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SRMJEEE Maths Mock Test - 6 - JEE MCQ


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30 Questions MCQ Test SRMJEEE Subject Wise & Full Length Mock Tests 2024 - SRMJEEE Maths Mock Test - 6

SRMJEEE Maths Mock Test - 6 for JEE 2024 is part of SRMJEEE Subject Wise & Full Length Mock Tests 2024 preparation. The SRMJEEE Maths Mock Test - 6 questions and answers have been prepared according to the JEE exam syllabus.The SRMJEEE Maths Mock Test - 6 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SRMJEEE Maths Mock Test - 6 below.
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SRMJEEE Maths Mock Test - 6 - Question 1

The least value of a for which the equation 4/sin x + 1/1 - sin x = a has atleast one solution on the interval (0, π/2) is

SRMJEEE Maths Mock Test - 6 - Question 2

The area enclosed by the parabola y2 = 8x and the line y = 2x is

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SRMJEEE Maths Mock Test - 6 - Question 3

The term independent of x in the expansion of [x2-(1/3x)]9 is

SRMJEEE Maths Mock Test - 6 - Question 4

the area bounded by the curves

x + 2 ∣y∣ = 1 and x = 0 is

SRMJEEE Maths Mock Test - 6 - Question 5

If the line 2x - y + k = 0 is a diameter of the circle x2 + y2 + 6x -6y + 5 =0, then k is equal to

SRMJEEE Maths Mock Test - 6 - Question 6

If α is a complex cube root of unity, for n ∈ N, α(3n+1) + α(3n+3) + α(3n+5) =

SRMJEEE Maths Mock Test - 6 - Question 7

If the focii of an ellipse (x2/16)+(y2/b2)=1 and hyperbola (x2/144)-(y2/81)=(1/25) are coincident, b2=

SRMJEEE Maths Mock Test - 6 - Question 8

Detailed Solution for SRMJEEE Maths Mock Test - 6 - Question 8

SRMJEEE Maths Mock Test - 6 - Question 9

SRMJEEE Maths Mock Test - 6 - Question 10

y = Aex + Be2x + Ce3x satisfies the diferential equation

SRMJEEE Maths Mock Test - 6 - Question 11

At x=3, (d/dx)[|x-1|+|x-5|]=

SRMJEEE Maths Mock Test - 6 - Question 12

If f : ℝ → ℝ is defined by

then f is continuous on the set

SRMJEEE Maths Mock Test - 6 - Question 13

SRMJEEE Maths Mock Test - 6 - Question 14

The inverse of

SRMJEEE Maths Mock Test - 6 - Question 15

SRMJEEE Maths Mock Test - 6 - Question 16

SRMJEEE Maths Mock Test - 6 - Question 17

If A is a singular matrix, then A adj (A)

SRMJEEE Maths Mock Test - 6 - Question 18

If for all positive x, where a, b > 0, then

Detailed Solution for SRMJEEE Maths Mock Test - 6 - Question 18

SRMJEEE Maths Mock Test - 6 - Question 19

The following data gives the time period, for which a group of people could hold their breath

The mean of above is

SRMJEEE Maths Mock Test - 6 - Question 20

Inter Quartile Range is _____ of Quartile Deviation.

SRMJEEE Maths Mock Test - 6 - Question 21

The angle between pair of lines 2x2+5xy+2y2+3x+3y+1=0 is

SRMJEEE Maths Mock Test - 6 - Question 22

Five digit number divisible by 3 is formed using the digits 0, 1 , 2, 3, 4 and 5 without repetition. Total number of such numbers is

Detailed Solution for SRMJEEE Maths Mock Test - 6 - Question 22

A number is divisible by 3 if and only if the sum of its digits are divisible by 3
Notice that 1 + 2 + 3 + 4 + 5 = 15, which is divisible by 3
The only other way we can have a sum of 5 digits divisible by 3 is to replace the 3 by the 0 making the sum 3 less:
1 + 2 + 0 + 4 + 5 = 12, which is divisible by 3
No other choice of 5 digits can have a sum divisible by 3, because there is no other way to make the sum 12 or 15, and we certainly can't have a sum of 9 or 18
So the number of 5-digit numbers that can be formed from the digits {1,2,3,4,5} is

Number of ways = 1 x 2 x 3 x 4 x 5 = 120
And the number of 5-digit numbers that can be formed from the digits {1, 2, 0, 4, 5} is figured this way

Number of ways = 1 x 2 x 3 x 4 x 4 = 96
Total Number of ways = 120 + 96 = 216

SRMJEEE Maths Mock Test - 6 - Question 23

Three identical dice are rolled. The probability that the same number will appear on each of them, is

SRMJEEE Maths Mock Test - 6 - Question 24

If the ratio in angles of any ∆ABC 2:3:7 then the ratio is in its sides are

SRMJEEE Maths Mock Test - 6 - Question 25

The number of real solutions of the equation

∣x∣2 - 4 ∣x∣ + 3 = 0 is

SRMJEEE Maths Mock Test - 6 - Question 26

For all positive values of x and y, the value of (1 + x + x2)(1 + y + y2)/(xy) is

SRMJEEE Maths Mock Test - 6 - Question 27

Which of the following is the empty set?

SRMJEEE Maths Mock Test - 6 - Question 28

SRMJEEE Maths Mock Test - 6 - Question 29

If A(1,3) and C(5,1) are coordinates of opposite vertices of rectangle. The gradient of a line passing through remaining vertices is 2. The equation of line is

SRMJEEE Maths Mock Test - 6 - Question 30

The equation of the normal of the curve y=x(2-x) at the point (2,0) is

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