KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 113 - 116 of 172

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Question number: 113

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

In a triangle Equation , let G denote its centroid and let M, N be points in the interiors of the segments Equation , respectively, such that Equation are collinear. If Equation denotes the ratio of the area of triangle Equation to the area of Equation then, (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 114

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

Let Equation . The number of elements Equation in S such that Equation is divisible by 19 is –

Choices

Choice (4) Response

a.

18

b.

1

c.

38

d.

19

Question number: 115

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2013

MCQ▾

Question

Let Equation be a positive integer. For a real number Equation , let Equation denoted the largest integer not exceeding Equation and Equation . Then,

Equation is equal to – (Model Paper)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 116

» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2014

MCQ▾

Question

Let Equation be a continuous function such that Equation . Which of the following statement is NOT necessarily true?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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