Correct Answer is: 920

Correct Answer is: 6 days

Correct Answer is: 3

Given:

The number = 1083

To find: the smallest whole number that must be multiplied to 1083 to make it a perfect square.

Concept Used:

For a number to be a perfect square, all prime factors must appear in even times.

Solution:

Factorize: 1083 = 3 ×​ 19 × ​19

For 1083 to be a perfect square, we need to multiply by 3, as 3 appears with an odd times.

So, the smallest number to multiply is 3.

Correct Answer is: 3/4

Correct Answer is: 24/25

Correct Answer is: 332.22

Given:

Speed of first train = 140 km/h

Speed of second train = 80 km/h

Time = 11 seconds

Length of one train = 340 m

Formula Used:

Distance = Speed × Time

Solution:

Relative speed = 140 + 80 = 220 km/h

Correct Answer is: Distance from O to vertex Y equals distance from O to vertex Z

Correct Answer is: If we add zero to a rational number then we will get zero.

(A) The results are always a rational number if we multiply, add, or subtract any two rational numbers.

Correct: Rational numbers are closed under multiplication, addition, and subtraction. Hence, the result of these operations on any two rational numbers will always be a rational number.

(B) A rational number remains the same if we divide or multiply both the numerator and denominator with the same factor.

Correct: If we multiply or divide both the numerator and denominator of a rational number by the same non-zero number, the value of the rational number remains unchanged.

(C) If we add zero to a rational number then we will get zero.

Incorrect: If we add zero to a rational number, we get the rational number itself, not zero. This statement is incorrect.

(D) Rational numbers are closed under addition, subtraction.

Correct: Rational numbers are closed under both addition and subtraction, meaning adding or subtracting any two rational numbers results in a rational number.

Thus, The incorrect option is (C).

Correct Answer is: 10 percent