[User]
q: What distance will be covered by a city bus moving at 72 kmph in 30 seconds?
Options:
(A) 200 m
(B) 300 m
(C) 600 m
(D) 500 m
(E) 400 m
a: Stream of consciousness: 72 kmph = 72 * 5/18 = 20 mps
Dist = Speed * time = 20 * 30 = 600 m. The answer is (C).
--
q: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $237 for it, the cost price of the Cricket Bat for A is:
Options:
(A) 150
(B) 120
(C) 158
(D) 160
(E) 210
a: Stream of consciousness: 125% of 120% of A = 237
125/100 * 120/100 * A = 237
A = 237 * 2/3 = 158. The answer is (C).
--
q: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 49%
(C) 57%
(D) 59%
(E) 61%
a:

[Assistant]
Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).
--


[User]
Look at this series: 0.6, 0.3, ____, 0.075, 0.0375, ... What number should fill the blank?
Options:
(A) 0.015
(B) 1.15
(C) 0.15
(D) 0.25
(E) 0.35
--
This is a simple multiplication series. Each number is multiple by 1/2. So the answer is: (C).
-----
A motorcyclist goes from Bombay to Pune, a distance of 128 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:3
(B) 1:5
(C) 1:4
(D) 1:1
(E) 1:8
--
T = 128/32 = 4 h
T = 4 - 3 = 1
Time Ratio = 4:1 = 4:1
Speed Ratio = 1:4 So the answer is: (C).
-----
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 1234
(B) 2343
(C) 4546
(D) 3435
(E) 5184
--

[Assistant]
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 So the answer is: (E).
-----


[User]
q: There are 16 teams in a tournament. If during the first round, each team plays every other team exactly once, how many games will be played in the first round?
Options:
(A) 15
(B) 30
(C) 120
(D) 240
(E) 256
a: Stream of consciousness: Number of ways to pick 2 teams from a total of 16 = 16C2 = 16!/14!*2! = 120. Hence The answer is (C).

question: On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every six minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?
Options:
(A) 25%
(B) 50%
(C) 75%
(D) 100%
(E) 150%
answer: Stream of consciousness: Dolphin once in 3 min;
Beluga once in 6 min;
So, dolphin comes up 2 times frequently than beluga, which is 150% (6-3)/2*100. The answer is (E).

q: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Options:
(A) 5/54
(B) 5/12
(C) 5/17
(D) 5/18
(E) 5/14
a: Stream of consciousness: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12 The answer is (B).

question: Tom covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
Options:
(A) 15 Kmph
(B) 29 Kmph
(C) 25 Kmph
(D) 30 Kmph
(E) 34 Kmph
answer: Stream of consciousness: Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distance of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph The answer is (A).

q: If x<0, y>0, and |x| < |y|, which of the following must be true?
Options:
(A) x > y
(B) y^2 > x^2
(C) x^3 > y^2
(D) –x < y
(E) x < –y
a: Stream of consciousness: Correct Answer: (E)
Let’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus –x < y is the same statement as |x| > |y|, and (D) must be true. The answer is (D).

q: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 480 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 32/15
(B) 3/8
(C) 8/5
(D) 5/8
(E) 5/3
a:

[Assistant]
Stream of consciousness: Distance traveled by Eddy = 480 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 480/3 = 160 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 160/75 = 32/15 The answer is (A).


[User]
q: In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 72
(B) 75
(C) 80
(D) 81
(E) 90
a: 44 + 28 + 10 = 82%
100 – 82 = 18%
450 * 18/100 = 81 The answer is (D).
--
q: In a school of 850 boys, 40% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 125
(B) B) 627
(C) C) 187
(D) D) 721
(E) E) 159
a: 40 + 28 + 10 = 78%
100 – 78 = 22%
850 * 22/100 = 187 The answer is (C).
--
q: What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 757.48 = 443.095 + ?
Options:
(A) 870
(B) 790
(C) 680
(D) 770
(E) 890
a: ? = 285 + 1895 – 755 – 745 or, ? = 680 The answer is (C).
--
q: The average of 11 results is 44, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 122
(B) 156
(C) 118
(D) 125
(E) 123
a:

[Assistant]
1 to 11 = 11 * 44 = 484
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 484 = 122 The answer is (A).
--


[User]
question: 189. The inside dimensions of a rectangular wooden box
are 12 inches by 14 inches by 16 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Options:
(A)  3
(B)  4
(C)  5
(D)  6
(E)  7
answer: Stream of consciousness: Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 16x14width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 14, so the radius will be 7. The answer is (E).

q: The average of seven numbers is 9. The average of first three numbers is 7 and the average of last three numbers is 11. What is the middle number?
Options:
(A) 7
(B) 8
(C) 9
(D) 11
(E) 10
a: Stream of consciousness: The total of seven numbers = 7X9 = 63
The total of first 3 and last 3 numbers is = 3 X 7+3 X 11 = 54
So, the middle number is (63 - 54 ) = 9 The answer is (C).

question: 80 370 860 1550 2440 ?
Options:
(A) 900
(B) 840
(C) 750
(D) 860
(E) 3530
answer: Stream of consciousness: 10^2 - 20 = 80
20^2 - 30 = 370
30^2 - 40 = 860
40^2 - 50 = 1550
50^2 - 60 = 2440
60^2 - 70 = 3530. The answer is (E).

q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Options:
(A) 8112
(B) 8000
(C) 8500
(D) 7500
(E) 6500
a: Stream of consciousness: A = 7500(26/25)2 = 8112 The answer is (A).

question: There are 5 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 150
(D) 180
(E) 200
answer: Stream of consciousness: Number of ways of selecting 2 fiction books = 5C2
Number of ways of selecting 2 non fiction books = 6C2
5C2 * 6C2 = 10 * 15 = 150 The answer is (C).

question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 2 strokes ?
Options:
(A) 3/4
(B) 7/8
(C) 1/4
(D) 1/8
(E) 1/16
answer:

[Assistant]
Stream of consciousness: Left After 1st stroke = 1/2
Left After 2nd stroke = 1/2 * 1/2 = 1/4
So removed = 1- 1/4 = 3/4 The answer is (A).


[User]
q: There are 20 pieces of candy and 4 kids. How many pieces of candy does each kid get?
Options:
(A) 7
(B) 5
(C) 13
(D) 20
(E) 4
a: Stream of consciousness: If you split 20 pieces of candy between 4 kids each kid will get 5 pieces of candy The answer is (B).

question: If 14m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m −1
(B) 4m
(C) 5m
(D) m/5
(E) 6m/5
answer: Stream of consciousness: 14m - n = p
Add n to both sides:
14m = n + p
Add m to both sides:
15m = n + p + m
Now, divide both sides by 3
5m = (n + p + m)/3 = the average of n, p, and m The answer is (C).

q: Look at this series: 0.05, 0.2, ____, 3.2, 12.8, ... What number should fill the blank?
Options:
(A) 0.5
(B) 0.6
(C) 0.9
(D) 0.7
(E) 0.8
a: Stream of consciousness: This is a simple multiplication series. Each number is 4 times greater than the previous number. The answer is (E).

question: The average age of a class of 42 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) 30 Years
(B) 31 Years
(C) 32 Years
(D) 34 Years
(E) 59 Years
answer: Stream of consciousness: Total age of students is 42X16 = 672 Years
Total age inclusive of teacher = 43X (16+1) = 731
So, Teacher's age is 731-672 = 59 Yrs
There is a shortcut for these type of problems
Teacher's age is 16+(43X1) = 59 Years The answer is (E).

q: Ravi can do a piece of work in 15 days while Prakash can do it in 6 days. In how many days will they finish it together?
Options:
(A) 5 7/9 days
(B) 6 7/9 days
(C) 5 1/9 days
(D) 5 7/2 days
(E) 4 2/7 days
a: Stream of consciousness: 1/15 + 1/6 = 7/30
30/7 = 4 2/7 days The answer is (E).

q: A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?
Options:
(A)  5/7
(B)  1/7
(C)  2/7
(D)  3/7
(E)  1/2
a:

[Assistant]
Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C3
Two men = 5C2
Two women = 3C1
P = (5C2 * 3C1)/8C2 = 5/7 hence The answer is (A).


[User]
q: From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Options:
(A) 1360
(B) 1260
(C) 1060
(D) 1160
(E) 1460
a: There are 36 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 36 ways. When one person is appointed as leader, we are left with 35 students. Out of these 35 teachers, we can select one class representative. So, a class representative can be selected in 35 ways. Hence, the number of ways in which a leader and class representative can be selected = 36 x 35 = 1260 The answer is (B).
--
q: A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train.
Options:
(A) 150 m
(B) 50 m
(C) 75 m
(D) 135 m
(E) 60 m
a: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 3 = 50 meter The answer is (B).
--
q: The average of first 12 even numbers is?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
a: Sum of 12 even numbers = 12 * 13 = 156
Average = 156/13 = 13 The answer is (D).
--
q: If a man can cover 20 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 288
(B) 162
(C) 220
(D) 270
(E) 122
a:

[Assistant]
20 m/s = 20 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 20 * 18/5 * 15/4 km = 270 km. The answer is (D).
--


[User]
question: (4300731)-! = 2535618. Find value of !?
Options:
(A) 1213441
(B) 2354546
(C) 4354556
(D) 2435454
(E) 1765113
answer: Stream of consciousness: Let 4300731 - ! = 2535618
Then !, = 4300731 - 2535618 = 1765113 The answer is (E).

q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Options:
(A) 63
(B) 25
(C) 40
(D) 65
(E) 98
a: Stream of consciousness: Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63. The answer is (A).

question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 50%
(C) 57%
(D) 64%
(E) 78%
answer: Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).

q: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?
Options:
(A) 99
(B) 98
(C) 97
(D) 96 answer
(E) 95
a: Stream of consciousness: The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this. The answer is (D).

question: 80 is increased by 50%. Find the final number.
Options:
(A) 100
(B) 110
(C) 120
(D) 30
(E) 160
answer: Stream of consciousness: Final number = Initial number + 50%(original number) = 80 + 50%(80) = 80 + 40 = 120. The answer is (C).

question: During a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2/5. What is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50%.
Options:
(A) 3
(B) 2
(C) 1
(D) 4
(E) 5
answer:

[Assistant]
Stream of consciousness: Rule of Subtraction: P(A) = 1 - P(A')
Rule of Multiplication: P(A ∩ B) = P(A) P(B)
The probability that the pitcher throws a strike at least once in 2 guesses is 1- (3/5)^2 = 1 - 9/25 = 16/25 > 50%. The answer is (B).


[User]
Find the value of y from (12)^3 x 6^4÷432 =y?
Options:
(A) 4363
(B) 4765
(C) 4879
(D) 6789
(E) 5184 OK. Let's think. Some random thoughts first:

[Assistant]
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer: (E).


[User]
Use some thinking to answer the following question. If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/7%
(B) 22 7/2%
(C) 29 1/2%
(D) 22 1/2%
(E) 22 1/3%

[Assistant]
9 = (1*40*R)/100
R = 22 1/2 % So the final answer is (D).


[User]
The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 40, 30 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 90, 30 kmph Stream of consciousness first, then make a decision:

[Assistant]
Speed downstream = 60 + 30 = 90 kmph
Speed upstream = 60 - 30 = 30 kmph
Thus, the answer is (E).


[User]
q: Two trains are moving at 75 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 6/29 sec
(B) 7 1/7 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/19 sec
a: Stream of consciousness: 70 + 75 = 145 * 5/18 = 725/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/725 = 180/29 = 6 6/29 sec The answer is (A).

question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 19 1/7 min
(B) 15 1/7 min
(C) 17 1/7 min
(D) 7 1/7 min
(E) 7 2/7 min
answer: Stream of consciousness: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7 The answer is (C).

q: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
(A) 70, 10 kmph
(B) 35, 27 kmph
(C) 110, 10 kmph
(D) 45, 55 kmph
(E) 45, 65 kmph
a: Stream of consciousness: Speed of the boat in still water = (100+120)/2 = 110 kmph. Speed of the stream = (120-100)/2 = 10 kmph The answer is (C).

question: How much is 80% of 40 is greater than 4/5 of 15?
Options:
(A) 12
(B) 20
(C) 18
(D) 12
(E) 81
answer: Stream of consciousness: (80/100) * 40 â€“ (4/5) * 15
32 - 12 = 20 The answer is (B).

q: If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/5
(E) 1/10
a: Stream of consciousness: 15 + 20 + 55 = 90% 100 - 90 = 10% to all others The answer is (E).

q: Which one of the following is not a prime number?
Options:
(A) 2
(B) 3
(C) 5
(D) 9
(E) 7
a:

[Assistant] Stream of consciousness: 9 is divisible by 3. So, it is not a prime number. The answer is (D).


[User]
question: What number comes next in the following number series? 12, 50, 202, 810, 3242, _____
Options:
(A) 12400
(B) 12800
(C) 12970
(D) 13015
(E) 16000
answer: Stream of consciousness: 12
12 × 4 + 2 = 50
50 × 4 + 2 = 202
202 × 4 + 2 = 810
810 × 4 + 2 = 3242
3242 × 4 + 2 = 12970 The answer is (C).

q: 80 370 860 1550 ? 3530
Options:
(A) 900
(B) 2440
(C) 750
(D) 244
(E) 960
a: Stream of consciousness: 10^2 - 20 = 80
20^2 - 30 = 370
30^2 - 40 = 860
40^2 - 50 = 1550
50^2 - 60 = 2440
60^2 - 70 = 3530. The answer is (B).

question: The compound ratio of 2/3, 6/7, 4/3 and 1/8 is given by?
Options:
(A) 2/21
(B) 1/48
(C) 1/98
(D) 1/96
(E) 1/68
answer: Stream of consciousness: 2/3 * 6/7 * 4/3 * 1/8 = 48/504 = 2/21 The answer is (A).

q: What percent is 120 of 80?
Options:
(A) 150 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 %
a: Stream of consciousness: 120/80 = 3/2
3/2 × 100 = 300/2 = 150 % The answer is (A).

question: The average of five numbers is 41. The average of first two numbers is 32 and the average of last two numbers is 38. What is the middle number?
Options:
(A) 59
(B) 64
(C) 61
(D) 72
(E) 65
answer: Stream of consciousness: The total of five numbers = 5X41 = 205
The total of first 2 and last 2 numbers is = 2 X 32+2 X 38 = 140
So, the middle number is (205 - 140 ) = 65 The answer is (E).

question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Options:
(A) 5 years
(B) 6 years
(C) 7 years
(D) 9 years
(E) 15 years
answer:

[Assistant]
Stream of consciousness: (4000*T*5)/100 = (5000*5*4)/100
T = 5 years The answer is (A).


[User]
q: Some persons can do a piece of work in 16 days. Two times the number of these people will do half of that work in?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
a: Stream of consciousness: 16/ (2 * 2) = 4 days The answer is (B).

question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 2 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other one children on either side of him, how many seating arrangements are possible?
Options:
(A)  3
(B)  4
(C)  6
(D)  8
(E)  10
answer: Stream of consciousness: Mother has a fixed place and father, so there are 3*2 ways to arrange the children, hence The answer is (C).

q: he population of a city is 120,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Options:
(A) 137787
(B) 134832
(C) 139776
(D) 139728
(E) 139718
a: Stream of consciousness: Population after n years = P [1 + (R/100)]2
Population after 2 years = 120000 * [1 + 6/100]2 = (120000 x 53/50 x 53/50) = 134832 The answer is (B).

question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for three years?
Options:
(A) 29893
(B) 27773
(C) 29989
(D) 26100
(E) 29883
answer: Stream of consciousness: Simple interest = (18000 * 3 * 15)/100 = Rs. 8100
Amount = P + I = 18000 + 8100 = Rs. 26100 The answer is (D).

q: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 3 times, and no one scored below 400 or over 700. If the individual ranges of the three people's scores in those 3 practice tests were 40, 70 and 100, what is the difference between the maximum and minimum possible ranges of all their scores put together.
Options:
(A) 70
(B) 80
(C) 100
(D) 140
(E) 200
a: Stream of consciousness: According to the information in the question the maximum range would be between 400 and 700(300). The minimum range would be the greatest range for any one individual, which is listed in the problem as 100. So the difference between these would be 300-100 or 200. The answer is (E).

q: If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?
Options:
(A) $10
(B) $20
(C) $30
(D) $40
(E) $50
a:

[Assistant] Stream of consciousness: Five friends amount increased by $10 and Raj shared equally so amount = 5 * 10 = 50 The answer is (E).


[User]
question: Rohith,who works in a parcel service, has a certain number of small plastic boxes to pack into parcels. If he packs 3,4,5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?
Options:
(A) 223
(B) 301
(C) 377
(D) 1368
(E) 222
answer: Stream of consciousness: The required number of boxes is such that it leaves a remainder of 1 when divided by 3, 4, 5 or 6 and no remainder of 1 when divided by 3, 4, 5 or 6 and no remainder when divided by 7. Such a number is 301. The answer is (B).
--
question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2234
(B) 3245
(C) 3456
(D) 4567
(E) 5184
answer: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).
--
question: A family pays $900 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Options:
(A) $1,000
(B) $1,200
(C) $1,300
(D) $1,800
(E) $2,200
answer: Stream of consciousness: Upfront payment for insurance plan = 900$
Family needs to pay 20 % of first 1000 $ in expense = 200$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 900 + 200 = 1100 $
Total amount paid by insurance plan for first 1000 $ = 900 $
Total amount paid by family will equal amount paid by plan when medical expense = 1300 $
(Since insurance plan will pay 100% of amount that exceeds 1100$ ) The answer is (C).
--
question: If six persons sit in a row, then the probability that three particular persons are always together is -.
Options:
(A) 1/5
(B) 1/7
(C) 1/9
(D) 1/2
(E) 2/7
answer:

[Assistant]
Stream of consciousness: 3!4! Required probability = 3!4!/6! = 1/5 The answer is (A).
--


[User]
Question: What amount does Kiran get if he invests Rs. 16000 at 15% p.a. simple interest for four years?
Options:
(A) Rs. 25800
(B) Rs. 15600
(C) Rs. 21600
(D) Rs. 24800
(E) Rs. 25600 Let's think first. Some random reasoning:

[Assistant]
Simple interest = (16000 * 4 * 15)/100 = Rs. 9600
Amount = P + I = 16000 + 9600 = Rs. 25600 The final answer: (E).


[User]
question: One copy machine can make 20 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?
Options:
(A) 10 minutes
(B) 20 minutes
(C) 25 minutes
(D) 30 minutes
(E) 35 minutes
answer: Stream of consciousness: Total work done by both machines in a minute = 20 + 10 = 30 copies
Total number of copies required = 900
Time = 900/30 = 30 mins The answer is (D).
--
question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Options:
(A) 7!*3!
(B) 7!*2!
(C) 6!*3!
(D) 5!*2!
(E) 8!*3!
answer: Stream of consciousness: Total number of ways = 7!*2!. The answer is (B).
--
question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 101 players took part in that tournament. How many matches were played?
Options:
(A) 90 matches
(B) 95 matches
(C) 99 matches
(D) 100 matches
(E) 87 matches
answer: Stream of consciousness: D
100 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 100 matches were playe The answer is (D).
--
question: What percent is 120 of 70?
Options:
(A) 133 1/3 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 171 3/7 %
answer:

[Assistant]
Stream of consciousness: 120/70 = 12/7
12/7 × 100 = 1200/7 = 171 3/7 % The answer is (E).
--


[User]
question:The compound ratio of 2/3, 6/7, 1/3 and 1/9 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 4/189
(D) 1/96
(E) 1/68
answer:(C)
Stream of consciousness:2/3 * 6/7 * 1/3 * 1/9 = 12/567 = 4/189

question:The average of first four prime numbers greater than 50 is?
Options:
(A) 50
(B) 57
(C) 89
(D) 56
(E) 60
answer:(E)
Stream of consciousness:53 + 59 + 61 + 67 = 240/4 = 60

question:Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
Options:
(A) 3
(B) 4
(C) 6
(D) 9
(E) 8
answer:

[Assistant]
(A)
Stream of consciousness:On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted


[User]
Give a quick stream of consciousness before answering the following question. How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 99
(C) 66
(D) 55
(E) 71

[Assistant]
(60/100) * 50 – (40/100) * 30
30 - 12 = 18
The answer: (A).


[User]
Amanda sees a sale for 30% off all items, she sees a dress on sale that originally cost $50. How much will it cost Amanda to buy the dress after the sale amount of 30% has been take off?
Options:
(A) $40
(B) $35
(C) $50
(D) $65
(E) $15

Final number = original number - 30%(original number) = 50 - 30%(50) = 50 - 15 = $35. So the answer is: (B).

In a school of 850 boys, 44% of Muslims, 14% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 125
(B) B) 627
(C) C) 153
(D) D) 721
(E) E) 272

44 + 14 + 10 = 68%
100 – 68 = 32%
850 * 32/100 = 272 So the answer is: (E).

If 4 men can color 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in
Options:
(A) 1 day
(B) 2 days
(C) 3 days
(D) 4 days
(E) 5 days

The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day. So the answer is: (A).

Which of the following is not divisible by 4?
Options:
(A) 10236
(B) 21792
(C) 47816
(D) 91232
(E) 72034

[Assistant]
Divisibility rule of 4: Last two digits of the number should be divisible by 4
Option A: 10236, last two digits = 36. Divisible by 4
Option B: 21792, last two digits = 92. Divisible by 4
Option C: 47816, last two digits = 16. Divisible by 4
Option D: 91232, last two digits = 32. Divisible by 4
Option E: 72034, last two digits = 34. Not divisible by 4. Hence 72034 is not divisible by 4 So the answer is: (E).


[User]
q: The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?
Options:
(A) 4
(B) 5
(C) 8
(D) 10
(E) 12
a: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).
--
q: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 17
(B) 16
(C) 17
(D) 19
(E) 62
a: Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a). The answer is (D).
--
q: By how much is 50% of 250 greater than 25% of 400.
Options:
(A) 25
(B) 26
(C) 29
(D) 39
(E) 26
a: (50/100) * 250 â€“ (25/100) * 400
125 - 100 = 25 The answer is (B).
--
q: If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 30%
(E) none of these
a:

[Assistant]
Here, l = 6 and m = 30
Therefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number The answer is (A).
--


[User]
A football field is 9600 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 5600 square yards?
Options:
(A) 450
(B) 600
(C) 700
(D) 2400
(E) 3200 Now, let's think a bit. Some random thoughts:

[Assistant]
Answer C) 9600 yards need 1200 lbs
1 Yard will need 1200/9600 = 1/8 lbs
3600 Yards will need 1/8* 5600 Yards = 700lbs
The final answer: (C).


[User]
q: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Options:
(A) 81000
(B) 22887
(C) 26877
(D) 26771
(E) 17121
a: 64000* 9/8 * 9/8 = 81000 The answer is (A).
--
q: What is the are of an equilateral triangle of side 10 cm?
Options:
(A) 66âˆš3 cm2
(B) 25âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2
a: Area of an equilateral triangle = âˆš3/4 S2
If S = 10, Area of triangle = âˆš3/4 * 10 * 10 = 25âˆš3 cm2; The answer is (B).
--
q: The average of seven numbers is 9. The average of first three numbers is 7 and the average of last three numbers is 11. What is the middle number?
Options:
(A) 7
(B) 8
(C) 9
(D) 11
(E) 10
a: The total of seven numbers = 7X9 = 63
The total of first 3 and last 3 numbers is = 3 X 7+3 X 11 = 54
So, the middle number is (63 - 54 ) = 9 The answer is (C).
--
q: A wheel rotates 20 times every minute and moves 15 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 6 metre
(B) 18 metre
(C) 180 metre
(D) 1200 metre
(E) 130 metre
a:

[Assistant]
Number of times wheel moves in 1 hour = 12 * 60 = 1200
:. Distance moves = (1200*15) cms = 18000 cms
In metres = 180 metre The answer is (C).
--


[User]
Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 360 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 5/8
(E) 20/9 Stream of consciousness:

[Assistant]
Distance traveled by Eddy = 600 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 600/3 = 200 km/hour
Distance traveled by Freddy = 360 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 360/4 = 90 km/hour
Ratio of average speed of Eddy to Freddy = 200/90 = 20/9
Thus, the answer is (E).


[User]
Q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 120 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 6 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 110 miles
(D) 120 miles
(E) 400 miles Let's give some random thoughts before answering.

[Assistant]
Answer = C. 110 miles
Relational speed = 120 - 100 = 20 miles per hour
In 4 hours, difference = 20 * 4 = 120 miles
Fast train trailing 10 miles, so effective difference = 120 - 10 = 110 miles
Therefore, the answer is (C).


[User]
Give stream of consciousness and then the final answer. In a school of 850 boys, 34% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 125
(B) B) 627
(C) C) 153
(D) D) 238
(E) E) 159

[Assistant]
34 + 28 + 10 = 72%
100 – 72 = 28%
850 * 28/100 = 238
The final answer: (D).


[User]
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and B together can do it in 2 hours. How long will C alone take to do it?
Options:
(A) 12hours
(B) 10hours
(C) 6hours
(D) 8hours
(E) 4hours Now, let's think a bit. Some random thoughts:

[Assistant]
A's 1 hour work = 1/4;
(B + C)'s 1 hour work = 1/3;
(A + B)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12
C's 1 hour work = (7/12 - 1/2) = 1/12
C alone will take 12 hours to do the work.
The final answer: (A).


[User]
If a man can cover 30 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 1767 km
(D) 1887 km
(E) 405 km Stream of consciousness first, then make a decision:

[Assistant]
30 m/s = 30 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 30 * 18/5 * 15/4 km = 405 km.
Thus, the answer is (E).


[User]
On a clock, how many times a day do the minute and hour hand overlap?
Options:
(A) 10
(B) 11
(C) 20
(D) 22
(E) 24

22 times: 12:00:00, 1:05:27, 2:10:55, 3:16:22, 4:21:49, 5:27:16, 6:32:44, 7:38:11, 8:43:38, 9:49:05, 10:54:33. Each twice a day. So the answer is: (D).

A train 460 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 87
(C) 48
(D) 21
(E) 14

Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 460 + 140 = 600 m
Required time = 600 * 2/25 = 48 se So the answer is: (C).

Rs.500 amounts to Rs.670 in 5 years at simple interest. If the interest is increased by 2%, it would amount to how much?
Options:
(A) 150
(B) 550
(C) 760
(D) 450
(E) 260

(500*5*2)/100 = 50
500+ 50 = 550 So the answer is: (B).

30 pens and 75 pencils were purchased for 570. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14

[Assistant]
Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (570 – 150) = 360
∴ Average price of a pen = 420⁄60 = 14 So the answer is: (E).


[User]
In how many different ways can the letters of the word "BICYCLE" be rearrangement?
Options:
(A) 5040
(B) 5045
(C) 5140
(D) 5010
(E) 5020 Think first, then make a decision. Some random thoughts:

[Assistant]
Option 'A'
The total number of arrangements is
7P7 = 7! = 5040 So the answer is (A).


[User]
There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i) Ladu not eaten on monday
(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.
(iii) Peda is eaten the day following the day of eating Jilebi
(iv) If Ladu eaten on tuesday, kaju should be eaten on monday
based on above, peda can be eaten on any day except
Options:
(A) monday
(B) tuesday
(C) tuWesday
(D) wednesday
(E) friday Think first, then make a decision. Some random thoughts:

[Assistant] From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday. So the answer is (A).


[User]
question: How many three-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?
Options:
(A) 8
(B) 0
(C) 6
(D) 10
(E) 12
answer: Stream of consciousness: A number ending with 2 can never be a perfect square. The answer is (B).

q: How many factors does 34^2 have?
Options:
(A) 2
(B) 8
(C) 20
(D) 25
(E) 26
a: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4
Total factors = (4+1)*(4+1) = 5*4 = 20 The answer is (C).

question: There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17 B. 29 C. 23 D. 31
Options:
(A) 17
(B) 29
(C) 23
(D) 31
(E) 33
answer: Stream of consciousness: (7429/12673) = 17/29 Fourth Number is 29 The answer is (B).

q: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 75 with him, what was the average amount with the group before his joining the group?
Options:
(A) s. 25.6
(B) s. 45/2
(C) s. 16.6
(D) s. 26
(E) s. 25/2
a: Stream of consciousness: Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 50. So, the amount with remaining 6 people = 210 - 75 = Rs. 135
The average amount with them = 135/6 = Rs. 45/2 The answer is (B).

question: The smallest number which when subtracted from the sum of squares of 11 and 13 gives a perfect square is
Options:
(A) 1
(B) 4
(C) 5
(D) 9
(E) 8
answer: Stream of consciousness: 11^2 + 13^2 = 121 + 169 = 290
290 - 1 = 289 = 17^2
1 must be subtracted to give a perfect square. The answer is (A).

question: Ravi can do a piece of work in 15 days while Prakash can do it in 6 days. In how many days will they finish it together?
Options:
(A) 5 7/9 days
(B) 6 7/9 days
(C) 5 1/9 days
(D) 5 7/2 days
(E) 4 2/7 days
answer:

[Assistant]
Stream of consciousness: 1/15 + 1/6 = 7/30
30/7 = 4 2/7 days The answer is (E).


[User]
q: The average of 13 numbers is 60. Average of the first 7 of them is 55 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 32
(B) 83
(C) 45
(D) 53
(E) 64
a: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 55 = 385
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 385 - 780 = 32. The answer is (A).
--
q: The average of thirteen numbers is 9. The average of first six numbers is 5 and the average of last six numbers is 7. What is the middle number?
Options:
(A) 47
(B) 45
(C) 25
(D) 37
(E) 44
a: Stream of consciousness: The total of thirteen numbers = 13X9 = 117
The total of first 6 and last 6 numbers is = 6 X 5+6 X 7 = 72
So, the middle number is (117 - 72 ) = 45 The answer is (B).
--
q: If x is a positive odd integer and y is a negative even integer, which of the following must be true?
Options:
(A) x^3 + y is a positive odd integer
(B) x^2 + y^2 is a negative odd integer
(C) x^0 + y^11 is a negative odd integer
(D) x + y is a positive odd integer
(E) x + y is a negative odd integer
a:

[Assistant]
Stream of consciousness: Anything power 0 is always 1 and given that Y is even and negative, then
1 + (-2) will be negative with odd power values for Y. The answer is (C).
--


[User]
q: Look at this series: 201, 202, 204, 207, ... What number should come next?
Options:
(A) 211
(B) 205
(C) 224
(D) 267
(E) 269
a: Stream of consciousness: In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on. The answer is (A).

question: What is the probability that Company R's advertisement will be one of the first two be shown during the first commercial break?
Options:
(A)  1/ 225
(B)  1 / 30
(C)  1 /15
(D)  2 / 15
(E)  4 /15
answer: Stream of consciousness: R 1/15 + (14/15) * 1/14 = 2/15 The answer is (D).

q: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Options:
(A) 22
(B) 27
(C) 48
(D) 99
(E) 23
a: Stream of consciousness: D = 540 + 180 = 720
S = 54 * 5/18 = 15 mps
T = 720/15 = 48 se The answer is (C).

question: Select Odd number:
6, 9, 15, 21, 24, 28, 30
Options:
(A) 20
(B) 21
(C) 24
(D) 28
(E) 30
answer: Stream of consciousness: Each of the numbers except 28, is a multiple of 3. The answer is (D).

q: A train 350 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 15 sec
(B) 16 sec
(C) 18 sec
(D) 20 sec
(E) 25 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 350 * 2/35 = 20 sec The answer is (D).

q: What is the next number of the following sequence.
8, 8, 6, 2,.... ?
Options:
(A) -4
(B) -5
(C) -6
(D) -7
(E) -8
a:

[Assistant]
Stream of consciousness: 8-(2*0) = 8
8-(2*1) = 6
6-(2*2) = 2
2-(2*3) = -4 The answer is (A).


[User]
question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) 1323
(B) 9261
(C) 2788
(D) 2999
(E) 1722
answer: Stream of consciousness: A = 8000(21/20)3 = 9261 The answer is (B).

q: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream?
Options:
(A) 30 kmph
(B) 40 kmph
(C) 78 kmph
(D) 15 kmph
(E) 23 kmph
a: Stream of consciousness: Speed downstream = 50 + 20 = 70 kmph
Speed upstream = 50 - 20 = 30 kmph The answer is (A).

question: From a Group of 9 People, Including George and Nina, 4 people are to be selected at random to work on a certain project. What is the probability that 4 people selected will include George but not Nina
Options:
(A) 5/56
(B) 9/56
(C) 15/56
(D) 35/120
(E) 25/56
answer: Stream of consciousness: Number of ways of selecting 4 people out of 9 people = 9C4
In the three members George will always be there in the team. At this step we have vacancy for 3 more members and 8 members are available. Nina cannot be there in the team. So 3 members have to be selected and the number of available members = 8 - Nina = 7
Number of ways to form a 4 member team that includes George and excludes Nina = 7C3
Probability = 7C3/9C4 = 35/120 The answer is (D).

q: 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 vowel, and each letter can be used only once?
Options:
(A) 20
(B) 40
(C) 120
(D) 60
(E) 10
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 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 1 ways = 40 The answer is (B).

question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 510 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 5/8
(E) 34/15
answer: Stream of consciousness: Distance traveled by Eddy = 510 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 510/3 = 170 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 170/75 = 34/15 The answer is (E).

question: How long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length?
Options:
(A) 28
(B) 16.0
(C) 16.4
(D) 16.8
(E) 16.1
answer:

[Assistant]
Stream of consciousness: D = 110 + 170 = 280 m
S = 36 * 5/18 = 10
T = 280 * 1/10 = 28 sec The answer is (A).


[User]
If a man can cover 10 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 288
(B) 162
(C) 145
(D) 135
(E) 130
Answer and stream of consciousness: (D)
Stream of consciousness: 10 m/s = 10 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 10 * 18/5 * 15/4 km = 135 km.

A man purchased 3 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) 450
(B) 992
(C) 276
(D) 187
(E) 161
Answer and stream of consciousness: (A)
Stream of consciousness: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450

Grace has 16 jellybeans in her pocket. She has 8 red ones, 6 green ones, and 2 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 15
Answer and stream of consciousness: (E)
Stream of consciousness: The worst scenario is when she takes 8 red and 6 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.

Which value of x does statisfy the inequality 2x2 + x – 3 < 0?
Options:
(A) -3⁄2 < x < 1
(B) -1 < x < 3⁄2
(C) x > 1
(D) x < -2⁄5
(E) None of these
Answer and stream of consciousness:

[Assistant]
(A)
Stream of consciousness: 2x2 + x – 3 < 0
⇒ (x – 1)(2x + 3) < 0 or, -3⁄2 < x < 1


[User]
Give a quick stream of consciousness before answering the following question. If a man can cover 24 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 324 km
(D) 1887 km
(E) 177 km

[Assistant]
24 m/s = 24 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 24 * 18/5 * 15/4 km = 324 km.
The answer: (C).


[User]
q: The average of first four prime numbers greater than 50 is?
Options:
(A) 50
(B) 57
(C) 89
(D) 56
(E) 60
a: OK... 53 + 59 + 61 + 67 = 240/4 = 60
The answer is (E).

q: Find a a prime number from the options below.
Options:
(A) 86
(B) 87
(C) 88
(D) 89
(E) 90
a: OK... Clearly, 89 is a prime number.
The answer is (D).

q: Find the mean proportional between 36 & 49?
Options:
(A) A) 42
(B) B) 61
(C) C) 63
(D) D) 65
(E) E) 67
a:

[Assistant]
OK... Formula = √a×b
A = 36 and B = 49
√36×49 = 6 × 7 = 42
The answer is (A).


[User]
Give stream of consciousness and then the final answer. Which of the following is equal to (y+1)!/y!?
Options:
(A) y-1
(B) 1+(1/y)
(C) 1
(D) y+1
(E) y

[Assistant]
(y + 1)! = (y + 1) * x!
(y + 1)!/y! = y + 1
The final answer: (D).


[User]
question:Two trains are traveling on parallel tracks in the same direction. The faster train travels at 150 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 60 miles
(B) 80 miles
(C) 90 miles
(D) 140 miles
(E) 400 miles
answer:(D)
Stream of consciousness:Answer = D. 140 miles
Relational speed = 150 - 100 = 50 miles per hour
In 3 hours, difference = 50 * 3 = 150 miles
Fast train trailing 10 miles, so effective difference = 150 - 10 = 140 miles

question:In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?
Look at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?
Options:
(A) 2
(B) 4
(C) 12
(D) 0
(E) 13
answer:(E)
Stream of consciousness:E
13
This is an alternating addition and subtraction series. In the first pattern, 6 is added to each number to arrive at the next. In the second, 2 is subtracted from each number to arrive at the next.

question:The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.
In a game of blackjack, if your first card is a spade, what are the odds that it is an ace?
Options:
(A) 1/52
(B) 1/26
(C) 1/13
(D) 1/4
(E) 5/13
answer:

[Assistant]
(C)
Stream of consciousness:There are 13 spades, the probability that the spade we already have is an ace is therefore 1/13.


[User]
q: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 22 sec
(B) 16 sec
(C) 17 sec
(D) 88 sec
(E) 12 sec
a: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec The answer is (B).

question: A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?
Options:
(A) Black
(B) White
(C) Red
(D) Blue
(E) None
answer: Stream of consciousness: This question is based on bear on poles so it should be polo bear and the color of polo bear is white. The answer is (B).

q: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?
--
Options:
(A) 12
(B) 19
(C) 60
(D) 160
(E) 180
a: Stream of consciousness: 5C2 * 4C2 * 3C2 = 10*6*3 = 180. The answer is (E).

question: Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z?
Options:
(A) y + 3z
(B) (y +z)  / 4
(C) 2y + 3z
(D) z/2
(E) 3y + 4.5z
answer: Stream of consciousness: Based on the given information, the following equation could be dervied: 2% * x + 4% * y + 5% * z = 4% * (x+y+z) Then use algebra to figure out -2%*x = 0%*y - 1%*z. Thus, 2x = z. The answer is (D).

q: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 8 1/3%
(C) 3 5/3%
(D) 5 1/3%
(E) 3 1/7%
a: Stream of consciousness: P = (P*30*R)/100
R = 3 1/3% The answer is (A).

q: In how many different ways could couples be picked from 8 men and 5 women?
Options:
(A) 8
(B) 5
(C) 13
(D) 40
(E) 20
a:

[Assistant]
Stream of consciousness: Number of mens = 8
Number of womens = 5
Different ways could couples be picked = 8c1 * 5c1 = 8 * 5 = 40 ways The answer is (D).


[User]
The average age of a class of 22 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
Options:
(A) 30 Years
(B) 31 Years
(C) 33 Years
(D) 34 Years
(E) 49 Years Stream of consciousness first, then make a decision:

[Assistant]
Total age of students is 22X10 = 220 Years
Total age inclusive of teacher = 23X (10+1) = 253
So, Teacher's age is 253-220 = 33 Yrs
There is a shortcut for these type of problems
Teacher's age is 10+(23X1) = 33 Years
Thus, the answer is (C).


[User]
At 15:00 there were 21 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 30 Hmmm, my stream of consciousness:

[Assistant]
Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 27 So, the answer is (D).


[User]
A train 400 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 56
(C) 29
(D) 27
(E) 21 Now, let's think a bit. Some random thoughts:

[Assistant]
S = (400 + 300)/45 = 700/45 * 18/5 = 56
The final answer: (B).


[User]
A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 85 m
(B) 70 m
(C) 115 m
(D) 50 m
(E) 150 m Let's think first. Stream of consciousness:

[Assistant]
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m
So, the answer is (D).


[User]
question: CMM, EOO, GQQ, _____, KUU
Options:
(A) MSQ
(B) IPS
(C) IIS
(D) ISS
(E) POL
answer: Stream of consciousness: The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U. The answer is (D).

q: The average age of applicants for a new job is 30, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Options:
(A) 8
(B) 16
(C) 17
(D) 18
(E) 34
a: Stream of consciousness: Minimum age = Average - 1 Standard deviation = 30 - 8 = 22
Maximum age = average + 1 Standard deviation = 30+ 8 = 38
Maximum number of different ages of the applicants = 38 - 22 + 1 = 17 The answer is (C).

question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/7%
(B) 22 7/2%
(C) 29 1/2%
(D) 22 1/2%
(E) 22 1/3%
answer: Stream of consciousness: 9 = (1*40*R)/100
R = 22 1/2 % The answer is (D).

q: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 900 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 8/3
(B) 3/8
(C) 8/5
(D) 4/1
(E) 5/3
a: Stream of consciousness: Distance traveled by Eddy = 900 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 900/3 = 300 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 4 hours
Average speed of Freddy = 300/4 = 75 km/hour
Ratio of average speed of Eddy to Freddy = 300/75 = 4/1 The answer is (D).

question: In a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
Options:
(A) 55053
(B) 50553
(C) 5553
(D) 40532
(E) 44258
answer: Stream of consciousness: 120 * 456 + 333 = 55053 The answer is (A).

question: If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/10
(D) 1/20
(E) 1/40
answer:

[Assistant] Stream of consciousness: 25 + 15 + 55 = 95% 100 - 95 = 5% to all others The answer is (D).


[User]
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 2 kmph.
(B) 4 kmph.
(C) 5 kmph.
(D) 8 kmph.
(E) 7 kmph.
Answer and stream of consciousness: (D)
Stream of consciousness: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph

Which is equal to 11?
Options:
(A) 1.1
(B) -11
(C) 11/11
(D) 11/1
(E) 1/11
Answer and stream of consciousness: (D)
Stream of consciousness: 11/1 is equal to 11.

Express 30 mps in kmph?
Options:
(A) 122
(B) 108
(C) 110
(D) 150
(E) 100
Answer and stream of consciousness: (B)
Stream of consciousness: 30 * 18/5 = 108 kmph

If a man can cover 24 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 324 km
(D) 1887 km
(E) 177 km
Answer and stream of consciousness:

[Assistant]
(C)
Stream of consciousness: 24 m/s = 24 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 24 * 18/5 * 15/4 km = 324 km.


[User]
Q: If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region?
Options:
(A) 25/√π
(B) 30/√π
(C) 20
(D) twenty five (25)
(E) 30 Let's give some random thoughts before answering.

[Assistant]
60/360 = 1/6
1/6 of total area = 5
5/6 of total area = 5*5 = 25
Therefore, the answer is (D).


[User]
Q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Options:
(A) 2287
(B) 2689
(C) 1667
(D) 8112
(E) 1691
A: OK... Stream of consciousness: A = 7500(26/25)2 = 8112
The answer is (D).

Q: A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?
Options:
(A) 1/3
(B) 1/6
(C) 1/27
(D) 1/243
(E) 1/486
A: OK... Stream of consciousness: For each digit there are six possibilities. Two of them (3 and 6) are divisible by three, so there is a one in three chance for each digit, and since the digits are independent of each other, overall probability is 1 / 3^5 or
The answer is (D).

Q: In case N is the only individual sewing on committee B, which among the following shouldserve on committee A?
Options:
(A) V and U
(B) V and T
(C) U and S
(D) O and P
(E) T and U
A: OK... Stream of consciousness: O and P should serve on A
The answer is (D).

Q: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Options:
(A) 1
(B) 2
(C) 3
(D) 5
(E) 6
A:

[Assistant]
OK... Stream of consciousness: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
The answer is (B).


[User]
Give a quick stream of consciousness before answering the following question. An archer is shooting arrows from various distances. She shoots at a target from 30 yards, 40 yards, and 50 yards. The probability that she hits within the bullseye from 30 yards is 5/6, the probability that she hits within the bullseye from 40 yards is 4/5, and the probability that she hits within the bullseye from 50 yards is 3/4. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.
Options:
(A) 104/105
(B) 119/120
(C) 139/140
(D) 9/10
(E) 14/15

[Assistant]
The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)
The probability that she misses all shots = (prob that she misses from 30 yards)*(prob that she misses from 40 yards)*(prob that she misses from 50 yards)
Prob that she misses from 30 yards = 1 - 5/6 = 1/6; Prob that she misses from 40 yards = 1 - 4/5 = 1/5; Prob that she misses from 50 yards = 1 - 3/4 = 1/4
Thus the probability that she misses all shots = (1/6)*(1/5)*(1/4) = 1/120
Thus the probability that she makes at least one shot = 1 - (1/120) = 119/120
The answer: (B).


[User]
q: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 175kg then find the average weight of all the 7 rounds?
Options:
(A) 100 kgs
(B) 88.5 kgs
(C) 86.5 kgs
(D) 67.5 kgs
(E) 88.2 kgs
a: Stream of consciousness: Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 175/7 = 100 kgs The answer is (A).

question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Options:
(A) 41
(B) 43
(C) 31
(D) 84
(E) 81
answer: Stream of consciousness: (1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12
Work done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48
Remaining work = 1 - 7/48 = 41/48
Work done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48
Therefore, Number of boys required = ((41/48) x 48) = 41 The answer is (A).

q: Rectangular tile each of size 60cm by 56cm must be laid horizontally on a rectangular floor of size 560cm by 240cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Options:
(A) 50
(B) 54
(C) 47
(D) 40
(E) 45
a: Stream of consciousness: Area of tile = 60*56 = 3360
Area of floor = 560*240 = 134400
No of tiles = 134400/3360 = 40
So, the no of tile = 40 The answer is (D).

question: A certain league has two divisions. The respective divisions had 11 and 13 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?
Options:
(A)  41
(B)  42
(C)  45
(D)  47
(E)  49
answer: Stream of consciousness: Overall, there can be 47 minuses. Tus, it is The answer is (D).

q: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 23 inches, how many inches of framing material does the carpenter need to frame the painting?
Options:
(A) 12
(B) 22 1/2
(C) 37 1/2
(D) 50
(E) 29
a: Stream of consciousness: (23/2) ( 2+3) * 2 = 29 = The answer is (E).

q: There are a total of 15 numbers with an average of 11. The average of first seven numbers is 14 and the average of last seven numbers is 6. What is the middle number?
Options:
(A) 31
(B) 24
(C) 29
(D) 25
(E) 21
a:

[Assistant]
Stream of consciousness: The total of 15 numbers = 15X11 = 165
The total of first 7 and last 7 numbers is = 7 X 14+7 X 6 = 140
So, the middle number is (165 - 140 ) = 25 The answer is (D).


[User]
The average of four results is 222 and that of the first three is 219. The fourth result is?
Options:
(A) 231
(B) 201
(C) 85
(D) 192
(E) 215 Now, let's think a bit. Some random thoughts:

[Assistant]
4 * 222 â€“ 3 * 219 = 231
The final answer: (A).


[User]
Question: Two trains are moving at 75 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 6/29 sec
(B) 7 1/7 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/19 sec
Answer: 70 + 75 = 145 * 5/18 = 725/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/725 = 180/29 = 6 6/29 sec
The answer is (A).

Question: In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?
Options:
(A) 70
(B) 50
(C) 40
(D) 20
(E) 30
Answer: 16+31+23 = 70
100-70 = 30
The answer is (E).

Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Options:
(A) 6 2/3%
(B) 6 2/8%
(C) 6 9/3%
(D) 6 2/3%
(E) 6 2/1%
Answer: 4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3%
The answer is (A).

Question: A wheel rotates 15 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 6 metre
(B) 12 metre
(C) 120 metre
(D) 315 metre
(E) 130 metre
Answer:

[Assistant]
Number of times wheel moves in 1 hour = 15 * 60 = 900
:. Distance moves = (900 *35) cms = 31500 cms
In metres = 315 metre
The answer is (D).


[User]
Let the second number be 3x, so that the first number is 6x and the third number is 2x.
Options:
(A) 22
(B) 77
(C) 98
(D) 27
(E) 36 Now, let's think a bit. Some random thoughts:

[Assistant]
∴ 6x + 3x + 2x = 132 ⇒ x = 12. Second number = 3x = 3×12 = 36.
The final answer: (E).


[User]
question: A train running at the speed of 90 km/hr crosses a pole in 10 seconds. Find the length of the train.
Options:
(A) 150
(B) 180
(C) 250
(D) 200
(E) 225
answer: Stream of consciousness: Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train (Distance) = Speed * Time
25 *10 = 250 meter The answer is (C).

q: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 23. What is the middle number?
Options:
(A) 25
(B) 27
(C) 15
(D) 32
(E) 34
a: Stream of consciousness: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 23 = 111
So, the middle number is (126 - 111 ) = 15 The answer is (C).

question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 17 1/7 days
(B) 17 1/8 days
(C) 17 5/7 days
(D) 17 3/7 days
(E) 13 1/7 days
answer: Stream of consciousness: 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days The answer is (A).

q: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 2700, then his salary per month in rupees is:
Options:
(A) 4000
(B) 6000
(C) 18000
(D) 10000
(E) None of these
a: Stream of consciousness: Total expenditure = 40 + 25 + 15 + 5 = 85%
Saving = (100 - 85) = 15%
15/100 × Salary = 2700, Salary = 18000 Rs. The answer is (C).

question: If P(A) = 2/15, P(B) = 4/15, and P(A âˆª B) = 11/15 Find P(A|B)
Options:
(A) 11/4
(B) 2/3
(C) 3/2
(D) 4/5
(E) 4/7
answer: Stream of consciousness: P(A|B) = P(A âˆª B)/P(B)
P(A|B) = (11/15)/(4/15) = 11/4. The answer is (A).

question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/8 %
(B) 22 3/2 %
(C) 28 1/2 %
(D) 22 1/2 %
(E) 32 1/2 %
answer:

[Assistant]
Stream of consciousness: 9 = (1*40*R)/100
R = 22 1/2 % The answer is (D).


[User]
q: If soundharya rows 49 km upstream and 77 km down steam taking 7 hours each, then the speed of the stream
Options:
(A) 6 kmph
(B) 5 kmph
(C) 2 kmph
(D) 3 kmph
(E) 4 kmph
a: Stream of consciousness: Speed upstream = 49/7 = 7 kmph
Speed down stream = 77/7 = 11kmph
Speed of stream = ½ (11-7) = 2 kmph The answer is (C).
--
q: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 10 (B + G) is ?
Options:
(A) Equal to 3
(B) Less than 3
(C) More than 3
(D) Less than 1/3
(E) none of these
a: Stream of consciousness: Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
10(B + G) = 10[(x/y) + (y/x)] = 10[(x2 + y2)/xy] > 10 The answer is (E).
--
q: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
Options:
(A) 6/17
(B) 6/11
(C) 6/18
(D) 6/19
(E) 6/10
a:

[Assistant]
Stream of consciousness: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by C in 3 minutes = 3/10
Required ratio = 3/10 * 20/11 = 6/11 The answer is (B).
--


[User]
John makes $40 a week from his job. He earns a raise and now makes $80 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 17.9%
(D) 18.12%
(E) 100%
Answer and stream of consciousness: (E)
Stream of consciousness: Increase = (40/40)*100 = (1)*100 = 100%.

A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 180/63 days
(B) 160/13 days
(C) 180/13 days
(D) 680/13 days
(E) 180/63 days
Answer and stream of consciousness: (C)
Stream of consciousness: One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days.

If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 60 percent to salaries, what fraction of its budget remains for other allocations?
Options:
(A) 4/5
(B) 3/5
(C) 3/20
(D) 1/5
(E) 1/10
Answer and stream of consciousness: (C)
Stream of consciousness: 15 + 10 + 60 = 85% 100 - 85 = 15% to all others

CMM, EOO, GQQ, _____, KUU
Options:
(A) MSQ
(B) IPS
(C) IIS
(D) ISS
(E) POL
Answer and stream of consciousness:

[Assistant]
(D)
Stream of consciousness: The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U.


[User]
Some question: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2356
(B) 3454
(C) 4656
(D) 3456
(E) 5184
Some stream of consciousness:

[Assistant]
Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer: (E).


[User]
Q: There are 3 teams each with 8 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
Options:
(A) 50
(B) 23
(C) 192
(D) 28
(E) 45 Let's give some random thoughts before answering.

[Assistant]
There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 64 possibilities (8*8) since each team has 8 players. So there are a total of 192 possibilities (64*3). I hope this method is easier for you to understand.
Therefore, the answer is (C).


[User]
Question: Ravi can do a piece of work in 11 days while Prakash can do it in 22 days. In how many days will they finish it together?
Options:
(A) 5 7/3 days
(B) 7 1/3days
(C) 5 1/9 days
(D) 5 7/3 days
(E) 4 7/9 days Let's think first. Some random reasoning:

[Assistant]
1/11 + 1/22 = 3/22
22/3 = 7 1/3 days The final answer: (B).


[User]
q: There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
Options:
(A) 40
(B) 46
(C) 50
(D) 55
(E) 60
a: Stream of consciousness: 8C3 [Select any four] -5C3 [Select all hard backs] = 46 The answer is (B).

question: Two trains are moving at 90 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) 42/5 sec
(B) 45/8 sec
(C) 40/6 sec
(D) 37/6 sec
(E) 42/4 sec
answer: Stream of consciousness: 70 + 90 = 150 * 5/18 = 400/9 mps
D = 150 + 100 = 250 m
T = 250 * 9/400 = 45/8 sec The answer is (B).

q: A bag contains 3 red and 2 black ball. Another bag contains 4 red and 5 black balls. A ball is drawn from the first bag and is placed in the second. A ball is then drawn from the second. What is the probability that this draw of red ball is due to the drawing of red ball from the first bag ?
Options:
(A) 3/5
(B) 2/5
(C) 4/25
(D) 3/10
(E) 15/23
a: Stream of consciousness: Probability of getting red ball from bag1 and then red from bag 2 = 3/5*5/10 = 15/50
Probability of getting black ball from bag1 and then red from bag 2 = 2/5*4/10 = 8/50
Now comes the condition, hence apply conditional probability:
P(Red)/ P(Red + Black)
(15/50)/(15/50+8/50) = 15/50 /23/50 = 15/23. The answer is (E).

question: If P(A) = 2/15, P(B) = 7/15, and P(A âˆª B) = 16/15 Find P(A|B)
Options:
(A) 1/2
(B) 16/7
(C) 3/2
(D) 4/5
(E) 4/7
answer: Stream of consciousness: P(A|B) = P(A âˆª B)/P(B)
P(A|B) = (16/15)/(7/15) = 16/7. The answer is (B).

q: If a man can cover 32 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 118 km
(B) 162 km
(C) 1767 km
(D) 432 km
(E) 177 km
a: Stream of consciousness: 32 m/s = 32 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 32 * 18/5 * 15/4 km = 432 km. The answer is (D).

q: There are 5 sweets - Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i) Ladu not eaten on monday
(ii) If Jamun is eaten on Monday, Ladu should be eaten on friday.
(iii) Peda is eaten the day following the day of eating Jilebi
(iv) If Ladu eaten on tuesday, kaju should be eaten on monday
based on above, peda can be eaten on any day except
Options:
(A) monday
(B) tuesday
(C) tuWesday
(D) wednesday
(E) friday
a:

[Assistant] Stream of consciousness: From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday. The answer is (A).


[User]
question: A man purchased 3 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) 288
(B) 299
(C) 266
(D) 450
(E) 291
answer: Stream of consciousness: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450 The answer is (D).

q: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Options:
(A) 120 gallons
(B) 200 gallons
(C) 170 gallons
(D) 180 gallons
(E) 250 gallons
a: Stream of consciousness: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40
Volume of 1/40 part = 3 gallons\
Volume of whole = 3 * 40 = 120 gallons. The answer is (A).

question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds. What is the length of the platform in meters?
Options:
(A) 240 meters
(B) 360 meters
(C) 300 meters
(D) 600 meters
(E) Cannot be determined
answer: Stream of consciousness: Speed of the train in metres/sec = 72000/3600 = 20
Distance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform
Distance travelled by train to cross the man = 15 * 20 = 300 = Length of train
Length of platform = 600 - 300 = 300 The answer is (C).

q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Options:
(A) 2287
(B) 2689
(C) 1667
(D) 8112
(E) 1691
a: Stream of consciousness: A = 7500(26/25)2 = 8112 The answer is (D).

question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 7 kmph
(B) 5 kmph
(C) 3 kmph
(D) 8 kmph
(E) 2 kmph
answer: Stream of consciousness: Speed downstream = d/t = 85/(2 1/2) = 34 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (34 - 18)/2 = 8 kmph The answer is (D).

question: The average of nine numbers is 15. The average of first four numbers is 11 and the average of last four numbers is 14. What is the middle number?
Options:
(A) 19
(B) 20
(C) 35
(D) 31
(E) 27
answer:

[Assistant]
Stream of consciousness: The total of nine numbers = 9X15 = 135
The total of first 4 and last 4 numbers is = 4 X 11+4 X 14 = 100
So, the middle number is (135 - 100 ) = 35 The answer is (C).


[User]
question: If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =
Options:
(A)  1155
(B)  2310
(C)  4620
(D)  30030
(E)  60060
answer: Stream of consciousness: The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2 = 2310. The answer is (B).

q: On 8th Feb, 1995 it was Wednesday. The day of the week on 8th Feb, 1994 was
Options:
(A) wednesday
(B) Tuesday
(C) Thursday
(D) Friday
(E) None
a: Stream of consciousness: 1994 being an ordinary year, it has 1 odd day. So, the day on 8th Feb, 1995 is one day beyond the day on 8th Feb, 1994. But, 8th Feb, 1995 was Wednesday. 8th Feb, 1994 was Tuesday. The answer is (B).

question: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
Options:
(A) 9 3/8 days
(B) 4 2/8 days
(C) 17 9/8 days
(D) 12 7/8 days
(E) 16 9/8 days
answer: Stream of consciousness: 1/15 + 1/25 = 8/75
75/8 = 9 3/8 days The answer is (A).

q: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40
(B) 99
(C) 77
(D) 66
(E) 32
a: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec The answer is (A).

question: If P(32, 6) = kC (32, 6), then what is the value of k?
Options:
(A) 6
(B) 32
(C) 120
(D) 720
(E) None
answer: Stream of consciousness: Since 32P6 = k32C6
⇒ 32/ ( 32-6 ) = k(32/ ( 32-6 )
⇒k = 6! = 720 The answer is (D).

question: A single discount equivalent to the discount series of 20%, 10% and 25% is?
Options:
(A) 31.9
(B) 31.7
(C) 31.6
(D) 31.5
(E) 46
answer:

[Assistant]
Stream of consciousness: 100*(80/100)*(90/100)*(75/100) = 54
100 - 54 = 46 The answer is (E).


[User]
q: How much 45% of 60 is greater than 35% of 40?
Options:
(A) 18
(B) 13
(C) 15
(D) 17
(E) 71
a: Stream of consciousness: (45/100) * 60 – (35/100) * 40
27 - 14 = 13 The answer is (B).

question: The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 9600
(C) 1000
(D) 10000
(E) 2887
answer: Stream of consciousness: 100 * 100 = 10000
120 * 80 = 9600 The answer is (B).

q: Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 420 pastries ?
Options:
(A) 2 hours.
(B) 1 hours.
(C) 5 hours.
(D) 4 hours.
(E) 7 hours.
a: Stream of consciousness: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 420 pastries would take 420 ÷ 60 = 7 hours. The answer is (E).

question: John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
(A) 1
(B) 3
(C) 5
(D) 6
(E) 9
answer: Stream of consciousness: If he draws any combination of 3 socks he will definitely have the matching pair of either colour. The answer is (A).

q: 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 vowel, and each letter can be used only once?
Options:
(A) 20
(B) 40
(C) 120
(D) 60
(E) 10
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 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 1 ways = 40 The answer is (B).

q: A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 2.5 km long?
Options:
(A) 4
(B) 3
(C) 5
(D) 7
(E) 9
a:

[Assistant]
Stream of consciousness: D = 25 * 60 + 2500 = 4000 m
T = 4000/60 * 18/5 = 240 sec = 4 mins The answer is (A).


[User]
question: 4 buses runs between Chennai and Mysore. If a man goes from Chennai to Mysore by a bus and comes back to Mysore by another bus, then the total possible ways are
Options:
(A) 4
(B) 8
(C) 12
(D) 16
(E) None of these
answer: Stream of consciousness: Since the man can go in 4 ways and can back in 3 ways. Therefore total number of ways are 4 x3 = 12ways. The answer is (C).

q: Find the value of y from given equation: (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2568
(B) 3468
(C) 4500
(D) 4876
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).

question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder K when N is divided by 30?
Options:
(A) (a)  4
(B) (b)  7
(C) (c)  11
(D) (d)  13
(E) (e)  17
answer: Stream of consciousness: N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder K when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1. The answer is (C).

q: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 28
(C) 29
(D) 11
(E) 12
a: Stream of consciousness: (60/100) * 50 – (40/100) * 30
30 - 12 = 18 The answer is (A).

question: Guna has 8 flavors of ice cream in him parlor. How many options are there for Thilak to pick a one-flavor, two-flavor, three-flavor, four-flavor, five-flavor, six-flavor,seven-flavor or eight-flavor order?
Options:
(A) 223
(B) 395
(C) 448
(D) 774
(E) 835
answer: Stream of consciousness: 8C1 + 8C2+ 8C3+8C4+8C5+8C6+8C7+8C8 = 395. The answer is (B).

question: Find the value of y from (12)^3 x 6^ 4 ÷ 432 = y?
Options:
(A) 3456
(B) 4567
(C) 4789
(D) 5678
(E) y=5184
answer:

[Assistant]
Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72) 2 = 5184
432 12 x 62 The answer is (E).


[User]
Question: What should come in place of the question mark (?) in the following equation?
5978 + 6134 + 7014 = ?
Options:
(A) 19226
(B) 16226
(C) 19216
(D) 19126
(E) None of these Random thoughts:

[Assistant] ? = 5978 + 6134 + 7014 = 19126 The final answer: (D).


[User]
question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 80 as remainder. Find the no. is?
Options:
(A) 220880
(B) 145778
(C) 220081
(D) 220080
(E) 220030
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 80 = 220000 + 80 = 220080 The answer is (D).

q: The total number of problems in the mathematics and algebra books is 28 more than the total number of problems in the algebra and geometry books. How much lesser is the number of problems in the geometry book as compared to the mathematics book?
Options:
(A) 30
(B) 18
(C) 28
(D) 25
(E) 32
a: Stream of consciousness: (Mathematics + Algebra) - (Algebra + Geometry) = 28
Mathematics - Geometry = 28 The answer is (C).

question: Anitha had 80 currency notes in all, some of which are of Rs 95 denomination and the remaining of Rs 45 denomination. The total amount of all these currency notes was Rs. 4000. How much amount (in Rs) did she have in the denomination of Rs 45?
Options:
(A) 3500
(B) 72
(C) 2000
(D) 3000
(E) 4000
answer: Stream of consciousness: Let the number of 45-rupee notes = x
Then, the number of 95-rupee notes = (80 – x)
45x + 95(80 – x) = 4000 or x + 2(80 – x) = 95 or x = 72. The answer is (B).

q: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 2 days?
Options:
(A) 2/5
(B) 1/6
(C) 1/4
(D) 1/9
(E) 2/6
a: Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 2 days = 2 (1/18) = 1/9. The answer is (D).

question: A car has a 20-gallon fuel to travel 500 miles.At this rate, how many gallons of fuel are needed for a 1000 mile car ?
Options:
(A) 10
(B) 30
(C) 20
(D) 40
(E) 50
answer: Stream of consciousness: Number of gallons of fuel per mile = 500 /20 = 25 gallons per mile
Number of gallons of fuel for a 1000 mile car = 1000/25 = 40 The answer is (D).

question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 337
(B) 267
(C) 342
(D) 287
(E) 261
answer:

[Assistant] Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).


[User]
q: 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) 10
(B) 20
(C) 30
(D) 40
(E) 50
a: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 70 = 20 The answer is (B).

question: A football field is 9600 square yards. If 800 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Options:
(A) 450
(B) 600
(C) 750
(D) 2400
(E) 300
answer: Stream of consciousness: Answer E) 9600 yards need 1200 lbs
1 Yard will need 800/9600 = 1/12 lbs
3600 Yards will need 1/12* 3600 Yards = 300lbs The answer is (E).

q: If six persons sit in a row, then the probability that three particular persons are always together is?
Options:
(A) 1/9
(B) 1/6
(C) 1/5
(D) 1/2
(E) 1/3
a: Stream of consciousness: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The answer is (C).

question: Find the odd man out
74, 24, 82, 61, 10, 4
Options:
(A) 61
(B) 24
(C) 10
(D) 82
(E) 74
answer: Stream of consciousness: 61 is the only odd number in the series. The answer is (A).

q: Find the odd man out
1, 3, 7, 11, 15, 18, 21
Options:
(A) 3
(B) 7
(C) 18
(D) 21
(E) 1
a: Stream of consciousness: The 18 is the only even number in the series. The answer is (C).

q: The average of first 10 odd numbers is?
Options:
(A) 11
(B) 10
(C) 99
(D) 77
(E) 65
a:

[Assistant]
Stream of consciousness: Sum of 10 odd no. = 100
Average = 100/10 = 10 The answer is (B).


[User]
q: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 13
(B) 18
(C) 40
(D) 37
(E) 40
a: Stream of consciousness: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong. The answer is (C).

question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Options:
(A) 10
(B) 12
(C) 30
(D) 40
(E) 20
answer: Stream of consciousness: Dist = (100/45*9) = 20 m The answer is (E).

q: If 10 crates have 97 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 30
(B) 10
(C) 15
(D) 20
(E) 0
a: Stream of consciousness: Each crate requires 3 apples and totally there are 10 crates so required apples = 10 * 3 = 30 The answer is (A).

question: What number comes next in the following series? 4, 14, 44, 134, 404, ____
Options:
(A) 1204
(B) 1208
(C) 1214
(D) 1216
(E) 1220
answer: Stream of consciousness: 4
4 × 3 + 2 = 14
14 × 3 + 2 = 44
44 × 3 + 2 = 134
134 × 3 + 2 = 404
404 × 3 + 2 = 1214 The answer is (C).

q: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Options:
(A) 6 2/3%
(B) 6 2/8%
(C) 7 2/3%
(D) 6 5/3%
(E) 4 2/3%
a: Stream of consciousness: 4/9 P = (P*R*R)/100
R = 20/3 = 6 2/3% The answer is (A).

q: 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
a:

[Assistant] 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).


[User]
What percent is 120 of 80?
Options:
(A) 150 %
(B) 134 1/3 %
(C) 135 1/3 %
(D) 140 1/3 %
(E) 143 1/3 % Now, let's think a bit. Some random thoughts:

[Assistant]
120/80 = 3/2
3/2 × 100 = 300/2 = 150 %
The final answer: (A).


[User]
X can finish a work in 20 days. Y can finish the same work in 16 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 3
(C) 9
(D) 5
(E) 8 Now, let's think a bit. Some random thoughts:

[Assistant]
Work done by X in 1 day = 1/20
Work done by Y in 1 day = 1/16
Work done by Y in 12 days = 12/16 = 3/4
Remaining work = 1 – 3/4 = 1/4
Number of days in which X can finish the remaining work = (1/4) / (1/20) = 5
The final answer: (D).


[User]
Q: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Options:
(A) 22 1/8
(B) 22 1/2
(C) 22 1/1
(D) 22 1/5
(E) 22 1/9 Let's give some random thoughts before answering.

[Assistant]
1/18 + 1/30 = 8/90 = 4/45
45/4 = 11 ¼ *2 = 22 1/2 days
Therefore, the answer is (B).


[User]
A rectangular garden is 12m by 5m, what is its area?
Options:
(A) 12 square meters
(B) 5 square meters
(C) 44 square meters
(D) 60 square meters
(E) 22 square meters Hmmm, my stream of consciousness:

[Assistant]
Area of a Rectangle: A = w × h
D) 60 square meters So, the answer is (D).


[User]
In a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Options:
(A) 72
(B) 90
(C) 100
(D) 110
(E) 120 Now, let's think a bit. Some random thoughts:

[Assistant]
Diver = (4*3)+2 = 14
2* Quotient = 14
Quotient = 7
Dividend = (Divisor * Quotient) + Remainder
Dividend = (14 * 7) + 2 = 100
The final answer: (C).


[User]
Q: Find the odd man out 3, 5, 7, 12, 13, 17, 19
Options:
(A) 3
(B) 5
(C) 7
(D) 12
(E) 13 Let's give some random thoughts before answering.

[Assistant]
12 is an even number while the others are od
Therefore, the answer is (D).


[User]
Give a quick stream of consciousness before answering the following question. Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Options:
(A) 6 hours
(B) 8 hours
(C) 3 hours
(D) 9 hours
(E) 1 hours

[Assistant]
Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3
All the three pipes together will fill the tank in 3 hours.
The answer: (C).


[User]
Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Options:
(A) 4500 M3
(B) 27000 M3
(C) 3000 M3
(D) 2700 M3
(E) 3700 M3
Answer: (3000 * 2 * 5)/60 = 4500 M3
The answer is (A).

Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
Options:
(A) 22
(B) 77
(C) 26
(D) 41
(E) 66
Answer: (1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48
Remaining work = (1 - 7/48) = 41/48
Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48
Number of boys required = 41/48 * 41 = 41.
The answer is (D).

Question: A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Options:
(A) 1 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph
Answer: Speed downstream = d/t = 75/(2 1/2) = 30 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (30 - 18)/2 = 6 kmph
The answer is (B).

Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?
Options:
(A) 27
(B) 29
(C) 36
(D) 34
(E) 35
Answer:

[Assistant]
The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 16 = 90
So, the middle number is (126 - 90 ) = 36
The answer is (C).


[User]
Student: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
Options:
(A) 62/63
(B) 125/126
(C) 1/63
(D) 1/42
(E) 1/126.
Another student: Let's say, hmmm...

[Assistant]
Answer: Option E
Out of nine, five are good and four are defective. Required probability = â´câ‚„/â¹câ‚„ = 1/126 Final answer: (E).


[User]
Some 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) 49
(B) 88
(C) 25
(D) 18
(E) 11
Some stream of consciousness:

[Assistant]
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 The answer: (A).


[User]
question: The average of 21 numbers is 25. The average of first ten numbers is 18 and the average of last ten numbers is 32. What is the middle number?
Options:
(A) 195
(B) 175
(C) 184
(D) 201
(E) 188
answer: Stream of consciousness: The total of 21 numbers = 21X25 = 525
The total of first 10 and last 10 numbers is = 10 X 14+10 X 19 = 330
So, the middle number is (525 - 330 ) = 195 The answer is (A).

q: 3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 49%
(C) 54%
(D) 59%
(E) 61%
a: Stream of consciousness: Total number of votes polled = (2136 + 7636 + 11628) = 21260
So, Required percentage = 11628/21260 * 100 = 54% The answer is (C).

question: Two trains are moving at 50 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) 7 1/2 sec
(B) 7 1/7 sec
(C) 7 8/2 sec
(D) 7 1/9 sec
(E) 7 2/2 sec
answer: Stream of consciousness: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec The answer is (D).

q: In a division sum, the remainder is 8 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Options:
(A) 200
(B) 251
(C) 250
(D) 262
(E) 254
a: Stream of consciousness: Diver = (8*3)+3 = 27
3* Quotient = 27
Quotient = 9
Dividend = (Divisor * Quotient) + Remainder
Dividend = (27 * 9) + 8 = 251 The answer is (B).

question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 50%
(C) 57%
(D) 64%
(E) 78%
answer: Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).

question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Options:
(A) 5/9
(B) 5/12
(C) 1/36
(D) 7/12
(E) 4/9
answer:

[Assistant]
Stream of consciousness: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12 The answer is (B).


[User]
Give stream of consciousness and then the final answer. A 160 meter long train crosses a man standing on the platform in 16 sec. What is the speed of the train?
Options:
(A) 36 kmph
(B) 54 kmph
(C) 92 kmph
(D) 86 kmph
(E) 76 kmph

[Assistant]
S = 160/16 * 18/5 = 36 kmph
The final answer: (A).


[User]
If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?
Options:
(A) $10
(B) $20
(C) $30
(D) $40
(E) $50 Stream of consciousness:

[Assistant]
Five friends amount increased by $10 and Raj shared equally so amount = 5 * 10 = 50
Thus, the answer is (E).


[User]
question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.150. Find the unknown rate of two towels?
Options:
(A) 400
(B) 450
(C) 500
(D) 550
(E) 600
answer: Stream of consciousness: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450 The answer is (B).

q: The number N is 5,H48, where H represents the hundred's digit. If N is divisible by 11, what is the value of H
Options:
(A) 1
(B) 7
(C) 6
(D) 5
(E) 2
a: Stream of consciousness: If the number is divisible by 11, then the alternate digits' sum must be divisible by 11 or difference is 0. Only 1 yields such a number. The answer is (A).

question: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?
Options:
(A) 220060
(B) 145778
(C) 220050
(D) 220800
(E) 220030
answer: Stream of consciousness: (555 + 445) * 2 * 110 + 50 = 220000 + 50 = 220050 The answer is (C).

q: There are 24 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?
Options:
(A) 39
(B) 40
(C) 51
(D) 58
(E) 63
a: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 24 + 28 - 12 = 40. The answer is (B).

question: If f(x) = x^4/(x^4 - 1), what is f(1/x) in terms of f(x)?
Options:
(A) f(x)
(B) 1/-f(x)
(C) -2/-f(x)
(D) -3/-f(x)
(E) -f(x)
answer: Stream of consciousness: If x = 2 then f(x) = 16/15 and f(1/x) = -16/15 which is equal to -f(x) The answer is (E).

question: Solve:-
333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 889
answer:

[Assistant] Stream of consciousness: Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2) The answer is (A).


[User]
q: Look at this series: 53, 53, 48, 48, 43, 43, ... What number should come next?
Options:
(A) A) 12
(B) B) 14
(C) C) 38
(D) D) 53
(E) E) 86
a: In this series, each number is repeated, then 5 is subtracted to arrive at the next number. The answer is (C).
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q: A tyre has two punctures. The first puncture along would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?
Options:
(A) 1 1⁄2 minutes
(B) 3 1⁄2 minutes
(C) 3 3⁄5 minutes
(D) 4 1⁄4 minutes
(E) None of these
a: 1 minute’s work of both the punctures = (1⁄9 + 1⁄6) = 5⁄18
So, both the punctures will make the tyre flat in 18⁄5 = 33⁄5 min. The answer is (C).
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q: Jamie's friend Bob is having a party, but Jamie forgot and went to dinner with her friend Emily instead. Bob's party starts in half an hour. Bob lives 30 km away from Jamie, and the restaurant Jamie and Emily are at is three times as far away from Bob's house as Jamie's house is.
How fast would Jamie have to drive in order to get to Bob's party on time?
Options:
(A) 30 km/h
(B) 45 km/h
(C) 60 km/h
(D) 75 km/h
(E) 90 km/h
a: Distance between Bob's house and Jamie's restaurant: 30 x 3 = 90 km
Rate of speed to get to Bob's house in an hour: 90 x 1 = 90 km/h
Rate of speed to get to Bob's house in half an hour: 90/2 = 45 km/h The answer is (B).
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q: The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 2500 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Options:
(A) 29997
(B) 28088
(C) 27098
(D) 37500
(E) 2799
a:

[Assistant]
Money paid in cash = Rs. 2500
Balance payment = (40000- 2500) = Rs. 37500. The answer is (D).
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