GATE XE format:mcq PYQs & Answers — Page 38

Questions 371–380 of 959. Imported answers require independent review unless marked reviewed.

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low.

Which one of the following is the CORRECT logical inference based on the information in the above passage?

Your answerChoose one option.

Fewer people are visiting the malls but spending more

More people are visiting the malls but not spending enough

More people are visiting the malls and spending more

Fewer people are visiting the malls and not spending enough

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In a partnership business the monthly investment by three friends for the first six months is in the ratio 3: 4: 5. After six months, they had to increase their monthly investments by 10%, 15% and 20%, respectively, of their initial monthly investment. The new investment ratio was kept constant for the next six months.

What is the ratio of their shares in the total profit (in the same order) at the end of the year such that the share is proportional to their individual total investment over the year?

Your answerChoose one option.

22 : 23 : 24

22 : 33 : 50

33 : 46 : 60

63 : 86 : 110

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Consider the following equations of straight lines:

Line L1:

Line L2:

Line L3:

Line L4:

Which one among the following is the correct statement?

Your answerChoose one option.

L1 is parallel to L2 and L1 is perpendicular to L3

L2 is parallel to L4 and L2 is perpendicular to L1

L3 is perpendicular to L4 and L3 is parallel to L2

L4 is perpendicular to L2 and L4 is parallel to L3

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Given below are two statements and four conclusions drawn based on the statements.

Statement 1: Some soaps are clean.

Statement 2: All clean objects are wet.

Conclusion I: Some clean objects are soaps.

Conclusion II: No clean object is a soap.

Conclusion III: Some wet objects are soaps.

Conclusion IV: All wet objects are soaps.

Which one of the following options can be logically inferred?

Your answerChoose one option.

Only conclusion I is correct

Either conclusion I or conclusion II is correct

Either conclusion III or conclusion IV is correct

Only conclusion I and conclusion III are correct

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An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east.

The ant first turns

anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.

moves forward for 10 cm.

turns

clockwise.

The pattern made by the trace left behind by the ant is

Your answerChoose one option.

Diagram for Engineering Sciences question 10

Diagram for Engineering Sciences question 10 (figure 2)

Diagram for Engineering Sciences question 10 (figure 3)

Diagram for Engineering Sciences question 10 (figure 4)

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The value of

Your answerChoose one option.

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Let

be the set of complex numbers. Let the function

for

be analytic in

, where

denotes the derivative of

, then

Your answerChoose one option.

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If the partial differential equation

is parabolic on the circle

, then the values of

and

are given by

Your answerChoose one option.

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Let

be the continuous function such that

for all

, where

for all

. Then

is equal to

Your answerChoose one option.

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Let

and

matrices with real entries. Consider the following statements:

P: If

is symmetric then

Number of nonzero eigen values (count multiplicity) of

Q: If

then

Then

Your answerChoose one option.

both P and Q are TRUE

P is TRUE and Q is FALSE

P is FALSE and Q is TRUE

both P and Q are FALSE

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GATE XE format:mcq PYQs

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