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Quantitative Aptitude Practice Calculus Study Material

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Constructions

Given a triangle with side AB = 8 cm. To get a line segment AB’ = 3/4 of AB, it is required to divide the line segment AB in the ratio:

a) 1:03
b) 3:04
c) 3:01
d) 4:03

✔Answer

Correct Answer Is : 3:01

Solution Is :

AB is divided into 3 equal parts at P and Q. If AB = x AQ, then x =

a) 3/2 .
b) 1/2 .
c) 2/3 .
d) 1/3 .

✔Answer

Correct Answer Is : 3/2 .

Solution Is :

A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?

a) 1 .
b) 2 .
c) 3 .
d) Infinite

✔Answer

Correct Answer Is : 2 .

Solution Is :

In which of the following ratios a line segment cannot be divided using ruler and compass?

a) 5:09
b) √4 : 5
c) √2 + 1 : √2 – 1
d) √5 : 1/ √5

✔Answer

Correct Answer Is : √2 + 1 : √2 – 1

Solution Is :

If four sides of a quadrilateral ABCD are tangential to a circle, then

a) AC + AD = BD + CD
b) AB + CD = BC + AD
c) AB + CD = AC + BC
d) AC + AD = BC + DB

✔Answer

Correct Answer Is : AB + CD = BC + AD

Solution Is :

PT and PS are tangents drawn to a circle, with cantre C, from a point P. If ∠TPS = 50° , then the measure of ?TCS is

a) 150°
b) 120°
c) 100°
d) 130°

✔Answer

Correct Answer Is : 130°

Solution Is :

With a ruler and compass which of the following angles cannot be constructed?

a) 60°
b) 80°
c) 90°
d) 105°

✔Answer

Correct Answer Is : 80°

Solution Is :

With a ruler and compass which of the following angles can be constructed?

a) 80°
b) 90°
c) 100°
d) 110°

✔Answer

Correct Answer Is : 90°

Solution Is :

When finished with the construction for "Copy an Angle", segments are drawn connecting where the arcs cross the sides of the angles. What method proves these two triangles to be congruent?

a) ASA
b) SAS
c) SSS
d) AAS

✔Answer

Correct Answer Is : SSS

Solution Is :

The point where the medians of a triangle are concurrent is called the

a) Centroid
b) Orthocenter
c) Incenter
d) Circumcenter

✔Answer

Correct Answer Is : Centroid

Solution Is :

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Quantitative Aptitude Practice Calculus Study Material

Constructions

Given a triangle with side AB = 8 cm. To get a line segment AB’ = 3/4 of AB, it is required to divide the line segment AB in the ratio:

Correct Answer Is : 3:01

Solution Is :

AB is divided into 3 equal parts at P and Q. If AB = x AQ, then x =

Correct Answer Is : 3/2 .

Solution Is :

A point O is at a distance of 10 cm from the centre of a circle of radius 6 cm. How many tangents can be drawn from point O to the circle?

Correct Answer Is : 2 .

Solution Is :

In which of the following ratios a line segment cannot be divided using ruler and compass?

Correct Answer Is : √2 + 1 : √2 – 1

Solution Is :

If four sides of a quadrilateral ABCD are tangential to a circle, then

Correct Answer Is : AB + CD = BC + AD

Solution Is :

PT and PS are tangents drawn to a circle, with cantre C, from a point P. If ∠TPS = 50° , then the measure of ?TCS is

Correct Answer Is : 130°

Solution Is :

With a ruler and compass which of the following angles cannot be constructed?

Correct Answer Is : 80°

Solution Is :

With a ruler and compass which of the following angles can be constructed?

Correct Answer Is : 90°

Solution Is :

When finished with the construction for "Copy an Angle", segments are drawn connecting where the arcs cross the sides of the angles. What method proves these two triangles to be congruent?

Correct Answer Is : SSS

Solution Is :

The point where the medians of a triangle are concurrent is called the

Correct Answer Is : Centroid

Solution Is :

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