divelab/Sys2Bench huggingface dataset:
Question: When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
Options:
A)7 years
B)10 years
C)14 years
D)19 years
E)20 years
Rationale: Explanation:
When Rahul was born, his brother's age = 6 years; his father's age = (6 + 32) years = 38 years, his mother's age = (38 - 3) years = 35 years; his sister's age = (35 - 25) years = 10 years.
Answer: Option B
Answer: B
Question: If n = 2ab, where a and b are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
Options:
A) Two
B) Three
C) Four
D) Six
E) Eight
Rationale: Answer - 'C' - Four.
For a number 2ab with primes ab,there will be four even divisors - 2,2*a,2*b,2*a*b
Answer: C
Question: If -3x < 9, which of the following must be true?
Options:
A)x < -3
B)x < -2
C)x > -3
D)x > -2
E)x > 0
Rationale: -3x < 9
=> -x < 3
=> x > - 3
Answer C
Answer: C
Question: A scooter costs 50,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
Options:
A)10,000
B)12,500
C)12,800
D)12,000
E)25,600
Rationale: After first year, the value of the scooter = 40,000
After second year, the value of scooter = 32,000
After third year, the value of scooter = 25,600
Answer E
Answer: E
Question: In a recent election, Ms. Robbins received 4,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
Options:
A)0.06N + 4,000
B)0.1N + 7,200
C)0.4N + 7,200
D)0.1N + 8,000
E)0.06N + 8,000
Rationale: total vote = N
vote cast by independent voters = 0.4 N
vote cast by registered voters = 0.6 N
vote received by Ms. Robbins = 4000 + 10% of vote be registered voters = 4000 + 0.06 N
Answer choice A
Answer: A
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
Options:
A)3
B)4
C)6
D)5
E)7
Rationale: Average speed = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr.
Distance traveled = 12/5 * 5 = 12 km.
Distance between house and school = 12/2 = 6 km.
Answer:C
Answer: C
Question: A bowl was filled with 10 ounces of water, and 0.004 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Options:
A)0.004%
B)0.04%
C)0.40%
D)2%
E)40%
Rationale: Total amount of water evaporated each day during a 50-day period = .004 * 50
=.004 * 100/2
= .4/2
= .2
percent of the original amount of water evaporated during this period = (.2/10) * 100%
= 2 %
Answer D
Answer: D
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Options:
A)228
B)277
C)297
D)450
E)121
Rationale: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 – 1050 = 450.Answer: D
Answer: D
Question: The greatest number that divides 210, 1200 and 1450 and leaving remainder 6, 10 and 5 respectively is:
Options:
A)17
B)18
C)19
D)21
E)23
Rationale: explanation:
210-6= 204, 1200-10= 1190 and 1450-5= 1445
the highest number that can divide 204, 1190 and 1445 is HCF of numbers.
HCF of 204, 1190,1445 =17
Answer:A
Answer: A
Question: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits A can does Grace have available during her trip?
Options:
A) 2,520
B) 1,260
C) 620
D) 360
E) 120
Rationale: The idea is to multiply the number of possibilities for each item of clothing with the different items. For the shirts you essentially choose 2 out of 8 so you should use the combination forumla (don't know how to use math symbols here).
This gives you A=5 x 3 x 28 x 3 = 1'260. Hence, solution B is correct.
Answer: B
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Options:
A)1500
B)2677
C)1997
D)2677
E)1971
Rationale: P = 15(100/10)2 => P = 1500
Answer: A
Answer: A
Question: The positive value of x that satisfies the equation (3 + 2x)^5 = (1 + 3x)^4 is between
Bunuel, can you please explain this one?
Options:
A)0 and 0.5
B)0.5 and 1
C)1 and 1.5
D)1.5 and 2
E)2 and 2.5
Rationale: Trial and error would probably be the easiest way to solve this problem. When x is large enough positive number, then because of the exponents (5>4), LHS will be more than RHS (as you increase the positive value of x the distance between the values of LHS and RHS will increase).
Try x=1 --> LHS=3^5=81*3=243 and RHS=4^4=64*4=256, so (1 + 2x)^5 < (1 + 3x)^4. As you can see LHS is still slightly less than than RHS. So, the value of x for which (1 + 2x)^5 = (1 + 3x)^4 is slightly more than 1.
Answer: D.
Answer: D
Question: If a certain sample of data has a mean of 15.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Options:
A)(8.0; 16.5)
B)(8.5; 21.0)
C)(14.0; 26.5)
D)(16.5; 26.0)
E)(21.0; 26.5)
Rationale: 2.5 standard deviation equals to 2.5*2=5;
2.5 standard deviations from the mean, so5 points, from the mean is the range from {mean-5} to {mean+5}, so from 10 to 20.
The correct answer choice must cover all this range: only answer choice B does this.
Answer: B.
Answer: B
Question: A circular well with a diameter of 4 metres , is dug to a depth of 14 metres. What is the volume of the earth dug out?
Options:
A)32 m3
B)36 m3
C)40 m3
D)44 m3
E)176 m3
Rationale: Solution
Volume	= πr2h
‹=› (22 /7 ×2×2×14)m3
‹=›176 m3.
Answer E
Answer: E
Question: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 18 inches, how many inches of framing material does the carpenter need to frame the painting?
Options:
A)12
B)22 1/2
C)37 1/2
D)50
E)90
Rationale: (18/2) ( 2+3) * 2 = 90=E
Answer: E
Question: Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time, the third pipe alone can empty the cistern?
Options:
A)90 min
B)100 min
C)110 min
D)120 min
E)130 min
Rationale: 1/50-(1/60+1/75)=-1/100
third pipe can empty in 100 minutes
ANSWER:B
Answer: B
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Options:
A)7 1/2 sec
B)7 1/7 sec
C)7 8/2 sec
D)7 1/9 sec
E)7 2/2 sec
Rationale: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer:D
Answer: D
Question: A, B and C rents a pasture for Rs.435. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Options:
A)135
B)227
C)268
D)198
E)176
Rationale: 12*8 :16*9 = 18*6
8: 12: 9
9/29 * 435 = 135
Answer:A
Answer: A
Question: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 120 six-ounce servings of orange juice?
Options:
A)12
B)15
C)18
D)21
E)24
Rationale: 1 X 12 ounce can of concentrate + 3 X 12 ounce cans of water = 48 ounces of the mixture.
48 ounces of mixture gives (48 / 6 ) = 8 servings.
Thus 1 x 12 ounce can of concentrate is used to produce 8 servings of the mixture.
To make 120 servings of the mixture, we need 120 / 8 = 15 cans of the concentrate.
The answer is B.
Answer: B
Question: If M is the mean of x,y,z ; then what is the mean of x+5,y+5 and z+5
Options:
A)M
B)3M
C)10M
D)M+10
E)M+5
Rationale: If each number is shifted up by 5, the mean also shifts up by 5 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 + 5.
Answer (E)
Answer: E
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
Options:
A)17/27
B)17/25
C)17/29
D)17/98
E)17/20
Rationale: Explanation:
The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 50.
Number of favourable cases are 34.
Required probability = 34/50 = 17/25.
Answer: Option B
Answer: B
Question: If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other?
Options:
A)1/33
B)2/33
C)1/3
D)16/33
E)11/12
Rationale: Each couple can send only one "representative" to the committee. We can choose 4 couples (as there should be 4 members) to send only one "representatives" to the committee in C46C64 # of ways.
But these 4 chosen couples can send two persons (either husband or wife): 2∗2∗2∗2=242∗2∗2∗2=24.
So # of ways to choose 4 people out 6 married couples so that none of them would be married to each other is: C46∗24C64∗24.
Total # of ways to choose 4 people out of 12 is C412C124.
P=C46∗24C412=1633P=C64∗24C124=1633
Answer: D.
Answer: D
Question: If 12 men or 20 women can do a piece of work in 108 days, then in how many days can 9 men and 12 women together do the work?
Options:
A)10 days
B)30 days
C)20 days
D)80 days
E)40 days
Rationale: D
80 days
Given that 12m = 20w => 3m = 5w
9 men + 12 women = 15 women + 12 women = 27 women
20 women can do the work in 108 days. So, 27 women can do it in (20 * 108) /27 = 80 days.
Answer: D
Question: In a deck of cards there are 48 cards numbered from 1 to 13. There are 8 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Options:
A)1/4.
B)4/17.
C)5/29.
D)4/13.
E)1/3.
Rationale: 8+12 tens/48+12 total cards=20/60=1/3
E
Answer: E
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 14?
Options:
A)7
B)21
C)34
D)8
E)55
Rationale: So the number given is N = 143Q + 45
If this number is divided by 13, the remainder would be R[(143Q + 45)/13]
Since 143 is divisible by 13 , the product 143Q gives no remainder
This means the remainder of 45/13 should be the remainder of the entire number N
which is 6
To make it divisible by 13 , the smallest number that can be added = 14 - 6 = 8
Correct Option : D
Answer: D
Question: The average of 10 numbers is calculated as 5. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: 10 * 5 + 36 – 26 = 60/10 = 6
ANSWER:E
Answer: E
Question: On a ferry, there are 27 cars and 13 trucks. The cars have an average mass of 1100 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 40 vehicles on the ferry?
Options:
A)1515.5
B)1616.5
C)1717.5
D)1818.5
E)1919.5
Rationale: The total mass of the vehicles is 27*1100+13*3000=68700
The average mass is 68700/40=1717.5
The answer is C.
Answer: C
Question: A pump can fill a tank with a water in 2 hours. Because of a leak, it took 3 hours to fill the tank. The leak can drain all the water of the full tank in how many hours?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: The rate of the pump + leak = 1/3
1/2 - leak's rate = 1/3
leak's rate = 1/2 - 1/3 = 1/6
The leak will empty the tank in 6 hours.
The answer is E.
Answer: E
Question: Average of 10 two digit positive integer is Z. However, one number AB is taken as BA, then the average increases to Z+2.7. How many set of values for A and B are possible?
Options:
A)5
B)6
C)7
D)8
E)9
Rationale: Explanation :
Total such possible sets = (4,1), (5,2), (6,3), (7,4), (8,5) and (9,6).
(3,0) is not admissible as the numbers are of two digits.
Answer : B
Answer: B
Question: In a restaurant, the profit is 150% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options:
A)30%
B)55%
C)90%
D)100%
E)None of these
Rationale: Explanation :
Let C.P.= Rs. 100. Then, Profit = Rs. 150, S.P. = Rs. 250.
New C.P. = 112% of Rs. 100 = Rs. 112
New S.P. = Rs. 250.
Profit = Rs. (250 - 112) = Rs. 138.
Required percentage = (138 /250 *100) % = 55 % appox
Answer : B
Answer: B
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Options:
A)Rs.1200
B)Rs.890
C)Rs.600
D)Rs.1190
E)Rs.450
Rationale: Explanation:
S.P. = 85% of Rs. 1400 = Rs.(85/100*1400)=Rs.1190
Answer:D
Answer: D
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased?
Options:
A)5/7
B)2/7
C)1/7
D)3/7
E)6/7
Rationale: Let x be the the cost of the rental car
When 8 persons share equally, share of one person = x/8
When 1 person withdraws and other 7 persons share equally, share of one person = x/7
Increase in the share = x/7−x/8=x/56
Required fraction = (x/56)/(x/8)=1/7
Answer is C.
Answer: C
Question: A car gets 27 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 14 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Options:
A)120
B)126
C)132
D)138
E)144
Rationale: Originally, the distance the car could go on a full tank was 14*27=378 miles.
After it has been modified, the car can go 27/0.75=36 miles per gallon.
On a full tank, the car can go 14*36= 504 miles, thus 126 miles more.
The answer is B.
Answer: B
Question: Find the roots of quadratic equation: 2x^2 + 5x + 2 = 0?
Options:
A)-2, -1/2
B)4, -1
C)4, 1
D)-2, 5/2
E)1, 5
Rationale: Explanation:
2x^2 + 4x + x + 2 = 0
2x(x + 2) + 1(x + 2) = 0
(x + 2)(2x + 1) = 0 => x = -2, -1/2
ANSWER:A
Answer: A
Question: Running 3/4th of his usual rate, a man is 8min late. Find his usual time in hours ?
Options:
A)6/4 hrs
B)3/4 hrs
C)2/5 hrs
D)3/4 hrs
E)1/4 hrs
Rationale: Explanation:
Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time
so 1/3rd of the usual time = 8min
or usual time = 3 x 8 = 24min = 24/60 hrs = 2/5 hrs.
Answer: C
Answer: C
Question: A certain truck uses 18 gallons of diesel fuel in traveling 230 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
Options:
A)8
B)9
C)12
D)15
E)27
Rationale: There are two sets 18G1 gallons and 10G2 gallons details given.
18 gallons covering 230 miles
Then 1 G1 is used to cover 15 miles.
Now for 10 G2 covering 230 miles.
then 1 G2 is used to cover 23 miles.
There must 23 - 15 = 8 miles per gallon increment is needed for 10 gallons to improve the mileage to cover 230 miles.
IMO A is correct answer.
Answer: A
Question: An error 2% in excess ismade while measuring the side ofa square. The % of error in the calculated area of the square is?
Options:
A)4.00%
B)4.04%
C)4.16%
D)4.30%
E)5%
Rationale: 100 cm is read as 102 cm.
A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.
(A2 - A1) = [(102)2 - (100)2]
= (102 + 100) x (102 - 100)
= 404 cm2.
Percentage error = 404 x 100 % = 4.04%
100 x 100
B
Answer: B
Question: Find the value for x from below equation: x/3=-6?
Options:
A)-16
B)11
C)-12
D)-18
E)14
Rationale: 1. Multiply both sides by 3:
x*3/3= -6/3
Simplify both sides:
x = -18
D
Answer: D
Question: A train 260 m long passed a pole in 13 sec. How long will it take to pass a platform 740 m long?
Options:
A)50 sec
B)55 sec
C)60 sec
D)65 sec
E)70 sec
Rationale: Speed = 260/13 = 20 m/sec.
Required time = (260 + 740)/20 = 50 sec
Answer:A
Answer: A
Question: A man's speed with the current is 22 km / hr and the speed of the current is 4 km / hr. The man's speed against the current is
Options:
A)8.5 km / hr
B)9 km / hr
C)10 km / hr
D)14 km / hr
E)None
Rationale: Sol.
Man's rate in still in water = (22 - 4) km / hr = 18 km / hr.
Man's rate against the current = (18 - 4) km / hr = 14 km / hr.
Answer D
Answer: D
Question: In a class of students, 2/3 of the number of girls is equal to 1/5 of the total number of students. What is the ratio of boys to girls in the class?
Options:
A)1/3
B)2/3
C)4/3
D)5/3
E)7/3
Rationale: (2/3)G=(1/5)(B+G)
10G=3B+3G
7G=3B
B/G=7/3.
The answer is E.
Answer: E
Question: 10 men do a work in 10days. How many men are needed to finish the work in 5days?
Options:
A)50
B)20
C)30
D)10
E)15
Rationale: men required to finish the work in 5days = 10*10/5 = 20
Answer is B
Answer: B
Question: What will be the HCF of ( 2 x 3 x 7 x 9 ), ( 2 x 3 x 9 x 11 ) and ( 2 x 3 x 4 x 5 )?
Options:
A)2 x 3 x 7
B)2 x 3 x 9
C)2 x 3
D)2 x 7 x 9 x 11
E)None
Rationale: Answer
Given factors
2 x 3 x 7 x 9; 2 x 3 x 9 x 11; 2 x 3 x 4 x 5
∴ Required HCF = Product of common prime factors having least powers = 2 x 3
Correct Option: C
Answer: C
Question: 70% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
Options:
A)15%
B)5%
C)10%
D)20%
E)25%
Rationale: Given a population where A% has a certain characteristic X and B% has another characteristic Y (assuming both aren't exclusive), then you get the minimum overlap by assuming that the entire population that doesn't have X has characteristic Y, therefore the minimum portion of the population that has both characteristics is:
B-(100-A) %
So given A=70 for employees with VCD players and B=75 for employees with microwave ovens, at least:
75-(100-70)=45% have both. Then take the output and repeat with the other appliances.
A=45 for employees with both VCD players and microwaves, B=80 for ACs
80-(100-45)=25%
A=25 for employees with VCD players, microwaves and ACs, B=85 for washing machines
85-(100-25)=10%
Answer C
Answer: C
Question: Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 663 and for 36kgs of Apples is 726 then the cost of first 10 kgs of Apples is
Options:
A)100
B)150
C)200
D)350
E)450
Rationale: Ans: By framing equations we get
30L+3Q=663
30L+6Q=726
Eliminate Q by multiplying the first equation by 2 and subtracting second equation from the first
Then we get L = 20
Cost of 10 kgs of apples = 10 x 20 = 200
Answer:C
Answer: C
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Options:
A)77.14 cm
B)47.14 cm
C)84.92 cm
D)94.94 cm
E)23.57 cm
Rationale: Let the side of the square be a cm.
Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm
i.e. 4a = 60
A = 15
Diameter of the semicircle = 15 cm
Circimference of the semicircle
= 1/2(∏)(15)
= 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places
ANSWER:E
Answer: E
Question: From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 7, what is the probability that the 2 numbers included the number 5?
Options:
A)1/5
B)2/5
C)3/10
D)3/5
E)1/3
Rationale: We know that the sum of two numbers picked was 7. So, there could be the following cases:
(1, 6);
(6, 1);
(2, 5);
(5, 2);
(3, 4);
(4, 3);
Total of 6 cases out of which 2 have 5, thus the probability is 2/6=1/3.
Ans E
Answer: E
Question: A Train requires 10 seconds to pass a pole while it requires 35 seconds to cross a stationary train which is 500 mtrs long. Find the speed of the train.
Options:
A)68 kmph
B)70 kmph
C)72 kmph
D)60 kmph
E)50 kmph
Rationale: In 10s the train crosses the pole and in 35 sec the train crosses one more stationary train
In 25 sec the train travels a distance of 500 mtrs
Speed = 500/25 = 20 m/s = 20 (3600/1000) = 20 * 18/5 = 72 kmph
Answer: C
Answer: C
Question: The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 30%. What is the mark up on the cost price?
Options:
A)40%
B)8%
C)25%
D)17%
E)9%
Rationale: The most natural way to deal with 'weights' questions is by assuming values.
Say the trader's balance shows 100 gms. It is actually 90 gms because it weighs 10% less. Say, the cost price is $90 ($1/gm). Since he gets a profit of 30%, the selling price must be 90+(30/100)*90 = $117
Since the cost price is actually supposed to be $100 (for 100 gms) and the selling price is $117, the mark up is simply 17%.
Ans : D
Answer: D
Question: Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.37 per ounce, what is the share of Arabica in this blend?
Options:
A)20%
B)24%
C)70%
D)33%
E)40%
Rationale: a= amount of arabica coffee
1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta
therefore:
.4a + .3(1-a) = .37
.4a + .3 - .3a = .37
a= .7
therefore: .7/1 ounce = 70%. Therefore, the answer should be C
Answer: C
Question: A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
Options:
A)1:2:8
B)1:2:1
C)1:2:2
D)1:2:4
E)2:2:4
Rationale: WC of A: B = 1:2
B: C = 1:2
---------------------
A: B: C = 1:2:4
Answer:D
Answer: D
Question: I given the responsibility to organize the American open.
* The number of players come for this match are 64.
* Its a knock-out tournament , each player is eliminated as soon as he looses a match.
For planning these matches i need to count the number of matches that need to played in this tournament.
How many matches will be played ?
Options:
A)19
B)71
C)48
D)50
E)63
Rationale: E
Total Number of Matches: 63
Explanation:
32+16+8+4+2+1 = 63
Answer: E
Question: Vijay bought 160 shirts at the rate of Rs. 255 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Options:
A)Rs. 321
B)Rs. 270
C)Rs. 277.5
D)Rs. 285
E)None of these
Rationale: Total CP per shirt = 255 + 1400/160 + 1.75 + 320/160 = Rs. 267.5
SP = CP[(100 + profit%)/100]
= 267.5 * [(100 + 20)/100] = Rs. 321.
ANSWER:A
Answer: A
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 240 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Options:
A)1280
B)960
C)768
D)1920
E)640
Rationale: Four members worked in ration 2:3:5:6, hence as everyone mentioned, individual work could be taken as 2x, 3x,5x, and 6x. Also this gives us total work as 16x.
But we are told that one of these individual works is 30hrs. hence, possible scenarios, if
(1)2x =240 => 16x = 1920 (2) 3x =240 => 16x = 1280 (3) 5x =240 => 16x = 768 (4) 6x =240 => 16x = 640
Hence Answer is B 960 which can not be any of these.
Answer: B
Question: The difference between the local value and face value of 7 in the numeral 657903 is:
Options:
A)0
B)7896
C)6993
D)903
E)803
Rationale: (Local value)-(Face value)= (7000-7)
=6993.
ANSWER:C
Answer: C