VITEEE PCME Mock Test - 11 - JEE MCQ

The function f(x) = tan x/x for x ≠ 0 ; f (0) = 1 at x = 0 is

If 1 , ω , ω²  , … ω^n-1 are the n, nth roots of unity and z₁ and z₂ are any two, complex numbers, then 

For solving dy/dx=4x+y+1 suitable substitution is

The solution of the equation cosx cosy (dy/dx)=-sinx siny is

The differential equation of family of lines which passes (1,-1) is

If f : R → R is defined by f x = 2 x + | x | then f (3x) − f (-x)   − 4 x =

If f(x)   = e ^-1/x² , x ≠ 0, and f(0) = 0 then f ′(0)    is

y = A e^x + B e^2x + C e^3x  satisfies the diferential equation

∫logx dx =

∫[(1)/(4x²+9)]dx =

If sin^-1x − cos^-1x = π/6 , then x =

if f : R→R be such that f(1) = 4 and f^'(1) = 12 then 

Directions: Study the radar chart given below and answer the following questions.
Radar chart shows the markup % and discount % on five different articles sold by a shopkeeper.

 

Note:-1. Mark up % on any article=[(Marked Price-Cost Price) of that article)/Cost Price of that article]*100
2.Discount % on any article=[(Marked Price-Selling Price) of that article)/Marked Price of that article]*100

Q. If ratio of selling price of A to that of C is 40 : 27, then find marked price of C is what percent of cost price of A?

Direction: Study the following graph carefully to answer the questions that follow.
Number of Students (In thousands) in Two Different Universities in Six Different Years

Q. In which year was the difference between the number of students in university 1 and the number of students in university 2 highest?

Directions: Study the following graph carefully to answer the questions that follow.
Number of Students (In thousands) in Two Different Universities in Six Different Years

Q. What was the difference between the number of students in university 1 in the year 2010 and the number of students in university 2 in year 2012?

Directions: Study the following graph carefully to answer the questions that follow.
Number of Students (In thousands) in Two Different Universities in Six Different Years

Q. If 25% of the students in university 2 in the year 2010 were females, what was the number of male students in the university 2 in the same year?

Directions: In this type of questions, some particular words are assigned certain substituted names. Then a question is asked that is to be answered in the substituted code language.

If 'light' is called 'morning', 'morning' is called 'dark', 'dark' is called 'night', 'night' is called 'sunshine', and 'sunshine' is called 'dusk', when do we sleep?

Directions: In this type of questions, some particular words are assigned certain substituted names. Then a question is asked that is to be answered in the substituted code language.

If 'orange' is called 'butter', 'butter' is called 'soap', 'soap' is called 'ink', 'ink' is called 'honey' and 'honey' is called 'orange', which of the following is used for washing clothes ?

Directions: In this type of questions, some particular words are assigned certain substituted names. Then a question is asked that is to be answered in the substituted code language.

If 'sky' is 'star', 'star' is 'cloud', 'cloud' is 'earth', 'earth' is 'tree', and 'tree' is 'book', then where do the birds fly?

In a class of 60, along with English as a common subject, students can opt to major in Mathematics, Physics, Biology or a combination of any two. 6 students major in both Mathematics and Physics, 15 major in both Physics and Biology, but no one majors in both Mathematics and Biology. In an English test, the average mark scored by students majoring in Mathematics is 45 and that of students majoring in Biology is 60. However, the combined average mark in English, of students of these two majors, is 50. What is the maximum possible number of students who major ONLY in Physics?

Out of 60 families living in a building, all those families which own a car own a scooter as well. No family has just a scooter and a bike. 16 families have both a car and a bike. Every family owns at least one type of vehicle and the number of families that own exactly one type of vehicle is more than the number of families that own more than one type of vehicle. What is the sum of the maximum and minimum number of families that own only a bike?

400 students were admitted to the 2018-19 MBA batch. 200 of them did not choose “Business Statistics”. 100 of them did not choose “International Management’. There were 80 students who did not choose any of the two subjects. Find the number of students who chose both Business Statistics and International Management.