NSTSE (National Science Talent Search Exam- Unified Council) Class 9: Questions 326 - 328 of 2000

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Question number: 326

» Mathematics » Areas of Parallelograms and Triangles

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Question

ABCD is a parallelogram and ‘O’ is the point of intersection of its diagonals AC and BD. If the area of , the area of the parallelogram is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 327

» Mathematics » Triangles

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An exterior angle of a triangle is and one of the interior of opposite angles is . Then the other two angles of a triangle are

Triangle poly1 Triangle poly1: Polygon A, B, C Arc e Arc e: Semicircle through K and L Arc d Arc d: Semicircle through I and M Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [A, H] Point A A = (0.72,3.44) Point A A = (0.72,3.44) Point A A = (0.72,3.44) Point B B = (-1.8,0.26) Point B B = (-1.8,0.26) Point B B = (-1.8,0.26) Point C C = (2.74,0.26) Point C C = (2.74,0.26) Point C C = (2.74,0.26) 65â° text1 = “65â°” 120â° text1_1 = “120â°”

Image of a Triangle Having 120 Degree of Exterior Angle

Representing the image of a triangle having 120 degree of exterior angle

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 328

» Mathematics » Quadrilaterals

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In the given figure PO and SO are the bisectors of and of the quadrilateral PQRS. Then the is

Quadrilateral poly1 Quadrilateral poly1: Polygon P, Q, R, S Arc e Arc e: Semicircle through G and H Arc h Arc h: Semicircle through I and J Segment a Segment a: Segment [P, Q] of Quadrilateral poly1 Segment b Segment b: Segment [Q, R] of Quadrilateral poly1 Segment c Segment c: Segment [R, S] of Quadrilateral poly1 Segment d Segment d: Segment [S, P] of Quadrilateral poly1 Segment f Segment f: Segment [S, E] Segment g Segment g: Segment [P, F] Point P P = (2.73,1.62) Point P P = (2.73,1.62) Point P P = (2.73,1.62) Point Q Q = (3,4.36) Point Q Q = (3,4.36) Point Q Q = (3,4.36) Point R R = (-0.75,4.29) Point R R = (-0.75,4.29) Point R R = (-0.75,4.29) Point S S = (-1.2,1.56) Point S S = (-1.2,1.56) Point S S = (-1.2,1.56) Point O Point O: Intersection point of f, g Point O Point O: Intersection point of f, g Point O Point O: Intersection point of f, g 105â° text1 = “105â°” 85â° text1_1 = “85â°”

Image of a Quadrilateral PQRS

Representing the image of a quadrilateral PQRS in which PO and SO are the bisectors of ∠Pand ∠S

Choices

Choice (4) Response

a.

b.

c.

d.

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