divelab/Sys2Bench huggingface dataset:
Question: Ravi alone can do a work in 25 dyas while Syam alone can do it in 20 days. Ram started the work and joined by Syam after 10 days. How long did the work last?
Options:
A)9 2/3 days.
B)10 2/3 days.
C)11 2/3 days.
D)16 2/3 days.
E)13 2/3 days.
Rationale: Ram's 1 day work =1/25 Ram's 10 days work =10/25 =2/5 Remaing work =1-2/5 =3/5 Syam's 1 day work =1/20, Part of work finished by both =1/25+1/20 =9/100 Total work done by both = 100/9 days. Therefore the remaining 3/5 of work done by both =100/9*3/5 =6 2/3 days. Therefore the work lasted for ( 10+6 2/3 ) days =16 2/3 days. Answer : D
Answer: D
Question: A room is 6 meters 72 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
Options:
A)107
B)126
C)117
D)136
E)147
Rationale: Let us calculate both the length and width of the room in centimeters.
Length = 6 meters and 72 centimeters = 672 cm
width = 4 meters and 32 centimeters = 432 cm
As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.
Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 672 and 432 = 48
Thus, the number of square tiles required = (672 x 432 ) / (48 x 48) = 14 x 9 = 126
Answer: B
Answer: B
Question: The average age of a class of 25 students is 26 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
Options:
A)40
B)41
C)52
D)62
E)73
Rationale: Total age of all students =25Ã—26
Total age of all students + Age of the teacher =26Ã—27
Age of the teacher
=27Ã—26âˆ’25Ã—26=26(27âˆ’25)=26Ã—2=52
Answer is C.
Answer: C
Question: A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
Options:
A)77 cm
B)10 cm
C)55 cm
D)33 cm
E)11 cm
Rationale: 30 * 20 * x
= (8 * 5.5 * 1.5)/2
Answer: B
Answer: B
Question: The simple interest on a sum of money will be Rs. 600 after 10 years.If the principal is trebled after 5 years,what will be the total interest at the end of the tenth year ?
Options:
A)Rs. 600
B)Rs. 900
C)1200 rupees
D)Rs. 1500
E)None
Rationale: Solution
22.22
Let the sum be Rs. x. Now, S.I. = Rs. 600,T = 10 years.
Rate = % = (100x600/X x 10)% =(6000/X)%
S.I. for first 5 years = Rs.(X x 5 x 6000/X x 100) = Rs. 300.
S.I. for first 5 years = Rs. (3X x 5 x 6000/X x 100)= Rs. 900.
∴ Total interest = Rs. 1200.
Answer C
Answer: C
Question: If 75 percent of a class answered the first question on a certain test correctly, 30 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Options:
A)25%
B)(8) 20%
C)30%
D)50%
E)65%
Rationale: I didn't understand how to connect 20 percent with the whole equation.
Why 20 is out of the percentile diagram (circles) but inside of 100?
20% appeared in the exam; however did not answer Question AQuestion B correctly
So they are out of the two circles, however as they have appeared in the exam, they have to be taken into consideration for calculation purpose
I am doing it this way:
Suppose the total class size is 100, then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both.
Now,
100 - [(75 - x) + x + (30 - x)] = 20 .......... values are in percent
x = 20 - 100 + 105
x = 25
Ans: A
Answer: A
Question: 1, 4, 27, 16, ?, 36, 343
Options:
A)112
B)125
C)183
D)153
E)162
Rationale: B
125
The series consists of cubes of odd numbers and square of even numbers.
Answer: B
Question: By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 6 p.c?
Options:
A)28000
B)29000
C)37600
D)38000
E)40000
Rationale: Option B
Explanation:
CP + CP/8 = 45000
CP = 40000
SP = 40000*(94/100) = 37600
Option C
Answer: C
Question: The price of 5 kilograms of premium fertilizer is the same as the price of 12 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer?
Options:
A)y/30
B)5/6*y
C)6/5*y
D)5y
E)12y/7
Rationale: Usingpfor premium andrfor regular, I got two equations from the question stem:
5p = 12r and p = r+y
Substitute for p: 5(r+y) = 12r
Distribute: 5r + 5y = 12r
Subtract 5r from both sides: 5y = 7r
Plug back into the first equation: 5p = 12(5y/7)
Distribute: 5p = 60y/7
Divide both sides by 5: p = 12y/7
The answer is E.
Answer: E
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Options:
A)28
B)89
C)77
D)66
E)21
Rationale: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10 = 89 sec.
Answer: B
Answer: B
Question: 0.363*0.522+0.363*0.478 = ?
Options:
A)0.522
B)0.845
C)0.363
D)0.985
E)0.885
Rationale: Given Expression= 0.363*(0.522+0.478)
= 0.363*1
= 0.363
ANSWER:C
Answer: C
Question: In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 340 points, how many points is the third question worth?
Options:
A)39
B)24
C)28
D)26
E)30
Rationale: x
x+4
x+8
x+12
x+16
x+20
x+24
x+28
x+32
x+36
10x+180=340
10x=160
x=16
3rd question = x+8 = 16+8 = 24
Answer B
Answer: B
Question: For which of the following does p(a)−p(b)=p(a−b) for all values of a and b?
Options:
A)p(x)=x^2
B)p(x)=x/2
C)p(x)=x+5
D)p(x)=2x−1
E)p(x)=|x|
Rationale: To solve this easiest way is just put the value and see that if it equals or not.
with option 1. p(a) = a^2 and p(b) = b^2
so L.H.S = a^2 - b^2
and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.
so L.H.S not equal to R.H.S
with option 2. p(a) = a/2 and p(b) = b/2
L.H.S = a/2 - b/2 ==> 1/2(a-b)
R.H.S = (a-b)/2
so L.H.S = R.H.S which is the correct answer.
answer:B
Answer: B
Question: Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2/3 of its own speed and got to its destination in 20 hours?
Options:
A)5.67 hrs
B)9.67 hrs
C)8.95 hrs
D)8.67 hrs
E)6.67 hrs
Rationale: New speed = 2/3 of usual speed
New time = 2/3 of usual time
2/3 of usual time = 20 hrs
Usual time = 20*2/3 = 13.33 hrs
Time saved = 22-13.33 = 8.67 hrs
Answer is D
Answer: D
Question: If x=kc and y=kt,then 2y+x =?
Options:
A)k(t-c)
B)k(c-t)
C)c(k-t)
D)k(2t+c)
E)k(1-t)
Rationale: Just put in the given values of y and x
2y +x =2 kt +kc
Now take k common
2y + x = k(2t +c)
You get (D) as your answer.
Answer: D
Question: The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is
Options:
A)16cm
B)25cm
C)15cm
D)35cm
E)None of these
Rationale: Explanation:
So by now, you must be knowing this is a question of HCF, right.
H.C.F. of (700 cm, 385 cm, 1295 cm) = 35 cm.
Option D
Answer: D
Question: A train passes a station platform in 36 sec and a man standing on the platform in 21 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Options:
A)225 m
B)240 m
C)187 m
D)176 m
E)186 m
Rationale: Speed = 54 * 5/18 = 15 m/sec.
Length of the train = 15 * 21 = 315 m.
Let the length of the platform be x m . Then,
(x + 315)/36 = 15 => x = 225 m.
Answer:A
Answer: A
Question: A mixture of three edible oils is composed of olive oil, sunflower oil, and ground nut oil. How many ml of ground nut oil is required to make 5 liters of oil mixture containing twice as much olive oil as sunflower oil, and three times as much olive oil as groundnut oil?(1L=100ml)
Options:
A)300ml
B)1000ml
C)500ml
D)800ml
E)60ml
Rationale: 1L=1000ml
5L=5000ml
sunflower oil=2 olive oil
olive oil=3 groundnut oil
sunflower oil+olive oil+groundnut oil=5000
2 olive oil+olive oil+1/3 olive oil=5000
10 olive oil=5000
olive oil=500 ml
Answer is C
Answer: C
Question: A missile flies 6,000 miles at a speed of r mph. If the missile flies at a speed of r + 500 miles per hour, it would fly the same distance in 2 hours less. What is the value of r?
Options:
A)1,500 mph
B)1,000 mph
C)800 mph
D)1,200 mph
E)1,050 mph
Rationale: Equation: 6,000/r = 6,000/(r + 500) + 2
Plug options into the equation:
B fits: 6,000/1,000 = 6,000/(1,000+500) + 2
Answer: B
Answer: B
Question: It would take one machine 7 hours to complete a large production order and another machine 6 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
Options:
A)A 13/42
B)B 12/42
C)C 11/42
D)D 10/42
E)E 42/13
Rationale: The rate of the first machine is 1/7 job per hour;
The rate of the second machine is 1/6 job per hour;
Thus, the combined rate of the machines is 1/7+1/6=13/42 job per hour, which means that it takes 1/(13/42)=42/13 hours both machines to do the job.
Answer: D.
Answer: D
Question: If each term in the sum W=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Options:
A)38
B)39
C)40
D)41
E)42
Rationale: Min value of 'n' can be 10 i.e 4*22+6*12 =W=> 22+22+22+22+2+2+2+2+2+2 = 100
Since we don't have 10 in the options proceed further, (10-1)+22/2 => 20 digits, which is again not in the options
(20-1) + 22/2 = 30 digits ( not in options)
(30-1) + 22/2 = 40 digits
Hence C.
Answer: C
Question: A furniture dealer purchased a desk for $120 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Options:
A)70
B)66.67
C)65
D)75
E)80
Rationale: Anyway, in this question, there is no discount but the mark up is given as 40% of the selling price. So it is not 40% of $150 but instead, 40% of Selling price which is obtained by adding mark up to $120.
So if selling price is S,
120 + 40% of S = S
S = 200
Profit = 80 which is calculated on cost price in % terms. So 80/120 * 100 = 66.67% is profit.
B
Answer: B
Question: In an examination, 34% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both?
Options:
A)975
B)1150
C)1175
D)1243
E)1525
Rationale: Failed in 1st subject = 34*2500/100 = 850
Failed in 2nd subject = 42*2500/100 = 1050
Failed in both = 15*2500/100 = 375
Failed in 1st subject only = 850-375 = 475
Failed in 2nd subject only = 1050-375 = 675
Passed in either subject but not in both = 675+475 = 1150
Answer is B
Answer: B
Question: If sy > 0 and yz < 0, which of the following must be negative:
Options:
A)syz
B)sy(z^2)
C)s(y^2)z
D)x(y^2)(z^2)
E)(x^2)(y^2)(z^2)
Rationale: sy > 0 means that sy is positive.
yz < 0 means that yz is negative.
s(y^2)z = (sy)(yz) = positive*negative = negative. Thus option C is always negative.
Answer: C
Question: The water level in a reservoir has been dropping at the rate of 12 inches per day. Exactly 5 days ago, the water level was at w inches. What will be the water level exactly 4 days from now if the rate at which the level is dropping remains the same?
Options:
A)w − 108
B)w − 56
C)w − 14
D)w + 14
E)w + 126
Rationale: Drop=12 inches/day
5 Days ago=w, means now it's equal w-60 and in 4 days = w-60-48=w-108
Answer A
Answer: A
Question: A cyclist rides a bicycle 8 km at an average speed of 11 km/hr and again travels 11 km at an average speed of 8 km/hr. What is the average speed for the entire trip?
Options:
A)8.58
B)8.76
C)9.04
D)9.12
E)9.25
Rationale: distance = 19 km
time = 8/11 + 11/8 = (64 + 121) / 88 = 185 / 88 hours
average speed = (19 * 88) / 185 = 9.04 km/h
The answer is C.
Answer: C
Question: A boy was asked to find 7/9 of a x. But he divided the x by 7/9, Thus he got 32 more than theanswer. Find the x.
Options:
A)60
B)41
C)51
D)63
E)56
Rationale: x/7/9 = 9x/7 = 32 + y
Actualy he should do 7x/9 = y
y = (9x/7) - 32
y = (9x - 224)/7
(9x - 224)/7 = 7x/9
81x - 2016 = 49x
81x - 49x = 2016
32x = 2016
x = 63
D
Answer: D
Question: Of the 120 passengers on Flight 750, 45% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
Options:
A)44
B)48
C)46
D)52
E)56
Rationale: Number of passengers on flight = 120
Number of female passengers= .45*120 = 54
Number of passengers in first class = (10/100)* 120 = 12
Number of passengers in coach class = (90/100)* 120 = 108
Number of male passengers in first class = 1/3 * 12 = 4
Number of female passengers in first class = 12-4 = 8
Number of female passengers in coach class = 54 - 8 = 46
Answer C
Answer: C
Question: In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is
Options:
A)1 hour
B)2 hour
C)3 hour
D)4 hour
E)5 hour
Rationale: Let the duration of the flight be x hours.
Then, 600/x - 600/0.5x = 200
--> 600/x - 1200/(2x+1) = 200
--> x(2x + 1) = 3
--> 2x^2 + x - 3 = 0
--> (2x + 3)(x - 1) = 0
--> x = 1 hr.
Answer : A.
Answer: A
Question: What is 12 percent of 80?
Options:
A)11.21
B)9.6
C)8.66
D)12.23
E)13.1
Rationale: We assume that 80 is 100%
assume 'x' is value we looking for
here,
80 = 100% and
x = 12 %
therefore,
80/x = 100%/12%
80/x = 8.33
x = 9.6
B
Answer: B
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.25 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Options:
A)12
B)77
C)48
D)54
E)11
Rationale: Relative speed = 60 + 90 = 150 km/hr.
= 150 * 5/18 = 125/3 m/sec.
Distance covered = 1.10 + 1.25 = 2 km = 2250 m.
Required time = 2250 * 3/125 = 54 sec.
Answer: D
Answer: D
Question: A school has received 40% of the amount it needs for a new building by receiving a donation of $600 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
Options:
A)$200
B)$300
C)$100
D)$400
E)$250
Rationale: Let us suppose there are 100 people. 40% of them donated $16000 ( 400 * 40 )
$16000 is 40% of total amount.
So total amount = 16000 * 100/40
Remaining amount is 60% of total amount.
60% of total amount = 16000 * (100/40) * (60/100) =24000
This amount has to be divided by 60 ( remaining people are 60 )
So per head amount is 24000 / 60 = $400
ANSWER:D
Answer: D
Question: x, a, z, and b are single digit positive integers. x = 1/7 a. z = 1/7 b. (10a + b) – (10x + z) could NOT equal
Options:
A)30
B)36
C)42
D)63
E)66
Rationale: a=7x , b =7z therefore(7x.10+7z) - (10x +z) = (7-1) (10x+z) =6.(10x+Z)
number should be divisible by 6
D
Answer: D
Question: The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
Options:
A)Rs.20043.94
B)Rs.18654.81
C)Rs.20264.46
D)Rs.19612.41
E)None of these
Rationale: Let the rate of interest be R% p.a.
(49500)(3)(R)/100 = 17820
495R = 5940
R = 12
CI on Rs.49500 at 12% p.a. for three years
= 49500{[1 + 12/100]3 - 1} = 69543.936 - 49500 = Rs.20043.94
when rounded off to two decimal places.
ANSWER:A
Answer: A
Question: Two trains are moving in opposite directions @60kmph and 90kmph. Their length are 1.10km and 0.9km. The time taken by the slower train to cross faster train in second is?
Options:
A)25sec
B)30sec
C)48sec
D)36sec
E)40sec
Rationale: Relative speed = 60+90 = 150*5/18 = 125/3 m/s
Distance covered = 1.10+0.9 = 2km = 2000m
Required time= 2000*3/125 = 48sec
Answer is C
Answer: C
Question: A man buys an article for $15. and sells it for $20. Find the gain percent?
Options:
A)33 1/3%
B)50 1/3%
C)20 1/3%
D)15%
E)30%
Rationale: C.P. = $15
S.P. = $20
Gain = $5
Gain% = 5/15 *100 = 33 1/3%
Answer is A
Answer: A
Question: A right circular cylinder has a height of 24 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
Options:
A)500(π – 3)
B)500(π – 2.5)
C)500(π – 2)
D)600(π – 1.5)
E)500(π – 1)
Rationale: [quote=Bunuel]A right circular cylinder has a height of 20 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
The square base has sides of sqrt(50) due to the 45-45-90 triangle
24*25*pi - 15*sqrt(50)^2
=600(π – 1.5)
D. 500(π – 1.5)
Answer: D
Question: Two workers can type two pages in two minuets then how many persons can type 18 pages in 6 minuets
Options:
A)2Workers
B)3Workers
C)6Workers
D)7Workers
E)8Workers
Rationale: 2Worker 2pages 2minutes
1Worker 1page 2minutes
1worker 18pages 36minutes
Therefore to reduce the time by 6 times, workers should be increased by 6 times
ANSWER:C
Answer: C
Question: A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 6 letters in its codes, and all letters can be repeated in any one code?
Options:
A)A.321272406
B)B.308915776
C)C.11881376
D)D.456976
E)E.17576
Rationale: The no of ways in which the company can make codes of 1 letter : 26
# for 2 letters : 26*26 = 676
# for 3 letters : 26 * 26*26 =17576
# for 4 letters : 26 * 26*26*26 =456976
# for 5 letters : 26 * 26*26*26*26 =11881376
# for 6 letters : 26 * 26*26*26*26*26 =308915776
The total : By adding all of them , 26+676+17576+456976+11881376+308915776=321272406
A
Answer: A
Question: The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Options:
A)1178
B)144
C)66
D)8
E)55
Rationale: The word MEADOWS has 7 letters of which 3 are vowels.
-V-V-V-
As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.
Hence the total ways are 24 * 6 = 144.
Answer: B
Answer: B
Question: If the sum of 3 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 3
Options:
A)I only
B)II only
C)III only
D)I and III
E)II and III
Rationale: sum of 3 consecutive integers
= (n) + (n+1) + (n+2)
=3n + 3
= odd + odd = even
= 3(n+1) = divisible by 3
Hence, x is even and divisible by 3.
Answer: D
Answer: D
Question: A and B start from Opladen and Cologne respectively at the same time and travel towards each other at constant speeds along the same route. After meeting at a point between Opladen and Cologne, A and B proceed to their destinations of Cologne and Opladen respectively. A reaches Cologne 40 minutes after the two meet and B reaches Opladen 80 minutes after their meeting. How long did A take to cover the distance between Opladen and Cologne?
Options:
A)1 hour
B)1 hour 10 minutes
C)2 hours 30 minutes
D)1 hour 20 minutes
E)2 hours 10 minutes
Rationale: v1 and V2 are speeds.
v1.t /80 = v2
v2.t/40 = v1
v1/v2 = 2
which train A would 80. 1/2 mins to cover the same distance
40 + 40 = 80 mins (ans D)
Answer: D
Question: The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
Options:
A)8
B)9
C)7
D)5
E)2
Rationale: 3x + 5x + 7x = 45
x =3
3x = 9
Answer: B
Answer: B
Question: A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 40 miles per hour? (1 mile = 5,280 feet)
Options:
A) 1
B) 2
C) 4
D) 6
E) 7
Rationale: Distance: 4024 feet. This is (4024/5280) miles = 0.76 miles
Speed: 40 miles per hour
Time: (Distance / Speed) (0.76/40) {This will come in Hours}. Multiply by 60 to get answer in minutes. It is 1.14 minutes.
Answer to be 1 minutes.
Answer: A
Question: An investment of Rs.800 doubled in 4 years when compounded annually. How many more years will it take to get another Rs.1600 compound interest?
Options:
A)1 years
B)6 years
C)4 years
D)5 years
E)3 years
Rationale: Explanatory Answer
Rs.800 invested in compound interest becomes Rs.1600 in 4 years.
The amount will double again in another 4 years.
i.e., the amount will become Rs.1600 in another 4 years.
So, to earn another Rs.1600 interest, it will take another 4 years.
Answer C
Answer: C
Question: 3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?
Options:
A)50
B)40
C)30
D)20
E)10
Rationale: Explanation :
Work done by 4 men and 6 women in 1 day = 1/8
Work done by 3 men and 7 women in 1 day = 1/10
Let 1 man does m work in 1 day and 1 woman does w work in 1 day. The above equations can be written as
4m + 6w = 1/8	---(1)
3m + 7w = 1/10	---(2)
Solving equation (1) and (2) , we get m=11/400 and w=1/400
Amount of work 10 women can do in a day = 10 × (1/400) = 1/40
Ie, 10 women can complete the work in 40 days
Answer : Option B
Answer: B
Question: What is the probability of getting exactly 2 heads in a single throw of five fair coins?
Options:
A)1/4
B)3/8
C)3/16
D)5/16
E)11/32
Rationale: One possible case is HHTTT.
P(HHTTT) = 1/2*1/2*1/2*1/2*1/2 = 1/32
There are 5C2 = 10 possible cases.
P(2 heads) = 10*1/32 = 5/16
The answer is D.
Answer: D
Question: If −y ≥ x, and −x < −6, then which of the following must be true?
Options:
A)y = −6
B)y > −6
C)−y > 6
D)y ≤ −6
E)y ≥ −6
Rationale: −y ≥ x, and −x < −6
y <= -x < -6
As '-x' is less than '-6' and Y is less than or equal to '-x'
we have y < -6 which is similar to -y > 6.
C) -y>6
Answer: C
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 8100
interest only for the period. The principal amount borrowed by her was
Options:
A)Rs. 22500
B)Rs. 10000
C)Rs. 15000
D)Rs. 20000
E)None of these
Rationale: Explanation :
Principal = Rs. (100×8100 / 12×3)
=> Rs. 22500.
Answer : A
Answer: A
Question: Johnny makes $4.75 per hour at his work. If he works 6 hours, how much money will he earn?
Options:
A)$30
B)$54
C)$28.50
D)$12
E)$9.60
Rationale: 4.75*6=28.50. Answer is C.
Answer: C
Question: A man spends 3/5 of his expenditure on house rent,2/5 of his expenditure on food and 1/6 of his expenditure on conveyence.if he spent total 12000 rs.,find his expenditure on food.
Options:
A)4800
B)4000
C)3500
D)7500
E)2800
Rationale: expenditure=12000 rs.
expenditure on food =12000*2/5=4800 rs.
answer A
Answer: A
Question: The price of commodity X increases by 30 cents every year, while the price of commodity Y increases by 20 cents every year. If in 2001, the price of commodity X was $4.20 and the price of commodity Y was $4.50, in which year will commodity X cost 90 cents more than the commodity Y?
Options:
A)2010
B)2011
C)2012
D)2013
E)2014
Rationale: The cost of commodity X increases by 10 cents per year relative to commodity Y.
The price of X must gain 30 + 90 = $1.20 cents on commodity Y, which will take 12 years.
The answer is D.
Answer: D
Question: A began business with 12500 and is joined afterwards by B with 25000. When did B join, if the profits at the end of the year are divided equally?
Options:
A)8 months
B)9 months
C)6 months
D)5 months
E)None of these
Rationale: Let B join after x months of the start of the business so that B’s money is invested for (12 – x) months.
∴ Profit ratio is 12 × 12500 : (12 – x) × 25000
or 12 : 2(12 – x)
Since profit is equally divided so
12 = 2(12 – x) or x = 6. Thus B joined after 8 months.
Answer C
Answer: C