Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

101.

The minimum value of (x - 2) (x - 9) is

  • negative 11 over 4

  • 49 over 4

  • 0

  • negative 49 over 4

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102.

If x + y + z = 6  and x2 + y2 + z2 = 20,  then the value of x3 + y3 + z3 - 3xyz is

  • 64

  • 70

  • 72

  • 76

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103.

The third proportional to
       open parentheses straight x over straight y space plus space straight y over straight x close parentheses space space and space square root of straight x squared space plus space straight y squared end root space is

  • xy

  • square root of xy

  • cube root of xy

  • fourth root of xy


A.

xy

Third proportion is given by,
             straight c space equals space straight b squared over straight a
            space straight c space equals space fraction numerator open parentheses square root of straight x squared space plus space straight y squared end root close parentheses squared over denominator begin display style straight x over straight y end style space plus space begin display style straight y over straight x end style end fraction
straight c space equals space fraction numerator straight x squared space plus space straight y squared over denominator begin display style fraction numerator straight x squared space plus space straight y squared over denominator xy end fraction end style end fraction space space rightwards double arrow space space straight c space equals space xy

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104.

In a ΔABC, the side BC is extended upto D. Such that CD = AC, if ∠BAD = 109° and ∠ACb = 72°, then the value of ∠BAC is

  • 35°

  • 60°

  • 40°

  • 45°

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105.

Two circles touch each other internally, Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is outside the inner circle is of length

  • 2√2 cm

  • 3√2 cm

  • 2√3 cm

  • 4√2 cm

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106.

ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. If ∠ADC = 60°, then the ∠PBC + ∠PCB is

  • 130°

  • 150°

  • 155°

  • 180°

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107.

From a point P which is at a distance of 13 cm from centre O of a circle of radius 5 cm, in the same plane, a pair of tangents PQ and PR are drawn to the circle. Area of quadrilateral PQOR is

  • 65 cm2

  • 60 cm2

  • 30 cm2

  • 90 cm2

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108.

ABCD is a cyclic trapezium with AB || DC and AB a diameter of the circle. If ∠CAB = 30°, then ∠ADC is

  • 60°

  • 120°

  • 150°

  • 30°

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109.

ABC is a triangle. The bisectors of the internal angle ∠B and external angle ∠C intersect at D. If ∠BDC = 50° then ∠A is

  • 100°

  • 90°

  • 120°

  • 60°

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110.

AB is the chord of a circle with centre O and DOC is a line segment originating from a point D on the circle and intersecting AB produced at C such that BC = OD. If ∠BCD = 20°, then &angAOD is equal to

  • 20°

  • 30°

  • 40°

  • 60°

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