Question:
If the digit in the unit’s place of a two-digit number is halved and the digit in the ten’s place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?
If the digit in the unit’s place of a two-digit number is halved and the digit in the ten’s place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?
Updated On: Sep 25, 2025
- Digits in the unit’s place and the ten’s place are equal
- Digit in the unit’s place is twice the digit in the ten’s place
- Sum of the digits is a two-digit number
- Digit in the unit’s place is half of the digit in the ten’s place
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Let's assume the two-digit number be \(10a + b\),
Here, \(a\) = the digit in the tens place
\(b\) is the digit in the units place.
From Condition 1:
b is halved = \(\frac{b}{2}\)
tens place a is doubled = \(2a\)
Number Formed = \(10 × 2a + \frac{b}{2} = 20a + \frac{b}{2}\)
From Condition 2 number changed
New number = \(10b + a\)
From the question, the number obtained by halving and doubling the digits is equal to the number obtained by interchanging the digits
= \(20a + \frac{b}{2} = 10b + a\)
= \(40a + b = 20b + 2a\)
After simplifying we get,
\(40a - a = 20b - b\)
\(38a = 19b\)
\(2a = b\)
The correct option is (B): Digit in the unit’s place is twice the digit in the ten’s place
Was this answer helpful?
0
0
Top Questions on Puzzle
- If \( 9 + 1 = 81 \), \( 5 + 2 = 49 \), then \( 7 + 3 = \) ?
- Three thieves M, B and V each make one statement; only one statement is true.
M: I am innocent. B: I am innocent. V: B is involved.
Who was involved in the robbery? - There are four Trees - Lemon, Coconut, Mango and Neem each at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. Lemon and Coconut trees are on either side of the gate, which is located at the centre of side, opposite to the side, extremes of which the well and cabin are located. The mango tree is not at the corner where the cabin is located.
Which of the following pairs can be diagonally opposite to each other in the plot? - In the following letter series, some of the letters are missing, which are given in that order as one of the alternatives below it. Choose the correct alternative.
abc ddaccdbee __ ab - Five friends– Alex, Blake, Casey, Drew, and Erin – are sitting in a row facing north. Each of them likes a different color: Red, Blue, Green, Yellow, and Orange. They also have different favorite fruits: Apple, Banana, Cherry, Mango, and Pineapple. The following information is known :
1. Casey sits at one of the ends of the row.
2. Blake is sitting third to the left of Casey and does not like Red or Yellow.
3. The person who likes Mango is sitting at one of the ends.
4. Drew likes Blue and sits next to Erin, who likes Red.
5. The person who likes Green is sitting in the middle.
6. Alex is at one of the ends and does not like Yellow.
7. The person who likes Pineapple is sitting at the extreme right.
8. Mango is not liked by Alex or Erin.
Based on the given information, answer the following:
Which of the following statements is true ?
View More Questions
Questions Asked in NMAT exam
- How many pairs of letters are there in the word ‘CHILDREN’ such that each pair has as many letters between them in the word ‘CHILDREN’ as they have in the English alphabet series?
- NMAT - 2022
- Coding Decoding
- Directions: In the question two statements are given which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.
Statements: All pens are instruments. Some green things are instruments.
Conclusions:
(1) All pens are green.
(2) All green things are pens.
(3) Some instruments are green.
(4) All instruments are pens.- NMAT - 2022
- Syllogisms
- Automation, however essential it may be to maximise a country's economic production and minimise its costs, should be rejected. The health care industry wants to increase revenues while reducing costs. Hence, it proposes greater automation of health care. This radical automation of health care would cause patients to lose trust in the system as the health care they would receive would lack the personal touch that, according to several studies, patients desire.
Which of the following expresses the main point of the argument?- NMAT - 2022
- Statements and Arguments
- Directions: In the question there is a statement followed by two conclusions, numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows from the information given in the statement.
Statements: Government has spoiled many top ranking financial institutions by appointing bureaucrats as directors of these institutions.
Conclusions:
I. Government should appoint directors of the financial institutions taking into consideration the expertise of the person in the area of finance.
II. The director of the financial institution should have expertise commensurate with the financial work carried out by the institution.- NMAT - 2022
- Statements and Conclusions
- Directions: The question presents a situation and asks you to make a judgment regarding that particular circumstance. Answer the question solely on the basis of the information given.
Illegal adulterated and local alcohol that is largely in supply in the city has become a matter of concern for the citizens and administration. A meeting was called up, which involved local people as well, to discuss the situation. The local people claimed that the administration is not doing enough to deal with the situation. You are representing the administration in the meeting. What should be your reaction to these claims?- NMAT - 2022
- Course of Action
View More Questions