Equations in One Variable Test

Result

Equations in One Variable Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Three consecutive integers, when taken in increasing order and multiplied by 2, 3 and 4, respectively, add up to 83. What are these numbers?

A
7, 8 and 9

B
8, 9 and 10

C
9, 10 and 11

D
10, 11 and 12

Solution

Let three consecutive integers be x, x + 1 and x + 2.
According to the question,

2x + 3(x + 1) + 4(x + 2) = 83
i.e. 2x + 3x + 3 + 4x + 8 = 83

i.e. 9x + 11 = 83
9x = 72

x = 72/9 = 8
Question 2
1 / -0

What will be the sum of all the interior angles of a nonagon?

A
1360°

B
1260°

C
1620°

D
1460°

Solution

A nonagon has 9 sides.
We know,

Sum of interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides

∴ Sum of angles of a nonagon
= (9 - 2) × 180°

= 7 × 180°
= 1260°
Question 3
1 / -0

Which of the following statements is/are true?

(i) A parallelogram with sides of equal length is called a rhombus.
(ii) If the diagonals of a quadrilateral are of equal length, then it is a rectangle.

A
Both (i) and (ii)

B
Only (i)

C
Only (ii)

D
Neither (i) nor (ii)

Solution

(i) If all the sides of a parallelogram are equal in length, then it is called a rhombus.
(ii) If the diagonals of a quadrilateral are of equal length, then it is a rectangle or a square. A square is also a special rectangle.

Hence, both (i) and (ii) are true.