[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).

question: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
answer: Stream of consciousness: P(1 + 20/100)n > 2P or (6/5)n > 2
Now, (6/5 * 6/5 * 6/5 * 6/5) > 2. So, n = 4 years. The answer is (B).

q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
Options:
(A) 267
(B) 766
(C) 810
(D) 868
(E) 812
a: Stream of consciousness: 12 men 120 acres 36 days
54 men ? 54 days
120 * 54/12 * 54/36
10 * 54 * 3/2
54 * 15 = 810 The answer is (C).

question: The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 70, 50 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 20, 60 kmph
answer: Stream of consciousness: Speed downstream = 60 + 10 = 70 kmph
Speed upstream = 60 - 10 = 50 kmph The answer is (B).

q: Find the odd man out
4, 9,16, 36, 64, 144
Options:
(A) 144
(B) 16
(C) 9
(D) 36
(E) 4
a: Stream of consciousness: 9 is square of 3 which is odd number where as all others are squares of even numbers. The answer is (C).

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

[Assistant] Stream of consciousness: 6a2 = 6 * 6a * 6a = 216a2 The answer is (E).


[User]
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 Think first, then make a decision. Some random thoughts:

[Assistant] 8C3 [Select any four] -5C3 [Select all hard backs] = 46 So the answer is (B).


[User]
q: A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 12 km, if he completes half of the distance, i.e., (6) km on foot and the other half by running?
Options:
(A) 2.6
(B) 2.2
(C) 2.5
(D) 2
(E) 3
a: Stream of consciousness: Required time = (6)/3 + (6)/6 = 3 hours. The answer is (E).

question: How many prime numbers between 1 and 100 are factors of 7150?
Options:
(A) 238
(B) 100
(C) 299
(D) 270
(E) 111
answer: Stream of consciousness: Ans: 7, 150 = 2×52×11×13
So there are 4 distinct prime numbers that are below 100 The answer is (B).

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) 20
(B) 40
(C) 45
(D) 25
(E) 60
a: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 70 = 20 The answer is (A).

question: The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?
Options:
(A) A) 200
(B) B) 2000
(C) C) 800
(D) D) 2100
(E) E) 1100
answer: Stream of consciousness: The total of ten numbers = 10X210 = 2100
The total of first 5 and last 4 numbers is = 5 X 40+4 X 200 = 1000
So, the middle number is (2100 - 1000 ) = 1100 The answer is (E).

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) 47%
(C) 57%
(D) 60%
(E) 62%
a: 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 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.165. Find the unknown rate of two towels?
Options:
(A) A) 400
(B) B) 450
(C) C) 500
(D) D) 550
(E) E) 600
a:

[Assistant]
Stream of consciousness: 10 * 150 = 1650
3 * 100 + 5 * 150 = 1050
1650 – 1050 = 600 The answer is (E).


[User]
The pilot of a small aircraft uses 60 gallons of fuel to fly 300 miles. At this rate, how many gallons of fuel are needed for a 700 mile flight?
Options:
(A) 140
(B) 155
(C) 160
(D) 170
(E) 175
--
Number of gallons of fuel per mile = 300 /60 = 5 gallons per mile
Number of gallons of fuel for a 700 mile flight = 700/5 = 140 So the answer is: (A).
-----
The average age of applicants for a new job is 32, 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) 77
(C) 7
(D) 18
(E) 34
--
Minimum age = Average - 1 Standard deviation = 32 - 8 = 24
Maximum age = average + 1 Standard deviation = 32+ 8 = 40
Maximum number of different ages of the applicants = 30 - 24 + 1 = 7 So the answer is: (C).
-----
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
--

[Assistant]
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. So the answer is: (D).
-----


[User]
q: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 54 sec
(B) 65 sec
(C) 25 sec
(D) 45 sec
(E) 24 sec
a: OK... D = 100 + 150 = 250
S = 36 * 5/18 = 10 mps
T = 250/10 = 25 se
The answer is (C).

q: Two trains are moving at 40 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) 41/2 sec
(B) 5/2 sec
(C) 61/2 sec
(D) 71/6 sec
(E) 49/6 sec
a: OK... 70 + 40 = 110 * 5/18 = 275/9mps
D = 150 + 100 = 250 m
T = 250 * 9/275 = 49/6 sec
The answer is (E).

q: Solve:-
222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)
Options:
(A) 888
(B) 333
(C) 555
(D) 988
(E) 777
a:

[Assistant]
OK... Given Exp. = (a3 + b3) = (a + b) = (222 + 555) = 777(a2 - ab + b2)
The answer is (E).


[User]
question: What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?
Options:
(A) 0%
(B) 20% increase
(C) 36% decrease
(D) 1% decrease
(E) Insufficient data
answer: Stream of consciousness: (16/10)*(4/10) = 64/100 of original area
64/100 is a 36% decrease from 100/100 -> The answer is (C).

q: A train 510 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) 52
(C) 26
(D) 21
(E) 14
a: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 510 + 140 = 650 m
Required time = 650 * 2/25 = 52 sec The answer is (B).

question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 4 sec
(B) 16 sec
(C) 6 sec
(D) 20 sec
(E) 8 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 70 * 2/35 = 16 sec The answer is (A).

q: In f is a positive integer smaller than 200 and (14f)/60 is an integer, then f has how many different positive prime factors?
Options:
(A) 2
(B) 3
(C) 5
(D) 6
(E) 8
a: Stream of consciousness: 7f/30 tells us that f is a factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3. The answer is (B).

question: How much is 80% of 40 is greater than 4/5 of 25?
Options:
(A) 22
(B) 67
(C) 88
(D) 12
(E) 66
answer: Stream of consciousness: (80/100) * 40 – (4/5) * 25
32 - 20 = 12 The answer is (D).

question: 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
answer:

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


[User]
q: If the given two numbers are respectively 7% and 28% 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: Stream of consciousness: Here, l = 7 and m = 28
Therefore, first number = l/m x 100% of second number = 7/28 x 100% of second number = 25% of second number The answer is (B).

question: A, B and C can do a work in 7 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Options:
(A) 2 50/59
(B) 2 5/59
(C) 2 2/50
(D) 2 2/59
(E) 2 1/59
answer: Stream of consciousness: Work done by all three of them in one day = 1/7 + 1/8 + 1/12 = 59/168
The number of days required = 168/59 = 2 50/59 days. The answer is (A).

q: Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next?
Options:
(A) A) 23
(B) B) 14
(C) C) 27
(D) D) 53
(E) E) 86
a: Stream of consciousness: In this series, each number is repeated, then 10 is subtracted to arrive at the next number. The answer is (A).

question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 700 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 511
(B) 546
(C) 552
(D) 562
(E) 570
answer: Stream of consciousness: Number of newborns that can die in first month = 1/10 * 700 = 70
Survived = 630
Number of newborns that can die in second month = 1/10 * 630 = 63
Survived = 567
Number of newborns that can die in third month = 1/10 * 567 = 56
Survived = 511 The answer is (A).

q: Divide Rs.32000 in the ratio 3:3?
Options:
(A) 12000, 20000
(B) 12000, 200098
(C) 16000, 16000
(D) 12000, 20006
(E) 12000, 20001
a: Stream of consciousness: 3/6 * 32000 = 16000
5/6 * 32000 = 16000 The answer is (C).

q: The average of seven numbers is 22. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 25
(B) 27
(C) 29
(D) 32
(E) 55
a:

[Assistant]
Stream of consciousness: The total of seven numbers = 7X22 = 154
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (154 - 99 ) = 55 The answer is (E).


[User]
q: A 600 meter long train crosses a signal post in 30 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 2 min
(C) 8 min
(D) 3 min
(E) 5 min
a: Stream of consciousness: S = 600/30 = 20 mps
S = 3600/20 = 180 sec = 4 min The answer is (D).

question: Look at this series: 0.7, 2.1, ____, 18.9, 56.7, ... What number should fill the blank?
Options:
(A) 6.3
(B) 5.3
(C) 6.2
(D) 6.1
(E) 4.3
answer: Stream of consciousness: This is a simple multiplication series. Each number is 3 times greater than the previous number. The answer is (A).

q: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 2
(B) 3
(C) 6
(D) 8
(E) 9
a: Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6 The answer is (C).

question: At a meeting of the 8 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 8 Chiefs of Staff be seated around a circular table?
Options:
(A) 120
(B) 480
(C) 960
(D) 2520
(E) 5080
answer: Stream of consciousness: Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (5080), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect? The answer is (E).

q: In 2005, 30 percent of the math department’s 40 students were female, and in 2007, 40 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Options:
(A) 15%
(B) 116%
(C) 136%
(D) 155%
(E) 160%
a: Stream of consciousness: Female students in 2005 = 30% of 40 = 12
Female students in 2007 = 40% of 65 = 26
Percentage increase = [(26 - 12)/12] *100 % = 116% The answer is (B).

q: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
(A) 2178
(B) 1087
(C) 2800
(D) 2689
(E) 2081
a:

[Assistant]
Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 – 5x/100 = 144
2x/100 = 56 è x = 2800 The answer is (C).


[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: Stream of consciousness: 44 + 28 + 10 = 82%
100 – 82 = 18%
450 * 18/100 = 81 The answer is (D).

question: In a school of 400 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 41
(B) 63
(C) 72
(D) 63
(E) 50
answer: Stream of consciousness: 44 + 28 + 10 = 82%
100 – 82 = 18%
400 * 18/100 = 72 The answer is (C).

q: Two pipes A and B can fill a cistern in 15 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) 17 1/4 min
(B) 28 1/7 min
(C) 17 1/7 min
(D) 13 3/7 min
(E) 17 5/7 min
a: Stream of consciousness: 1/15 + 1/30 - 1/40 = 9/120
120/9 = 13 3/7 The answer is (D).

question: (998-1)(998-2)(998-3)........(998-n)=....... when n>1000
Options:
(A) 4
(B) 3
(C) 2
(D) 1
(E) 0
answer: Stream of consciousness: The term (998-998) makes the whole expression = 0. The answer is (E).

q: Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?
Options:
(A) 32
(B) 77
(C) 279
(D) 27
(E) 91
a: Stream of consciousness: Total five rounds were run. So in the final round 2 teams must have participated. In the penultimate round 4 teams, and 3rd round 8, 2nd round 16 and in the first round 32 teams must have participated as in each round half of the teams got eliminated. The answer is (A).

q: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 4 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
a:

[Assistant]
Stream of consciousness: 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 The answer is (D).


[User]
Q: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 39
(B) 27
(C) 30
(D) 26
(E) 29
A: OK... Stream of consciousness: 20 + 24 + 8 * 2 = 60/2 = 30
The answer is (C).

Q: Which oif the following is a prime number?
Options:
(A) 45
(B) 39
(C) 27
(D) 33
(E) 31
A: OK... Stream of consciousness: Clearly, 31 is a prime number. So choice E is correct.
The answer is (E).

Q: A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?
Options:
(A) 6 days
(B) 2 days
(C) 8 days
(D) 4 1/5 days
(E) 9 days
A: OK... Stream of consciousness: Work done by A in 3 days = 3/10
Remaining work = 7/10
Work done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6
Remaining work = 7/10 * 6/1 = 21/5 = 4 1/5 days.
The answer is (D).

Q: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). The temperature to boil water at sea level altitude and to boil on top of Mt. Everest differed by 15 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?
Options:
(A) a)  65/9
(B) b) 7
(C) c)  25
(D) d)  45
(E) e)  81
A:

[Assistant]
OK... Stream of consciousness: The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 15. The other answer choices are too far apart so no need to calculate.
The answer is (B).


[User]
The difference between the local value and the face value of 7 in the numeral 32675149 is
Options:
(A) 69950
(B) 69993
(C) 69997
(D) 70000
(E) 01000 Think first, then make a decision. Some random thoughts:

[Assistant] (Local value of 7) - (Face value of 7) = (70000 - 7) = 69993 So the answer is (B).


[User]
question: If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is =
Options:
(A)  40320
(B)  27720
(C)  20160
(D)  6720
(E)  2520
answer: Stream of consciousness: The integer should be divisible by: 4, 5, 6, 7, 8, 9, 10, 11 and 12, that is 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 3*2^2. The least common multiple of these integers is the product of 11, 7, 5, 3^2 and 2^3. Then, M/11 is (11 * 7 * 5 * 3^2 * 2^3)/11 = 7*5*9*8 = 2520. The answer is (E).

q: In what time will a cart 50 m long cross, if its speed be 36 km/hr?
Options:
(A) 25
(B) 5
(C) 15
(D) 20
(E) 30
a: Stream of consciousness: Speed = 36 * 5/18 = 10 m/sec
Time taken = 50/10 = 5 sec. The answer is (B).

question: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 6 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
Options:
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.
answer: Stream of consciousness: Total boxes = 23
Filled with toys = 16
Filled with appliance = 7
Total boxes for sale = 8
Toy boxes for sale = 6
Appliance boxes for sale = 2
Appliance boxes not for sale = 7 - 2 = 5 The answer is (E).

q: A corporation triples its annual bonus to 50 of its employees. What percent E of the employees’ new bonus is the increase?
Options:
(A) 50%
(B) 662⁄3%
(C) 100%
(D) 200%
(E) 300%
a: Stream of consciousness: E of the employees’ new bonus is the increase Hence The answer is (B).

question: Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.
Options:
(A) a2 + 5ab + 6b2
(B) (a + 3b) (a + 2b)
(C) a(a + 3b)  + 2b(a + 3b)
(D) (3a + b) (a + 2b)
(E) a(a + 2b)  + 3b(a + 2b)
answer: Stream of consciousness: The other parts are equal to a2 + 5ab + 6b2. The answer is (D).

question: There are different 5 circles. What is the number of the greatest possible points with which the circles intersect?
Options:
(A) 20
(B) 10
(C) 15
(D) 22
(E) 21
answer:

[Assistant] Stream of consciousness: Maximum points of intersection between n different circles = n*(n - 1) = 5*4 = 20 The answer is (A).


[User]
q: A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is
Options:
(A) 124 Kms
(B) 134 Kms
(C) 144 Kms
(D) 244 Kms
(E) None of the above
a: OK... (1-(3/4))(1-(2/3)of distance = 12 km
(1/12) of distance = 12 km
Hence distance = 144 km
The answer is (C).

q: The average of first 16 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 11
(E) 17
a: OK... Sum of 16 even numbers = 16 * 17 = 272
Average = 272/16 = 17
The answer is (E).

q: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 27
(C) 26
(D) 29
(E) 21
a:

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


[User]
A wheel rotates 20 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?
Options:
(A) 4 metre
(B) 12 metre
(C) 240 metre
(D) 2400 metre
(E) 130 metre Stream of consciousness:

[Assistant]
Number of times wheel moves in 1 hour = 20 * 60 = 1200
:. Distance moves = (1200*20) cms = 24000 cms
In metres = 240 metre
Thus, the answer is (C).


[User]
Jade has 4 flavors of ice cream in his parlor. How many options are there for James to pick a one-flavor, two-flavor, three-flavor or four-flavor order?
Options:
(A) 15
(B) 13
(C) 14
(D) 17
(E) 18
--
4C1 + 4C2+ 4C3+4C4 = 15. So the answer is: (A).
-----
Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Options:
(A) 19
(B) 28
(C) 30
(D) 32
(E) 44
--
Using Speed Formula: Speed = Distance / Time
Distance to be covered = 51-11 = 40
Speed of approach = 57 + 63 floors/min
Time = 40/120 = 1/3
So Steve will cover 57x 1/3 floors in that time = 19
So he will be in 19 + 11 floor = 30th Floor So the answer is: (C).
-----
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.
--

[Assistant]
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 So the answer is: (D).
-----


[User]
q: In how many different ways can the letters of the word "NEGLIGENCE" be rearrangement?
Options:
(A) 3628800
(B) 3628800
(C) 3628812
(D) 3428800
(E) 3368800
a: Stream of consciousness: Option 'B'
The total number of arrangements is
10P10 = 10! = 3628800 The answer is (B).

question: 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
answer: Stream of consciousness: 1/18 + 1/30 = 8/90 = 4/45
45/4 = 11 ¼ *2 = 22 1/2 days The answer is (B).

q: By how much is 70% of 120 greater than 35% of 200.
Options:
(A) 15
(B) 14
(C) 13
(D) 16
(E) 17
a: Stream of consciousness: (70/100) * 120 â€“ (35/100) * 200
84 - 70 = 14 The answer is (B).

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: A train of 24 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 1.3 km long?
Options:
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 168 sec
(D) 344 sec
(E) 2 mins 44 sec
a: Stream of consciousness: D = 25 * 60 + 1300 = 2800 m
T = 2800/60 * 18/5 = 168 se The answer is (C).

q: A plane flies 500 miles at a speed of r mph. If the plane flies at a speed of r + 250 miles per hour, it would fly the same distance in 1 hour less. What is the value of r?
Options:
(A) 250 mph
(B) 200 mph
(C) 205 mph
(D) 300 mph
(E) 425 mph
a:

[Assistant]
Stream of consciousness: Equation: 500/r = 500/(r+50) + 1
Plug options into the equation
A fits: 500/250 = 500/(250+250) + 1 The answer is (A).


[User]
q: Which of the following is not divisible by 6?
Options:
(A) 10032
(B) 21192
(C) 47816
(D) 91232
(E) 72031
a: Stream of consciousness: Divisibility rule of 6: Number must be divisible by both 2 and 3
Option A: 10032, Divisible by 2. Hence divisible by 6
Option B: 21192, Divisible by 2 & 3. Hence divisible by 6
Option C: 47816, Divisible by 2. Hence divisible by 6
Option D: 91232, Divisible by 2. Hence divisible by 6
Option E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6 The answer is (E).

question: How many digits are in the number 50^8 × 8^3 × 11?
Options:
(A) 18
(B) 20
(C) 19
(D) 22
(E) 17
answer: Stream of consciousness: Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10
50^8 × 8^3 × 11 = (5^2*2)^8*2^9*11 = 5^16*2^17*11 = 2*11*10^16 = 22*10^16
Hence we would have 16 trailing 0's and the three digits from 22
Total digits = 2 + 16 = 18 The answer is (A).

q: Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Options:
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6
a: Stream of consciousness: 21-12 < no of hrs < 21-5
9< no of hrs < 16. The answer is (D).

question: If 10 litres of an oil of Rs.54 per litres be mixed with 5 litres of another oil of Rs.66 per litre then what is the rate of mixed oil per litre?
Options:
(A) Rs.49.17
(B) Rs.58
(C) Rs.54.17
(D) Rs.55.33
(E) None of the above
answer: Stream of consciousness: 54*10 = 540
66*5 = 330
870/15 = 58 The answer is (B).

q: 189. The inside dimensions of a rectangular wooden box
are 8 inches by 10 inches by 12 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)  8
a: 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 12x10 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 10, so the radius will be 5. The answer is (C).

q: A no.when divided by 125 gives a remainder 40, what remainder will be obtainedby dividingthe same no.15?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
a:

[Assistant] Stream of consciousness: 125 + 40 = 165/15 = 11 (Remainder) The answer is (B).


[User]
q: In the following equation what value would come in place of question mark (?)?
5798 – ? = 7385 – 4632
Options:
(A) 3225
(B) 2595
(C) 2775
(D) 3045
(E) None of these above
a: Stream of consciousness: ? = 5798 + 4632 – 7385 = 3045 The answer is (D).

question: Find the average of the first 25 natural numbers?
Options:
(A) 8
(B) 9
(C) 13
(D) 11
(E) 12
answer: Stream of consciousness: Average of the first 'n' natural numbers = (n + 1)/2
We get (25 + 1)/2 = 13 The answer is (C).

q: What is the difference between 62% of 150 nd 20% of 250.
Options:
(A) 16
(B) 17
(C) 43
(D) 19
(E) 20
a: Stream of consciousness: (62/100) * 150 â€“ (20/100) * 250
93 - 50 = 43 The answer is (C).

question: The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
Options:
(A)  1/8
(B)  1/2
(C)  3/4
(D)  7/8
(E)  15/16
answer: Stream of consciousness: P(at last 1 tails) = 1 - P(all heads) = 1 - (1/2)^3 = 7/8. The answer is (D).

q: There are 8 books in a shelf that consist of 2 paperback books and 6 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) 36
(B) 45
(C) 50
(D) 55
(E) 60
a: Stream of consciousness: 8C3 [Select any four] - 6C3 [Select all hard backs] = 36. The answer is (A).

q: Ravi can do a piece of work in 20 days while Prakash can do it in 40 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 7/9 days
a:

[Assistant]
Stream of consciousness: 1/20 + 1/40 = 3/40
40/7 = 5 7/9 days The answer is (A).


[User]
q: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:
(A) 3
(B) 5
(C) 4
(D) 6
(E) 7
a: Stream of consciousness: T = 60/36 * 18/5 = 6 sec The answer is (D).

question: A boy runs 200 metres in 30 seconds. What is his speed ?
Options:
(A) 20 km/hr
(B) 24 km/hr
(C) 30 km/hr
(D) 32 km/hr
(E) 34 km/hr
answer: Stream of consciousness: 200/30 * 18/5 = 24 km/hr The answer is (B).

q: A woman begins bicycling with a pace of 10 kmph and she increases her pace every two hours by 2 kmph. She rests from bicycling 2 hours after her pace reaches her maximum speed of 14 kmph. She does a cool-down for the final 8 km at a pace of 2 kmph. How far in km did she bicycle?
Options:
(A) 96 km
(B) 100 km
(C) 106 km
(D) 116 km
(E) 126 km
a: Stream of consciousness: Distance covered in first two hours = 10 Ã— 2 = 20 km
Distance covered in next two hours = 12 Ã— 2 = 24 km
Distance covered in next two hours = 14 Ã— 2 = 48 km
Distance covered in first six hours
20 + 24 + 48 = 92 km
Remaining distance = 8 km
92 + 8 = 100 km The answer is (B).

question: Dawson earns $100 a week from his job. His income increased and now makes $110 a week. What is the percent increase?
Options:
(A) 5%
(B) 10%
(C) 15%
(D) 20%
(E) 25%
answer: Stream of consciousness: Increase = (10/100)*100 = (1/10)*100 = 10%. The answer is (B).

q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 3484
(B) 3467
(C) 3567
(D) 4567
(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).

q: The floor of a rectangular room is 18 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
Options:
(A) 124 m2
(B) 126 m2
(C) 136 m2
(D) 158 m2
(E) None of these
a:

[Assistant]
Stream of consciousness: Area of the outer rectangle = 22 Ã— 16 = 352 m2
Area of the inner rectangle = 18 Ã— 12 = 216 m2
Required area = (352 â€“ 216) = 136 m2 The answer is (C).


[User]
The average of 11 results is 51, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) A) 46
(B) B) 45
(C) C) 66
(D) D) 76
(E) E) 74 Stream of consciousness first, then make a decision:

[Assistant]
1 to 11 = 11 * 51 = 561
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 – 561 = 45
Thus, the answer is (B).


[User]
q: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 14 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 25 min.
a: Stream of consciousness: The ratio is 2:3 = gym:ride, so (14)(3/2) = 21 minutes at the gym, and 21 + 14 = 35 minutes exercise, so (2/3)(35) = 23 minutes yoga. The answer is (D).
--
q: 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
a: 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: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Options:
(A) 9 % loss
(B) 10% gain
(C) 450
(D) 12% loss
(E) 12% gain
a:

[Assistant]
Stream of consciousness: (30*30)/100 = 9%loss The answer is (A).
--


[User]
q: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Options:
(A) 60 %
(B) 55 %
(C) 70%
(D) 75%
(E) 80%
a: Stream of consciousness: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 65 - {Both correctly} + 5
{Both correctly} = 55. The answer is (B).

question: If X is the sum of first 30 positive even integers and Y is the sum of first 30 positive odd integers, what is the value of x-y?
Please try to explain your answers
Options:
(A) 10
(B) 25
(C) 30
(D) 75
(E) 100
answer: Stream of consciousness: First even minus first odd = 2-1 = 1;
The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;
The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;
We can see the patterns here, so the sum of first 30 positive even integers minus the sum of first 30 positive odd integers will be 30. The answer is (C).

q: A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:
Options:
(A) 553681
(B) 555181
(C) 555681
(D) 556581
(E) 556881
a: Stream of consciousness: 987 = 3 x 7 x 47
So, the required number must be divisible by each one of 3, 7, 47
553681->(Sum of digits = 28, not divisible by 3)
555181->(Sum of digits = 25, not divisible by 3)
555681 is divisible by 3, 7, 47 The answer is (C).

question: In a group of dogs and peacocks, the number of legs are 18 less than four times the number of heads How many peacocks are there in that group?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 5
answer: Stream of consciousness: Let the number of dogs be 'x' and the number of peacocks by 'y'. Then, number of legs in the group = 4x + 2y. Number of heads in the group = x+y So, 4x+2y = 4(x+y) – 18 ⇒ 2y = 18 ⇒ y = 9 Number of peacocks in that group = 9. The answer is (A).

q: A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r?
Options:
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
a: Stream of consciousness: Equation: 1/r = 1/(r + 2) + 2/3
Plug options into the equation:
E fits: 1/1 = 1/(1 + 2) + 2/3 The answer is (E).

q: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 41, what is the value of K?
Options:
(A)  41
(B)  15 3/4
(C)  22
(D)  23
(E)  25 3/10
a:

[Assistant]
Stream of consciousness: K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 41
11K = 41 * 4 +1 = 164 +1 = 165
K = 165 / 11 = 15. The answer is (A).


[User]
Give a quick stream of consciousness before answering the following question. If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?
Options:
(A) 3/5
(B) 1/2
(C) 1/5
(D) 1/8
(E) 1/32

[Assistant]
On the first three flips, you must get heads. Whats the probability of getting heads ? Its 1/2
So for the first three flips, your probability is (1/2)^3 = 1/8
Now for the last two, you want to get tails only. Whats the prob of getting tails ? Well, its the same as prob of getting a heads, namely, 1/2
For the last two flips, your probability is (1/2)^2 = 1/4
So your overall probability for the event in question is 1/8*1/4 = 1/32
The answer: (E).


[User]
q: How many positive integers less than 70 have a reminder 01 when divided by 3?
Options:
(A) 13
(B) 24
(C) 35
(D) 16
(E) 17
a: Stream of consciousness: 1 also gives the remainder of 1 when divided by 3. So, there are total of 24 numbers. The answer is (B).

question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 1
(B) 3
(C) 6
(D) 8
(E) 9
answer: Stream of consciousness: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 – 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6 The answer is (C).

q: The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
Options:
(A) 90, 10 kmph
(B) 35, 27 kmph
(C) 50, 60 kmph
(D) 45, 55 kmph
(E) 45, 65 kmph
a: Stream of consciousness: Speed of the boat in still water = (80+100)/2 = 90 kmph. Speed of the stream = (100-80)/2 = 10 kmph The answer is (A).

question: The no. of girls in a class are 7times the no. of boys, which value cannever be the of total students?
Options:
(A) 20
(B) 35
(C) 30
(D) 40
(E) 42
answer: Stream of consciousness: 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: Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 7851
(B) 8902
(C) 9944
(D) 9578
(E) 9734
a: Stream of consciousness: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944 The answer is (C).

q: Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next?
Options:
(A) A) 12
(B) B) 11
(C) C) 27
(D) D) 53
(E) E) 86
a:

[Assistant] Stream of consciousness: In this series, each number is repeated, then 14 is subtracted to arrive at the next number. The answer is (B).


[User]
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 marble shop contains 6 blue marbles, 6 red marbles, and 6 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be the same color?
Options:
(A) 1/68
(B) 60/68
(C) 13/68
(D) 13/48
(E) 1/48
a: Stream of consciousness: It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 1
Probability of choosing 2nd card of the same type: 5/17
Probability of choosing 3rd card of the same type: 4/16
Probability of choosing 4th marble of the same type: 3/15
Multiply and you get 1/68 The answer is (A).
--
q: 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
a:

[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]
Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?
Options:
(A) x^2
(B) x^2+2
(C) x^2-2x+10
(D) x^2+2x+10
(E) x^2+4x+5
Answer and stream of consciousness: (C)
Stream of consciousness: Avg = [(x+2)^2 + (x-4)^2] / 2
Expanding and simplifying, (x^2 + 4x + 4 + x^2 - 8x + 16 ) / 2 = x^2 - 2x +10

Express 35 mps in kmph?
Options:
(A) 122
(B) 188
(C) 126
(D) 140
(E) 124
Answer and stream of consciousness: (C)
Stream of consciousness: 35 * 18/5 = 126 kmph

How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 91
(C) 11
(D) 17
(E) 12
Answer and stream of consciousness: (A)
Stream of consciousness: (60/100) * 50 – (40/100) * 30
30 - 12 = 18

People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a blue shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?
Options:
(A) 27
(B) 38
(C) 53
(D) 63
(E) 78
Answer and stream of consciousness:

[Assistant]
(A)
Stream of consciousness: The correct answer should not take the form: 5x + 3. Hence, it is


[User]
If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 189km
(B) 195km
(C) 197km
(D) 200km
(E) 205km Stream of consciousness first, then make a decision:

[Assistant]
14 m/s = 14 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 14 * 18/5 * 15/4 km = 189 km.
Thus, the answer is (A).


[User]
q: Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.
If she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
a: Stream of consciousness: 3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done. The answer is (C).

question: 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
answer: Stream of consciousness: O and P should serve on A The answer is (D).

q: Find the third proportional to 4 and 16?
Options:
(A) 80
(B) 12
(C) 64
(D) 78
(E) 72
a: Stream of consciousness: Formula = Third proportional = (b × b)/a
A = 4 and B = 16
(16 × 16)/ 4 = 256/4 = 64 The answer is (C).

question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 5 businessmen, how many possible team submissions are possible?
Options:
(A) 74
(B) 100
(C) 162
(D) 198
(E) 202
answer: Stream of consciousness: We have 3 scenarios here:
1) 1 tech2 businessmen: 4C1 x 5C2 = 40
2) 2 tech1 businessman: 4C2 x 5C1 = 30
3) 3 tech0 businessmen: 4C3 = 4
Total: 144+54+4 = 74 The answer is (A).

q: In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is:
Options:
(A) 15
(B) 18
(C) 20
(D) 22
(E) 24
a: Stream of consciousness: Number = (35 * 12) = 420
Correct quotient = 420/21 = 20 The answer is (C).

q: The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
Options:
(A) 29
(B) 78
(C) 30
(D) 28
(E) 12
a:

[Assistant] Stream of consciousness: 20 + 24 + 8 * 2 = 60/2 = 30 The answer is (C).


[User]
Use some thinking to answer the following 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) 30%
(B) 59%
(C) 57%
(D) 64%
(E) 69%

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


[User]
question: There are 6 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) 225
(D) 180
(E) 200
answer: Stream of consciousness: Number of ways of selecting 2 fiction books = 6C2
Number of ways of selecting 2 non fiction books = 6C2
6C2 * 6C2 = 15 * 15 = 225 The answer is (C).

q: In how many different ways can the letters of the word â€˜EXTENTâ€™ be arranged?
Options:
(A) 250
(B) 180
(C) 300
(D) 310
(E) 360
a: Stream of consciousness: Number of ways = 6!/2!2! = 6X5X4X3X2X1/2X1X2X1 = 180 The answer is (B).

question: 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 $234 for it, the cost price of the Cricket Bat for A is:
Options:
(A) 156
(B) 120
(C) 130
(D) 160
(E) 210
answer: Stream of consciousness: 125% of 120% of A = 234
125/100 * 120/100 * A = 234
A = 234 * 2/3 = 156. The answer is (A).

q: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 87. How many points altogether did the team score?
Options:
(A) 686
(B) 672
(C) 652
(D) 642
(E) 721
a: Stream of consciousness: 8 * 87 = 696 – 10 = 686 The answer is (A).

question: An analyst will recommend a combination of 4 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 8 stocks are possible?
--
Options:
(A) 12
(B) 19
(C) 90
(D) 180
(E) 720
answer: Stream of consciousness: 5C4 * 4C2 * 3C2 = 5*6*3 = 90. The answer is (C).

question: At 15:00 there were 20 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 7 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
answer:

[Assistant]
Stream of consciousness: 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 = 25 The answer is (C).


[User]
Some question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 1/56
(B) 1/42
(C) 1/40
(D) 1/41
(E) 1/47
Some stream of consciousness:

[Assistant] 2/3 * 6/7 * 1/3 * 1/8 = 1/42 The answer: (B).


[User]
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Options:
(A) 65 days
(B) 85 days
(C) 15 days
(D) 45 days
(E) 13 days Let's think first. Stream of consciousness:

[Assistant]
B's 1 day work = (1/12 - 1/20) = 1/30
Now, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15
So, A and B together will complete the work in 15 days.
So, the answer is (C).


[User]
q: Calculate the largest 5 digit number which is exactly divisible by 77?
Options:
(A) 99111
(B) 99946
(C) 99869
(D) 99792
(E) 99654
a: Stream of consciousness: Largest 4 digit number is 99999
After doing 99999 ÷ 77 we get remainder 53
Hence largest 5 digit number exactly divisible by 77 = 99999 - 53 = 99946 The answer is (B).

question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 20 seconds. What is the length of the platform in meters?
Options:
(A) 200 meters
(B) 360 meters
(C) 420 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 = 20 * 20 = 400 = Length of train
Length of platform = 600 - 400 = 200 The answer is (A).

q: At a meeting of the 9 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 9 Chiefs of Staff be seated around a circular table?
Options:
(A) 120
(B) 480
(C) 960
(D) 2520
(E) 6050
a: Stream of consciousness: Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (6050), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect? The answer is (E).

question: A train 180 m long running at 70 kmph crosses a platform in 20 sec. What is the length of the platform?
Options:
(A) 208
(B) 277
(C) 350
(D) 881
(E) 271
answer: Stream of consciousness: D = 70 * 5/18 = 20 = 388 – 180 = 208 The answer is (A).

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 $231 for it, the cost price of the Cricket Bat for A is:
Options:
(A) 150
(B) 120
(C) 154
(D) 160
(E) 210
a: Stream of consciousness: 125% of 120% of A = 231
125/100 * 120/100 * A = 231
A = 231 * 2/3 = 154. The answer is (C).

q: 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) 56
(B) 78
(C) 27
(D) 79
(E) 50
a:

[Assistant]
Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m The answer is (E).


[User]
q: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 140
(B) 146
(C) 152
(D) 162
(E) 170
a: Stream of consciousness: Number of newborns that can die in first month = 1/10 * 200 = 20
Survived = 180
Number of newborns that can die in second month = 1/10 * 180 = 18
Survived = 162
Number of newborns that can die in third month = 1/10 * 162 = 16
Survived = 146 The answer is (B).

question: A can do a piece of work in 6 hours; B and C together can do it in 4 hours, which A and C together can do it in 3 hours. How long will B alone take to do it?
Options:
(A) 8hours
(B) 6hours
(C) 14hours
(D) 12hours
(E) 5hours
answer: Stream of consciousness: A's 1 hour work = 1/6;
(B + C)'s 1 hour work = 1/4;
(A + C)'s 1 hour work = 1/3
(A + B + C)'s 1 hour work = (1/4 + 1/6) = 5/12
B's 1 hour work = (5/12 - 1/3) = 1/12
B alone will take 12 hours to do the work. The answer is (D).

q: What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 643.095 + ?
Options:
(A) 870
(B) 790
(C) 880
(D) 770
(E) 890
a: Stream of consciousness: ? = 285 + 1895 – 655 – 645 or, ? = 880 The answer is (C).

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
answer: Stream of consciousness: Total age of students is 32X16 = 512 Years
Total age inclusive of teacher = 33X (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs The answer is (A).

q: In a particular year, the month of january had exactly 4 thursdays, and 4 sundays. On which day of the week did january 1st occur in the year.
Options:
(A) 33
(B) Monday
(C) 299
(D) 299
(E) 277
a: Stream of consciousness: Ans: If a month has 31 days, and it starts with sunday, Then Sundays, Mondays, tuesdays are 5 for that month. If this month starts with monday, then mondays, tuesdays, and wednesdays are 5 and remaining days are 4 each. so this month start with Monday. The answer is (B).

q: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Options:
(A) 299
(B) 277
(C) 266
(D) 992
(E) 188
a:

[Assistant]
Stream of consciousness: (800*3*3)/100 = 72
920 + 72 = 992 The answer is (D).


[User]
q: 5, 10, 13, 26, 29, 58, 61, (....)
Options:
(A) 128
(B) 64
(C) 122
(D) 125
(E) 130
a: Stream of consciousness: Numbers are alternatively multiplied by 2 and increased by 3
5 Ã— 2 = 10
10 + 3 = 13
13 Ã— 2 = 26
26 + 3 = 29
29 Ã— 2 = 58
58 + 3 = 61
61 Ã— 2 = 122 The answer is (C).
--
q: 5,9,18,30,50,__
Options:
(A) 79
(B) 80
(C) 81
(D) 82
(E) 83
a: Stream of consciousness: (9+5) +4 = 18
(16+9) +5 = 30
(28+16)+6 = 50
(48+28)+7 = 83 The answer is (E).
--
q: From among the 39 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) 1482
(E) 1460
a:

[Assistant]
Stream of consciousness: There are 39 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 39 ways. When one person is appointed as leader, we are left with 35 students. Out of these 38 teachers, we can select one class representative. So, a class representative can be selected in 38 ways. Hence, the number of ways in which a leader and class representative can be selected = 39 x 38 = 1482 The answer is (D).
--


[User]
Give a quick stream of consciousness before answering the following question. Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) 9261
(B) 1261
(C) 9621
(D) 9162
(E) 5000

[Assistant]
A = 8000(21/20)3 = 9261
The answer: (A).


[User]
It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 10 minutes, how much time will she spend doing yoga? (rounded to minutes)
Options:
(A) 10 min.
(B) 41 min.
(C) 17 min.
(D) 23 min.
(E) 25 min. Hmmm, my stream of consciousness:

[Assistant] The ratio is 2:3 = gym:ride, so (10)(3/2) = 15 minutes at the gym, and 15 + 10 = 25 minutes exercise, so (2/3)(25) = 17 minutes yoga. So, the answer is (C).


[User]
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: OK... Stream of consciousness: Each crate requires 3 apples and totally there are 10 crates so required apples = 10 * 3 = 30
The answer is (A).

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: OK... Stream of consciousness: Speed downstream = 50 + 20 = 70 kmph
Speed upstream = 50 - 20 = 30 kmph
The answer is (A).

Q: A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
Options:
(A) 6 days
(B) 7 days
(C) 5 days
(D) 3 days
(E) 2 days
A: OK... Stream of consciousness: One day's work of A and B = 1/9 + 1/8 = (2+1)/18 = 1/6 So, the time taken to complete the work is 6 days.
The answer is (A).

Q: If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?
Options:
(A) 2
(B) 4
(C) 5
(D) 7
(E) 3
A:

[Assistant]
OK... Stream of consciousness: Speed = 18 * 5/18 = 5 m/sec
Time taken = 900/5 = 180 sec ie. 3 mins.
The answer is (E).


[User]
question: Find the simple interest on Rs.520 for 7 months at 8 paisa per month?
Options:
(A) 277
(B) 270
(C) 291
(D) 266
(E) 121
answer: Stream of consciousness: I = (520*7*8)/100 = 291 The answer is (C).
--
question: How many terminating zeroes R does 200! have?
Options:
(A)  40
(B)  48
(C)  49
(D)  55
(E)  64
answer: Stream of consciousness: You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros. The answer is (C).
--
question: How much is 80% of 40 is greater than 4/5 of 25?
Options:
(A) 12
(B) 27
(C) 18
(D) 12
(E) 81
answer: Stream of consciousness: (80/100) * 40 – (4/5) * 25
32 - 20 = 12 The answer is (D).
--
question: A 160 meter long train crosses a man standing on the platform in 18 sec. What is the speed of the train?
Options:
(A) 96 kmph
(B) 94 kmph
(C) 32 kmph
(D) 56 kmph
(E) 76 kmph
answer:

[Assistant]
Stream of consciousness: S = 160/18 * 18/5 = 32 kmph The answer is (C).
--


[User]
Use some thinking to answer the following question. How many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 22 sec
(B) 35 sec
(C) 25 sec
(D) 18 sec
(E) 17 sec

[Assistant]
D = 200 + 150 = 350
S = 36 * 5/18 = 10 mps
T = 350/10 = 35 sec So the final answer is (B).


[User]
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) 6 kmph
(C) 5 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).

q: 252 can be expressed as a product of primes as:
Options:
(A) 2 x 2 x 3 x 3 x 7
(B) 2 x 2 x 3 x 3 x 8
(C) 2 x 2 x 3 x 3 x 6
(D) 2 x 2 x 3 x 3 x 1
(E) 2 x 2 x 3 x 3 x 2
a: Stream of consciousness: Clearly, 252 = 2 x 2 x 3 x 3 x 7. The answer is (A).

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

q: 5,9,18,30,50,__
Options:
(A) 79
(B) 80
(C) 81
(D) 82
(E) 83
a: Stream of consciousness: (9+5) +4 = 18
(16+9) +5 = 30
(28+16)+6 = 50
(48+28)+7 = 83 The answer is (E).

question: A racng car travels k kilometres in n hours. How many miles will it travel in x hours at the same rate?
Options:
(A) knx
(B) k⁄n
(C) kn⁄x
(D) kx
(E) kx⁄n
answer: Stream of consciousness: Given Speed = k/n
To Find distance in x hours with same speed
Distance = speed * time
Distance = k/n*x = kx/n The answer is (E).

question: Ann invested a certain sum of money in a bank that paid simple interest. The amount grew to $240 at the end of 2 years. She waited for another 3 years and got a final amount of $300. What was the principal amount that she invested at the beginning?
Options:
(A) $150
(B) $175
(C) $200
(D) $210
(E) $220
answer:

[Assistant]
Stream of consciousness: Amount at end of 2 years = 240$
Amount at end of 5 years = 300$
Difference in amount for time period of 3 years = 60$
Annual Interest earned = 60/3 = 20$
Principal amount invested at the beginning = 240 - 2*20 = 200$ The answer is (C).


[User]
Find the odd man out
25, 49, 81, 121, 144, 169
Options:
(A) 49
(B) 121
(C) 144
(D) 169
(E) 25 Let's think first. Stream of consciousness:

[Assistant]
144 is square of 12 which is even number where as all others are squares of odd numbers.
So, the answer is (C).


[User]
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 288
(B) 270
(C) 287
(D) 209
(E) 271
Answer: I = (500*9*6)/100 = 270
The answer is (B).

Question: Which one of the following is not a prime number?
Options:
(A) 31
(B) 61
(C) 71
(D) 91
(E) 101
Answer: 91 is divisible by 7. So, it is not a prime number.
The answer is (D).

Question: The average of 13 result is 20. Average of the first 8 of them is 20 and that of the last 8 is 40. Find the 8th result?
Options:
(A) 35
(B) 37
(C) 46
(D) 90
(E) 100
Answer: Sum of all the 13 results = 13 * 20 = 260
Sum of the first 7 of them = 8 * 20 = 160
Sum of the last 7 of them = 8 * 40 = 320
So, the 8th number = 260 + 160 - 320 = 100.
The answer is (E).

Question: 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
Answer:

[Assistant]
Total expenditure = 40 + 25 + 15 + 5 = 85%
Saving = (100 - 85) = 15%
15/100 × Salary = 2700, Salary = 18000 Rs.
The answer is (C).


[User]
question: 30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 18
(D) 13
(E) 14
answer: Stream of consciousness: Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (690 – 150) = 540
∴ Average price of a pen = 540⁄60 = 18 The answer is (C).

q: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Options:
(A) 9
(B) 8
(C) 7
(D) 6
(E) 4
a: Stream of consciousness: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81 = 9 The answer is (A).

question: The edge of a cube is 3a cm. Find its surface?
Options:
(A) 64a2 cm2
(B) 54a2 cm2
(C) 84a2 cm2
(D) 24a2 cm2
(E) 34a2 cm2
answer: Stream of consciousness: 6a2 = 6 * 3a * 3a = 54a2 The answer is (B).

q: Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Options:
(A) 288
(B) 200
(C) 279
(D) 992
(E) 208
a: Stream of consciousness: (800*3*3)/100 = 72
920 + 72 = 992 The answer is (D).

question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Options:
(A) 100
(B) 20
(C) 30
(D) 40
(E) 50
answer: Stream of consciousness: No of people from 10 - 11 is x
No of people from 11 - 12 is 11x/10
No of people from 12 to 1 is (6/5)(11x/10)
Given that 11x/10 + (6/5)(11x/10) = 121x / 50 = 242
Then x = 100 The answer is (A).

question: The average of first six prime numbers greater than 65 is?
Options:
(A) 55
(B) 77
(C) 56
(D) 67
(E) 98
answer:

[Assistant] Stream of consciousness: 67 + 71 + 73 + 79 + 83 + 89 = 462/6 = 77 The answer is (B).


[User]
question:List K consists of 14 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?
Options:
(A) 5
(B) 6
(C) 7
(D) 8
(E) 12
answer:(D)
Stream of consciousness:Answer = D = 8
If least = -4, then largest = 9
Range = 9 - 1 = 8

question:The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
(A) kmph
(B) kmph
(C) kmph
(D) kmph
(E) kmph
answer:(B)
Stream of consciousness:Speed downstream = 40 + 20 = 60 kmph
Speed upstream = 40 - 20 = 20 kmph

question:Which of the following is a prime number ?
Options:
(A) 27
(B) 45
(C) 97
(D) 98
(E) 100
answer:

[Assistant]
(C)
Stream of consciousness:Clearly, 97 is a prime number.


[User]
question:Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 7890
(B) 8900
(C) 9944
(D) 9976
(E) 10000
answer:(C)
Stream of consciousness:Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944

question:If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 118, what is the value of K?
Options:
(A)  11
(B)  15 3/4
(C)  22
(D)  118
(E)  25 3/10
answer:(D)
Stream of consciousness:K + 2K +3 + 3K - 5 + 5K +1 = 11K -1
(11K -1)/4 = 118
11K = 118 * 4 +1 = 472 +1 = 473
K = 473 / 11 = 43.

question:At what rate percent on simple interest will a sum of money double itself in 60 years?
Options:
(A) 3 1/3%
(B) 3 1/9%
(C) 1 2/3%
(D) 3 2/3%
(E) 3 6/3%
answer:

[Assistant]
(C)
Stream of consciousness:P = (P*60*R)/100
R = 1 2/3%


[User]
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 277
(B) 270
(C) 288
(D) 266
(E) 121 Think first, then make a decision. Some random thoughts:

[Assistant] I = (500*9*6)/100 = 270 So the answer is (B).


[User]
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) Rs 420
(B) Rs 550
(C) Rs 490
(D) Rs 450
(E) Rs 457 Let's think first. Stream of consciousness:

[Assistant]
10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450
So, the answer is (D).


[User]
question: How much 60% of 50 is greater than 40% of 30?
Options:
(A) 18
(B) 91
(C) 11
(D) 17
(E) 12
answer: Stream of consciousness: (60/100) * 50 – (40/100) * 30
30 - 12 = 18 The answer is (A).
--
question: A 14 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Options:
(A) 12
(B) 20
(C) 88
(D) 77
(E) 4
answer: Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 14 = 4 The answer is (E).
--
question: 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) 1227
(B) 2088
(C) 26788
(D) 8112
(E) 1871
answer: Stream of consciousness: A = 7500(26/25)2 = 8112 The answer is (D).
--
question: If 40 per cent of a number is added to an other number then it becomes 125 per cent of itself. What will be the ratio of first and second numbers?
Options:
(A) 8 : 5
(B) 5 : 7
(C) 5 : 8
(D) Data inadequate
(E) None of these
answer:

[Assistant]
Stream of consciousness: 40x⁄100 + y = 125x⁄100 ⇒ x⁄y = 20⁄17 The answer is (E).
--


[User]
If 20m − 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) 6m
(D) 7m
(E) 6m/5 Stream of consciousness first, then make a decision:

[Assistant]
20m - n = p
Add n to both sides:
20m = n + p
Add m to both sides:
21m = n + p + m
Now, divide both sides by 3
7m = (n + p + m)/3 = the average of n, p, and m
Thus, the answer is (D).


[User]
Question: A no.when divided by 221 gives a remainder 43, what remainder will beobtained by dividing the same number19?
Options:
(A) 3
(B) 6
(C) 9
(D) 11
(E) 15
Answer: 221 + 43 = 264/17 = 9 (Remainder)
The answer is (C).

Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 3
(B) 4
(C) 5
(D) 8
(E) 9
Answer: Speed in still water = (11 + 5)/2 kmph = 8 kmph.
The answer is (D).

Question: A wheel rotates 10 times every minute and moves 20 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) 1200 metre
(E) 130 metre
Answer: Number of times wheel moves in 1 hour = 10 * 60 = 600
:. Distance moves = (600 *20) cms = 12000 cms
In metres = 120 metre
The answer is (C).

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) 30 Years
(B) 31 Years
(C) 32 Years
(D) 34 Years
(E) 49 Years
Answer:

[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
There is a shortcut for these type of problems
Teacher's age is 16+(33X1) = 49 Years
The answer is (E).


[User]
Question: A boy runs 200 metres in 24 seconds. What is his speed ?
Options:
(A) 20 km/hr
(B) 24 km/hr
(C) 28.5 km/hr
(D) 30 km/hr
(E) 35 km/hr Let's think first. Some random reasoning:

[Assistant] 200/24 * 18/5 = 30 km/hr The final answer: (D).


[User]
Use some thinking to answer the following 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: 120, 30, 240, 25, ___, 20, 480, 15... Which number is missing?
Options:
(A) 120
(B) 360
(C) 340
(D) 960
(E) 280

[Assistant]
B 360
This is an alternating addition and subtraction series. In the first pattern, 120 is added to each number to arrive at the next. In the second, 5 is subtracted from each number to arrive at the next. So the final answer is (B).


[User]
Question: Count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6?
Options:
(A) One
(B) Three
(C) Two
(D) Five
(E) Four Random thoughts:

[Assistant]
Answer = E) Four
Numbers between 10 - 99 giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93
The above Numbers giving remainder 1 when divided by 6 = 13, 37, 61, 85 = 4 The final answer: (E).


[User]
Question: A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??
Options:
(A) 30 years
(B) 40 years
(C) 45 years
(D) 50 years
(E) 60 years Let's think first. Some random reasoning:

[Assistant] If the sum doubles (x2) in 15 years, then it to become 2*2*2 = 8 times as large it should double three times, so three 15 years time period are needed, which is 3*15 = 45 years. The final answer: (C).


[User]
question: The speed of a boat in still water is 60kmph and the speed of the current is 10kmph. Find the speed downstream and upstream?
Options:
(A) 40, 68 kmph
(B) 70, 50 kmph
(C) 90, 60 kmph
(D) 40, 60 kmph
(E) 20, 60 kmph
answer: Stream of consciousness: Speed downstream = 60 + 10 = 70 kmph
Speed upstream = 60 - 10 = 50 kmph The answer is (B).

q: What should come in place of the question mark (?) in the following equation?
9568 – 6548 – 1024 = ?
Options:
(A) 2086
(B) 1996
(C) 2293
(D) 1896
(E) None of these
a: Stream of consciousness: ? = 9568 – 6548 – 1024 = 1996. The answer is (B).

question: In marathon Sam was faster than Jack. Denise beat Jim but lost to Jack. Who is the winner?
Options:
(A) Sam
(B) Jack
(C) Denise
(D) Jim
(E) none
answer: Stream of consciousness: Denise beat Jim
Jack beat Jim
Sam beat Jack
So Sam is the winner The answer is (A).

q: 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
a: 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. The answer is (C).

question: Find the wrong number below mentioned series
5,24,60,120,210,340
Options:
(A) 340
(B) 210
(C) 5
(D) 60
(E) none
answer: Stream of consciousness: 5 is the only prime number or odd number in the series. The answer is (C).

question: Which is greater than 99?
Options:
(A) 9
(B) 99
(C) 9.9
(D) 999
(E) 909
answer:

[Assistant] Stream of consciousness: 999 greater than 99. The answer is (D).


[User]
q: A computer factory produces 4032 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Options:
(A) 2.25.
(B) 3.00.
(C) 4.5.
(D) 5.225.
(E) 6.25.
a: Stream of consciousness: Number of hours in 28 days = 28*24
Number of 30 mins in 28 days = 28*24*2
Number of computers built every 30 mins = 4032/( 28*24*2) = 3 The answer is (B).

question: 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 240 pastries ?
Options:
(A) 2 hours.
(B) 1 hours.
(C) 5 hours.
(D) 4 hours.
(E) 3 hours.
answer: Stream of consciousness: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 240 pastries would take 240 ÷ 60 = 4 hours. The answer is (D).

q: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
(A) 3377
(B) 2678
(C) 2800
(D) 2786
(E) 1981
a: Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 – 5x/100 = 144
2x/100 = 56 è x = 2800' The answer is (C).

question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Options:
(A) 23
(B) 26
(C) 40
(D) 42
(E) 49
answer: 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).

q: Find the average of the first 25 natural numbers?
Options:
(A) 8
(B) 9
(C) 13
(D) 11
(E) 12
a: Stream of consciousness: Average of the first 'n' natural numbers = (n + 1)/2
We get (25 + 1)/2 = 13 The answer is (C).

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) 21
(B) 20
(C) 17
(D) 12
(E) 18
a:

[Assistant]
Stream of consciousness: 1: 2/5 = 5: 2
2/7 * 70 = 20 The answer is (B).


[User]
If 8m − 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) 3m
(C) 6m
(D) m/5
(E) 6m/5 Let's think first. Stream of consciousness:

[Assistant]
8m - n = p
Add n to both sides:
8m = n + p
Add m to both sides:
9m = n + p + m
Now, divide both sides by 3
3m = (n + p + m)/3 = the average of n, p, and m
So, the answer is (B).


[User]
Question: A train 280 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 Let's think first. Some random reasoning:

[Assistant]
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec The final answer: (B).


[User]
question: Find the least number must be added to 228712 so that remaining no.is divisible by 9?
Options:
(A) 5
(B) 3
(C) 1
(D) 6
(E) 2
answer: Stream of consciousness: On dividing 228712 by 9 we get the remainder 4, so 5 should be subtracted The answer is (A).

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 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
a: Stream of consciousness: 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 The answer is (E).

question: The average of first 10 even numbers is?
Options:
(A) 18
(B) 16
(C) 15
(D) 11
(E) 19
answer: Stream of consciousness: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11 The answer is (D).

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

question: The average of first six prime numbers greater than 20 is?
Options:
(A) 10
(B) 20
(C) 30
(D) 40
(E) 34
answer: Stream of consciousness: 23 + 29 + 31 + 37 + 41 + 43 = 204/6 = 34 The answer is (E).

question: Two trains are moving at 60 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 12/13 sec
(B) 7 1/7 sec
(C) 7 2/2 sec
(D) 8 1/2 sec
(E) 7 1/9 sec
answer:

[Assistant]
Stream of consciousness: 70 + 60 = 130 * 5/18 = 325/9 mps
D = 150 + 100 = 250 m
T = 250 * 9/325 = 90/13 = 6 12/13 sec The answer is (A).


[User]
Q: A can do a certain work in 12 days. B is 60% more efficient than A. How many days does B alone take to do the same job ?
Options:
(A) 19
(B) 15
(C) 16
(D) 17
(E) 18 Let's give some random thoughts before answering.

[Assistant]
Ratio of time taken by A & B = 160:100 = 8:5 Suppose B alone takes x days to do the job. Then, 8:5::12:x = > 8x = 5*12 = > x = 15 days.
Therefore, the answer is (B).


[User]
Give stream of consciousness and then the final answer. Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 610 or over 780. If the individual ranges of the three people's scores in those 4 practice tests were 50, 80 and 90, what is the difference between the maximum and minimum possible ranges of all their scores put together.
Options:
(A) 70
(B) 80
(C) 90
(D) 100
(E) 110

[Assistant]
According to the information in the question the maximum range would be between 610 and 780(170). The minimum range would be the greatest range for any one individual, which is listed in the problem as 90. So the difference between these would be 170-90 or 80.
The final answer: (B).


[User]
question: If the personal income tax rate is lowered from 45% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $48000?
Options:
(A) $3500
(B) $5000
(C) $3150
(D) $7200
(E) $10000
answer: Stream of consciousness: Saving = (45-30)% of 48000 = 7200. The answer is (D).

q: From among the 39 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) 1482
(E) 1460
a: Stream of consciousness: There are 39 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 39 ways. When one person is appointed as leader, we are left with 35 students. Out of these 38 teachers, we can select one class representative. So, a class representative can be selected in 38 ways. Hence, the number of ways in which a leader and class representative can be selected = 39 x 38 = 1482 The answer is (D).

question: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 4 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
answer: Stream of consciousness: 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 The answer is (D).

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) 50%
(C) 57%
(D) 60%
(E) 65%
a: Stream of consciousness: Total number of votes polled = (1136 + 7636 + 11628) = 20400
So, Required percentage = 11628/20400 * 100 = 57% The answer is (C).

question: 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
Options:
(A) 6
(B) 7 2⁄3
(C) 6 2⁄3
(D) 6 1⁄3
(E) None of these
answer: Stream of consciousness: 10 men + 15 women in 1 day do 1⁄15 + 1⁄12 = 9⁄60 work
\ Time taken = 60⁄9 days = 62⁄3 days The answer is (C).

question: The length Q of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
Options:
(A) Decreases by 19%
(B) Decreases by 25%
(C) Increases by 6%
(D) Increases by 19%
(E) Increases by 25%
answer:

[Assistant]
Stream of consciousness: Let the length Q of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence The answer is (D).


[User]
q: It was 7:00 when Bill looked at the clock, he looks at the clock again 30 minutes later. What time is it now?
Options:
(A) 7:30
(B) 7:00
(C) 8:00
(D) 1:28
(E) 2:40
a: Stream of consciousness: If it's 7:00 and 30 minutes pass buy, it will be 7:30 The answer is (A).

question: Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.
Options:
(A) 85 ÷ 17 × 110
(B) 45 × 6 + 75 × 4
(C) 175 ÷ 25 × 75 + 5(2)
(D) 36 × 4 + 21(2)  – 7 × 5
(E) 65 × 12 – 46 × 5
answer: Stream of consciousness: Except it, others are equal to 550. The answer is (B).

q: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options:
(A) 3 km/hr
(B) 2 km/hr
(C) 4 km/hr
(D) 6 km/hr
(E) 8 km/hr
a: Stream of consciousness: Speed in still water = 1/2 (11 + 5) kmph = 8 kmph. The answer is (E).

question: The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
(A) 3x
(B) 4x
(C) 9x
(D) 12x
(E) 27x
answer: Stream of consciousness: Original perimeter = x
Hence original side = x/4
New side = 3x/4
New perimeter = 4*3x/4 = 3x The answer is (A).

q: In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Options:
(A) 160
(B) 190
(C) 210
(D) 368
(E) 360
a: Stream of consciousness: Number of ways = 61/21 6X5X4X3X2X1 - 360 The answer is (E).

q: The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?
Options:
(A) 7/98
(B) 1/48
(C) 1/98
(D) 3/350
(E) 1/68
a:

[Assistant] Stream of consciousness: 2/3 * 6/7 * 1/5 * 1/8 = 12/1400 = 3/350 The answer is (D).


[User]
Question: The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
Options:
(A) 22 yrs
(B) 34 yrs
(C) 27 yrs
(D) 28 yrs
(E) 19 yrs Let's think first. Some random reasoning:

[Assistant]
Total age of players in team = 22 x 11 = 242
When coach is included, total members = 12, Avg age increases by one becomes 23
Total age when coach is included = 23x12 = 276
Age of coach = 276-242 = 34 yrs. The final answer: (B).


[User]
Student: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Options:
(A) 1/9
(B) 1/6
(C) 1/5
(D) 1/0
(E) 1/1.
Another student: Let's say, hmmm...

[Assistant]
10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!
Required probability = 1/5 Final answer: (C).


[User]
question: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) 371.587 + 46.32 – 217.907
(B) 4 × 125 – 75 × 4
(C) 58.25 × 4.5 – 65.875
(D) 25 × 12 – 2 × 5 × 10
(E) 121 × 3.5 – 2 × 111.75
answer: Stream of consciousness: The other parts are equal to 200. The answer is (C).

q: Which one of the following is not a prime number?
Options:
(A) 51
(B) 61
(C) 71
(D) 82
(E) 91
a: Stream of consciousness: 91 is divisible by 7. So, it is not a prime number. The answer is (E).

question: The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 46
(B) 83
(C) 45
(D) 53
(E) 64
answer: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46. The answer is (A).

q: A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform?
Options:
(A) 450m
(B) 200m
(C) 250m
(D) 270m
(E) 300 m
a: Stream of consciousness: D = 72 * 5/18 = 40 = 800 â€“ 250 = 450m The answer is (A).

question: A train 250 m long, running with a speed of 50 km/hr will pass a tree in?
Options:
(A) 18sec
(B) 20sec
(C) 25sec
(D) 30sec
(E) 1min
answer: Stream of consciousness: Speed = 50 * 5/18 = 125/9 m/sec
Time taken = 250 *9/125 = 18 sec The answer is (A).

question: John makes $40 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
Options:
(A) 16%
(B) 16.66%
(C) 76.69%
(D) 76.98%
(E) 75%
answer:

[Assistant] Stream of consciousness: Increase = (30/40)*100 = (3/4)*100 = 75%. The answer is (E).


[User]
A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 2 min
(C) 8 min
(D) 9 min
(E) 5 min

S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min So the answer is: (A).

The average mark obtained by 22 candidates in an examination is 47. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 22
(B) 44
(C) 49
(D) 68
(E) 76

It is clear that 22 x 47 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 44 So the answer is: (B).

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

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 So the answer is: (B).

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

[Assistant] (555 + 445) * 2 * 110 + 50 = 220000 + 50 = 220050 So the answer is: (C).


[User]
What should come in place of the question mark (?) in the following equation?
90000 + 5010 = 87050 + ?
Options:
(A) 7960
(B) 7554
(C) 8465
(D) 4578
(E) 4689 Now, let's think a bit. Some random thoughts:

[Assistant]
90000 + 5010 = 87050 + ?
90000 + 5010 – 87050 = 7960
The final answer: (A).


[User]
Give a quick stream of consciousness before answering the following question. X can finish a work in 15 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 5
(B) 3
(C) 4
(D) 7
(E) 8

[Assistant]
Work done by X in 1 day = 1/15
Work done by Y in 1 day = 1/20
Work done by Y in 12 days = 12/20 = 3/5
Remaining work = 1 – 3/5 = 2/5
Number of days in which X can finish the remaining work = (1/3) / (1/15) = 5
The answer: (A).


[User]
question: There are 39 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) 55
(D) 58
(E) 63
answer: Stream of consciousness: {Total} = {M} + {N} - {Both}
{Total} = 39 + 28 - 12 = 55. The answer is (C).

q: What is the are of an equilateral triangle of side 20 cm?
Options:
(A) 64√5
(B) 64√9
(C) 64√4
(D) 64√3
(E) 100√3
a: Stream of consciousness: Area of an equilateral triangle = √3/4 S2
If S = 20, Area of triangle = √3/4 * 20 * 20 = 100√3 cm2; The answer is (E).

question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train.
Options:
(A) 225 meter
(B) 200 meter
(C) 250 meter
(D) 190 meter
(E) 180 meter
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 12 = 200 meter The answer is (B).

q: At 15:00 there were 22 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) 32
a: Stream of consciousness: 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 = 32 The answer is (E).

question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 54% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
Options:
(A) 60%
(B) 50%
(C) 25%
(D) 19%
(E) 10%
answer: Stream of consciousness: {Total} = {finance} + {marketing} - {both} + {neither}
100 = 25 + 54 - {both} + 40
{both} = 19%. The answer is (D).

question: In how many different ways can be letters of the word SOFTWARE be arranged in such a way that the vowels always come together?
Options:
(A) 13440
(B) 1440
(C) 360
(D) 120
(E) None of these
answer:

[Assistant] Stream of consciousness: When the vowels are always together, then treat all the vowels as a single letter and then all the letters can be arranged in 6! ways and also all three vowels can be arranged in 3! ways. Hence, required no. of arrangements = 6! × 3! = 4320. The answer is (E).


[User]
q: How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 27 sec
(B) 23 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec
a: Stream of consciousness: D = 120 + 150 = 270
S = 36 * 5/18 = 10 mps
T = 270/10 = 27 sec The answer is (A).

question: In a race with 30 runners where 5 trophies will be given to the top 9 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?
Options:
(A) 9^5 ways
(B) 8^9 ways
(C) 7^8 ways
(D) 8^7 ways
(E) 8^6 ways
answer: Stream of consciousness: 9 people can be prized with 5 distinct prizes in 9^5 ways The answer is (A).

q: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Options:
(A) 16
(B) 18
(C) 20
(D) 24
(E) 30
a: Stream of consciousness: Distance between Maxwell's and Brad's home = 50 km
Maxwell's speed = 4 km/h
Brad's speed = 6 km/h
Relative speed of approach = 10 km/h
Time = 50/ 10 = 5 hours
Distance traveled by Maxwell when they meet in the middle = 4*5 = 20 km The answer is (C).

question: A train 140 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) 11 sec
(E) 8 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 140 * 2/35 = 8 sec The answer is (E).

q: John makes $50 a week from his job. He earns a raise andnow makes $90 a week. What is the % increase?
Options:
(A) 15%
(B) 16.66%
(C) 17.8%
(D) 80%
(E) 21%
a: Stream of consciousness: Increase = (40/50)*100 = (4/5)*100 = 80%. The answer is (D).

q: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Options:
(A) 228777
(B) 26788
(C) 26088
(D) 28800
(E) 67881
a:

[Assistant]
Stream of consciousness: Simple interest = (18000 * 4 * 15)/100 = Rs. 10800
Amount = P + I = 18000 + 10800 = Rs. 28800 The answer is (D).


[User]
A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train.
Options:
(A) 175 m
(B) 145 m
(C) 140 m
(D) 200 m
(E) 155 m Stream of consciousness first, then make a decision:

[Assistant]
Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 12 = 200 meter
Thus, the answer is (D).


[User]
q: A boy runs 200 metres in 72 seconds. What is his speed ?
Options:
(A) 10 km/hr
(B) 14 km/hr
(C) 20 km/hr
(D) 12 km/hr
(E) 24 km/hr
a: Stream of consciousness: 200/72 * 18/5 = 10 km/hr The answer is (A).
--
q: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?
Options:
(A) 20
(B) 22
(C) 24
(D) 1
(E) 30
a: Stream of consciousness: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 555 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 26 = 1. The answer is (D).
--
q: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Options:
(A) 9
(B) 8
(C) 5
(D) 5
(E) 4
a:

[Assistant]
Stream of consciousness: 1 to 9 = 9 * 9 = 81
1 to 5 = 5 * 10 = 50
5 to 9 = 5 * 8 = 40
5th = 50 + 40 = 90 – 81 = 9 The answer is (A).
--


[User]
What is the are of an equilateral triangle of side 14 cm?
Options:
(A) 66âˆš3 cm2
(B) 74âˆš3 cm2
(C) 64âˆš3 cm2
(D) 49âˆš3 cm2
(E) 14âˆš3 cm2
--
Area of an equilateral triangle = âˆš3/4 S2
If S = 14, Area of triangle = âˆš3/4 * 14 * 14 = 49âˆš3 cm2; So the answer is: (D).
-----
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of C?
Options:
(A) 2250
(B) 3000
(C) 3018
(D) 3019
(E) 3012
--
60*5:36*6:75*3
100: 72: 75
75/247 * 7410 = 2250 So the answer is: (A).
-----
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 39
(B) 37
(C) 342
(D) 288
(E) 261
--

[Assistant]
400*(90/100)*(95/100) = 342 So the answer is: (C).
-----


[User]
q: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
Options:
(A) 3 days
(B) 6 days
(C) 8 days
(D) 4 days
(E) 9 days
a: Stream of consciousness: 12/ (2 * 2) = 3 days The answer is (A).

question: In a school of 850 boys, 44% of Muslims, 32% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) A) 125
(B) B) 119
(C) C) 153
(D) D) 721
(E) E) 159
answer: Stream of consciousness: 44 + 32 + 10 = 86%
100 – 84 = 14%
850 * 14/100 = 119 The answer is (B).

q: A, B and C can do a work in 4 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Options:
(A) 2 2/3
(B) 2 2/8
(C) 2 2/0
(D) 2 2/2
(E) 2 2/11
a: Stream of consciousness: Work done by all three of them in one day = 1/4 + 1/8 + 1/12 = 11/24
The number of days required = 24/11 = 2 2/11 days. The answer is (E).

question: A family pays $800 per year for an insurance plan that pays 65 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) $1,400
(D) $1,500
(E) $2,200
answer: Stream of consciousness: Upfront payment for insurance plan = 800$
Family needs to pay 35 % of first 1000 $ in expense = 350$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 350 = 1150 $
Total amount paid by insurance plan for first 1000 $ = 800 $
Total amount paid by family will equal amount paid by plan when medical expense = 1500 $
(Since insurance plan will pay 100% of amount that exceeds 1150$ ) The answer is (D).

q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?
Options:
(A) 3377
(B) 2688
(C) 2688
(D) 9490
(E) 1268
a: Stream of consciousness: A = 7500(26/25)^6 = 9490 The answer is (D).

q: Rs. 5000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/5:1/5:1/10?
Options:
(A) 1000
(B) 992
(C) 772
(D) 552
(E) 312
a:

[Assistant]
Stream of consciousness: 1/5:1/5:1/10 = 2:2:1
1/5*5000 = 1000
2000-1000 = 1000 The answer is (A).


[User]
Give a quick stream of consciousness before answering the following question. The average of twelve numbers is 7. The average of first nine numbers is 6 and the average of last two numbers is 10. What is the middle number?
Options:
(A) A) 9
(B) B) 10
(C) C) 12
(D) D) 7
(E) E) 13

[Assistant]
The total of twelve numbers = 12X7 = 84
The total of first 9 and last 2 numbers is = 9 X 6+2 X 10 = 74
So, the middle number is (84 - 74 ) = 10
The answer: (B).


[User]
What is the maximum number of pieces of birthday cake of size 5” by 5” that can be cut from a cake 15” by 15”?
Options:
(A) 5
(B) 10
(C) 16
(D) 20
(E) 9 Let's think first. Stream of consciousness:

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


[User]
If Friday occurred on 21th January 2005. What was the day of the week on 21th January 2004?
Options:
(A) Sunday
(B) Wednesday
(C) Friday
(D) Monday
(E) Tuesday Stream of consciousness:

[Assistant]
There are 2 odd days in the year 2004
So, the day on 21th January 2005 will be two days beyond the day on 21th January 2004
On 21th January 2004, it was Wednesday
Thus, the answer is (B).


[User]
Student: 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: 88, 3, 80, 12, __, 21 ... What number is missing?
Options:
(A) 72
(B) 78
(C) 68
(D) 30
(E) 70.
Another student: Let's say, hmmm...

[Assistant]
A
72
This is an alternating addition and subtraction series. In the first pattern, 8 is subtracted from each number to arrive at the next. In the second, 9 is added to each number to arrive at the next. Final answer: (A).


[User]
Q: A man rows his boat 70 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
A: OK... Stream of consciousness: Speed downstream = d/t = 75/(2 1/2) = 28 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (28 - 18)/2 = 5 kmph
The answer is (C).

Q: If 10 crates have 94 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 5
(B) 10
(C) 15
(D) 20
(E) 60
A: OK... Stream of consciousness: Each crate requires 6 apples and totally there are 10 crates so required apples = 10 * 6 = 60
The answer is (E).

Q: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
(A) 277
(B) 270
(C) 288
(D) 266
(E) 121
A: OK... Stream of consciousness: I = (500*9*6)/100 = 270
The answer is (B).

Q: Find the odd man out
253, 136, 352, 327, 631, 244
Options:
(A) 327
(B) 136
(C) 352
(D) 631
(E) 531
A:

[Assistant]
OK... Stream of consciousness: The sum all three digits comes to 10 except 327
The answer is (A).