Mathematics - Class X Question Paper - Central Board Of Secondary Education Page 14

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Q. NO.
VALUE POINTS
Marks
Q17. Let the ratio be K : 1 in which x, y divides the join of (—5, —4) and (—2, 3)
-2K -5
∴ x =
1
K+1
3K -4
y =
1
K+1
—2K —5
3K —4
∴
= -3 (i) and
= p (ii)
1
K+1
K+1
Ü K=2 ∴ Ratio is 2:1
½
2
Putting value of K in (ii) we get p =
½
3
Q18. x
:
145
155
165
175
185
195
sum
½
f
:
5
f
20
f
6
2
52
1
2
.
f
x
725
155f
3300 175f
1110 390
5525+155f
+175f
1
1
2
1
2
9
4325
4325
∴ Ûfx =
.
Mean = 166
=
52 = 8650
½
26
26
26
= 52 — 33 = 19 Ü f
Also f
+ f
= 19 —f
1
2
2
1
∴ 8650 = 5525 + 155f
+175 (19 —f
)
1
1
1
Ü f
= 10
½
1
∴ f
= 19 — 10 = 9
½
2
Q19. (i) Sample space = {1, 2, 3, 4, 5, 6 }
1
(ii) Numbers greater than 4 = 5, 6
½
2
1
∴ Probability =
=
1
6
3
(iii)Prime numbers = 2, 3, 5
½
3
1
∴ Probability =
=
1
6
2
Q20. For total expenditure on sports Rs. 108,000, Central angle = 360º
1
100
∴ Expenditure on Hockey = 108,000x
= Rs. 30,000
1
360
150
Expenditure on - cricket = 108,000 x
= Rs. 45,000
1
360
60
Expenditure on football = 108,000 x
= Rs. 18,000
½
360
50
Expenditure on Tennis = 108,000x
= Rs.15000
½
360
149

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