Geometry · SSC CGL previous year questions

175 questions asked across 4 exam years, newest first

Year-wise papers Topic-wise questions

हिंदी में देखें Practise this topic

2025 53 questions

Q652025 · 26 Sept 2025 · Shift 3
In , right-angled at C, if , then
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A
Q682025 · 26 Sept 2025 · Shift 3
At an intersection of two lines, two angles are vertically opposite. If one of the angles measures , what is the measure of the other angle?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A
Q712025 · 26 Sept 2025 · Shift 3
If in triangle ABC, DE ∥ BC and AD/DB = 1/2, and AE = 5 cm, then EC is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q722025 · 26 Sept 2025 · Shift 3
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q592025 · 25 Sept 2025 · Shift 1
An L-shaped floor is formed by adjoining a 10 m × 6 m and a 6 m × 4 m rectangle. Tiles cost ₹350/m $^{2}$ . What is the total cost to tile the floor?
1. A.₹29,400
2. B.₹30,800
3. C.₹32,200
4. D.₹34,600
Show answer
Answer: A
Q682025 · 25 Sept 2025 · Shift 2
The measures of the interior angles of a pentagon are x, x + 10, x + 20, x + 30, and x + 40. What is the measure of the smallest angle?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A
Q692025 · 25 Sept 2025 · Shift 2
In triangle ABC, an altitude AD is drawn from point A to side BC. Given the coordinates A(1, 5), B(2, 1), and C(6, 3), what is the slope of the line representing altitude AD?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q702025 · 25 Sept 2025 · Shift 2
Triangle PQR has vertices P(1, 1), Q(4, 1), and R(1, 5). Triangle STU has vertices S(6, 2), T(9, 2), and U(6, 6). Are these two triangles congruent?
1. A.Yes, by SSS
2. B.Yes, by SAS
3. C.Yes, by ASA
4. D.No, they are not congruent
Show answer
Answer: A
Q722025 · 25 Sept 2025 · Shift 2
If a chord subtends an angle of $7 5^{\circ}$ at the center, the angle it subtends at the circumference on the same side is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q542025 · 24 Sept 2025 · Shift 1
A man observes the top of a pole with an angle of elevation of 45°. He walks 15 m towards the pole, and the angle of elevation becomes 60°. What is the height of the pole?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: D
Q732025 · 24 Sept 2025 · Shift 1
In a right-angled triangle, the Orthocenter lies at which of the following points?
1. A.The midpoint of the hypotenuse.
2. B.The vertex of the right angle.
3. C.A point on the hypotenuse but not the midpoint.
4. D.The midpoint of one of the legs.
Show answer
Answer: B
Q572025 · 24 Sept 2025 · Shift 3
If the interior angle of a regular polygon is k times its exterior angle, express the number of sides (n) of the polygon in terms of k.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q652025 · 24 Sept 2025 · Shift 3
What is the length of a diagonal of a rectangle with length 24 cm and width 10 cm?
1. A.32 cm
2. B.28 cm
3. C.26 cm
4. D.24 cm
Show answer
Answer: C
Q732025 · 24 Sept 2025 · Shift 3
If a triangle has an obtuse angle, where is its Circumcenter located?
1. A.On the longest side of the triangle.
2. B.On the vertex of the obtuse angle.
3. C.Inside the triangle.
4. D.Outside the triangle.
Show answer
Answer: D
Q692025 · 23 Sept 2025 · Shift 1
Which of the following is true for all acute angles A?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q552025 · 23 Sept 2025 · Shift 2
A kite is soaring at an altitude of 75 meters above the ground, with its string temporarily secured to a point on the ground. The angle of elevation of the string relative to the ground is 30 degrees. Given that the string remains taut, what is the length of the string?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q582025 · 23 Sept 2025 · Shift 2
If the difference between the interior and exterior angles of a regular polygon is 100°, find the number of sides of the polygon.
1. A.9
2. B.10
3. C.11
4. D.12
Show answer
Answer: A
Q732025 · 23 Sept 2025 · Shift 2
For a triangle with one interior angle greater than 90°, where is its Orthocenter located?
1. A.On one of the sides of the triangle.
2. B.Outside the triangle.
3. C.Inside the triangle.
4. D.At one of the vertices of the triangle.
Show answer
Answer: B
Q702025 · 22 Sept 2025 · Shift 1
Consider two triangles, ΔABC and ΔDEF. It is stated that these two triangles are congruent to each other, which is denoted as ΔABC ≅ ΔDEF and ∠A = 50°, what is the measure of ∠D?
1. A.40°
2. B.50°
3. C.60°
4. D.130°
Show answer
Answer: B
Q722025 · 22 Sept 2025 · Shift 2
Two angles are complementary. The measure of one angle is 10 degrees more than three times the measure of the other angle. What is the measure of the smaller angle?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A
Q732025 · 22 Sept 2025 · Shift 2
In a triangle ABC, if the angle bisectors of $∠ B$ and $∠ C$ intersect at point I, and $∠ B I C = 11 0^{\circ}$ , what is the measure of $∠ A$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B
Q752025 · 22 Sept 2025 · Shift 2
In triangle PQR, ST is parallel to QR. If PS=5cm, SQ=10cm, and PT=6cm, find TR.
1. A.10 cm
2. B.8 cm
3. C.12 cm
4. D.6 cm
Show answer
Answer: C
Q722025 · 21 Sept 2025 · Shift 1
If the measure of an exterior angle of a regular polygon is 20°, determine the total number of its sides.
1. A.15
2. B.18
3. C.20
4. D.36
Show answer
Answer: B
Q732025 · 21 Sept 2025 · Shift 1
In a triangle with vertices P(x, y), Q(5, −1), and R(2, 6), the Centroid is at G(4, 2). What are the coordinates of vertex P?
1. A.(5, 1)
2. B.(5, −1)
3. C.(4, 1)
4. D.(4, 2)
Show answer
Answer: A
Q712025 · 21 Sept 2025 · Shift 3
If , and , then what is the value of angle A?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A