KVPY Stream-SA (Class 11) Math: Questions 240 - 244 of 265

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Question number: 240

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

In triangle PQR, Equation , 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 Equation are natural numbers such that Equation , then the value of Equation for minimum value of Equation 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 Equation be natural numbers in an arithmetic progression such that Equation in the cube of an integer and Equation is square of integer. The least possible value of the number of digits of Equation 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 Equation and Equation on the circle intersect at a point Equation . If Equation and Equation then the radius of the circle is – (Model paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 244

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

Question

In a rectangle Equation , points Equation and Equation are the midpoints of Equation and Equation , respectively. Lines Equation and Equation when extended intersect at Equation , lies Equation and Equation when extended intersect at Equation . If the area of Equation is 200 then the area of Equation is – (Model Paper)

Choices

Choice (4) Response

a.

350

b.

100

c.

300

d.

200

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