divelab/Sys2Bench huggingface dataset:
Question: A triangle marked A,B and C on its three sides . Three colors, grey, violet, and purple are used to paint the three sides of the triangle. If the adjacent faces are painted with the different colors, in how many ways can the triangle sides be painted?
Options:
A)3
B)8
C)6
D)12
E)36
Rationale: If the base of the triangle is grey, then in order the adjacent faces to be painted with the different colors . Then 2 sides can be painted in Violet-Purple-Violet-Purple OR Purple-Violet- Purple-Violet (2 options).
But we can have the base painted in either of the three colors, thus the total number of ways to paint the triangle is 3*1=3.
Answer: A.
Answer: A
Question: What is the greatest integer m for which the number 30!/10^m is an integer?
Options:
A)7
B)8
C)9
D)10
E)11
Rationale: 10^m = 2^m*5^m.
Let's figure out how many 5's are in the prime factorization of 30!
The multiples of 5 are: 5, 10, 15, 20, 5*5, 30.
Thus 5^7 will divide 30! but 5^8 will not.
Clearly 2^7 will divide 30!
So m=7 is the largest possible integer.
The answer is A.
Answer: A
Question: To get to a business meeting, John drove m miles in h hours, and arrived 1/2 hour early. At what rate should he have driven to arrive exactly on time?
Options:
A)m/2h
B)2m/(2h+1)
C)2m/(2h-1)
D)2m-h/2h
E)none of these
Rationale: m miles in h - 1/2 = (2h - 1)/2 hours
=> 2m/(2h - 1) miles per hours
ANSWER:C
Answer: C
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 22 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options:
A)37
B)240
C)210
D)267
E)211
Rationale: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 22)m = 330 m. Let the length of the platform be x meters. Then, (x + 330)/36 = 15 ==> x + 330 = 540 ==> x = 210 m.Answer: C
Answer: C
Question: An outlet pipe empties a tank which is full in 10 hours. If the inlet pipe is kept open, which lets water in at the rate of 4 litres/min then outlet pipe would take 6 hours longer. Find the capacity of the tank.
Options:
A)8600 litres
B)6400 litres
C)12800 litres
D)11200 litres
E)13200 litres
Rationale: Let the rate of outlet pipe be x liters/hour;
Rate of inlet pipe is 4 litres/min, or 4*60 = 240 liters/hour;
Net outflow rate when both pipes operate would be x-240 liters/hour.
Capacity of the tank = x*10 hours = (x-240)*(10+6) hours
10x=(x-240)*16 --> x=640 --> capacity = 10x = 6400 liters.
Answer: B.
Answer: B
Question: What decimal of an hour is a second?
Options:
A).0025
B).0256
C).00027
D).000126
E)None
Rationale: Solution
Required decimal	= 1/ 60 x 60
= 1/ 3600
= .00027.
Answer C
Answer: C
Question: A bus started its journey from Chennai and reached Mumbai in 50 min with its average speed of 60 km/hr. If the average speed of the bus is increased by 6 km/hr, how much time will it take to cover the same distance?
Options:
A)45 min.
B)55 min.
C)65 min.
D)60 min.
E)50 min.
Rationale: Sol. Distance between Mumbai and Pune=(60*50)/60=50
Average speed of the bus is increased by 6 km/hr then the
speed of the bus = 66 km/hr
Required time = 50*66/60 = 55min.
B
Answer: B
Question: What will be the income tax payable by a person getting a taxable income of Rs. 30,000 during the year if the first Rs. 18000 is not taxable and the tax rates arc 25% of the next Rs. 25000 ?
Options:
A)Rs. 3000
B)Rs. 3250
C)Rs. 3500
D)Rs. 3750
E)None of these
Rationale: T.I.=30,000, N.T.I.=18000
Taxable 12000, Income Tax = 25% of Taxable Income
= 1/4 ×: 12000 = RS.3000
Answer: A.
Answer: A
Question: The equation w = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at w = -5, the equation for l is
Options:
A)+ y + 15 = 0
B)- 3x - 11 = 0
C)+ y - 16.5 = 0
D)- y - 7 = 0
E)+ y + 13.5 = 0
Rationale: Is optionC: -3w + y -6.5= 0=C
Answer: C
Question: Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length J of time will elapse before they chime together again?
Options:
A)2 hr. and 24 min.
B)4 hr. and 48 min.
C)1 hr. and 36 min.
D)5 hr.
E)2 hr.
Rationale: It should be simple. All the three bells will chime again together whenver their time intervals intersect eachother.
So the LCM of the three time intervals (18, 24,32) would be the answer.
LCM (18, 24, 32) J= 288 => 4 hours 48 mins.B
Answer: B
Question: Two pipes P and Q can fill a cistern in 10 and 15 minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
Options:
A)3.5
B)4
C)4.5
D)5
E)5.5
Rationale: Let x be the total time it takes for the cistern to fill.
4/10 + x/15 = 1
x/15 = 3/5
x = 9
After the first pipe is turned off, it takes 5 more minutes to fill the cistern.
The answer is D.
Answer: D
Question: If n is an integer greater than 7, which of the following must be divisible by 3 ?
Options:
A)n(n + 1)(n – 4)
B)n(n + 5)(n – 6)
C)n(n + 2)(n – 1)
D)n(n + 3)(n – 5)
E)n(n + 5)(n – 6)
Rationale: If n= 8 then n+1 is divisible by 3
A
Answer: A
Question: Two trains of equal length, running with the speeds of 60 and 100 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Options:
A)10
B)6.25
C)7.35
D)2.62
E)2.28
Rationale: RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 100 = 160 * 5/18
T = 2500/9 * 18/800= 6.25 sec.Answer: B
Answer: B
Question: The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Options:
A)266
B)288
C)245
D)255
E)232
Rationale: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (120 + X)/30 = 25/2 ==> 2(120 + X) = 750 ==> X
= 255 m.
Answer:D
Answer: D
Question: Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $61.2 after it went on sale for 15% off, what is the difference between the original price and the final price?
Options:
A)$0.00
B)$4.50
C)$3.40
D)$5.00
E)$6.80
Rationale: 0.85*{Original Price} = $61.2 --> {Original Price} = $72.
{Final Price} = $61.2*1.25 = $76.5.
The difference = $76.5 - $72 = $4.5
Answer: B.
Answer: B
Question: A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 33 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
Options:
A)A.72
B)B.50
C)C.48
D)D.69
E)E.44
Rationale: At 6:00 it'll chime 6 times. If we assume that the time taken to chime is x, then time between chimes is also x. So you have 6 chimes, which is 6x and 5 time intervals between chimes. This means that 11x = 33 seconds. Thus x = 3 seconds.
By a similar logic, at 12:00, there are 12 chimes and 11 intervals so the total time is (12+11)x = 23x = 69 seconds.
Answer D
Answer: D
Question: A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time.
Options:
A)322 men
B)232 men
C)838 men
D)539 men
E)150 men
Rationale: One day’s work = 2 / (7 * 90)
One hour’s work = 2 / (7 * 90 * 8)
One man’s work = 2 / (7 * 90 * 8 * 75)
The remaining work (5/7) has to be completed within 60 days, because the total
number of days allotted for the project is 150 days.
So we get the equation
(2 * 10 * x * 60) / (7 * 90 * 8 * 75) = 5/7 where x is the number of men
working after the 90th day.
We get x = 225
Since we have 75 men already, it is enough to add only 150 men.
Answer:E
Answer: E
Question: A special municipal payroll tax charges not tax on a payroll less than $200,000 and only 0.2% on a company’s payroll above $200,000. If Belfried Industries paid $200 in this special municipal payroll tax, then they must have had a payroll of?
Options:
A)$180,000
B)$202,000
C)$220,000
D)$300,000
E)$2,200,000
Rationale: ANSWER : D , ( with different approach) :
The 200 paid is 0.2% of the additional amount above 200,000. Let it be X
Now 0.2% of X = 200
Therefore X= 100,000
Total = 200,000 + X= 300,000
Answer: D
Question: If 1,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
Options:
A)1,000
B)100
C)1,000,000
D)10
E)10,000
Rationale: Given that 1,000 microns = 1 decimeter =1,000,000,000 angstroms
So, 1 micron = 1,000,000,000/1,000
=1,000,000
Answer : C
Answer: C
Question: If an article with marked price of $400 is sold at successive discount of 15%,25% and 15%,what is the price the customer has to pay?
Options:
A)360
B)108
C)230
D)216
E)224
Rationale: discount=0.85*.75*.85=.54
so .54*400=216
ANSWER:D
Answer: D
Question: Angela, Bernie, and Colleen can complete a job, all working together, in 5 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 6 hours. How long would it take Colleen, working alone, to complete the entire job?
Options:
A)8 hours
B)10 hours
C)12 hours
D)30 hours
E)20 hours
Rationale: A+B+C complete the job in 5 hours.
A+B complete the job in 6 hours.
A+B and C complete the job in 5 hours -->1/(A+B) + 1/C = 1/5-->1/6+1/C=1/5 ----> C=30 hours. ANS D
Answer: D
Question: The parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
Options:
A)44.0
B)23.59
C)23.55
D)23.53
E)23.57
Rationale: Let the side of the square be a cm.
Parameter of the rectangle = 2(18 + 10) = 56 cm Parameter of the square = 56 cm
i.e. 4a = 56
A = 14
Diameter of the semicircle = 14cm
Circimference of the semicircle
= 1/2(âˆ)(14)
= 22/7*14 = 44 cm
Answer: A
Answer: A
Question: Find the unit's digit in the product (2467)163 x (341)72.
Options:
A)7
B)5
C)3
D)4
E)1
Rationale: Clearly, unit's digit in the given product = unit's digit in 7153 x 172.
Now, 74 gives unit digit 1.
7^152 gives unit digit 1,
7^153 gives unit digit (l x 7) = 7. Also, 1^72 gives unit digit 1.
Hence, unit's digit in the product = (7 x 1) = 7
Answer is A.
Answer: A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 60 hrs and a machine of type S does the same job in 90 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Options:
A)12
B)15
C)16
D)18
E)20
Rationale: Type R completes 1/60 of the job each hour.
Type S completes 1/90 of the job each hour.
Together R and S complete 1/60 +1/90 = 1/36 of the job each hour.
Let n be the number of each type of machine.
2*n*(1/36) = 1 job completed
n = 18
The answer is D.
Answer: D
Question: Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
Options:
A)125
B)127
C)129
D)131
E)150
Rationale: Explanation:
In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (1661 - 10) and (2045 -13)
= HCF (1651, 2032) = 127
Option B
Answer: B
Question: If a certain manager had received a 10% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?
Options:
A)55,000
B)58,806
C)59,290
D)59,400
E)61,620
Rationale: salary(let X) included 10% increase can be written as
(1+10/100)X=60500
X=60500/110------>55000
if there is 8% rise in 55000
then the salary now is 8% of 55000
8*55000/100=4400
then total salary after increment=55000+4400----->59400
Ans D
Answer: D
Question: A cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ?
Options:
A)2.57 hrs
B)5 hrs
C)6.57 hrs
D)7.2 hrs
E)9.27 hrs
Rationale: Net part filled in 1 hour= 1/2 -1/9= 7/18
Therefore the cistern will be filled in 18/7 hours or 2.57 hours.
ANSWER:A
Answer: A
Question: Sakshi can do a piece of work in 20 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
Options:
A)15
B)16
C)18
D)25
E)None of these
Rationale: Solution
Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .
Suppose Tanya taken x days to do the work.
5 : 4 : : 20 : x ⇒ x = (20 x4 /5)⇒ x = 16 days.
Hence,Tanya takes 16 days is complete the work.
Answer B
Answer: B
Question: Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 54 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Options:
A)30 minutes
B)17 minutes
C)15 minutes
D)6 minutes
E)12 minutes
Rationale: Part of the filled by all the three pipes in one minute
= 1/18 + 1/15 - 1/54 = (15 + 18 - 5)/270 = 28/270 = 14/135
So, the tank becomes full in 6 minutes.
Answer: D
Answer: D
Question: Nicole cycles at a constant rate of 10 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Options:
A)a) x minutes
B)b) x/2 minutes
C)c) 2x/3 minutes
D)d) 3x/2 minutes
E)e) 2x minutes
Rationale: Speed of nicole = 20km/h or 20/60 km/min = 1/3 km/min.
Once jessica passed the nicole, the distance between the nicole and jessica will increase at the rate of (30-20) = 10km/h or 1/6 km/min
now jessica is cycling for x minutes after passing the nicole, so in those x minutes distance between jessica and nicole would be (1/6)*x = x/6 km.
So, the time taken by nicole to travel x/6 km = (x/6)/(1/3) = 2x/3. hence answer should be C.
Answer: C
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 20% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Options:
A)18%
B)20%
C)21%
D)23%
E)Cannot be determined
Rationale: Answer: A.
Answer: A
Question: John has 10 pairs of matched socks. If he loses 13 individual socks, what is the greatest number of pairs of matched socks he can have left?
Options:
A) 7
B) 3
C) 5
D) 4
E) 1
Rationale: Because we have to maximize the pair of matched socks, we will remove 6 pairs(12 socks) out of 10 pairs 1 sock from the 7th pair.
Thus the no of matching socks pair remaining = 10 - 7 = 3
Answer B
Answer: B
Question: The income derived from a Rs. 100, 13% stock at Rs. 105, is :
Options:
A)Rs. 5
B)Rs. 8
C)Rs. 13
D)Rs. 18
E)Rs. 19
Rationale: Solution
Income on Rs. 100 stock = Rs. 13.
Answer C
Answer: C
Question: It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 5 cms, How much did it rain on Wednesday?
Options:
A)10.9
B)17.5
C)10.2
D)10.1
E)10.6
Rationale: Explanation:
Let the rainfall on wednesday = 6x.
âˆ´ Rainfall on the remaining days = 6x
Given,
(6x + 6x )/7 = 5
â‡’12x = 35
â‡’6x = 17.5
Answer: B
Answer: B
Question: If 15 people contributed a total of $30.00 toward a gift and each of them contributed at least $1.00, then the maximum possible amount any one person could have contributed is
Options:
A) $1.00
B) $16
C) $5.00
D) $6.00
E) $20.00
Rationale: B for me
14 people with 1$ each -> maximum = 16
Answer: B
Question: After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets ?
Options:
A)328
B)348
C)358
D)362
E)Data inadequate
Rationale: Explanation:
Let the total number of sweets be (25x + 8).
Then, (25x + 8) - 22 is divisible by 28
(25x - 14) is divisible by 28 28x - (3x + 14) is divisible by 28
(3x + 14) is divisible by 28 x = 14.
Therefore Total number of sweets = (25 x 14 + 8) = 358.
Answer:C
Answer: C
Question: What will be the product of (50-1)*(50-2)*(50-3)*..............*(50-99)*(50-100)?
Options:
A)less than -100,000
B)-2500
C)0
D)2500
E)more than 100,000
Rationale: One of the terms is (50-50) so the product is 0.
The answer is C.
Answer: C
Question: Sonika deposited Rs.8000 which amounted to Rs.11200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
Options:
A)9680
B)2277
C)11680
D)12068
E)1212
Rationale: (8000*3*2)/100 = 480
11200
--------
11680
Answer:C
Answer: C
Question: In an examination, the percentage of students qualified to the students appeared from school 'P' is 70%. In school 'Q', the number of students appeared is 30% more than the students appeared from school 'P' and the number of students qualified from school 'Q' is 50% more than the students qualified from school 'P'. What is the % of students qualified to the number of students appeared from school 'Q' ?
Options:
A)80.76%
B)75.5%
C)60.50%
D)43 %
E)None of these
Rationale: Explanation:
Number of students appeared from school 'P' = 100, say
Number of students qualified from school 'P' = 70
and Number of students appeared from school 'Q' = 130
Number of students qualified from school 'Q' = 50% more than those qualified from school 'P'.
= 70 + 35 = 105 % of students qualified to the number of students appeared from school B = 105 / 130 * 100
= 80.76%
ANSWER A
Answer: A
Question: Rs. 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10% ?
Options:
A)Rs.30029
B)Rs.30120
C)Rs.30000
D)Rs.31209
E)Rs.30121
Rationale: Let first part is 'K' and second part is 'L'
then K + L = 50000---------eq1
Total profit = profit on x + profit on y
7000 = (K x 10 x 1)/100 + (L x 20 x 1)/100
70000 = K + 2L-----------------------------------eq2
70000 = 50000 + L
so L = 20000 then K = 50000 - 20000 = 30000
first part on 10% is = Rs.30000
Answer: C
Answer: C
Question: A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 7 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Options:
A)480
B)487
C)481
D)840
E)268
Rationale: 1/x - 1/20 = -1/24
x = 120
120 * 7 = 840
Answer:D
Answer: D
Question: Ram and Shakil run a race of 2000 meters. First, Ram gives Shakil a start of 200 meters and beats him by one minute. If , Ram gives Shakil a start of 6 minutes Ram is beaten by 1000 meters. Find the time in minutes in which Ram and Shakil can run the races separately.
Options:
A)7,10
B)8,10
C)9,10
D)10,10
E)10,12
Rationale: Let x and y are the speeds of Ram and Shakil.. Then by problem we got following equation
2000/x=(1800/y)-1
1000/X=(2000/y)-6
solve equation 1 and 2, we get x=250 and y=200
Therefore, Time taken by Ram and Shakilk to complete a race of 2000m is 8 min and 10 Min
ANSWER:B
Answer: B
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 9 percent. Overall he make a.
Options:
A)228
B)288
C)27
D)120
E)881
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 9/100) = 8000 + 720
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 720 = Rs. 120
As this is positive, an overall profit of Rs. 200 was made.Answer:D
Answer: D
Question: A wolf eats 5.5 Kg of meat in 3 days. A baby tiger eats 3 Kg of meat in 3 days. How much meat can the two combined eat in three days?
Options:
A)10.5
B)9.5
C)8.5
D)7.5
E)6.5
Rationale: 3/3*5.5+3/3*3=8.5 kg
C
Answer: C
Question: How many different 6-letter sequences are there that consist of 2A, 60B's and 10C's ?
Options:
A)6
B)60
C)120
D)360
E)720
Rationale: How many different 6-letter sequences are there that consist of 2 A, 60B's, and 10 C's?
(A) 6
(B) 60
(C) 120
(D) 360
(E) 720 (ANS E)
Answer: E
Question: The average of first 10 even numbers is?
Options:
A)19
B)18
C)16
D)11
E)17
Rationale: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11
Answer:D
Answer: D
Question: In what time will Rs.4000 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)8 1/3
B)8 1/6
C)8 1/4
D)8 1/8
E)8 1/9
Rationale: (4000*3*R)/100
= (5000*5*4)/100
R = 8 1/3
Answer: A
Answer: A
Question: A man is 26 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is
Options:
A)78 years
B)22 years
C)88 years
D)66 years
E)24 years
Rationale: Let's Son age is x, then Father age is x+26.
=> 2(x+2) = (x+26+2)
=> 2x+4 = x+28
=> x = 24 years
Answer: E
Answer: E
Question: How many digits will be there to the right of the decimal point in the product of 95.75 and .02554 ?
Options:
A)2
B)3
C)4
D)5
E)6
Rationale: Sum of decimal places = 7.
Since the last digit to the extreme right will be zero (since 5 x 4 = 20)
so there will be 6 significant digits to the right of the decimal point.
Answer is E.
Answer: E
Question: In 6 years, A will be thrice as old as B was 4 years ago. If A is now 6 years older than B, find the present age of B.
Options:
A)16 years
B)24 years
C)8 years
D)12 years
E)18 years
Rationale: let present age of A be A
let presennt age of B be B
in 6 yrs
A+6:B+6=3(B-4):B=6
ie A+6=3(B-4)
but given A=B+6
so B+6+6=3(B-4)
B=12
ANSWER:D
Answer: D
Question: A driver just filled the car's gas tank with 45 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Options:
A)1.3
B)1.7
C)2.1
D)2.5
E)2.9
Rationale: Let x be the number of liters of ethanol added to the gas tank.
0.05(45) + x = 0.1(45+x)
0.9x = 4.5 - 2.25 = 2.25
x = 2.5 liters
The answer is D.
Answer: D
Question: In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
Options:
A)3
B)5
C)9
D)7
E)8
Rationale: D
7
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 14 more than twice the number of heads.
Therefore, 2 × (x + y) + 14 = 4x + 2y.
or, 2x + 2y + 14 = 4x + 2y.
or, 2x + 14 = 4x [subtracting 2y from both sides].
or, 14 = 4x – 2x [subtracting 2x from both sides].
or, 14 = 2x.
or, x = 7 [dividing by 2 on both sides].
Therefore, the number of cows = 7.
Answer: D
Question: If a particular player is always chosen, in how many ways cana cricket-be chosen out of 15 players?
Options:
A)1223
B)1376
C)1245
D)1456
E)1365
Rationale: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.
=. Required number of ways = 14C10 = 14C4
= 14!/4!x19! = 1365
E
Answer: E
Question: A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
Options:
A)300
B)245
C)600
D)743
E)215
Rationale: C
600
WC = 1/6:1/8:1/12 => 4:3:2
3/9 * 1800 = 600
Answer: C
Question: Which of the following is equal to 1(4/5)%?
Options:
A)0.012/100
B)0.12/100
C)1.2/100
D)1.8/100
E)12/10
Rationale: This notation may be confusing for some, since it looks like we're multiplying 1 and 4/5
How about adding a space:Which of the following is equal to (1 4/5)%
(1 4/5)% = 1.8% = 1.8/100
Answer:
D
Answer: D