Problem Solving MCQ Set 20

Question: A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge?

1. Rs. 105 and Rs. 6
2. Rs. 216 and Rs. 12
3. Rs. 210 and Rs. 12
4. Rs. 210 and Rs. 6

Question: Find the range of real values of x satisfying the inequalities 3x - 2 > 7 and 4x - 13 > 15.

1. x > 3
2. x > 7
3. x < 7
4. x < 3

Question: How many different factors are there for the number 48, excluding 1 and 48?

1. 12
2. 4
3. 8
4. None of these

Question: What is the remainder when 9 + 9² + 9³ + .... + 9⁸ is divided by 6?

1. 3
2. 2
3. 0
4. 5

Question: The sum of the first 100 numbers, 1 to 100 is divisible by

1. 2, 4 and 8
2. 2 and 4
3. 2 only
4. None of these

Question: The sum of the first 100 numbers, 1 to 100 is divisible by

1. 2, 4 and 8
2. 2 and 4
3. 2 only
4. None of these