KVPY Stream-SA (Class 11) Math: Questions 104 - 109 of 265

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Question number: 104

» Basic Mathematics » Algebra » Solving Equations

Appeared in Year: 2010

MCQ▾

Question

A student notices that the roots of the equation Equation are each 1 less than the roots of the equation Equation Then a + b is,

Choices

Choice (4) Response

a.

– 2

b.

– 5

c.

Possibly any real number

d.

– 4

Question number: 105

» Basic Mathematics » Arithmetic » Number Games

MCQ▾

Question

How many distinct primes is dividing 21! + 22! + 23! ?

Choices

Choice (4) Response

a.

12

b.

9

c.

5

d.

7

Question number: 106

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

Let ABCD be a trapezium with AD parallel to BC. Assume there is a point M in the interior of the segment BC such that AB = AM and DC = DM. Then the ratio of the area of the trapezium to the area of triangle AMD is –

Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

None of the above

Question number: 107

» Basic Mathematics » Arithmetic » Absolute Value

MCQ▾

Question

The least positive integer n from which Equation is,

Choices

Choice (4) Response

a.

7

b.

8

c.

9

d.

6

Question number: 108

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

In the figure given below, a rectangle of perimeter 100 units is divided into 9 congruent rectangles:

A rectangle divided by 9 congruent rectangles

A Rectangle Divided by 9 Congruent Rectangles

In figure a rectangle of perimeter 100 unit is divided in 9 congruent rectangles. Here, a, b and c represents the sides of congruent rectangles.

Find the value of (a, b, c).

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 109

» Sequence and Series » Arithmetic Series

Appeared in Year: 2015

MCQ▾

Question

If n is the smallest natural number such that n + 2n + 3n + … + 99n is a perfect square, then the number of digits in n2 is

Choices

Choice (4) Response

a.

2

b.

1

c.

3

d.

more than 3

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