Q. 126. The momentum of a given mass is proportional to its:
(A) Volume
(B) Speed
(C) Shape
(D) Colour
Answer:
(B) Speed
Explanation:
Momentum is defined mathematically as the product of mass and velocity ($p = mv$). For a given constant mass, momentum is directly proportional to its speed or velocity.
Q. 127. HCF of 8, 9, 25 is:
(A) 8
(B) 9
(C) 25
(D) 1
Answer:
(D) 1
Explanation:
The prime factorizations are $8 = 2^3$, $9 = 3^2$, and $25 = 5^2$. Because they share no common prime factors, their Highest Common Factor (HCF) is 1 (they are mutually co-prime).
Q. 128. The product of non-zero rational and irrational number is:
(A) rational
(B) irrational
(C) both rational and irrational
(D) none of these
Answer:
(B) irrational
Explanation:
By mathematical definition, multiplying any non-zero rational number by an irrational number will always result in a product that cannot be expressed as a simple fraction, hence it is irrational.
Q. 129. Which number is divisible by 11:
(A) 1516
(B) 1452
(C) 1011
(D) 1121
Answer:
(B) 1452
Explanation:
A number is divisible by 11 if the difference between the sum of its digits at odd places and even places is 0 or a multiple of 11. For 1452: $(1 + 5) – (4 + 2) = 6 – 6 = 0$.
Q. 130. If the sum of three numbers in Arithmetic Progression is 9 and their product is 24, then the numbers are:
(A) 2, 4, 6
(B) 1, 5, 3
(C) 2, 8, 4
(D) 2, 3, 4
Answer:
(D) 2, 3, 4
Explanation:
Let the AP numbers be , , and . Their sum is , meaning . Their product is , giving , so and . This means the numbers are 2, 3, and 4.
