Answer: B From a certain station, there will be a ticket for each of the other 9 stations and there are 10 stations on the railway line. The number of different journey tickets = 10*9 = 90.
Q. No. 26:
A person buys 18 local tickets for Rs 110. Each first class ticket costs Rs 10 and each second class ticket costs Rs 3. What will another lot of 18 tickets in which the numbers of first class and second class tickets are interchanged cost ?
Answer: D Let there are x first class ticket Total cost = 10x + 3(18-x) => 10x + 54 -3x = 110 => 7x = 56 => x= 8. If the first class and second class tickets are interchanged, Then total cost = 10*10 + 3*8 = 124.
Q. No. 27:
In a factory, each day the expected number of accidents is related to the number of overtime hour by linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged ?
Answer: B Number of accidents x = a+by Where y is the number of overtime hour. 8 = a+ 1000b ............(i) 5 = a+400b.............(ii) On solving both the equations, we get a = 3, b = 1/200 For, y=0, a=x=3.
Q. No. 28:
A man purchased 40 fruits; apples and oranges for Rs 17. Had he purchased as many as oranges as apples and as many apples as oranges, he would have paid Rs 15. Find the cost of one pair of an apple and an orange.
Answer: C Man buys x apples at m price and y oranges at n price, then x+y = 40...........(i) mx+ny = 17............(ii) On solving both the equations we get, (m+n)(x+y) = 17+15 m+n = 32/40 = Rs 0.80 = 80 paise.
Q. No. 29:
Mahesh visited his cousin Akash during the summer vacation. In the mornings, they both would go for swimming. In the evenings, they would play tennis. They would engage in at most one activity per day, i.e either they went swimming or played tennis each day. There were days when they took rest and stayed home all day long. There were 32 mornings when they did nothing, 18 evenings when they stayed at home, and a total of 28 days when they swam or played tennis. What duration of the summer vecation did Mahesh stay with Akash ?
Answer: C Let the duration of Mahesh's vacation be n days. Given that on each day, he had engaged in exactly one of swimming and tennis, also given that he was free on 32 mornings and on 18 evenings and on total 28 days he either went for swimming or tennis. He was busy on (n-32) mornings and (n-18) evenings And, (n-32)+(n-18) = 28 => x= 39.
Q. No. 30:
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 50, what is the least possible positive difference between n and m ?