divelab/Sys2Bench huggingface dataset:
Question: water is continuously poured from a reservoir to a locality at the steady rate of 10,000 liters per hour. When delivery exceeds demand the excess water is stored in a tank. If the demand for 8 consecutive three-hour periods is 10000,10000,45000,25000,40000,15000,60000 and 35000 liters respectively, what will be the minimum capacity required of the water tank (in 1000 litres) to meet the demand?
Options:
A)20
B)30
C)40
D)50
E)60
Rationale: in the period of first 3 hrs, the demand of water = 10000.
but the water poured by 10000 per hour.
Thus the end of 3 hours it will poured 30000 ltr then the excess of water = 20000.
Similarly at the end of 2nd 3 hr period the excess of water 20000+20000 = 40000.
Third, 3 hrs water poured = 30000
already we have 40000 of excess water and demand 45000.
Then the excess water at the end of 3rd 3 hrs
= 40000+30000–45000
= 25000
Fourth 3 hrs. water = 25000+30000–25000
= 30000
Fifth = 30000+30000–40000
= 20000
Sixth = 20000+30000–15000=35000
Seventh = 35000+30000–60000
= 5000
Eighth = 5000+30000–35000
= 0
By analyzing the above results, we have 40000 ltrs is the highest measure of excess water.
So the minimum capacity of water tank = 40000 litres = 40
i.e. = 40
ANSWER:C
Answer: C
Question: If an article is sold at 18% profit instead of 11% profit, then the profit would be $56 more. What is the cost price?
Options:
A)$600
B)$800
C)$1000
D)$1200
E)$1400
Rationale: 7% * cost price = $56
1% * cost price = $56 / 7 = $8
The cost price is $800.
The answer is B.
Answer: B
Question: If the tens digit of positive integers x, y are 6, how many values of the tens digit of 2(x+y) can be there?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: If X=y=60, 2(x+y)=240 is derived. If x=y=69, 2(x+y)=276 is derived, which makes 4,5,6,7 possible for the tens digit. Therefore, the answer is C.
Answer: C
Question: Three-fourth of a positive number and 25/216 of its reciprocal are equal. The number is:
Options:
A)5/12.72
B)12/5
C)25/144
D)144/25
E)146/25
Rationale: Let the number be x. Then,
3/4 x = 25/216 * 1/x
x2 = 25/216 * 4/3 = 25/162
x = 5/12.72
ANSWER:A
Answer: A
Question: The guidelines at a certain college specify that for the introductory English class, the professor may choose one of six specified novels, and choose two plays from a list of 6 specified plays. Thus, the reading list for this introductory class has one novel and two plays. How many different reading lists could a professor create within these parameters?
Options:
A)60
B)70
C)80
D)90
E)100
Rationale: 6C1*6C2 = 6*15 = 90
The answer is D.
Answer: D
Question: The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Options:
A)Rs.4589
B)Rs.4528
C)Rs.4528
D)Rs.4530
E)Rs.4537
Rationale: Area of the four walls = 2h(l + b)
Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.
Total cost = 906 * 5 = Rs.4530
Answer:D
Answer: D
Question: In N is a positive integer less than 200, and 27N/60 is an integer, then N has how many different positive prime factors?
Options:
A)2
B)3
C)5
D)6
E)8
Rationale: (A).
27n/60 must be an integer. => 9n/20 must be an integer. Hence n must be a multiple of 2*5.
=> n has 2 different prime integers.
Answer: A
Question: Adding 20% of x to x is equivalent to multiplying x by which of the following?
Options:
A)12.5
B)1.05
C)1.15
D)1.2
E)1.25
Rationale: 120x/100= 1.2*x
ANSWER:D
Answer: D
Question: Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations T of classes are available?
Options:
A)3
B)T=6
C)T=7
D)T=9
E)T=12
Rationale: I think it should be E only.
No where it is given that he attends different classes on each day.
Experts please provide your views.
--- EDITED my Response. It was a typo. I meant 12 is the answer.
If only Day 1 : 3 options
If Day 1 and Day 2 : 3*3 = 9 Options
So, Total = 3+9= 12.
Answer: D
Question: How many different possible arrangements A can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
Options:
A)360
B)720
C)900
D)1800
E)5040
Rationale: Total ways for arranging without restriction = 7!/ (2!2!) { 2! is becoz of two T's and other 2! for two I's)
Restriction : atleast one character between I's = Possible ways - both I's together i.e.o character between I's
_ _ _ _ _ (I I)
Both I's Together = 6! (Assuming 2 I's as one unit) /2!(for 2 T's) * 2! (No of arrangements of 2 I's)/2! (for 2 I's)
=6!/2!
Therefore ans A= 7!/ (2!2!) -6!/2! = 900
HENCE C.
Answer: C
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Options:
A)278
B)270
C)876
D)279
E)367
Rationale: I = (500*9*6)/100
= 270
Answer: B
Answer: B
Question: . Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Options:
A)2000
B)2009
C)2007
D)20054
E)2002
Rationale: (10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
Answer: A
Answer: A
Question: At 6′o a clock ticks 6 times. The time between first and last ticks is 20 seconds. How long does it tick at 12′o clock
Options:
A)47
B)76
C)44
D)66
E)11
Rationale: Explanation:
For ticking 6 times, there are 5 intervals.
Each interval has time duration of 20/5 = 4 secs
At 12 o'clock, there are 11 intervals,
So total time for 11 intervals = 11 × 4 = 44 secs.
Answer: C
Answer: C
Question: How much 50% of 56 is greater than 30% of 50?
Options:
A)18
B)99
C)13
D)55
E)71
Rationale: (50/100) * 56 – (30/100) * 50
28 - 15 = 13
Answer: C
Answer: C
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Options:
A)10
B)15
C)12
D)16
E)18
Rationale: Explanation:
1/6 â€“ 1/15 = 1/10 => 10
ANSWER IS A
Answer: A
Question: The closest approximation of F(69.28 × 0.004)/0.03 is
Options:
A)0.092
B)0.92
C)9.2
D)92
E)920
Rationale: F(69.28 × 0.004)/0.03
1. 0.004 = 4 × 10^(-3)
2. 0.03 = 3 × 10^(-2)
3. (a × b)/c = a × (b/c)
4. 0.004/0.03 = 4 × 10^(-3)/ (3 × 10^(-2)) = 4 × 10^( -3 - (-2))/3 = 4 × 10^(-1) / 3 = (4/3) × 10^(-1) = 1.333 × 10^(-1)
Therefore,
(69.28 × 0.004)/0.03 = 69.28 × (0.004/0.03) = 69.28 × 1.33 × 10^(-1) = 69.28 × 1.33/10 = 6.928*1.33
Now,
7 × 2 = 14
7 × 1 = 7
or better:
6.9 × 1 = 6.9
6.9 × 2 = 13.8
hence,
6.9 <6.928 × 1.33 < 13.8
9.2 is the only answer that satisfies this condition.C
Answer: C
Question: The number of natural numbers n such that (n+1)^2/(n+7) is an integer, is ?
Options:
A)4
B)5
C)6
D)7
E)8
Rationale: we can use (n+1)^2 greater than (n+7) which gives n>2,-3........now there are four integers -2.-1,0,1 in between -3 and 2.
so answer is 4.
ANSWER:A
Answer: A
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Options:
A)5, 12, and 8 kg
B)6, 12, and 8 kg
C)7, 12, and 8 kg
D)8, 12, and 8 kg
E)None
Rationale: Solution:
Let x be the amount Peter picked. Then Mary and Lucy picked 2x and x+2x+2, respectively. So
x+2x+x+2=26
4x=24
x=6
Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.
Answer B
Answer: B
Question: If a = 105 and a^3= 21 * 25 * 315 * b, what is the value of b?
Options:
A)35
B)7
C)45
D)49
E)54
Rationale: First step will be to break down all the numbers into their prime factors.
105 = 3 * 5 * 7
21 = 7 * 3
25 = 5 * 5
315 = 3 * 3 * 5*7
so, (105)^3 = 3 * 7 * 5 * 5 * 3 *3 *5*7 *b
Therefore (3 * 5 * 7) ^ 3 = 3^3 * 5^3 * 7^2 *b
Therefore, b = 3^3 * 5^3 * 7 ^3/3 ^3 * 5 ^3 * 7^2
b = 7
Correct answer B.
Answer: B
Question: A chair is bought for Rs.600/- and sold at a loss of 10% find its selling price?
Options:
A)Rs.540/-
B)Rs.560/-
C)Rs.580/-
D)Rs.590/-
E)Rs.600/-
Rationale: 100 % ------> 600 (100 * 6 = 600)
90 % ------> 540 (90 * 6 = 540)
Selling price = Rs.540/-
Option 'A'
Answer: A
Question: A single discount equivalent to the discount series of 15%, 10% and 5% is?
Options:
A)27.325
B)31.0
C)31.6
D)31.1
E)31.5
Rationale: 100*(85/100)*(90/100)*(95/100)
= 68.4
100 - 72.675 = 27.325
Answer: A
Answer: A
Question: If n is a prime number, which of the following could be true
Options:
A)n^n=n
B)n^2/4= is even
C)(n)(n^n) = is negative
D)n^n/4 = 1^(n-1)
E)n^2+n^3= n^5
Rationale: D should be the answer.
2^2/4 = 1^(2-1)
Answer: D
Question: What is the product of the greatest 2 digit multiple of 13 and the greatest 2 digit prime number?
Options:
A)9,312
B)9,408
C)9,506
D)8,827
E)9,702
Rationale: the greatest 2 digit multiple of 13: 91
the greatest 2 digit prime numebr: 97
97*91.
8827
D
Answer: D
Question: In the rectangular coordinate system, what is the area of triangle CDE with points
C=(3,3)
D=(1,4)
E=(8,0)
Options:
A)0.6
B)0.75
C)0.9
D)0.5
E)0.3
Rationale: Use the formula of the distance formula
square root (x2-x1)^2+(y2-y1)^2
Do this for each of the sides and then the value is given as D.
Answer: D
Question: H, Be, F, S, Mn, Kr, In, Gd, Tl, ?
What's the next in the sequence ?
Options:
A)Fm
B)Ks
C)gh
D)kl
E)Zd
Rationale: A
Fm.
These are the chemical elements whose atomic numbers are perfect squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Answer: A
Question: Pipe A can fill a tank in 12 hours. Due to a leak at the bottom, it takes 18 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Options:
A)36
B)87
C)40
D)37
E)86
Rationale: Let the leak can empty the full tank in x hours 1/12 - 1/x = 1/18
=> 1/x = 1/12 - 1/18 = (3 - 2)/36 = 1/36
=> x = 36.
Answer: A
Answer: A
Question: A man has Rs. 160 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Options:
A)45
B)60
C)30
D)90
E)95
Rationale: Let number of notes of each denomination be x.
Then x + 5x + 10x = 160
16x = 160
x = 10.
Hence, total number of notes = 3x = 30.
Answer: Option C
Answer: C
Question: Two cars cover the same distance at the speed of 50 and 63 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
Options:
A)212 km
B)214 km
C)224 km
D)216 km
E)231 km
Rationale: 50(x + 1) = 63x
X = 3.85
60 * 3.85 = 231 km
ANSWER:E
Answer: E
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water in ?
Options:
A)10hr
B)14hr
C)12hr
D)9hr
E)15hr
Rationale: Work done by the leak in 1 hour = 1/2 - 3/7 = 1/14
Leak will empty the tank in 14 hrs
Answer is B
Answer: B
Question: Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
Options:
A)42
B)36
C)28
D)20
E)24
Rationale: Explanation:
Distance covered = 120+120 = 240 m
Time = 12 s
Let the speed of each train = v. Then relative speed = v+v = 2v
2v = distance/time = 240/12 = 20 m/s
Speed of each train = v = 20/2 = 10 m/s
= 10×36/10 km/hr = 36 km/hr
Answer: Option B
Answer: B
Question: If 5a + 7b = l, where a and b are positive integers, what is the largest possible value of l for which exactly one pair of integers (a, b) makes the equation true?
Options:
A)35
B)48
C)69
D)70
E)74
Rationale: 5*a1 + 7*b1 = l
5*a2 + 7*b2 = l
5*(a1 - a2) = 7*(b2 - b1)
since we are dealing with integers we can assume that a1 - a2 = 7*q and b2 - b1 = 5*q where q is integer, so whenever we get a pair for (a;b) we can find another one by simply adding 7 to a and subtracting 5 from b or vice versa, subtracting 7 from a and adding 5 to b.
Lets check how it works for our numbers, starting from the largest:
E)74 = 5*12 + 7*2 (a1 = 12, b1 = 2), subtract 7 fromaand add 5 tobrespectively, so a2 = 5 and b2 = 7, second pair - bad
D)70 = 5*7 + 7*5 (a1 = 7, b1 = 5), if we add 7 toawe will have to subtract 5 from b but b can't be 0, so - no pair, if we subtract 7 froma, we'll get a = 0 which also isn't allowed - no pair, thus this is the only pair for (a;b) that works,good!, thus
D is the answer
Answer: D
Question: An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors does the number 4x have?
Options:
A)4y
B)3y
C)16y
D)5y
E)Cannot be determined
Rationale: Let’s express x as a product of its prime factors:
x=2a∗3b∗5c∗…x=2a∗3b∗5c∗…
Total number of its positive divisors will be
(a+1)∗(b+1)∗(c+1)∗…=y(a+1)∗(b+1)∗(c+1)∗…=y
Now we’ll do the same for the 4x
4x=22∗2a∗3b∗5c∗…=2a+2∗3b∗5c…4x=22∗2a∗3b∗5c∗…=2a+2∗3b∗5c…
Total number of positive divisors of 4x will be
(a+3)∗(b+1)∗(c+1)…=y′(a+3)∗(b+1)∗(c+1)…=y′
For easier calculations let’s take (b+1)∗(c+1)∗…=z(b+1)∗(c+1)∗…=z
We have: (a+3)∗z=y′(a+3)∗z=y′
(a+1+2)∗z=y′(a+1+2)∗z=y′
(a+1)∗z+2∗z=y′(a+1)∗z+2∗z=y′
y+2∗z=y′y+2∗z=y′
So, as we can see, in order to find out the total # of positive divisors of 4x we need to know # of odd divisors of x, which is not given in the question.
Answer E.
Answer: E
Question: What is Sonia’s present age?
I.	Sonia’s present age is five times Deepak’s present age.
II.	Five years ago her age was twenty-five times Deepak’s age at that time.
Options:
A)I alone sufficient while II alone not sufficient to answer
B)II alone sufficient while I alone not sufficient to answer
C)Either I or II alone sufficient to answer
D)Both I and II are not sufficient to answer
E)Both I and II are necessary to answer
Rationale: EXPLANATION
I. S = 5D D = s/5….(i)
II. S – 5 = 25 (D – 5) <=> S = 25D – 120 ….(ii)
Using (i) in (ii), we get S =(25 x S/5) - 120
4S = 120.
S = 30.
Thus, I and II both together give the answer. answer is (E).
Answer: E
Question: 6 boys and 4 girls appeared in a exam. If 4 students are failed how many chances at least one girl is failed?
Options:
A)198
B)200
C)190
D)195
E)180
Rationale: 4 girls and 6 boys. Four students is failed
It is always better to subtract the total from none in case of at least one problems.
Total ways = 10C4 = 210
Total ways without any girls = 6C4 = 15
Hence ways in which at least one man will be present = 210 - 15 = 195
Correct option: D
Answer: D
Question: How long will a boy take to run round a square field of side 30 meters, if he runs at the rate of 12km/hr?
Options:
A)52sec
B)45sec
C)60sec
D)25sec
E)36sec
Rationale: Speed = 12 km/hr = 12*5/18 = 10/3 m/sec
Distance = 30*4 = 120m
Time taken = 120*3/10 = 36sec
Answer is E
Answer: E
Question: A motor pool has 800 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?
Options:
A)65%
B)52%
C)45%
D)30%
E)10%
Rationale: Trucks = 30% of 800 = 240
Other Vehicles (Excluding Trucks) = 800-240 = 560
Diesel Vehicle = 20% of 800 = 160 (Including 15 Trucks)
Other Diesel Vehicles (Excluding Trucks) = 160-15 = 145
Trucks that are NOT diesel = 240 - 15 = 225
Other Vehicles that are NOT diesel Vehicles = 560-145 = 415
Required % = (415/800)*100 = 51.87%=52%
Answer: option B
Answer: B
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $570 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Options:
A)23,500
B)24,500
C)25,500
D)26,500
E)27,500
Rationale: Let the weekly sales of both = x
570+(x−1000)8/100=10/100x
x = 24500
ANSWER:B
Answer: B
Question: 46-3*4^2+15 = ?
Options:
A)287
B)-13
C)-73
D)13
E)None
Rationale: 46-3*4^2+15
= 46-3*16+15=20-48+15=13..
D
Answer: D
Question: What is the next number of the following sequence
5, 25, 61, 113,?
Options:
A)118
B)181
C)132
D)144
E)121
Rationale: 5, 25, 61, 113, x
1^2 + 2^2 = 5
3^2 + 4^2 = 25
5^2 + 6^2 = 61
7^2 + 8^2 = 113
9^2 + 10^2 = x ====> x = 181
ANSWER:B
Answer: B
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Options:
A)350
B)300
C)400
D)450
E)500
Rationale: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
ANSWER A
Answer: A
Question: The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random from the container, the probability that the widget selected is defective is 0.053. What is the value of x?
Options:
A)0.03
B)0.04
C)0.048
D)0.05
E)0.12
Rationale: Probability of Brand A defective is x
Probability of Brand B defective is 0.06 which 6/100. Which tells you there are 2 defective piece in a lot of 33, for 35 lot it is approx - 2.12
Probability of Brand C defective is 0.08 which 8/100. Which tells you there are 2 defective piece in a lot of 25
Total = 40 + 25 + 25 = 100
Probability of having defective piece in a lot of 100 ( All brands ) = 0.053
Hence 5.3 defective piece out 100 lot.
So 40x + 2.12 + 2 = 5.3
x = 0.03
ANSWER :Opt A.
Answer: A
Question: Victor gets 80 % marks in examinations. If these are 240 marks, find the maximum marks.
Options:
A)334
B)300
C)376
D)288
E)271
Rationale: Let the maximum marks be m
Then 80 % of m = 240
⇒ 80/100 × m = 240
⇒ m = (240 × 100)/80
⇒ m = 24000/80
⇒ m = 300
Therefore, maximum marks in the examinations are 300
Answer:B
Answer: B
Question: Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 59.4. The difference between the unit digit and hundreds digit of that number is :
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Since the average increased by 59.4 and there were a total of 10 numbers, it means the incorrect number was 297 greater than the correct number.
Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)
Then the incorrect number was cba.
100c + 10b + a - (100a + 10b + c) = 594
99c - 99a = 99(c - a) = 594
594 = 99*6 = 99(c - a)
So c - a = 6
Answer (D)
Answer: D
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Options:
A)128 m
B)125 m
C)198 m
D)276 m
E)279 m
Rationale: D = 90 * 5/18 * 5
=125 m
Answer: B
Answer: B
Question: John has taken four (8) tests that have an average of 82. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
Options:
A)87
B)90
C)92
D)107
E)97
Rationale: 87-82=5*8=40 points
2*87=174
174+40=214 points to be scored in the 2 tests.
Avg of 2 tests = 214/2=107
Answer: D
Traditional Method:
Total scored till now 82*8=656
Total score to avg 87 in 10 tests = 87*10=870
Total to be scored on 2 tests = 870-656=214
Avg on 2 tests = 214/2 = 107
Answer D
Answer: D
Question: If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean?
I. 13.2
II. 12.3
III. 9.3
Options:
A)I only
B)I and II only
C)II only
D)III only
E)I and III only
Rationale: Mean = 12
SD = 1.3
2 SD above mean = 12+2*1.3 = 14.6
2 SD below mean = 12-2*1.3 = 9.4
12.3 and 13.2 lies in the range of 2SD from mean
Answer: Option D
Answer: D
Question: If Shreehari walks in the speed of 4.5 km/hr from his house, in what time will he reach his school which is 750 m long from his house?
Options:
A)5
B)30
C)10
D)12
E)15
Rationale: Speed = 4.5 * 5/18 = 1.25 m/sec
Time taken = 750/1.25 = 600 sec ie. 10 mins.
Answer:C
Answer: C
Question: At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 60 other employees of Company K, how many employees does Company K have?
Options:
A) 240
B) 180
C) 190
D) 200
E) 400
Rationale: Let the total number of employees in the company be x
% of secretaries = 15%
% of salespeople = 60%
% of of employees other than secretaries and salespeople = 100 - 75 = 25%
But this number is given as 60
so 25% of x = 60
x = 240
Therefore there a total of 240 employees in the company K
Correct answer - A
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Options:
A)40
B)45
C)48
D)51
E)44
Rationale: Relative speed = 45 + 30 = 75 km/hr.
75 * 5/18 = 125/6 m/sec.
Distance covered = 500 + 500 = 1000 m.
Required time = 1000 * 6/125 = 48 sec.
Answer: Option C
Answer: C
Question: How many minutes does it take Sharuk to type 25 words if he types at the rate of 5 words per minute?
Options:
A)3
B)5
C)8
D)15
E)7
Rationale: time*rate=job --> time*5=25 --> time=25/5=5.
Answer: B.
Answer: B
Question: 96% of the population of a village is 23040. The total population of the village is?
Options:
A)24000
B)25000
C)15000
D)1750
E)2589
Rationale: Explanation:
X * (96/100) = 23040
X = 240 * 100
X = 24000
A
Answer: A
Question: The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability C that Tommy CANNOT form a triangle from the 3 sticks?
Options:
A)11/32
B)13/32
C)15/32
D)17/32
E)19/32
Rationale: In order to form a triangle, the sum of two sides must be greater than the third side.
So we can choose the combination of numbers which will NOT result in a triangle.
Favorable outcomes:
1,1,4 (4>1+1): 3 ways of arriving at this (1,1,4), (1,4,1), (4,1,1) or
1,2,4 (4>1+2): 6 ways of arriving at this (1,2,4), (1,4,2), (2,1,4), (2,4,1), (4,1,2), (4,2,1) which is same as 3!
1,3,4 (4=1+3): 6 ways of arriving at this
2,2,4 (4=2+2): 3 ways of arriving at this
1,1,3 (3>1+1): 3 ways of arriving at this
1,2,3 (3=1+2): 6 ways of arriving at this
1,1,2 (2+1+1): 3 ways of arriving at this
Overall favourable outcomes: 30
Total outcomes: 4*4*4 = 64 (4 ways of choosing a stick from each of the 3 bags)
Probability C that a triangle is not formed = 30/64 = 15/32
C is the correct option here.
Answer: C
Question: I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 75 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ?
Options:
A)8715
B)0152
C)3581
D)5625
E)9126
Rationale: D
5625
n^1
75 * 75 = 5625 (sum of first 75 odd numbers).
50 * 50 = 2500 (sum of first 50 odd numbers).
Answer: D
Question: Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Interest on Loans and Transport	Bonus	Fuel	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
The total amount of interest on loans paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
Options:
A)A)0.5%
B)B)1.5%
C)C)1.25%
D)D)3%
E)E)1%
Rationale: Required percentage
=	(288 + 342 + 324 + 336 + 420)
=	[	17	x 100	]	%
1710
~= 1%.
Answer : E
Answer: E
Question: Paul and John are in a relay race. Paul runs the first leg of the course in 22 seconds. Ben runs the second leg of the course in 53 seconds. What was the average time they took to run a leg of the course?
Options:
A)36.5
B)37.5
C)38.5
D)39.5
E)40.5
Rationale: (22 seconds +53 seconds)/2= 37.5 seconds
Correct option is: B
Answer: B