For the first time SSC 2016 examination will be held in Computer Based pattern and managing time will be one of the important factor while solving the questions. So in order to make students familiar with such a situations we are providing questions in a time based manner , which will help students to manage the time properly.
1. If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is :
2. D is a point on the side BC of a triangle ABC such that AD⊥BC.E is a point on AD for which AE : ED = 5 : 1. If ∠BAD=30° and tan (∠ACB)= 6 tan (∠DBE), then find ∠ACB.
3. The tangents drawn at P and Q on the circumference of a circle intersect at A. If ∠PAQ=68°, then the measure of the ∠APQ is
4. The external bisector of ABC of ∆ABC intersects the straight line through A and parallel to BC at the point D. If ∠ABC=50°, then measure of ∠ADB is :
5. AB is a diameter of a circle with centre at O. DC is a chord of it such that DC || AB. If ∠BAC=20°, then ∠ADC is equal to
6. Suppose ∆ABC be a right-angled triangle where ∠A=90° and AD⊥BC. If Area (∆ABC) = 40 cm^2, Area (∆ACD)= 10 cm^2 and AC = 9 cm, then the length of BC is :
7. Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact and ∠PAB=35°. Then ∠ABP is :
8. X and Y are centres of circles of radii 9 cm and 2 cm respectively, XY = 17 cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that ∠XZY=90°, the value of r is:
9. I is the incentre of a triangle ABC. If ∠ABC=65° and ∠ACB=55°, then the value of ∠BIC is : (a) (b) 120° (c) 140° (d) 110°
10. The angle of a triangle are in Arithmetic Progression. The ratio of the least angle in degrees to the number of radians in the greatest angle is 60∶π. The angles in degrees are :
1. If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is :
9√3 cm
6√3 cm
3√3 cm
Solution:
2. D is a point on the side BC of a triangle ABC such that AD⊥BC.E is a point on AD for which AE : ED = 5 : 1. If ∠BAD=30° and tan (∠ACB)= 6 tan (∠DBE), then find ∠ACB.
30 °
45 °
60 °
15°
Solution:
3. The tangents drawn at P and Q on the circumference of a circle intersect at A. If ∠PAQ=68°, then the measure of the ∠APQ is
56°
68°
28°
34°
Solution:
4. The external bisector of ABC of ∆ABC intersects the straight line through A and parallel to BC at the point D. If ∠ABC=50°, then measure of ∠ADB is :
65°
55°
40°
20°
Solution:
5. AB is a diameter of a circle with centre at O. DC is a chord of it such that DC || AB. If ∠BAC=20°, then ∠ADC is equal to
120°
110°
115°
100°
Solution:
6. Suppose ∆ABC be a right-angled triangle where ∠A=90° and AD⊥BC. If Area (∆ABC) = 40 cm^2, Area (∆ACD)= 10 cm^2 and AC = 9 cm, then the length of BC is :
12 cm
18 cm
4 cm
6 cm
Solution:
7. Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact and ∠PAB=35°. Then ∠ABP is :
35°
55°
65°
75°
Solution:
8. X and Y are centres of circles of radii 9 cm and 2 cm respectively, XY = 17 cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that ∠XZY=90°, the value of r is:
13 cm
6 cm
9 cm
8 cm
Solution:
9. I is the incentre of a triangle ABC. If ∠ABC=65° and ∠ACB=55°, then the value of ∠BIC is : (a) (b) 120° (c) 140° (d) 110°
130°
120°
140°
110°
Solution:
10. The angle of a triangle are in Arithmetic Progression. The ratio of the least angle in degrees to the number of radians in the greatest angle is 60∶π. The angles in degrees are :
30°, 60°, 90°
35°, 55°, 90°
40°, 50°, 90°
40°, 55°, 85°
Solution:
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