KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 155 - 156 of 172

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Question number: 155

» Permutations and Combinations » Combination as Selection

Appeared in Year: 2015

MCQ▾

Question

An urn contains marbles of four colors: red, white, blue and green. When four marbles are drawn without replacement, the following events are equally likely:

(1) the selection of four red marbles

(2) the selection of one white and three red marbles

(3) the selection of one white, one blue and two red marbles

(4) the selection of one marble of each color

The smallest total number of marbles satisfying the given condition is –

Choices

Choice (4) Response

a.

69

b.

46

c.

21

d.

19

Question number: 156

» Trigonometry » Heights and Distances

Appeared in Year: 2016

MCQ▾

Question

A sphere with centre O sits atop of a pole as shown in figure. An observer on the ground is at a distance 50m from the foot of the pole. She notes that the angles of elevation from the observer to points P and Q on the sphere are 30° and 60° , respectively. Then, the radius of the sphere in meters is –

Circle d Circle d: Circle through E with center DEllipse e Ellipse e: Ellipse with foci G, H passing through IAngle α Angle α: Angle between H, C, BAngle β Angle β: Angle between A, C, BSegment c Segment c: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment b Segment b: Segment [C, A] of Triangle poly1Segment f Segment f: Segment [F, A] Segment g Segment g: Segment [G, H] Segment h Segment h: Segment [H, C] Vector u Vector u: Vector [J, K] Vector u Vector u: Vector [J, K] Vector v Vector v: Vector [J, L] Vector v Vector v: Vector [J, L] Point A A = (-2.16, 3.94) Point A A = (-2.16, 3.94) Point C C = (4.4, 0.1) Point C C = (4.4, 0.1) 50 m text1 = “50 m”50 m text1 = “50 m”50 m text1 = “50 m”60/degree text1_1 = “60/degree”60/degree text1_1 = “60/degree”60/degree text1_1 = “60/degree”30/degree text1_2 = “30/degree”30/degree text1_2 = “30/degree”30/degree text1_2 = “30/degree”P text1_3 = “P”O text1_4 = “O”Q text1_5 = “Q”

a Sphere Sits Atop of a Pole

In figure a sphere with centre O sits atop of a pole is shown. An observer on the ground is a t a distance 50 m from the foot of the pole.

Choices

Choice (4) Response

a.

100(113)

b.

50(113)

c.

5063

d.

10063

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