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 a2 + b2 = 2 and c2 + d2 = 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 xa.xb.xc = 1, then the value of a3 + b3 + c3 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 √(x2 – 1) / (x – √(x2 – 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 (x2 + x + 2) / (x2(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 a3 – b3 – c3 = 0, then the value of a9 – b9 – c9 – 3a3b3c3 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 (5a2 + 5) / (3a2 + 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 P2 + 1/P2 = 1 (P > 0), then the value of P3 + 1/P3 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 (a3 + b3 + c3 – 3abc) / (ab + bc + ca – (a2 + b2 + c2)) 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 (a2 – b2)(a3 – b3) 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
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 |