question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 20
(C) 88
(D) 77
(E) 14
answer: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 70 = 20 The answer is (B).

q: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?
Options:
(A) 21
(B) 42
(C) 120
(D) 600
(E) 720
a: Stream of consciousness: Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)
Fifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
Fourth letter can be filled in 3 Ways
So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 3 ways x 1 ways = 120 The answer is (C).

question: In a family, the father took 1/4 of the cake and he had 3 times as much as each of the other members had. The total number of family members is
Options:
(A) 3
(B) 7
(C) 10
(D) 12
(E) 15
answer: Stream of consciousness: 1-1/4 = remain cake 3/4
3/4*3 = 9/4
9/4+1/4 = 10 The answer is (C).

q: A 2015 model car had an average mileage of 38 miles per gallon, when the car wight was 180 kilograms. An upgraded version of the car in 2016 gave a mileage of 43 miles per gallon and the car weight was reduced to 150 kilograms. By approximately what percent did the mileage of the car to the weight of the car improve?
Options:
(A) 28
(B) 43
(C) 36
(D) 19
(E) 37
a: Stream of consciousness: Initial mileage/weight ratio = 38/180 = 190/900
Revised mileage/weight ratio = 43/150 = 258/900 The answer is (C).

question: A man purchased 2 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Options:
(A) 278
(B) 277
(C) 278
(D) 450
(E) 550
answer: Stream of consciousness: 10 * 150 = 1500
2 * 100 + 5 * 150 = 950
1500 1050 = 550 The answer is (E).

question: If man pays 20 for each km which he travels by taxi
and 10 for each km which he travels by bus. If in one
week he payed 800 for traveling 60 km. How many kilometers did he travel by taxi ?
Options:
(A) 23
(B) 78
(C) 27
(D) 29
(E) 20
answer:
Stream of consciousness: Let the distance covered by the taxi be 'x' km. Then, distance covered by bus = (60 x) km. 20x + 10 (60 x)20x + 600 10x = 800 10x = 200 x = 20 km. He traveled 20 km by taxi. The answer is (E).