Tic Tech Toe Round-1

Explanation
The pattern in the given sequence is that the first number is multiplied by 17 and the second number is multiplied by 9 to get the next number. In the sequence 17:289::27:?, 17 is multiplied by 17 to get 289. Following the same pattern, 27 should be multiplied by 9 to get the missing number. Therefore, the missing number is 729.

Explanation
In this analogy, the numbers on the left side are divided by 5 and then subtracted by 4 to obtain the numbers on the right side. Applying the same pattern, 345 divided by 5 is 69 and subtracting 4 from it gives the answer of 65.

Explanation
Govind was second because the question states that Ram was ahead of Govind, and Krishna was between Govind and Hari. Since Govind is the only option that fits this criteria, he must be the second boy climbing up the hill.

Explanation
Based on the given information, A is taller than B, C, D, and E. B is taller than C, D, and E. C is taller than D and E. Therefore, the tallest person could be A, and the shortest person could be either D or E.

Explanation
The given answer, RDFLDMS, is obtained by shifting each letter in the word "PARTNER" three positions to the right in the English alphabet. Applying the same logic to the word "SEGMENT" would result in the letters "TFHNFOU".

Explanation
The pattern in the given analogy is that the word is spelled backwards. In the first pair, "SPHERE" is spelled backwards as "EREHPS". Following the same pattern, "EXHIBITION" should be spelled backwards as "NOITIBIHXE", which is the correct answer.

Explanation
The given code language is a substitution code where each digit represents a word. From the given information, we can conclude that the code for the word "good" is either 2 or 3, as both "Boy is good" and "Tom is good" have the code 2 or 3 for the word "good".

Explanation
The lady in the photograph is the aunt of the man. This is because the man states that she is the only daughter of the father of his father, which means that she is his father's sister. Therefore, she is his aunt.

Explanation
E is A's father and B is A's brother. B is the father of C, who is a child. Therefore, E is the grandfather of C.

Explanation
A is cousin of D because A's brother's sister's father is A's own father, and K is A's father's brother. Therefore, K is A's uncle. Since K's daughter is D, D is A's cousin.

Explanation
In the given expression, "p" means multiplication, "xy" means subtraction, "–x" means addition, and "+z" means division. So, we can rewrite the expression as (10 * 4) - (4 + 4) * 6. Simplifying further, we get (40 - 8) * 6 = 32 * 6 = 192. Therefore, the correct answer is 192.

Explanation
Nithin first travels 8 m towards the north, then turns left and travels 6 m, which means he is now facing west. He then travels 5 m towards the south, which means he is now 3 m south of his starting position. Finally, he travels 6 m towards the west. We can visualize this as a right-angled triangle, with the 8 m and 3 m sides representing the distances traveled towards the north and south respectively, and the hypotenuse representing the shortest distance between his house and office. Using the Pythagorean theorem, we can calculate the length of the hypotenuse as approximately 8.5 m. Therefore, the approximate shortest distance between his house and office is 12.5 m.

Explanation
The man initially travels 7 km towards North-east. Then, he turns 90 degrees clockwise, which means he is now facing East. He travels 24 km in that direction. Therefore, he is now 25 km away from the starting point in the East direction.

Explanation
The pattern in the given sequence is that each term is obtained by dividing the previous term by 3. Starting with 512, we divide it by 3 to get 256/3. Then, we divide 256/3 by 3 to get 128/9, and so on. Continuing this pattern, we divide 32/81 by 3 to get 16/243. Therefore, the missing term in the sequence is 16/243.

Explanation
The pattern in the given sequence is as follows:
- The first number is multiplied by 0.5 to get the second number (16 * 0.5 = 8).
- The second number is repeated twice (8, 8).
- The third number is obtained by adding the two previous numbers (8 + 8 = 16).
- The fourth number is obtained by multiplying the third number by 1.5 (16 * 1.5 = 24).
- The fifth number is obtained by multiplying the fourth number by 2.5 (24 * 2.5 = 60).
- The sixth number is obtained by multiplying the fifth number by 3 (60 * 3 = 180).
- The seventh number is obtained by multiplying the sixth number by 3.5 (180 * 3.5 = 630).
Therefore, the missing number in the sequence is 630.

Explanation
In the given sequence, the digits that are immediately preceded and followed by odd digits are 2, 9, 4, and 5. These digits meet the criteria of being surrounded by odd digits, and hence there are 4 such digits in the sequence.

Explanation
To find the number second to the left of the digit which is 4th from the right, we need to rearrange the given number according to the given conditions. After rearranging the number, we get 84621593. The digit which is 4th from the right is 1. The number second to the left of 1 is 5. Therefore, the correct answer is 5.