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Maths Assertion (A) & Reason (B) MCQ

Probability · CBSE STD 10 (CBSE - English Medium). 7 questions.

Questions

Assertion (A) & Reason (B) MCQ

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7 questions · timed · auto-graded

MCQ 11 Mark
Statement-1 (A): In a cricket match, a batsman hits a boundary 9 times out of 45 balls he plays. The probability that in a given ball, he does hit the boundary is $\frac{4}{5}$.
Statement-2 (R): P(E) + P(notE) = 1
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-7
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: A.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
a
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MCQ 21 Mark
Statement-1 (A): Avni and Manvi were born in the year 2000. The probability that they have the same birthday is $\frac{1}{366}$.
Statement-2 (R): Leap year has 366 days.
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-6
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: A.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
a
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MCQ 31 Mark
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
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MCQ 41 Mark
Statement-1 (A): A number is selected from the numbers 1, 2, 3, ..., 10. The probability that it is a root of the equation$x^2-2 x+1=0$ is $\frac{1}{5}$.
Statement-2 (R): The equation $x^2-2 x+1=0$ has two roots
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-4
  • C
    Statement-1 is true, Statement-2 is false.
  • ✓
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: D.
Statement-1 is false, Statement-2 is true.
d
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MCQ 51 Mark
Statement-1 (A): A cubical die is rolled. The probability of getting a composite number is $\frac{1}{3}$.
Statement-2 (R): In a throw of a cubical die, the probability of getting a prime number is $\frac{2}{3}$.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-3
  • ✓
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: C.
Statement-1 is true, Statement-2 is false.
c
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MCQ 61 Mark
Statement-1 (A): When a die is rolled, the probability of getting a number which is a multiple of 3 and 5 both is zero.
Statement-2 (R): The probability of an impossible event is zero.
  • ✓
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-2
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: A.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
a
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MCQ 71 Mark
Statement-1 (A): The probability that a leap year has 53 Sundays is $\frac{2}{7}$.
Statement-2 (R): The probability that a non-leap year has 53 Sundays is $\frac{1}{7}$.
  • 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-1
  • 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-1
b
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Assertion (A) & Reason (B) MCQ - Maths STD 10 Questions - Vidyadip