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Question (11)

QN0030998

A fruit seller charges a fixed delivery fee of ₹80 and ₹35 per basket. If the total bill is ₹500, how many baskets were purchased?

(A) 10
(B) 11
(C) 12
(D) 13

Correct Answer: C

Explanation:

Form the equation 35x + 80 = 500.

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Question (12)

QN0030999

Which equation correctly represents the statement: "Seven times a number decreased by 9 is equal to 68"?

(A) 7x + 9 = 68
(B) 7x − 9 = 68
(C) 7(x − 9) = 68
(D) x − 9 = 68

Correct Answer: B

Explanation:

"Seven times a number" is 7x, then subtract 9.

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Question (13)

QN0031000

Solve: 5(3x + 1) = 80.

(A) 4
(B) 5
(C) 6
(D) 7

Correct Answer: B

Explanation:

Divide by 5, then solve 3x + 1 = 16.

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Question (14)

QN0031001

A student solved 9x = 81 by writing x = 81 + 9. Which operation should replace the '+' sign?

(A) +
(B) −
(C) ×
(D) ÷

Correct Answer: D

Explanation:

Divide both sides by the coefficient of the variable.

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Question (15)

QN0031002

The number of matchsticks required for the nth pattern is 8n + 3. If 163 matchsticks are used, what is the value of n?

(A) 18
(B) 19
(C) 20
(D) 21

Correct Answer: C

Explanation:

Solve 8n + 3 = 163.

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Question (16)

QN0031003

Solve: 7x − 15 = 4x + 24.

(A) 11
(B) 12
(C) 13
(D) 14

Correct Answer: C

Explanation:

Bring variable terms to one side and constants to the other.

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Question (17)

QN0031004

Which of the following equations has no solution?

(A) x + 8 = x + 12
(B) 3x = 18
(C) x − 5 = 10
(D) 6x + 2 = 20

Correct Answer: A

Explanation:

Subtracting x from both sides gives 8 = 12, which is impossible.

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Question (18)

QN0031005

A number is increased by 14 and the result is divided by 6 to obtain 9. What is the number?

(A) 38
(B) 40
(C) 42
(D) 44

Correct Answer: B

Explanation:

Form the equation (x + 14)/6 = 9.

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Question (19)

QN0031006

A student solved 6x + 18 = 54 as follows: Step 1: 6x = 36 Step 2: x = 6 Which statement is correct?

(A) Only Step 1 is correct.
(B) Only Step 2 is correct.
(C) Both steps are correct.
(D) Both steps are incorrect.

Correct Answer: C

Explanation:

Subtract 18 from both sides, then divide by 6.

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Question (20)

QN0031007

The total cost of some notebooks is ₹540. A fixed packing charge of ₹60 is included. If each notebook costs ₹40, how many notebooks were purchased?

(A) 10
(B) 11
(C) 12
(D) 13

Correct Answer: C

Explanation:

Form the equation 40x + 60 = 540.

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Question (11)

A fruit seller charges a fixed delivery fee of ₹80 and ₹35 per basket. If the total bill is ₹500, how many baskets were purchased?

Explanation:

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Question (12)

Which equation correctly represents the statement: "Seven times a number decreased by 9 is equal to 68"?

Explanation:

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Question (13)

Solve: 5(3x + 1) = 80.

Explanation:

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Question (14)

A student solved 9x = 81 by writing x = 81 + 9. Which operation should replace the '+' sign?

Explanation:

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Question (15)

The number of matchsticks required for the nth pattern is 8n + 3. If 163 matchsticks are used, what is the value of n?

Explanation:

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Question (16)

Solve: 7x − 15 = 4x + 24.

Explanation:

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Question (17)

Which of the following equations has no solution?

Explanation:

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Question (18)

A number is increased by 14 and the result is divided by 6 to obtain 9. What is the number?

Explanation:

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Question (19)

A student solved 6x + 18 = 54 as follows: Step 1: 6x = 36 Step 2: x = 6 Which statement is correct?

Explanation:

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Question (20)

The total cost of some notebooks is ₹540. A fixed packing charge of ₹60 is included. If each notebook costs ₹40, how many notebooks were purchased?

Explanation:

Link:

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