NSTSE (National Science Talent Search Exam- Unified Council) Class 8: Questions 159 - 161 of 2028

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Question number: 159

» Mathematics » Understanding Quadrilaterals

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Question

If two adjacent angles of a parallelogram are in the ratio 5: 7, then the measure of the angles are:

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 160

» Mathematics » Understanding Quadrilaterals

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ABCD is a rectangle and AC is bisector of angle A as shown in below figure. Then the shown angles x and y are related as:

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Arc e Arc e: Semicircle through E and F Arc g Arc g: Semicircle through H and I Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Segment f Segment f: Segment [A, C] Point A A = (1.94,3.18) Point A A = (1.94,3.18) Point A A = (1.94,3.18) Point B B = (1.84,0.48) Point B B = (1.84,0.48) Point B B = (1.84,0.48) Point C C = (6.42,0.44) Point C C = (6.42,0.44) Point C C = (6.42,0.44) Point D D = (6.44,3.14) Point D D = (6.44,3.14) Point D D = (6.44,3.14) x text1 = “x” y text1_1 = “y”

Image of a Rectangle ABCD

Showing the image of a rectangle ABCD with bisector of angle A

Choices

Choice (4) Response

a.

x < y

b.

x > y

c.

x = y

d.

Cannot be determined from given data

Question number: 161

» Mathematics » Understanding Quadrilaterals

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MCQ▾

Question

Given that the area of parallelogram ABCD is . Then the length of BC in the diagram is:

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Segment f Segment f: Segment [D, E] Segment g Segment g: Segment [L, M] Segment h Segment h: Segment [M, N] Vector u Vector u: Vector [F, G] Vector u Vector u: Vector [F, G] Vector u_1 Vector u_1: Vector [F_1, G_1] Vector u_1 Vector u_1: Vector [F_1, G_1] Vector v Vector v: Vector [H, I] Vector v Vector v: Vector [H, I] Vector w Vector w: Vector [J, K] Vector w Vector w: Vector [J, K] Point A A = (2.08,1.82) Point A A = (2.08,1.82) Point A A = (2.08,1.82) Point B B = (2.98, -0.9) Point B B = (2.98, -0.9) Point B B = (2.98, -0.9) Point C C = (7.58, -0.88) Point C C = (7.58, -0.88) Point C C = (7.58, -0.88) Point D D = (6.42,1.74) Point D D = (6.42,1.74) Point D D = (6.42,1.74) Point E Point E: Point on b Point E Point E: Point on b Point E Point E: Point on b 10 cm text1 = “10 cm”

Image of a Parallelogram ABCD with Given Area

Showing the image of a parallelogram ABCD with given area

Choices

Choice (4) Response

a.

8 cm

b.

16 cm

c.

10 cm

d.

15 cm

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