RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Ram purchased a flat at Rs. 1 lakh and Prem purchased a plot of land worth Rs. 1.1 lakh. The respective annual rates at which the prices of the flat and the plot increased were 10% and 5%. After two years they exchanged their belongings and one paid the other the difference. Then
A.Ram paid Rs. 275 to Prem
B.Ram paid Rs. 475 to Prem
C.Ram paid Rs. 375 to Prem
D.Prem paid Rs. 475 to Ram
Answer: A.Ram paid Rs. 275 to Prem
Explanation: Explanation :
After 2 years the price of the flat will be (1)(1.10)2 = Rs. 1.21 lakh.
Correspondingly the price of the land will be (1.1)(1.05)2 = Rs. 1.21275 lakh.
Hence, the price of the plot is Rs. (1.21275 – 1.21) lakh = Rs. 275 more than that of the flat. Hence, if they exchange, Ram will have to pay Prem this amount.
Answer : A
Question: How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 50 percent butterfat to obtain milk that is 20 percent butterfat?
A.6
B.12
C.14
D.24
Answer: D.24
Explanation: Equate the fat:
0.1x + 0.5*8 = 0.2(x + 8) --> x = 24.
Answer: D.
Question: If x and y are positive odd integers, then which of the following must also be an odd integer? I. x^(y+2) II. x(y+4) III. (y+1)^(x-1) + 2
A.II,III only
B.I,II only
C.I only
D.II only
Answer: B.I,II only
Explanation: let x= 5, y= 3
I. 5^5 = > Odd
II. 5*7 = > Odd
III. 4^4 +2= > Even
Answer : B
Question: The present worth of Rs.1404 due in two equal half-yearly instalments at 8% per annum. Simple interest is:
A.1320
B.1300
C.1325
D.120
Answer: C.1325
Explanation: Explanation:
Required Sum = PW of Rs.702 due 6 months hence +PW of Rs.702 due 1 year hence
=Rs.[100×702/100+(8×12)+100×702/100+(8×1)]
= Rs. 1325
Answer: C
Question: A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. What is the length of the train?
A.62 m
B.54 m
C.50 m
D.55 m
Answer: C.50 m
Explanation: Explanation:
Let x is the length of the train in meter and v is its speed in kmph
x/9 = ( v-2)(10/36) ---(1)
x/10 =( v-4) (10/36) --- (2)
Dividing equation 1 with equation 2
10/9 = (v-2)/(v-4)
=> 10v - 40 = 9v - 18
=> v = 22
Substituting in equation 1, x/9 = 200/36 => x = 9×200/36 = 50 m
Answer: Option C
Question: If Q = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in Q than the median of the numbers in Q?
A. 1.0
B. 1.5
C. 2.0
D. 2.5
Answer: A. 1.0
Explanation: This is a good question to understand the difference between mean and median.
Mean: Average of all the numbers. (Sum of all the elements divided by the number of elements)
Median: Arrange the elements of the set in increasing order. If the number of terms is odd, the middle term is the median. If the number of terms is even, the average of middle two terms is the median
Coming to this question,
Mean = (1 + 7 + 18 + 20 + 29 + 33)/6 = 18
Median = (18 + 20)/2 = 19
Difference = 1
Option A
Question: 4 persons a, b, c, d are to be lined up in a row. If a, b, and c adhere always together, how many possible cases are there?
A.12
B.36
C.48
D.72
Answer: A.12
Explanation: firstly it is not GEOMETRY but COMBINATIONS, so changing the TAG accordingly..
total 4 are there..
take a,b, and c as one,so total =2..
these 2 can be arranged in 2! ways..
a,b, and c can be arranged within themselves in 3! ways ..
TOTAL = 2!*3!=12
A
Question: At Company X, senior sales representatives visit the home office once every 20 days, and junior sales representatives visit the home office once every 15 days. The number of visits that a junior sales representative makes in a 2-year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
A.10%
B.25%
C.33%
D.50%
Answer: C.33%
Explanation: Each 60-day period, senior representatives visit the home office 3 times while junior representatives visit 4 times, thus 33% more.
The answer is C.
Question: Otto and Han are driving at constant speeds in opposite directions on a straight highway. At a certain time they are driving toward each other and are 10 miles apart. One and a half hours later, they are again 10 miles apart, driving away from each other. If Otto drives at a speed of x miles per hour, then, in terms of x, Han drives at a speed of how many miles per hour?
A.a) 13.33-x
B.b) 40-x
C.c) 80-2x
D.d) 120-x
Answer: A.a) 13.33-x
Explanation: Let's say the two cars have speeds V1 and V2. The fact that they are moving in opposite direction means that their relative speed is (V1 + V2). In other words, any gap between them will be changing in size at a rate of (V1 + V2). It doesn't matter whether they are moving toward each other or away from each other. If they are approaching each other, the gap between them is decreasing at a rate of (V1 + V2). If they are moving away from each other, the gap between them is increasing at a rate of (V1 + V2). Either way, the number for the rate of change remains the same.
Here, the two cars approach a distance 10 mi, then move away from each other another distance of 10 miles. That's a total distance of 20 miles in 1.5 hr, which gives a rate of:
R = (20 mi)/(1.5) = 13.33 mph
That's the rate of change of the gap, so it must equal the sum of the speeds of the two cars.
One of the speeds is x, and let's call the other y. We want y.
x + y = 13.33
y = 13.33 - x
Answer =(A)
Question: At 11:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 3:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?
A.6:00 p.m.
B.7:00 p.m.
C.8:00 p.m.
D.9:00 p.m.
Answer: B.7:00 p.m.
Explanation: By the time Jim starts, Tom has already covered = 4 hr * 10 mph = 40 miles
Relative speed = 20- 10 = 10mph
To catch up, Jim needs to cover 40 miles which can be covered in = 40/10= 4 hours
If Jim leaves at 3 pm, he will catch Tom at 7 pm
Answer: B
Question: A train 125 m long pass a telegraph pole in 5 seconds. Find the speed of the train
A.90 km/hr
B.68.4 km/hr
C.72 km/hr
D.79.2 km/hr
Answer: A.90 km/hr
Explanation: Sol.
Speed = [125/5] m/sec = [25 * 18/5] km/hr = 90 km/hr.
Answer A
Question: Express 25 mps in kmph?
A.77 kmph
B.55 kmph
C.90 kmph
D.56 kmph
Answer: C.90 kmph
Explanation: 25 * 18/5 = 90 kmph
Answer: C
Question: How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
A.33
B.88
C.27
D.88
Answer: C.27
Explanation: 4/3 π * 3 * 3 * 3 = 4/3 π * 1 * 1 * 1 * x
x = 27
Answer: C
Question: If a quarter kg of potato costs 60 paise, how many paise does 200 gm cost?
A.65 paise
B.70 paise
C.52 paise
D.48 paise
Answer: D.48 paise
Explanation: Explanation :
Let 200 gm potato costs x paise
Cost of ¼ Kg potato = 60 Paise
=> Cost of 250 gm potato = 60 Paise (∵ 1 Kg = 1000 gm => ¼ Kg = 1000/4 gm = 250 gm)
More quantity, More Paise (direct proportion)
Hence we can write as
Quantity200:250}::x:60
⇒200×60=250×x⇒4×60=5×x⇒4×12=x⇒x=48 . Answer : Option D
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
A.120
B.145
C.166
D.170
Answer: C.166
Explanation: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
Question: If m is an odd integer and n an even integer, which of the following is definitely odd?
A.(2m+n)(m-n)
B.(m+n2)+(m+n2)
C.m2+mn+n2
D.m +n
Answer: D.m +n
Explanation: m+n because the sum of an even and an odd number is always an odd number.
Ex: 3 is an odd number and 6 is an even number. Now, 3+6=9, is an odd number.
ANSWER:D
Question: Daniel is playing a dice game in which a dice is rolled 5 times. If a number turns up exactly 3 times then the game is won. Daniel has thrown the dice two times and got number 4 both times. What is the probability that Daniel will win the game ?
Note: the dice is an unbiased die with numbers 1 to 6
A.1/216
B.75/216
C.80/216
D.90/216
Answer: C.80/216
Explanation: Probability of any number from 1 to 6 = 1/6.
Given that you already have 2 4s , leaving you with 3 more slots to determine if you will win or not.
2 scenarios for a win:
Scenario 1: 4 4 T N N , with T= 4 , N= not 4
Probability of this scenario = 1*1*(1/6)*(5/6)*(5*6)*3!/2!=75/216 .... (3!/2! to show the arrangement of TNN in 3 slots)
Scenario 2: 4 4 N N N , with N = any particular number but 4 and in this case for a 'win' all 'N's are the same number.
Probability of this scenario = 1*1*(5/6)*(1/6)*(1/6) = 5/216 ...(with 1/6 shows the probability of choosing that same number out of 6 possible)
Thus the final probability = 75/216 + 5/216 = 80/216
C is the correct answer.
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 $4.40, in which year will commodity X cost 70 cents more than the commodity Y?
A.2010
B.2011
C.2012
D.2013
Answer: A.2010
Explanation: The cost of commodity X increases by 10 cents per year relative to commodity Y.
The price of X must gain 20 + 70 = 90 cents on commodity Y, which will take 9 years.
The answer is A.
Question: In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 30,870,000, how many red beads were removed?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: 30,870,000
= 2^4 * 5^4 * 3087
= 2^4 * 3 * 5^4 * 1029
= 2^4 * 3^2 * 5^4 * 343
= 2^4 * 3^2 * 5^4 * 7^3
The answer is C.
Question: In the xy-coordinate system, what is the slope of the line that goes through the origin and is equidistant from the two points P = (4, 6) and Q = (6, 2)?
A.0.8
B.1.0
C.1.2
D.1.4
Answer: A.0.8
Explanation: First, get the middle coordinate between (4,6) and (6,2).
x = 4 + (6-4)/2 = 5
y = 2 + (6-2)/2 = 4
Second, get the slope of (5,4) and (0,0). m = 4-0 / 5-0 = 4/5 = 0.8
Answer: A
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
A.2.8%
B.3.6%
C.4.4%
D.5.2%
Answer: C.4.4%
Explanation: Let amount spent by Jill = 100
Clothing=50, Food=20, others=30
Tax on clothing= 2
Tax on others=2.4
Percentage= 4.4/100 4.4%
Answer: C
Question: Two pipes can fill a tank in 12 minutes and 20 minutes respectively. Both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 10 minutes. For how many minutes was first pipe open?
A.8 minutes
B.6 minutes
C.7 minutes
D.10 minutes
Answer: B.6 minutes
Explanation: Second pipe is opened for 10 minutes. So , part of tank filled by the second pipe = 10/20=1/2.
So, 1 -1/2 = 1/2 tank is filled by first pipe.
First pipe can fill 1/2 of tank in 1 * 12/2 = 6minutes.
So, the first pipe is opened for 6minutes.
ANSWER:B
Question: If Rani earns a raise of between 5% and 11%, non-inclusive, by what fraction could her salary have increased?
A.1/4
B.1/5
C.1/70
D.1/10
Answer: D.1/10
Explanation: Perhaps it is also easy to just translate the % into fractions:
6%: 6/100 = 3/50
7%: 7/100
8%: 8/100 = 4/50 =2/25
9%: 9/100
10%:10/100=1/10
Only 1/10 exists in the answer choices, so ANS D
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
A.488
B.776
C.481
D.480
Answer: D.480
Explanation: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.Answer:D
Question: There are 36 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
A.4
B.7
C.17
D.21
Answer: C.17
Explanation: let's find the range of Both and hence the range of x. Minimum value of Both: Say there is no overlap in the two sets. 36 = x + 2xx = 12In this case Both = 0 Maximum value of Both: Say there is maximum overlap between the two sets. One set has x so it could be a subset of the set 2x.36 = 2xx = 18 So Both lies between 0 and 18 Only option (C) satisfies this condition. ANSWER:C
Question: Spanish Language Broadcast records last 90 min on each of two sides. If it takes 3 hours to translate one hour of broadcast, how long will it take to translate 16 full records?
A.144 hours
B.124 hours
C.134 hours
D.154 hours
Answer: A.144 hours
Explanation: Records last 90 min on each of 2 sides,
==> record last 90*2 = 180 min = 3 hours
16 full records--> 16*3 = 48 hour broadcast
Given, 3 hours to translate 1 hour of broadcast
Let x be the time required to translate 48 hour broadcast(16 full records)
x = 48*3
=144 hours
ANSWER:A
Question: In a race where 12 cars are running, the chance that car X will win is 1/6, that Y will win is 1/10 and that Z will win is 1/8. Assuming that a dead heat is impossible, find the chance that one of them will win.
A.1/140
B.1/180
C.27/410
D.47/120
Answer: D.47/120
Explanation: Required probability = P(X) + P(Y) + P(Z) (all the events are mutually exclusive).
= 1/6 + 1/10 + 1/8
= 47/120
ANSWER:D
Question: I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?".
I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess".
She then asked me "can you tell me the sum of first 71 odd numbers ?".
I wait for approx 10 seconds and replied with the correct answer.
How can i answer so quickly and whats the correct answer ?
A.8715
B.0152
C.3581
D.5041
Answer: D.5041
Explanation: D
5041
n^1
71 * 71 = 5625 (sum of first 71 odd numbers).
50 * 50 = 2500 (sum of first 50 odd numbers).
Question: A can do a piece of work in 10 days, while B alone can do it in 15 days. They work together for 5 days and the rest of the work is done by C in 2 days. If they get 450 for the whole work, how should they divide the money ?
A.225, 150, 75
B.250, 100, 100
C.200, 150, 100
D.175, 175, 100
Answer: A.225, 150, 75
Explanation: Work done by A and B in 5 days = (1⁄10 + 1⁄15) × 5 = 5⁄6
Work remaining = 1 - 5⁄6 = 1⁄6
∴ C alone can do the work in 6 × 2 = 12 days
Ratio of their share work = 5⁄10 : 5⁄15 : 2⁄12 = 3 : 2 : 1
Share of wages = 225, 150, 75
Answer A
Question: The average of 8 numbers is 25, that of the first 2 is 20 and of the next three is 26. The sixth number is less than the seventh by 4, and less than the eighth by 6. The last number is
A.30
B.32
C.40
D.36
Answer: A.30
Explanation: Explanation :
Sum of all the numbers = 25*8 = 200
Sum of first two numbers = 40
Sum of next three numbers(i.e., 3rd, 4th and 5th) = 78
So, sum of first five numbers = 118 and sum of 6th, 7th and 8th number = 82
Assuming sixth number to be x, we get 7th number = x+4 and 8th number = x+6.
So, x + (x+4) + (x+6) = 82
=> x = 24.
Hence, last number(8th number) = 30.
Answer : A
Question: In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
A.54888
B.2777
C.5400
D.1278
Answer: C.5400
Explanation: 100x + 400 = 12(x – 5)
x = 50
100 * 50 + 400 = 5400
Answer: C
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
A.2266
B.2987
C.2678
D.6725
Answer: D.6725
Explanation: CP = SP * (100/(100 + profit%))
= 8339(100/124) = Rs. 6725.
Answer: D
Question: By using the numbers 1, 3, 4, 6 and 9 only once, how many five digit numbers can be made that are divisible by 8?
A.3
B.12
C.6
D.18
Answer: C.6
Explanation: A number to be divisible by 8 must end with 08, 16, 24,32 ,40 or 72.
So, there are the following cases possible:
349-16 --> the first three digits can be arranged in 3=6 ways.
Total = 6 = 6.
Answer: C.
Question: In certain year in Country C, x sets of twins and y sets of triplets were born. If there were z total babies born in Country C in this year, and x and y were both greater than 0, which of the following represents the fraction Q of all babies born who were NOT part of a set of twins or triplets?
A.z - 2x - 3y
B.(2x+3y)/z
C.(x+y)/z
D.1 - (2x+3y)/z
Answer: D.1 - (2x+3y)/z
Explanation: X set of twins implies 2x babies of twin category.
Y set of triplets means 3y babies of triplet category.
Let K be the babies other than twin or triplet category.
Total babies = z = 2x+3y+k.
or K=Z-(2x+3y)
=> Fraction of babies other than twin or triplet categories = K/Z = Z-(2x+3y)/Z.
Q= 1- (2x+3y)/Z. Hence answer is D.
Question: Diane find 1 can of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size?
A.5
B.7 and a half
C.10
D.12 and a half
Answer: A.5
Explanation: She will need 2 cans to paint the rest of this room and 3 for the next room for a total of 5 cans.
A
Question: The sum of two numbers is 216 and their H.C.F. is 27. The number are:
A.27, 189
B.81,189,
C.108, 108
D.154, 162
Answer: A.27, 189
Explanation: Let the required numbers be 27a and 27b.Then, 27a+27b=216
a+b=8
Now, co-primes with sum 8 are(1, 7)and(3,5).
required numbers are (27*1*, 27*7) and (27*3,27*5)
i.e., (27, 189)and (81,135)
out of these, the given one in the answer is the pair(27,189).
correct Option:A
Question: A committee has 6 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
A.127
B.300
C.882
D.272
Answer: B.300
Explanation: The number of ways to select two men and three women
= 6C₂ * ⁶C₃
= (6*5)/(2 * 1) * (6 * 5 * 4)/(3 * 2)
= 300
Answer: B
Question: The sum E of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by En = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted.
A.4345
B.4302
C.4258
D.4214
Answer: D.4214
Explanation: a method to do it under one minutes is to take advantage of the choices given...
lets work on the last digit as we have different units digit in each choice...
total sum of 1 to 100 inclusive will have 0 as the last digit..
this is so because the resultant will be 10*(sum of all single digits)... and since we are multiplying by 10,units digit will be 0...
now for single digit in sum E of even number from 25 to 63..
25 to 65 will have 4 times sum of single digit even int, 4*(2+4+6+8+0)=4*20..
here too the units digit is 0, but 64 has to be excluded from the total..
two ways from here on..
1) we are subtracting 0 from 0
so units digit should be 0, but we have to add 64..
so last/units digit =4..
2)we subtract 64 from sum of even int..
so units digit=80-4=76..
or units digit =6...
so our answer should have units digit as 10-6=4..
only D has 4 as units digit..
ans D
Question: In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and Bob are not seated next to each other?
A.24
B.48
C.56
D.72
Answer: D.72
Explanation: These 5 people can be arranged in 5! ways. These are the total number of ways you get.
Now, when we tie 2 people together, we have only 4 entities to arrange. We can do this in 4! ways. But in each of these entities, the two people can sit in two different ways (AB and BA). So number of ways in which these two people sit together is 4!*2!.
Now, the ways in which these two people will not be together will be 5!- 4!*2! = 4!(5 - 2) = 72
ANSWER:D
Question: The original price of a car was $25,200. Because the car owner thought he could get more money for the car, he increased the price of the car to 110% of its original price. After a week, the car had not sold, so the owner then discount ed the price by 10%, and the car was finally sold. What price was the car sold for?
A.$25,200
B.$25,000
C.$24,948
D.$24,542
Answer: C.$24,948
Explanation: The car is sold for 1.1*0.9*25200
=0.99 * 25200
=(1 - 0.01) * 25200
=25200 - 252
=24948
C is the answer
Question: Each student at a certain university is given a four-character identification code, the rest two characters of which are digits between 0 and 9, inclusive, and the last two characters of which are selected from the 26 letters of the alphabet. If characters may be repeated and the same characters used in a different order constitute a different code, how many different identification codes can be generated following these rules?
A.135,200
B.67,600
C.64,000
D.60,840
Answer: B.67,600
Explanation: First two parts for the code, are digits between 0-9, therefore, 10 options for the first part of the code,
and as characters may be repeated, 10 options for the second part as well
Therefore, we have 10 X 10 possibilities for the first and second part of the code
Last two parts of the code, are characters selected from the 26 letters of the alphabet, therefore, 26 options for the third part of the code,
and as characters may be repeated, 26 options for the fourth part as well
Therefore, we have 26 X 26 possibilities for the third and fourth part of the code
so, in all total no. of different identification codes generated following these rules
= 10 X 10 X 26 X 26 = 67600
Answer B
Question: Pipe A can fill a tank in 2 hr, pipe B in 4hr and pipe C in 8hr. If all the pipes are open in how many hours will tank be filled?
A.1hr 27min
B.2hr 19min
C.3hr 14min
D.3hr
Answer: A.1hr 27min
Explanation: Part filled by (A+B+C) in 1hour = 1/2 + 1/4 + 1/8 = 7/8
All the 3 pipes together will fill the tank in 1hour 27min
Answer is A
Question: If six numbers are randomly selected without replacement from set {1, 2, 3, 4, 5, 6}, what is the probability that the numbers are selected in ascending order?
A.1/280
B.1/640
C.1/720
D.1/240
Answer: C.1/720
Explanation: The total number of ways to arrange 6 numbers is 6! = 720.
There is only one way to arrange the numbers in ascending order.
P(ascending order) = 1/720
The answer is C.
Question: A man took loan from a bank at the rate of 12% p.a. S.I. After 20 years he had to pay Rs. 2100 interest only for the period. The principal amount borrowed by him was?
A.600
B.715
C.600
D.875
Answer: D.875
Explanation: Principal = (100 * 2100) / (12 * 20)
= Rs.875
Answer: D
Question: In a camp,there is a meal for 120 men or 200 children.If 150 children have taken the meal,how many men will be catered to with the remaining meal ?
A.20
B.30
C.40
D.50
Answer: B.30
Explanation: Solution
There is a metal for 200 children. 150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children = 120 men
50 children =( 120/200x50)men= 30 men. Answer B
Question: The ratio of men to women in a class is 6 to 5. If 3 men drop out of the class and the ratio of men to women after the drop out is 1 to 1, then how many men are currently in the class?
A.13
B.14
C.15
D.18
Answer: C.15
Explanation: Equation on the basis of question
6x-3/5x=1/1
x=3
Original number of men = 6*3=18
Original Number of Women = 5*3=15
Current number of men = 18-3=15 (Answer)
Current number of women = 15
Ratio = 15/15= 1/1 ( Just to verify)
Ans C
Question: 40% of a number is added to 120, the result is the same number. Find the number?
A.300
B.277
C.266
D.200
Answer: D.200
Explanation: :
(40/100) * X + 120 = X
2X = 400
X = 200
Answer: D
Question: Two cars are driving toward each other. The first car is traveling at a speed of 60 km/h, which is 25% slower than the second car's speed. If the distance between the cars is 770 km, how many hours will it take until the two cars meet?
A.4
B.4.5
C.5
D.5.5
Answer: D.5.5
Explanation: The speed of the first car is 60 km/h.
The speed of the second car is 60 / 0.75 = 80 km/h.
The two cars complete a total of 140 km each hour.
The time it takes the cars to meet is 770 / 140 = 5.5 hours.
The answer is D.