MCQ
Statement-1 (A): A four digit number is formed using the digits 1, 2, 5, 6 and 8 without repetition. The probability that it is an even number is $\frac{3}{5}$.
Statement-2 (R): The units digit of even number is also an even number.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-5
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.

Answer

Correct option: B.
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-5
b

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Statement A (Assertion) : $\sqrt{\frac{1-\cos \theta}{1+\cos \theta}}$ $=\operatorname{cosec} \theta-\cot \theta$
Statement R (Reason) : $\sin ^2 \theta+\cos ^2 \theta=1$.
Statement-1 (A): A tangent to a circle is perpendicular to the radius through the point of contact.
Statement-2 (R): The lengths of tangents drawn from an external point to a circle are equal.
Statement $A ($Assertion$) : 4 x+3 y=12$ is a line which is parallel to $8 x+6 y=48$.
Statement $R ($Reason$)$: The graph of linear equation $a x=b$, where $a \neq 0$ is parallel to $x$-axis.
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The value of $k$ for which the equation $kx^2 - 12x + 4 = 0$ has equal roots, is $9.$
Reason: The equation $ax^2 + bx + c = 0 , (0\neq\text{a})$ has equal roots, if $(b^2 - 4ac) > 0.$
Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : If a pair of linear equations is consistent, then the lines are intersecting or coincident
Reason : Because the two lines definitely have a solution.
Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R).$ Mark the correct choice as:
Assertion : Three points $A, B, C$ are such that $AB + BC > AC,$ then they are collinear.
Reason : Three points are collinear if they lie on a straight line.
Statement A (Assertion) : In figure, $D E|| A C$ and $D C|| A P$. Then $\frac{B E}{E C}=\frac{B C}{C P}$.
Image
Statement $R$ (Reason) : If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
Directions: In the following questions, the Assertions $(A)$ and Reason $(s)\ (R$) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : The equation $x^2 + 3x + 1 = (x - 2)^2$ is a quadratic equation.
Reason : Any equation of the form $ax^2 + bx + c = 0$ where $\text{a}\neq0,$ is called a quadratic equation.
Assertion $(A):$ For any two positive integers $a$ and $b, \operatorname{HCF}(a, b) \times \operatorname{LCM}(a, b)=a \times b$
Reason $(R):$ The $\text{HCF}$ of two numbers is $5$ and their product is $150.$ Then their $\text{LCM}$ is $40.$
Statement A (Assertion) : Seven face cards are removed from a deck of cards and the cards are well shuffled. Then the probability of drawing a face card is $\frac{5}{52}$.
Statement R (Reason) : King, Queen and Jack are known as face cards. So, there are 12 face cards in total.