Mensuration · SSC CGL previous year questions

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2023 89 questions

Q582023 · 14 Jul 2023 · Shift 1
Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.
1. A.8 cm
2. B.16 cm
3. C.12 cm
4. D.9 cm
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Answer: B
Q632023 · 14 Jul 2023 · Shift 1
In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 8 cm, PA = 6 cm and AB = x cm, then the value of x is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q712023 · 14 Jul 2023 · Shift 1
The volume of a sphere of radius 4.2 cm is:
1. A.278.234 cm3
2. B.312.725 cm3
3. C.297.824 cm3
4. D.310.464 cm3
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Answer: D
Q662023 · 14 Jul 2023 · Shift 2
If the total surface area of a cube is 24 sq.units, then what is the volume of the cube?
1. A.8 cu.units
2. B.16 cu.units
3. C.10 cu.units
4. D.4 cu.units
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Answer: A
Q712023 · 14 Jul 2023 · Shift 2
A 15 cm long perpendicular is drawn from the centre of a circle to its 40 cm long chord. Find the radius of the circle.
1. A.25 cm
2. B.27 cm
3. C.22 cm
4. D.20 cm
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Answer: A
Q662023 · 14 Jul 2023 · Shift 3
AB is the diameter of a circle with centre O. P be a point on it. If ∠AOP = 95°, then ∠OBP __________.
1. A.57.5°
2. B.45.5°
3. C.47.5°
4. D.55.5°
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Answer: C
Q702023 · 14 Jul 2023 · Shift 3
The volume of a cone is 73920 cm3. If the height of the cone is 160 cm, then find the diameter of its base.
1. A.21 cm
2. B.40 cm
3. C.22 cm
4. D.42 cm
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Answer: D
Q572023 · 14 Jul 2023 · Shift 4
In the given figure, 'G' is the centre of the circle. Find the angle ACB when ∠AGB = 132°
1. A.62°
2. B.66°
3. C.64°
4. D.60°
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Answer: B
Q642023 · 14 Jul 2023 · Shift 4
In a circle, a 14 cm long chord is at 24 cm from the centre of the circle. Find the length of the radius of the circle.
1. A.30 cm
2. B.25 cm
3. C.50 cm
4. D.27 cm
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Answer: B

2022 112 questions

Q512022 · 13 Dec 2022 · Shift 1
ΔABC ~ Δ DEF and the perimeters of these triangles are 32 cm and 12 cm, respectively. If DE = 6 cm, then what will be the length of AB?
1. A.16 cm
2. B.14 cm
3. C.12 cm
4. D.18 cm
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Answer: A
Q612022 · 13 Dec 2022 · Shift 1
The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?
1. A.70 cm
2. B.15 cm
3. C.46 cm
4. D.35 cm
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Answer: D
Q652022 · 13 Dec 2022 · Shift 1
If the numerical value of twice the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then what is the numerical value of the radius of the base of the cylinder?
1. A.2
2. B.3
3. C.5
4. D.4
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Answer: D
Q672022 · 13 Dec 2022 · Shift 1
The hour hand moves through 4 hours and has a length of 6 cm. Find the area (in cm2, rounded off to two decimal places) of the sector covered by the hour hand.
1. A.32.69
2. B.30.67
3. C.37.71
4. D.35.75
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Answer: C
Q532022 · 13 Dec 2022 · Shift 2
A triangle and a parallelogram have the same base 28 cm and the same area. If the height of the parallelogram is 12 cm, then find the length of the altitude of the triangle.
1. A.28 cm
2. B.23 cm
3. C.24 cm
4. D.21 cm
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Answer: C
Q612022 · 13 Dec 2022 · Shift 2
Select the INCORRECT statement with respect to the properties of a circle.
1. A.Two tangents drawn at the end of the diameter of a circle are parallel.
2. B.The radius drawn perpendicular to a chord bisects the chord.
3. C.The diameter of a circle is the longest chord of a circle.
4. D.The perpendicular distance from the centre of a circle increases when the length of a chord increases.
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Answer: D
Q722022 · 13 Dec 2022 · Shift 2
A horse is grazing in a field. It is tied to a pole with a rope of length 6 m. The horse moves from point A to point B making an arch with an angle of 70°. Find the area of the sector grazed by the horse.
1. A.22 m2
2. B.21 m2
3. C.23 m2
4. D.20 m2
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Answer: A
Q732022 · 13 Dec 2022 · Shift 2
ΔABC and ΔDEF are similar triangles and their areas are 49 cm2 and 144 cm2 respectively. If EF = 16.80 cm, then find BC.
1. A.7.5 cm
2. B.9.8 cm
3. C.8.7 cm
4. D.11.4 cm
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Answer: B
Q552022 · 13 Dec 2022 · Shift 3
The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?
1. A.2 cm
2. B.5 cm
3. C.4 cm
4. D.3 cm
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Answer: D
Q742022 · 13 Dec 2022 · Shift 3
If the diameter of a solid hemisphere is 12.6 cm, then its volume is (take ):
1. A.1,259 cm3
2. B.987 cm3
3. C.523.908 cm3
4. D.1,235.621 cm3
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Answer: C
Q652022 · 13 Dec 2022 · Shift 4
Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: A
Q712022 · 12 Dec 2022 · Shift 1
The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q532022 · 12 Dec 2022 · Shift 2
The radius of a right circular cylinder is four times of its height. If the height of the cylinder is 14 cm, then what is the volume of cylinder?
1. A.15468 cm3
2. B.14262 cm3
3. C.137984 cm3
4. D.11296 cm3
Show answer
Answer: C
Q602022 · 12 Dec 2022 · Shift 2
The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (use )
1. A.345.6 cm3
2. B.359.3 cm3
3. C.379.3 cm3
4. D.369.3 cm3
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Answer: B
Q522022 · 12 Dec 2022 · Shift 3
If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:
1. A.24 cm
2. B.14 cm
3. C.16 cm
4. D.12 cm
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Answer: A
Q622022 · 12 Dec 2022 · Shift 3
If the side of an equilateral triangle is 16 cm, then what is its area?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: D