Other Quant · SSC CGL previous year questions

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2023 49 questions

Q542023 · 19 Jul 2023 · Shift 3
Mother told her daughter, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be". Find the present ages of the mother and the daughter, respectively.
1. A.45; 15
2. B.40; 10
3. C.42; 12
4. D.50; 20
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Answer: C
Q752023 · 19 Jul 2023 · Shift 3
If in ΔABC and ΔDEF, AB/DE = BC/FD, then they will be similar when:
1. A.∠B = ∠D
2. B.∠A = ∠D
3. C.∠A = ∠F
4. D.∠B = ∠E
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Answer: A
Q572023 · 19 Jul 2023 · Shift 4
Ashok runs $2 \frac{2}{3}$ times as fast as Bharat. If Ashok gives Bharat a head start of 160 m, then how far must the winning post be so that Ashok and Bharat can reach it at the same time?
1. A.225 m
2. B.256 m
3. C.240 m
4. D.200 m
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Answer: B
Q672023 · 19 Jul 2023 · Shift 4
If $(x + \frac{1}{x}) = 2$ , then $x^{7} + \frac{1}{x ^{117}} =$ ______.
1. A.1
2. B.2
3. C.4
4. D.3
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Answer: B
Q742023 · 18 Jul 2023 · Shift 1
If $tan \frac{A}{2} = x$ , then find x.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q542023 · 18 Jul 2023 · Shift 2
In a factory, utensils are manufactured in three plants, plant A, B and C. How many plates are manufactured by plant B if total plates are 3260?
1. A.1467
2. B.1304
3. C.1254
4. D.1141
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Answer: B
Q642023 · 18 Jul 2023 · Shift 3
Which of the following is a FALSE statement?
1. A.tan2 A = 1 - sec2 A
2. B.sin A = tan A × cos A
3. C.cosec2 A - 1 = cot2 A
4. D.cos A × sec A = 1
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Answer: A
Q582023 · 18 Jul 2023 · Shift 4
Meenu is 38 years old. Her daughter is 8 years old. In how many years will Meenu be double her daughter's age?
1. A.22
2. B.25
3. C.20
4. D.24
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Answer: A
Q612023 · 18 Jul 2023 · Shift 4
In a ΔABC, if ∠A = 90°, AC = 5 cm, BC = 9 cm, and in ΔPQR, ∠P = 90°, PR = 3 cm, QR = 8 cm, then:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q652023 · 17 Jul 2023 · Shift 1
Select the INCORRECT formula from the following options.
1. A.sec2 θ - tan2 θ = 1
2. B.sin2 θ + cos2 θ = 1
3. C.cosec2 θ - cot2 θ = 1
4. D.sec2 θ + cos2 θ = 1
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Answer: D
Q542023 · 17 Jul 2023 · Shift 2
If $a + \frac{1}{a} = 7$ , then $a^{5} + \frac{1}{a ^{5}}$ is equal to:
1. A.15127
2. B.13127
3. C.14527
4. D.11512
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Answer: A
Q592023 · 17 Jul 2023 · Shift 2
Find the sum of 3 +32 + 33 +...+ 38.
1. A.6561
2. B.6560
3. C.9840
4. D.3280
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Answer: C
Q662023 · 17 Jul 2023 · Shift 3
Solve the following expression. (-25) × 8 + (- 25) × 2
1. A.-210
2. B.250
3. C.-250
4. D.210
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Answer: C
Q672023 · 17 Jul 2023 · Shift 3
The product of 277 and 323 is:
1. A.89471
2. B.88471
3. C.91371
4. D.89391
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Answer: A
Q512023 · 17 Jul 2023 · Shift 4
18 ÷ {(6 of 2 - 4)} × 5(6 - 3) = _______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: D
Q582023 · 17 Jul 2023 · Shift 4
$\frac{s i n ^{4} θ + c o s ^{4} θ}{1 - 2 s i n ^{2} θ \cdot c o s ^{2} θ} =$ ________.
1. A.1
2. B.2
3. C.-1
4. D.0
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Answer: A
Q662023 · 17 Jul 2023 · Shift 4
A spherical ball of lead, 3 cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are $\frac{3}{2}$ cm and 2 cm, respectively. Find the diameter of the third ball.
1. A.2.1 cm
2. B.3.3 cm
3. C.3 cm
4. D.2.5 cm
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Answer: D
Q722023 · 17 Jul 2023 · Shift 4
Which of the following statements is INCORRECT?
1. A.Radius is the longest chord of a circle.
2. B.The ratio of circumference of two circles is equal to the ratio of their radii.
3. C.The perpendicular drawn from the center of the circle on the chord of the circle bisects the chord.
4. D.Circles are congruent to each other if they have equal radii.
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Answer: A
Q622023 · 14 Jul 2023 · Shift 1
If m∠C = m∠Z and AC = XZ, then which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?
1. A.AB = AC
2. B.BC = YZ
3. C.AB = XY
4. D.BC = AB
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Answer: B
Q592023 · 14 Jul 2023 · Shift 2
If D is the midpoint of BC in △ABC and ∠A = 90⁰, then AD = _______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
Show answer
Answer: C
Q752023 · 14 Jul 2023 · Shift 2
The present age of Rahim is five times the present age of his daughter, Savita. Seven years from now, Rahim will be three times as old as Savita. What is the present age (in years) of Rahim?
1. A.45
2. B.35
3. C.40
4. D.30
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Answer: B
Q562023 · 14 Jul 2023 · Shift 3
Solve the following expression. [7 + 30 ÷ 6 - (6 + 6) + 7]
1. A.6
2. B.7
3. C.5
4. D.4
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Answer: B
Q582023 · 14 Jul 2023 · Shift 3
Which of the following statements is INCORRECT?
1. A.If a chord is extended outside the circle on both ends then it is called secant.
2. B.Tangent is perpendicular to the radius of the circle at the point of contact.
3. C.A line which intersects two distinct points of a circle is called tangent.
4. D.Tangent is a line touching only one point of the circle.
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Answer: C
Q612023 · 14 Jul 2023 · Shift 4
Ranu carries water to school in a cylindrical flask with diameter 12 cm and height 21 cm. Determine the amount of water that she can carry in the flask. (Use π = )
1. A.2372 cm3
2. B.2370 cm3
3. C.2376 cm3
4. D.2374 cm3
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Answer: C