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 5 : Ques No 1
If 2x – 1/2x = 6, then the value of x2 + 1/16x2 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 (a2 + b2 + c2 ) / (b2 – 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 a3 – b3 – c3 – 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 x2 and 1/x2 is
Options:
A. 1 – M2
B. 1 – 2M
C. 2M2 – 1
D. 2M2 + 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 x2 + 9y2 – z2 + 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 x2 + 1/x2 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 x2 + y2 + 1/x2 + 1/y2 = 4, then the value of x2 + y2 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 a2 + b2 + c2 = 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 x2/9 + y2/25 + z2/16 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 (x2 + x + 1) is written in the form of (x + 1/2)2 + q2, then the possible values of q are
Options:
A.
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 a2 – 4a – 1 = 0, then the value of a2 + 1/a2 + 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 |