Other Quant · SSC CGL previous year questions

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2022 49 questions

Q742022 · 13 Dec 2022 · Shift 1
In ΔPQR, ∠Q = 90°, PQ = 8 cm and ∠PRQ = 45°. Find the length of QR.
1. A.6 cm
2. B.3 cm
3. C.5 cm
4. D.8 cm
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Answer: D
Q662022 · 13 Dec 2022 · Shift 2
$\frac{c o s A}{1 - t a n A} + \frac{s i n A}{1 - c o t A} =$ ______.
1. A.tan A - cot A
2. B.tan A + cot A
3. C.sin A - cos A
4. D.sin A + cos A
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Answer: D
Q582022 · 13 Dec 2022 · Shift 3
If $tan 4 0^{\circ} = α$ , then find $\frac{t a n 32 0 ^{\circ} - t a n 31 0 ^{\circ}}{1 + t a n 32 0 ^{\circ} \cdot t a n 31 0 ^{\circ}}$ .
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q682022 · 13 Dec 2022 · Shift 3
An airplane goes 14 km due east and then 48 km due north. How far is it from its initial position?
1. A.14 km
2. B.48 km
3. C.50 km
4. D.28 km
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Answer: C
Q732022 · 13 Dec 2022 · Shift 3
If $tan^{2} θ + tan^{4} θ = 1$ , then:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q582022 · 13 Dec 2022 · Shift 4
In the given figure, if KI = IT and EK = ET, then ∠TEI = ______ .
1. A.75°
2. B.125°
3. C.105°
4. D.150°
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Answer: C
Q602022 · 13 Dec 2022 · Shift 4
In a Δ ABC, ∠B + ∠C = 110°, then find the measure of ∠A.
1. A.90°
2. B.70°
3. C.80°
4. D.60°
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Answer: B
Q582022 · 12 Dec 2022 · Shift 1
A machine takes 10 h to cut 240 tools. How many tools will it cut in 25 h?
1. A.600
2. B.480
3. C.550
4. D.360
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Answer: A
Q612022 · 12 Dec 2022 · Shift 1
If $5 x - \frac{5}{x} + 6 = 0$ , then $x^{2} + \frac{1}{x ^{2}}$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q642022 · 12 Dec 2022 · Shift 1
If ∆ABC ~ ∆EDF such that AB = 6 cm, DF = 16 cm and DE = 8 cm, then the length of BC is:
1. A.12 cm
2. B.10 cm
3. C.14 cm
4. D.8 cm
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Answer: A
Q652022 · 12 Dec 2022 · Shift 1
How many metres of 2-m-wide cloth will be required to make a conical tent with the diameter of the base as 14 m and slant height as 9 m ignore wastage?
1. A.66 m
2. B.88 m
3. C.99 m
4. D.77 m
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Answer: C
Q742022 · 12 Dec 2022 · Shift 2
is equal to which of the following (where )?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q652022 · 12 Dec 2022 · Shift 3
The production of ABC Ltd is as follows. Product 2021 2022 A 120 150 B 160 200 C 250 300 D 60 90 E 30 50 F 110 132 For which product did the company record the highest growth?
1. A.F
2. B.E
3. C.D
4. D.B
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Answer: B
Q692022 · 12 Dec 2022 · Shift 3
Ram starts from point A at 8 a.m. and reaches point B at 2 p.m. on the same day. On the same day, Raju starts from point B at 8 a.m. and reaches point A at 6 p.m. on the same day. Both points A and B are separated by only a straight line track. At what time they both meet?
1. A.11:45 a.m.
2. B.9:42 a.m
3. C.10:42 a m.
4. D.12:42 p.m.
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Answer: A
Q612022 · 9 Dec 2022 · Shift 3
If , BC = 6cm, and , then which one of the following is true?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q732022 · 9 Dec 2022 · Shift 4
$a^{3} + b^{3} + c^{3} = 3 ab c$ if ______.
1. A.a = b = c
2. B.a + b + c = 0
3. C.a + b + c = 1
4. D.a + b + c = –1
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Answer: B
Q662022 · 8 Dec 2022 · Shift 1
The factors of x2 + 4y2 + 4y - 4xy - 2x - 8 are:
1. A.(x - 2y - 4) (x - 2y + 2)
2. B.(x2 - 2y - 4) (x2 - 2y + 2)
3. C.(x + 2y - 4) (x + 2y + 2)
4. D.(x2 - 2y - 4) (x2 + 2y + 2)
Show answer
Answer: A
Q572022 · 8 Dec 2022 · Shift 2
In ∆ABC and ∆DEF, ∠A = 55°, AB = DE, AC = DF, ∠E = 85° and ∠F = 40°. By which property are ∆ABC and ∆DEF congruent?
1. A.SAS property
2. B.ASA property
3. C.RHS property
4. D.SSS property
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Answer: A
Q672022 · 8 Dec 2022 · Shift 2
An iron rod with diameter 4 cm and length 12 cm is drawn into a wire of length 12 m of uniform thickness. Determine the thickness of the wire.
1. A.0.6 cm
2. B.0.7 cm
3. C.0.3 cm
4. D.0.4 cm
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Answer: D
Q552022 · 8 Dec 2022 · Shift 3
In a linear race of 500 m, A can beat B by 50 m and in a race of 600 m, B can beat C by 60 m. By how many metres will A beat C in a race of 400 m?
1. A.70
2. B.68
3. C.76
4. D.72
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Answer: C
Q622022 · 8 Dec 2022 · Shift 3
Which of the following will satisfy a2 = b2 + (ab)2 for the values a and b?
1. A.a = sin x, b = cot x
2. B.a = cos x, b = tan x
3. C.a = cot x, b = cos x
4. D.a = sin x, b = tan x
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Answer: C
Q752022 · 8 Dec 2022 · Shift 3
Factorize the following expression: p3 + 27
1. A.(p - 3) (p2 - 3p + 9)
2. B.(p + 3) (p2 + 3p + 9)
3. C.(p + 3) (p2 - 3p + 9)
4. D.(p + 3) (p2 - 3p - 9)
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Answer: C
Q522022 · 8 Dec 2022 · Shift 4
If a : b = 4 : 5 and b : c = 3 : 10, then a : c is:
1. A.4 : 10
2. B.5 : 3
3. C.25 : 6
4. D.6 : 25
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Answer: D
Q662022 · 8 Dec 2022 · Shift 4
In a ΔPRQ, AB is drawn parallel to QR, cutting sides at A and B where length of PQ = 6 cm, length of QR = 8 cm and length of QA = 3 cm. What is the length of AB?
1. A.4.0 cm
2. B.4.2 cm
3. C.5.0 cm
4. D.2.4 cm
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Answer: A
Q632022 · 7 Dec 2022 · Shift 2
$3 [a - \frac{1}{a}] + [a - \frac{1}{a}]^{3} =$ ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: B