If every element of a set A is also an element of a set B, then A is said to be a _________ of set B.

In the question one statement is given, followed by two conclusions, I and II. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statement. Statement: A function is a relation between a set of input elements and a set of possible output elements where each input is related to exactly one output. Conclusion I: Every input element is related to every output element. Conclusion II: Every input element is related to one element of the output.

A

Only conclusion I follows

B

Only conclusion II follows

C

Neither I nor II follows

D

Both I and II follows

In a town fair 50 people were asked which dessert they liked: ice cream, Donuts, or cupcakes. 28 said they like ice cream, 26 said they like donuts, and 26 said they like cupcakes. 8 said they like all three. 17 said they like donuts and cupcakes, 11 said they like ice cream and cupcakes. 5 said they do not like any of these. Find those people who liked ice cream and donuts but not cupcakes.

A

10

B

7

C

5

D

9

E

None of the above

If 'banana' is said 'apple', 'apple' is said 'grapes', 'grapes' is said 'mango', 'mango' is said 'cashew', 'cashew' is said 'guava', 'guava' is said 'papaya' then which fruit is known as the king of fruits?

A

Cashew

B

Mango

C

Apple

D

Grapes

There are five hobby clubs in a college viz., photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

A

3

B

5

C

10

D

18

There are five hobby clubs in a college - photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

A

5

B

18

C

10

D

3

Consider the following statements: 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has 10 elements, then its power set will have 1024 elements. Which of the above statements are correct?

A

1 and 2 only

B

2 and 3 only

C

1 and 3 only

D

1, 2 and 3

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. It is necessary, then, to keep our ____________ acts under some surveillance of attention, to pass them in review for inspection every now and _________, that we may discover possible modifications which will make them more serviceable. We need to be __________, constantly to find out better ways of doing things. Habit takes care of our standing, walking, sitting; but how many of us could _________ improve his poise and carriage if he would? Our speech has become largely automatic, but no doubt all of us might remove _____________ of enunciation, pronunciation or stress from our speaking. every now and _________, that we may

A

than

B

then \

C

that \

D

this

S₁: A man handed a pair of trousers to the departmental store-clerk and said,"I'd like these altered, please".
P: He said that free alteration is not possible without a receipt.
Q: The man said,"Okay, I'd like to return the trousers". The clerk took them back and returned his money.
R: The man pushed the money and said,"Now I want to buy them". The clerk put the trousers in a bag, issued receipt and handed him both.
S: The clerk asked for the sales receipt but after searching his pockets the man replied that he had lost it.
S₆: Triumphantly he put the trousers and the receipt on the counter and said,'I'd like to have these altered, please."

The Proper sequence should be:

A

PSQR

B

PSRQ

C

QRPS

D

SPQR

In the generation of element geometries, if dx dy represents an area element in the real element and dεdη represents the corresponding area element in the master element, then what is the expression for Jacobian je?

A

(dx dy) (dεdη) }\) View Answer]

B

\(\frac{dx}{d\epsilon} \frac{dy}{d\eta}\)

C

\(\frac{d\epsilon}{dx} \frac{d\eta}{dy}\)

D

\(\frac{1}{(dx dy) (d\epsilon d\eta)}\)

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. It is a proverbial ___________, that every one makes his own destiny; and __________ is usually interpreted, that every one, by his wise ______ unwise conduct, preparesgood or evil for himself: but we may also understand it, that whatever it be that he receives _________ the hand of Providence, he may so accommodate __________ toit, that he will find his lot good for him, however much may seem to others to be wanting. It is a proverbial ___________, that every one makes

A

say

B

said

C

saying

D

says

If every element of a set A is also an element of a set B, then A is said to be a _________ of set B.

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