Other Quant · SSC CGL previous year questions

2022 49 questions

1. Q682022 · 7 Dec 2022 · Shift 2

   If ∆ ABC ~ ∆DEF such that 2AB = DE and BC = 8 cm, then the length of EF is:

   1. A.16 cm
   2. B.18 cm
   3. C.22 cm
   4. D.20 cm
   Show answer

   Answer: A

2. Q522022 · 7 Dec 2022 · Shift 3

   If $x^4+\frac{1}{x^4}=194$ and $x^3+\frac{1}{x^3}=$ ?

   1. A.52
   2. B.58
   3. C.76
   4. D.67
   Show answer

   Answer: A

3. Q632022 · 6 Dec 2022 · Shift 1

   $\frac{\cos 20^{\circ }}{\sin 70^{\circ }}+\frac{\cos \theta }{\sin (90^{\circ }-\theta )}=$ ______.

   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: D

4. Q592022 · 6 Dec 2022 · Shift 2

   Choose the correct statement from the following.

   1. A.HCF is the least common multiple of the given numbers.
   2. B.HCF of two or more numbers is the highest number which perfectly divides all the given numbers.
   3. C.HCF is also called the least common divisor.
   4. D.In prime factorisation method of HCF, the multiples of all the given numbers are listed.
   Show answer

   Answer: B

5. Q512022 · 5 Dec 2022 · Shift 2

   ${\cos }^{2}35^{\circ }+\cos 55^{\circ }\cdot \sin 35^{\circ }+\frac{\tan 34^{\circ }}{\cot 56^{\circ }}=$ ______.

   1. A.2
   2. B.3
   3. C.4
   4. D.1
   Show answer

   Answer: A

6. Q622022 · 5 Dec 2022 · Shift 2

   $\sqrt{\frac{1+\cos \theta }{1-\cos \theta }}+\sqrt{\frac{1-\cos \theta }{1+\cos \theta }}=$ ______.

   1. A.2 sin θ
   2. B.2 cos θ
   3. C.2 cosec θ
   4. D.2 sec θ
   Show answer

   Answer: C

7. Q642022 · 5 Dec 2022 · Shift 2

   ΔABC and ΔDEF are congruent respectively. If AB = 6 = DE, BC = 8 = EF and m ∠B = 30°, then m ∠D + m ∠C = ______ .

   1. A.160°
   2. B.120°
   3. C.130°
   4. D.150°
   Show answer

   Answer: D

8. Q712022 · 5 Dec 2022 · Shift 3

   Which of the following is NOT a correct statement?

   1. A.The speed of 20 m/s is less than the speed of 85 km/h.
   2. B.Time may be calculated by dividing the distance by the speed.
   3. C.Covering the same distance in lesser time implies a higher speed.
   4. D.The speed of 99 km/h is less than the speed of 24 m/s.
   Show answer

   Answer: D

9. Q542022 · 5 Dec 2022 · Shift 4

   If $△$ABC ~ $△$QRP, $\frac{\mathrm{ar}(△ABC)}{\mathrm{ar}(△QRP)}=\frac{9}{4}$, AB = 18 cm, BC = 15 cm, then the length of PR is:

   1. A.16 cm
   2. B.14 cm
   3. C.10 cm
   4. D.12 cm
   Show answer

   Answer: C

10. Q562022 · 5 Dec 2022 · Shift 4

    $\sqrt{\frac{1+\sin A}{1-\sin A}}=$ ______.

    1. A.coescA - cotA
    2. B.secA - tanA
    3. C.secA + tanA
    4. D.secA
    Show answer

    Answer: C

11. Q712022 · 5 Dec 2022 · Shift 4

    In a ∆ABC, AB = BC, and P, Q and R are the mid points of the sides AB, BC and AC, respectively. If PR = 5 cm, then find the length of QR.

    1. A.5 cm
    2. B.2 cm
    3. C.7 cm
    4. D.4 cm
    Show answer

    Answer: A

12. Q612022 · 3 Dec 2022 · Shift 1

    $\frac{1}{1+\cos (90^{\circ }-\theta )}+\frac{1}{1-\cos (90^{\circ }-\theta )}=$ ______.

    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: A

13. Q702022 · 3 Dec 2022 · Shift 1

    The factors of x4 + x2 + 25 are:

    1. A.(x2 + 3x - 5) (x2 - 3x + 5)
    2. B.(x2 + 3x + 5) (x2 - 3x + 5)
    3. C.(x2 - 3x + 5) (x2 - 3x + 5)
    4. D.(x2 + 3x + 5) (x2 + 3x + 5)
    Show answer

    Answer: B

14. Q532022 · 3 Dec 2022 · Shift 2

    If Δ ABC~Δ FDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: D

15. Q552022 · 3 Dec 2022 · Shift 2

    If $x+\frac{1}{x}=2\cos \theta$, then $x^3+\frac{1}{x^3}=$?

    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: C

16. Q642022 · 2 Dec 2022 · Shift 1

    If ${\sec }^{2}A+{\tan }^{2}A=\frac{4}{17}$, then ${\sec }^{4}A-{\tan }^{4}A$ is equal to:

    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: C

17. Q592022 · 2 Dec 2022 · Shift 2

    If a + b = 5 and ab = 6, then find 3(a2 + b2).

    1. A.39
    2. B.48
    3. C.26
    4. D.13
    Show answer

    Answer: A

18. Q602022 · 2 Dec 2022 · Shift 2

    In ΔABC, AB = AC, O is a point on BC such that BO = CO and OD is perpendicular to AB and OE is perpendicular to AC. If ∠BOD = 60°, then measure of ∠AOE is :

    1. A.120°
    2. B.60°
    3. C.30°
    4. D.90°
    Show answer

    Answer: C

19. Q742022 · 2 Dec 2022 · Shift 2

    A, B, C and D share a property worth Rs. 93,100. If A ∶ B = 1 ∶ 2, B ∶ C = 3 ∶ 4 and C ∶ D = 5 ∶ 6, then find the share of C.

    1. A.Rs. 34,000
    2. B.Rs. 28,000
    3. C.Rs. 25,000
    4. D.Rs. 31,000
    Show answer

    Answer: B

20. Q742022 · 2 Dec 2022 · Shift 3

    How far will the tip of a 2 cm-long minute hand of a clock move in 45 minutes?

    1. A.π cm
    2. B.3π cm
    3. C.4π cm
    4. D.2π cm
    Show answer

    Answer: B

21. Q722022 · 2 Dec 2022 · Shift 4

    From the circumcentre L of ΔXYZ, perpendicular LM is drawn on side YZ. If ∠YXZ = 60°, then the measure of ∠YLM is :

    1. A.60°
    2. B.120°
    3. C.180°
    4. D.90°
    Show answer

    Answer: A

22. Q752022 · 2 Dec 2022 · Shift 4

    Who scored the least marks in aggregate of all the subjects? Name of the student SUBJECT English Hindi Maths A 54 65 67 B 52 88 78 C 48 48 67 D 41 87 60 E 74 70 55

    
    1. A.D
    2. B.E
    3. C.A
    4. D.C
    Show answer

    Answer: D

23. Q552022 · 1 Dec 2022 · Shift 3

    A container contains 25 litre of milk. From this container, 5 litre of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?

    1. A.11.5 litre
    2. B.14.8 litre
    3. C.13.5 litre
    4. D.12.8 litre
    Show answer

    Answer: D

24. Q582022 · 1 Dec 2022 · Shift 3

    In the figure, AB = AD = 7 cm and AC = AE and BC = 11 cm, then find the length of ED.

    
    1. A.12
    2. B.10
    3. C.11
    4. D.2
    Show answer

    Answer: C