question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Options:
(A) 150 m
(B) 145 m
(C) 140 m
(D) 135 m
(E) 155 m
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).

q: If there are 4 seats and two students, in how many ways can they be seated?
Options:
(A) 12
(B) 6
(C) 8
(D) 16
(E) 10
a: Stream of consciousness: No. of ways of choosing 2 chairs out of 4 chairs on which two students will sit = 4C2 = 6
No. of ways of 2 people sitting on selected chairs = 2!
Total ways of making 2 people sit on 2 of 4 chairs = 4C2*2! = 6*2 = 12 The answer is (A).

question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 28 Years
(B) 30 Years
(C) 32 Years
(D) 37 Years
(E) 49 Years
answer: Stream of consciousness: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years The answer is (E).

q: Efrida and Frazer who live 15 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?
Options:
(A) 6
(B) 7
(C) 8
(D) 10
(E) 13
a: Stream of consciousness: It's a simple geometry problem. Look at the diagram below: The answer is (E).

question: The edge of a cube is 6a cm. Find its surface?
Options:
(A) 116a2 cm2
(B) 126a2 cm2
(C) 256a2 cm2
(D) 150a2 cm2
(E) 216a2 cm2
answer: Stream of consciousness: 6a2 = 6 * 6a * 6a = 216a2 The answer is (E).

question: Solve below question 3x - 5 = -20
Options:
(A) -8
(B) -9
(C) -5
(D) -4
(E) 1
answer:
Stream of consciousness: 1. Subtract 1 from both sides: 3x - 5 + 5 = -20 + 5 2. Simplify both sides: 3x = -15 3. Divide both sides by 3: 4. Simplify both sides: x = -5 The answer is (C).