Algebra · SSC CGL previous year questions

2022 129 questions

1. Q702022 · 2 Dec 2022 · Shift 4

   Which of the following statement is correct? I. The value of $100^2-99^2+98^2-97^2+96^2-95^2+94^2-93^2+\dots +2^2-1^2$ is 5050. II. If $8x+\frac{8}{x}=-16$ and x < 0, then the value of $x^{197}+x^{-197}$ is 2.

   1. A.Only I
   2. B.Only II
   3. C.Both I and II
   4. D.Neither I nor II
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   Answer: A

2. Q642022 · 1 Dec 2022 · Shift 1

   If $x^2-5x+1=0$, then the value of $\frac{x^6+x^4+x^2+1}{5x^3}$ = ?

   1. A.30
   2. B.25
   3. C.23
   4. D.28
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   Answer: C

3. Q662022 · 1 Dec 2022 · Shift 1

   If $\frac{(17{)}^3+(7{)}^3}{(17^2+7^2-k)}=24$, then what is the value of k?

   1. A.119
   2. B.128
   3. C.24
   4. D.109
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   Answer: A

4. Q742022 · 1 Dec 2022 · Shift 1

   If $\frac{4[(17{)}^3-(7{)}^3]}{(17^2+7^2+p)}=40$, then what is the value of p?

   1. A.-119
   2. B.-129
   3. C.119
   4. D.129
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   Answer: C

5. Q512022 · 1 Dec 2022 · Shift 2

   x is a negative number such that $k+k^{-1}=-2$, then what is the value of $\frac{k^2+4k-2}{k^2+k-5}$ ?

   1. A.7
   2. B.1
   3. C.-7
   4. D.-1
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   Answer: B

6. Q522022 · 1 Dec 2022 · Shift 2

   If $\left(x+\frac{1}{x}\right)=5\sqrt{2}$, then what is the value of $(x^4+x^{-4})$?

   1. A.2542
   2. B.2650
   3. C.2452
   4. D.2302
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   Answer: D

7. Q562022 · 1 Dec 2022 · Shift 2

   What will be the value of $\frac{\sin 30^{\circ }\sin 40^{\circ }\sin 50^{\circ }\sin 60^{\circ }}{\cos 30^{\circ }\cos 40^{\circ }\cos 50^{\circ }\cos 60^{\circ }}$ ?

   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
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   Answer: C

8. Q532022 · 1 Dec 2022 · Shift 3

   If a + b =11 and ab = 35, then what is the value of (a 4 + b 4)?

   1. A.151
   2. B.261
   3. C.124
   4. D.102
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   Answer: A

9. Q562022 · 1 Dec 2022 · Shift 3

   If x + y = 36, then find (x - 27) 3 + (y - 9) 3.

   1. A.1
   2. B.81
   3. C.2y
   4. D.0
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   Answer: D

10. Q592022 · 1 Dec 2022 · Shift 3

    If $y+\frac{1}{y}=3$, then what is the value of $\frac{1}{y^3}+y^3+2$ ?

    1. A.24
    2. B.18
    3. C.20
    4. D.29
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    Answer: C

11. Q602022 · 1 Dec 2022 · Shift 3

    The value of $\frac{2\tan 60^{\circ }}{1+{\tan }^{2}60^{\circ }}$ is:

    1. A.cos 60°
    2. B.tan 60°
    3. C.sin 60°
    4. D.sin 30°
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    Answer: C

12. Q682022 · 1 Dec 2022 · Shift 3

    From the following figure find x+ y + z.

    
    1. A.100°
    2. B.130°
    3. C.120°
    4. D.110°
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    Answer: C