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SSC CGL Exam Quantitative Aptitude Study Material

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Triangles

The length of the circum-radius of a triangle having sides of lengths 12 cm, 16 cm and 20 cm is

a) 15 cm
b) 10 cm
c) 18 cm
d) 16 cm

✔Answer

✔Solution

Correct Answer Is : 10 cm

Solution Is :

If P, R, T are the area of a parallelogram, a rhombus and a triangle standing on the same base and between the same parallels, which of the following is true ?

a) R < P < T
b) P > R > T
c) R = P = T
d) R = P = 2T

✔Answer

✔Solution

Correct Answer Is : R = P = 2T

Solution Is : If a triangle and a parallelogram are on the same base and between the same parallels, the area of the triangle is equal to half of the parallelogram

In a triangle ABC, AB = AC. BA is produced to Din such a manner that AC = AD. The circular measure of ∠BCD is

a) π/6
b) π/3
c) 2π/3
d) π/2

✔Answer

✔Solution

Correct Answer Is : π/2

Solution Is :

If an obtuse-angled triangle ABC, A is the obtuse angle and O is the orthocenter. If ∠BOC = 54°, then ∠BAC is

a) 108°
b) 126°
c) 136°
d) 116°

✔Answer

✔Solution

Correct Answer Is : 126°

Solution Is :

If O be the circumcentre of a triangle PQR and ∠ QOR = 110°, ∠ OPR = 25°, then the measure of ∠ PRQ is

a) 65°
b) 50°
c) 55°
d) 60°

✔Answer

✔Solution

Correct Answer Is : 60°

Solution Is :

In a triangle, if three altitudes are equal, then the triangle is

a) Obtuse
b) Equilateral
c) Right
d) Isosceles

✔Answer

✔Solution

Correct Answer Is : Equilateral

Solution Is : (2) Triangle will be equilateral.

If the angles of a triangle ABC are in the ratio 2 : 3 : 1, then the angles ∠A, ∠B and ∠C are

a) ∠A = 60°. ∠B= 90°, ∠C = 30°
b) ∠A = 40°, ∠B = 120°, ∠C = 20°
c) ∠A = 20°, ∠B = 60°, ∠C = 60°
d) ∠A = 45°, ∠B = 90°, ∠C = 45°

✔Answer

✔Solution

Correct Answer Is : ∠A = 60°. ∠B= 90°, ∠C = 30°

Solution Is :

In ΔABC, ∠ABC = 70°, ∠BCA = 40°. O is the point of intersection of the perpendicular bisectors of the sides, then the angle LBOC is

a) 100°
b) 120°
c) 130°
d) 140°

✔Answer

✔Solution

Correct Answer Is : 140°

Solution Is :

If the measures of the sides of triangle are (x² - 1), (x² + 1) and 2x cm, then the triangle would be

a) Equilateral
b) Acute - angled
c) Isosceles
d) Right - angled

✔Answer

✔Solution

Correct Answer Is : Right - angled

Solution Is :

If angle bisector of a triangle bisect the opposite side, then what type of triangle is it ?

a) Right angled
b) Scalene
c) Similar
d) Isosceles

✔Answer

✔Solution

Correct Answer Is : Isosceles

Solution Is :

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SSC CGL Exam Quantitative Aptitude Study Material

Triangles

The length of the circum-radius of a triangle having sides of lengths 12 cm, 16 cm and 20 cm is

Correct Answer Is : 10 cm

Solution Is :

If P, R, T are the area of a parallelogram, a rhombus and a triangle standing on the same base and between the same parallels, which of the following is true ?

Correct Answer Is : R = P = 2T

Solution Is : If a triangle and a parallelogram are on the same base and between the same parallels, the area of the triangle is equal to half of the parallelogram

In a triangle ABC, AB = AC. BA is produced to Din such a manner that AC = AD. The circular measure of ∠BCD is

Correct Answer Is : π/2

Solution Is :

If an obtuse-angled triangle ABC, A is the obtuse angle and O is the orthocenter. If ∠BOC = 54°, then ∠BAC is

Correct Answer Is : 126°

Solution Is :

If O be the circumcentre of a triangle PQR and ∠ QOR = 110°, ∠ OPR = 25°, then the measure of ∠ PRQ is

Correct Answer Is : 60°

Solution Is :

In a triangle, if three altitudes are equal, then the triangle is

Correct Answer Is : Equilateral

Solution Is : (2) Triangle will be equilateral.

If the angles of a triangle ABC are in the ratio 2 : 3 : 1, then the angles ∠A, ∠B and ∠C are

Correct Answer Is : ∠A = 60°. ∠B= 90°, ∠C = 30°

Solution Is :

In ΔABC, ∠ABC = 70°, ∠BCA = 40°. O is the point of intersection of the perpendicular bisectors of the sides, then the angle LBOC is

Correct Answer Is : 140°

Solution Is :

If the measures of the sides of triangle are (x2 - 1), (x2 + 1) and 2x cm, then the triangle would be

Correct Answer Is : Right - angled

Solution Is :

If angle bisector of a triangle bisect the opposite side, then what type of triangle is it ?

Correct Answer Is : Isosceles

Solution Is :

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If the measures of the sides of triangle are (x² - 1), (x² + 1) and 2x cm, then the triangle would be