Basic Mathematics (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 6 - 10 of 57

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Question number: 6

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2010

MCQ▾

Question

Suppose m, n are positive integers such that Equation . The value of the expression Equation is –

Choices

Choice (4) Response

a.

19

b.

21

c.

7

d.

13

Question number: 7

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let I, ω and ω2 be the cube roots of unity. The lest possible degree of a polynomial, with real coefficients, having 2 ω2, 3 + 4 ω, 3 + 4 ω2 and 5 – ω – ω2 as roots is –

Choices

Choice (4) Response

a.

8

b.

5

c.

6

d.

4

Question number: 8

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2011

MCQ▾

Question

In a rectangle ABCD, the coordinates of A and B are (1, 2) and (3, 6) respectively and some diameter of the circumscribing circle of ABCD has equation Equation . Then the area of the rectangle is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

16

d.

20

Question number: 9

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

Question

Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC, M on AC and N on AB. Suppose Equation and the area of triangle BKN is 6. The area of the triangle ABC is –

Choices

Choice (4) Response

a.

54

b.

108

c.

48

d.

Question does not provide sufficient data or is vague

Question number: 10

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2011

MCQ▾

Question

Let [x] denote the largest integer not exceeding x and Equation . Then Equation is equal to –

Choices

Choice (4) Response

a.

2012x

b.

0

c.

2012

d.

1006

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