SSC CGL Quant – Geometry – Level 1 · Warm-up · Tier I Level
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Medians → centroid; angle bisectors → incentre; perpendicular bisectors → circumcentre.
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SSC CGL Quant – Geometry – Level 1 · Warm-up · Tier I Level – 12 questions, subject: Quantitative Aptitude. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.
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1.
What is the complement of 38°?
Correct Answer: C [52°]
Explanation:
90° − 38° = 52°.
2.
Two supplementary angles are in the ratio 4 : 5. What is the larger angle?
Correct Answer: A [100°]
Explanation:
180° × 5/9 = 100°.
3.
Diagram-basedIn the figure the two lines are parallel. What is x?
Correct Answer: B [35]
Explanation:
Co-interior angles: (2x + 10) + (3x − 5) = 180 → 5x = 175 → x = 35.
4.
The angles of a triangle are in the ratio 2 : 3 : 4. What is the largest angle?
Correct Answer: D [80°]
Explanation:
180° × 4/9 = 80°.
5.
Diagram-basedIn the figure, find x.
Correct Answer: D [70°]
Explanation:
Exterior ∠ACD = ∠A + ∠B → 125 = x + 55 → x = 70°.
6.
What is each interior angle of a regular octagon?
Correct Answer: B [135°]
Explanation:
Exterior 360/8 = 45° → interior 135°.
7.
How many diagonals does a nonagon (9 sides) have?
Correct Answer: A [27]
Explanation:
n(n − 3)/2 = 9 × 6/2 = 27.
8.
The legs of a right triangle are 9 cm and 12 cm. What is the hypotenuse?
Correct Answer: C [15 cm]
Explanation:
3-4-5 triplet × 3 → 15 cm.
9.
Fill in the blankthe centroid divides each median in the ratio ___ (vertex side first).
Correct Answer: A [2 : 1]
Explanation:
AG : GD = 2 : 1.
10.
Statement-basedWhich of the following is/are correct?
I. Angles in the same segment of a circle are equal.
II. The angle in a semicircle is 60°.
I. Angles in the same segment of a circle are equal.
II. The angle in a semicircle is 60°.
Correct Answer: C [Only I]
Explanation:
II is wrong: the angle in a semicircle is 90°.
11.
Diagram-basedO is the centre of the circle. What is ∠BAC?
Correct Answer: B [65°]
Explanation:
Angle at the circumference = half the angle at the centre = 65°.
12.
Match the followingMatch each centre with the lines that meet there:
P. centroid Q. incentre R. circumcentre
1. perpendicular bisectors of the sides 2. medians 3. angle bisectors
P. centroid Q. incentre R. circumcentre
1. perpendicular bisectors of the sides 2. medians 3. angle bisectors
Correct Answer: D [P-2, Q-3, R-1]
Explanation:
Medians → centroid; angle bisectors → incentre; perpendicular bisectors → circumcentre.
➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude
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