RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A tank contains 7,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
A. 4.77%
B. 5.77%
C. 6.77%
D. 7.77%
Answer: D. 7.77%
Explanation: We start with 7,000 gallons of a solution that is 5% sodium chloride by volume. This means that there are 0.05 x 7,000 = 350 gallons of sodium chloride.
When 2,500 gallons of water evaporate we are left with 4,500 gallons of solution. From here we can determine what percent of the 4,500 gallon solution is sodium chloride.
(sodium chloride/total solution) x 100 = ?
(350/4,500) x 100 = ?
0.077 x 100 = ?
= 7.7%
Answer is D.
Question: A starts 3min after B for a place 4.5 km distant B on reaching his destination immediately returns and after walking a km meets A. If A can walk 1km in 18min, then what is B's speed?
A.5kmph
B.4kmph
C.6kmph
D.3.5kmph
Answer: A.5kmph
Explanation: If speed of B is x kms/min, then
(4.5+1)/x= [3.5/(1/18)] +3
x=1/12 km/min= 5 kms/hr
ANSWER:A
Question: 45 men can complete a work in 17 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?
A.6.6
B.10
C.15
D.7
Answer: A.6.6
Explanation: 45*17 men can complete the work in 1 day
1 man's 1 day work = 1/765
45 men 6 days work = 6*1/17 = 6/17
remaining work = 1-6/17 = 11/17
75 men's 1 day's work = 75/765 = 5/51
11/17 work is done by them in 51/5 * 11/17 = 6.6 days
Answer is A
Question: Johnny borrows $30,000 from Tony at 3% daily interest compounded daily. How much does Johnny owe Tony after 4 weeks?
A.30000*0.02^56
B.30000*1.12
C.30000*2.12
D.30000*1.03^28
Answer: D.30000*1.03^28
Explanation: A=A= P(1+r100)^n
So, A=30000(1+3/100)^7âˆ—4
So, A=A= 30000(1.03)^28
Hence answer will be (D)
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 22 sec. What is the length of the goods train?
A.299
B.190
C.276
D.270
Answer: B.190
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 22 sec.
Let the length of the train be x meters.
Then, (x + 250)/22 = 20
x = 190 m.
Answer: B
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.20000, find their shares?
A.s.8000, Rs.12000
B.s.8000, Rs.12700
C.s.10000, Rs.12090
D.s.8000, Rs.12003
Answer: A.s.8000, Rs.12000
Explanation: The ratio of their profits A:B
= 8:12 = 2:3
Share of A in the total profit
= 2/5 * 20000
= Rs.8000 Share of A in the total profit = 3/5 * 20000
= Rs.12000
Answer: A
Question: For what value(s) of x is the following equation satisfied: 5x-9-4x = -4x+6+5x
A.a. -5
B.b. 0 only
C.c. 5/2 only
D.d. No value
Answer: D.d. No value
Explanation: 5x-9-4x = -4x+6+5x
k - 9 = k + 6
-9 = 6, which is false.
So, no k satisfies given equation.
Answer: D.
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A.18:11
B.22:13
C.23:12
D.11:9
Answer: A.18:11
Explanation: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11
ANSWER:A
Question: An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
A.700 km/hr
B.720 km/hr
C.780 km/hr
D.800 km/hr
Answer: B.720 km/hr
Explanation: Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed = 1200 x 3 km/hr = 720 km/hr.
B
Question: Certain stocks in April were 10% less than they were in May and 20% Lesser than they were in June. What was the percentage decrease in the stocks from May to June?
A.5%
B.10%
C.20%
D.28%
Answer: D.28%
Explanation: Let stocks value in Feb = 100 => In Jan = 90 and March = 90 * 80/100 = 72
Thus, percent decrease in stocks from Feb to March = 100 - 72 = 28%
Hence Answer is D
Question: find the remainder (32)^33^34 when divided by 11?
A.9
B.10
C.11
D.12
Answer: B.10
Explanation: unit digit of 33^34 = 9 i.e odd no.
(32)^33^34 / 11
= (11*3-1)^(-------9) / 11
= (-1)^(odd) / 11
= -1/10
=> rem = -1+11 = 10
ANSWER:B
Question: Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?
A.25
B.66
C.77
D.99
Answer: A.25
Explanation: Let the cost of each ice-cream cup be Rs.x
16(6) + 5(45) + 7(70) + 6(x) = 961
96 + 225 + 490 + 6x = 961
6x = 150 => x = 25.
Answer: A
Question: In Town X, 64 percent of the population are employed, and 40 percent of the population are employed males. What percent of the employed people in Town X are females?
A.16%
B.24%
C.38%
D.40%
Answer: C.38%
Explanation: We are asked to find the percentage of females in employed people.
Total employed people 64%, out of which 40 are employed males,hence 24% are employed females.
(employed females)/(total employed people)=24/64=38%
Answer: C.
Question: Sunil invested $ 1800 fir 4 years and $ 1300 for 2 years at the same rate of Simple Interest. If the total interest from these investments is $ 1900, what is the rate of interest?
A.18 3/4%
B.5 1/3%
C.19 1/4%
D.16%
Answer: C.19 1/4%
Explanation: (1800x4xR)/100+(1300x2xR)/100=1900
98R=1900
R= 19 1/4%
Answer is C
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
A.2277
B.2669
C.2200
D.2766
Answer: C.2200
Explanation: Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2178.
=> (90%) of (110%) of x = Rs. 2178.
=> (90/100)(110/100)x = 2178
=> x = (2178 * 100)/(9 * 11)
=> x = Rs. 2200
Answer: C
Question: Pipe A fills a tank in 42 minutes. Pipe B can fill the same tank 6 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: A's rate is 1/42 and B's rate is 1/7.
The combined rate is 1/42 + 1/7 = 1/6
The pipes will fill the tank in 6 minutes.
The answer is D.
Question: A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
A.230
B.320
C.450
D.540
Answer: C.450
Explanation: The number of chocolate bars is equal to
18 *25 = 450
correct answer C
Question: A small water pump would take 3 hours to fill an empty tank. A larger pump would take 1/4 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
A.3/13
B.1/5
C.1/10
D.1/3
Answer: A.3/13
Explanation: Rate of the small pump is 1/3 tank/hour
Rate of the larger pump is 1/(1/4) or 4 tank/hour;
Combined rate of the two pumps is 1/3+4=13/3 tank/hour, together they will fill the empty tank in 1/(13/3)= 3/13 hours (time=job/rate).
Answer: A
Question: Susan, John, Tim, Matt and Kim need to be seated in 5 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
A.A)60
B.B)120
C.C)80
D.D)240
Answer: A.A)60
Explanation: Total number of arrangements = 5! = 120
In exactly half, Susan will be to the left of Tim, which gives us 60 arrangements
Option (A)
Question: A man two flats for $675958 each. On one he gains 14% while on the other he loses 14%. How much does he gain or lose in the whole transaction?
A.1.96%
B.2.56%
C.3.12%
D.4.65%
Answer: A.1.96%
Explanation: In such a case there is always a loss
Loss% = (14/10)^2 = 49/25 = 1.96%
Answer is A
Question: James can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
A.365/784
B.415/784
C.175/256
D.256/175
Answer: C.175/256
Explanation: James will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes.
So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes.
The event of not hitting the target even once is the complement of the event of hitting the target at least once.
The probability that he will not hit the target in any given shot = 1 – 1/4 = ¾
Therefore, the probability that he will not hit the target in any of the four shots =3/4*3/4*3/4*3/4=81/256
The probability that he will hit the target at least in one of the four shots=1-81/256
=175/256
Ans: C
Question: If 10 people contributed a total of $30.00 toward a gift and each of them contributed at least $2.00, then the maximum possible amount any one person could have contributed is
A. $1.00
B. $1.25
C. $12.00
D. $6.00
Answer: C. $12.00
Explanation: C for me
9 people with 2$ each -> maximum = 12
Question: The speed of a bus increases by 2 kmph after every one hour. If the distance travelled in the first one hour was 35 km, what was the total distance travelled in 12 hours?
A.550
B.500
C.552
D.560
Answer: C.552
Explanation: Dist 1st hr = 35 km
speed of bus by 2 kmph 2nd hr = 37 km
3rd hr = 39 km
tot = 35+37+39+....(12 terms)
12/2(2*35+(12-1)2]
=6*92
= 552
ANSWER C
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $25. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
A.9/(25xy)
B.xy/225
C.225/(xy)
D.225xy
Answer: C.225/(xy)
Explanation: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 25 / (xy/9) = 225/(xy).
The answer is C.
Question: The probability that B can shoot a target two out of two times is 0.5. What is the probability that the target will be missed by B immediately after such two shots?
A.0.25
B.0.5
C.0.75
D.0.4
Answer: B.0.5
Explanation: Suppose there are total 'x' shots.
B shoots 2 out of 2 times. means out of x shots (x>2) B shots 2 out of 2 ----> B shots at least 2 out of x.
therefore, 2/x = 0.5 (given)
the target will be missed by B immediately after such two shots : this means he can shot just twice ...the third shot cannot happen which means he missed (x-2) shots.
thus, the probabilty of missing just after 2 shots is (x-2)/x.
(x-2)/x = 1 - 2/x
= 1 - 0.5
= 0.5
Answer : B
Question: In the x-y plane, the area of the region bounded by the graph of |x+y| + |x-y| = 12 is
A.8
B.12
C.16
D.1296
Answer: D.1296
Explanation: I've never seen such kind of question in GMAT before.
OK there can be 4 cases:
|x+y| + |x-y| = 12
A. x+y+x-y = 12 --> x=6
B. x+y-x+y = 12 --> y=6
C. -x-y +x-y= 12 --> y=-6
D. -x-y-x+y=12 --> x=-6
The area bounded by 4 graphs x=6, x=-6, y=6, y=-6 will be square with the side of 4 so the area will be 36*36=1296
Answer:D
Question: In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
A.200
B.120
C.245
D.320
Answer: A.200
Explanation: (3 men out 6) and (2 ladies out of 5) are to be chosen.
Required number of ways = (6c3x5c2)
= [6x5x4/3x2x1] x [5x4/2x1] = 200.
Ans: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
A.12 sec
B.3 sec
C.4 sec
D.10 sec
Answer: B.3 sec
Explanation: They are moving in opposite directions, relative speed is equal to the sum of their speeds.
Relative speed = (45 + 72)*5/18 = 32.5 mps.
The time required = d/s = 100/32.5 = 3 sec.
ANSWER:B
Question: If a and b are positive integers such that a/b = 3.98, which of the following must be a divisor of a?
A.67
B.197
C.91
D.199
Answer: D.199
Explanation: 1) A and B are positive INTEGERS
2) A/B = 3.98
A = 398
B = 100
398/100 = 3.98
These values are NOT the smallest possible values though (since they're both even, we can divide both by 2)...
A = 199
B = 50
199/50 = 2.86
There is no other way to reduce this fraction, so A must be a multiple of 199 and B must be an equivalent multiple of 50. At this point though, the value of B is irrelevant to the question. We're asked for what MUST divide into A....
Since A is a multiple of 199, we have to 'factor-down' 199. This gives us only (199), excluding 1 itself. So this number MUST be a factor of A. You'll find the match in the answer choices.
Answer: D
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
A.180 m
B.1870 m
C.050 m
D.150 m
Answer: D.150 m
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer:D
Question: Ranjit went to the market with Rs. 100. If he buys 3 pens and 6 pencils he uses up all his money. On the other hand, if he buys 3 pencils and 6 pens he would fall short by 20%. If he wants to buy equal number of pens and pencils, how many pencils can he buy?
A.222
B.277
C.267
D.100
Answer: D.100
Explanation: Let price of a pen = x and pencil = y
3x + 6y = 100 ....(i)
and 6x + 3y = 125 ....(ii)
Adding (i) and (ii)
9(x + y) = 225
x + y = 25
multiply by 4
4x + 4y = 100
He can by 4 pens and 4 pencils in Rs. 100.
Answer:D
Question: John tossed a fair coin 4 times. What is the probability that the coin landed heads up exactly twice?
A.0.15
B.0.25
C.0.3
D.0.35
Answer: B.0.25
Explanation: The probability is exactly same as the cion landed tail up once. That is 4*(1/2)^4 = 4/16 =0.25.
The answer is, therefore, (B).
Question: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
A.2777
B.2565
C.9877
D.1900
Answer: D.1900
Explanation: 2000 ---- 54
2000 ---- 39
x ----- 20
x*20 = 2000*39
x = 3900
2000
-------
1900
Answer:D
Question: Which of the following equations is NOT equivalent to 4a^2 = b^2 - 9 ?
A. 4a^2 + 9 = b^2
B. 4a^2 - b^2 = -9
C. 4a^2= (b + 3)(b - 3)
D. 2a = b - 3
Answer: D. 2a = b - 3
Explanation: 4a^2 = b^2 - 9
The basic rule when dealing with equations is that you can do ANYTHING to both sides of an equation as long as you do it EQUALLY to BOTH sides. Everything gets a bit more complex when you're dealing with variables in the denominator of a fraction and/or inequalities, but neither of those subjects is a factor in this prompt.
Looking at Answer D, we have....
2a = b - 3
While you COULD take the square root of both sides of the original equation, it's important to note that the square root of b^2 - 9 is NOT (b-3).
b^2 - 9 can be factored into (b-3)(b+3), but neither of these parentheses is the square root of b^2 - 9.
You can see the proof when you square either of the two parentheses:
(b-3)^2 = b^2 - 6a + 9
(b+3)^2 = Y^2 + 6a + 9
Thus, D is NOT equivalent to the prompt.
Question: A basketball player succeeds with 70% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once?
A.0.952
B.0.964
C.0.973
D.0.985
Answer: C.0.973
Explanation: P(missing all 3 free throws) = 0.3^3 = 0.027
P(succeeding at least once) = 1 - 0.027 = 0.973
The answer is C.
Question: A car takes 8 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
A.10Kmph
B.45Kmph
C.60Kmph
D.55Kmph
Answer: B.45Kmph
Explanation: Time = 8
Distence = 540
3/2 of 8 hours = 8 * 3/2 = 12 Hours
Required speed = 540/12 = 45 Kmph
B)
Question: Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
A.590 liters
B.540 liters
C.740 liters
D.560 liters
Answer: B.540 liters
Explanation: 1/12 + 1/15 - 1/x
= 1/15
x = 12
12 * 45 = 540
Answer:B
Question: There are 133 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
A.10
B.11
C.12
D.13
Answer: B.11
Explanation: IMO 12
Take each answer choice and substract it from 133 and the divided this with 11.
B
Question: L9Q,L36S,P81U,R144W,T225U,?
A.V434Y
B.U475Y
C.V472Z
D.V324Y
Answer: D.V324Y
Explanation: L + Q = 9
L + S = 36
P + U = 81
R + W = 144
T + W = 225
3^2 , (3*2=6)^2 , (3*3)^2 , (3*4)^2 , (3*5)^2 ---> AS per this number sequence
=> next number = (3*6)^2 = 324
V + Y =324 => V324Y
ANSWER:D
Question: What is the place value of 7 in the numeral 7259
A.A)2700
B.B)2800
C.C)2900
D.D)7000
Answer: D.D)7000
Explanation: 7 * 1000 = 7000
D
Question: Which is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, 10 is 4?
A.168
B.172
C.182
D.140
Answer: B.172
Explanation: First we need to figure out what numbers are exactly divisible by 7,12,10. This will be the set {LCM,LCMx2,LCMx3,...}
LCM(7,12,10) = 42*10 = 420
The numbers which will leave remainder 4 will be {420+4, 420x2 +4, ,...}
The largest such number less than or equal to 1856 is 420*4+4 or 1684
To obtain this you need to subtract 172.
B
Question: In a village of 2,700 people, 900 people are over 70 years old and 1200 people are female. It is known that 60 percent of the females are younger than 70 years old. If no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?
A.4/5
B.5/7
C.13/15
D.37/45
Answer: D.37/45
Explanation: The number of people younger than 70 years old is 2700-900 = 1800
The number of females older than 70 years old is 0.4*1200 = 480
The number of males older than 70 years old is 900-480 = 420
The number of people who are either male or younger than 70 is 1800+420 = 2220.
P(a person is younger than 70 or male) = 2220/2700 = 37/45
The answer is D.
Question: There are 2 sections A and B in a class, consisting of 60 and 70 students respectively. If the average weight of section A is 60kg and that of section B is 80kg, Find the average of the whole class?
A.50.78kg
B.49.32kg
C.70.76kg
D.69.15kg
Answer: C.70.76kg
Explanation: Total weight of 60+70 students = 60*60 + 70*80 = 3600+5600
Average weight of the class is = 9200/130 = 70.76 kg
Answer is C
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
A.65 Kmph
B.70 Kmph
C.72 Kmph
D.75 Kmph
Answer: C.72 Kmph
Explanation: Length = Speed * time
Speed = L/T
S = 400/20
S = 20 M/Sec
Speed= 20*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 72 Kmph
ANSWER:C
Question: Henry answered 3/5 of the questions he was given for homework in the first hour, 5/17 of the remaining questions in the second hour and the remaining x questions in the third hour where x is an integer. How many questions was Henry given for homework?
A.x
B.(85/12)*x
C.(85/24)*x
D.(85/36)*x
Answer: C.(85/24)*x
Explanation: Let Q be the number of homework questions.
Q = 3Q/5 + (5/17)(2Q/5) + x
Q = 51Q/85 + 10Q/85 + x
24Q/85 = x
Q = (85/24)*x
The answer is C.
Question: If the population of a certain country increases at the rate of 10 person every 60 seconds, by how many persons does the population increase in 1 hour?
A.100
B.200
C.600
D.800
Answer: C.600
Explanation: Answer = 10 * 60(1 hour = 60 minutes)= 600
Answer = C
Question: 252 can be expressed as a product of prime as
A.2 x 2 x 3 x 3 x 7
B.2 x 2 x 2 x 3 x 7
C.3 x 3 x 3 x 3 x 7
D.2 x 3 x 3 x 3 x 7
Answer: A.2 x 2 x 3 x 3 x 7
Explanation: Solution
Clearly, 252 =2 x 2 x 3 x 3 x 7
Answer A
Question: In a T.V. factory, an average of 62 TVs are produced per day for the fist 25 days of the months. A few workers fell ill for the next five days reducing the daily avg for the month to 58 sets/day . The average production per day for day last 5 days is ?
A.35
B.38
C.48
D.50
Answer: B.38
Explanation: Production during these 5 days = Total production in a month - production in first 25 days.
= 30 x 58 - 25 x 62
= 19
âˆ´ Average for last 5 days = 190 / 5
= 38
B
Question: There are three departments having students 70,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
A.73
B.74
C.75
D.76
Answer: D.76
Explanation: WE NEED TO TAKE GCD WHICH IS 2
THUS ALL THE ROOMS WILL HAVE 2 STUDENTS OF THE SAME DEPT
1) 70/2 = 35
2) 58/2 = 29
3) 24/2 = 12
TOTAL NO. OF MIN ROOMS REQD = 35+12+29 = 76
ANSWER:D
Question: The cost of 16 apples and 8 mangos is $352 and the cost of 4 apples and 4 mangos is $96. Find the cost of each apple?
A.40
B.20
C.30
D.35
Answer: B.20
Explanation: B
20
Let the cost of each apple and mango be 'p' and 'q' respectively.
16p + 8q = 352 --- (1)
4p + 4q = 96
8p + 8q = 192 --- (2)
(1) - (2) => 8p = 160
=> p = 20
Question: If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers i
A.2 : 3
B.3 : 4
C.3 : 20
D.20 : 3
Answer: C.3 : 20
Explanation: Sol.
0.4A = 0.06 B ⇔ A / B = 0.06 / 0.40 = 6/40 = 3/20.
∴ A : B = 3 : 20.
Answer C
Question: Population of a city in 20004 was 1000000. If in 2005 there isan increment of 10% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007
A.976374
B.979923
C.980241
D.1036750
Answer: D.1036750
Explanation: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)
= P (1 + 10/100)(1 - 35/100)(1 + 45/100)
= 1036750
D
Question: List all the even integers between 1 and 11. Find the lowest positive interger that can be divided by each of those numbers.
A.120
B.234
C.231
D.183
Answer: A.120
Explanation: The even numbers between 1 and 11 are 2,4,6,8,10,
To get the least positive integer that can be divided by each of these numbers 1,2,3,4,5,6,7,8,9,10 you calculate the lowest common denominator of all the numbers. Express each number as a product of their prime factors and multiply the set of prime numbers from each set with the highest exponent value.
LCM=2^3*3*5
The answer is A)
Question: jerry and Michelle play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. Michelle plays first, giving jerry a third of her cards. jerry plays next, and Michelle follows. Then the game ends. jerry ended up with 14 more cards than Michelle. How many cards did each player have originally?
A.27
B.30
C.34
D.36
Answer: A.27
Explanation: Game Michelle Jerry michelle
Initially 2727 assume
After game 1 1836
After game 2 3024
After game 3 2034
Now jerry has 14 cards more than Michelle.
So the answer is A
Question: Using all the letters of the word "ANOTHER", how many words can be formed, which begin with A and end with R?
A.80
B.90
C.110
D.120
Answer: D.120
Explanation: There are seven letters in the given word.
Consider 7 blanks ....
The first blank and last blank must be filled with A and R all the remaining five blanks can be filled with the remaining 5 letters in 5! ways.
The number of words = 5! = 120.
ANSWER:D
Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. What is the length of the garden?
A.22
B.24
C.26
D.28
Answer: B.24
Explanation: Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length
Also, 1 meter is left from all sides of the boundary of the garden.
Hence, length of the garden = (11 × 2) + 1 + 1 = 24 meter
Answer is B.
Question: If (1+a)b=b, which of the following must be true?
A.a=-1 or b=0
B.a=0 or b=0
C.a=1 or b=1
D.a=-1 or b=-1
Answer: B.a=0 or b=0
Explanation: By only having ab=0, we cannot say answer is B as A and E options also satisfy the condition ab=0. ans B