Mathematics Class VII

Question 1 of 20

1. Question
Which one of the following statements is not true ?
(i) A line has finite length
(ii) A line has only one dimension
(iii) A line AB and BA represent the same
(iv) A ray AB and BA represent the same
- (i), (ii)
- (ii) and (iii)
- only (iv)
- (iii) and (iv)
Correct

Incorrect
Question 2 of 20

2. Question
In the following figure, AD is the bisector of $\angle{EAF}$

Which one of the following statements is incorrect ?
- $\angle{EAD}$ is an acute angle
- $\angle{BAE}$ is an obtuse angle
- $\angle{FAD} \ and \ \angle{DAE}$ are complement to each other
- $\angle{CAD} \ and \ \angle{DAE}$ are not complement to each other
Correct

Incorrect
Question 3 of 20

3. Question
If the difference of two supplementary angles is $50^{\circ}$, then find the measurement of the smaller angle.
- $67^{\circ}$
- $75^{\circ}$
- $65^{\circ}$
- $90^{\circ}$
Correct

Incorrect

Hint

Let the one angle be x then other will be $180^{\circ} - x$
By given condition $x - (180^{\circ} - x) = 50^{\circ} \\ \rightarrow 2x = 180^{\circ} + 50^{\circ} \rightarrow x = 115^{\circ}$
Hence, the measurement of smaller angle = $180^{\circ} - 115^{\circ} = 65^{\circ}$
Question 4 of 20

4. Question
Find the supplement of an angle which is 8 times of its complement.
- $90^{\circ}$
- $100^{\circ}$
- $80^{\circ}$
- $70^{\circ}$
Correct

Incorrect
Question 5 of 20

5. Question
If the angle and its complement are x and $\sqrt{x}$ respectively then find the angle.
- $72^{\circ}$
- $100^{\circ}$
- $64^{\circ}$
- $81^{\circ}$
Correct

Incorrect
Question 6 of 20

6. Question
Using the figure below which one of the following statements is true ?
- $\angle{ABD} \ and \ \angle{ABC}$ are adjacent angles
- $\angle{ABD} \ and \ \angle{DBC}$ are not complementary
- $\angle{DBC}$ is half of the measure of $\angle{ABC}$
- $\angle{ABC} \ and \ \angle{DBC}$ are congruent
Correct

Incorrect

Hint

$\angle{ABD} + \angle{DBC} = 90^{\circ}$
Question 7 of 20

7. Question
Find the value of x in the figure given below.
- $12^{\circ}$
- $20^{\circ}$
- $9^{\circ}$
- $15^{\circ}$
Correct

Incorrect

Hint

From the figure, $5x^{\circ} + 5x^{\circ} + 2x^{\circ} = 180^{\circ} \\ \rightarrow 12x^{\circ} = 180^{\circ} \rightarrow x^{\circ} = 15^{\circ}$
Question 8 of 20

8. Question
Find the difference between two angles in the figure given below.
- $15^{\circ}$
- $50^{\circ}$
- $70^{\circ}$
- $20^{\circ}$
Correct

Incorrect
Question 9 of 20

9. Question
Read the following statements.
Which one of the following options represents the incorrect statement ?
(i)$\angle{PQT} \ and \ \angle{TQS}$ are adjacent angles
(ii)$\angle{TQR} \ and \ \angle{RQS}$ are adjacent angles
(iii)$\angle{TQP} \ and \ \angle{TQR}$ are linear pairs
(iv)$\angle{SQR} \ and \ \angle{SQT}$ are linear pairs
- (i)
- (i) and (iii)
- (ii) and (iv)
- (iii)
Correct

Incorrect
Question 10 of 20

10. Question
The angle formed between the bisector s of linear pair is always :
- an acute angle
- an obtuse angle
- an angle which is half of the double of the right angle
- an acute angle greater than the half of the right angle
Correct

Incorrect
Question 11 of 20

11. Question
The complement of $80^{\circ}$ is :
- $20^{\circ}$
- $90^{\circ}$
- $10^{\circ}$
- $30^{\circ}$
Correct

Incorrect
Question 12 of 20

12. Question
In the following figure, AOB is a straight line. If OX and OY are bisector of $\angle{AOC} \ and \ \angle{BOC}$ then find $\angle{XOY}$.
- $95^{\circ}$
- $90^{\circ}$
- $98^{\circ}$
- $92^{\circ}$
Correct

Incorrect

Hint

$\angle{AOC} + \angle{BOC} = 180^{\circ}$
$\dfrac{1}{2}\angle{AOC} + \dfrac{1}{2}\angle{BOC} = \dfrac{1}{2}\times 180^{\circ}$
$\angle{XOC} + \angle{YOC} = 90^{\circ} \rightarrow \angle{XOY} = 90^{\circ}$
Question 13 of 20

13. Question
In the following figure then find X, if AX is parallel to CY.
- $130^{\circ}$
- $170^{\circ}$
- $190^{\circ}$
- $180^{\circ}$
Correct

Incorrect

Hint

$\angle{BCP} = 180^{\circ} - 120^{\circ} = 60^{\circ}$
$\angle{BPC} = 180^{\circ} - 110^{\circ} = 70^{\circ}$
$x = \angle{BCP} + \angle{BPC} = 60^{\circ} + 70^{\circ} = 130^{\circ}$
Question 14 of 20

14. Question
In the following figure, if $\angle{BOC} = 7x^{\circ} + 20^{\circ} \ and \ \angle{COA} = 3x^{\circ}$ then the value of x for which AOB becomes a straight line is :
- $16^{\circ}$
- $14^{\circ}$
- $20^{\circ}$
- $21^{\circ}$
Correct

Incorrect

Hint

$\angle{BOC} + \angle{COA} = 180^{\circ}$
$7x^{\circ} + 20^{\circ} + 3x^{\circ} = 180^{\circ} \\ \rightarrow 10x = 160^{\circ} \rightarrow x = 16^{\circ}$
Question 15 of 20

15. Question
Find x, from the figure given below.
- $24^{\circ}$
- $26^{\circ}$
- $28^{\circ}$
- $30^{\circ}$
Correct

Incorrect

Hint

$x + 30^{\circ} + 3x + x + 20^{\circ} = 180^{\circ} \\ \rightarrow 5x + 50^{\circ} = 180^{\circ} \rightarrow x = 26^{\circ}$
Question 16 of 20

16. Question
The value of x, y and z respectively in the following figure is :
- $40^{\circ} , 140^{\circ}, 140^{\circ}$
- $80^{\circ} , 180^{\circ}, 180^{\circ}$
- $40^{\circ} , 120^{\circ}, 120^{\circ}$
- $80^{\circ} , 100^{\circ}, 140^{\circ}$
Correct

Incorrect

Hint

$x = 40^{\circ}$ (vertically opposite angles)
$40 + z = 180^{\circ} \rightarrow z = 140^{\circ} \\ y = z = 140^{\circ}$ (vertically opposite angles)
Question 17 of 20

17. Question
If AY parallel to CX, then find $\angle{ABC}$.
- $45^{\circ}$
- $60^{\circ}$
- $75^{\circ}$
- $90^{\circ}$
Correct

Incorrect

Hint

$\angle{CEZ} = 50^{\circ}$
$\angle{CEZ} = \angle{AEB} = 50^{\circ}$ (vertically opposite angles)
$\angle{YAB} + \angle{BAE} = 180^{\circ}$ (linear pair)
$\angle{BAE} = 70^{\circ}$
$\rightarrow \angle{ABC} = 180^{\circ} - (70^{\circ} + 50^{\circ}) = 60^{\circ}$
Question 18 of 20

18. Question
Determine x, if AB is parallel to CD in the following figure.
- $63^{\circ}$
- $78^{\circ}$
- $93^{\circ}$
- $112^{\circ}$
Correct

Incorrect

Hint

$\angle{AEO} = \angle{EOP} = 55^{\circ}$ (alternate angles)
$\angle{CEO} = \angle{FOP} = 38^{\circ}$ (alternate angles)
$x = 55^{\circ} + 38^{\circ} = 93^{\circ}$
Question 19 of 20

19. Question
In the following figure, lines AB , CD and EF intersect at O. The measures of $\angle{AOE} \ and \ \angle{AOD}$ respectively are :
- $40^{\circ} , 120^{\circ}$
- $140^{\circ} , 110^{\circ}$
- $35^{\circ} , 120^{\circ}$
- $35^{\circ} , 105^{\circ}$
Correct

Incorrect

Hint

$\angle{AOE} = \angle{BOF} = 35^{\circ} \\ \angle{COB} = 180^{\circ} - 75^{\circ} \\ \angle{COB} = 105^{\circ} = \angle{AOB} = \angle{AOD} = 105^{\circ}$
Question 20 of 20

20. Question
In the given figure, rays, OP, OQ, and OS find the value of x.
- $44^{\circ}$
- $45^{\circ}$
- $27^{\circ}$
- $68^{\circ}$
Correct

Incorrect

Hint

$4x + 48^{\circ} + 50^{\circ} + 3x + 2x + 19^{\circ} = 360^{\circ}$
$\rightarrow 9x + 117^{\circ} = 360^{\circ} \\ \rightarrow 9x = 243^{\circ} \rightarrow x = 27^{\circ}$