KVPY Stream-SA (Class 11) Math: Questions 104 - 109 of 251

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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 x2+bx+a=0 are each 1 less than the roots of the equation x2+ax+b=0. 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 n+13n3<112 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.

(5, 2,3)

b.

(12, 6,8)

c.

(6, 3,2)

d.

(10, 6,9)

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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