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IMPORTANT

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$S = {1, 2, 3, 5, 8, 13, 21, 34} .$ Find $\sum max (A)$ where the sum is taken over all $28$ two elements subsets $A$ to $S .$

25% studentsanswered this correctly

Important Questions on Fundamentals of Mathematics

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 3

Six strings of violin start vibrating simultaneously and they vibrate at

3, 4, 5, 6, 10

and

12

times in a minute, find:

i

. After how much time will all six of them vibrate together?

ii

. How many times will they vibrate together in

30

min?

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 172

n (A) = 115, n (B) = 326, n (A - B) = 47

, then

n (A \cup B)

is equal to

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 173

A

be a finite set having

n

elements and

P (A)

is its power set, then total number of subsets of

P (P (A))

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Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 174

If out of

150

students who read at least one of newspapers: The Times of India, The Hindustan Times and The Hindu, there are

65

who read The Times of India,

41

who read The Hindu and

50

who read The Hindustan Times. What is the maximum possible number of students who read all the three newspapers?

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KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 175

In a group if

60 %

of people drink tea and

70 %

drink coffee, what is the maximum possible percentage of people drinking either tea or coffee but not both?

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 178

There are

3

electives offered to the students in class of

92

(The students have a choice of not choosing any electives).

60

students opted for marketing,

80

for finance and

50

for systems,

40

students opted for both marketing and systems,

50

for both marketing and finance and

45

for both finance & systems. What is the maximum number of students who opted for all

3

electives

EASY

KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 181

In a town of

10000

families, it was found that

40 %

families buy newspaper

A, 20 %

families buy newspaper

B

and

10 %

families buy newspaper

C . 5 %

families buy

A

and

B, 3 %

buy

B

and

C

and

4 %

buy

A

and

C .

2 %

families buy all the three newspapers, then the number of families which buy

A

only

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KVPY Aptitude Test - Stream SA

IMPORTANT

Practice Book for KVPY Aptitude Test - Stream SA Mathematics>Chapter 1 - Fundamentals of Mathematics>Exercise>Q 182

Suppose

A_{1}, A_{2}, . . ., A_{30}

are thirty sets each having

5

elements and

B_{1}, B_{2}, . . . ., B_{n}

are

n

sets each with

3

elements. Let

\cup_{i = 1}^{30} A_{i} = \cup_{j = 1}^{n} B_{j} = S

and each element of

S

belongs to exactly

10

of the

A_{i}' s

and exactly

9

of the

B j'

s. Then

n

is equal to

S={1,2,3,5,8,13,21,34}. Find ∑maxA where the sum is taken over all 28 two elements subsets A to S.

Important Questions on Fundamentals of Mathematics

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$S = {1, 2, 3, 5, 8, 13, 21, 34} .$ Find $\sum max (A)$ where the sum is taken over all $28$ two elements subsets $A$ to $S .$