Question : The train ticket fare from places A to B in 2^nd class AC and 3^rd class AC is Rs. 2,500 and Rs. 2,000, respectively. If the fares of 2^nd class AC and 3^rd class AC are increased by 20% and 10%, respectively, then find the ratio of the new fares of 2^nd class AC and 3^rd class AC.

Option 1: 15 : 11

Option 2: 12 : 11

Option 3: 13 : 11

Option 4: 15 : 13

Question : Which of the following numbers will completely divide 4¹² + 4¹³ + 4¹⁴ + 4¹⁵?

Option 1: 3

Option 2: 7

Option 3: 11

Option 4: 17

Question : The 3^rd and 8^th terms of an Arithmetic progression are –14 and 1, respectively. What is the 11^th term?

Option 1: 14

Option 2: 16

Option 3: 20

Option 4: 10

Question : If 7 times the 7^th term of an arithmetic progression (A.P.) is equal to 11 times its 11^th term, then the 18^th term of the A.P. will be:

Option 1: 1

Option 2: 0

Option 3: 2

Option 4: –1

Question : The average weight of the first 11 people among 12 people is 95 kg. The weight of the 12th person is 33 kg more than the average weight of all 12 people. The weight of the 12^th person is:

Option 1: 128.75 kg

Option 2: 128 kg

Option 3: 131 kg

Option 4: 97.45 kg