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

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

Set 6 |

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 1**

If a^{2} + b^{2} = 2 and c^{2} + d^{2} = 1, then the value of (ad – bc)^{2} + (ac + bd)^{2} is

**Options:**

A. 4/9

B. 1/2

C. 1

D. 2

**Answer: D**

**Solution:**

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

If x^{a}.x^{b}.x^{c} = 1, then the value of a^{3} + b^{3} + c^{3} is

**Options:**

A. 9

B. abc

C. a + b + c

D. 3abc

**Answer: D**

**Solution:**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 3**

If 2x = √a + 1/√a, a > 0, then the value of √(x^{2} – 1) / (x – √(x^{2} – 1)) is

**Options:**

A. a + 1

B. (1/2)(a – 1)

C. a – 1

D. (1/2)(a + 1)

**Answer: B**

**Solution:**

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

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

**Options:**

A. 2

B. -2

C. 1

D. -1

**Answer: C**

**Solution:**

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

If a^{3} – b^{3} – c^{3} = 0, then the value of a^{9} – b^{9} – c^{9} – 3a^{3}b^{3}c^{3} is

**Options:**

A. 1

B. 2

C. 0

D. -1

**Answer: C**

**Solution:**

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

If a + 1/a = 2, then the value of (5a^{2} + 5) / (3a^{2} + 9a + 3) is

**Options:**

A. 2/3

B. 0

C. 1/3

D. 1

**Answer: A**

**Solution:**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 7**

If P^{2} + 1/P^{2} = 1 (P > 0), then the value of P^{3} + 1/P^{3} is

**Options:**

A. 1

B. 2

C. 3

D. 0

**Answer: D**

**Solution:**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 8**

If a = 1, b = 2 and c = -3, then the value of (a^{3} + b^{3} + c^{3} – 3abc) / (ab + bc + ca – (a^{2} + b^{2} + c^{2})) is

**Options:**

A. 3

B. 2

C. 0

D. 1

**Answer: C**

**Solution:**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 9**

If a – b = 2, ab = 15, then the value of (a^{2} – b^{2})(a^{3} – b^{3}) is

**Options:**

A. 1450

B. 1500

C. 1528

D. 1568

**Answer: D**

**Solution:**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 10**

If xy/(x + y) = a, xz/(x + z) = b and yz/(y + z) = c, then the value of x is

**Options:**

A. abc/(ab + bc + ca)

B. 2abc/(ab + bc – ca)

C. 2abc/(ab + ac – bc)

D. 2abc/(ac + bc – ab)

**Answer: D**

**Solution:**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 11**

The value of (1 + 1/x)(1 + 1/(x + 1))(1 + 1/(x + 2))(1 + 1/(x + 3)) is

**Options:**

A. (1 + 1/(x + 4))

B. (x + 4)

C. 1/x

D. (x + 4)/x

**Answer: D**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 12**

If 2p/(p2 – 2p + 1) = 1/4, then p 0, then the value of p + 1/p is

**Options:**

A. 4

B. 5

C. 10

D. 12

**Answer: C**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 13**

If , then the value of x is

**Options:**

A. 31

B. 32

C. 36

D. 37

**Answer: C**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 14**

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**

**SSC CHSL Algebra Questions and Solutions Set 6 : Ques No 14**

If x varies inversely as (y2 – 1) and is equal to 24 when y = 10, then the value of x when y = 5 is

**Options:**

A. 99

B. 12

C. 24

D. 100

**Answer: A**

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

Algebra Questions Sets | |||||||

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

Set 6 |