RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 38. Find the profit percentage?
A.80%
B.90%
C.59%
D.40%
Answer: B.90%
Explanation: L.C.M of 15 and 12
= 60
CP of 60 articles
= Rs. 100 (25 * 4)
SP of 60 articles
= Rs. 190 (30 * 5)
Profit percentage
= (190 - 100)/100 * 100 = 90%
Answer: B
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
A.120 kmph
B.140 kmph
C.220 kmph
D.320 kmph
Answer: A.120 kmph
Explanation: Let speed of the car be x kmph.
Then, speed of the train = 150/100 X = (3/2) X kmph
THEREFORE 75/X -75/(3/2)X =125/10 x 60
=> 75/X -50/X =5/24
=> X =25 x 24/5 =120 kmph
ANSWER:A
Question: How many different positive integers are factors of 25?
A.1
B.5
C.4
D.6
Answer: A.1
Explanation: 5*5
Answer : A
Question: How much interest can a person get on Rs. 4500 at 20.1% p.a. simple interest for a period of seven years and six months?
A.6783.74
B.6783.75
C.6783.76
D.6783.77
Answer: B.6783.75
Explanation: I = (4500 * 7.5 * 20.1)/100
= (4500 * 15 * 20.1)/(100 * 2 )
= Rs. 6783.75
Answer: B
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 10kmph and the other is going towards south 40kmph. What time will they take to be 50km apart?
A.1hr
B.2hrs
C.3hrs
D.5hrs
Answer: A.1hr
Explanation: To be (10+40) km apart, they take 1 hour
To be 50 km apart, they take 1/50 *50 = 1 hrs
Answer is A
Question: Machine A and machine B are each used to manufacture 770 sprockets. It takes machine A 10 hours longer to produce 770 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
A.5
B.7
C.9
D.10
Answer: B.7
Explanation: Machine B: Takes x hours to produce 770 sprockets
Machine A: Takes (x+10) hours to produce 770 sprockets
Machine B: In 1 hour, B makes 770/x sprockets
Machine A: In 1 hour, A makes 770/(x+10) sprockets
Equating:
1.1(770/(x+10)) = 770/x
847/(x+10) = 770/x
847x = 770x+7700
77x = 7700
x = 100
A makes 770/(110) = 7 sprockets per hour
Answer : B
Question: At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:30 a.m., how long will the conference last if there are a total of 6 seminars that day?
A.hours and 15 minutes
B.hours and 20 minutes
C.hours and 25 minutes
D.hours and 30 minutes
Answer: A.hours and 15 minutes
Explanation: Well its like this S B S B S B S B S B S
the interval between 9 am to 11:40 am is 160 min having 3 seminars and 2 breaks .If 1 break is of 5 min than time for 3 seminars = 160 - 2*5=150
Time of 1 seminar =150 /3=50 min .
So calculating for 6 seminars and 5 breaks ,total time comes out to be 5 hrs and 15 min .
Answer is A.
Question: City A's population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?
A.135years
B.140years
C.110years
D.130years
Answer: D.130years
Explanation: city A population = 68000
city B population = 42000
68000 decreasing at a rate 0f 80p = 42000 increasing at a rate of 120p
68000-80p=42000+120p
200p=26000
p=130years
ANSWER:D
Question: If 0.003^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
A.9
B.10
C.11
D.12
Answer: D.12
Explanation: 0.003^5= (3*10^-3)^5 = 243*10^-15 = 0.243*10^-12 which would have 12 zeros to the right of the decimal point. The answer is D.
Question: how much time does Suresh take to cover a distance of 280 m, if he runs at a speed of 7 km/hr ?
A.2 min. 24 sec.
B.3 min. 10 sec.
C.1 min. 56 sec.
D.4 min. 32 sec.
Answer: A.2 min. 24 sec.
Explanation: Explanation :
Solution: s= 7 km/hr = (7*5/18) m/sec = 35/18 m/sec.
Required time = (280*18/35)sec = 144 sec.
= 1min. 24 sec.
Answer : A
Question: Six bells commence tolling together and toll at intervals
of 2,4,6,8,10,12 seconds respectively. In 30 minutes how many
times do they toll together?
A.14
B.15
C.16
D.17
Answer: C.16
Explanation: To find the time that the bells will toll together we have
to take L.C.M of 2,4,6,8,10,12 is 120.
So,the bells will toll together after every 120 seconds
i e, 2 minutes
In 30 minutes they will toll together [30/2 +1]=16 times
ANSWER C
Question: If 8 workers can build 8 cars in 8 days, then how many days would it take 6 workers to build 6 cars?
A.2
B.4
C.6
D.8
Answer: D.8
Explanation: 8 workers can build 1 car per day on average.
1 worker can build 1/8 of a car per day.
6 workers can build 6/8 car per day.
The time required to build 6 cars is 6 / (6/8) = 8 days
The answer is D.
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
A.76
B.76.5
C.85
D.80
Answer: C.85
Explanation: Explanation:
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
ANSWER:C
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
A.84 kmph
B.65 kmph
C.14 kmph
D.77 kmph
Answer: C.14 kmph
Explanation: The ratio of the times taken is 2:1.
The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
Speed of the stream = 42/3 = 14 kmph.
Answer: C
Question: A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
A.4.8 hr
B.2.4 hr
C.3.6 hr
D.1.8 hr
Answer: A.4.8 hr
Explanation: Explanation:
Part filled by one tap in 1 hour =1/4
Part emptied by second tap 1 hour =1/8
Net part filled by both these taps in 1 hour
=1/3-1/8=5/24
i.e, the cistern gets filled in 24/5 hours =4.8 hrs
Answer: Option A
Question: If |5x-25| = 100, then find the sum of the values of x?
A.1
B.-2
C.10
D.-3
Answer: C.10
Explanation: |5x-25| = 100
5x-25 = 100 or 5x-25 = -100
5x = 125 or 5x = -75
x = 25 or x = -15
sum = 25-15 = 10
Answer is C
Question: If f(x) = 3x^4 - 4x^3 - 2x^2 + 6x , then f(-1) =
A.-2
B.-1
C.0
D.1
Answer: B.-1
Explanation: f(-1) = 3(-1)^4 - 4(-1)^3 - 2(-1)^2 + 6(-1) = 3+4-2-6 = -1
The answer is B.
Question: Williams decides to attend a volley ball game with six friends. If the party of seven sits together in seven consecutive seats, and Williams must NOT sit in between two of his friends, how many ways can the seven friends be arranged?
A.720
B.1440
C.360
D.780
Answer: B.1440
Explanation: Williams have to sit at either of the ends.
If Williams sits on the left most corner, then other 6 friends can be arranged in 6! = 720
David can also sit on the other end, then another 6! ways we can arrange.
So total number of ways = 720+720 = 1440
Answer : B
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $10. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
A.$3000
B.$1,350
C.$1,725
D.$2,050
Answer: A.$3000
Explanation: Total Volume is 288000
Given LBH = 8*10*12.
the number of hats inside it = 288000/10 * 8 * 12 = 300.
price of each hat is 10 $ then total value is 300 * 10 = 3000.
IMO option A is correct answer..
Question: The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 13 is:
A.448
B.553
C.542
D.548
Answer: B.553
Explanation: Required number = (L.C.M. of 12, 15, 20, 54) + 13
= 540 + 13
= 553.
answer :B
Question: There are 6 persons in an office. A group consisting of 3 persons has to be formed. In how many ways can the group be formed?
A.15
B.20
C.14
D.12
Answer: B.20
Explanation: Number of ways in which the group can be formed = 6C3
= 4*5*6/3*2*1
= 20
Ans- B
Question: The average of 11 results is 44, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
A.125
B.126
C.127
D.128
Answer: A.125
Explanation: 1 to 11 = 11 * 44 = 484
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 – 484 = 125
ANSWER:A
Question: How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
A.2278
B.3779
C.5040
D.2778
Answer: C.5040
Explanation: Explanation:
The Word LOGARITHMS is contain 10 letters.
To find how many 4 letter word we can find from that = 10 × 9 × 8 × 7 = 5040.
Answer: C
Question: What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.
I.The number is multiple of 51.
II.The sum of the digits a and b is 6.
A.I alone sufficient while II alone not sufficient to answer
B.II alone sufficient while I alone not sufficient to answer
C.Either I or II alone sufficient to answer
D.Both I and II are not sufficient to answer
Answer: A.I alone sufficient while II alone not sufficient to answer
Explanation: Explanation:
From statement I:
A two digit number, greater than 9 and multiple of 51 should be 51 itself.
Because, 2 x 51 = 102 (3 digit number). Therefore, I alone sufficient to answer.
From statement II:
A two digit number, greater than 9 and sum of the digit is 6.
It can be 15, 24, 33, 42, 51. So we cannot determine the required answer from the statement II alone.
Thus, I alone give the answer while II alone not sufficient to answer.
Option A
Question: In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?
A.150
B.100
C.280
D.360
Answer: B.100
Explanation: Explanation:
Let the number of students be x. Then,
Number of students above 8 years of age = (100 - 20)% of x = 80% of x.
80% of x = 48 +2/3 of 48
80/100x=80
x=100
Answer: B
Question: The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$410 per month. The salary of the new supervisor is:
A.233
B.690
C.287
D.771
Answer: B.690
Explanation: Explanation:
Total salary of 8 workers and supervisor together = 9 Ã— 430 = 3870
Now total salary of 8 workers = 3870 âˆ’ 870 = 3000
Total salary of 9 workers including the new supervisor = 9 Ã— 410 = 3690
Salary of the new supervisor = 3690 âˆ’ 3000 = 690
Answer: B
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 7 of their friends to play with them. There are 36 marbles in the bag. If all 9 people are playing, how many marbles does each person get?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: Answer= B
36 / 9 = 4 (36 divided by 9 = 4)
Answer= B
Question: There are 10 chickens in a poultry firm and a pair of chicken is to be selected for a meal. At most, how many different pairs are possible?
A.100
B.90
C.50
D.45
Answer: D.45
Explanation: N=10C2=10!/(8!2!)=10*9/2=45
Correct Option: D
Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 200. The dividend from the stock is :
A.7.5 %
B.8 %
C.12.5 %
D.None of these
Answer: C.12.5 %
Explanation: Solution
By investing Rs. 1552,income = Rs. 200.
By investing Rs. 97, income = Rs. (200/1552x97)= Rs.12.5
âˆ´ Dividend =12.5%.
Answer C
Question: Rick deposited $700 to his bank account using $5 and $15 dollar bills only. If Rick came to the bank with 70 bills and left with 10 bills only, how many $15 dollar billsმ did he deposit?
A.40.
B.25.
C.50.
D.55.
Answer: A.40.
Explanation: 5x+15y=700 --1
x+y=60 ---2
multiply eq 2 with 5 and subtract from eq 1
5x+15y=700
5x+5y=300
10y= 400
y=40 and x = 20
therefore $15 bills = 40
Answer A
Question: The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 35% profit?
A.2080
B.2778
C.2299
D.2778
Answer: A.2080
Explanation: Let C.P. be Rs. x.
Then, (1920 - x)/x * 100 = (x - 1280)/x * 100
1920 - x = x - 1280
2x = 3200 => x = 1600
Required S.P. = 130 % of Rs. 1600 = 130/100 * 1600 = Rs. 2080.
Answer:A
Question: A computer manufacturer produces a certain electronic component at a cost of $100 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $10,000 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 1000 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
A.122
B.112
C.134
D.108
Answer: B.112
Explanation: $10000 is a fixed cost
Each component is $102 ($100 to produce, $2 to ship)
Manufacturer will be producing and selling 1000 components
so therefore the equation to find price would be
1000*p = 10000+(1000*100)+(1000*2)
p = (10000+100000+2000)/1000
p = 112
Answer: B
Question: A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
A.400
B.450
C.500
D.520
Answer: C.500
Explanation: Speed of train: 78km/hr=78*(5/18)=21.67m/sec
Distance=800m
Time=60sec
d=s*t
800+x=21.67*60
x=1300.2-800=500
ANSWER :C
Question: A worker is paid a regular rate of Rs.10 for completing a survey. The worker completes 100 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 30% higher than her regular rate. If she completed 60 surveys involving the use of her cellphone, how much did she get that week?
A.180
B.1180
C.280
D.580
Answer: B.1180
Explanation: Amount earned using her cell phone = 60 * 13 = 780
earned for remaining surveys = 40 * 10 = 400
Total earning = 1180
Answer : B
Question: 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
A.Rs.9800
B.Rs.3800
C.Rs.9800
D.Rs.6800
Answer: D.Rs.6800
Explanation: Cost of the camel = P
10 camels = 24 horses
16 horses = 4 oxen
6 oxen = 4 elephants
10 elephants = Rs.170000
P = Rs.[(24 * 4 * 4 * 170000)/(10 * 16 * 6 * 10)]
P = Rs.(65280000/9600) => P = Rs.6800
Answer:D
Question: If 4 boys can color 60 m long cloth in 3 days, then 6 boys can color 36 m long cloth in
A.day
B.days
C.days
D.days
Answer: A.day
Explanation: The length of cloth painted by one boy in one day = 60 / 4 × 3 =5 m
No. of days required to paint 36 m cloth by 6 boys = 36/ 5 × 6 = 6/5 day.
A)
Question: If k^3 is divisible by 180, what is the least possible value of integer k?
A.12
B.30
C.60
D.90
Answer: B.30
Explanation: 180 = 2^2*3^2*5
Therefore k must include at least 2 * 3 * 5 = 30.
The answer is B.
Question: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes?
A.10.26%
B.10.25%
C.10.85%
D.17.25%
Answer: B.10.25%
Explanation: Let the sum be Rs. 100. Then,
S.I. for first 6 months = (100 * 10 *1) / (100 * 2) = Rs. 5
S.I. for last 6 months = (105 * 10 * 1) / (100 * 2) = Rs. 5.25
So, amount at the end of 1 year = (100 + 5 + 5.25) = Rs. 110.25
Effective rate = (110.25 - 100) = 10.25%.
Answer:B
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.123
B.166
C.240
D.157
Answer: C.240
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, x + 300 / 36 = 15
x + 300 = 540
x = 240 m.
Answer: C
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 41 kg and that of B and C be 43 kg, then the weight of B is:
A.33 kg
B.31 kg
C.32 kg
D.36 kg
Answer: A.33 kg
Explanation: A
33 kg
Let A, B, C represent their respective weights.
Then, we have: A + B + C = (45 x 3) = 135 .... (i)
A + B = (41 x 2) = 82 .... (ii)
B + C = (43 x 2) = 86 ....(iii)
Adding (ii) and (iii), we get: A + 2B + C = 168 .... (iv)
Subtracting (i) from (iv), we get : B = 33.
B's weight = 33 kg.
A
Question: reema has 25 mangoes.srujana has 13 mangoes. Totally how many mangoes they have in all?
A.20
B.38
C.30
D.25
Answer: B.38
Explanation: 25+13=38. Answer is B
Question: A drama group that must consists of 7 members is to be formed from a pool of 10 candidates. How many different groups are possible?
A.112
B.120
C.40
D.56
Answer: B.120
Explanation: Note that the drama group must consist of 7 members, not at least 7 members. Hence, all you have to do is 10C7 = 120
Answer (B)
Question: If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is
A.1/25
B.1/29
C.1/26
D.1/24
Answer: A.1/25
Explanation: We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.
Thus, the probability of picking a perfect cube is
4/100 = 1/25.
Answer:A
Question: What is the sum of all the multiples of 3 between 30 and 80?
A.2103
B.2106
C.1053
D.1252
Answer: C.1053
Explanation: You first have to know all the multiples of 3 between 30 and 80. They are 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,and78. If you add all these numbers together, you get1053.
Final Answer:C
Question: How much is 80% of 40 is greater than 4/5 of 25?
A.15
B.57
C.16
D.12
Answer: D.12
Explanation: (80/100) * 40 – (4/5) * 25
32 - 20 = 12
Answer: D
Question: There are 18 teams in the hockey league, and each team faces all the other teams 10 times each. How many games are played in the season?
A.1370
B.1530
C.1790
D.1950
Answer: B.1530
Explanation: The number of ways to choose two teams is 18C2 = 18*17/2 = 153
The total number of games in the season is 10*153 = 1530.
The answer is B.
Question: A freight elevator can carry a maximum load of 1100 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?
A.59
B.85
C.190
D.215
Answer: A.59
Explanation: The average of existing 2 package is150 + 280/2 = 430/2 = 215
Remaining allowed weight = 1100 - 200 - 430 = 470.
allowed per package = 470 / 3 = 156
So difference in average of existing and allowable = 215 - 156 = 59
Hence A
Question: If A and B can do a piece of work in 7.5 days. If B works 1/2 of work and remaining work was completed by A, taking total time of 20 days to complete the work. If b is more efficient then B can do work in how many days?
A.9 days
B.10 days
C.11 days
D.12 days
Answer: B.10 days
Explanation: 1/A + 1/B = 2/15 or (A+B)/AB= 2/15 ----(i)
(1/2)/(1/A) + (1/2)/(1/B) = 20 or A/2 + B/2 = 20 or A+B= 40 ----(ii)
Substituting A+B= 40 from (ii) in (i), we get AB= 300
Now finding the factors of 300, whose sum is 40, we have 10 and 30
As B is more efficient than A, B can do the work in 10 days.
ANSWER:B
Question: There are three different hoses used to fill a pool: hose x, hose V, and hose z. Hose x can fill the pool in a days, hose V in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?
I. d<c
II. d>b
III. c/3<d<a/3
A.I
B.III
C.II
D.I&II
Answer: C.II
Explanation: Name T = full pool
X fills a pool in a days ==> 1 day X fills: T/a
V fills a pool in b days ==> 1 day Y fills: T/b
Z fills a pool in c days ==> 1 day Z fills: T/c
1 day (X+V+Z) together fill: T(1/a + 1/b + 1/c)
d days (X+V+Z) together fill: T
==> d = Tx1 / T(1/a+1/b+1/c) = abc/(ab+bc+ca)
==>d = abc/(ab+bc+ca)
d cannot be greater than c ; d is greater than b ; d is greater than c/3 but not less than a/3
C
Question: Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
A.Rs. 4800
B.Rs. 5000
C.Rs. 5400
D.Rs. 5600
Answer: B.Rs. 5000
Explanation: let investment is x... den remaining investment is (9800-x)
x*9/75= (9800-x)*10/80
x=4800
9800-x=5000
ANSWER:B
Question: If A speaks the truth 40% of the times, B speaks the truth 80% of the times. What is the probability that at least one will tell the truth
A.0.18
B.0.12
C.1.02
D.1.2
Answer: B.0.12
Explanation: probability of A speaks truth p(A)=4/10;false=6/10
probability of B speaks truth p(B)=8/10;false=2/10.For given qtn
Ans=1-(neither of them tell truth).Because A & B are independent events
=1-[(6/10)*(2/10)]=1-12/100=1-0.88=0.12
ANSWER:B
Question: Three coins are tossed. What is the probability of getting at most two tails?
A.7/9
B.7/7
C.3/3
D.7/8
Answer: D.7/8
Explanation: Explanation:
It is given that 3 coins are tossed simultaneously.
=>Total outcomes when one coin is tossed=2
=>Total outcomes when 3 coins are tossed= 2n = 2 X 2 X 2
=8 outcomes
Favourable outcomes: TTH, THT, HTT, THH, THT,HHT,HHH=7
Therefore, Probability= 7/8
ANSWER: D
Question: The greatest possible length which can be used to measure exactly the length 6m, 4m 30cm, 4 m is
A.10
B.27
C.35
D.87
Answer: A.10
Explanation: Explanation:
Required Length = H.C.F of 600 cm, 430 cm and 400 c
= 10 cm.
Answer: A) 10 cm
Question: Set A consists of all the prime numbers between 62 and 85. What is the range of set A?
A.12
B.13
C.16.6
D.16
Answer: D.16
Explanation: The range of a set of data is the difference between the highest and lowest values in the set
In this set,
Highest number = 83
Lowest number = 67
Range = Highest - Lowest = 83 - 67= 16
Option D
Question: For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score T for the exam?
A.74
B.76
C.78
D.80
Answer: A.74
Explanation: A score of 58 was 2 standard deviations below the mean --> 58 = Mean - 2d
A score of 98 was 3 standard deviations above the mean --> 98 = Mean + 3d
Solving above for Mean T= 74.
Answer: A.
Question: How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 25 percent butterfat to obtain milk that is 20 percent butterfat?
A.4
B.12
C.14
D.16
Answer: A.4
Explanation: Equate the fat:
0.1x + 0.25*8 = 0.2(x + 8) --> x = 4.
Answer: A.
Question: A security guard at a certain store is instructed to check the receipt of one out of every five customers as they are leaving the store. If, on the guard's shift, 16 customers leave the store, how many different samples of customers could have been selected to have their receipts checked?
A.20
B.120
C.59
D.90
Answer: B.120
Explanation: to choose the sample of 2 customers from 16. it can be done 16C2 possible ways.
So the answer is B. 120
Question: The average salary of all the 60 employees in an office is Rs. 12,000 per month. if the number of executives is twice the number of non executives employees, then the average salary of all the non executives employees is
A.Rs. 9000
B.Rs. 8000
C.Rs. 6000
D.can't be determined
Answer: D.can't be determined
Explanation: Answer
No. of executives / No. of non- executives
= 2 / 1
Therefore
Number of executives = 40
and number of non executives employees = 20
now , go through the options
Total salary = 40 x salary of executives + 20 x salary of non-executives
60 x 12000 = 40 x k + 20 x l, here k, l are unknowns
so we con't determine the required average salary
Correct Option: D