Question
In the given figure, the isosceles triangle ABC ≅ EAD. The point E is equidistant from both A and B.

Image
4. What is the value of x?
  A. 40°
  B. 60°
  C. 70°
  D. 80°
5. What is the value of y?
6. What is the value of ∠BDC?
  A. 30°
  B. 40°
  C. 50°
  D. 70°

Answer

4. B. 60°
5. 40
  40°
6. A. 30° 

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2. A carton contains both fragrant and non-fragrant liquid soap bottles.
Write an equation representing the number of fragrant and non-fragrant bottles in the carton.
In the given figure, ∆AFB ≅ ∆AFG, ∆ADE ≅ AGE and ∠EAF = 45°.

Image
1. What is the measure of ∠DAB?
  A. 60°
  B. 90°
  C. 120°
  D. 135°
2. What is the length of AD?
3. What is the area of the shaded region?
  A. 12.5 cm²
  B. 15 cm²
  C. 20 cm²
  D. 36 cm²

Read the Source/ Text given below and answer these questions:

Roshan decorated one of his bathroom wall with tiles as shown in the picture. He was having tiles of four colours orange, yellow, green and blue. He fitted the tiles in $8$ columns and $12$ rows. The size of one tile was $1$foot $\times 1$ foot and the area of each tile is $1$ foot$^2$. He arranged the tile in such a way that colour of tiles in each row and column were in the pattern: Orange $\rightarrow$ Yellow $\rightarrow$ green $\rightarrow$ Blue $\rightarrow$ Orange $\rightarrow .....$ and so on. Now answer the following questions:
  1. Which colour tile was fitted at the point with coordinates $(5, 3)$?
  1. Orange.
  2. Yellow.
  3. Green.
  4. Blue.
  1. Which colour tile was fitted at the point with coordinates $(7, 7)$?
  1. Orange.
  2. Yellow.
  3. Green.
  4. Blue.
  1. Which colour tile was fitted at the point with coordinate $(2, 5)$?
  1. Orange.
  2. Yellow.
  3. Green.
  4. Blue.
  1. What is the area of the tiles fitted in the rectangular part $\text{OABX}$?
  1. $50$ foot$^2$
  2. $24$ foot$^2$
  3. $12$ foot$^2$
  4. $48$ foot$^2$
  1. What is the ordinate of top row tiles?
  1. $8$
  2. $12$
  3. $16$
  4. $6$
Read the Source/ Text given below and answer these questions:
The following data given the weight (in grams) of 30 oranges picked from a basket:
106, 107, 76, 109, 187, 95, 125, 92, 70, 139, 128, 100, 88, 84, 99, 113, 204, 141, 136, 123, 90, 115, 110, 97, 90, 107, 75, 80, Frequency distribution table:
Class Interval
Tally marks
Frequency
60 - 80
|||
3
80 - 100
|||| ||||
10
100 - 120
|||| ||||
9
120 - 140
||||
5
140 - 160
|
1
160 - 180
-
0
180 - 200
|
1
200 - 220
|
1
Total
30
30
  1. Class Size of given class data:
  1. 20
  2. 10
  3. 30
  4. 15
  1. Classmark of forth class:
  1. 70
  2. 130
  3. 20
  4. 15
  1. The number of oranges, whose weight is more than 180g:
  1. 1
  2. 3
  3. 2
  4. 4
  1. The number of oranges, whose weight is less than 100g:
  1. 10
  2. 3
  3. 5
  4. 13
  1. The range of data is:
  1. 70
  2. 204
  3. 134
  4. 274
In a school camp, 40 students were divided into two groups to play a game.
The table given below shows the scores of team A and team B. 

Time(s) in minutes

Cumulative Score of Team A

Cumulative Score of Team A

0-5

14

20

5-10

35

27

10-15

30

31

15-20

35

31

20-25

44

37

25-30

52

50

7. How many score points did team A get between 10-15 minutes?
  A. 6
  B. 24
  C. 30
  D. 68
8. Which team scored more points during last 5 minutes? Justify your answer.
9. What is the mean number of score points obtained by team A in a 5-minute interval rounded to the nearest whole number?

3. A carton is checked randomly. Which of the following cannot be the number of fragrant and nonfragrant liquid bottles in the carton?
   A. (5, 45)
   B. (15, 35)
   C. (20, 30)
   D. (30, 40)