Answer:
Solution
verified
Verified by Toppr
(a) Since, the highest central angle is 120
0
is of the bus
hence, the most common mode of transport is the bus.
(b) Fraction of children traveling by car =
total angle
angle covered by car section
=
360
0
90
0
=
4
1
(c) No. of children traveling by car = Fraction of children traveling by car× Total no of children.
⇒18=
4
1
× Total no of children...... from (b)
⇒ Total no of children = 18×4
⇒ Total no of children = 72
(d) Central angle of children who do not take taxi = 120
0
+90
0
+60
0
+60
0
⇒ Central angle of students who do not take taxi = 330
0
⇒ Central angle of students who do take taxi = 360
0
−330
0
=30
0
No . of children traveling by taxi =
360
0
30
0
× Total no of children
⇒ No children traveling by taxi =
360
0
30
0
×72=6
(e) The central angle for students traveling by cycle and those who walk is the same.
Thus, the two modes of transport are an equal number of children traveling are cycle and walking.