KVPY Stream-SA (Class 11) Math: Questions 237 - 239 of 265

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Question number: 237

» Statistics and Probability » Mean, Median and Mode

MCQ▾

Question

In a city, the total income of all people with salary below Rs. 5000 per annum is less than the total income of all people with salary above Rs. 15000 per annum. If the salaries of people in the first group increases by 10 % and the salaries of people in the second group decreases by 10 % then the average income of all people – (Model Paper)

Choices

Choice (4) Response

a.

Increases

b.

Remains the same

c.

Decreases

d.

Cannot be determined from the data.

Question number: 238

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Let a,b,c be three non – negative integers such that a+b+c=8 . The maximum possible value of abc+ab+bc+ca is – (Model Paper)

Choices

Choice (4) Response

a.

39

b.

40

c.

29

d.

16

Question number: 239

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

Question

In the figure given below, PQRSTU is a regular hexagon of side length 2 , PUHJ and PQIK are squares. Then the ratio Area(PKJ)Area(PHI) equals

Polygon poly1 Polygon poly1: Polygon [A, B, 6] Polygon poly1 Polygon poly1: Polygon [A, B, 6] Polygon poly2 Polygon poly2: Polygon [G, H, 4] Polygon poly2_1 Polygon poly2_1: Polygon [G_1, H_1, 4] Segment f Segment f: Segment [A, B] of Polygon poly1Segment g Segment g: Segment [B, C] of Polygon poly1Segment h Segment h: Segment [C, D] of Polygon poly1Segment i Segment i: Segment [D, E] of Polygon poly1Segment j Segment j: Segment [E, F] of Polygon poly1Segment k Segment k: Segment [F, A] of Polygon poly1Segment l Segment l: Segment [G, H] of Polygon poly2Segment m Segment m: Segment [H, I] of Polygon poly2Segment n Segment n: Segment [I, J] of Polygon poly2Segment p Segment p: Segment [J, G] of Polygon poly2Segment l_1 Segment l_1: Segment [G_1, H_1] of Polygon poly2_1Segment m_1 Segment m_1: Segment [H_1, I_1] of Polygon poly2_1Segment n_1 Segment n_1: Segment [I_1, J_1] of Polygon poly2_1Segment p_1 Segment p_1: Segment [J_1, G_1] of Polygon poly2_1Segment q Segment q: Segment [G, H_1] Segment t Segment t: Segment [G_1, I_1] Segment a Segment a: Segment [I_1, H] Segment r Segment r: Segment [G_1, H] P text1 = “P”Q text1_1 = “Q”R text1_2 = “R”S text1_3 = “S”T text1_4 = “T”U text1_5 = “U”K text1_6 = “K”J text1_7 = “J”H text1_8 = “H”I text1_9 = “I”

a Regular Hexagone PQRSTU

In figure a regular hexagone PQRSTU is shown. PUHJ and PQIK are square.

(Model paper)

Choices

Choice (4) Response

a.

3

b.

2

c.

23

d.

32

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