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

Algebra Questions Sets | |||||||

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

Set 6 |

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 1**

If 2x – 1/2x = 6, then the value of x^{2} + 1/16x^{2} is

**Options:**

A. 19/2

B. 17/2

C. 16/3

D. 15/2

**Answer: A**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 2**

If a, b, c are real numbers and a + b + c = 0, then the value of (a^{2} + b^{2} + c^{2} ) / (b^{2} – ca) is

**Options:**

A. 3

B. 2

C. 1

D. 0

**Answer: B**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 3**

If a^{3} – b^{3} – c^{3} – 3abc = 0, then which of the following is correct?

**Options:**

A. a = b = c

B. a + b + c = 0

C. a + c = b

D. a = b + c

**Answer: D**

**Solution:**

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

If the expression 3a(3a + 2c) – 4b(b + c) has a factor of (3a – 2b), then the other factor is

**Options:**

A. 2(a + b + c)

B. 3a + 2b + 2c

C. 3a – 2b + 2c

D. 3a + 2b – 2c

**Answer: B**

**Solution:**

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

If the average of x and 1/x (x is non-zero) is M, then the average of x^{2} and 1/x^{2} is

**Options:**

A. 1 – M^{2}

B. 1 – 2M

C. 2M^{2} – 1

D. 2M^{2} + 1

**Answer: C**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 6**

If a/(1 – a) + b/(1 – b) + c/(1 – c) = 1, then the value of 1/(1 – a) + 1/(1 – b) + 1/(1 – c) is

**Options:**

A. 1

B. 2

C. 3

D. 4

**Answer: D**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 7**

Which of the following is a factor of x^{2} + 9y^{2} – z^{2} + 6xy?

**Options:**

A. x – 3y + z

B. x – 3y – z

C. 3x + y – z

D. x + 3y – z

**Answer: D**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 8**

If x – 1/x = 5, then the value of x^{2} + 1/x^{2} is

**Options:**

A. 5

B. 25

C. 27

D. 23

**Answer: C**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 9**

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. 4

C. 8

D. 16

**Answer: A**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 10**

If x = 3 + 2√2, then the value of (√x – 1/√x) is

**Options:**

A. 1

B. 2

C. 2√2

D. 3√3

**Answer: B**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 11**

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

**Options:**

A. -1

B. 0

C. 1

D. 2

**Answer: C**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 12**

If (x – 3)^{2} + (y – 5)^{2} + (z – 4)^{2} = 0, then the value of x^{2}/9 + y^{2}/25 + z^{2}/16 is

**Options:**

A. 12

B. 9

C. 3

D. 1

**Answer: C**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 13**

If the expression (x^{2} + x + 1) is written in the form of (x + 1/2)^{2} + q^{2}, then the possible values of q are

**Options:**

A. 1/3

B. sqrt(3)/2

C. 2/sqrt(3)

D. 1/2

**Answer: B**

**SSC CGL Algebra Questions and Solutions Set 5 : Ques No 14**

If a^{2} – 4a – 1 = 0, then the value of a^{2} + 1/a^{2} + 3a – 3/a is

**Options:**

A. 25

B. 30

C. 35

D. 40

**Answer: B**

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

Algebra Questions Sets | |||||||

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

Set 6 |