RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Tough and Tricky questions: Probability.
Medical analysts predict that half of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be killed if infected and not treated for three full days?
A.16/81
B.7/8
C.2/3
D.19/27
Answer: B.7/8
Explanation: At the end of each day we will have 1/2 alive. So after 3 days we will have (1/2)^3 people alive. Therefore, fraction of dead people will be 1-(1/2)^3=7/8.
The correct answer is B.
Question: If the mean of numbers 28, x, 50, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
A.76.5
B.58
C.39.8
D.90.3
Answer: A.76.5
Explanation: Mean = (Sum of all no. in series)/(no. in series)
M1 = 62 = (X+28+50+78+104)/(5)
62 x 5 = 260 + X
X = 50
Therefore mean of 2nd series
M2 = (X+48+62+98+124)/5
M2 = 76.5
Answer = A
Question: 10 men can prepare 20 toys in 12 days working 15 hours a day. Then in how many days can 24 men prepare 32 toys working 20 hrs a day?
A.4 days
B.10 days
C.20 days
D.25 days
Answer: A.4 days
Explanation: Explanation:
10*12*15/20 = 24*20*x/32
X=4
Answer: Option A
Question: Five bells begin to toll together at 12:00 noon and toll respectively at intervals of 4, 5, 6, 8, and 9. seconds. Not including the toll at 12:00 noon, how many more times will all five bells toll together before 3:01 pm (i.e. three hours and one minute later)?
A.25
B.30
C.35
D.40
Answer: B.30
Explanation: The least common multiple is 2*2*2*3*3*5=360.
10860 seconds / 120 = 30 + remainder.
The answer is B.
Question: The curved surface of a sphere is 64 pi cm2. Find its radius?
A.1 cm
B.4 cm
C.2 cm
D.3 cm
Answer: B.4 cm
Explanation: 4 Ï€r2 = 64 => r = 4
ANSWER B
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is :
A.15
B.30
C.45
D.60
Answer: A.15
Explanation: Sol.
Let the three integers be x, x + 2 and x + 4. Then, 3x = 2(x + 4) + 3 = ⇔ x = 11.
∴ Third integer = x + 4 =15.
Answer A
Question: In what time will a train 120 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5 sec
B.3 sec
C.8.9 sec
D.6.9 sec
Answer: B.3 sec
Explanation: Speed = 144 * 5/18
= 40 m/sec
Time taken = 120/40
= 3 sec.
Answer: B
Question: The average score of a cricketer in 2 matches is 27 and in other 3 matches is 32. Then find the average score in all the 5 matches?
A.25
B.27
C.30
D.35
Answer: C.30
Explanation: Average in 5 matches = (2*27 + 3*32)/2+3 = 54+96 / 5 = 30
Answer is C
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
A.84%
B.94%
C.65%
D.64%
Answer: D.64%
Explanation: r = 3 πr2 = 9
r = 5 πr2 = 25
25 π – 16 π
100 ---- ? => 64%
Answer:D
Question: A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.07. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fifth day it is overdue?
A.$0.60
B.$0.70
C.$0.86
D.$0.90
Answer: C.$0.86
Explanation: 1st day fine - 0.07
2nd day fine - 0.07*2 = 0.14 (as doubling gives lower value)
3rd day fine - 0.14*2 = 0.28 (as doubling gives lower value)
4rd day fine - 0.28*2 = 0.56 (as doubling gives lower value)
5th day fine - 0.56 + 0.3 = 0.86 (as doubling gives higher value we add 0.3 this time)
Answer: C.
Question: (2^2+4^2+6^2+.....+20^2)=?
A.770
B.1155
C.1540
D.385x385
Answer: C.1540
Explanation: =(1x2)^2+(2x2)^2,+(2x3)^3+......(2x10)^2
=2^2 x (1^2+2^2+3^2+.......+10^2)
formula is =1/6 n(n+1)(2n+1)
=(4x1/6x10x11x21)
=(4x5x77)=1540
Answer is C
Question: How many three digits numbers can be formed by using the digits 1,2,3,4,5.
A.255
B.135
C.225
D.125
Answer: D.125
Explanation: We have to determine the total number of three digits numbers formed by using the digits 1,2,3,4,5. Clearly the repetition of digits allowed.Units place can be filled by any of the digits in 5 ways. Simillarly each one of the tens and hundreds place can be filled in 5 ways. Total number of required number =5x5x5 =125 Answer : D
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
A.1/8
B.1/7
C.1/3
D.1/5
Answer: B.1/7
Explanation: A leap year has 52 weeks and two days
Total number of cases = 7
Number of favourable cases = 1
i.e., {Saturday, Sunday}
Required Probability = 1/7
Answer: B
Question: If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 3.
A.8
B.5
C.11
D.3
Answer: D.3
Explanation: 6 * 15 * 3 = (√(6 + 2)(15 + 3) )/ (3 + 1)
= (√8 * 18) / 4
= (√144) / 4
= 12 / 4 = 3.
Answer is D.
Question: A train 125 m long passes a man, running at 7 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
A.35 km/hr
B.50 km/hr
C.45 km/hr
D.52 km/hr
Answer: D.52 km/hr
Explanation: Speed of the train relative to man
= (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed
= (x - 7) km/hr. x - 7 = 45 ==> x = 52 km/hr.
Answer: D
Question: A man's speed with the current is 20 kmph and speed of the current is 2 kmph. The Man's speed
against the current will be
A.16 kmph
B.12 kmph
C.14 kmph
D.17 kmph
Answer: A.16 kmph
Explanation: Explanation:
Speed with current is 20,
speed of the man + It is speed of the current
Speed in sƟll water = 20 - 2 = 18
Now speed against the current will be
speed of the man - speed of the current
= 18 - 2 = 16 kmph
Answer: A
Question: A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
A.33.8
B.33.5
C.33.3
D.33.9
Answer: C.33.3
Explanation: Let B = 100
A = 50
C * (150/100) = 50
3C = 100
C = 33.3 then 'C' Cheapest
Answer:C
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 150 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.28 sec
B.16 sec
C.39 sec
D.18 sec
Answer: C.39 sec
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 150 = 390 m.
Time taken = 390/10 = 39 sec.
Answer:C
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 3 kg more than Peter. Together the three of them picked 27 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?
A.6, 9 and 12
B.12, 9 and 6
C.9, 6 and 12
D.12, 6 and 9
Answer: D.12, 6 and 9
Explanation: M = 2P
L = P+3
M + P + L = 27
2P + P + (P+3) = 27
P = 6, M = 12, L = 9
Therefore, Mary, Peter, and Lucy picked 12, 6, and 9 kg, respectively.
The answer is D.
Question: Two members of a club are to be selected to represent the club at a national meeting. if there are 55 different possible selections of the 2 members, how many members does the club have?
A.11
B.27
C.40
D.57
Answer: A.11
Explanation: I have done this problem by substituting numbers
We have n!/2!(n-2)! = 55
or n(n-1)/2 = 110 or n^2-n -110 =0 or n^2-11n+10n-110 =0 or n(n-11) +10(n-11) =0 or (n-11)(n+10)=0
n=11 satisfies the equation
A
Question: The ratio of 2 numbers is 5:2 and their H.C.F. is 20. Their L.C.M. is ?
A.400
B.300
C.200
D.100
Answer: C.200
Explanation: Let the numbers be 5x and 2x
Their H.C.F. = 20
so the numbers are 5*20 , 2*20 = 100, 40
L.C.M. = 200
Answer is C
Question: If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
A.2:5
B.2:4
C.3:0
D.2:1
Answer: D.2:1
Explanation: 5M + 2B = 4(1M + 1B)
5M + 2B = 4M + 4B
1M = 2B
The required ratio of work done by a man and a boy = 2:1 .Answer: D
Question: The effective annual rate of interest corresponding to a nominal rate of 8% per annum payable half-yearly is?
A.6.06%
B.8.16%
C.6.08%
D.6.09%
Answer: B.8.16%
Explanation: Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 4/100)2] = Rs. 108.16 Effective rate = (108.16 - 100) =8.16%
ANSWER:B
Question: If x is real, find the maximum value of the expression -2x^2 + 5x + 7.
A.6.125
B.8.125
C.10.125
D.12.125
Answer: C.10.125
Explanation: This is an equation of a downward facing parabola.
The maximum value is the top point of the parabola.
-2x^2+5x+7 = (-2x+7)(x+1)
The roots are 7/2 and -1.
The maximum value must be when x is halfway between these two points.
x = 1.25
The maximum value is -2(1.25)^2+5(1.25)+7 = 10.125
The answer is C.
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $540 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
A.23,000
B.24,500
C.25,500
D.26,500
Answer: A.23,000
Explanation: Let the weekly sales of both = x
540+(x−1000)8/100=10/100x
x = 23000
ANSWER:A
Question: A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 90 km/hr. When will he overtake the thief?
A.6 p.m
B.9 p.m
C.4 p.m
D.2 p.m
Answer: C.4 p.m
Explanation: :
Suppose the thief is overtaken x hrs after 2.30 p.m.
Then, distance covered by the owner in (x - 1/2) hrs.
60x = 90(x - 1/2) => x = 3/2 hrs.
So, the thief is overtaken at 4 p.m.'
Answer: C
Question: REDO’s manufacturing costs for sets of horseshoes include a $10,500 initial outlay, and $30per set. They can sell the sets $60. If profit is revenue from sales minus manufacturing costs, and the company producessells 1000 sets of horseshoes, what was their profit?
A.$19500
B.$15500
C.$29500
D.$39500
Answer: A.$19500
Explanation: Total Manufacturing cost = 10500+1000*30 = 40500
Total Selling cost = 1000*60= 60000
Profit = 60000-40500 = 19500
Answer : A
Question: The sum of ages of 5 children born at the intervals of 3 years each is 65 years. What is the age of the youngest child?
A.3 years
B.4 years
C.6 years
D.7 years
Answer: D.7 years
Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 65
5x = 35
x = 7.
Age of the youngest child = x = 7 years.
D)
Question: A farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plants are intelligent and when the farmer plucks these numbers of roses, the next day 37 or 36 or 9 or 18 new roses bloom in the garden respectively. On Monday, he counts 189 roses in the garden. He plucks the roses as per his plan on consecutive days and the new roses bloom as per intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?
A.6
B.7
C.6
D.4
Answer: D.4
Explanation: If he plucks 23, then only 18 grows the next day. This means total roses get decreases by 5. So after n days assume the number of roses got decreased 185 where n = 37, then 4 roses left.
Answer:D
Question: A code is to be made by arranging 6 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B and one of the letters used will be the letter C . If there is only one way to present each letter, how many different codes are possible?
A.230
B.360
C.420
D.840
Answer: B.360
Explanation: we have 6 letters out of which 3 are of one kind, 2 are of another kind..
so total ways = 6!/2!1!=360
ans B
Question: In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards W will he need to gain this Sunday if he wants to keep his season average above 100 yards?
A.101
B.116
C.130
D.W=131
Answer: D.W=131
Explanation: Sorry the answer W=141 is D.
Question: Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
A.2:3
B.1:1
C.3:4
D.4:3
Answer: D.4:3
Explanation: 5/100A+4/100B = 2/3(6/100A+8/100B)
=>1/20A+1/25B= 1/25A+4/75B
=> (1/20-1/25)B= 1/25A+4/75B
(1/20-1/25)A = (4/75-1/25)B
1/100A=1/75B
A/B=100/75=4/3
REQ RATIO = 4:3
ANSWER D
Question: A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number.
A.81
B.90
C.100
D.61
Answer: A.81
Explanation: Let the ten's digit be x. Then, unit's digit = (9 - x).
Number = l0x + (9 - x) = 9x + 9.
Number obtained by reversing the digits = 10 (9 - x) + x = 90 - 9x.
therefore, (9x + 9) - 63 = 90 - 9x => 18x = 144 => x = 8.
So, ten's digit = 8 and unit's digit = 1.
Hence, the required number is 81.
Answer A)81.
Question: The number 219 can be written as sum of the squares of 3 different positive integers. What is the difference of these 2 different larger integers?
A.6
B.2
C.3
D.5
Answer: A.6
Explanation: sum of the squares of 3 different positive integers = 219
13^2 + 7^2 + 1^2 = 219
now,
difference of these 2 different larger integers = 13 - 7 = 6
Ans - A
Question: A car manufacturer produces only red and blue TCS Models which come out of the final testing area at random. What are the odds that five consecutive cars of same color will come through the test area at any one time?
A.1 in 16
B.1 in 125
C.1 in 32
D.1 in 25
Answer: A.1 in 16
Explanation: p(5 consecutive cars of same color)=p(5 red)+p(5 blue)
=1/2^5+1/2^5
=1/16
ANSWER:A
Question: In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (2,-2), (2, 6), (14, 2), (14,-5)?
A.90
B.95
C.104
D.117
Answer: A.90
Explanation: By graphing the points, we can see that this figure is a trapezoid. A trapezoid is any quadrilateral that has one set of parallel sides, and the formula for the area of a trapezoid is:
Area = (1/2) × (Base 1 + Base 2) × (Height), where the bases are the parallel sides.
We can now determine the area of the quadrilateral:
Area = 1/2 × (8 + 7) × 12 = 90.
The answer is A.
Question: Find the income derived from 88 shares of $ 25 each at 5 premium,
brokerage being (1/4) per share and the rate of dividend being 7(1/2)% per annum. Also, find the rate of interest on the investment.
A.6.2%
B.7.5%
C.6.5%
D.8.2%
Answer: A.6.2%
Explanation: Cost of 1 share = $ [25+5+1/4)] = $ (121/4).
Cost of 88 shares = $[(121/4)*88] = $ 2662.
Therefore Investment made = $ 2662.
Face value of 88 shares = $ (88*25) = $ 2200.
Dividend on $ 100 = (15/2).
Dividend on $ 2200 = $ [(15/20*(1/100)*2200] = $ 165.
 Income derived = $ 165.
Rate of interest on investment = [(165/2662)*100] = 6.2 %.
Answer A.
Question: In 1 kg mixture of iron and manganese 20% of manganese. How much iron should be added so that
the proportion of manganese becomes 10%
A.1.5 Kg
B.2 Kg
C..5 Kg
D.1 Kg
Answer: D.1 Kg
Explanation: Explanation :
By the rule of alligation, we have
Percentage concentration of
manganese in the mixture : 20 Percentage concentration of
manganese in pure iron : 0
Percentage concentration of manganese in the final mixture
10
10 - 0 = 10 20 - 10 = 10
=> Quantity of the mixture : Quantity of iron = 10 : 10 = 1 : 1
Given that Quantity of the mixture = 1 Kg
Hence Quantity of iron to be added = 1 Kg
Answer : Option D
Question: A fair white coin with sides marked heads and tails is to be tossed eight times. What is the probability that the coin will land tails side up more than five times?
A.A)37/256
B.B)56/256
C.C)65/256
D.D)70/256
Answer: A.A)37/256
Explanation: Landing on tails more than 5 times means tails has to hit 6, 7 or 8 times.
8!/6!2! = 7*4 = 28
8!/7!1! = 8
8!/8! = 1
28 + 8 + 1 = 37/256
ans:A
Question: The owner of a local jewelry store hired four watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/4 of the diamonds he had then, and 4 more besides. He escaped with 4 diamonds. How many did he steal originally?
A.4384
B.3384
C.2384
D.None of these
Answer: C.2384
Explanation: Explanation :
Since, thief escaped with 4 diamonds,
Before 4th watchman, he had ( 4 + 4 ) x 4 = 32 diamonds.
Before 3rd watchman, he had (32+ 4 ) x 4 = 144 diamonds.
Before 2nd watchman, he had ( 144 + 4 ) x 4 = 592 diamonds.
Before 1st watchman, he had ( 592 + 4 ) x 4 = 2384 diamonds.
Answer : C
Question: 5 + 5 + 5 + 5 +5 + 4 x 5^2 + 4 x 5^3 + 4 x 5^4 + 4 x 5^5 + 4 x 5^6 + 4 x 5^7 + 4 x 5^8 + 4 x 5^9 =
A. 5^20
B. 5^18
C. 5^14
D. 5^10
Answer: D. 5^10
Explanation: Let's see that 5 + 5 + 5 + 5 +5 is 5^2, then: 5^2 + 4 x 5^2 becomes 5 x 5^2 that is 5^3. You follow with the next element: 5^3 + 4 x 5^3 is equal to 5 x 5^3 that is 5^4. Then is assumed right before 4 x 5^9: 5^9 + 4 x 5^9 becomes 5 x 5^9 that is 5^10. Thus, the correct answer is the option D, 5^10.
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 15% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
A.$113
B.b $115
C.c $125
D.d $130
Answer: A.$113
Explanation: Purchase cost = 600/1500= $ 0.4
25% above the cost per head = (125/100)*0.4= $ 0.5
2/3 of the heads were sold means 2/3*1500 =1000 ,Selling amount for 1000 cabbage = 1000 * 0.5 = $ 500
Remaining were sold at a price equal to 15% less than the price each head sold for on the day before i.e , (85/100)*0.5 = $ 0.425
Hence selling cost for the remaining cabbage = 500 * 0.425 = $ 212.5
Total selling cost = 500 + 213 = $ 713
Gross profit = $ 713 - $ 600 = $ 113
Hence Answer is A.
Question: A rectangular park 60 m long and 40 m wide has concrete crossroads running in the middle of the park and rest of the park has been used as a lawn.if the area of the lawn is 2109 sq.m,then what is the width of the road.
A.338
B.278
C.260
D.278
Answer: B.278
Explanation: Answer:B
Question: If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?
A.4x+6y
B.x+y+4
C.X+2
D.4X-9Y
Answer: D.4X-9Y
Explanation: Explanation:
By hit and trial, we put x = 5 and y = 1 so that (3x + 7y) = (3 x 5 + 7 x 1) = 22, which is divisible by 11.
(4x + 6y) = ( 4 x 5 + 6 x 1) = 26, which is not divisible by 11;
(x + y + 4 ) = (5 + 1 + 4) = 10, which is not divisible by 11;
(9x + 4y) = (9 x 5 + 4 x 1) = 49, which is not divisible by 11;
(4x - 9y) = (4 x 5 - 9 x 1) = 11, which is divisible by 11.
ANSWER:D
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
A.76 Kmph
B.68 Kmph
C.86 Kmph
D.45 Kmph
Answer: B.68 Kmph
Explanation: Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
Answer:B
Question: Mike, Jim and Bob are all professional fisherman. Mike can catch 18 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
A.84.
B.72.
C.86.
D.98.
Answer: A.84.
Explanation: All of them catch fishes in relation to number 18....
2/3*18+2*18+2*1.5*18*2/3=84
Answer is A
Question: Two athletes starting from same place walk in the same direction at a rate of 8 km/hr and 6 km/hr. What time will they take to be 10 km apart ?
A.10 hours
B.15 hours
C.5 hours
D.4 hours
Answer: C.5 hours
Explanation: Explanation :
The relative speed of athletes = 8-6 = 2 km/hr.
Distance between them = 10 km
Time=10/2 = 5 hours
Answer : C
Question: Using all the letters of the word "NOKIAS", how many words can be formed, which begin with N and end with S?
A.24
B.80
C.160
D.80
Answer: A.24
Explanation: There are five letters in the given word.
Consider 6 blanks ....
The first blank and last blank must be filled with N and S all the remaining three blanks can be filled with the remaining 5 letters in 5! ways.
The number of words = 5! = 120.
Answer: A
Question: Series till 50 terms: 2+3-5 +2+3-5+.
A.3
B.4
C.5
D.6
Answer: A.3
Explanation: 2+3-5 +2+3-5 +2+3-5 +2+3-5 +2+3-5 +2+3-5 +2+3-5 +2+3-5 +2+3-5.........+2+3.
series is repeat +2 +3 -5 continously..
So, till 48th term it will repeat +2+3-5..
49th term = +2
50thterm = +3
ANSWER:A
Question: The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
A.76.5
B.36.5
C.46.5
D.16.5
Answer: B.36.5
Explanation: Explanation:
Correct Sum = (36 * 50 + 48 - 23) = 1825.
Correct mean = = 1825/50 = 36.5
Answer: B
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A.19
B.19.7
C.21
D.23
Answer: B.19.7
Explanation: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
B
Question: A and B together can complete a work in 3 days. They start together but after 2 days,B left the work.If the work is completed after two more days, find the B alone could do the work?
A.8
B.20
C.6
D.21
Answer: C.6
Explanation: A and B(one day work)=1/3 part
(A+B) works 2 days together=2/3 part
Remaining work=1-(2/3) part=1/3 part
1/3 part of the work is completed by A in two days=(1/3)*(1/2)
One day's work of A=1/6 part
One day's work of B=(1/3)-(1/6)=1/6
So,B alone can do the work in 6 days
Answer is option C
Question: Train C and D, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train C left at 4 pm traveling at a speed of 60 miles per hour, and train D left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
A.9:05 pm
B.9:06 pm
C.9:07 pm
D.9:08 pm
Answer: A.9:05 pm
Explanation: First, since C has a headstart then in that 1hr45min or 1.75hrs he travels 105 miles
Then remaining distance to be traveled will be 455 - 105 = 350 miles
Now, using relative rates (105)(t) = 350
This gives 10/3 hours
Now 5.45pm + 10/3 hours gives us 9.05pm
Hence answer is A
Question: Find the average of the series : 312, 162, 132, 142 and 122?
A.298
B.269
C.927
D.174
Answer: D.174
Explanation: Average = (312 + 162 + 132 + 142 + 122)/5 = 870/5 = 174.Answer: D
Question: During one month at a particular restaurant, 1/6 of the burgers sold were veggie burgers and 1/5 of the rest of the burgers sold were double-meat. If x of the burgers sold were double-meat, how many were veggie burgers?
A.x
B.x/2
C.2x/3
D.3x/4
Answer: A.x
Explanation: T/6 - Veggi
(1/5)[T - (T/6)] = double meat = x = 5T/30
=> Veggie = T/6 = 5x/5=x
Answer is A.
Question: In case M is the only individual sewing on committee B, which among the following shouldserve on committee A?
A.V and U
B.V and T
C.U and S
D.N and O
Answer: D.N and O
Explanation: N and O should serve on A
ANSWER:D
Question: When 2/3 of the garments in the shipment were inspected, 15 of the garments passed inspection and the remaining 5 garments failed. How many of the uninspected garments must pass inspection in order that 80 percent of the garments in the shipment pass?
A.10
B.9
C.8
D.7
Answer: B.9
Explanation: B = 9
2/3x= 20
x=30
for 80% approval we need 24 garments approved.
already approved = 15
we need 9 more.
Answer : B
Question: If w<0, which of the following must be true?
A.–100 < w < 100
B.w ≤ –1
C.w ≤ 1
D.w^2 ≥ 1/4
Answer: C.w ≤ 1
Explanation: w is a negative number.
A. –100 < w < 100w can be a negative number less than -100
B. w ≤ –1w can be a fraction, in which case it would be greater than -1
C. w ≤ 1must be true since 1 is positive and w is negative
D. w^2 ≥ 1/4not true if w is a negative fraction like -1/5
E. –100 < w < 0w can be a negative number less than -100=C