JEE Main Maths Mock Test- 6

Question 1

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A) :If a 2 x 2 matrix commutes with every 2 x 2 matrix, then it is a scalar matrix.
Reason(R) :A 2 x 2 scalar matrix commutes with every 2 x 2 matrix.

Accepted Answer

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Answer

Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.

Answer

Assertion is true but Reason is false.

Answer

Assertion is false but Reason is true.

Question 2

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
A committee of n persons is to be formed out of 30 persons.
Assertion(A) : The value of n for which the number of committees is maximum is n = 15
Reason(R) : In the expansion of (1 + x)^k , k ∈ N , the middle term has the greatest binomial coefficient.

Accepted Answer

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Answer

Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.

Answer

Assertion is true but Reason is false.

Answer

Assertion is false but Reason is true.

Question 3

The general solution of the equation x²(dy/dx)=2 is

Accepted Answer

y=c-(2/x)

Answer

y=c+(2/x)

Answer

y=2cx

Answer

y=c-(3/x³)

Question 4

The area of the region bounded the curve y = 2x - x² and the line y = x is

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 5

If line y=2x is a chord of the circle x²+y²-10x=0, the equation of the circle drawn on the chord assuming it as a diameter is

Accepted Answer

x²+y²-2x-4y=0

Answer

x²+y²-2x+4y=0

Answer

x²+y²+2x-4y=0

Answer

x²+y²+2x+4y=0

Question 6

If (cos θ + i sin θ)(cos 2θ + i sin 2θ).....(cos mθ + i + sin mθ) = 1 then the value of θ ,is (m is an integer)

Accepted Answer

(4 mπ)/[m(m + 1)]

Answer

4 m&pi;

Answer

(2 mπ)/[m (m + 1)]

Answer

(mπ)/[m(m + 1)]

Question 7

If circles x²+y²+2ax+c=0 and x²+y²+2by+c=0 touch each other, then

Accepted Answer

(1/a²)+(1/b²)=(1/c)

Answer

(1/a)+(1/b)=(1/c)

Answer

(1/a²)+(1/b²)=(1/c²)

Answer

(1/a)+(1/b)=cﾲ

Question 8

If the amplitude of z − 2 − 3i is π/4 , then the locus of z = x + iy is

Accepted Answer

x − y + 1 = 0

Answer

x + y − 1 = 0

Answer

x − y − 1 = 0

Answer

x + y + 1 = 0

Question 9

then f ′ (1) =

Accepted Answer

Answer

Answer

Answer

1/3

Question 10

The negation of the statement ' he is rich and happy' is given by

Accepted Answer

he is not rich or not happy.

Answer

he is not rich and not happy.

Answer

he is rich and happy .

Answer

he is not rich and happy.

Question 11

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): The function f(x)=sin x is symmetric about the line x = 0
Reason (R): Every even function is symmetric about y-axis

Accepted Answer

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Answer

Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.

Answer

Assertion is true but Reason is false.

Answer

Assertion is false but Reason is true.

Question 12

If N N + denotes the set of all positive integers and if f : N^{N +} → N is defined by f (n) = the sum of positive divisors of n then f (2^k . 3), where k is a positive integer is

Accepted Answer

4(2^{k + 1} - 1)

Answer

2^{k + 1} - 1

Answer

2(2^{k + 1} - 1)

Answer

3(2^{k + 1} - 1)

Question 13

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion (A): If n is a positive integer then 3²ⁿ + 7 is divisible by 8
Reason (R): G.C.F. of 16 and 88 is 8

Accepted Answer

Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.

Answer

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Answer

Assertion is true but Reason is false.

Answer

Assertion is false but Reason is true.

Question 14

If 3, -2, are the eigen values of a non-singular matrix A and |A| = 4, then the eigen values of adj A are

Accepted Answer

4/3, -2

Answer

3/4, -(1/2)

Answer

12, -8

Answer

-12, -8

Question 15

In throwing of two dice, the probability of getting a multiple of 4 is

Accepted Answer

1/4

Answer

1/9

Answer

1/3

Answer

none of these

Question 16

The combined equation to the tangents to the parabola y² = 4ax from an external point A (x₁, y₁) is

Accepted Answer

Answer

Answer

Answer

None of these

Question 17

If ⁿP_r=840, ⁿC_r=35, then n=

Accepted Answer

7

Answer

1

Answer

3

Answer

5

Question 18

Mode is approximately given by

Accepted Answer

3 median - 2 mean

Answer

2 median - 3 mean

Answer

2 median + 3 mean

Answer

3 median + 2 mean

Question 19

The equation of line passing through intersection point of lines x+5y+7=0 and 3x+2y-5=0 and perpendicular to line 7x+2y-5=0 is

Accepted Answer

2x-7y-20=0

Answer

2x+7y-20=0

Answer

-2x+7y-20=0

Answer

2x+7y+20=0

Question 20

The subnormal to the curve xy = c² at any point varies directly as

Accepted Answer

Cube of the ordinate(y³)

Answer

Square of ordinate (y²)

Answer

Ordinate (y)

Answer

Question 21

The number of solutions of the equation tan²x –sec⁶x + 1 = 0 in [0, 4π] is :-

Accepted Answer

Question 22

If solution of equation 3cos²θ – 2√3 sin θ cos θ – 3sin²θ = 0 are nπ + π/r and nπ + π/s then |r – s| is equal to:-

Accepted Answer

Question 23

If (x₁ – x₂)² + (y₁ – y₂)² = a² ;
(x₂ – x₃)² + (y₂ – y₃)² = b² ;
(x₃ – x₁)² + (y₃ – y₁)² = c² and
= (a + b + c)(b + c – a)(c + a – b)(a + b – c)
Then the value of k is :-

Accepted Answer

Question 24

The interior angles of a convex polygon form an arithmetic progression with a common difference of 4°. Determine the number of sides of the polygon if its largest interior angle is 172°:-

Accepted Answer

Question 25

<img src="https://cn.edurev.in/ApplicationImages/Temp/fbeddd91-ad92-450e-bc46-b2cdb439c160_lg.jpg" /> equals :-

Accepted Answer

JEE Main & Advanced Maths Mock Test- 6 Free Online Test 2026

Full Mock Test & Solutions: JEE Main Maths Mock Test- 6 (25 Questions)

The general solution of the equation x²(dy/dx)=2 is

The area of the region bounded the curve y = 2x - x² and the line y = x is

If line y=2x is a chord of the circle x²+y²-10x=0, the equation of the circle drawn on the chord assuming it as a diameter is

If (cos θ + i sin θ)(cos 2θ + i sin 2θ).....(cos mθ + i + sin mθ) = 1 then the value of θ ,is (m is an integer)

If circles x²+y²+2ax+c=0 and x²+y²+2by+c=0 touch each other, then

If the amplitude of z − 2 − 3i is π/4 , then the locus of z = x + iy is

then f ′ (1) =

The negation of the statement ' he is rich and happy' is given by

If N N + denotes the set of all positive integers and if f : N^{N +} → N is defined by f (n) = the sum of positive divisors of n then f (2^k . 3), where k is a positive integer is

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion (A): If n is a positive integer then 3²ⁿ + 7 is divisible by 8
Reason (R): G.C.F. of 16 and 88 is 8

If 3, -2, are the eigen values of a non-singular matrix A and |A| = 4, then the eigen values of adj A are

In throwing of two dice, the probability of getting a multiple of 4 is

The combined equation to the tangents to the parabola y² = 4ax from an external point A (x₁, y₁) is

If ⁿP_r=840, ⁿC_r=35, then n=

Mode is approximately given by

The equation of line passing through intersection point of lines x+5y+7=0 and 3x+2y-5=0 and perpendicular to line 7x+2y-5=0 is

The subnormal to the curve xy = c² at any point varies directly as

The number of solutions of the equation tan²x –sec⁶x + 1 = 0 in [0, 4π] is :-

If solution of equation 3cos²θ – 2√3 sin θ cos θ – 3sin²θ = 0 are nπ + π/r and nπ + π/s then |r – s| is equal to:-

If (x₁ – x₂)² + (y₁ – y₂)² = a² ;
(x₂ – x₃)² + (y₂ – y₃)² = b² ;
(x₃ – x₁)² + (y₃ – y₁)² = c² and
= (a + b + c)(b + c – a)(c + a – b)(a + b – c)
Then the value of k is :-

The interior angles of a convex polygon form an arithmetic progression with a common difference of 4°. Determine the number of sides of the polygon if its largest interior angle is 172°:-

equals :-

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JEE Main & Advanced Mock Test Series 2026

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JEE Main & Advanced Maths Mock Test- 6 Free Online Test 2026

Full Mock Test & Solutions: JEE Main Maths Mock Test- 6 (25 Questions)

The general solution of the equation x2(dy/dx)=2 is

The area of the region bounded the curve y = 2x - x2 and the line y = x is

If line y=2x is a chord of the circle x2+y2-10x=0, the equation of the circle drawn on the chord assuming it as a diameter is

If (cos θ + i sin θ)(cos 2θ + i sin 2θ).....(cos mθ + i + sin mθ) = 1 then the value of θ ,is (m is an integer)

If circles x2+y2+2ax+c=0 and x2+y2+2by+c=0 touch each other, then

If the amplitude of z − 2 − 3i is π/4 , then the locus of z = x + iy is

then f ′ (1) =

The negation of the statement ' he is rich and happy' is given by

If N N + denotes the set of all positive integers and if f : NN + → N is defined by f (n) = the sum of positive divisors of n then f (2 k . 3), where k is a positive integer is

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer- Assertion (A): If n is a positive integer then 32n + 7 is divisible by 8 Reason (R): G.C.F. of 16 and 88 is 8

If 3, -2, are the eigen values of a non-singular matrix A and |A| = 4, then the eigen values of adj A are

In throwing of two dice, the probability of getting a multiple of 4 is

The combined equation to the tangents to the parabola y2 = 4ax from an external point A (x1, y1) is

If nPr=840, nCr=35, then n=

Mode is approximately given by

The equation of line passing through intersection point of lines x+5y+7=0 and 3x+2y-5=0 and perpendicular to line 7x+2y-5=0 is

The subnormal to the curve xy = c2 at any point varies directly as

The number of solutions of the equation tan2x –sec6x + 1 = 0 in [0, 4π] is :-

If solution of equation 3cos2θ – 2√3 sin θ cos θ – 3sin2θ = 0 are nπ + π/r and nπ + π/s then |r – s| is equal to:-

If (x1 – x2)2 + (y1 – y2)2 = a2 ; (x2 – x3)2 + (y2 – y3)2 = b2 ; (x3 – x1)2 + (y3 – y1)2 = c2 and = (a + b + c)(b + c – a)(c + a – b)(a + b – c) Then the value of k is :-

The interior angles of a convex polygon form an arithmetic progression with a common difference of 4°. Determine the number of sides of the polygon if its largest interior angle is 172°:-

equals :-

JEE Main & Advanced Mock Test Series 2026

JEE Main & Advanced Mock Test Series 2026

Top Courses for JEE

About this JEE Mock Test

Explore more JEE Resources

The general solution of the equation x²(dy/dx)=2 is

The area of the region bounded the curve y = 2x - x² and the line y = x is

If line y=2x is a chord of the circle x²+y²-10x=0, the equation of the circle drawn on the chord assuming it as a diameter is

If circles x²+y²+2ax+c=0 and x²+y²+2by+c=0 touch each other, then

If N N + denotes the set of all positive integers and if f : N^{N +} → N is defined by f (n) = the sum of positive divisors of n then f (2^k . 3), where k is a positive integer is

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion (A): If n is a positive integer then 3²ⁿ + 7 is divisible by 8
Reason (R): G.C.F. of 16 and 88 is 8

The combined equation to the tangents to the parabola y² = 4ax from an external point A (x₁, y₁) is

If ⁿP_r=840, ⁿC_r=35, then n=

The subnormal to the curve xy = c² at any point varies directly as

The number of solutions of the equation tan²x –sec⁶x + 1 = 0 in [0, 4π] is :-

If solution of equation 3cos²θ – 2√3 sin θ cos θ – 3sin²θ = 0 are nπ + π/r and nπ + π/s then |r – s| is equal to:-

If (x₁ – x₂)² + (y₁ – y₂)² = a² ;
(x₂ – x₃)² + (y₂ – y₃)² = b² ;
(x₃ – x₁)² + (y₃ – y₁)² = c² and
= (a + b + c)(b + c – a)(c + a – b)(a + b – c)
Then the value of k is :-