Five boys — A, B, C, D and E — went on a shopping trip. Before shopping, one boy had Rs. 400, one had Rs. 300, two boys had Rs. 200 each and one had Rs. 100. While shopping they did not lend or borrow from each other. After the shopping was over, it was observed that they were left with Rs. 165, Rs. 95, Rs. 70, Rs. 40 and Rs. 10, not necessarily in this order. Further, the following is known about the money they started with, they spent, or they were left with.
I. A started with more money than D.
II. B spent Rs. 15 more than C.
III. E started with more money than just one another person of the group.
IV. A spent the most but did not end with the least.
V. C started with 66.66% of the money that B started with.
VI. D spent the least and ended with more than A and C.
VII. E spent Rs. 35.

Who ended with the maximum amount of money?
a. A
b. B
c. C
d. E

How much money did A spend?
a. Rs. 205
b. Rs. 190
c. Rs. 35
d. Rs. 360

In ascending order of spending, E would rank at which position?
a. 1
b. 2
c. 4
d. 5

Who ended with Rs. 40?
a. A
b. B
c. C
d. D

In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in 45 games both the players were girls and in 190 games both were boys. The number of games in which one player was a boy and the other was a girl is
(a) 200

(b) 216

(c) 235

(d) 256

There are three cities: A, B and C. Each of these cities is connected with the other two cities by at least one direct road. If a traveller wants to go from one city (origin) to another city (destination), she can do so either by traversing a road connecting the two cities directly, or by traversing two roads, the first connecting the origin to the third city and the second connecting the third city to the destination. In all there are 33 routes from A to B (including those via C). Similarly, there are 23 routes from B to C (including those via A). How many roads are there from A to C directly?
a. 6
b. 3
c. 5
d. 10

A shipping clerk has five boxes of different but unknown weights each weighing less than 100 kg. The clerk weights the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg. What is the weight of the heaviest box?
a. 60 kg
b. 62 kg
c. 64 kg
d. Cannot be determined
e. None of these

Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists of eight teams, with each team playing every other team in its group exactly once. At the end of the first
stage, the top four teams from each group advance to the second stage while the rest are eliminated. The second stage comprises of several rounds. A round involves one match for each team. The winner of a match in a round advances to the next round, while the loser is eliminated. The team that remains undefeated in the second stage is declared the winner and claims the Gold Cup.
The tournament rules are such that each match results in a winner and a loser with no possibility of a tie. In the first stage, a team earns one point for each win and no points for a loss. At the end of the first stage, teams in each group are ranked on the basis of total points to determine the qualifiers advancing to the next stage. Ties are resolved by a series of complex tie-breaking rules so that exactly four teams from each group advance to the next stage.

What is the total number of matches played in the tournament?
a. 28
b. 55
c. 63
d. 35

The minimum number of wins needed for a team in the first stage to guarantee its advancement to the next stage is
a. 5
b. 6
c. 7
d. 4

What is the highest number of wins for a team in the first stage in spite of which it would be eliminated at the end of first stage?
a. 1
b. 2
c. 3
d. 4

What is the number of rounds in the second stage of the tournament?
a. 1
b. 2
c. 3
d. 4

Which of the following statements is true?
a. The winner will have more wins than any other team in the tournament.
b. At the end of the first stage, no team eliminated from the tournament will have more wins than any
of the teams qualifying for the second stage.
c. It is possible that the winner will have the same number of wins in the entire tournament as a
team eliminated at the end of the first stage.
d. The number of teams with exactly one win in the second stage of the tournament is 4.

In my coaching institute there are a total 170 students and they use different vehicles for transportation viz. Bike, Car and Taxi.
The ratio of students using all 3 vehicles to students using at least 2 vehicles is 2 : 9. The ratio of students using only one vehicle to students using at least 2 vehicles is 8 : 9.
Number of students using car only exceeds number of students using bike only by 14.
Number of students using taxi only exceeds number of students using bike only by 12.
Number of students using taxi, bike, car is 90, 93, 97 respectively.

Find: The number of students using all three vehicles; the number of students using no more than one vehicle; the number of students using exactly two vehicles and the number of students who are using both bike and car but not taxi.

A girl leaves home with x flowers, goes to the bank of a nearby river. On the bank of the river, there are four places of worship, standing in a row. She dips all the x flowers into the river. The number of flowers doubles. Then she enters the first place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the second place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the third place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the fourth place of worship, offers y flowers to the deity. Now she is left with no flowers in hand.

If the girl leaves home with 30 flowers, the number of flowers she offers to each deity is
a. 30
b. 31
c. 32
d. 33

The minimum number of flowers that could be offered to each deity is
a. 0
b. 15
c. 16
d. Cannot be determined

The minimum number of flowers with which the girl leaves home is
a. 16
b. 15
c. 0
d. Cannot be determined