Engineering Analyst

Ten individuals, A to J, booked train tickets for their journey from Chennai to Mumbai on either March 4, March 14, or March 21. They booked the train tickets from Chennai at different times: 4 AM, 6 AM, 7 AM, 8 AM, 10 AM, 12 PM, 3 PM, 6 PM, 10 PM, and 11 PM.

Note: No two people booked the train tickets at the same time. An equal number of people booked tickets on an even-numbered date.

1. C is not the last person to book the train ticket.
2. No one booked the ticket before J.
3. H booked 8 hours after J, and no one booked a ticket between them.
4. C and E booked tickets on the same day, and no other bookings were made on that day.
5. I booked the ticket on the same day as D, and F booked the ticket immediately before A.
6. There is a one-hour time gap between B, who booked the ticket on a day that is not a multiple of 7, and G, who booked the ticket at an odd time.
7. The number of people who booked tickets before B is the same as the number who booked after I. I was the last person to book the train on the day he booked the ticket.
8. A booked the ticket immediately before D, who booked the ticket 6 hours before I.
9. The timing difference between the tickets booked by E and J is 1 hour (not necessarily on the same day).

Question:
How many people booked the train tickets on March 21?

Options:
a) 4
b) 3
c) 6
d) 2

If RAZOR is coded as 1860 and CLEAR is coded as 336, then BECAUSE will be coded as:

a. 56
b. 254
c. 227
d. 28

In a certain code, ACT is coded as 3 and SAM is coded as 3, then BEAN will be coded as:

a. 2
b. 3
c. 5
d. 1

The following question describes the effect of various alphabets representing certain mathematical operators. Select the number that can replace the question mark (?) from the given alternatives.

1. 54 G 8 Z 72 Q 22 = 28
2. 210 Z 14 Q 7 G 10 = 85
3. 34 Q 6 Z ? G 132 = 100

Options:
a) 7
b) 10
c) 12
d) 20

Two bags, A and B, consist of black and white balls only. The probability of drawing a black ball from bag A and the probability of drawing a white ball from bag B are both 0.25.

All the balls from both bags are emptied into bag C (which was initially empty). The probability of drawing a black ball from bag C is 715\frac{7}{15}157​.

Which of the following cannot be the total number of balls in bag C?

a) 120
b) 240
c) 300
d) 360

You are given a list of 'N' non-negative transaction IDs. Your task is to perform two operations: a verification check and an audit sum.

Verification: Check if for every pair of adjacent transaction IDs in the list, they share at least one common digit.

Audit: Calculate the sum of all transaction IDs in the list.

The verification is successful only if the common digit condition is true for all adjacent pairs.

There are 'N' kingdoms, numbered from 0 to N-1, connected by 'E' bidirectional roads. A war has broken out, and 'P' of these kingdoms have become hostile invaders.

To protect themselves, the remaining defending kingdoms destroy all roads connected to any of the 'P' invading kingdoms. This action may isolate groups of defending kingdoms from each other.

Your task is to determine the resulting groups of connected, defending kingdoms after the war. A group is a set of kingdoms where every kingdom in the group can reach every other kingdom in the same group through a path of roads that only passes through other defending kingdoms.

There are 'N' male and 'N' female penguins at a dance party. Each penguin has a specific height and a preference for a partner who is either strictly taller or strictly shorter.

The input represents this preference:

1) A positive height h means the penguin wants a partner with a height greater than h.

2) A negative height -h means the penguin wants a partner with a height less than h. The penguin's actual height is h.

Your task is to find the maximum number of male-female pairs that can be formed, where every penguin's height preference is satisfied. Each penguin can be in at most one pair.