Solution:

17

Explanation :
The relationship holds for below formula :
pow(x,3) - pow(x,2) - 1
=> 9*9*9 - 9*9 - 1
=> 729 - 81 - 1
=> 647

Similarly,
17*17*17 - 17*17 - 1
=> 4913 - 289 - 1
=> 4623

Solution:

15/4 hours

Explanation:
Let us say they drive for "t" hours and initial fuel is "f"
Amount of fuel consumed by Fernando car is ft/4
Amount of fuel consumed by Sebastian car is ft/5

As per given condition,
f - ft/5 = 4(f-ft/4)
t = 15/4 hours

Solution:

522

Explanation:
1st Number = Number of alphabtes
2nd Number = Number of vowels
3rd Nummber = Number Of Circles

Lavesh = 6 alphabets + 2 vowels(a,e) + 2 circles(in 'a' and in 'e') = 622
Anmol = 5 alphabets + 2 vowels(a,0) + 2 circles(in 'a' and in 'e') = 522
Shruti = 6 alphabets + 2 vowels(u,i) + 0 circles = 620
Aakriti = 7 alphabets + 4 vowels(a,a,i,i) + 2 circles(in 'A' and in 'a') = 742
Hence,
Sonal = 5 alphabets + 2 vowels(a,o) + 2 circles(in 'a' and in 'o') = 522

Solution:

89

Solution:

168
12 14
6 2 7
3 2 1 7

Explanation:
If we multiply two numbers below, we will get the number above it.
like. 3*2 of the last row =>6 of the third row.

Solution:

Since Dean is at the 15th position from both ends, it means that there are 14 people before him and 14 people after him.

14 + 14 = 28
Counting him as well in the row, the total no. of people = 28 + 1 = 29.

Solution:

In the first deal, Sam made a profit of $250.
In the second deal, Sam made a profit of $250 again.

Therefore, he earned a total profit of $500.

Solution:

The remaining time is 15 minutes.

Since, 1/5 part of the time you have spent is left, the total time is 6 parts.

The total time is 90 minutes. 1/6 of 90 = 15.

Therefore, 15 minutes are remaining.

Solution:

There can be three cases for this question.
1) X and Y are present in the same row.
In this case, Y will be the tallest in the row => Y is taller than X.

2) X and Y are present in the same column.
In this case, X will be the shortest of the column => Y is taller than X.

3) X and Y are present in different rows and different columns. Suppose that the child standing in X’s column and Y's row is Z. Then:
Y is taller than Z and Z is taller than X => Y is taller than X.

Therefore, in any of the above cases, Y is taller than X.

Solution:

In the given statement, the letters represent their equivalent position in the alphabets.
A + A = 1 + 1 = 2 = B
B + B = 2 + 2 = 4 = D
A + D = 1 + 4 = 5 = E

Hence,
B + D + E = 2 + 4 + 5 = 11 = K