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SSCCGL Quantitative Aptitude Solved Question Paper 2016

Multiple Choice Questions

81.
ABC is a isosceles triangle inscribed in a circle. If AB = AC = 12√5 cm and BC = 24 cm then the radius of circle is

10 cm

15 cm

12 cm

14 cm

15 cm

AD ⊥ BC

BD = DC = 12 cm
OC = OA = Circum-radius = r cm

In Δ OCD,
OD = (24 - r) cm

1789 Views

82.

ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?

BP = PC
BP > PC
BP < PC
BP ≥ PC

486 Views

83.

If D and E are the mid-points of AB and AC respectively of ΔABC, then the ratio of the areas of Δ ADE and ◻BCED is

1 : 2
1 : 4
3 : 1
1 : 3

685 Views

84.

O is the circumcentre of the isosceles △ABC. Given that AB = AC = 5 cm and BC = 6 cm. The radius of the circle is

3.015 cm
3.205 cm
3.025 cm
3.125 cm

1404 Views

85.

B₁ is a point on the side AC of ΔABC and B₁B is joined. A line is drawn through A parallel to B₁B meeting BC at A₁ and another line is drawn through C parallel to B₁B meeting AB produced at C₁. Then

1167 Views

86.

The value of the expression
(1 + sec 22° + cot 68°) (1 - cosec 22° + tan 68°) is

0
1
-1
-1

1505 Views

87.

If $straight x space sin cubed straight theta space plus space straight y space cos cubed straight theta space equals space space sin space straight theta space cos space straight theta$ and $straight x space sin space straight theta space minus space straight y space cos space straight theta equals space space 0 comma$ then the value of $left parenthesis straight x squared plus straight y squared right parenthesis$ equals

1
$1 half$
$3 over 2$
$3 over 2$

429 Views

88.

If $sec space straight theta space space plus space tan space straight theta space equals space straight m space left parenthesis greater than 1 right parenthesis comma$ then the value of $sin space straight theta$ $left parenthesis 0 degree space less than thin space straight theta space less than space 90 degree right parenthesis$ is:

$fraction numerator 1 minus straight m squared over denominator 1 plus straight m squared end fraction$
$fraction numerator straight m squared minus 1 over denominator straight m squared plus 1 end fraction$
$fraction numerator straight m squared plus 1 over denominator straight m squared minus 1 end fraction$
$fraction numerator straight m squared plus 1 over denominator straight m squared minus 1 end fraction$

509 Views

89.

If $left parenthesis straight a squared minus straight b squared right parenthesis space sin space straight theta space plus space 2 ab space cosθ space equals space straight a squared space plus space straight b squared comma space then space tanθ space equals space thin space ?$

$fraction numerator 2 ab over denominator straight a squared minus straight b squared end fraction$
$fraction numerator straight a squared minus straight b squared over denominator 2 ab end fraction$
$fraction numerator ab over denominator straight a squared minus straight b squared end fraction$
$fraction numerator ab over denominator straight a squared minus straight b squared end fraction$

419 Views

90.

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 10 minutes for the angle of depression to change from 45° to 60°. After this the time required by the vehicle to reach the bottom of the hill is