RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 676 feet squared, what is the difference between the length and the width of the roof?
A.39.
B.40.
C.42.
D.44.
Answer: A.39.
Explanation: Let the width= x
x*4x=676
x^2= 169
x= 13
Length= 4*13= 52
difference= 52-13= 39
A is the answer
Question: In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 3:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
A. $600
B. $720
C. $675
D. $450
Answer: A. $600
Explanation: To solve this question, it will be best to first express the given ratio using variable multipliers. Thus, we have:
Household Expenses : Food : Miscellaneous = 3x : 2x : x
Since we are told that the TOTAL amount allocated to these categories is $1,800 we can set up the equation:
3x + 2x + x = 1,800
6x = 1,800
x =300
Thus, the total amount allocated to food is 2 x 300 = $600.
Answer A.
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A.44%
B.49%
C.84%
D.24%
Answer: A.44%
Explanation: g% = 20 + 20 + (20*20)/100
= 44%
Answer: A
Question: It takes Avery 2 hours to build a brick wall while Tom can do it in 4 hour. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
A.70
B.20
C.50
D.60
Answer: D.60
Explanation: Avery takes 2 hours
Tom takes 4 hours
Efficiency of Avery is 1/2 units/hr
Efficiency of Tom is 1/4 units/hr
Combined efficiency of Tom and Avery is 1/2 +1/4 = 3/4 units/hr
Since they worked for 1 hour they completed 3/4 units of work and 1/4 units of work is left which is to be completed by Tom ( Since Avery left )
So Time taken by Tom to complete the remaining work will be 1/4/1/4 hours => 1*60 = 60 minutes...
Answer will be (D)
Question: A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds?
A.8
B.7
C.12
D.9
Answer: A.8
Explanation: Ans is A:
39 pounds --> 6 days
91 pounds --> x days
x = 91*6/39 = 14
the animal has already consumed food in 6 days so the the number of days for it's total consumption be 91 pounds is 14-6 = 8
Question: A football team lost 5 yards and then gained 9. What is the team's progress?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: Solution
For lost, use negative. For gain, use positive.
Progress = -5 + 9 = 4 yards
Answer B
Question: A town in California fines residents who do not pay their property taxes on time. All residents must pay their taxes before July 1st for that calendar year or face the following fine structure: For the first month the taxes are overdue (that would be any payment made on July 1st through July 31st), the total fine is 1% of the original tax bill; for each additional month that the taxes are overdue, the total fine is increased by $600 or doubled, whichever results in the lesser amount. What is the total fine for a resident of that town who originally owed $40,000 in property taxes, but did not pay until October 15th?
A.$1,400
B.$1,800
C.$2,400
D.$3,200
Answer: D.$3,200
Explanation: Original amount = 40,000
Fine for July = 40,000 * 1% = 400
Fine for August = lesser of the 2 , 400+600= 1000 or 400*2=800 . Pick 800
Fine for September = 800+600=1400 or 800*2 = 1600. Pick 1600
Fine for October = 1600+600=2200 or 1600*2 = 3200. Pick 3200.
The wording of the question should be have been clearer as total fines should be = 3200+1600+800+400 = 6000 and NOT 3200.
3200 is the fine ONLY for the month of October!
D
Question: The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 19. Find the sum :
A.4500
B.7600
C.5000
D.6000
Answer: B.7600
Explanation: Sol.(d) Let the sum be 100.
Therefore, SI = 100×5×2100=10100×5×2100=10
and CI = 100(1+5100)2−100100(1+5100)2−100
∴ =100×21×2120×20−100=414=100×21×2120×20−100=414
Difference of CI and SI = 41⁄4 - 10 = 1⁄4
If the difference is 1⁄4 , the sum = 100
=> If the difference is 19, the sum
= 400 × 19 = 7600 Answer B
Question: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 160 six-ounce servings of orange juice?
A.20
B.24
C.28
D.32
Answer: A.20
Explanation: 1 X 12 ounce can of concentrate + 3 X 12 ounce cans of water = 48 ounces of the mixture.
48 ounces of mixture gives (48 / 6 ) = 8 servings.
Thus 1 x 12 ounce can of concentrate is used to produce 8 servings of the mixture.
To make 160 servings of the mixture, we need 160 / 8 = 20 cans of the concentrate.
The answer is A.
Question: Given A+B+C+D+E= FG. If FG is Maximum as possible and A,B,C,D,E,F,G all are distinct digits
(0-9) then what is the value of G.
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: A+B+C+D+E=FG
9+8+7+6+5=35 Here E=G, So it is not possible.
again 9+8+7+6+4=34 Here also E=G, so it is also not possible
again 9+8+7+5+4=33 Here F=G
Finally 9+8+6+5+4=32 In this case condition is satisfies, so all are distinct and value of G=2.
ANSWER:B
Question: If p and q are prime numbers, how many divisors does the product p^3*q^6 have?
A.9
B.12
C.18
D.28
Answer: D.28
Explanation: , p^2, p^3 and q, q^1, q^2.... q^6 together
Essentially there are 18 different combinations you can make (3x6)
Also you have to include the different combinations the p and q exponents can be a divisor. There are 3 different p exponents and 6 different q exponents: p, p^2, p^3, q, q^2, q^3... q^6
Also add 1 since "1" can also be a divisor.
18+3+6+1 = 28 , ANSWER:D
Question: If a mixture is 3⁄5 alcohol by volume and 4⁄5 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
A.1/3
B.3/2
C.3/4
D.3
Answer: C.3/4
Explanation: Should be a sub-600 level Q..
volume= {3/5}/{4/5}=3/4
C
Question: At what rate percent of simple interest will a sum of money double itself in 66 years?
A.6.54 %
B.4.54 %
C.1.51 %
D.1.94 %
Answer: C.1.51 %
Explanation: Let sum = x. Then, S.I. = x.
Rate = (100 * S.I.) / (P * T) = (100 * x) / (x * 66)
= 100/66 = 1.51 %
ANSWER:C
Question: By selling 50 mangoes, a shopkeeper gains the price of 10 mangoes. His gain per cent is
A.25%
B.35%
C.20%
D.23%
Answer: A.25%
Explanation: Suppose S.P of 50 mangoes = Rs 50
Therefore, Gain = Rs 10 => C.P = Rs 40
Gain % = 10/40 x 100 = 25%
Gain = 25%
ANSWER:A
Question: How many three-digit numbers are there such that all three digits are different and the first digit is not zero?
A.504
B.648
C.720
D.729
Answer: B.648
Explanation: The first digit cannot be 0, so there are 9 options for the first digit.
the second digit can be any number (10 possibilities) but cannot be equal to the first digit. Therefore, there are (10-1) 9 possibilities for the 2nd digit.
The third digit can be any digit (10 possibilities) but cannot be equal to the first two digits. Therefore, there are (10-2) 8 possibilities for the 3rd digit.
So there are 9 * 9 * 8 = 648 possibilities.
ANSWER:B
Question: If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. c is even
II. ab > 4
III. ab is even
A.I only
B.III only
C.I and II
D.I and III
Answer: B.III only
Explanation: Two ways this can happen: 1- Even/ Even= Even or 2- Even/Odd= Even
So Ab MUST be even, with either A or B being even, Ab does not have to be positive, as B could be negative and once it is raised to 2 it becomes positive again, and of course, C could be Odd or Even as described above.
III only.letter B
Question: 4^b + 4^b + 4^b + 4^b =
A.7^b
B.4^(b + 1)
C.7^(7b)
D.8^b
Answer: B.4^(b + 1)
Explanation: Easy one.
4*4^b = 4^(b+1)
Ans. B
Question: A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 10 hours. During that time, the faster car traveled 2/3 of the distance XY. How long would it take the slower car to travel the distance XY?
A.6 hours
B.8 hours
C.30 hours
D.12 hours
Answer: C.30 hours
Explanation: If one car travelled 2/3, then the other car must have travelled only 1/3, as they are meeting after 10 hours in a certain point. So:
(1/3)XY= 10*y --> It took the car 10 hours to travel 1/3 of the distance at a constant speed y.
So if we solve this last equation:
XY= 3*10*y= 30*y --> It will take this car 30 hours in total to reach its final destination.
Answer: C
Question: A company pays project contractors a rate of a dollars for the first hour and b dollars for each additional hour after the first, where a > b.
In a given month, a contractor worked on two different projects that lasted 5 and 7 hours, respectively. The company has the option to pay for each project individually or for all the projects at the end of the month. Which arrangement would be cheaper for the company and how much would the company save?
A.Per month, with savings of $(4a + 4b)
B.Per month, with savings of $(4a - 4b)
C.The two options would cost an equal amount.
D.Per project, with savings of $(4a + 4b)
Answer: B.Per month, with savings of $(4a - 4b)
Explanation: Per Project, company will pay as follows:
For 5 hours work = a+4b
For 7 hours work = a+6b
Total = 2a+10b
Per Month, company will pay for 12 hours work = a+11b
Total per contract - total per month
5a+7b - (a+11b)
4a-4b
Since a>b Amount 5a+7b(per contract amount) > a+11b (per project amount) by 4a-4b.
Hence per month payment will be cheaper by 4a-4b .
OA B
Question: 15 - 2 + 4 ÷ 1/2 × 8 = ?
A.272
B.77
C.168
D.56
Answer: B.77
Explanation: Explanation:
15 - 2 + 4 ÷ 1/2 × 8 = 15 - 2 + 4 × 2 × 8 = 15 - 2 + 64 = 77
Answer: Option B
Question: What is the least value of x. So that 21x57 is divisible by 3.
A.2
B.0
C.1
D.3
Answer: B.0
Explanation: Explanation:
The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 1 + x + 5 + 7 = 15 + x
Least value of x may be 0
Therefore 15 + 0 = 15 is divisible by 3.
Answer: Option B
Question: Pipe A can fill a tank in 20 Mins and pipe B can fill it in 30 Mins. If both the pipes are opened in the empty tank. In how many Mins will it be fill exact half of the tank?
A.4 mins
B.5 mins
C.6 mins
D.7 mins
Answer: C.6 mins
Explanation: Part filled A in 1 hr= (1/20)
Part filled B in 1 hr= (1/30)
Part filled by (A+B) together in 1 hr=(1/20)+(1/30)=1/12
So, The tank will be full in 12 mins
Time taken to fill Exact half tank = 12/2 = 6 Mins.
Answer : C
Question: The area of playground is 5800 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
A.a) $144
B.b) $150.50
C.c) $162
D.d) $158.60
Answer: C.c) $162
Explanation: total volume * unit cost = total cost
or, 5800 * 0.01 * 2.8 = total cost = 162=C
Question: A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $75000 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?
A.5
B.6
C.9
D.10
Answer: D.10
Explanation: Since the starting point is given as the $4000 scholarship,
Assume $4000 scholarships to be x
By the given information, $2500 scholarships = 2x
and $1250 scholarships = 6x
Gievn: Total $1250 scholarships = $75000
6x*1250 = 75000
Solve for x = 10
Option D
Question: A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?
A.60km/hr
B.54km/hr
C.50km/hr
D.45km/hr
Answer: A.60km/hr
Explanation: Number of gaps between 21 telephone posts = 20
distance travelled in 1 minute = 50*20 = 1000m = 1km
speed = 60km/hr
Answer is A
Question: Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
A.3
B.3.3
C.3.5
D.3.6
Answer: D.3.6
Explanation: Explanation: In this simple subtraction series, each number decreases by 0.4.
Answer: Option D
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A.27
B.89
C.29
D.20
Answer: B.89
Explanation: Speed = 240/24 = 10 m/sec.
Required time = (240 + 650)/10
= 89 sec.
Answer:B
Question: #p is defined as 2p+20 for any number p. What is p, if #(#(#p))=-4?
A.–108
B.–44
C.10
D.-18
Answer: D.-18
Explanation: #p = 2p+20 --->#(#p) = 2(2p+20)+20 = 4p+60 and thus #(4p+60) = 2(4p+60)+20 = 8p+140 = -4 ---> 8p= -144 ---> p = -18, D is the correct answer.
Question: When x - p is divided by p - 2, the quotient is n and there is no remainder. Which of the following must be the value of x?
A.n(p +1)
B.n(p − 1)
C.p(n + 1) + 2n
D.p(n - 1) + n
Answer: C.p(n + 1) + 2n
Explanation: Given in question (x-p)/p-2= n
=> x-p= n(p-2)
=>x= np+2n+p
or x= np+p+2n
Now we are good to check the options
x= p(n+1) + 2n
Answer C
Question: A group of people participate in some curriculum, 25 of them practice Yoga, 15 study cooking, 8 study weaving, 2 of them study cooking only, 7 of them study both the cooking and yoga, 3 of them participate all curriculums. How many people study both cooking and weaving?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: Both cooking and weaving = 15 - (2+3+7) = 3
So, the correct answer is C.
Question: A walks at 30 kmph and 30 hours after his start, B cycles after him at 50 kmph. How far from the start does B catch up with A?
A.1200km
B.1500km
C.2000km
D.2250km
Answer: D.2250km
Explanation: Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 30 hours.
x/30 - x/50 = 30
x = 2250 km
Answer is D
Question: Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
A.10
B.25
C.12
D.20
Answer: C.12
Explanation: Explanation:
Speed of train 1 = 12 m/sec
Speed of train 2 = 8 m/sec
if they travel in opposite direction, relative speed = 12 + 8 = 20 m/sec
distance covered = 120 + 120 = 240 m
time = distance/speed = 240/20 = 12 sec
ANSWER IS C
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
A.36
B.56
C.65
D.75
Answer: A.36
Explanation: (3x-9):(5x-9) = 9:17
x = 12 => 3x = 36
Answer:A
Question: A man swims downstream 18 km and upstream 12 km taking 3 hours each time, what is the speed of the man in still water?
A.3
B.5
C.6
D.4
Answer: B.5
Explanation: 18 --- 3 DS = 6
? ---- 1
12 ---- 3 US =4
? ---- 1 M = ?
M = (6+4)/2 = 5
Answer: B
Question: Find the number such that when 15 is subtracted from 7 times the number,the result is 10 more than twice the number?
A.4
B.3
C.5
D.2
Answer: C.5
Explanation: Let the number be x.
7x-15=2x+10
7x-2x=15+10
5x=25
x=5
answer is option C
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
A.1/13
B.2/21
C.5/26
D.3/25
Answer: C.5/26
Explanation: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Question: A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 80 km/h. At what time will the second train catch the first train?
A.12:30
B.1:00
C.1:30
D.2:00
Answer: B.1:00
Explanation: In thirty minutes the first train travels 35 km.
The second train catches the first train at a rate of 80 km/h - 70 km/h = 10 km/h.
The second train will catch the first train in 35/10 = 3.5 hours, so at 1:00 pm.
The answer is B.
Question: A 250 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?
A.228
B.108
C.1266
D.75
Answer: D.75
Explanation: S = 250/12 * 18/5 = 75kmph
Answer: D
Question: While flying over the Pacific, an airplane makes a 25° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 15° east of north, in what direction was it originally flying?
A.(a) 30° west of north
B.(b) 30° east of north
C.(c) 10° west of north
D.(d) 10° east of north
Answer: C.(c) 10° west of north
Explanation: If after a turn of 25° you are 15°NEast, with a 10° turn you would be perfectly pointing at north. So you were, before the turn, 10° to the other side (West).
Answer C)
Question: A can do a piece of work in 30 days while B can do it in 40 days. In how many days will they finish it together?
A.120/7
B.95/8
C.123/9
D.150/7
Answer: A.120/7
Explanation: 1/30 + 1/40 = 7/120
Both can finish the work in 120/7 days
Answer: A
Question: A work can be finished in 30 days by 30 women. The same work can be finished in fifteen days by 15 men. The ratio between the capacity of a man and a woman is
A.1:3
B.4:3
C.2:3
D.4:1
Answer: D.4:1
Explanation: Work done by 30 women in 1 day = 1/30
Work done by 1 woman in 1 day = 1/(30×30)
Work done by 15 men in 1 day = 1/15
Work done by 1 man in 1 day = 1/(15×15)
Ratio of the capacity of a man and woman =1/(15×15) : 1/(30×30)) = 1/225 : 1/900
= 1/1 :1/4 = 4:1
Option D
Question: Simplfy
b - [b -(a+b) - {b - (b - a+b)} + a]
A.a
B.2a
C.4a
D.0
Answer: A.a
Explanation: Explanation:
b-[b-(a+b)-{b-(b-a+b)}+a]
=b-[b-a-b-{b-(2b-a)}+a]
=b-[-a-{b-2b+a}+a]
=b-[-a-{-b+a}+a]
=b-[-a+b-a+a]
=b-[-2a+b+a]
=b-b+a
=a
Option A
Question: Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 5 hours?
A.2.4.
B.3.6.
C.4.2.
D.8.
Answer: D.8.
Explanation: W = 2 desks
T = 2.5 hrs
Rate of 2 carpenters = 2×R
Rate = work done/ time
2xR = 2/2.5
R = 1/2.5 = 2/5 (this is the rate of each carpenter)
Work done by 4 carpenters in 5 hrs = 4 × rate of each carpenter x time = 4× 2/5 × 5= 8 desks
D is the correct answer.
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
A.2.99
B.2.88
C.2.91
D.2.77
Answer: B.2.88
Explanation: M = 6
S = 1.2
DS = 6 + 1.2 = 7.2
US = 6 - 1.2 = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
Answer:B
Question: 9.7 , 9.7 , 9.9 , 9.9 , 10.0 , 10.1 , 10.2 , 10.5
The mean and the standard deviation of the 8 numbers shown above is 10 and 0.25 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
A.90%
B.85%
C.80%
D.75%
Answer: D.75%
Explanation: Within 1 standard deviation of the mean- means in the range {mean-1*sd; mean+1*sd} = {10-1*0.25; 10+0.25} = {9.75; 10.25}.
From the 8 listed numbers, 5 are within this range so 5/8=75%.
Answer: D.
Question: Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 6% sugar. What percentage of the gallon is dye?
A. 6
B. 6.5
C. 7.5
D. 4.8
Answer: D. 4.8
Explanation: The proportion of Dye and sugar will remain constant.
Dye/Sugar = (4/9)/(5/9) = x/6
=> 4/5 = x/6 => x = 4*6/5 = 4.8
Answer is D.
Question: A library has an average of 630 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
A.250
B.305
C.280
D.285
Answer: B.305
Explanation: Since the month begins with sunday,to there will be five sundays in the month
Average required = (630x5 + 240x25 /30) = 305
Answer: Option B
Question: Of the 200 employees in a certain company, 30 percent will be relocated to City X and the remaining 70 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
A. 115
B. 120
C. 140
D. 152
Answer: C. 140
Explanation: 120 prefer X (Group 1);
80 prefer Y (Group 2).
City Y needs 140 people: letall 80 who prefer Y (entire Group 2) be relocated there, the rest 60 will be those who prefer X from Group 1;
City X needs 60 people: 120-60=60 from Group 1 will be relocated to X, which they prefer.
So, the highest possible number of employees who will be relocated to the city they prefer is 80+60=140.
Answer: C.
Question: The length and breadth of a rectangle is increased by 3% and 6% respectively. What is the increase in the area?
A.9.18
B.9.25
C.9.5
D.8.98
Answer: A.9.18
Explanation: 100*100=10000
103*106=10918
-----------
918
10000-------918
100----------9.18
Ans A
Question: One machine takes 3 minutes to check fault in 100 km fiber optic cable.Another machine does the same job in 3 seconds.What time will it take to do the same job when both machines are put to work?
A.2.00 seconds
B.2.20 seconds
C.2.50 seconds
D.2.95 seconds
Answer: D.2.95 seconds
Explanation: By guess it is clear that the time taken will be less than 3 seconds and very near to it. Therefore, answer 2.95 seconds will be correct. Answer-D
Question: A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
A.24 days
B.65 days
C.86 days
D.45 days
Answer: A.24 days
Explanation: 10/40 + 10/30 + 10/x = 1
x = 24 days
Answer:A
Question: A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed amount A, B and C?
A.3 : 5 : 2
B.3 : 5 : 5
C.6 : 10 : 5
D.None of these
Answer: C.6 : 10 : 5
Explanation: Solution
Let the initial investments of A and B be 3x and 5x.
A : B : C	=(3x ×12):(5x ×12):(5x×6)
= 36 : 60 : 30
= 6 : 10 : 5.
Answer C
Question: How is 3% expressed as a decimal fraction?
A.0.3
B.0.03
C.0.003
D.0.0003
Answer: B.0.03
Explanation: 3/100= 0.03
ANSWER:B
Question: What should come in place of the question mark (?) in the following number series?
11 21 33 47 63 ?
A.80
B.81
C.82
D.83
Answer: B.81
Explanation: The numbers increase by 10, 12, 14, 16,...
The next number should be 63+18 = 81
The answer is B.
Question: If f(x)=4x−1 and g(x)=2x+4 for all integers, which of the following is a possible value of g(f(x))?
A.-23
B.-17
C.0
D.18
Answer: D.18
Explanation: g(f(x)) = 2*f(x)+4 = 2*(4x-1)+4 = 8x+2
Of these five options, only 18 has the form 8x+2.
The answer is D.
Question: A committee that includes 8 members is about to be divided into 2 subcommittees with 4 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member?
A.43%
B.39%
C.35%
D.31%
Answer: A.43%
Explanation: Michael is a member of one of the subcommittees.
P(Annie is on the same subcommittee) = 3/7 which is about 43%.
The answer is A.
Question: The sale price at which a store sells an article is 25% more than its cost price. If the sale price is an integer, which of the following cannot be the cost price?
A.$28
B.$40
C.$56
D.$63
Answer: D.$63
Explanation: Sale Price = (5/4)*(Cost Price)
If the sale price is an integer, then the cost price must be divisible by 4.
The answer is D.
Question: If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of water ?
A.Red
B.BLUE
C.PINK
D.ORANCE
Answer: A.Red
Explanation: Explanation:
Pink → Orange
Orange → Blue
Blue → Red
Red → Green
Green → Black
Black → White
The color of water is 'Blue' but in coding language, 'Blue' is called 'Red'.
ANSWER: A
Question: A candidate got 35% of the votes polled and he lost to his rival by 2430 votes. How many votes were cast?
A.7500
B.3388
C.8100
D.2888
Answer: C.8100
Explanation: 35%-----------L
65%-----------W
------------------
30%----------2430
100%---------? => 8100
Answer: C
Question: Suppose there is a number 235 such that sum of first two digits is equal to the third digit. How many such 3 digits numbers are possible?
A.42
B.43
C.44
D.45
Answer: D.45
Explanation: As we know that total digits are
0 ,1, 2, 3,4,5,6,7,8,9
if three digit no is xyz
this means x+y=z must hold
so we have to select two no out of 10
ans is 10 c 2=45
ANSWER:D