What is the maximum number of pieces of birthday cake of size 5” by 5” that can be cut from a cake 15” by 15”?
Options:
(A) 5
(B) 10
(C) 16
(D) 20
(E) 9

The prompt is essentially asking for the maximum number of 5 x 5 squares that can be cut from a larger 15 by 15 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 3 'pieces' each, we have (3)(3) = 9 total smaller squares (at maximum). So the answer is: (E).

A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is
Options:
(A) 124 Kms
(B) 134 Kms
(C) 144 Kms
(D) 244 Kms
(E) None of the above

(1-(3/4))(1-(2/3)of distance = 12 km
(1/12) of distance = 12 km
Hence distance = 144 km So the answer is: (C).

Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?
Options:
(A) 8
(B) 14
(C) 43
(D) 44
(E) 9

Answer: Option B
This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2. So the answer is: (B).

A train running at the speed of 90 km/hr crosses a pole in 6 seconds. Find the length of the train.
Options:
(A) 150 meter
(B) 100 meter
(C) 105 meter
(D) 120 meter
(E) 130 meter

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train (Distance) = Speed * Time
(25) * 6 = 150 meter So the answer is: (A).