Simple Equations Test

Result

Simple Equations Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

The sum of two consecutive number is 15. If the larger number is x, then the smaller number is

A
6

B
7

C
8

D
9

Solution

Given: Larger number = x

Smaller number = x – 1

Sum of consecutive numbers = 15

x + x – 1 = 15

2x = 15 + 1

2x = 16

x = 8

Smaller number = x – 1 = 8 – 1 = 7

Hence, B is the correct answer.
Question 2
1 / -0

Two years ago, my age was ‘x’ years, 5 years ago my age was?

A
(x + 7) years

B
(x – 7) years

C
(x – 5) years

D
(x – 3) years

Solution

Given: Two years ago, age = x

Present age = x + 2

Five years ago, age = (x + 2) – 5

= (x – 3) years

Hence, D is the correct answer.
Question 3
1 / -0

The sum of three consecutive multiples of 7 is 63. The largest of these numbers is

A
14

B
21

C
28

D
35

Solution

Let the numbers be, (x – 7), x, and (x + 7)

Sum = 63

x – 7 + x + x + 7 = 63

3x = 63

x = 21

(x + 7) = 21 + 7 = 28

Therefore, the largest of three consecutive numbers whose sum is 63 is 28.

Hence, C is the correct answer.
Question 4
1 / -0

If the perimeter of a rectangle is 26 cm and its width is 7 cm, then the area of the rectangle is

A
42cm²

B
36cm²

C
48cm²

D
49cm²

Solution

Let the length of the rectangle be x cm.

Now,

Perimeter = 26 cm

2(length + width) = 26 cm

2(x + 7) = 26 cm

x + 7 = 13

x = 6 cm

Area of rectangle = length × breadth

= 7 × 6

= 42 cm²

Hence, A is the correct answer.