SSC CGL CHSL Algebra | |||||||
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Algebra Questions Sets | |||||||

Set 1 | Set 2 | Set 3 | Set 4 | Set 5 | |||

Set 6 |

**SSC Algebra Questions and Solutions Set 4 : Ques No 1**

If x – 1/x = 4, then the value of (x + 1/x) is

**Options:**

A. 5√2

B. 2√5

C. 4√2

D. 4√5

**Answer: B**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 2**

If x = 3 + √8, then the value of (x^{2} + 1/x^{2}) is

**Options:**

A. 34

B. 24

C. 38

D. 36

**Answer: A**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 3**

If √(4x – 9) + √(4x + 9) = 5 + √7, then the real value of x is

**Options:**

A. √5

B. 2√3

C. 3/√7

D. 4

**Answer: D**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 4**

If the expression 9x^{2} – kx + 16 is perfect square, then the value of k is

**Options: **

A. ±12

B. ±24

C. ±2

D. ±6

**Answer: B**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 5**

If a + b = 5, a^{2} + b^{2} = 13, then the value of (a – b), where a > b, is

**Options: **

A. 1

B. -1

C. 2

D. -2

**Answer: A**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 6**

If a + 1/a = √3, then the value of a^{6} – 1/a^{6} + 2 is

**Options: **

A. 1

B. 2

C. 3√3

D. 5

**Answer: B**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 7**

If x + y = √3 and x – y = √2, then the value of 8xy(x^{2} + y^{2}) is

**Options: **

A. 5/9

B. 5

C. 5/2

D. √6

**Answer: B**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 8**

If ax + by = 3, bx – ay = 4 and x^{2} + y^{2} = 1, then the value of a^{2} + b^{2} is

**Options: **

A. 17

B. 16

C. 9

D. 25

**Answer: D**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 9**

If a^{2} + b^{2} + c^{2} = 2(a – b – c) – 3, then the value of 2a – 3b + 4c is

**Options: **

A. 3

B. 1

C. 2

D. 4

**Answer: B**

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 10**

If x = 2 + √3, y = 2 – √3, then the value of (x^{2} + y^{2}) / (x^{3} + y^{3}) is

**Options: **

A. 7/38

B. 7/40

C. 7/19

D. 7/26

**Answer: **

**Solution:**

**SSC Algebra Questions and Solutions Set 4 : Ques No 11**

If x^{2} + y^{2} + 1/x^{2} + 1/y^{2} = 4, then the value of x^{2} + y^{2} is

**Options: **

A. 2

B. 7

C. 8

D. 16

**Answer: A**

**SSC Algebra Questions and Solutions Set 4 : Ques No 12**

If m + 1/(m-2) = 4, then the value of (m-2)^{2} + 1/(m-2)^{2} is

**Options: **

A. 1

B. 0

C. 2

D. 4

**Answer: C**

**SSC Algebra Questions and Solutions Set 4 : Ques No 13**

If x + y + z = 0, then the value of x^{2}/yz + y^{2}/zx + z^{2}/xy is

**Options: **

A. (xyz)^{2}

B. x^{2} + y^{2} + z^{2}

C. 9

D. 3

**Answer: D**

**SSC Algebra Questions and Solutions Set 4 : Ques No 14**

If a + b + c = 0, then the value of (a^{2} + b^{2} + c^{2})/(a^{2} – bc) is

**Options: **

A. 0

B. 1

C. 2

D. 3

**Answer: C**

**SSC Algebra Questions and Solutions Set 4 : Ques No 15**

If x + 1/x = 99, then the value of 100x/(2x^{2} + 102x + 2)

**Options: **

A. 1/6

B. 1/2

C. 1/3

D. 1/4

**Answer: C**

**SSC Algebra Questions and Solutions Set 4 : Ques No 16**

If x + 1/2x = 99, then the value of 8×3 + 1/x3 is

**Options: **

A. 48

B. 80

C. 40

D. 44

**Answer: C**

**SSC Algebra Questions and Solutions Set 4 : Ques No 17**

If the average of x and 1/x is 1, then the value of 8x^{10} + 4/x^{5} is

**Options: **

A. 12

B. -12

C. 0

D. 1

**Answer: A**

SSC CGL CHSL Algebra | |||||||
---|---|---|---|---|---|---|---|

Algebra Questions Sets | |||||||

Set 1 | Set 2 | Set 3 | Set 4 | Set 5 | |||

Set 6 |