Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 8]: Questions 22 - 24 of 1201

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Question 22

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Question

MCQ▾

X and Y together can do a piece of work in 12 days, which X alone can do in 15 days. In how many days can T do the same work alone?

Choices

Choice (4)Response

a.

60 days

b.

35 days

c.

45 days

d.

30 days

Question 23

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Question

MCQ▾

In a trapezium LMNO, MN is parallel to LO and the diagonals intersect each other at A. In this case, the ratio AL/AN is equal to:

Choices

Choice (4)Response

a.

b.

c.

d.

Question 24

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Question

MCQ▾

ABCD and PQRS are quadrilaterals as shown in the below figure. Then

Polygon poly1Polygon poly1: Polygon [A, B, 4] Polygon poly1Polygon poly1: Polygon [A, B, 4] Quadrilateral poly2Quadrilateral poly2: Polygon P, Q, R, SArc cArc c: Semicircle through E and FArc dArc d: Semicircle through G and HArc kArc k: Semicircle through I and JArc pArc p: Semicircle through K and LArc qArc q: Semicircle through M and NArc rArc r: Semicircle through O and TArc sArc s: Semicircle through U and VArc tArc t: Semicircle through W and ZSegment fSegment f: Segment [A, B] of Polygon poly1Segment gSegment g: Segment [B, C] of Polygon poly1Segment hSegment h: Segment [C, D] of Polygon poly1Segment iSegment i: Segment [D, A] of Polygon poly1Segment eSegment e: Segment [P, Q] of Quadrilateral poly2Segment f_1Segment f_1: Segment [Q, R] of Quadrilateral poly2Segment g_1Segment g_1: Segment [R, S] of Quadrilateral poly2Segment h_1Segment h_1: Segment [S, P] of Quadrilateral poly2Point AA = (2,3.62) Point AA = (2,3.62) Point AA = (2,3.62) Point BB = (2.02,1.04) Point BB = (2.02,1.04) Point BB = (2.02,1.04) Point CPoint C: Polygon [A, B, 4] Point CPoint C: Polygon [A, B, 4] Point CPoint C: Polygon [A, B, 4] Point DPoint D: Polygon [A, B, 4] Point DPoint D: Polygon [A, B, 4] Point DPoint D: Polygon [A, B, 4] Point PP = (6.34,3.7) Point PP = (6.34,3.7) Point PP = (6.34,3.7) Point QQ = (5.52,1.12) Point QQ = (5.52,1.12) Point QQ = (5.52,1.12) Point RR = (8.6,1.1) Point RR = (8.6,1.1) Point RR = (8.6,1.1) Point SS = (9.42,3.74) Point SS = (9.42,3.74) Point SS = (9.42,3.74) atext1 = “a”btext1_1 = “b”ctext1_2 = “c”dtext1_3 = “d”ptext1_4 = “p”qtext1_5 = “q”rtext1_6 = “r”stext1_7 = “s”

Image of Two Quadrilaterals ABCD and PQRS

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above