 × a × b 3 × b 2 = 2a 3 b 5 . 7. 4a 2 b 3 × 3ab 2 × 5a 3 b is equal to (a) 60a 3 b 5 (b) 60a 6 b 5 (c) 60a 6 b 6 (d) a 6 b 6 Solution: The option (c) is correct answer. It can be written as 4a 2 b 3 × 3ab 2 × 5a 3 b = 4 × 3 × 5 × a 2 × a × a 3 × b 3 × b 2 × b = 60a 6 b 6 8. If 2x 2 y and 3xy 2 denote the length and breadth of a rectangle, then its area is (a) 6xy (b) 6x 2 y 2 (c) 6x 3 y 3 (d) x 3 y 3 Solution: The option (c) is correct answer. We know that area of a rectangle = length × breadth By substituting the values Area = 2x 2 y × 3xy 2 = 6x 3 y 3 9. In a room there are x 2 rows of chairs and each two contains 2x 2 chairs. The total number of chairs in the room is (a) 2x 3 (b) 2x 4 (c) x 4 (d) x 4 /2 Solution: The option (b) is correct answer. We know that Total number of chairs in the room = Number of rows × Number of chairs By substituting the values Total number of chairs in the room = x 2 × 2x 2 = 2x 4 10. a 3 × 2a 2 b × 3ab 5 is equal to (a) a 6 b 6 (b) 23a 6 b 6 (c) 6a 6 b 6 (d) None of these Solution: The option (c) is correct answer. It can be written as a 3 × 2a 2 b × 3ab 5 = 2 × 3 × a 3 × a 2 × a × b × b 5 = 6a 6 b 6Read More

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