RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 8 months. At this time, the construction was behind schedule by how many projects?
A.34
B.96
C.198
D.164
Answer: D.164
Explanation: Project/month : 612/18 = 34
Project in 6 month to be completed = 34*8 =272
Lag :272-108 = 164
D is the answer
Question: In an election, candidate A got 65% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
A.355600
B.355800
C.356500
D.309400
Answer: D.309400
Explanation: Total number of invalid votes = 15 % of 560000
= 15/100 × 560000
= 8400000/100
= 84000
Total number of valid votes 560000 – 84000 = 476000
Percentage of votes polled in favour of candidate A = 65 %
Therefore, the number of valid votes polled in favour of candidate A = 65 % of 476000
= 65/100 × 476000
= 30940000/100
= 309400
D)
Question: If xy = 2 and x^2 + y^2 = 12, then x/y + y/x =
A.6
B.3 1/7
C.5 1/3
D.7
Answer: A.6
Explanation: We can make simplifying of question and get it in view: (x^2 + y^2) / xy and as we know the meaning of this parts:
x^2 + y^2 = 12
xy = 2
we can calculate the answer 12/2 -> 6 so answer is A
Question: If $25,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
A. compounding daily
B. compounding quarterly
C. compounding monthly
D. compounding annually
Answer: A. compounding daily
Explanation: This will produce the maximum yield as the interest accured each day will be added the very next day to the Principal amount for further computation of interest.
This process will be repeated every day till the amount matures
Compounding annually will give least returns
Answer = A
Question: Each of the integers from 3 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: Answer is 4. In the worst case, you could end up drawing 3,4,5. 7th draw will result in either of 6,7,8,9 which would result in the numbers adding to 10.
B
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
A.266
B.288
C.245
D.211
Answer: C.245
Explanation: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m.Answer: C
Question: One fourth of one third of two fifth of a number is 10. What will be40% of that number
A.A)140
B.B)150
C.C)120
D.D)200
Answer: C.C)120
Explanation: Explanation:
(1/4) * (1/3) * (2/5) * x = 10
then x = 10 * 30 = 300
40% of 300 = 120
Answer: Option C
Question: The value of (2.502+0.064)^2 - (2.502-0.064)^2/2.502*0.064
A..25
B..235
C.4
D.3
Answer: C.4
Explanation: (2.502+0.064)2 - (2.502-0.064)2/2.502*0.064 = (a+b)2 - (a-b)/ab
= 4ab/ab
= 4
ANSWER:C
Question: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A.588 apples
B.600 apples
C.672 apples
D.700 apples
Answer: D.700 apples
Explanation: Explanation:
Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
60	x x = 420
100
x =(420*100 /60)=700.
ANSWER IS D
Question: What percentage of numbers from 1 to 95 have squares that end in the digit 0?
A.1
B.14
C.9.47
D.21
Answer: C.9.47
Explanation: Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 95 are 10,20,30,40,50,60,70,80,90.
Number of such numbers = 14.
Required percentage = (9/95 * 100) = 9.47%
ANSWER:C
Question: What is the angle between the 2 hands of the clock at 8:24 pm?
A.100°
B.107°
C.106°
D.108°
Answer: D.108°
Explanation: Required angle = 240 – 24 × (11/2)
= 240 – 132 = 108°
Answer D
Question: A man can do a piece of work in 9 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
A.7 1/2 days
B.6 1/2 days
C.5 1/2 days
D.4 1/2 days
Answer: D.4 1/2 days
Explanation: Explanation:
In this type of question, where we have one person work and together work done. Then we can easily
get the other person work just by subtracting them. As
Son's one day work =
(1/3−1/9)=(6−2)/18=2/9
So son will do whole work in 9/2 = 4 1/2 days
Answer: D
Question: The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
A.1
B.20
C.0
D.19
Answer: D.19
Explanation: Explanation:
Average of 20 numbers = 0
=> Sum of 20 numbers/20= =0
=> Sum of 20 numbers = 0
Hence at the most, there can be 19 positive numbers.
(Such that if the sum of these 19 positive numbers is x, 20th number will be- x)
Answer: Option D
Question: A meal cost $ 48.75 adn there was no tax. If the tip was more than 5 pc but less than 20pc of the price, then the total amount paid should be:
A.60-65
B.55-58
C.51-59
D.39-41
Answer: C.51-59
Explanation: 5%(48.75) = 2.4375
20%(48.75) = 9.75
total amount could have been 48.75+2.4375 and 48.75+9.75
=> could have been between 51.1875 and 58.5
=> approximately between 51 and 59
Answer is C.
Question: Solve below question 2x + 1 = -17
A.-8
B.-9
C.-5
D.-4
Answer: B.-9
Explanation: 1. Subtract 1 from both sides:
2x + 1 - 1 = -17 - 1
2. Simplify both sides:
2x = -18
3. Divide both sides by 2:
4. Simplify both sides:
x = -9
B
Question: The units digit of (35)^(87) + (93)^(46) is:
A.2
B.4
C.6
D.8
Answer: B.4
Explanation: Step 1: (35)^(87) can be broken up into (5)^87 x (7)^87. Each power of 7 ends in a units digit of either a 7,9,3 or 1. Each power of 5 ends in a 5. When you multiply 5 by any odd number you will end up with a units digit of 5.
Step 2: (93)^(46) can be broken up into (3)^46 x (31)^46. Each power of 31 ends in a units digit of 1. Each power of 3 ends in a units digit of either 3,9,7 and 1. Since there is a pattern here where every 4th power of 3 ends in a units digit of 3, the 46th power of 3 would end in a units digit of 9. When you multiply 1 by 9 you end up with a units digit of 9.
Therefore, the units digit we are looking for is 5 + 9 = 14. Units digit will be 4. Answer B.
Question: 80% of the population of a village is 32000. The total population of the village is?
A.40000
B.24000
C.26682
D.29973
Answer: A.40000
Explanation: X * (80/100) = 32000
X = 400 * 100
X = 40000
Answer: A
Question: What is the % change in the area of a rectangle when its length increases by 20% and its width decreases by 20%?
A.0%
B.20% increase
C.20% decrease
D.4% decrease
Answer: D.4% decrease
Explanation: (12/10)*(8/10) = 96/100 of original area
96/100 is a 4% decrease from 100/100 ->D
Question: In a class of 45 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German?
A.30
B.10
C.18
D.23
Answer: D.23
Explanation: Total=English+German-Both+Neither --> 45=English+22-12+0 --> English=35 --> Only English=English-Both=35-12=23.
Answer: D.
Question: A 160 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
A.48 kmph
B.54 kmph
C.92 kmph
D.86 kmph
Answer: A.48 kmph
Explanation: S = 160/12 * 18/5 = 48 kmph
ANSWER:A
Question: Two persons start running simultaneously around a circular track of length 700 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A.63
B.10
C.28
D.27
Answer: A.63
Explanation: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 700 / (15 + 25)5/18 = 700* 18 / 40 * 5 = 63 seconds.
Answer: A
Question: If a 10 percent deposit that has been paid toward the purchase of a certain product is $105, how much more remains to be paid?
A.$945
B.$965
C.$1025
D.$1050
Answer: A.$945
Explanation: 90% remains to be paid so the remaining amount is 9*105=$945.
The answer is A.
Question: TATA company plans to assign identification numbers to its employees. Each number is to consist of four different digits from 0 to 9, inclusive, except that the first digit cannot be 0. How many different identification numbers are possible?
A. 3,024
B. 4,536
C. 5,040
D. 9,000
Answer: B. 4,536
Explanation: TATA company plans to assign identification numbers to its employeeS.The first digit can take 9 values from 1 to 9 inclusive;
The second digit can also take 9 values (9 digits minus the one we used for the first digit plus 0);
The third digit can take 8 values;
The fourth digit can take 7 values.
Total = 9*9*8*7 = something with the units digit if 6.
Answer: B.
Question: A first grade teacher uses eight cards, each numbered from 1 to 8, to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards '2' and '4' from the deck. On that day, how many different correct arrangements of four randomly selected cards are possible?
A.70
B.15
C.60
D.45
Answer: B.15
Explanation: problem of combination 6C4 = 6!/4!*(6-4)! = 6*5*4!/4!*2! =15
B
Question: How much is 60% of 40 is greater than 4/5 of 25?
A.4
B.6
C.10
D.8
Answer: A.4
Explanation: 60/100) * 40 â€“ (4/5) * 25
24 - 20 = 4
Answer: A
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
A.10 days
B.5 days
C.6 days
D.24 days
Answer: D.24 days
Explanation: Explanation:
B = 1/8 – 1/2 = 1/24 => 24 days
Answer D
Question: Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
A.4800
B.6400
C.2280
D.3400
Answer: B.6400
Explanation: B
6400
Let the sum invested in Scheme A be x and that in Scheme B be (13900 - x).
Then, (x x 14 x 2)/100 + ((13900 - x) x 11 x 2)/100 = 3508
28x - 22x = 350800 - (13900 x 22)
6x = 45000
x = 7500.
So, sum invested in Scheme B = (13900 - 7500) = 6400.
Question: If P is a prime number greater than 7, what is the remainder when P^2 is divided by 8.
A.4
B.3
C.1
D.2
Answer: C.1
Explanation: take square of any prime number
remainder will be 1
Ans C
Question: For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.35 – 6.35*?
A.0.35
B.0.5
C.6.25
D.0.25
Answer: A.0.35
Explanation: Since Z* is defined as the greatest positive even integer less than or equal to Z, then 6.35* =6 (the greatest positive even integer less than or equal to 6.35 is 6).
Hence, 6.35 – 6.35* = 6.35 - 6 = 0.35
Answer: A.
Question: Margaret is 9 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
A.21yrs
B.20yrs
C.30yrs
D.40yrs
Answer: A.21yrs
Explanation: Let, age of son x=12
Margaret is 9 years more than twice the age of his son, y = 9+2(x)
=9+2(12)
=9+24
=33yrs
Difference = 33 - 12
=21yrs
ANSWER:A
Question: The total marks obtained by a student in Mathematics and Physics is 70 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
A.40
B.45
C.27
D.28
Answer: B.45
Explanation: Let the marks obtained by the student in Mathematics, Physics and Chemistry be M, P and C respectively.
Given , M + C = 70 and C - P = 20 M + C / 2 = [(M + P) + (C - P)] / 2 = (70 + 20) / 2 = 45.Answer:B
Question: There are 4 people who has to cross a stretch of 300 km. They normally run at a speed of 10 kmph. One of them has a bike that travels at 50 kmph. The bike first takes one person alone and crosses the stretch while the other two keep running. Then he comes back without wasting time and picks up from the way, drives him across the stretch, and does the same for the last person. How long does this whole process take?
A.24 hrs
B.16 hrs
C.56/3 hrs
D.58/3 hrs
Answer: D.58/3 hrs
Explanation: Time taken to carry 2nd person = 300/50 = 6 hrs.
Time taken to meet 3rd person =(300-6*10)/(50+10) = 4 hrs
Time taken to carry 3rd person = 4 hours
Time taken to meet 4th person = (300 –140)/60 = 8/3
Total time = 6+4+4+8/3+8/3 = 58/3 hours
ANSWER:D
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 3 minutes A is turned off. After how much more time will the cistern be filled?
A.8 1/7
B.8 1/1
C.8 1/4
D.8 1/2
Answer: C.8 1/4
Explanation: 3/12 + (3 + x)/15 = 1
x = 8 1/4
Answer: C
Question: If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
A.3 days
B.4 days
C.6 days
D.7 days
Answer: A.3 days
Explanation: That is, 1 person can do one time of the work in 3 days.
Therefore, 7 persons can do 7 times work in the same 3 days itself
A)
Question: The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations W of soloists can appear in the liner notes?
A.5!
B.10!/(5!5!)
C.10!/5!
D.10!
Answer: B.10!/(5!5!)
Explanation: Total Soloists to choose from = 10
Soloist Required = 5
Question : How many different combinations W of soloists can appear in the liner notes?
The language of the question clearly mentions that only the combinations need to be calculated
i.e. Arrangement of the Soloists does NOT matter(Refer theHighlightedpart of the question)
Method-1:
Total Ways to Choose 5 out of 10 soloists = 10C5 = 10! / (5!*5!)
Method-2:
No. of ways to select and arrange 5 soloist on 5 Page = 10*9*8*7*6
Since the arrangement of 5 selected Notes (which can happen in 5! ways) doesn't NOT matter,
Therefore total ways to pick 5 out of 10 soloists = 10*9*8*7*6 / 5! = 10*9*8*7*6 *5! / (5!*5!) = 10! / (5!*5!)
Answer: Option B
Question: A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 45% are drinking beer, 30% are drinking mixed drinks, and 25% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
A.2/5
B.4/7
C.11/18
D.17/24
Answer: C.11/18
Explanation: Suppose there are 100 students
Group A : 40% = 40 students
45% drink beer = 18
30% mixed = 12
25% both = 10
Group B 60% = 60
30% beer= 18
30% mixed = 18
20% both= 12
now we need both ( beer + mixed = both)
probability = total beer drinker = 18+18 =36 and both = 20
thus 22/36 = 11/18
Hence C
Question: Two employees X and Y are paid a total of Rs. 770 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A.s.150
B.s.200
C.s.250
D.s.350
Answer: D.s.350
Explanation: Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 770
But x = 120% of y = 120y/100 = 12y/10
âˆ´12y/10 + y = 770
â‡’ y[12/10 + 1] = 770
â‡’ 22y/10 = 770
â‡’ 22y = 7700
â‡’ y = 700/22 = 700/2 = Rs.350
D)
Question: How many arrangements of the letters of the word ORANGES can be made, without changing the place of the vowels in the word?
A.22
B.29
C.24
D.28
Answer: C.24
Explanation: O,A,E fixed. Consonants can be arrangements in 4P4 = 4! = 24 ways
Option 'C'
Question: A single discount % equal to three successive discounts of 30%, 20% and 10%.
A.49.8
B.49.5
C.49.3
D.49.6
Answer: D.49.6
Explanation: Explanation:
Let the initial price be 100.
30% discount on 100 is 30
(100 – 30) = 70
20% discount on the 70 is 14
(70 – 14) = 56
10%discount on the 56 is 5.6
So the answer is 30 + 14 + 5.6 = 49.6
Answer: D
Question: 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?
A.30 days
B.40 days
C.50 days
D.60 days
Answer: B.40 days
Explanation: Explanation:
Let 1 man's 1 day work = x
and 1 woman's 1 days work = y.
Then, 4x + 6y = 1/8
and 3x+7y = 1/10
solving, we get y = 1/400 [means work done by a woman in 1 day]
10 women 1 day work = 10/400 = 1/40
10 women will finish the work in 40 days
Option B
Question: A cube is divided into 64 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
A.12
B.16
C.20
D.24
Answer: D.24
Explanation: Each side of the cube has 4 x 4 = 16 cubelets.
Only the interior cubelets are painted one colour.
On each side, 2 x 2 = 4 cubelets are painted one colour.
Since the cube has six sides, the number of cubes with one colour is 6*4 = 24
The answer is D.
Question: In a college the ratio of the numbers of boys to the girls is 5:7. If there are 140 girls, the total number of students in the college is?
A.200
B.240
C.160
D.250
Answer: B.240
Explanation: Let the number of boys and girls be 5x and 7x
Then , 7x = 140
x= 20
Total number of students = 12x = 12*20 = 240
Answer is B
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 200 meters, how long will it take to cross a railway platform 240 meters long
A.6 ½ sec
B.7 ½ sec
C.12 sec
D.8 ½ sec
Answer: C.12 sec
Explanation: Explanation:
Speed of train = 132 ×(5/18) m/sec = 110/3 m/sec.
Distance covered in passing the platform = (200 + 240) m = 440 m.
Time taken =440×(3/110) sec =12 sec
Answer: Option C
Question: It takes 2 workers a total of 12 hours to build a giant machine with each worker working at the same rate. If 3 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 2:00 PM, at what time will the machine be complete?
A.4:30
B.4:45
C.5:00
D.5:15
Answer: C.5:00
Explanation: 2 workers build 1/12 of a machine in one hour.
1 worker builds 1/24 of a machine in one hour.
In the first 3 hours, 3 workers build 3*(1/24)*3=9/24 of a machine
From 2:00 to 3:00, 4 workers build another 4/24. The total is 13/24.
From 3:00 to 4:00, 5 workers build another 5/24. The total is 18/24.
From 4:00 to 5:00, 6 workers build another 6/24. The total is 24/24.
The machine is complete at 5:00.
The answer is C.
Question: Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
A.420
B.776
C.288
D.268
Answer: B.776
Explanation: Let the length of the stationary train Y be LY
Given that length of train X, LX = 300 m
Let the speed of Train X be V.
Since the train X crosses train Y and a pole in 60 seconds and 25 seconds respectively.
=> 300/V = 25 ---> ( 1 )
(300 + LY) / V = 60 ---> ( 2 )
From (1) V = 300/25 = 12 m/sec.
From (2) (300 + LY)/12 = 60
=> 300 + LY = 60 (12) = 720
=> LY = 720 - 300 = 420 m
Length of the stationary train = 420 m
Answer:B
Question: The distance between West-Town to East-Town is 10 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
A.3.
B.8.
C.10.
D.12.
Answer: B.8.
Explanation: Time taken by the birds to meet = 10/(4 + 1) = 2 mins
Distance traveled by the bird traveling from West-Town = 4 * 2 = 8
Answer: B
Question: A vessel of capacity 2 litre has 16% of alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
A.31%.
B.71%.
C.49%.
D.27.2%.
Answer: D.27.2%.
Explanation: 16% of 2 litres = 0.32 litres
40% of 6 litres = 2.4 litres
Therefore, total quantity of alcohol is 2.72 litres.
This mixture is in a 10 litre vessel. Hence, the concentration of alcohol in this 10 litre vessel is 27.2%
ANSWER:D
Question: 5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
A.1:2
B.1:3
C.2:1
D.2:3
Answer: C.2:1
Explanation: Explanation:
Let 1 man 1 day work = x
1 boy 1 day work = y
then 5x + 2y = 4(x+y)
=> x = 2y
=> x/y = 2/1
=> x:y = 2:1
Option C
Question: A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
A.3:5
B.3:4
C.3:1
D.3:2
Answer: B.3:4
Explanation: They should share the profits in the ratio of their investments.
The ratio of the investments made by A and B =
6000 : 8000 => 3:4
Answer:B
Question: In a certain match all the teams were to play with each other. If there are 7 teams, how many matches will have to be played?
A.40
B.21
C.24
D.25
Answer: B.21
Explanation: 7c2
=21
ANSWER:B
Question: How many possible integer values are there for x if |5x - 3| < 6 ?
A.One
B.Two
C.Three
D.Four
Answer: B.Two
Explanation: Solution: |5x-3| < 6
let 5x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the right and -6 to the left
(the less than sign represents that the a must be within boundaries )
(3-6)----------3----------(3+6)
now, we have -3<a<9
but a =5x ==> -3<5x<9
dividing all values by +4 we have -0.6<x < 1.8
Now question says Integer values (not rational ) therefore we have 0,1
Hence 2 B
Question: The number 523dbc is divisible by 7,8,9. Then what is the value of d*b*c
A.504
B.532
C.210
D.180
Answer: D.180
Explanation: LCM of 7, 8 and 9 is 504, thus 523dbc must be divisible by 504.
523dbc=523000+dbc
523000 divided by 504 gives a remainder of 352.
Hence, 352+dbc=k*504.
k=1 dbc=152 --> d*b*c=10
k=2 dbc=656 --> d*b*c=180
As dbc is three digit number k can not be more than 2.
Two answers? Well only one is listed in answer choices, so D.
Answer: D.
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
A.2655
B.3527
C.2500
D.2567
Answer: C.2500
Explanation: A:B:C = 2/3:1/6:1/6
= 4:1:1
x * 2/100 * 2/3
= 200
B capital = 15000*1/6
= 2500
Answer: C
Question: A company D has 15 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have?
A.200
B.125
C.180
D.152
Answer: B.125
Explanation: Let the total number of employees in the company be x
% of secretaries = 15%
% of salespeople = 45%
% of of employees other than secretaries and salespeople = 100 - 60 = 40%
But this number is given as 50
so 40% of x = 50
x = 125
Therefore there a total of 125 employees in the company D
Correct answer - B
Question: If m is a positive integer and m^2 is divisible by 33, then the largest positive integer that must divide m is?
A. 3
B. 6
C. 8
D. 11
Answer: D. 11
Explanation: M^2 is divisible by 33 so M^2 must be multiple of 48.
If the value of M is Multiples of 11 then it will satisfy the condition. If we If M is 12 or 24 or 36 then it ans is D but if M = 33 then answer should be 16.
Is the question right? Or am i missing some thing?
D