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1 .If A + B + C = 180°, then find the value of cotAcot B + cotBcotC + cotC cotA.
(A) –1 (B) 1
(C) 10 (D)Ï€
A.
a
B.
b
C.
c
D.
d
Answer & Explanation
Answer
: Option
B
Explanation
:
If A + B + C = 180° then, cotA CotB + cotB cotC + cotC.cotA = 1 (∴ Property of triangle)
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2 .
A.
20°
B.
40°
C.
60°
D.
80°
Answer & Explanation
Answer
: Option
C
Explanation
:
Add figure from question paper ∠ADC = 180° – ∠CDE = 180° – 120° = 60° ∠ABC = ∠ADC = 60° (property of circle)
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3 .
A.
50°
B.
60°
C.
70°
D.
45°
Answer & Explanation
Answer
: Option
D
Explanation
:
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4 .
A.
90°
B.
105°
C.
135°
D.
180°
Answer & Explanation
Answer
: Option
A
Explanation
:
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5 .
A.
1
B.
-1
C.
0
D.
2
Answer & Explanation
Answer
: Option
A
Explanation
:
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6 .A father is 39 times older than his son. 18 year later, he will be only thrice as old as his son. Father's present age is –
A.
25 years
B.
39 years
C.
40 years
D.
45 years
Answer & Explanation
Answer
: Option
B
Explanation
:
Let the age of son = xyears
The age of father = 39x years
ATQ,
39x+ 18 = 3(x+ 18)
39x= 3x+ 54 – 8
36x= 36
x= 1
So, the present age of father = 39 years
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7 .
A.
a
B.
b
C.
c
D.
d
Answer & Explanation
Answer
: Option
A
Explanation
:
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8 .
A.
42
B.
53
C.
60
D.
40
Answer & Explanation
Answer
: Option
C
Explanation
:
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9 .If x* y= $(x+ 3)^2$ 2 (y–1), then find the value of 5 * 4.
A.
192
B.
182
C.
180
D.
172
Answer & Explanation
Answer
: Option
A
Explanation
:
x*y= $(x+ 3)^2$ (y– 1)
5 * 4 = $(5+ 3)^2$ (4 – 1) = $8^2$ 2 × 3
= 64 × 3 = 192
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10 .If A:B= $1\over2$ : $3\over8$ B:C = $1\over3$ : $5\over9$ and C:D = $5\over6$ : $3\over4$, then find the ratio of A : B : C : D.
A.
6 : 9 : 8 : 10
B.
6 : 8 : 9 : 10
C.
8 : 6 : 10 : 9
D.
9 : 6 : 8 : 10
Answer & Explanation
Answer
: Option
C
Explanation
:
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