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Question (31)

QN0030908

Solve: 7(x + 2) = 63.

(A) 5
(B) 6
(C) 7
(D) 9

Correct Answer: C

Explanation:

x + 2 = 9 ⇒ x = 7.

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Question (32)

QN0030909

Solve: 9a – 18 = 5a + 14.

(A) 7
(B) 8
(C) 9
(D) 10

Correct Answer: B

Explanation:

4a = 32 ⇒ a = 8.

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Question (33)

QN0030910

A shopkeeper charges a fixed packing fee of ₹30 and ₹45 per gift box. If the total bill is ₹525, how many gift boxes were purchased?

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

Correct Answer: B

Explanation:

45x + 30 = 525 ⇒ x = 11.

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Question (34)

QN0030911

The number of tiles in a design is given by 5n + 2. If the design contains 137 tiles, what is the position number?

(A) 25
(B) 26
(C) 27
(D) 28

Correct Answer: C

Explanation:

5n + 2 = 137 ⇒ n = 27.

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Question (35)

QN0030912

Rahul thinks of a number. He subtracts 6 from it and then multiplies the result by 5. The final answer is 70. What was the original number?

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

Correct Answer: C

Explanation:

5(x – 6) = 70 ⇒ x = 20.

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Question (36)

QN0030913

Which of the following equations has no solution?

(A) x + 5 = x + 7
(B) x + 4 = 10
(C) 2x = 18
(D) 3x – 2 = 10

Correct Answer: A

Explanation:

x cancels to give 5 = 7, which is impossible.

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Question (37)

QN0030914

Solve: 6m + 11 = 3m + 32.

(A) 5
(B) 6
(C) 7
(D) 8

Correct Answer: C

Explanation:

3m = 21 ⇒ m = 7.

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Question (38)

QN0030915

Two friends have the same amount of money after saving for some months. One starts with ₹800 and saves ₹120 per month. The other starts with ₹1160 and saves ₹80 per month. After how many months will they have equal savings?

(A) 7
(B) 8
(C) 9
(D) 10

Correct Answer: C

Explanation:

800 + 120m = 1160 + 80m ⇒ m = 9.

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Question (39)

QN0030916

Solve: 4(2x + 3) = 44.

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

Correct Answer: B

Explanation:

2x + 3 = 11 ⇒ x = 4.

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Question (40)

QN0030917

A number is increased by 15 and the result is four times the original number. What is the number?

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

Correct Answer: B

Explanation:

x + 15 = 4x ⇒ 3x = 15 ⇒ x = 5.

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Question (31)

Solve: 7(x + 2) = 63.

Explanation:

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Question (32)

Solve: 9a – 18 = 5a + 14.

Explanation:

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Question (33)

A shopkeeper charges a fixed packing fee of ₹30 and ₹45 per gift box. If the total bill is ₹525, how many gift boxes were purchased?

Explanation:

Link:

Question (34)

The number of tiles in a design is given by 5n + 2. If the design contains 137 tiles, what is the position number?

Explanation:

Link:

Question (35)

Rahul thinks of a number. He subtracts 6 from it and then multiplies the result by 5. The final answer is 70. What was the original number?

Explanation:

Link:

Question (36)

Which of the following equations has no solution?

Explanation:

Link:

Question (37)

Solve: 6m + 11 = 3m + 32.

Explanation:

Link:

Question (38)

Two friends have the same amount of money after saving for some months. One starts with ₹800 and saves ₹120 per month. The other starts with ₹1160 and saves ₹80 per month. After how many months will they have equal savings?

Explanation:

Link:

Question (39)

Solve: 4(2x + 3) = 44.

Explanation:

Link:

Question (40)

A number is increased by 15 and the result is four times the original number. What is the number?

Explanation:

Link:

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