divelab/Sys2Bench huggingface dataset:
Question: Due to construction, the speed limit along an 10-mile section of highway is reduced from 55 miles per hour to 30 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Options:
A)A) 6.24
B)B) 8
C)C) 10
D)D) 9.1
E)E) 24
Rationale: Old time in minutes to cross 10 miles stretch = 10*60/55 = 10*12/11 = 10.9
New time in minutes to cross 10 miles stretch = 10*60/30 = 10*2 = 20
Time difference = 9.1
Ans:D
Answer: D
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Options:
A)25 ½ kmph
B)28 ½ kmph
C)42 ½ kmph
D)20 ½ kmph
E)22 ½ kmph
Rationale: M = 100
S = x
DS = 10
US = 5
S = (10 - 5)/2
S= 2 2 ½ kmph
Answer: E
Answer: E
Question: Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of hydrogen are there in 117 grams of water?
Options:
A)7
B)9
C)11
D)13
E)15
Rationale: (2/18)*117 = 13 grams
The answer is D.
Answer: D
Question: Felix earned 70% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar?
Options:
A)10%
B)9.09%
C)40%
D)39.09%
E)It cannot be determined from the information given.
Rationale: This Q is all about taking the correct BASE for taking %s..
the very first step requires taking some numbers for each..
ONE should be 100...
it is easy to take 30 and 100 here..
but the BASE is 100 here, so the salary can be 100 and 170..
100 increases 10% =110..
170 decreases 10%=153..
so the increase is 43..
again the BASE is 110, so answer 43/110 * 100= 39.09% D
without calculations,
answer cannot be equal to or greater than 40, as 43 is on 110..
so D is the only one left
Answer: D
Question: If g and d are both integers, g>d, and -3g>19, then the largest value of d would be?
Options:
A)-5
B)-6
C)-7
D)-8
E)-10
Rationale: No, your thinking is incorrect. When we know that g>d and g<-6.33, the largest value of g can be -7 while if g=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.
You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.
Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:
.......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).
So, as per the question if d<g and g = -7 , then d's largest 'possible' value has to be -8.
-10 is smaller than -8=D
Answer: D
Question: A father tells his son, "I was of your present age when you were born." If the father is 36 now, how old was the boy 5 years back?
Options:
A)15 years
B)13 years
C)17 years
D)20 years
E)None of the above
Rationale: present age of father 36
present age of son x
36-x=x
x=18
five yrs back sons age 18-5=13
ANSWER:B
Answer: B
Question: What percentage loss will a merchant incur if he marks his goods up by x% over his cost price and then offers a discount of x% on his selling price?
Options:
A)0 %
B)2x/100 %
C)x^2/100 %
D)x %
E)2x %
Rationale: Answer is C.
Taking smart numbers:
Let, C.P = 100$ and X = 20% over C.P
then Mark Up = 120$
After discount of X%
S.P= 80% of 120
S.P = 96$
Therefore Loss is 4$ and hence Loss in % = 4%
Plugging numbers in options.
A. 0 % ---------------------------Not truebecause loss is 4%
B. 2x/100 % --------------------2*20/100 = 0.4%.Hence Not True
C. x^2/100 % ------------------ 20^2/100 = 4%.True ANSWER IS C
D. x % --------------------------- 20%.Hence Not True
E. 2x % -------------------------- 2*20 = 40%.Hence Not True ANSWER IS C
Answer: C
Question: If 'A' means '-', 'B' means '/', 'C' means '+', and 'D' means 'X' then
Find the value of the following:
21 B 7 C 9 D 10 A 13
Options:
A)80
B)75
C)85
D)95
E)66
Rationale: A
80
Explanation:
21 B 7 C 9 D 10 A 13
= 21 / 7 + 9 X 10 - 13
= 3 + 90 - 13
= 80
Answer: A
Question: B takes 12 more days than A to finish a task. B and A start this task and A leaves the task 12 days before the task is finished. B completes 60% of the overall task. How long would B have taken to finish the task if he had worked independently?
Options:
A)48 days
B)36 days
C)28 days
D)32 days
E)30 days
Rationale: DETAILED SOLUTION
Let us say A and B split their share of the task and started doing their respective shares simultaneously.
Let’s say A takes A days to finish the task. Therefore, B takes A + 12 days to finish the entire task.
A has to finish 40% of the task, since B is doing the rest. So A will only take 2A/5 number of days.
B only has to finish 60% of the task, so B will take (3(A+12)/5) number of days.
But as we know, B starts working along with A and finishes 12 days after A stops working.
So, (3(A+12)/5) = ((2A)/5+12)
3A + 36 = 2A + 60
A = 24; B = 36 days.
Answer choice B
Answer: B
Question: If point A coordinates are (-7, -3) point B coordinates are (7 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.
Options:
A)(-2, - 2/3)
B)(2, -2/3)
C)(2/3, -2)
D)(0, 2)
E)(2, 2/3)
Rationale: Look at the diagram below:
Line segment.pngSince, AC= 1/2 CB, then AC = 1/3 AB. This implies that point C is closer to A than to B, which on the other hand implies that the x-coordinate of C must be less than (-7+7)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be D.
Answer: D.
Answer: D
Question: A seven-digit combination lock on a safe has zero exactly three times, does not have the digit 1 at all. What is the probability that exactly 3 of its digits are odd?
Options:
A)9/16
B)1/2
C)1/3
D)1/4
E)1/6
Rationale: Remaining number of digits after three '0' digits= 4
Constraint- no more '0' and no more '1'
Well, these four digits can be odd or even
1/2*1/2*1/2*1/2= 1/16
Ways to choose 3 odd digits out of total 4 digits= 4C3= 4
4* 1/16= 1/4
D is the answer
Hi! Since we are talking about remaining 4 digits. Each digit can either be odd or even (Total ways to select = 2. desired outcome= 1)
so let's say we want to choose first 3 digits as odd digits and last digit as even. The probability will be :-
1/2 *1/2*1/2*1/2= 1/16
But out of remaining 4 digit , any 3 can be odd and one even as there are no constraints in the question. Therefore, total ways of choosing 3 odd digits out of 4 total digits= 4C3
So, the probability = 4*1/16= 1/4
answer is D
Answer: D
Question: When XYZ Co discontinued an agency arrangement with John, management held his commission of Rs. 25000/- for one month. Earlier John had availed an advance agency fees of 8280/- from company. But Robert forgot that. After one month John asked his fees and accountant gives Rs.18500/- to him. What is the incentive amount given to John ?
Options:
A)A)1780
B)B)1250
C)C)10780
D)D)10500
E)E)8600
Rationale: Total fees = Rs.25000/-
Advance fees = 8280/-
Balance fees = 25000-8280= 16720
Paid amount = 18500/-
Incentive amount = 18500-16720 = 1780/-
Answer is A
Answer: A
Question: If a^2 + b^2 = 144 and ab ≠ 0, then the greatest possible value for b is between
Options:
A)16 and 13
B)12 and 3
C)11 and 4
D)10 and 5
E)9 and 6
Rationale: Since a ≠ 0, greatest possible value for b will be less than 12 but closer to it.
So it lies between 11 and 12
ANSWER:B
Answer: B
Question: A is thrice as good a workman as B & therefore is able to finish a job in 45 days less than B. In how many days they can finish the job if they work together?
Options:
A)10
B)11.25
C)12
D)13.45
E)14
Rationale: A is thrice as good a workman as B =>A = 3B
The ratio of efficiencies of A and B = 3:1
The ratio of the days taken by A and B to finish work is = 1: 3
B takes 45 days to finish the work => 3 parts = 45 days
A alone takes => 45/3x 1 = 15 days
A and B alone can finish the work is = AB/A+B
= 15 X 45/15 + 45
= 11.25
B
Answer: B
Question: Set A consists of the following unique integers: -2, 17, 3, n, 2, 15, -3, and -27; which of the following could be the median of set A?
Options:
A)13
B)1
C)5
D)67
E)7
Rationale: Whenever a question asks you to deal with the MEDIAN of a group of numbers, you MUST put the numbers in order from least to greatest (or at the very least,group offthe numbers so that you can restrict the potential value of the median).
Here, we have 8 values (one of the values is the variable N). We're told that the values are UNIQUE, so N CANNOT be any of the other 7 values listed. We're asked which of the following answers COULD be the median, so if we determine that one of the answer choices is a POSSIBLE median, then we can stop working....
Since the group includes 8 values, the median will be the AVERAGE of the 4th and 5th values...
Putting the 7 numbers in order, we have:
-27, -3, -2, 2, 3, 15, 17
This means that the2will either be the 4th term or the 5th term (depending on the value of N).
IF....
N is REALLY BIG, then the 4th and 5th terms will be 2 and 3, so the median will = 2.5
N is REALLY SMALL, then the 4th and 5th terms will be -2 and 2, so the median will = 0
Neither of those answers is among the choices though, so N must be something relativelycloseto 2.....
IF....
N = 0, then the 4th and 5th terms will be 0 and 2, so the median will = 1. That answer IS among the choices, so we're done.
B
Answer: B
Question: Find the number of different prime factors of 6440
Options:
A)4
B)2
C)3
D)5
E)6
Rationale: Explanation:
L.C.M of 6440 = 2 x 2 x 2 x 5 x 7 x 23
2, 5,7,23
Number of different prime factors is 4.
Answer: Option A
Answer: A
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Options:
A)7 sec
B)6 sec
C)9 sec
D)4 sec
E)3 sec
Rationale: Speed of train relative to man = (60 + 6) km/hr = 66 km/hr
[66 * 5/18] m/sec = [55/3] m/sec.
Time taken to pass the man = [110 * 3/55] sec
= 6 sec
Answer:B
Answer: B
Question: If Tim had lunch at $60.80 and he gave 20% tip, how much did he spend?
Options:
A)$30.60
B)$60.60
C)$72.96
D)$40.60
E)$50.60
Rationale: The tip is 20% of what he paid for lunch. Hence
tip = 20% of 60.80 = (20/100)*60.80 = $12.16
Total spent
60.80 + 12.16 = $72.96
correct answer C
Answer: C
Question: In a group of cows and chickens, the number of legs was 20 more than twice the number of heads. The number of cows was:
Options:
A)5
B)7
C)10
D)12
E)14
Rationale: Let the number of cows be x and their legs be 4x.
Let the number of chicken be y and their legs be 2x.
Total number of legs = 4x + 2y.
Total number of heads = x + y.
The number of legs was 20 more than twice the number of heads.
Therefore, 2 × (x + y) + 20 = 4x + 2y.
or, 2x + 2y + 20 = 4x + 2y.
or, 2x + 20 = 4x [subtracting 2y from both sides].
or, 20 = 4x – 2x [subtracting 2x from both sides].
or, 20 = 2x.
or, x = 10 [dividing by 2 on both sides].
Therefore, the number of cows = 10.
Correct Answer:C)10
Answer: C
Question: The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 2nd year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year?
Options:
A)36
B)38
C)40
D)42
E)48
Rationale: 1st year : 0-1 (age), we take age = 0 (as the question says that we have to(rounded down to the nearest integer))
2ndyear : 1-2 (age), we take age = 1
3rd year : 2-3 (age), we take age = 2
4th year : 3-4 (age), we take age = 3
5th year : 4-5 (age), we take age = 4
6th year : 5-6 (age), we take age = 5
Thus for the 2nd year = 50,
3rd year = 50- 2 = 48
4th year = 48-3 = 45
5th year = 45-4 = 41.
6th year= 41-5 = 36
The correct answer is A.
Answer: A
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 5 minutes?
Options:
A)120 m
B)200 m
C)170 m
D)100 m
E)250 m
Rationale: Relative speed of the thief and policeman = 11 - 10 = 1 km/hr.
Distance covered in 5 minutes = 1/60 * 5 = 1/12 km = 80 m.
Distance between the thief and policeman = 200 - 80 = 120 m
A
Answer: A
Question: What is the probability of rolling one six-sided dice, and getting a different number on each die?
Options:
A)1/12
B)1/3
C)1
D)5/9
E)7/18
Rationale: MAGOOSHOFFICIAL SOLUTION
For the first die, we can roll any one of six numbers. For the second die, we can roll any number save for the number we rolled on the first die, giving us 5 possibilities. For the third die, we can roll four different numbers (we can’t roll the number we rolled on the first or second die.
6= 6 possibilities out of 216 total possibilities. (For total possibilities we get 6 = 6).
6/ 6 =1
Answer: C.
Answer: C
Question: Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
Options:
A)23
B)180
C)287
D)137
E)192
Rationale: Explanation:
3x + 4x = 420
x = 60 => 3x = 180
Answer: B
Answer: B
Question: A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount. How much amount B have.
Options:
A)83.5%
B)87.5%
C)88.5%
D)89.5%
E)484 rupees
Rationale: Explanation:
In this type of question, we will first try to calculate the ratio of two persons. Once we get ratio then we can easily get our answer. So lets solve this.
4/15A= 2/5B
A=(2/5∗14/4)B
A=3/2B
A/B=3/2
A:B=3:2
B's Share = 2/5∗1210=484
Option E
Answer: E
Question: A man can swim in still water at 7.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Options:
A)1.7
B)1.4
C)2.5
D)1.5
E)1.1
Rationale: M = 7.5
S = x
DS = 7.5 + x
US = 7.5 + x
7.5 + x = (7.5 - x)2
7.5 + x = 15 -2x
3x = 7.5
x = 2.5
Answer: C
Answer: C
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Options:
A)2.89
B)2.88
C)2.82
D)2.87
E)2.84
Rationale: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer:B
Answer: B
Question: A boat can move upstream at 30 kmph and downstream at 35 kmph, then the speed of the current is?
Options:
A)5
B)6
C)7
D)8
E)2.5
Rationale: US = 30
DS = 35
M = (35 - 30)/2 = 2.5
Answer: E
Answer: E
Question: The ratio of two numbers is 3:4 and their sum is 14. The greater of the two numbers is?
Options:
A)12
B)14
C)16
D)8
E)19
Rationale: 3:4
Total parts = 7
= 7 parts --> 14 (7 Ã— 2 = 14)
= 1 part ---->2 (1 Ã— 2 = 2)
= The greater of the two number is = 4
= 4 parts ----> 2 (2 Ã— 4 = 8)
D)
Answer: D
Question: The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
Options:
A)52.7
B)52.9
C)52.4
D)52.5
E)52.1
Rationale: Sum of the marks for the class of 30 students = 30 * 40 = 1200
Sum of the marks for the class of 50 students = 50 * 60 = 3000
Sum of the marks for the class of 80 students =
1200 + 3000 = 4200
Average marks of all the students = 4200/80 = 52.5
Answer: D
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Options:
A)878
B)768
C)800
D)778
E)876
Rationale: 25 = E/(1000 - E) * 100
1000 - E = 4E
1000 = 5E => E = 200
1000 - 200 = 800
Answer:C
Answer: C
Question: A man saves Rs 150 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Options:
A)Rs 452
B)Rs 492.01
C)Rs 496.52
D)Rs 496.03
E)None of these
Rationale: Explanation:
=[150(21/20Ã—21/20Ã—21/20)+150(21/20Ã—21/20)+150(21/20)]=496.52
Option C
Answer: C
Question: A number when divided by 214 gives a remainder 35, what remainder will be obtained by dividing the same number 14?
Options:
A)7
B)10
C)11
D)2
E)3
Rationale: Explanation:
214 + 35 = 249/14 = 11 (Remainder)
Answer: C
Answer: C
Question: If x is chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, then what is the probability that xy will be even?
Options:
A)5/6
B)2/6
C)2by3
D)1/2
E)1/4
Rationale: S = {(1,5), (1,6), (1,7), (2,5), (2,6), (2,7), (3,5), (3,6), (3,7), (4,5), (4,6), (4,7)}
Total element n(S) = 12
xy will be even when even x or y or both will be even.
Events of xy being even is E.
E = {(1,6), (2,5), (2,6), (2,7), (3,6), (4,5), (4,6), (4,7)}
n(E) = 8
P(E) = n(E)/n(S)
= 8/12
= 2/3
ANSWER:C
Answer: C
Question: A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 5 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
Options:
A)0.5< t < 0.75
B)1.75< t < 2.0
C)1.0 < t < 1.5
D)2.5 < t < 3.0
E)3 < t < 3.5
Rationale: D=2, and R=1
circumference thus is 2pi miles
we know that she walked 5mph
knowing the formula rt=D, we can deduce that t= D/r
D is 2pi miles and r is 5mph
t = 2pi/5
pi can be rewritten as 22/7
2*22/7 = 44/7 and multiply this by 1/5 = 44/35. This is greater than 1, but less than 1.5, therefore, 1<t<1.5. Answer choice C.
Answer: C
Question: A horse and cow were sold for Rs.12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire transaction resulted in :
Options:
A)No loss or gain
B)Loss of Rs.1000
C)Gain of Rs.1000
D)Gain of Rs.2000
E)None of these
Rationale: Explanation:
In the special case of profit and loss percentages are equal and Selling price is same, then the transaction always results in Loss. This loss percentage is given by a simple formula −(x/10)2
So in this case, Profit% = Loss% = 20. So x = 20
Loss percentage = −(20/10)2=−4
Total S.P = Rs.24000
Cost price = 24000×100/96 = 25000
Loss = Rs.1000
Correct Option : B
Answer: B
Question: A train passes a station platform in 42 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)177 m
B)176 m
C)240 m
D)187 m
E)330 m
Rationale: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 42 = 15
x + 300 = 630
x = 330m.
Answer: E
Answer: E
Question: The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?
Options:
A)77 years
B)67 years
C)20 years
D)55 years
E)61 years
Rationale: Explanation:
Clue : (60 - x) - 6 = 5(x - 6)
Answer: C
Answer: C
Question: In how many ways can you seat 7 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
Options:
A)720
B)1720
C)2880
D)5040
E)10080
Rationale: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 4 chairs to sit. The remaining 6 people can sit in 6! ways. Thus the # of arrangements is 4*6! = 2,880.
Answer: C.
Answer: C
Question: Which of the following fractions is the largest?
Options:
A)5/6
B)11/14
C)12/15
D)17/21
E)29/35
Rationale: another way is by taking LCM of denominators(2*3*5*7)
(a) 175 (as lcm is 2*3*5*7 where 2*3 part is already in denominator just multiply 5*7 to numerator) ,similarly
(b) 165
(c)168
(d)170
(e)174
clearly (a) is largest..
Ans A
Answer: A
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Options:
A)17608
B)17606
C)17604
D)17600
E)117601
Rationale: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 110/100 = Rs. 17600.Answer: D
Answer: D
Question: An automobile company has a production target to get profits annually. The target production this year is 1/10 of last year's production. If the target production is reduced by 20% of last year's target what percentage of target production of last year's target does he need to complete in order to get profit?
Options:
A)15/20
B)17/10
C)6/20
D)4/5
E)14/20
Rationale: We have 1/10 and 20% that is 1/5
Let us assume the last year's target to be 20
This year's target is 20% less than last year's target=16
The target reached this year is 1/10*20=2
Remaining is 16-2=14
Required 14/20
Answer (E)
Answer: E
Question: A merchant has announced 25% rebate on prices of ready-made garments at the time of sale. If a purchaser needs to have a rebate of Rs. 400, then how many shirts, each costing Rs. 320, should he purchase?
Options:
A)10
B)7
C)6
D)5
E)4
Rationale: Solution: Discount on one shirt,
= 25% of 320 = 320*25/100 = Rs. 80.
Hence, number of shirt he must buy to get a rebate of Rs. 400 = 400/80 = 5.
Answer: Option D
Answer: D
Question: A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are?
Options:
A)Rs. 10,500, Rs. 13,500, Rs. 16,500
B)Rs. 10,500, Rs. 13,500, Rs. 16,509
C)Rs. 10,500, Rs. 13,500, Rs. 16,555
D)Rs. 10,500, Rs. 13,500, Rs. 16,506
E)Rs. 10,500, Rs. 13,500, Rs. 16,504
Rationale: A:B:C = 35000 : 45000 : 55000 = 7:9:11
A's share = 40500 * 7/27 = Rs. 10500
B's share = 40500 * 9/27 = Rs. 13500
C's share = 40500 * 11/27 = Rs. 16500
Answer: A
Answer: A
Question: If k is a positive even integer, what is the smallest possible value of k such that 3675*k is the square of an integer?
Options:
A)3
B)9
C)12
D)15
E)20
Rationale: 3675=31∗52∗72
Now , is the most important part of this question
K must be even ( negate options A, B and D ) W e are left with C and E
Try one to confirm the answer...
Let's try (E)
20=22∗51
3675∗20=22∗31∗53∗72 ( Can not square of an Integer )
So, Answer must be (C)....
Answer: C
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 80 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
A)60 miles
B)80 miles
C)90 miles
D)130 miles
E)400 miles
Rationale: Answer = D. 130 miles
Relational speed = 130 - 80 = 50 miles per hour
In 3 hours, difference = 50 * 3 = 150 miles
Fast train trailing 20 miles, so effective difference = 150 - 20 = 130 miles
Answer: D
Question: An oil cylinder was 3/4th full. When SIX bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold?
Options:
A)120
B)115
C)140
D)130
E)135
Rationale: (4/5 -3/4) cylinder is filled by 6 bottles
0.8 -0.75 = 0.05 cylinder is filled by 6 bottles
1 cylinder is filled by 6/0.05 = 120 bottles
ANSWER:A
Answer: A
Question: How many cuboids of length 5 m, width 6 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
Options:
A)4
B)6
C)10
D)8
E)11
Rationale: (18 Ã— 15 Ã— 12)/(5 Ã— 3 Ã— 2) = 6
Answer is B.
Answer: B
Question: What is the units digit of (22^4)(16^3)(41^8)?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: The units digit of 22^4 is the units digit of 2^4 which is 6.
The units digit of 16^3 is the units digit of 6^3 which is 6.
The units digit of 41^8 is the units digit of 1^8 which is 1.
The units digit of 6*6*1 is 6.
The answer is E.
Answer: E
Question: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 14 men leave the bus and seven women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
Options:
A)63
B)30
C)36
D)45
E)46
Rationale: Explanation:
Originally, let number of women = x. Then, number of men = 2x.
So, in city Y, we have : (2x - 14) = (x + 7) or x = 21.
Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 63.
Answer: A
Answer: A