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

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

Set 6 |

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 1**

If a = x + y, b = x – y and c = x + 2y, then the value of a^{2} + b^{2} + c^{2} is

**Options:**

A. 4y^{2}

B. 5y^{2}

C. 6y^{2}

D. 7y^{2}

**Answer: D**

**Solution:**

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

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

**Options:**

A. 1

B. -1

C. 2

D. -1

**Answer: A**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 3**

If x^{2} + x – 6 = 0 and x^{2} + 6x + 9 = 0, then the value of x is

**Options:**

A. 2

B. 3

C. -2

D. -3

**Answer: D**

**Solution:**

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

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

**Options:**

A. 24

B. 18

C. 16

D. 12

**Answer: C**

**Solution:**

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

If x + 9/x = 6, then the value of (x^{2} + 9/x^{2}) is

**Options:**

A. 8

B. 9

C. 10

D. 12

**Answer: C**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 6**

If x^{1/3} + y^{1/3} = z^{1/3}, then the value of (x + y + z) + 27xyz is

**Options:**

A. -1

B. 1

C. 0

D. 27

**Answer: C**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 7**

If (x + y – z)^{2} + (y + z – x)^{2} + (z + x – y)^{2} = 0, then the value of x + y + z is

**Options:**

A. √3

B. 3√3

C. 3

D. 0

**Answer: D**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 8**

If a ≠ b, then which of the following is true?

**Options:**

A. (a + b) / 2 = √ab

B. (a + b) / 2 < √ab

C. (a + b) / 2 > √ab

D. All of these

**Answer: C**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 9**

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

**Options:**

A. 2

B. 3

C. 4

D. 9

**Answer: D**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 10**

If x + 1/x = 2, where x is real, then the value of x^{17} + 1/x^{19} is

**Options:**

A. 1

B. 0

C. 2

D. -2

**Answer: C**

**Solution:**

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 11**

The sum of A and B age is 43 years. 11 year hence, A‘s age will be 7/6 times B‘s age then. Find B‘s present age is

**Options:**

A. 22 years

B. 20 years

C. 24 years

D. 19 years

**Answer: D**

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 12**

A, B, C and D play a game of cards. A says to B “If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 6 cards from C, I shall have twice as many as D has”. If B and D together have 50 cards, how many cards have A got?

**Options:**

A. 40

B. 37

C. 30

D. 27

**SSC CGL Algebra Questions and Solutions Set 2 : Ques No 13**

Ram’s age was square of number last year and it will be cube of a number next year. How long must he wait before his age is again a cube of a number?

**Options:**

A. 10 years

B. 38 years

C. 39 years

D. 46 years

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

Algebra Questions Sets | |||||||

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

Set 6 |