SSC-CGL Quant Quiz-28

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963

Q.1) If (1/x) + (1/y) + (1/z) = 0 and x + y + z = 9, then what is the value of x^3 + y^3 + z^3 – 3xyz?

1) 81

2) 361

3) 729

4) 6561

 

Q.2)  If x^4 + (1/x^4) = 34, then what is the value of x^3 – (1/x^3)?
1)4
2) 6
3) 8
4) 14


Q.3)
If x = 1 – y and x^2 = 2 – y^2, then what is the value of xy?
1) 1
2) 2
3) –1/2
4) –1


Q.4) 
 If x + [1/(x + 7)] = 0, then what is the value of x – [1/(x + 7)]?
1) 3√5
2) 3√5 – 7
3) 3√5 + 7
4) 8


Q.5)
  In a ▲ABC, DE | | BC and AD:DB = 5:3., then what is the value of (DE/BC).

1) 5/8
2) 2/3
3) 3/4
4) 5/3


Q.6) 
 PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If∠RPQ = 38°, then what is the value (in degrees) of ∠ PSR?
1) 52
2) 77
3) 128
4) 142


Q.7)
  Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in cm2) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?
1) 18√3
2) 27√3
3) 32√3
4) 36√3

Q.8)  What is the simplified value of (sec A + cos A)(sec A – cos A)?
1) 2 tan^2 A
2) 2 sin^2 A
3) sin^2 A tan^2 A
4) sin^2 A + tan^2 A

Q.9) What is the simplified value of {(cosec A)/(cot A + tan A)}^2
1) 2cos^2A
2) 1 – sin^2A
3) sec^2A
4) secA tanA

Q.10) What is the simplified value of:
tan A/(1-cot A) + cot A/(1- tan A) -2/2sin A
1) –1
2) 0
3) 1
4) 2