Foundation Level IV JEE MOCK TEST -4 Maths (2025-2026)

All the rational and irrational numbers taken together are known as:

• Integers

• Imaginary Numbers

• Whole Numbers

• Real Numbers

Using the averaging method, a rational number between 2 and 5 is

• 2.5

• 7/2

• 5/2

• 3

The product of a non-zero rational number with an irrational number is always:

• Rational

• Zero

• Irrational

• Cannot be determined

Evaluate (64)^−1/3

• 1/16

• 1/4

• 4

• −4

• √(3 + 4√7)
• √(7 + 4√3)
• √(7 + 4)
• √(7 - 4√3)

A non-zero constant is a polynomial of degree:

• 1
• 0
• -1
• 2

Given p(x)=x²−5x+6. If x=2 is substituted, p(2)=0. Hence, 2 is a zero of the polynomial. Which other value is also a zero?

• 1
• 4
• 5
• 3

If q(x)=x²+3x+4, the expression for 2q(a) is:

• 2a² + 4a + 6

• 2x² + 3x + 4

• 2a² + 3a + 4

• 2a² + 6a + 8

If the sum of the coefficients of odd powers in a polynomial is equal to the sum of coefficients of even powers, then which linear expression is a factor?

• x + 1
• x - 2
• x² + 1

• x - 1

Evaluate 185×185−15×15 using the identity x²−y²:

• 34000
• 33000
• 34050
• 35000