KVPY Stream-SA (Class 11) Math: Questions 240 - 244 of 251

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Question number: 240

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

In triangle PQR, P=30°,Q=50°,andR=100° , points S, T, U are on the interior of segments QR, RP, PQ, respectively. Which of the following triangle CANNOT be similar to PQR? (Model paper)

Choices

Choice (4) Response

a.

Triangle PQS

b.

Triangle QRT

c.

Triangle RPU

d.

Triangle STU

Question number: 241

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

If x,y are natural numbers such that 2017+x2=y2 , then the value of y for minimum value of xy is – (Model Paper)

Choices

Choice (4) Response

a.

2016

b.

1009

c.

1401

d.

1

Question number: 242

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

Let a,b,c, be natural numbers in an arithmetic progression such that a+b+c in the cube of an integer and b is square of integer. The least possible value of the number of digits of b is. (Model Paper)

Choices

Choice (4) Response

a.

16

b.

4

c.

25

d.

9

Question number: 243

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

Tangents to a circle at points A and B on the circle intersect at a point D . If AB=10 and AD=13 then the radius of the circle is – (Model paper)

Choices

Choice (4) Response

a.

135

b.

6013

c.

6512

d.

655

Question number: 244

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

Question

In a rectangle PQRS , points M and N are the midpoints of PS and SR , respectively. Lines QM and RS when extended intersect at T , lies PS and QN when extended intersect at U . If the area of PQRS is 200 then the area of QTU is – (Model Paper)

Choices

Choice (4) Response

a.

350

b.

100

c.

300

d.

200

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