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JEE Exam  >  JEE Tests  >  VITEEE PCME Mock Test - 8 - JEE MCQ

VITEEE PCME Mock Test - 8 - JEE MCQ


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30 Questions MCQ Test - VITEEE PCME Mock Test - 8

VITEEE PCME Mock Test - 8 for JEE 2024 is part of JEE preparation. The VITEEE PCME Mock Test - 8 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 8 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 8 below.
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VITEEE PCME Mock Test - 8 - Question 1
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For the curve x = t2 - 1, y = t2 - t tangent is parallel to x-axis where

VITEEE PCME Mock Test - 8 - Question 2
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The area, in square unit, bounded by the curves y = x3, y = x2 and the ordinates x = 1, x = 2 is

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VITEEE PCME Mock Test - 8 - Question 3
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VITEEE PCME Mock Test - 8 - Question 4
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If z and ω are two non-zero complex numbers such that |z ω | = 1, and arg(z) - arg(ω)= π/2,then z̅ω is equal to
VITEEE PCME Mock Test - 8 - Question 5
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VITEEE PCME Mock Test - 8 - Question 6
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The derivative of an odd function is an
VITEEE PCME Mock Test - 8 - Question 7
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Suppose ω is an imaginary cube root of unity. If (1+ω2)m = (1+ω4)m, then the least positive integral value of m is
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 7

The given equation reduces to (−ω)m    = (−ω2)m 

⇒ ωm  = 1 

⇒ m = 3

VITEEE PCME Mock Test - 8 - Question 8
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VITEEE PCME Mock Test - 8 - Question 9
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   is continuous at x = 0, then k =
VITEEE PCME Mock Test - 8 - Question 10
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The differential equation which represents the family of plane curves y=exp. (cx) is
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 10

y = ecx
dy/dx = c. ecx
y' = cy

VITEEE PCME Mock Test - 8 - Question 11
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The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as follows
VITEEE PCME Mock Test - 8 - Question 12
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If y = y(x) and [(2 + sin x)∕(y + 1)(dy∕dx)] = -cos x, y(0) = 1, then y (π∕2) equals
VITEEE PCME Mock Test - 8 - Question 13
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Integrating factor of  

VITEEE PCME Mock Test - 8 - Question 14
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If f(x) = cos (logx), then f(x) f(y) -1/2[f(x/y) + f(xy)] has the value
VITEEE PCME Mock Test - 8 - Question 15
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If siny=x sin (a+y), (dy/dx)=
VITEEE PCME Mock Test - 8 - Question 16
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∫sin√x dx =
VITEEE PCME Mock Test - 8 - Question 17
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∫[(sec2x)/(1+tanx)] dx =
VITEEE PCME Mock Test - 8 - Question 18
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If sin (sin⁻1 1/5 + cos-1 x) = 1, then x is equal to
VITEEE PCME Mock Test - 8 - Question 19
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If a , b , c , d are positive real numbers then 

VITEEE PCME Mock Test - 8 - Question 20
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Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 20

Statements are logically equivalent to their contrapositives.

VITEEE PCME Mock Test - 8 - Question 21
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Directions: Refer to the graph and answer the following question.

The line graph below gives information about the number of applications received by different colleges A, B and C for admission to their MBA programme from 2012 to 2016.

Q. Out of total applications received by colleges A, B and C in 2014, 40% were shortlisted by college A, 35% were shortlisted by college B and 60% were shortlisted by college C for further rounds. How many applicants were shortlisted by colleges A, B and C together in 2014?
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 21

Total number of applicants shortlisted from college A, B and C = 0.4 x 1350 + 0.35 x 2300 + 0.6 x 1650 = 540 + 805 + 990 = 2335

VITEEE PCME Mock Test - 8 - Question 22
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Directions: Refer to the graph and answer the following question.

The line graph below gives information about the number of applications received by different colleges A, B and C for admission to their MBA programme from 2012 to 2016.

Q. Total applications received by college A in years 2012, 2013 and 2014 are what percent (approximately) of those received by college B in years 2014, 2015 and 2016?
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 22

Number of applications received by college A in years 2012, 2013 and 2014 = 1800 + 1500 + 1350 = 4650
Number of applications received by college B in years 2014, 2015 and 2016 = 2300 + 1600 + 2000 = 5900
Required percentage = (4650 x 100)/5900 = 78.81%

VITEEE PCME Mock Test - 8 - Question 23
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Direction: Study the following information carefully to answer the given questions:

If 'A () B' means 'B is the mother of A'

If 'A of B' means 'B is the father of A'

If 'A ÷ B' means 'B is the sister of A'

If 'A × B' means 'B is the brother of A'

If 'A + B' means 'B is the daughter of A'

If 'A - B' means 'B is the son of A'

Q. If 'T - P ÷ Q' is given, then how is Q related to T?
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 23



'T - P ÷ Q' means P is son of T, Q is sister of P.

Hence, Q is daughter of T.

VITEEE PCME Mock Test - 8 - Question 24
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Direction: Study the following information carefully to answer the given questions:

If 'A () B' means 'B is the mother of A'

If 'A of B' means 'B is the father of A'

If 'A ÷ B' means 'B is the sister of A'

If 'A × B' means 'B is the brother of A'

If 'A + B' means 'B is the daughter of A'

If 'A - B' means 'B is the son of A'

Q. If 'P of Q + R' is given, then which of the following is true?
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 24

'P of Q + R' means Q is the father of P, R is the daughter of Q.

Hence, R is the sister of P.

VITEEE PCME Mock Test - 8 - Question 25
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Direction: Study the following information carefully to answer the given questions:

If 'A () B' means 'B is the mother of A'

If 'A of B' means 'B is the father of A'

If 'A ÷ B' means 'B is the sister of A'

If 'A × B' means 'B is the brother of A'

If 'A + B' means 'B is the daughter of A'

If 'A - B' means 'B is the son of A'

Q. What does 'L () M ÷ N' means?
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 25

'L() M ÷ N' means M is mother of L, N is sister of M.

Hence, M and N are both sisters.

VITEEE PCME Mock Test - 8 - Question 26
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Direction: Study the following information carefully to answer the given questions:

If 'A () B' means 'B is the mother of A'

If 'A of B' means 'B is the father of A'

If 'A ÷ B' means 'B is the sister of A'

If 'A × B' means 'B is the brother of A'

If 'A + B' means 'B is the daughter of A'

If 'A - B' means 'B is the son of A'

Q. If 'Y x Z () K' is given, how is Z related to K?
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 26

'Yx Z () K' means Z is the brother of Y, K is the mother of Z.

Hence, Z is the son of K.

VITEEE PCME Mock Test - 8 - Question 27
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The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 27

Let the number of girls be 2x and number of boys be x.

Girls getting admission = 0.6x

Boys getting admission = 0.45x

Number of students not getting admission = 3x – 0.6x -0.45x = 1.95x

Percentage = (1.95x/3x) * 100 = 65%

VITEEE PCME Mock Test - 8 - Question 28
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The ratio of number of male and female journalists in a newspaper office is 5:4. The newspaper has two sections, political and sports. If 30 percent of the male journalists and 40 percent of the female journalists are covering political news, what percentage of the journalists (approx.) in the newspaper is currently involved in sports reporting?
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 28

The ratio of number of male and female journalists in a newspaper office is 5:4.

The newspaper has two sections, political and sports.

If 30 percent of the male journalists and 40 percent of the female journalists are covering political news, what percentage of the journalists (approx.) in the newspaper is currently involved in sports reporting?

Let ‘9x’ be the number of total journalists in the office.
Then, we can say that the number of male and female journalists are ‘5x’ and ‘4x’ respectively.

It is given that 30 percent of the male journalists and 40 percent of the female journalists are covering political news. Hence, total number of journalists who are covering political news = 0.3*5x + 0.4*4x = 3.1x

Therefore, the total number journalists who are covering sports news = 9x – 3.1x = 5.9x.
Hence, the percentage of the journalists in the newspaper is currently involved in sports reporting = 5.9x/9x x 100 ≈ 

65 percent. Therefore, option B is the correct answer.

VITEEE PCME Mock Test - 8 - Question 29
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If equal numbers of people are born on each day, find the approximate percentage of the people whose birthday will fall on 29th February. If we are to consider people born in 20th century (1901-2000) and assuming no deaths.
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 29

Assume one person is born every day. In 100 years, there will be 25 leap years. So 25*1 additional people will be born on these days.
So, total people born will be = 365 x 100 x 1 + 25 x 1
And people born on 29th february = 25 x 1
Hence percentage will be 

VITEEE PCME Mock Test - 8 - Question 30
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In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to
Detailed Solution for VITEEE PCME Mock Test - 8 - Question 30

Let ‘x’ be the strength of group G. Based on the information, 0.65x constitutes of literate people {the rest 0.35x = illiterate}
Of this 0.65x , 75% are old people =(0.75)0.65x old literates.
The total number of old people in group G is 0.72x  {72% of the total}.
Thus, the total number of old people who are illiterate = 0.72x - 0.4875x = 0.2325x.
This is 
≈ 66& of the total number of illiterates.
Hence, Option C is the correct answer.

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