Question:
A two-digit number is such that the product of the digits is 14.When 45 is added to the number, then the digits interchange their places.Find the number.
A two-digit number is such that the product of the digits is 14.When 45 is added to the number, then the digits interchange their places.Find the number.
Updated On: Oct 4, 2024
- 72
- 27
- 37
- 14
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The Factors of 14 = 1,2,7,14
So, the only two digit numbers possible where reversed change the position are 27 and 72
Now, if we add 45 in the number 27 the added number become 72 which is reverse of 27
27 + 45 = 72
2 × 7 = 14
So, the two digit number is 27
The correct option is (B): 27
Was this answer helpful?
0
0
Top Questions on Number Systems
- Which interchange in sign and number would make the equation correct? \[ (96 + 128) + 64 = 2 \]
- Karnataka PGCET - 2025
- Quantitative Aptitude
- Number Systems
- In this multiplication question, the five letters represent five different digits. What are the actual figures? There is no zero. \[ S E A M \times T = M E A T S \]
- Karnataka PGCET - 2025
- Quantitative Aptitude
- Number Systems
- Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
(i) $pqr + 1$ is a composite number
(ii) $pqr + 1$ is a prime number- CBSE Class X - 2025
- Mathematics
- Number Systems
Directions: In Question Numbers 19 and 20, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option from the following:
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.Assertion (A): For any two prime numbers $p$ and $q$, their HCF is 1 and LCM is $p + q$.
Reason (R): For any two natural numbers, HCF × LCM = product of numbers.- CBSE Class X - 2025
- Mathematics
- Number Systems
- For all $n \in \mathbb{N}$, if $n(n^2+3)$ is divisible by $k$, then the maximum value of $k$ is
- AP EAPCET - 2025
- Mathematics
- Number Systems
View More Questions
Questions Asked in MAT exam
- An international NGO for homeless people has supplied certain items for ongoing winters to new shelters for homeless people. These consist of different items like blankets, jackets, shoes, socks, and room heaters. The total number of five items distributed in December 2024 was 3300.
- 24% of all items were blankets.
- $\frac{1}{6}$ of all items were jackets.
- 14% of all items were shoes.
- Remaining items were either socks or room heaters.
- The number of room heaters distributed was 100 more than the number of socks distributed.
Find the ratio between the number of room heaters and the number of shoes?- MAT - 2025
- Data Analysis
- An international NGO for homeless people has supplied certain items for ongoing winters to new shelters for homeless people. These consist of different items like blankets, jackets, shoes, socks, and room heaters. The total number of five items distributed in December 2024 was 3300.
- 24% of all items were blankets.
- $\frac{1}{6}$ of all items were jackets.
- 14% of all items were shoes.
- Remaining items were either socks or room heaters.
- The number of room heaters distributed was 100 more than the number of socks distributed.
The number of socks distributed is approximately what percent of the total number of shoes and room heaters put together?- MAT - 2025
- Data Analysis
- An international NGO for homeless people has supplied certain items for ongoing winters to new shelters for homeless people. These consist of different items like blankets, jackets, shoes, socks, and room heaters. The total number of five items distributed in December 2024 was 3300.
- 24% of all items were blankets.
- $\frac{1}{6}$ of all items were jackets.
- 14% of all items were shoes.
- Remaining items were either socks or room heaters.
- The number of room heaters distributed was 100 more than the number of socks distributed.
What is the total number of jackets, shoes, and room heaters distributed?- MAT - 2025
- Data Analysis
- An international NGO for homeless people has supplied certain items for ongoing winters to new shelters for homeless people. These consist of different items like blankets, jackets, shoes, socks, and room heaters. The total number of five items distributed in December 2024 was 3300.
- 24% of all items were blankets.
- $\frac{1}{6}$ of all items were jackets.
- 14% of all items were shoes.
- Remaining items were either socks or room heaters.
- The number of room heaters distributed was 100 more than the number of socks distributed.
What is the difference between the total number of socks and blankets distributed and the number of shoes distributed?- MAT - 2025
- Data Analysis
- The Chatterjee family has 8 members: A, B, C, D, E, F, G, H. There are 3 generations in the family. They go to 4 different countries: France, Canada, UK, and USA. They make 4 groups of 2 members each, and each group goes to one country. The family consists of 3 married couples, and each couple forms a group. The following conditions are given:
1. The family consists of 3 married couples and each couple forms a group.
2. The oldest member of the family goes to Canada.
3. H, a female, is married to E, who does not go to UK.
4. B and Dform a group and agreed to go to USA.
5. E’s mother-in-law is the mother of C, who is the father of B and brother of H.
6. A is the grandfather of one of the male members, who goes to USA.
7. D is unmarried and the niece of C.
8. F is the oldest member of the family.
Howis Drelated to E?- MAT - 2025
- Family Tree Problems
View More Questions