Mathematics
Assertion (A) : 759 = 100 x 7 + 10 x 5 + 1 x 9.
Reason (R) : In a three-digit number 100p + 10q + 1r, the digit p at hundred's place is any whole number from 0 to 9, the digit q at ten's place is any whole number from 0 to 9 and the digit r at unit place is any whole number from 0 to 9.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Number Play
1 Like
Answer
Given,
759 = 100 x 7 + 10 x 5 + 1 x 9
Solving R.H.S. of the above equation, we get :
⇒ 100 x 7 + 10 x 5 + 1 x 9
⇒ 700 + 50 + 9
⇒ 759
Since, L.H.S. = R.H.S.
So, assertion (A) is true.
In a three-digit number 100p + 10q + 1r,
q and r can be 0 but p cannot be equal to 0 for 3-digit number.
So, reason (R) is false.
Hence, option 3 is the correct option.
Answered By
2 Likes
Related Questions
The number 3z4 is divisible by 9, if the digit z is equal to :
7
2
9
none of these
Statement 1: When the sum of a two - digit number and the number obtained by reversing its digit is divided by 11, the quotient is equal to the sum of two digits.
Statement 2: When the sum of a two digit number and the number obtained by reversing its digit is divided by the sum of the two digit, the quotient is always 11.
Which of the following options is correct ?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A) : If 36p52q9 is divisible by 9, then p + q = 2.
Reason (R) : A number is divisible by 3 if the sum of its digits is divisible by 3.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Assertion (A) : Factors of the sum of a three-digit number 542 and the numbers obtained by changing the order of the digits cyclically are 1, 11, 111, 5 + 4 + 2.
Reason (R) : The sum of a three-digit number and the two number obtained by changing the digit cyclically is completely divisible by (i)11, (ii) 111 and (iii) sum of the digit.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.