Algebra · SSC CGL previous year questions

2024 120 questions

1. Q612024 · 24 Sept 2024 · Shift 1

   ΔABC and ΔPQR are respectively congruent. If AB = 8 = PQ, BC = 10 = QR, and ∠B = 35° then what is the value of ∠P + ∠C?

   1. A.160°
   2. B.120°
   3. C.130°
   4. D.145°
   Show answer

   Answer: D

2. Q692024 · 24 Sept 2024 · Shift 1

   If $2{\sin }^2\theta +3\sin \theta -2=0$, $(0^{\circ }<\theta <90^{\circ })$, then the value of $\theta$ is:

   1. A.30°
   2. B.15°
   3. C.45°
   4. D.60°
   Show answer

   Answer: A

3. Q702024 · 24 Sept 2024 · Shift 1

   Find the value of $11-\{(3÷4)\text{ of }8-\overline{4-8}\}$.

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

   Answer: D

4. Q592024 · 24 Sept 2024 · Shift 2

   Find the value of $\frac{453\times 453\times 453-383\times 383\times 383}{453\times 383+383\times 383+453\times 453}$.

   1. A.60
   2. B.80
   3. C.50
   4. D.70
   Show answer

   Answer: D

5. Q612024 · 24 Sept 2024 · Shift 2

   For what value of K does the following system have an infinite number of solutions?

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

   Answer: C

6. Q702024 · 24 Sept 2024 · Shift 2

   The value of $(\sin A+\mathrm{cosec}A{)}^2+(\cos A+\sec A{)}^2$ is:

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

   Answer: A

7. Q612024 · 24 Sept 2024 · Shift 3

   If , then what is the value of ?

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

   Answer: A

8. Q742024 · 24 Sept 2024 · Shift 3

   If 436P5 is divisible by 3, then the largest value of P is:

   1. A.8
   2. B.12
   3. C.9
   4. D.6
   Show answer

   Answer: C

9. Q752024 · 24 Sept 2024 · Shift 3

   If , , then find the value of .

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

   Answer: D

10. Q662024 · 23 Sept 2024 · Shift 1

    If $4\tan \theta -3=0$, then the value of $\frac{1-\cos 2\theta }{1+\cos 2\theta }$ is:

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

    Answer: A

11. Q692024 · 23 Sept 2024 · Shift 1

    For what least value of n, 22n + 2n is completely divided by 6, where n is an integer?

    1. A.3
    2. B.2
    3. C.1
    4. D.0
    Show answer

    Answer: C

12. Q642024 · 23 Sept 2024 · Shift 3

    In ΔPQR, if 4 ∠P = 5 ∠Q = 20 ∠R, then the value of ∠Q is:

    1. A.45°
    2. B.90°
    3. C.36°
    4. D.72°
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    Answer: D

13. Q662024 · 23 Sept 2024 · Shift 3
    
    1. A.3
    2. B.0
    3. C.2
    4. D.1
    Show answer

    Answer: B

14. Q692024 · 23 Sept 2024 · Shift 3

    If 3x + 2y = 10 and 2xy = 7, then find the value of 3x - 2y (if 3x - 2y > 0).

    1. A.4
    2. B.6
    3. C.10
    4. D.8
    Show answer

    Answer: A

15. Q542024 · 19 Sept 2024 · Shift 1

    If , then find the value of .

    
    1. A.2
    2. B.3
    3. C.6
    4. D.1
    Show answer

    Answer: B

16. Q582024 · 19 Sept 2024 · Shift 1

    If $\sin x+\mathrm{cosec}x=2$, then the value of ${\sin }^{7}x+{\mathrm{cosec}}^{7}x$ is:

    1. A.1
    2. B.4
    3. C.2
    4. D.0
    Show answer

    Answer: C

17. Q702024 · 19 Sept 2024 · Shift 1

    The value of $4\frac{1}{6}÷25\times 75÷\frac{1}{5}$ of 125 is:

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

    Answer: C

18. Q742024 · 19 Sept 2024 · Shift 1

    If , then what is the value of ?

    
    1. A.3048625
    2. B.3048542
    3. C.3048190
    4. D.3048132
    Show answer

    Answer: C

19. Q622024 · 19 Sept 2024 · Shift 2

    The value of the expression is

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

    Answer: B

20. Q702024 · 19 Sept 2024 · Shift 2

    If $\left(x+\frac{1}{x}\right)=7$, x > 0, the positive value of $x-\frac{1}{x}$ is:

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

    Answer: B

21. Q712024 · 19 Sept 2024 · Shift 2

    The maximum value of $(2\sin \theta +3\cos \theta )$ is:

    1. A.9
    2. B.√17
    3. C.√11
    4. D.√13
    Show answer

    Answer: D

22. Q522024 · 19 Sept 2024 · Shift 3

    The value of $[15÷3\times 7-8\text{ of }2+6]$ is:

    1. A.25
    2. B.−29
    3. C.39.5
    4. D.13
    Show answer

    Answer: A

23. Q612024 · 19 Sept 2024 · Shift 3

    If , then find the value of:

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

    Answer: D

24. Q722024 · 19 Sept 2024 · Shift 3

    For the equations $ax+(a^2+1)y=4$ and $4x+ay=a^2$, which of the following statements is TRUE?

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

    Answer: B

25. Q582024 · 18 Sept 2024 · Shift 1

    If , then find the value of .

    
    1. A.188
    2. B.194
    3. C.186
    4. D.196
    Show answer

    Answer: B