VITEEE PCME Mock Test - 8 - JEE MCQ

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

The derivative of an odd function is an

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

   is continuous at x = 0, then k =

The differential equation which represents the family of plane curves y=exp. (cx) is

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

If y = y(x) and [(2 + sin x)∕(y + 1)(dy∕dx)] = -cos x, y(0) = 1, then y (π∕2) equals

Integrating factor of  

If f(x) = cos (logx), then f(x) f(y) -1/2[f(x/y) + f(xy)] has the value

If siny=x sin (a+y), (dy/dx)=

∫sin√x dx =

∫[(sec²x)/(1+tanx)] dx =

If sin (sin⁻¹ 1/5 + cos^-1 x) = 1, then x is equal to

If a , b , c , d are positive real numbers then 

Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?

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?

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?

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?

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?

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?

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?

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

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?

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.

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