The total price of a kilogram each of Shimla apples and Red Delicious apples is 250 rupees more than the total price of a kilogram each of Red Delicious apples and Fuji apples. Fuji apples is how much cheaper than Shimla apples?
Options:
(A) 250
(B) 125
(C) 500
(D) 100
(E) 80

(Shimla + Red Delicious) - (Red Delicious + Fuji) = 250
Shimla - Fuji = 250 So the answer is: (A).

Two trains are moving at 80 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
(A) 6 sec
(B) 7 sec
(C) 7 2/2 sec
(D) 8 sec
(E) 9 sec

70 + 80 = 150 * 5/18 = 125/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/125 = 6 sec So the answer is: (A).

If x is an odd integer, which of the following is an odd integer?
Options:
(A) 2x+2
(B) x^2
(C) 2x+4x
(D) 1+2x+x^2
(E) 3x-1

Plug in an odd integer; in this case 3
(2*3)+2 = 8 Even
3^2 = 9 Odd
(2*3)+(4*3) = 6 + 12 = 18 Even
1+(2*3)+3^2 = 1+ 6 + 9 = 16 Even
(3*3)-1 = 9 - 1 = 8 Even So the answer is: (B).

How many 4 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 consonant, and each letter can be used only once?
Options:
(A) 21
(B) 42
(C) 120
(D) 600
(E) 200
Vowel: E O
Consonants: V R M N T
First letter can be filled in 2 Ways ( As the question states thatfirst letter has to be a vowel)
Fourth letter can be filled in 5 Ways ( As the question states thatthe last letter has to be a consonant)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 5 ways = 200 So the answer is: (E).