Aptitude - Problems on Numbers - Discussion
Discussion Forum : Problems on Numbers - Data Sufficiency 2 (Q.No. 2)
Directions to Solve
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
2.
What is the two-digit number? | |
I. | Sum of the digits is 7. |
II. | Difference between the number and the number obtained by interchanging the digits is 9. |
III. | Digit in the ten's place is bigger than the digit in the unit's place by 1. |
Answer: Option
Explanation:
Let the tens and units digit be x and y respectively.
I. x + y = 7.
II. (10x + y) - (10y + x) = 9 
x - y = 1.
III. x - y = 1.
Thus, I and II as well as I and III give the answer.
Correct answer is (E).
Discussion:
26 comments Page 1 of 3.
Shekhar said:
1 decade ago
correct answer is C) coz I gives x+y = 7. II gives mod i.e. |(10x+y)-(x+10y)| = 9 implying |x-y| = 1 or (x-y) = + or - 1
so number can only be either 34 or 43. So I and II together
can't give answer..
But III gives
Digit in the ten's place is bigger than the digit in the unit's place by 1. so fixing the no. as 43 using I and III.
so number can only be either 34 or 43. So I and II together
can't give answer..
But III gives
Digit in the ten's place is bigger than the digit in the unit's place by 1. so fixing the no. as 43 using I and III.
Kushagra Jhamar said:
1 decade ago
I think correct answer is D.
As Shekar told answer is C that is can be answered using I and III, but we came to the conclusion (x-y)=1 by using II statement, we have to utilize all the three statenet in order to reach a single solution.
And from I and II we can't give answer because it can be 34 or 43 either.
As Shekar told answer is C that is can be answered using I and III, but we came to the conclusion (x-y)=1 by using II statement, we have to utilize all the three statenet in order to reach a single solution.
And from I and II we can't give answer because it can be 34 or 43 either.
Shayantan Kabiraj said:
11 months ago
D is the correct answer.
Because with only I and II, both 34 and 43 are possible answers.
With only I and III, 43, 52, 61 and 70, all are correct.
Only with I, II and III do we get a single answer, and that is 43.
Because with only I and II, both 34 and 43 are possible answers.
With only I and III, 43, 52, 61 and 70, all are correct.
Only with I, II and III do we get a single answer, and that is 43.
Rahul Khot said:
1 decade ago
By option A we can say answer is 34 or 43, but we can't say perfectly which is the answer.
But by option C we can definitely say, answer is 43. So answer could be option C.
But by option C we can definitely say, answer is 43. So answer could be option C.
(1)
Swapnil said:
1 decade ago
The answer is D.
The first condition gives 6 numbers.
16, 25, 34, 43, 52, 61.
From 2nd statement we get 43 and 34.
From the 3rd statement we get 43.
The first condition gives 6 numbers.
16, 25, 34, 43, 52, 61.
From 2nd statement we get 43 and 34.
From the 3rd statement we get 43.
Mithra said:
4 months ago
Let the digits be xy.
x + y = 7,
x + x + 1 = 7
x = 3
y = 4
On interchanging 43-34 = 9.
Then option 1 and 3 are helpful,
Thus option C.
x + y = 7,
x + x + 1 = 7
x = 3
y = 4
On interchanging 43-34 = 9.
Then option 1 and 3 are helpful,
Thus option C.
Ankit kaswa said:
1 decade ago
Correct answer will be C (I & III only) because II give information about difference, so using I & II we can gate 43 or 34.
Suraj Nambiar said:
1 decade ago
The Answer E is correct. This is because the answer can be obtained by A as well as B and not A (or B) alone as the option states.
Chetna said:
3 years ago
D should be the correct answer. I mean 43 is the only possibility such that the sun is 7 and the difference is 1.
So,it's D.
So,it's D.
(3)
Laxmi said:
1 month ago
But by statement 2 we can't decide which is larger right (xy or yx).
So, I think the answer should be I and III only.
So, I think the answer should be I and III only.
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