Algebra Play Class 8 Assertion and Reasoning Questions

Algebra Play Class 8 Assertion and Reasoning Questions

Algebra Play Class 8 Assertion and Reasoning Questions

In each of the following questions, two statements have been given. One has been labelled as Assertion (A) and the other has been labelled as Reason (R). You have to choose the correct option, from the given four options.

(а) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

(c) (A) is correct but (R) is not correct.

(d) (R) is correct but (A) is not correct.

1. (A) : A two digit number on subtracting from the two digit number formed on reversing its digits yield a number divisible by 7.

(R) : 92 - 29 = 63, which is divisible by 7.

Answer:

(d) (R) is correct but (A) is not correct.

2. (A) : If a, b and c are three digits, then (cba - abc) is divisible by 99.

(R) : The above difference is divisible by c - a, if c > a.

Answer:

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

3. (A) : If a, b and c are three digits, then (abc + bca + cab) is divisible by prime numbers 3 and 37.

(R) : abc + bca + cab

= (100a + 10b + c) + (100b + 10c + a) + (100c + 10a + b)

= 111 (a + b + c).

Answer:

(а) Both the statements (A) and (R) are correct and (R) is the correct explanation of (A).

4. (A): The sum of all the four numbers of a 2 x 2 calender grid, with smallest number 5 is 36.

(R) : The sum of all the four numbers of a 2 x 2 calender grid is divisible by 4.

Answer:

(b) Both the statements (A) and (R) are correct but (R) is not the correct explanation of (A).

5. (A) : When the bottom row is then top number is 13.

(R) : The top number of the bottom row of a pyramid number is an odd number.

Answer:

(c) (A) is correct but (R) is not correct.