Geometry · SSC CGL previous year questions

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2022 48 questions

Q712022 · 6 Dec 2022 · Shift 1
AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?
1. A.14 cm
2. B.28 cm
3. C.21 cm
4. D.7 cm
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Answer: D
Q512022 · 6 Dec 2022 · Shift 4
If , where θ is a positive acute angle, then the value of sec θ is:
1. A.6
2. B.8
3. C.5
4. D.4
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Answer: D
Q622022 · 6 Dec 2022 · Shift 4
ΔPQR is an isosceles triangle and PQ = PR = 2a unit, QR = a unit. Draw PX ⊥ QR, and find the length of PX.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q592022 · 5 Dec 2022 · Shift 1
In triangle ABC, AD is the angle bisector of angle A. If AB = 8.4 cm and AC = 5.6 cm and DC = 2.8 cm, then the length of side BC will be:
1. A.4.2 cm
2. B.5.6 cm
3. C.7 cm
4. D.2.8 cm
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Answer: C
Q702022 · 5 Dec 2022 · Shift 1
In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm then what is BD : BC ?
1. A.5 : 3
2. B.7 : 5
3. C.5 : 2
4. D.5 : 7
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Answer: D
Q722022 · 5 Dec 2022 · Shift 1
If sec 2θ = cosec (θ – 36°), where 2θ is an acute angle, find the value of θ.
1. A.32°
2. B.46°
3. C.20°
4. D.42°
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Answer: D
Q662022 · 5 Dec 2022 · Shift 2
If an angle of a right-angled triangle is 35°, then find the other angles.
1. A.90° and 75°
2. B.90° and 35°
3. C.90° and 55°
4. D.90° and 45°
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Answer: C
Q562022 · 5 Dec 2022 · Shift 3
If θ is an acute angle and tanθ + cotθ = 2, then the value of tan 2θ + cot 2θ + 2 tan 5θcot 4θ is:
1. A.3
2. B.4
3. C.1
4. D.2
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Answer: B
Q582022 · 5 Dec 2022 · Shift 3
The lengths (in cm) of three sides of a triangle are, respectively, 48, 55 and 73. What is the length (in cm) of the median joining the mid-point of the longest side to its opposite vertex?
1. A.27.5
2. B.73
3. C.24
4. D.36.5
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Answer: D
Q722022 · 5 Dec 2022 · Shift 3
In a ∆ABC, the internal bisectors of the angle B and the angle C intersect at an angle of 105°. What is the value of the angle A?
1. A.52.5°
2. B.75°
3. C.15°
4. D.30°
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Answer: D
Q562022 · 3 Dec 2022 · Shift 1
In triangle ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10 cm, and AC = 14 cm, then what is BD ∶ BC?
1. A.10 ∶ 7
2. B.5 ∶ 7
3. C.7 ∶ 5
4. D.7 ∶ 10
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Answer: B
Q512022 · 3 Dec 2022 · Shift 2
In an equilateral triangle ABC, D is the midpoint of side BC. If the length of BC is 8 cm, then the height of the triangle is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q652022 · 3 Dec 2022 · Shift 2
The following pie chart is represents the units of electricity sold to various categories in a month by an Electricity Supplier. The central angle of the sector corresponding to supply for Industries is:
1. A.48°
2. B.25°
3. C.46°
4. D.90°
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Answer: D
Q602022 · 3 Dec 2022 · Shift 3
A, B, C are three angles of a triangle. If A - B = 45° and B - C = 15° then ∠A =?
1. A.83°
2. B.85°
3. C.95°
4. D.75°
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Answer: C
Q552022 · 3 Dec 2022 · Shift 4
$△$ ABC is a right - angle triangle at B. If $tan A = \frac{5}{12}$ , then $sin A + sin B + sin C$ will be equal to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q562022 · 3 Dec 2022 · Shift 4
Study the given triangle and find the length of BC.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q662022 · 3 Dec 2022 · Shift 4
If $△ B P Q ≅ △ A S R$ and $∠ A = \frac{1}{3} ∠ R = ∠ S$ then find $∠ Q$ . (All angles are in degrees).
1. A.108°
2. B.36°
3. C.72°
4. D.118°
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Answer: A
Q692022 · 2 Dec 2022 · Shift 2
In ΔABC, right-angled at B, AB = 7 cm and AC - BC = 1 cm. Find the value of sin C.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q562022 · 2 Dec 2022 · Shift 3
In triangle PQR, right angled at Q, if cot P = √3, then the value of sin P is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q682022 · 2 Dec 2022 · Shift 4
O is the incentre of the triangle PQR. If angle POR = 140 degree, then what is the angle PQR?
1. A.40 degree
2. B.140 degree
3. C.100 degree
4. D.70 degree
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Answer: C
Q652022 · 1 Dec 2022 · Shift 1
In a right-angled triangle PQR, right-angled at Q, the length of the side PR is 17 units, length of the base QR is 8 units, and length of the side PQ is 15 units. If ∠RPQ = α, then sin α + cos α is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q712022 · 1 Dec 2022 · Shift 1
In the triangle ABC, AB = 12 cm and AC = 10 cm, and ∠BAC = 60°. What is the value of the length of the side BC?
1. A.10 cm
2. B.7.13 cm
3. C.13.20 cm
4. D.11.13 cm
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Answer: D
Q542022 · 1 Dec 2022 · Shift 2
Study the given chart and answer the following question. What is the central angle corresponding to the production steel by Kerala?
1. A.82°
2. B.65.8°
3. C.75.2°
4. D.72°
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Answer: D
Q742022 · 1 Dec 2022 · Shift 2
If the angles of a triangle are (x - 46) degrees, (x + 96) degrees and 8x degrees, then what is the value of 2x?
1. A.15 degrees
2. B.24 degrees
3. C.26 degrees
4. D.13 degrees
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Answer: C
Q722022 · 1 Dec 2022 · Shift 3
In triangle ABC, the bisector of angle BAC cuts the line BC at D. If BD = 6 and BC = 14 then what is the value of AB ∶ AC?
1. A.3 ∶ 4
2. B.7 ∶ 3
3. C.3 ∶ 10
4. D.3 ∶ 7
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Answer: A