Q1.
Half of the diagonal of a square is 14 . find its area ?
(a) 150 cm2 (b) 120cm2
(c) 100cm2 (d) 392cm2
Solution.
(d) 392cm2
Solution
Q2.
The radius of a circle is increased by 8%, find the percentage change in its area.
(a) 19.6% (b) 22% (c) 16.64%
(d) 10%
Solution.
(c) 16.64%
Solution
Q3.
Find the ratio of an square and an equilateral triangle having side x.
(a) 1:√3 (b) 4:√3 (c) 1:1
(d) 2:1
Solution.
(b) 4:√3
Solution
Q4.
Find the value of:
cot 15o . cot 20o . cot 70o . cot 75o + tan 45o .
(a) 4 (b) 2 (c) 3 (d) 1
Solution.
(b) 2
Solution
Q5.
If 4cotA = 5, so find the value of
5sinA - 3cosA/sinA + 2cosA
(a) 5/14 (b) 1/14 (c) 4/14 (d) 6/11
Solution.
(a) 5/14
Solution
Q6.
If sin(θ + 30o) = 3/√12 , so find the value of sin2θ .
(a) 1/8 (b) 1/4
(c) 1/2 (d) 1/6
Solution.
(b) 1/4
Solution
Q7.
In a polygon internal angle is 108o more than its external angles. find the total number of sides.
(a) 10 (b) 12 (c) 8 (d) 5
Solution.
(a) 10
Solution
Q8.
Find the angle between the line x - y = 0 and x + y = 0.
(a) 2π/3 (b) π/3 (c) π (d) π/2
Solution.
(c) π
Solution
Q9.
Which pair is not the solution of equation x - 2y = 14 .
(a) (8,-3) (b) (6,-4) (c) (0,-7) (d) (0,-8)
Solution.
(d) (0,-8)
Solution
Q10.
Two circles having radius 6.3 m and 3.6 m respectively. They touches internally . find the distance between their centers.
(a) 63 (b) 3.6 (c) 7.2 (d) 2.7
Solution.
(d) 2.7
Solution