RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work?
A.80 days
B.70 days
C.20 days
D.10 days
Answer: C.20 days
Explanation: C
20 days
(5m + 9w)10 = (6m + 12w)8
=> 50m + 90w = 48w + 96 w => 2m = 6w => 1m = 3w 5m + 9w = 5m + 3m = 8m
8 men can do the work in 10 days.
3m +3w = 3m + 1w = 4m
So, 4 men can do the work in (10 * 8)/4 = 20 days.
Question: If a fair coin is tossed five times, what is the probability of getting exactly three heads in a row?
A.3/16
B.5/16
C.3/32
D.5/32
Answer: D.5/32
Explanation: Let X represent either H or T (it doesn't matter which).
P(HHHTX) = 1/16
P(THHHT) = 1/32
P(XTHHH) = 1/16
The sum of these probabilities is 5/32
The answer is D.
Question: There are two men aged 30 and 36 years. The probability to live 35 years more is 0.67 for 30 -years pld man and 0.60 for 36 year old man. Find the probability that at least one of these men will be alive 35 years hence.
A.0.35
B.0.868
C.0.43
D.0.44
Answer: B.0.868
Explanation: Explanation :
Let, A ≡ event that 30 year-old man will live 35 years more.
B ≡ event that 36 year-old man will live 35 years more.
[ A and B are independent events ]
To find at least one of the men will be alive it easier to calculate the complementary of the event (i.e none will be alive) first. Since
P(at least one) = 1 - P(none).
P(none will be alive)
= P(~A~B)
= P(~A) x P(~B)
= [1 - P(A)] x [1 - P(B)]
= (1- 0.67)(1-0.6)
= 0.33 x 0.40
= 0.132
P ( at least one of them will be alive)
= 1 - 0.132
= 0.868.
Answer : B
Question: A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
A.21 (1/36)kmph
B.21 (1/3)kmph
C.21 (8/3)kmph
D.27 (1/3)kmph
Answer: B.21 (1/3)kmph
Explanation: Let the total distance be x km
total time taken = (x/4)/16 + (3x/4)/24
= x/64 + x/32 = 3x/64
Average speed = x/(3x/64)
= 64/3kmph
= 21 (1/3)kmph.
Answer: B
Question: A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %?
A.40%
B.45%
C.50%
D.60%
Answer: C.50%
Explanation: Here, selling price of 10 m cloth is obtained as profit.
Profit of 10 m cloth = (S.P. of 30 m cloth) – (C.P. of 30 m cloth)
Selling price of 20 m cloth = Selling Price of 30 m of cloth
Let cost of each metre be Rs. 100.
Therefore, cost price of 20 m cloth = Rs. 2000 and S.P. of 20 m cloth = Rs. Rs. 3000
Profit% = 10 × 100 = 50%
20
Profit of 50% was made by the merchant.
C
Question: Look at this series: 17, 24, 21, 28, ... What number should come next?
A.33
B.28
C.32
D.35
Answer: C.32
Explanation: Explanation:
This is a simple alternating addition and subtraction series. In the first pattern, 7 is added; in the second, 3 is subtracted.
Answer: Option C
Question: How many seconds will a train 100 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph?
A.22 sec
B.27 sec
C.30 sec
D.24 sec
Answer: C.30 sec
Explanation: Explanation:
D = 100 + 200 = 300
S = 36 * 5/18 = 10 mps
T = 300/10 = 10 sec
Answer: Option C
Question: A train having a length of 270 meter is running at the speed of 120 kmph . It crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A.320 m
B.190 m
C.210 m
D.230 m
Answer: D.230 m
Explanation: Explanation:
Relative speed = 120+80 = 200 kmph = 200×10/36 m/s = 500/9 m/s
time = 9s
Total distance covered = 270 + x where x is the length of other train
(270+x)/9 = 500/9
=> 270+x = 500
=> x = 500-270 = 230 meter
Answer: Option D
Question: A train leaves Mumabai at 9 am at a speed of 30 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 60 kmph. When and at what distance from Mumbai do the two trains meet?
A.27
B.279
C.60
D.278
Answer: C.60
Explanation: When the second train leaves Mumbai the first train covers 30 * 1 = 30 km
So, the distance between first train and second train is 30 km at 10.00am
Time taken by the trains to meet
= Distance / relative speed = 30 / (60 -30) = 1 hours
So, the two trains meet at 11 a.m. The two trains meet 1 * 60 = 60 km away from Mumbai.
Answer:C
Question: Fifteen coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
A.2^9
B.2^14
C.3 * 2^8
D.3 * 2^9
Answer: B.2^14
Explanation: Fix the third coin as H. The remaining 14 coins have 2^14 outcomes.
B
Question: How many times in a day, the hands of a clock are straight?
A.22
B.24
C.44
D.48
Answer: C.44
Explanation: EXPLANATION
In 12 hours, the hands coincide or are in opposite direction 22 times.
In 24 hours, the hands coincide or are in opposite direction 44 times a day.
Answer C
Question: Mr. Mukhambo has two numbers and say that their difference, their sum and their product are to one another as 1:7:24. Mukhambo wants to find out whether you can get him the product of those two numbers:
A.24
B.6
C.48
D.12
Answer: C.48
Explanation: let the numbers are x and y so according to the given condition
x+y = 7k
x-y = k
and x*y = 24k
on solving 1st and 2nd equations we get x = 4k and y = 3k
so 4k*3k = 24k
or k = 2
so product of the numbers = 12(k^2) = 48
ANSWER:C
Question: Average age of students of an adult school is 42 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
A.1200
B.120
C.360
D.200
Answer: D.200
Explanation: Explanation :
Let the original no. of students be x.
According to situation, 42x + 120*32 = (x + 120)36 ⇒ x = 80
So, Required no. of students after joining the new students
= x + 120 = 200.
Answer : D
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 19. The larger of the two numbers is:
A.437
B.299
C.322
D.345
Answer: A.437
Explanation: Clearly, the numbers are (23 x 13) and (23 x 19).
Larger number = (23 x 19) = 437. Answer: Option A
Question: A class of 20 students took a science test. 10 students had an average (arithmetic mean) score of 80. The other students had an average score of 60. What is the average score of the whole class?
A.70
B.60
C.55
D.65
Answer: A.70
Explanation: hear, 10 students had average score of 80, so, 80X10=800
and 10 students had average score of 60, so, 60X10=600
total no of student are 20
(800+600)/20= 70
correct ans is A
Question: Sum of the squares of three numbers is 116 and the sum of their products taken two at a time is 70. Find the sum?
A.14
B.15
C.16
D.17
Answer: C.16
Explanation: (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 116 + 2* 70
a + b + c = √256 = 16
C
Question: The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
A.22
B.88
C.27
D.99
Answer: C.27
Explanation: Explanation:
Other side=\inline {\color{Black}\sqrt{\frac{225}{4}-\frac{81}{4}}ft}
=\inline {\color{Black}\sqrt{\frac{144}{4}}ft}
=\inline {\color{Black}6ft}
Area of closest =(6 * 4.5) sq.ft =27 sq.ft
Answer: C) 27
Question: A snail has fallen in a 10 feet deep hole. It started climbing up - every day it
would climb 3 feet up but then it would fall 2 feet down while sleeping during
the night. After how many days will the snail climb out of the hole?
A.2
B.6
C.7
D.8
Answer: D.8
Explanation: Each 24 hour period the snail will climb up only 1 ft. It
does that for 7 days, but on the 8th day it goes out of the hole before
he falls asleep. Answer: 8 days.
corect answer D
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1350 as rent for parking his cars, what is the total rent paid by all the four agencies?
A.2388
B.7380
C.1279
D.6150
Answer: B.7380
Explanation: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1350
45k = 1350 => k = 30
246k = 246(30) = Rs. 7380
Thus the total rent paid by all the four agencies is Rs. 7380.
Answer: B
Question: Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.
A.25
B.45
C.35
D.15
Answer: B.45
Explanation: Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.
495 = 32 x 5 x 11, 900 = 22 x 32 x 52, 1665 = 32 x 5 x 37.
Therefore, H.C.F. = 32 x 5 = 45.
Hence, required length = 45 cm.
Answer is B.
Question: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 42 liters of drink A to convert it to drink B?
A.7
B.9
C.12
D.14
Answer: D.14
Explanation: In 42 liters of drink A, there are 24 liters of milk and 18 liters of juice.
With 24 liters of milk, we need a total of 32 liters of juice to make drink B.
We need to add 14 liters of juice.
The answer is D.
Question: 6/8 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is
A.28%
B.54%
C.45%
D.72%
Answer: B.54%
Explanation: Total population = 80 (assume).
6/8*80=60 people from Montague.
2/8*80=20 people from Capulet.
0.2*60=12 people from Montague support Juliet.
0.7*20=14 people from Capulet support Juliet.
The probability that a Juliet supporter chosen at random resides in Capulet is 14/(12+14)=~54
Answer: B.
Question: A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be A's share in the total profit of Rs.27,000 earned at the end of 2 years from the starting of the business?
A.Rs.7500
B.Rs.9000
C.Rs.9500
D.Rs.10,800
Answer: D.Rs.10,800
Explanation: Solution
A : B : C	=(20000×24):(15000×24):(20000×18)
=4 :3 :3
A's share	=Rs.(27000×4/10)
= Rs.10800.
Answer D
Question: The selling price of 40 apples is equal to cost price of 35 apples. Find the profit or loss obtained.
A.Gain of 5.5 %
B.Gain of 12.5 %
C.Loss of 5.5 %
D.Loss of 12.5 %
Answer: D.Loss of 12.5 %
Explanation: Explanation:
Let C.P. of each apple be Re 1/-.
Therefore,
C.P. of 40 apples = Rs. 40
S.P. of 40 apples = Rs. 35
C.P. of 40 apples > S.P. of 40 apples
Loss = 40 – 35 = Rs. 5
Loss% =	Loss/c.p.	×100
Loss% =	5/40	×100
Loss% = 12.5%
ANSWER IS D
Question: A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25%, what is the total capacity of the pool in gallons?
A.1875
B.1250
C.1300
D.1600
Answer: A.1875
Explanation: 300 gallons of water increases capacity by 25% that means
25% is 300 gallons, so 100% would be = 300*100/25= 1200 gallons
Now 1200 +300 gallons is 80% capacity of tank.
so 100% capacity would be= 1500 *100/80= 1875
A is the answer
Question: I chose a number and divide it by 9. Then I subtracted 100 from the result and got 10. What was the number I chose?
A.600
B.700
C.990
D.900
Answer: C.990
Explanation: Solution:
Let x be the number I chose, then
x/9âˆ’100=10
x/9=110
x=990
Answer C
Question: The diagonals of a rhombus are 25 cm and 30 cm. Find its area?
A.250
B.300
C.375
D.550
Answer: C.375
Explanation: Area=0.5 x 25 x 30
=375 cmÂ²
Answer: C
Question: A lady goes to a bank near her newly possessed home. The bank's policies are weird, but she decides to open the account anyhow with a certain amount. The policy is that at the end of each year, the total amount gets doubled and Rs. 65 is deducted from that amount. After 6 years, when the lady checks her account, the total amount is 0.
Can you find out what was the original amount that she had deposited in the bank?
A.63.984375
B.63.984376
C.63.984377
D.63.984378
Answer: A.63.984375
Explanation: Explanation:
This question is hypothetical because you cannot transact in fractions in bank account. The following is the solution:
Year	Amount	Interest and Deduction
Start	63.984375
Y1 End	62.968750	63.984375 * 2 - 65
Y2 End	60.937500	62.96875* 2 - 65
Y3 End	56.875000	60.9375 * 2 - 65
Y4 End	48.750000	56.875 * 2 - 65
Y5 End	32.500000	48.75 * 2 - 65
Y6 End	0.000000	32.5 * 2 - 65 = 0
Answer A
Question: A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
A.510
B.540
C.500
D.520
Answer: C.500
Explanation: Speed = 78 * 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (800 + x)/60 = 65/3
x = 500 m.
Answer: Option C
Question: Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 40 km apart, if they walk in the same direction?
A.5hours
B.40hours
C.8hours
D.20hours
Answer: D.20hours
Explanation: To be 2km apart they take 1 hour
To be 10km apart they take = 1/2 * 40 =20 hours
Answer is D
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years?
A.272.22
B.128.29
C.306.04
D.198.39
Answer: C.306.04
Explanation: Explanation:
A = 5000(51/50)3
= 5306.04
5000
-----------
306.04
Answer:C
Question: In a group of ducks and buffaloes, the total number of legs are 24 more than twice the number of heads. Find the total number of buffaloes.
A.8
B.10
C.12
D.24
Answer: C.12
Explanation: Explanation:
Let the number of buffaloes be x and the number of ducks be y
=> 4x + 2y = 2 (x + y) + 24
=> 2x = 24 => x = 12
Option C
Question: A speed of 14 metres per second is the same as
A.28 km.hr
B.46.6 km/hr
C.50.4 km/hr
D.70 km/hr
Answer: C.50.4 km/hr
Explanation: Solution
Speed	= 14 m / sec
=(14 x 18 / 5)km/hr
= 50.4 km/hr
Answer C
Question: An equity analyst needs to select 2 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 2 picks?
A.20
B.30
C.10
D.40
Answer: A.20
Explanation: Number of ways of choosing 2 stocks = 5C2
Number of ways of ranking the chosen stocks = 2!
Hence total ways of chosing and ranking = 5C2 * 2! = 20
Correct Option: A
Question: The average age 12 members of a committee are the same as it was 4 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
A.20 years
B.21 years
C.48 years
D.29 years
Answer: C.48 years
Explanation: 12 * 4 = 48 years
Answer:C
Question: A train 150 m long is running with a speed of 98 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going
A.5 sec
B.6 sec
C.7 sec
D.8 sec
Answer: B.6 sec
Explanation: Explanation:
Speed of the train relative to man = (98 - 8) kmph
= (90× 5/18) m/sec = 25 m/sec
Time taken by the train to cross the man I
= Time taken by It to cover 150 m at 25m / sec = 150 ×1/25 sec = 6sec
Answer: Option B
Question: If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
A.20%
B.76%
C.26%
D.18%
Answer: A.20%
Explanation: Explanation:
Let C.P. of each article be Re. 1.
Then, C.P. of 50 articles = Rs. 50;
S.P. of 50 articles = Rs. 40.
Loss % = 10/50 * 100 = 20%
Answer: A
Question: 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 15% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase?
A.31
B.25
C.35
D.45
Answer: A.31
Explanation: Out of 300 - 180 purchased for less than 100$120 for more
Out of 300 - 120 responded as satisfied and 180 responded disatisfied
Out of 180 ( Purchased less than 100$) - 15% = 27 responded as satisfied, So remaining Satisfied are 120 - 27 = 93
so 93 is what percentage of 300 - 31%
So the answer should be A
Question: If p≠q and p·q≠0, which of the following may be true?
A.(p+q)(p-q)=0
B.p=q
C.p^2=q^2
D.p.q=0
Answer: A.(p+q)(p-q)=0
Explanation: except A all answer are not as per qestion
A
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
A.32
B.28
C.299
D.277
Answer: A.32
Explanation: S = (100 + 300)/45 = 400/45 * 18/5 = 32
Answer: A
Question: What is the square root of 151,321?
A.476
B.389
C.497
D.411
Answer: B.389
Explanation: 1) Checking the last digits in the answer options A, C, E are out since last digit of the square is known to be 1.
2) B = 389^2 and D = 411^2
B = (400-11)^2 and D = (400 + 11)^2
Since we need the answer less than 160000 => D is out.
Thus we have B as the ans.
Question: The ratio of pens to pencils is 5 to 6. There are 9 more pencils than pens. How many pencils are there?
A.36
B.42
C.48
D.54
Answer: D.54
Explanation: Let the number of pens be 5x and the number of pencils be 6x.
6x - 5x = 9
x = 9
The number of pencils is 54.
The answer is D.
Question: In what ratio must rice of Rs.25 per kg be mixed with rice of Rs.12 per kg so that cost of mixture is Rs.20 per kg?
A.8:5
B.5:8
C.20:25
D.12:20
Answer: A.8:5
Explanation: (20-12)/(25-20=8/5=8:5
ANSWER:A
Question: A military camp has a food reserve for 250 person for 40 days. If after 10 days 50 more person are added to the camp, find the number of days the reserve will last for?
A.20
B.36
C.25
D.42
Answer: C.25
Explanation: Explanation :
As the camp has a reserve for 250 person that can last for 40 days, after 10 days the reserve left for 250 person is for 30 days. Now 50 more person are added in the camp.
Hence, the food reserve for 300 person will last for:
250:300::x:30 ..(it is an indirect proportion as less men means more days)
x = (250*30)/300
x = 25 days
Answer : C
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is?
A.5/8
B.5/9
C.5/7
D.5/5
Answer: B.5/9
Explanation: No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.
Thus 6 * 5 * 4 = 120 favourable cases.
The total cases are 6 * 6 * 6 = 216.
The probability = 120/216 = 5/9.
Answer: B
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
A.2400
B.299
C.277
D.268
Answer: A.2400
Explanation: 1200 * 12: x * 9 = 2:3
x = 2400
Answer: A
Question: When certain number of marbles are divided into groups of 4, one marble remained. When the same number of marbles are divided into groups of 7 and 12 then 4, 9 marbles remained. If the total marbles are less than 10,000 then find the maximum possible number of marbles.
A.9992
B.9993
C.9994
D.9995
Answer: B.9993
Explanation: Ans: In this case the difference between the remainders and divisors is constant. i.e., 3. so N = K (LCM (4, 7, 12) - 3 = 84K - 3. Where K = natural number.
But we know that 84K - 3 < 10,000 ⇒⇒ 84 x 119 - 3 < 10,000 ⇒⇒ 9996 - 3 = 9993
Answer B
Question: What is the least value of x. So that 23x59 is divisible by 3.
A.2
B.0
C.1
D.3
Answer: A.2
Explanation: Explanation:
The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 3 + x + 5 + 9 = 19 + x
Least value of x may be 2
Therefore 19 + 2 = 21 is divisible by 3.
Answer: Option A
Question: Sheik Abdullah decides to buy 3 new cars for his collection. If he has to choose between eight different cars, what is the number of purchasing possibilities he has?
A.6
B.28
C.56
D.112
Answer: C.56
Explanation: Sheik Abdullah decides to buy 3 new cars for his collection. He has to choose between eight different cars
8C3= 8*7*6/(3*2*1) = 56 ANS:C
Question: The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
A.33
B.37
C.18
D.99
Answer: C.18
Explanation: Explanation:
Let the price of the mixed variety be Rs. x per kg. By the rule of alligation, we have :
Cost of 1 kg of type 1 rice Cost of 1 kg of type 2 rice
{\color{Blue} \therefore } (20-x)/(x-15) = 2/3 60 - 3x = 2x - 30
5x = 90 x = 18.
Answer: C) Rs. 18
Question: A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 5 tons?
A.12
B.24
C.36
D.48
Answer: B.24
Explanation: The weight of one car and one truck is 5.75 tons.
70/5.75 = 12 plus a remainder
The ferry could carry 12 cars and 12 trucks for a total of 24 vehicles.
The answer is B.
Question: Two trains 140m and 160m long run at the speed of 60kmph and 40kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
A.5.6sec
B.8.9sec
C.10.8sec
D.12.6sec
Answer: C.10.8sec
Explanation: Relative speed = 60+40 = 100kmph * 5/18 = 250/9 m/s
Distance covered in crossing each other = 140+160 = 300m
Required time = 300*9/250 = 54/5 = 10.8sec
Answer is C
Question: If a and b are odd integers, which of the following is an even integer?
A.a+ab+b
B.a+ab+2b
C.4a+ab+2b
D.3a+ab+5b
Answer: B.a+ab+2b
Explanation: a+ab+2b=odd+odd+even=even
The answer is B.
Question: When a merchant imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $101.50, what was the total value of the item?
A.$1,850
B.$2,450
C.$2,750
D.$3,150
Answer: B.$2,450
Explanation: Let x be the value in excess of $1,000.
0.07x = 101.5
x = $1,450
The total value was $1,450 + $1,000 = $2,450.
The answer is B.
Question: The average (arithmetic mean) of 10, 20, and 60 is 5 more than the average of 10, 40, and what number?
A.25
B.60
C.50
D.30
Answer: A.25
Explanation: a1 = 90/3 = 30
a2 = a1 -5 = 25
sum of second list = 25*3 = 75
therefore the number = 75 -50 = 25
A
Question: Find the slope of the line perpendicular to the line y = (1/4)x - 7
A.1
B.2
C.-4
D.4
Answer: C.-4
Explanation: Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 4. If m is the slope of the line perpendicular to the given line, then
m × (1/4) = -1
Solve for m
m = - 4
correct answer C) -4
Question: Car A is 30 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B?
A.1.5
B.4.5
C.4.75
D.3.75
Answer: C.4.75
Explanation: Relative speed of car A is 58-50=8 miles per hour, to catch up 30 miles and drive 8 miles ahead so to drive 38 miles it'll need 38/8=3.5 hours.
Answer: C
Question: The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
A.2
B.8
C.9
D.6
Answer: B.8
Explanation: 100 * 100 = 10000
80 * 115 = 9200
-----------
10000-----------800
100-----------? => 8% decrease
Answer:B