divelab/Sys2Bench huggingface dataset:
Question: How many positive integers less than 6,000 are there in which the sum of the digits equals 5?
Options:
A)65
B)62
C)61
D)56
E)58
Rationale: Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.
Let X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).
So, for example:
XX|X|X|X = 2111
||XXX|XX = 0032
etc.
There are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.
D
Answer: D
Question: An old priest fell on a bottom of the well of a church.
The well is 20 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
Options:
A)15-days
B)16-days
C)17-days
D)18-days
E)19-days
Rationale: Solution:
16-days
In 15-days, he will climb 15-inch and when he climbs 5 inch more, he will be out of the well
Answer B
Answer: B
Question: A merchant purchased a jacket for $42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Options:
A) $0
B) $3
C) $6
D) $12
E) $15
Rationale: Actual Cost = $42
SP = Actual Cost + Mark up
= Actual Cost + 30% SP
= 42*100/70
on sale SP = 80/100(42*100/70) = 48
Gross profit = $6
Answer is C
Answer: C
Question: What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 32?
Options:
A)A)90
B)B)100
C)C)160
D)D)70
E)of these
Rationale: Let the greater and the smaller number be g and s respectively.
gs = 2560
g + s exceeds g - s by 32 i.e., g + s - (g - s) = 32
i.e., 2s = 32 => s = 16
g = 2560/s = 160.
ANSWER:C
Answer: C
Question: A team scored a total of 84 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team?
Options:
A)A)6
B)B)7
C)C)8
D)D)9
E)E)10
Rationale: 84/14=6 plus remainder.
The answer is A.
Answer: A
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Options:
A)4 days
B)5 days
C)6 days
D)7 days
E)9 days
Rationale: Explanation:
Let 1 man's 1 day's work = x and 1 boy's 1 day's work = y.
Then, 6x + 8y =	1/10and 26x + 48y =	1/2
Solving these two equations, we get : x =	1/100 and y =	1/200
(15 men + 20 boy)'s 1 day's work =15/100 + 20/200 = 1/4
15 men and 20 boys can do the work in 4 days.
ANSWER IS A
Answer: A
Question: A wildlife preserve is being planned for 5,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?
Options:
A) 340
B) 560
C) 320
D) 310
E) 300
Rationale: Number of rhinos = 5000
Watering area = 10,000 acres
Number of rhino to increase by 10 percent ,then number of rhino = 5500
Grazing area for a rhino = 100
Total grazing area for 5500 rhinos= 5500 * 100 = 5,50,000
Total area required for the wildlife preserve = 5,50,000 + 10,000 = 5,60,000 = 560 * 1000
Answer B
Answer: B
Question: Average expenditure of a person for the first 3 days of a week is Rs. 340 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is:
Options:
A)350
B)370
C)380
D)430
E)None
Rationale: Explanation:
Assumed mean = Rs. 340
Total excess than assumed mean = 4 × (Rs. 420 - Rs. 350) = Rs. 280
Therefore, Increase in average expenditure = Rs. 280/7 = Rs. 40
Therefore, Average expenditure for 7 days = Rs. 340 + Rs. 40 = Rs. 380
Correct Option: C
Answer: C
Question: Two cars cover the same distance at the speed of 50 and 45 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car?
Options:
A)278
B)277
C)960
D)600
E)261
Rationale: 50(x + 1) = 45 x
X = 10
60 * 10 = 600 km
Answer:D
Answer: D
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is ?
Options:
A)1/8
B)1/7
C)1/0
D)1/2
E)1/3
Rationale: A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Saturday, Sunday}
Required Probability = 1/7
Answer:B
Answer: B
Question: In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?
Options:
A)18
B)14
C)22
D)24
E)26
Rationale: Explanation:
1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14
Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them
So minimum no. of boys standing in the queue = 14
Answer IS B
Answer: B
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 20% from the list price. It may be sold at a profit of 25% on the cost price?
Options:
A)62.5
B)62.3
C)62.7
D)74.2
E)62.9
Rationale: CP = 47.50
SP = 47.50*(125/100)
= 59.375
MP*(80/100)
= 59.375
MP = 74.2
Answer:D
Answer: D
Question: In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
Options:
A)200
B)210
C)230
D)56
E)270
Rationale: 8p2 = 8 X 7 = 56
D)
Answer: D
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Options:
A)56
B)28
C)20
D)72
E)27
Rationale: 1/x + 1/(x + 10) = 1/12
x = 20
Answer: C
Answer: C
Question: A Train usually travels at a speed of 72 kmph crossing a pole in 7 sec, what would be the length of the train?
Options:
A)140 m
B)142 m
C)146 m
D)152 m
E)158 m
Rationale: Explanation:
D = 72 * 5/18 * 7 = 140 m
Answer: Option A
Answer: A
Question: A plane flies 420 miles with the wind and 350 miles against the wind in the same length of time. If the speed of the wind is 23 mph, what is the speed of the plain in still air?
Options:
A)553 mph.
B)353 mph.
C)273 mph.
D)153 mph.
E)253 mph.
Rationale: The speed of the plane in still air = x miles/hour
The speed of the wind is 23 mph
Speed with the wind = (x + 23) mph
Speed against the wind = (x – 23) mph
Time = Distance/ Speed
According to the problem,
420/(x + 23) = 350/(x – 23)
420(x – 23) = 350(x + 23)
420x – 9660 = 350x + 805
420x – 350x = 8050 + 9660
70x = 17710
x = 17710/70
x = 253
Therefore, the speed of the plane in still air = 253 mph.
correct answer E
Answer: E
Question: A team won 40 percent of its first 30 games in a particular season, and 80 percent of its remaining games. If the team won a total of 60 percent of its games that season, what was the total number of games that the team played?
Options:
A)50
B)60
C)70
D)80
E)90
Rationale: 60% is 20%-points above 40% and 20%-points below 80%.
Thus the ratio of "the first 30 games" to "remaining games" is 1:1.
So the team played a total of 30+30 = 60 games.
The answer is B.
Answer: B
Question: $500 will become $1000 in 3 years find the rate of interest?
Options:
A)A)10%
B)B)20%
C)C)25%
D)D)33.33%
E)E)50%
Rationale: SI = simple interest = A-P = 1000-500 = $300
R = 100SI/PT = 100*500/500*3 =33.33%
Answer is D
Answer: D
Question: If M is the mean of x,y,z ; then what is the mean of x+20,y+20 and z+20
Options:
A)M
B)3M
C)10M
D)M+20
E)M-10
Rationale: If each number is shifted up by 20, the mean also shifts up by 20 since it stays in the middle. The whole set is shifted on the number line so mean will also shift by the same amount.
So new mean is M + 20.
Answer (D)
Answer: D
Question: 5 times the side of a square resulted in a parameter of 20x. What is the parameter before it was timed by 5?
Options:
A)4x
B)5x
C)10x
D)40x
E)2x
Rationale: The new parameter is 5 times the old parameter. The old parameter is therefore 20x/5. This is 4x. Answer option A.
Answer: A
Question: Mike and his friend are going on a road trip and hoping to miss traffic. If they are driving at a rate of 6 miles per minute, what is their speed in kilometers per hour? [1km = 0.6 miles]
Options:
A)60
B)30
C)300
D)600
E)None of the above
Rationale: To calculate the equivalent of kilometres in a mile
6 miles = 6*(0.6)^-1 = 10 kilometres
In 1 hour there are 60 minutes
Speed in kmph = 10 * 60 = 600
Correct answer - D
Answer: D
Question: Find the smallest positive integer n such that 11n - 1 is divisible by 105.
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: The last digit of 11n − 1 is 0, so 5 always divides 11n − 1. Also, checking the
remainders when the powers of 11 are divided by 3 and 7 we get that 3 divides 11n −1
exactly when n is even, and 7 divides 11n − 1 exactly when 3 divides n.
correct answer D
Answer: D
Question: A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in?
Options:
A)22
B)28
C)15
D)18
E)11
Rationale: Explanation:
P(1 + R/100)5 = 2P => (1 + R/100)5 = 2
Let P(1 + R/100)n = 8P
=> (1 + R/100)n = 8 = 23 = {(1 + R/100)5}3
=> (1 + R/100)n = (1 + R/100)15 => n = 15 Required time = 15 years.
Answer: C
Answer: C
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Options:
A)299
B)297
C)261
D)280
E)172
Rationale: 80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3
x = 280
Answer: D
Answer: D
Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 3?
Options:
A)6
B)0.6
C)n/6
D)6.2
E)π
Rationale: Maximum distance straight line is diameter
d = 2r = 6..
ANS option A.
Answer: A
Question: Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0
Options:
A)If x>y
B)If x>=y
C)If x<Y
D)If x<=y
E)x=y or relationship cannot be established
Rationale: Solution:-
X= +2/15 and -2/15
Y= 4/225
Comparing we get X>Y and X<y
Hence, no relationship can be established
E)
Answer: E
Question: A truck covers a distance of 288 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 90 km more than that travelled by the truck ?
Options:
A)6 hours
B)5 hours
C)7 hours
D)8 hours
E)None
Rationale: Explanation :
Speed of the truck = Distance/time = 288/8 = 36 kmph
Now, speed of car = (speed of truck + 18) kmph = (36 + 18) = 54 kmph
Distance travelled by car = 288 + 90 = 378 km
Time taken by car = Distance/Speed = 378/54 = 7 hours.
Answer –C
Answer: C
Question: A snail, climbing a 20 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
Options:
A)7
B)16
C)17
D)20
E)21
Rationale: total transaction in two days = 8-4 = 4 feet
in 7 days it will climb 20 feet
thus reaching the top
therefore , total no of days required =7
A
Answer: A
Question: The average of 6 observations is 13. A new observation is included and the new average is decreased by 1. The seventh observation is?
Options:
A)1
B)3
C)5
D)6
E)7
Rationale: Let seventh observation = X.
Then, according to the question we have
=> (78 + X) / 7 = 12
=> X = 6.
Hence, the seventh observation is 6.
ANSWER:D
Answer: D
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 15 seconds. Find the length of the faster train?
Options:
A)270
B)277
C)187
D)257
E)150
Rationale: Relative speed = (72 - 36) * 5/18 = 2 * 5 = 10 mps.
Distance covered in 15 sec = 15 * 10 = 150 m.
The length of the faster train = 150 m.
Answer: E
Answer: E
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 39° is?
Options:
A)40m2
B)45m2
C)49m2
D)51m2
E)55m2
Rationale: 39/360 * 22/7 * 12 * 12
= 49m2
Answer:C
Answer: C
Question: The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
Options:
A)3:4
B)3:0
C)3:1
D)3:2
E)3:7
Rationale: Let the present ages of A and B be 5x and 3x years respectively.
Then, (5x - 4)/(3x + 4) = 1/1
2x = 8 => x = 4
Required ratio = (5x + 4):(3x - 4) = 24:8 = 3:1.Answer: C
Answer: C
Question: c can run a kilometer race in 4 1/2 min while d can run same race in 5 min. How many meters start can c give d in a kilometer race, so that the race mat end in a dead heat?
Options:
A)m
B)m
C)m
D)m
E)m
Rationale: c can give d (5 min - 4 1/2 min) = 30 sec start.
The distance covered by d in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
c can give d 100m start.
ANSWER:D
Answer: D
Question: A marketing firm determined that, of 200 households surveyed, 80 used neither Brand E nor Brand B soap, 60 used only Brand E soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
Options:
A) 15
B) 20
C) 30
D) 40
E) 45
Rationale: SOLUTION FOR SOAP E AND SOAP B
(D) 40
Answer: D
Question: A customer pays 40 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker?
Options:
A)50
B)40
C)70
D)60
E)20
Rationale: Let x be the original price.
x - 20 = 40
x - 20 + 20 = 40 + 20
x + 0 = 60
x = 60
Answer is D
Answer: D
Question: The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?
Options:
A)15
B)66
C)77
D)30
E)42
Rationale: 90 * 20/60 = 30 kmph
Answer:D
Answer: D
Question: In a sequence of 42 numbers, each term, except for the first one, is 7 less than the previous term. If the greatest term in the sequence is 281, what is the smallest term in the sequence?
Options:
A)2
B)-2
C)0
D)8
E)-6
Rationale: Which term is the greatest? The first or the last? It is given to you that every term is 7 less than the previous term. Hence as you go on, your terms keep becoming smaller and smaller. The first term is the greatest term.
An = 281 + (42 - 1)*(-7)
An = 281 - 287 = -6
E
Answer: E
Question: A tour group of 25 people paid a total of $735 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?
Choices
Options:
A)$22
B)$23.94
C)$28
D)$25.20
E)$30
Rationale: Soln:-
735/25=x+0.05x
735/25=1.05x
x=28
ANSWER:C
Answer: C
Question: A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 5 km less in that time. Find his speed.
Options:
A)4 km/hr.
B)6 km/hr
C)8 km/hr
D)10 km/hr
E)None of these
Rationale: Explanation :
Solution: Let the speed be x km/hr. then,
15x - (15 * 29x/30) = 5
=> 30x-29x = 5*2
=> x =10 km/hr.
Answer : D
Answer: D
Question: If |x| = 4x - 2, then x = ?
Options:
A)1
B)1/2
C)1 and 1/2
D)-1/2
E)3
Rationale: Approach:
Substituted option A i.e x=3. Inequality satisfied.
E
Answer: E
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Options:
A)3630
B)3637
C)3630
D)3631
E)3635
Rationale: 6300:4200:10500
3:2:5
3/10 * 12100 = 3630
Answer: A
Answer: A
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)2 2 8/2
B)2 2 1/9
C)2 9 1/2
D)2 2 1/2
E)2 2 4/2
Rationale: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 1/2kmph
Answer:D
Answer: D
Question: A bag contains 6 white balls, 6 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
Options:
A)0.2
B)0.15
C)0.35
D)0.45
E)0.4
Rationale: Each ball has an equal probability of being the third ball drawn.
P(3rd ball is red) = 3/15 = 0.2
The answer is A.
Answer: A
Question: The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the children stand together?
Options:
A)12
B)24
C)50
D)48
E)120
Rationale: We need to find the number of arrangements of Father, Mother, Child-1, Child-2, and a Dog, so that C1 and C2 are always together.
Consider F and M to be one unit, then we would have total of four units: {F), {M}, {C1C2}, {D}. The number of arrangements of these four units is 4!, but C1 and C2 within their unit can be arranged in 2 ways: {c1c2} or {c2c1}, so total number of arrangements is 4!*2=48.
Answer: D.
Answer: D
Question: In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Options:
A)57%
B)82%
C)52%
D)22%
E)58%
Rationale: Total = 100
T= 40 NT= 60
40*(60/100)=24 60*(40/100)=24
24 + 24 = 48 => 100 - 48 = 52%
Answer:A
Answer: A
Question: Express of the following as a fraction:
25%
Options:
A)1/4
B)1/8
C)2/9
D)3/6
E)None of them
Rationale: 25% = 25/100= 1/4.
Answer is A.
Answer: A
Question: The larger interior angle of a parallelogram is 90° more than its smaller interior angle. What is the measure of the smaller interior angle of the parallelogram?
Options:
A)90°
B)75°
C)60°
D)45°
E)30°
Rationale: let smaller be x ,larger becomes x+90... total of all angles=360
so 4x+180=360 and x=45
ANSWER:D
Answer: D
Question: A is twice as good a work man as B and together they finish the work in 6 days. In how many days A alone can finish the work?
Options:
A)3
B)9
C)7
D)2
E)6
Rationale: WC = 2:1
2x + x = 1/6 => x = 1/18
2x = 1/9
A can do the work in 9 days.
Answer: B
Answer: B
Question: In what time will Rs.4600 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Options:
A)7 1/3
B)7 1/6
C)7 1/4
D)7 1/2
E)7 1/5
Rationale: (4600*3*R)/100 = (5000*5*4)/100
R = 7 1/4
Answer: C
Answer: C
Question: Sekar started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000. In 2001, Sekar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000. What will be Rajeev's share in the profit of Rs.2,70,000 earned at the end of 3 years from the start of the business in 1999?
Options:
A)Rs.45,000
B)Rs.50,000
C)Rs.90,000
D)Rs.75,000
E)none
Rationale: Solution
Sekar:Rajeev:Jatin=	(25000×12+35000×12+45000×12):(35000×24) : (35000×12)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajeev's share	=Rs.(270000×2/6)
= Rs.90000.
Answer C
Answer: C
Question: There are 350 snakes at a large zoo. The number of snakes is 5 times the number of all the other animals combined. How many more snakes are there than non snakes animals at the zoo?
Options:
A)400
B)360
C)300
D)280
E)200
Rationale: Answer is D.
Total snakes= 350 = 5 * Other Animals (X)
or X = 70.
So, Difference in snakes and X = 350-70 = 280.
Answer: D
Question: Find the present worth of Rs.930 due 3 years hence at 8% per annum.Aso find the discount?
Options:
A)2387
B)180
C)221
D)277
E)881
Rationale: Explanation:
\inline \fn_jvn P.W = \frac{100\times Amount}{100+(R\times T)}=Rs.\left [ \frac{100\times 930}{100+(8\times 3)} \right ]=Rs.750
T.D = Amount - P.W
= 930 - 750
= Rs.180
Answer: B) 180
Answer: B
Question: In the decimal expansion of (9/10)^4 what is the fourth digit to the right of the decimal point?
Options:
A) 2
B) 7
C) 1
D) 0
E) 5
Rationale: Step 1 Convert fraction to decimal with two decimal places 9/10 = 0.90 then convert to scientific number = 9*10^-1
Step 2 Multiply 9^4 by 10^-4
Step 3 9 has the sequence 9, 81, 729
Answer is C
Answer: C
Question: HCF and LCM two numbers are 20 and 396 respectively. If one of the numbers is 36, then the other number is?
Options:
A)36
B)66
C)132
D)264
E)220
Rationale: 20 * 396 = 36 * x
x = 220
ANSWER:E
Answer: E
Question: Oranges are purchased for $15/bag at the Farmer's Market. A bag weighs 3 lbs. The oranges are peeled and the seeds removed (removing 1/6 of the weight). Then, these oranges are squeezed and made into orange juice. It takes 1 lb of oranges to make an 8 ounce glass of orange juice, and it takes 128 ounces to make a gallon. How much money is needed to buy oranges to make x number of gallons of orange juice, in dollars?
Options:
A)20x
B)158x
C)x/15
D)2x/3
E)96x
Rationale: Initial cost for a bag = $15; since 1 bag = 3 lbs, 1 lb = $15/3, but ONLY 5/6 is used.
So the cost of 5/6 lb = $5, or 1 lb = $30/5,
and 1 lb of oranges = 8 oz of orange juice, but 128 oz are needed for 1 gal, so cost of 1 gal = $(30/5)(128oz/8oz) = $(30/5)(16) = $96
If 1 jar costs $96, x number of jars will cost $96x.
Answer is E
Answer: E
Question: It takes Avery 3 hours to build a brick wall while Tom can do it in 2 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Options:
A)20
B)30
C)40
D)50
E)60
Rationale: Avery takes 3 hours
Tom takes 2 hours
Efficiency of Avery is 1/3 units/hr
Efficiency of Tom is 1/2 units/hr
Combined efficiency of Tom and Avery is 1/3 +1/2 = 5/6 units/hr
Since they worked for 1 hour they completed 5/6 units of work and 1/6 units of work is left which is to be completed by Tom ( Since Avery left )
So Time taken by Tom to complete the remaining work will be 1/6/1/2 hours => 1/3*60 = 20 minutes...
Answer will be (A)
Answer: A
Question: Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $100?
Options:
A)4
B)12
C)15
D)20
E)24
Rationale: you could set-up a quick table and brute force the answer.
A	4	*	50	200 1800	-200 1600	26 61.54
B	12	*	50	600 1800	-600 1200	18 66.67
C	15	*	50	750 1800	-750 1050	15 70.00
D	20	*	50	1000 1800	-1000	800	10 80.00
E	24	*	50	1200 1800	-1200	600	6 100.00
Answer is E
Answer: E
Question: Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 40% and 40% savings. Assuming that they operate independently, what is the net saving achieved?
Options:
A)56%
B)64%
C)62.2%
D)68%
E)74.8%
Rationale: If initial cost is Rs 100, then
Final cost will be 100*0.7*0.6*0.6 = Rs. 25.2
savings = 100-25.2=74.8
so 74.8%
ANSWER:E
Answer: E
Question: If A speaks the truth 80% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
Options:
A)0.8
B)0.48
C)0.6
D)0.14
E)0.98
Rationale: probability that A speaks truth is 80/100=0.8 probability that B speaks truth is 60/100=0.6 since both A and B are independent of each other so PROBABILITY OF A INTERSECTION B = P(A) *P(B) =0.8 * 0.6 = 0.48
ANSWER:B
Answer: B
Question: How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
Options:
A)5(10)
B)10(5)
C)10P5
D)10C5
E)NOne
Rationale: Solution:
Each of the 10 letters can be posted in any of the 5 boxes.
So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.
i.e.5 *5 *5 *. . . .*5 (up-to 10 times).
=510
Answer: Option A
Answer: A
Question: A batsman scored 90 runs which included 2 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets.
Options:
A)40%
B)50%
C)57%
D)60%
E)80%
Rationale: Explanation:
Number of runs made by running = 90 - (2 x 4 + 5 x 6)
= 90 - (38
= 52
Now, we need to calculate 38 is what percent of 90.
=> 52/90 * 100 = 57 %
Option C
Answer: C