Questions 461–470 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 47 of 72

Question 6

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GAMCQ2 marksNeeds review
How many integers are there between 100 and 1000 all of whose digits are even?
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Question 7

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GAMCQ2 marksNeeds review
The ratio of the number of boys and girls who participated in an examination is 4:3. The total percentage of candidates who passed the examination is 80 and the percentage of girls who passed is 90. The percentage of boys who passed is ______.
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Question 8

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GAMCQ2 marksNeeds review
An award-winning study by a group of researchers suggests that men are as prone to buying on impulse as women but women feel more guilty about shopping.
Which one of the following statements can be inferred from the given text?
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Question 9

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GAMCQ2 marksNeeds review
Given two sets

and

, we construct a set

of all possible fractions where the numerators belong to set

and the denominators belong to set

. The product of elements having minimum and maximum values in the set

is ____.
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Question 10

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GAMCQ2 marksNeeds review
Consider five people – Mita, Ganga, Rekha, Lakshmi and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga. Which of the following conclusions are true?
Lakshmi is taller than Rekha
Rekha is shorter than Mita
Rekha is taller than Sana
Sana is shorter than Ganga
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Question 1

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EEMCQ1 markNeeds review
The inverse Laplace transform of

for

is
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Question 2

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EEMCQ1 markNeeds review

is a

matrix with eigenvalues 4 and 9. The eigenvalues of

are
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Question 3

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EEMCQ1 markNeeds review
The partial differential equation

; where

is known as
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Question 4

Open question
EEMCQ1 markNeeds review
Which one of the following functions is analytic in the region

?
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Question 5

Open question
EEMCQ1 markNeeds review
The mean-square of a zero-mean random process is

, where

is Boltzman’s constant,

is the absolute temperature, and

is a capacitance. The standard deviation of the random process is
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