Q1. Two angles of a triangle are 68° and 78°. Find the third angle.
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Answer: A. 34°
Third angle = 180 − 68 − 78 = 34°.
Geometry Questions for SSC CGL (with Answers)
29 Geometry MCQs from the Quantitative Aptitude section, with answers and short explanations.
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Q2. Two angles of a triangle are 38° and 36°. Find the third angle.
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Answer: B. 106°
Third angle = 180 − 38 − 36 = 106°.
Q3. Two angles of a triangle are 59° and 37°. Find the third angle.
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Answer: A. 84°
Third angle = 180 − 59 − 37 = 84°.
Q4. Two angles of a triangle are 78° and 57°. Find the third angle.
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Answer: A. 45°
Third angle = 180 − 78 − 57 = 45°.
Q5. Two angles of a triangle are 48° and 49°. Find the third angle.
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Answer: C. 83°
Third angle = 180 − 48 − 49 = 83°.
Q6. Two angles of a triangle are 52° and 59°. Find the third angle.
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Answer: A. 69°
Third angle = 180 − 52 − 59 = 69°.
Q7. Two angles of a triangle are 40° and 73°. Find the third angle.
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Answer: A. 67°
Third angle = 180 − 40 − 73 = 67°.
Q8. Two angles of a triangle are 47° and 67°. Find the third angle.
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Answer: B. 66°
Third angle = 180 − 47 − 67 = 66°.
Q9. In a right-angled triangle, the two sides containing the right angle are 24 cm and 70 cm. Find the hypotenuse.
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Answer: A. 74 cm
√(24² + 70²) = √5476 = 74 cm.
Q10. How many diagonals does a polygon with 10 sides have?
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Answer: A. 35
10 × 7/2 = 35.
Q11. Two angles of a triangle are 30° and 73°. Find the third angle.
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Answer: B. 77°
Third angle = 180 − 30 − 73 = 77°.
Q12. In a right-angled triangle, the two sides containing the right angle are 9 cm and 40 cm. Find the hypotenuse.
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Answer: D. 41 cm
√(9² + 40²) = √1681 = 41 cm.
Q13. How many diagonals does a polygon with 7 sides have?
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Answer: B. 14
7 × 4/2 = 14.
Q14. Two angles of a triangle are 74° and 72°. Find the third angle.
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Answer: D. 34°
Third angle = 180 − 74 − 72 = 34°.
Q15. Each exterior angle of a regular polygon is 24°. How many sides does it have?
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Answer: D. 15
Sides = 360/24 = 15.
Q16. In a right-angled triangle, the two sides containing the right angle are 8 cm and 15 cm. Find the hypotenuse.
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Answer: D. 17 cm
√(8² + 15²) = √289 = 17 cm.
Q17. Each exterior angle of a regular polygon is 72°. How many sides does it have?
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Answer: D. 5
Sides = 360/72 = 5.
Q18. What is the measure of each interior angle of a regular polygon with 10 sides?
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Answer: C. 144°
(10 − 2) × 180/10 = 144°.
Q19. What is the measure of each interior angle of a regular polygon with 15 sides?
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Answer: D. 156°
(15 − 2) × 180/15 = 156°.
Q20. What is the measure of each interior angle of a regular polygon with 9 sides?
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Answer: D. 140°
(9 − 2) × 180/9 = 140°.
Q21. What is the measure of each interior angle of a regular polygon with 12 sides?
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Answer: C. 150°
(12 − 2) × 180/12 = 150°.
Q22. What is the measure of each interior angle of a regular polygon with 18 sides?
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Answer: D. 160°
(18 − 2) × 180/18 = 160°.
Q23. How many diagonals does a polygon with 16 sides have?
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Answer: D. 104
16 × 13/2 = 104.
Q24. Each exterior angle of a regular polygon is 36°. How many sides does it have?
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Answer: A. 10
Sides = 360/36 = 10.
Q25. How many diagonals does a polygon with 8 sides have?
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Answer: B. 20
8 × 5/2 = 20.
Q26. What is the measure of each interior angle of a regular polygon with 5 sides?
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Answer: D. 108°
(5 − 2) × 180/5 = 108°.
Q27. How many diagonals does a polygon with 5 sides have?
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Answer: C. 5
5 × 2/2 = 5.
Q28. How many diagonals does a polygon with 9 sides have?
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Answer: C. 27
9 × 6/2 = 27.
Q29. How many diagonals does a polygon with 12 sides have?
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Answer: B. 54
12 × 9/2 = 54.
More Quantitative Aptitude topics
- Speed, Time and Distance 69
- Percentage 58
- Average 56
- Profit and Loss 49
- Number System 47
- Mensuration 46
- Simple Interest 43
- Time and Work 41
- LCM and HCF 39
- Ratio and Proportion 38
- Problems on Ages 38
- Compound Interest 36
- Algebra 33
- Simplification 32
- Discount 24
- Partnership 17
- Boats and Streams 16
- Mixture and Alligation 13
- Indices and Surds 10
- Trigonometry 10
- Statistics 9
- Pipes and Cisterns 7