Find the largest number which gives out remainders 2 and 5 respectively when used to divide 80 and 122 .

A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

• [A] 3
• [B] 5
• [C] 9
• [D] 11

There are a number of chocolates in a bag. If they were to be equally divided among 14 children, there are 10 chocolates left. If they were to be equally divided among 15 children, there are 8 chocolates left. Obviously, this can be satisfied if any multiple of 210 chocolates are added to the bag. What is the remainder when the minimum feasible number of chocolates in the bag is divided by 9?

• [A] 2
• [B] 5
• [C] 4
• [D] 6
• [E] None of these

In a particular city there are 100 homes numbered from 1, 2, 3………..100. The city was built by a builder from Chennai. There were 45 shops in the town which were built by a builder from Mumbai. The 2^nd builder can build them in ½ times as compared to the 1^st builder. If the 2^nd builder builds in 15 days, then how many 2’s are used by the builder from Chennai in numbering the 100 homes?

• [A] 17
• [B] 18
• [C] 19
• [D] 20
• [E] None of these

In T nagar many buildings were under residential category. For residential buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. How many times will 6 appear in any building numbering?

• [A] 10
• [B] 20
• [C] 8
• [D] 19
• [E] 22

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

• [A] 69
• [B] 78
• [C] 96
• [D] Cannot be determined
• [E] None of these