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

If x is the additive identity and y is the multiplicative identity for rational numbers, what is the value of (x+y)×(y/x)

• 1
• undefined
• x+y
• 0

• One
• Ten
• Infinitely many
• A hundred

Based on the definition of rational numbers, which of the following is NOT a rational number?

• Square root of 2
• 0.75
• -5
• 3.14

• Associative property of multiplication
• Distributive property of multiplication
• Identity property of multiplication
• Commutative property of multiplication

The sum of the first n odd natural numbers is N. If N=361, what is n?

• 17
• 19
• 15
• 21

If 12 is the smallest member of a Pythagorean triplet, what are the other two members?

• 5, 13
• 10, 14
• 9, 11
• 7, 15

The mathematical operation that is the inverse of squaring is:

• Square root
• Adding
• Cubing
• Subtracting

To find the square root of 4096 by prime factorization, how many factors of 2 should be taken from the entire factorization?

• 6
• 10
• 8
• 4

The sum of the consecutive odd numbers 13+15+17+19 is equal to:

• 72
• 70
• 60
• 64

The prime factorization of a number N results in N=2×2×5×5×5. Why is N=500 not a perfect cube?

• N=500 is not a perfect cube because it has too many prime factors.
• N=500 is not a perfect cube because the exponent of 5 is too high.
• N=500 is not a perfect cube because the exponent of 2 in its prime factorization is not a multiple of 3.
• N=500 is not a perfect cube because it is an even number.