Problem Solving MCQ Set 22

Question: Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n?

1. 144
2. 168
3. 192
4. None of these

Question: Find the greatest number of five digits, which is exactly divisible by 7, 10, 15, 21 and 28.

1. 99840
2. 99900
3. 99960
4. 99990

Question: When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?

1. 11
2. 17
3. 13
4. 23

Question: A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?

1. 13
2. 59
3. 35
4. 37

Question: Given A = 265 and B = (264+263+262+...+20)

1. B is 264 larger than A
2. A and B are equal
3. B is larger than A by 1
4. A is larger than B by 1

Question: The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

1. 44
2. 22
3. 19
4. None of these