RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: There are 810 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
A.75
B.100
C.125
D.135
Answer: D.135
Explanation: Let m be the number of male participants and f be the number of female articipants in the meeting. Thetotal number of participants is given as 810.
Hence, we have m+f= 810
Now, we have that half the female participants and one-quarter of the male participants are Democrats.
Let d equal the number of the Democrats.
Then we have the equation f/2 + m/4 =d
Now, we have that one-third of the total participants are Democrats. Hence, we have the equation
d = 810/3 = 270
Solving the three equations yields the solution
f = 270,m= 540, and d= 270.
The number of female democratic participants equals half the female participants equals
270/2 = 135.
ANSWER:D
Question: Suppose 10 monkeys take 10 minutes to eat 10 bananas. How many monkeys would it take to eat 70 bananas in 70 minutes?
A.9
B.17
C.11
D.10
Answer: D.10
Explanation: One monkey takes 10 min to eat 1 banana , so in 70 mins 1 monkey will eat 7 bananas , so for 70 bananas in 70 min we need 70/7 =10 monkeys
ANSWER:D
Question: For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 80 color copies at Print Shop Y than at Print Shop X?
A.$120
B.$125
C.$130
D.$135
Answer: A.$120
Explanation: The difference in the two prices is $2.75 - $1.25 = $1.50 for each color copy.
Each color copy will cost an extra $1.50 at Print Shop Y.
80*$1.50 = $120
The answer is A.
Question: What is the sum of the multiples of 3 from 33 to 60, inclusive?
A.465
B.470
C.452
D.450
Answer: A.465
Explanation: The formula we want to use in this type of problem is this:
Average*Total Numbers=Sum
First, find the average by taking the sum of the F + L number and divide it by 2:
A = (F + L)/2
Second, find the total numbers in our range by dividing our F and L numbers by 7 and add 1.
(60/3) - (33/3) + 1
Multiply these together so what we show Average*Total Numbers=Sum
(33 + 60)/2 * (60/3) - (33/3) + 1 = Sum
93/2 *10 = 465
A
Question: Car A runs at the speed of 33km/hr & reaches its destination in 7hr. Car B runs at the speed of 44 km/h & reaches its destination in 5h. What is the respective ratio of distances covered by Car A & Car B?
A.20 : 23
B.25 : 27
C.21 : 20
D.29 : 23
Answer: C.21 : 20
Explanation: Sol. Distance travelled by Car A = 33 × 7 = 231 km
Distance travelled by Car B = 44 × 5 = 220 km
Ratio = 231/220 = 21 : 20
C
Question: Mahesh, Ramesh and Suresh invest Rs. 45000, Rs. 55000 and Rs. 65000 respectively for 9 months in a partnership firm. If the total profit of Rs.13200 was made at the end of 9 months. How much did Suresh get more than Mahesh?
A.Rs. 900
B.Rs. 1200
C.Rs. 800
D.Rs. 1600
Answer: D.Rs. 1600
Explanation: Explanation:
Rs. 1600
Answer: Option D
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 10 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
A.25
B.34
C.30
D.67
Answer: C.30
Explanation: Orange juice concentrate: water::1:3
total quantity of orange juice = 200*6 = 1200 oz
so Orange juice concentrate: water :: 300 oz:900 oz
no. of 10 oz can = 300 oz/10 oz = 30
Answer C, 30 cans
Question: A tap can fill a tank in 6 hours. After half the tank is filled then 3 more similar taps are opened. What will be total time taken to fill the tank completely.
A.3hrs 45 min
B.2 hrs
C.4 hrs 15 min
D.5 hrs 30 min
Answer: A.3hrs 45 min
Explanation: 1 hr = 4(1/6)=2/3
==1-1/2=1/2
2/3:1/2::1:X
X=(1/2*1*32)
x=3/4 hrs ==> 3hrs 45 min
ANSWER A
Question: The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $40,000, how much profit did the business make?
A.$44,000
B.$54,000
C.$64,000
D.$84,000
Answer: C.$64,000
Explanation: Let P be the total profit.
P/4 + 1/2*(3P/4) = P/4 + 3P/8 = 5P/8 = 40000
P = $64,000
The answer is C.
Question: The price of lunch for 15 people was $209.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
A. $11.73
B. $12.66
C. $13.80
D. $14.00
Answer: B. $12.66
Explanation: Take the initial price before the gratuity is 100
The gratuity is calculated on the final price, so as we assumed the final bill before adding gratuity is 100 so gratuity is 15% of 100 is 15 so the total price of meals is 115 so the given amount i.e 209 is for 115 then we have to calculate for 100
for 115 209
for 100 x
so by cross multiplication we get 115x=100*209 => x=100*209/110 by simplifying we get x as 190 which is the price of lunch before gratuity so the gratuity is 19 so
as the question ask the average price person excluding gratuity is 190/15=12.66 so our answer is B)
Question: At a constant Rate of flow, it takes 12 minutes to fill a swimming pool if a large hose is used and 60 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
A.30
B.10
C.15
D.20
Answer: B.10
Explanation: time taken to fill the pool by Large Hose =12 minutes =L or 1/L=1/12 similarly 1/S=1/60
simultaneously it will take 1/L+1/S=1/12+1/60=6/60=10 minutes
Answer : B
Question: The sides of a rectangle are in the ratio 4:3 and its area is 972sq.m find the perimeter of rectangle
A.120m
B.122m
C.124m
D.126m
Answer: D.126m
Explanation: Explanation:
let 4x and 3x be sides of the rectangle
We know that area of rectangle = l×b
4x × 3x = 972
12x2 = 972
X2 = 81
X = 9
Therefore length = 4x = 4×9 = 36m
Breadth = 3x = 3×9 = 27m
Therefore perimeter = 2 (l+b) = 2(36+27) = 126m
Answer: Option D
Question: In a kilometer race, A beats B by 25 meters or 10 seconds. What time does A take to complete the race?
A.167 sec
B.190 sec
C.390 sec
D.716 sec
Answer: C.390 sec
Explanation: Time taken by B run 1000 meters
= (1000 * 10)/25 = 400 sec.
Time taken by A = 400 - 10
= 390 sec.
Answer:C
Question: Last year Manfred received 26 paychecks. Each of his first 6 paychecks was $760; each of his remaining paychecks was $30 more than each of his first 6 paychecks. To the nearest dollar, what was the average (arithmetic mean) amount of his pay checks for the year?
A. $752
B. $755
C. $765
D. $783
Answer: D. $783
Explanation: = (760*6+ 790 *20)/26
= 783
Answer is D.
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Question: An oil cylinder was 3/4th full. When ONE bottles of oil is poured into it, it is 4/5th full. How many bottles of oil
can the full cylinder hold?
A.20
B.15
C.40
D.30
Answer: A.20
Explanation: (4/5 -3/4) cylinder is filled by 1 bottles
0.8 -0.75 = 0.05 cylinder is filled by 1 bottles
1 cylinder is filled by 1/0.05 = 20 bottles
ANSWER:A
Question: The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is :
A.1520 m2
B.2420 m2
C.2480 m2
D.2520 m2
Answer: D.2520 m2
Explanation: Solution
We have : (l - b) = 23 and 2 (l + b) = 206 or (l + b) = 103.
Solving the two equations, we get, l = 63 and b = 40.
∴ Area = (l × b) = (63 × 40) m2 = 2520 m2. Answer D
Question: In a game of billiards, A can give B 40 points in 120 and he can give C 60 points in 120. How many points can B give C in a game of 200?
A.55
B.60
C.45
D.50
Answer: D.50
Explanation: A scores 120 while B score 80 and C scores 60.
The number of points that C scores when B scores 200 = (200 * 60)/80 = 150.
In a game of 200 points, B gives (200 - 150) = 50 points to C
Answer : D
Question: The area of a square field is 1225 km2. How long will it take for a horse to run around at the speed of 20 km/h ?
A.7 h
B.10 h
C.8 h
D.6 h
Answer: A.7 h
Explanation: Explanation Area of field = 1225 km2. Then, each side of field = √1225=35km Distance covered by the horse = Perimeter of square field = 35× 4 = 140 km ∴ Time taken by horse = distances/peed=140/20=7h Answer A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.9 a.m.
B.10 a.m
C.10.30 a.m.
D.11 a.m.
Answer: B.10 a.m
Explanation: Suppose they meet x hours after 7 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
= 45x = 135
= x = 3.
So, they meet at 10 a.m.
ANSWER :B
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.150
B.788
C.266
D.1254
Answer: A.150
Explanation: Length of the train be ‘X’
X + 150/15 = X + 250/20
4X + 600 = 3X + 750
X = 150m
Answer: A
Question: Find the smallest positive integer n such that tn of the arithmetic sequence 20,19¼ ,18½ ,… is negative
A.27
B.28
C.29
D.30
Answer: B.28
Explanation: Here we have , a= 20 = d = 19 ¼-20=-3/4
We	want	to	find	the	first	positive	integer	n such thattn<0
20+(n-1)(-3/4)<0
n>27.33
hence, 28th term is first negative term
Option B
Question: On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with five times the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.80 per glass on the first day, what was the price per glass on the second day?
A. $015
B. $0.27
C. $0.30
D. $0.40
Answer: B. $0.27
Explanation: On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;
On the second day 1 unit of orange juice and 5 units of water was used to make 6 units of orangeade;
So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 6. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 6.
We are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 6 glasses on the second day.
Say the price of the glass of the orangeade on the second day was $x then 2*0.8=6*x --> x=$0.27.
Answer: B.
Question: The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability R that 3 of Sam’s 4 funds grew by at least 10% over last year?
A. 6C3 / 10C4
B. 6C3 * 4C1 / 10C4
C. 6C3 * 4C1 / 10P4
D. 6P3 * 4P1 / 10C4
Answer: B. 6C3 * 4C1 / 10C4
Explanation: Look at the answers. B is the only answer choice that uses only combination formulas and takes into account all the factors.
We know this is a combination, not a permutation. This rules out choices C, DE.
A clearly isn't the answer because R=6C3 only accounts for 3 of the funds he chose. 10C4, the denominator, is correct, so the numerator must be wrong.
B it is.
Question: A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 79, how many questions did Student A answer correctly?
A.55
B.60
C.93
D.82
Answer: C.93
Explanation: let the number of correct responses be x
then the number of incorrect responses =100-x
according to question
x-2(100-x)=79 (subtracting twice of incorrect from correct)
3x=279
x=93
ANSWER:C
Question: What is the probability R of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
A.1/13
B.1/20
C.1/26
D.1/50
Answer: C.1/26
Explanation: Why do you calculate the total combinations and everything, it is much easier to calculate as follows:
3/13 * 1 * 1 * 1 * 1 ..... * 2/12 = 6/156 = 1/26
This is because 3/13 = Probability that first letter will be E and 2/12 = probability that thefirstletter will be R. Between everything else cuts down to 1*1*1... e.g. probability R of the second letter is 11/11 = 1, > we do not care what's in between.C
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
A.Rs.370
B.Rs.375
C.Rs.375
D.Rs.350
Answer: B.Rs.375
Explanation: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
75 ----- ? => 375
ANSWER:B
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train?
A.150 meter
B.200 meter
C.156 meter
D.168 meter
Answer: B.200 meter
Explanation: Speed = 60*(5/18) m/sec
= 50/3 m/sec
Length of Train (Distance)
= Speed * Time
(50/3) * 12
= 200 meter
Answer:B
Question: Find the least number of vans needed to transport a group of 98 sports fans who are travelling for a sporting event, given that each van can carry 7 persons only?
A.9
B.17
C.14
D.13
Answer: C.14
Explanation: To find the number of vans, we divide 98 by 7.
98/7 = 14 and no remainder
So 14 vans are needed to transport 98 fans
correct answer C
Question: From a pack of 52 cards, 1 card is drawn at random. What is the probability that a heart is drawn?
A.1/2
B.1/3
C.1/4
D.1/13
Answer: C.1/4
Explanation: The total number of cards is 52.
The number of hearts is 13.
P(heart) = 13/52 = 1/4
The answer is C.
Question: x is a positive integer less than 100. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
A.14
B.22
C.23
D.24
Answer: A.14
Explanation: the nubmer which when divided by 7 leaves remainder 1 should be of the form 7k+1
this number when divided by 3 leaves remainder 2.
so,
(7k+1)-2 should be divisible by 3 or 7k-1 should be divisible by 3.
we now put the values of k starting from 0 to find first number divisible by 3
we find 1st number at k= 1
thus smallest number will be 7(1)+1 = 8
now,
next number will be = 8+ lcm of 37
i.e 29
now we will find number of all such values less than 500 by using the formula for last term of an a.p
8+(n-1)21=100
n=14.42
or n= 14
Answer:- A
Question: Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings?
A.Rs.3600
B.Rs.3629
C.Rs.3279
D.Rs.3629
Answer: A.Rs.3600
Explanation: Let the income and the expenditure of the person be Rs. 5x and Rs. 4x respectively.
Income, 5x = 18000
=> x = 3600
Savings = Income - expenditure
= 5x - 4x = x
So, savings =Rs.3600.
Answer: A
Question: A can do a job in 12 days and B can do it in 20 days. A and B working together will finish twice the amount of work in days?
A.22 1/6
B.22 1/2
C.22 1/0
D.15
Answer: D.15
Explanation: 1/12 + 1/20 = 8/60 = 2/15
15/2 = 15/2 *2 = 15 days
Answer: D
Question: When integer n is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3l
II. 4l+10
III. 5l
IV. 2l
V .6l
A.I
B.III
C.IV
D.V
Answer: B.III
Explanation: B
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
A.300 kmph
B.360 kmph
C.600 kmph
D.720 kmph
Answer: D.720 kmph
Explanation: Explanation: Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]
Required speed = 1200 x 3/5 km/hr = 720 km/hr.
Answer: Option D
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. What is the total distance traveled by the man?
A.5.77
B.5.7
C.5.76
D.5.78
Answer: C.5.76
Explanation: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer: C
Question: The average weight of 26boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A.49.05
B.42.25
C.50
D.51.25
Answer: A.49.05
Explanation: Explanation:
Average weight of 26 boys = 50.25
Total weight of 26 boys = 50.25 × 26
Average weight of remaining 8 boys = 45.15
Total weight of remaining 8 boys = 45.15 × 8
Total weight of all boys in the class = (50.25 × 26)+ (45.15 × 8)
Total boys = 26 + 8 = 34
Average weight of all the boys = (50.25×26)+(45.15×8)/34
=49.05
Answer: Option A
Question: If a and b are positive integers such that a – b and a/b are both even integers, which of the following must be an odd integer?
A.a/2
B.b/2
C.(a+b)/2
D.(a+2)/2
Answer: D.(a+2)/2
Explanation: a−ba−b even --> either both even or both odd
abab even --> either both even or aa is even and bb is odd.
As both statements are true --> aa and bb must be even.
As abab is an even integer --> aa must be multiple of 4.
Options A is always even.
Options B can be even or odd.
Options C can be even or odd.
Options D: a+22=a2+1a+22=a2+1, as aa is multiple of 44, a2a2 is even integer --> even+1=odd. Hence option D is always odd.
Options E can be even, odd.
Answer: D.
Question: Katherine invested a certain sum of money in a bank that paid simple interest. The amount grew to $350 at the end of 2 years. She waited for another 3 years and got a final amount of $425. What was the principal amount that she invested at the beginning?
A.$360
B.$380
C.$300
D.$280
Answer: C.$300
Explanation: What shall be the rate of interest.? Does that is not required for the calculation?
Not really!
Keep in mind that the interest earned each year will be the same in Simple Interest.
At the end of 2 years, Amount = $350
At the end of 5 years, Amount = $425
This means she earned an interest of $75 in 3 years. Or $25 in each year.
We know that the interest earned each year will be the same.
Therefore she must have earned $50 in 2 years.
Hence Principal Amount = $350 - $50 = $300 Option C
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
A.138
B.100
C.999
D.928
Answer: C.999
Explanation: a2 = 3136 => a = 56
56 * 4 * 3 = 672 – 6 = 666 * 1.5
= 999
C
Question: Find the least number of vans needed to transport a group of 189 people who are travelling for an event, given that each van can carry 13 persons only?
A.18
B.19
C.12
D.15
Answer: D.15
Explanation: To find the number of vans, we divide 189 by 13.
189/13 = 14 and remainder = 7
So 14 vans are needed to transport 189 persons, and 1 van is needed to transport the 7 remaining persons. A total of 15 vans are needed.
correct answer D
Question: A monkey ascends a greased pole 12 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?
A.21st
B.22nd
C.23rd
D.24th
Answer: B.22nd
Explanation: In 2 minutes, he ascends = 1 metre
∴ 10 metres, he ascends in 20 minutes.
∴ He reaches the top in 21st minute.
Answer B
Question: Basmati rice costs $(a−b) per kilogram in standard 7 kilogram packages, where a>b>0, and $(a) per kilogram in non-standard packages. In terms of a and b, what is the lowest possible price of exactly 24 kilograms of Basmati rice, in dollars?
A.24a−3b
B.21a−3b
C.24a−21b
D.21a−21b
Answer: C.24a−21b
Explanation: $(a-b) per kg in standard 7kg packs and $a per kg in non std packs.
For 24 kg we can use 3 packs of 7 kg and 3 non std packs of 1 kg each.
Leading to 3*7*(a-b)+3a= 21a- 21b+3a=
24a-21b.
ANSWER:C
Question: Two coins are tossed. Find the probability of at most 2 tails ?
A.1/2
B.1/4
C.1/3
D.1
Answer: D.1
Explanation: n(s) = 2^2 = 4 ....(2 coins are tossed)
let E is the event of getting at most 2 tails
n(E) = HH, TT , HT, TH = 4
P(E) = n(E) / n(s)
= 4/4
= 1
Ans- D
Question: If a = 105 and a^3 = 21 × 25 × 45 × e, what is the value of e?
A.35
B.42
C.45
D.49
Answer: D.49
Explanation: a=105 = 3* 5 *7
a^3 = 21 × 25 × 45 × e
=> a^3 = (7*3) x (5*5) x ( 3^2 * 5) x e
=> a^3 = 3^3 * 5^3 * 7 x e
=>( 3* 5 *7) ^3 = 3^3 * 5^3 * 7 x e
e = 7^2 = 49
Answer D
Question: A cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm. The radius of the cone will be :
A.8 cm
B.9 cm
C.10 cm
D.11 cm
Answer: A.8 cm
Explanation: Sol.
Let the radius of the cone be r cm.
Then, 1/3 ∏ * r² * 6 = ∏ * 8 * 8 * 2
⇔ r² = [8 * 8 * 2 * 3 / 6] = 64
⇔ r = 8 cm.
Answer A
Question: The following sets each have a mean of 16 and the standard deviations are given in variable form.
Set I = {11, 13, 15, 17, 19, 21}, standard deviation = P
Set II = {16, 16, 16, 16, 16, 16}, standard deviation = Q
Set III = {10, 10, 10, 22, 22, 22}, standard deviation = R
Rank these three standard deviations from greatest to least.
A.P, Q, R
B.Q, R, P
C.R, P, Q
D.P, R, Q
Answer: C.R, P, Q
Explanation: The answer should be C as the mean is most deviated in Set III followed by Set I and then Set II.
Question: If x is a sum of all even integers on the interval 23...65 and y is their number, what is the GCD (x, y)?
A. 1
B. 21
C. 26
D. 52
Answer: B. 21
Explanation: x = 24 + 16 + ... + 64 = (largest + smallest)/2 *(# of terms) = (24 + 64)/2*21= 44*16.
GCD of 21 and 44*21 is 21.
Answer: B.
Question: To reach her destination, Jeanette must drive 90 miles. If she drives 7 miles every 7 minutes, how much time will it take her to reach her destination?
A.2 hours and 2 minutes
B.1 hours and 30 minutes
C.2 hours and 10 minutes
D.2 hours and 12 minutes
Answer: B.1 hours and 30 minutes
Explanation: 7 minute for 7 miles how much for 90? minutes for 1(7/7) mile multiplied by 90 miles.
7*90/7= 90> 1 hours 30 min answer is B
Question: In the diagram below, the points P and Q are the midpoints of opposite sides
of a regular hexagon. What fraction of the hexagon is shaded?
A.2/3
B.3/4
C.5/6
D.7/8
Answer: A.2/3
Explanation: Assume the hexagon has side length b. The total area of the hexagon is then 6 times
the area of a equilateral triangle side-length b; this is, 6bh=2 = 3b2
p
3. The area of the shaded
quadrilateral can be seen as the addition of the area of two isosceles triangles with base 2b
and height
p
3b=2. The requested fraction is then 2=3.
correct answer A
Question: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
A.14
B.27
C.32
D.22
Answer: D.22
Explanation: D
22
This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.
Question: A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price p. The store sold the first 150 copies in the first week at 80% more than p, and then over the next month, sold a 100 more at 20% more than p. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than p. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?
A. 30% loss
B. 10% loss
C. 10% profit
D. 20% profit
Answer: D. 20% profit
Explanation: [[p(150)(1.8)+p(100)(1.2)+p(150)(0.6)]/400p] - 1
[50[(3)(1.8) + (2)(1.2) + (3)(0.6)] / (50)(8)] - 1
[(5.4 + 2.4 + 1.8)/8] - [8/8]
+1.6/8
+20%
answer is D
Question: Fresh grapes contain 80% water by weight, whereas dried grapes contain
15% water by weight. How many pounds of dried grapes can be obtained
from 34 pounds of fresh grapes?
A.8
B.9
C.10
D.11
Answer: A.8
Explanation: Suppose we call what’s left from a grape after removing all water “waterless
content”. Then 34 pounds of fresh grapes contain 6.8 pounds “waterless content”. Also,
x pounds dried grapes contain x−0.15x = 0.85x pounds “waterless” content”. Solving
the equation 0.85x = 6.8 we get x = 8.
correct answer A
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.7 1/8
B.7 1/6
C.7 1/5
D.7 1/2
Answer: D.7 1/2
Explanation: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer: D