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# what is the two-digit number? i. the difference between the two digits is 9. ii. the sum of the digits is equal to the difference between the two digits.

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### Mohammed

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## Problems on Numbers Data Sufficiency 1

Aptitude questions and answers section on "Problems on Numbers Data Sufficiency 1" for placement interviews and competitive exams: Fully solved Aptitude problems with detailed answer descriptions and explanations are given for the "Problems on Numbers Data Sufficiency 1" section.

## Aptitude :: Problems on Numbers

Exercise : Problems on Numbers - Data Sufficiency 1

Problems on Numbers - Formulas

Problems on Numbers - General Questions

Problems on Numbers - Data Sufficiency 1

Problems on Numbers - Data Sufficiency 2

Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.

Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.

Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

1. What is the number? I.

The sum of the two digits is 8. The ratio of the two digits is 1 : 3.

II.

The product of the two digit of a number is 12. The quotient of two digits is 3.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

2.

What is the two-digit number?

I.

The difference between the two digits is 9.

II.

The sum of the digits is equal to the difference between the two digits.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

3.

What is the two-digit number whose first digit is and the second digit is ?. The number is greater than 9.

I.

The number is multiple of 51.

II.

The sum of the digits and is 6.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

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## [Solution] What is the two digit number ? I. The difference between the two digits is 9. II. The sum of the digits is equal to the difference between the two digits.

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and--What is the two digit number ? I. The difference between the two digits is 9. II. The sum of the digits is equal to the difference between the two digits.I : The difference between two digits is 9 only if the digits are 0 and 9. No. using these digits = 90 and 09. Since, 90 is the only two digit no. Ans - 90 **Thus, I alone is sufficient.** * * * II : Let one's digit be y and ten's digit be x. => Number = 10x + y x + y = x - y => y = 0 & x can be any digit. Thus, number can be 10,20,30,40... **Thus, II alone is not sufficient.**

### SBI PO 2003 Question 109

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and--

Question 109

What is the two digit number ?

I. The difference between the two digits is 9.

II. The sum of the digits is equal to the difference between the two digits.

Solution

I : The difference between two digits is 9 only if the digits are 0 and 9.

No. using these digits = 90 and 09.

Since, 90 is the only two digit no. Ans - 90

Thus, I alone is sufficient.

II : Let one's digit be y and ten's digit be x. => Number = 10x + y

x + y = x - y

=> y = 0 & x can be any digit.

Thus, number can be 10,20,30,40...

Thus, II alone is not sufficient.

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## What is the two digit number ? (i) The difference between the two digits is 9. (ii) The sum of the digits is equal to the difference between the two digits.

What is the two digit number ? (i) The difference between the two digits is 9. (ii) The sum of the digits is equal to the difference between the two digit What is the two digit number ?

(i) The difference between the two digits is 9.

(ii) The sum of the digits is equal to the difference between the two digits.

MAHENDRA-DATA SUFFICIENCY -EXERCISE

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Updated On: 27-06-2022

The correct Answer is Thus both (i) and (ii) are needed to get the answer.

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

Related Videos BOOK - MAHENDRA

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CHAPTER - INEQUALITY

EXERCISE - Exercise (INEQUALITY)

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The difference between a two digit number and the number formed by reversing the digits is 27 if the sum of the digits is 7 then what is the original number

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The difference between a two-digit number and the number obtained by interchanging the position of its digits is 36. What is the difference between the two digits of that number?

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The sum of a two-digit number and the number obtained by interchanging the digits is 110. The difference between the digits is 4. What is the number?

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Mohammed 11 day ago

Guys, does anyone know the answer?