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Question (11)

QN0026556

The slope of the line y = –4x + 7 is

(A) 7
(B) –4
(C) 4
(D) –7

Correct Answer: B

Explanation:

In the equation y = ax + b, the slope is the coefficient of x. Hence slope = –4.

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Question (12)

QN0026557

The y-intercept of the line y = 5x – 9 is

(A) 5
(B) –9
(C) 9
(D) –5

Correct Answer: B

Explanation:

In y = ax + b, the constant term b gives the y-intercept. Hence y-intercept = –9.

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Question (13)

QN0026558

A student has ₹600 and spends ₹25 daily. The amount left after d days is

(A) 600 + 25d
(B) 25d – 600
(C) 600 – 25d
(D) 625d

Correct Answer: C

Explanation:

Since ₹25 is spent daily, the remaining amount decreases by 25 each day. Hence amount left = 600 – 25d.

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Question (14)

QN0026559

A rectangle has perimeter 50 cm. If length is x cm, then breadth is

(A) 50 – x
(B) 25 – x
(C) 50 – 2x
(D) 25 – 2x

Correct Answer: B

Explanation:

Perimeter = 2(l + b) = 50. Therefore l + b = 25, so breadth = 25 – x.

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Question (15)

QN0026560

Which of the following lines passes through the origin?

(A) y = 2x + 1
(B) y = x – 5
(C) y = 4x
(D) y = 3x + 7

Correct Answer: C

Explanation:

A line passes through the origin when its y-intercept is 0. In y = 4x, intercept is 0.

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Question (16)

QN0026561

The sum of two numbers is 84. One number is 12 more than the other. The smaller number is

(A) 30
(B) 34
(C) 36
(D) 42

Correct Answer: C

Explanation:

Let the smaller number be x. Then x + (x + 12) = 84. So 2x = 72 and x = 36.

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Question (17)

QN0026562

A growing pattern has nth term 4n – 3. Which stage contains 41 tiles?

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

Correct Answer: B

Explanation:

4n – 3 = 41 ⇒ 4n = 44 ⇒ n = 11.

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Question (18)

QN0026563

Two lines y = 3x + 2 and y = 3x – 5 are

(A) intersecting
(B) perpendicular
(C) parallel
(D) coincident

Correct Answer: C

Explanation:

Both lines have the same slope 3. Lines with equal slopes are parallel.

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Question (19)

QN0026564

The graph of y = –2x shows

(A) linear growth
(B) no slope
(C) linear decay
(D) constant function

Correct Answer: C

Explanation:

A negative slope indicates linear decay.

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Question (20)

QN0026565

A water tank initially contains 500 litres of water and loses 20 litres every hour. After how many hours will 300 litres remain?

(A) 8
(B) 10
(C) 12
(D) 15

Correct Answer: B

Explanation:

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Question (11)

The slope of the line y = –4x + 7 is

Explanation:

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Question (12)

The y-intercept of the line y = 5x – 9 is

Explanation:

Link:

Question (13)

A student has ₹600 and spends ₹25 daily. The amount left after d days is

Explanation:

Link:

Question (14)

A rectangle has perimeter 50 cm. If length is x cm, then breadth is

Explanation:

Link:

Question (15)

Which of the following lines passes through the origin?

Explanation:

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Question (16)

The sum of two numbers is 84. One number is 12 more than the other. The smaller number is

Explanation:

Link:

Question (17)

A growing pattern has nth term 4n – 3. Which stage contains 41 tiles?

Explanation:

Link:

Question (18)

Two lines y = 3x + 2 and y = 3x – 5 are

Explanation:

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Question (19)

The graph of y = –2x shows

Explanation:

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Question (20)

A water tank initially contains 500 litres of water and loses 20 litres every hour. After how many hours will 300 litres remain?

Explanation:

Link:

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