RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In western Europe, Z bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?
A.9% of (x/100)
B.14% of (x/100)
C.75% of (x/100)
D.9% of Z
Answer: D.9% of Z
Explanation: Moreover is't question actually asking the the difference between the {(Quantity Produced + Quantity Sold ) Z in 1990 - (Quantity Produced + Quantity Sold ) in 1993}
Though the Quantity sold in both the years is same it actually boils down to (Quantity Produced in 1990 ) in (Quantity Produced in 1993)=D
Question: If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
A.120000
B.228788
C.266891
D.267689
Answer: A.120000
Explanation: X * (105/100) * (105/100) * (105/100) = 138915
X = 138915/1.157625
X = 120000
Answer:A
Question: Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -7 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
A.-7,-7,-7
B.-7,7,7
C.1,1,1
D.-7,49,7
Answer: D.-7,49,7
Explanation: Mean: If all values are multiplied by -7 then their sum will also be multiplied by -7 so Mean will also get -7
Variance:
Variance is equal to (Sum of (Square of (the difference between mean and individual values))/Total number of values
When we multiply all the values by -7 then the difference between the mean and the individual values also gets multiplied by -7 and the square of that difference becomes 49. So, the variance gets multiplied by a factor of 49
SD:
Standard Deviation is the square root of variance so sqrt(49)=7. So SD gets multiplied by a factor of 7.
So, answer will be D.
Question: A driver took a trip consisting of three segments at three different speeds. The driver drove a distance of (5D) at a speed of (2V), then a distance of (7D) at a speed of (3V), then a distance of D at a speed of (6V). In terms of D and V, what was the total time of the trip?
A.3D/V
B.4D/V
C.5D/V
D.6D/V
Answer: C.5D/V
Explanation: The total time of the trip was:
5D/2V + 7D/3V + D/6V =
30D/12V + 28D/12V + 2D/12V =
60D/12V = 5D/V
The answer is C.
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A.10
B.88
C.676
D.99
Answer: A.10
Explanation: Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream
= (80-60)/2 = 10 kmph.
Answer: A
Question: Robin is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of MAZE, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Robin drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops?
A.rye − wheat − wheat
B.wheat − wheat − white
C.RYE- w-w
D.white − white − white
Answer: C.RYE- w-w
Explanation: Q is nothing BUT asking about remainder..
total morsels thrown before the pattern is repeated = 2+3+1 = 6..
so REMAINDER when 2000 is div by 6..
1998 is EVEN and also div by 3, so remainder is 2..
Last 3 of morsels are 1998-1999-2000
so he uses the last of morsel of pattern in 1998 two of the first morsels of the pattern in 1999 and 2000, and the pattern is w, w, M,M, M, RY..
ans RY-w-w
C
Question: If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 8400 ?
A.Rs.10
B.Rs.12
C.Rs.14
D.Rs.16
Answer: C.Rs.14
Explanation: Required difference = [3 ½ % of Rs.8400] – [3 1/3 % of Rs.8400]
= [(7/20-(10/3)]% of Rs.8400 =1/6 % of Rs.8400
= Rs. [(1/6)8(1/100)*8400] = Rs. 14.
Option C
Question: A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?
A.8
B.10
C.7
D.26
Answer: B.10
Explanation: Explanation:
4 a 3 |
9 8 4 } ==> a + 8 = b ==> b - a = 8
13 b 7 |
Also, 13 b7 is divisible by 11 =>(7 + 3) - (b + 1) = (9 - b)
=>(9 - b) = 0
b = 9
(b = 9 and a = 1) => (a + b) = 10.
B
Question: In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 10 women?
A.7C4 10C5
B.4C7 5C10
C.7C5 9C4
D.9C4 7C5
Answer: A.7C4 10C5
Explanation: Group consisting of 7 men and 10 women
4 men can be selected from 7 men in 7C4 ways
5 women can be selected from 10 women in 10C5 ways
Therefore, Total number of ways= 7C4 10C5
ANSWER:A
Question: 1/2,16,4,15,3,56,_ ?
A.28/3
B.27/3
C.26/3
D.25/3
Answer: A.28/3
Explanation: take alternative no. 1/2, 4,3
16/4=4
15/5 = 3
56/6 =28/3
hence ans is 28/3
ANSWER:A
Question: On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?
A.Saturday
B.Friday
C.Monday
D.Tuesday
Answer: B.Friday
Explanation: The year 2006 is an ordinary year. So, it has 1 odd day.
So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.
But, 8th Dec, 2007 is Saturday
So, 8th Dec, 2006 is Friday. Answer: B
Question: A train after traveling for 50km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late . Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. What is the speed W of the train.
A.a) 45
B.b) 33
C.c) 48
D.d) 55
Answer: C.c) 48
Explanation: Let y be the balance distance to be covered and x be the former speed.
A train after traveling for 50km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late
so, y/(3x/4) - y/x = 35/60
4y/3x - y/x = 7/12
y/x(4/3-1)=7/12
y/x*1/3=7/12
y/x=7/4
4y-7x=0 ........ 1
Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late
so, (y-24)/(3x/4) - (y-24)/x = 25/60
4(y-24)/3x - (y-24)/x = 5/12
(y-24)/x (4/3-1) = 5/12
(y-24)/x *1/3 = 5/12
(y-24)*12 = 3x*5
(y-24)*4 = 5x
4y-5x = 96 ....... 2
eq2 - eq1
2x=96
x=48=W
Ans = C
Question: The C.P of 15 books is equal to the S.P of 19 books. Find his gain% or loss%?
A.16 2/3% loss
B.16 2/8% loss
C.21 1/19% loss
D.36 2/3% loss
Answer: C.21 1/19% loss
Explanation: 15 CP = 19 SP
19 --- 4 CP loss
100 --- ? => 21 1/19% loss
Answer:C
Question: Find the ratio in which rice at Rs.10.0 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg?
A.1 : 3
B.2 : 3
C.3 : 5
D.4 : 5
Answer: C.3 : 5
Explanation: Solution
Required ratio = 60 : 100 = 3 : 5
Answer C
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 38 per kg. His profit percent is:
A.No profit, no loss
B.5%
C.33%
D.10%
Answer: C.33%
Explanation: Explanation :
C.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.
S.P. of 56 kg rice = (56 * 38) Rs. = 2128 Rs.
Profit % = (2128−1600/1600∗100)% = 33%
Answer : C
Question: If 75 percent of a class answered the first question on a certain test correctly, 35 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
A. 10%
B.(8) 20%
C. 30%
D. 50%
Answer: C. 30%
Explanation: {Total} = {First} + {Second} - {Both} + {Neither}
100% = 75% + 35% - {Both} + 20% --> {Both} = 30%.
Answer: C
Question: A father is 30 years older than his son, however he will be only thrice as old as the son after 5 years, what is the father's present age ?
A.40 yrs
B.30 yrs
C.50 yrs
D.60 yrs
Answer: A.40 yrs
Explanation: After 5 years . if ages are F and S , then
F=3S where F = S+30
F= 3*(F-30) = 3F-90
2F = 90
F =45
so present age = 45-5= 40 years
ANSWER:A
Question: If a and b are integers and (2^a)(3^b) is a factor of 90^40, what is the largest possible value of ab?
A.2a
B.5a
C.20a
D.40a
Answer: A.2a
Explanation: (2^a)(3^b) is a factor of 90^40
We need to find the largest possible value of ab.
We know that 90 = 2^1*5^1*3^2
Therefore 90^40 will have 2 powers of 3 in it.
Hence in (2^a)(3^b), b has to 2
Therefore value of ab = 2a
Correct Option: A
Question: Find out the wrong number in the given sequence of numbers.
1, 2, 6, 15, 31, 56, 93
A.2
B.6
C.15
D.93
Answer: D.93
Explanation: 1(result) + (1*1) = 2.
2(result) + (2*2) = 6.
6(result) + (3*3) = 15.
15(result) + (4*4) = 31.
31(result) + (5*5) = 56.
56(result) + (6*6) = 92.
Now we are getting 92 not 93.. So 93 is the wrong number of the given.
answer : D
Question: Find the remainder of the division (3^15)/7.
A.7
B.6
C.15
D.8
Answer: B.6
Explanation: Find the pattern of the remainders after each power:
(3^1)/7 remainder 3
(3^2)/7 remainder 2
(3^3)/7 remainder 6
(3^4)/7 remainder 4
(3^5)/7 remainder 5
(3^6)/7 remainder 1 -->this is where the cycle ends
(3^7)/7 remainder 3 -->this is where the cycle begins again
(3^8)/7 remainder 2
Continuing the pattern to (3^15)/7 gives us a remainder of 6
Final Answer:
B) 6
Question: One used-car salesperson receives a commission of $ 100 plus 4 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it?
A.$ 5,000
B.$ 6,000
C.$ 8,000
D.$ 10,000
Answer: B.$ 6,000
Explanation: This question can be solved by TESTing THE ANSWERS.
We're given the pay rate of two different salespeople who sell cars:
1) A commission of $ 100 plus 4 percent of $ 1,000 less than the car’s final sale price.
2) A straight commission of 6 percent of the car’s final sale price.
We're asked for the final sale price of a car if both salespeople would earn the SAME commission for selling it?
Let's TEST Answer B: $6,000
1st salesperson = $200 + .04(6,000 - 1,000) = $200 + .04(5,000) = $200 + $200 = $400
2nd salesperson = .06(6,000) = $360
These totals are NOT the same, so we can eliminate B. Looking at the two pay 'formulas', we can see that the 2nd salesperson will make more money than the 1st when the price of the car increases to a significant level, so we need a price that is HIGHER than $6,000. Since the difference in pay is relatively small in Answer B, we're likely looking for a number that is fairly close to $6,000 though...
Let's TEST Answer B: $6,000
1st salesperson = $200 + .04(8,000 - 1,000) = $200 + .04(7,000) = $200 + $280 = $480
2nd salesperson = .06(8,000) = $480
These totals are the SAME, so this must be the answer.
Final Answer:
B
Question: If 4<(7-x)/3, which of the following must be true?
I. 5<x
II. |x+6|>2
III. -(x+5) is positive
A.II only
B.III only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: 12<7-x
x<-5
x+5<0
1.5<x...not possible
2.True.....Check for values x=-6,-7,-8....... etc
3.True.. Since x+5<0 -(x+5) will always be positive
Hence, Ans is C..
Question: Certain stocks in January were 20% less than they were in February and 30% greater than they were in March. What was the percentage decrease in the stocks from February to March?
A.31%
B.45%
C.52%
D.61%
Answer: A.31%
Explanation: Let, Stock in February = 100
Then, Stock in January = 100-(20/100)*100 = 80
January = 30% greater than March = 1.3* Stock in March
i.e. Stock in March = 90 / 1.3 = 69 approximately
% Decrease from February to March = (69 - 100)*100/100 =31%approximately
Answer: Option A
Question: Simple interest on a certain sum at a certain annual rate of interest is 1/25 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:
A.5 %
B.2 %
C.6 %
D.8 %
Answer: B.2 %
Explanation: Explanation :
Let sum = x. Then, S.I. = x/25
Let rate = R% and time = R years.
[x * R * R / 100] = x / 25? R^2 = 100/25=4
R = 2
Hence, rate of interest = 2 %.
Answer : B
Question: The average number of printing error per page in a book of 512 pages is 4. If the total number of printing error in the first 302 pages is 1,208, the average number of printing errors per page in the remaining pages is
A.0
B.4
C.840
D.90
Answer: B.4
Explanation: Remaining pages = 512 – 302 = 210
Let average printing error in remaining pages = x
Then, 1208+210×x/512=4
⇒ 210x = 840 ⇒ x = 4
Answer B
Question: I take a four-digit number and subtract from it the sum of its digits. In the result I strike off one of the digits and the remaining three digits of the result are 2, 4 and 6 (not necessarily in that order). Find the digit struck off by me.
A.6
B.7
C.8
D.9
Answer: A.6
Explanation: Sol:
Let us assume the four digit number as wxyz. Then in base system 10 it can written as 1000w + 100x + 10y + z. Now given that,
wxyz = 1000w + 100x + 10y + z - (w + x + y + z) = 999w + 99x + 9y which is a multiple of 9
Hence the sum of digits must be a multiple of 9.
Hence 2 + 4 + 6 + x is equal to either 9, 18, 27 ...
But if the sum is equal to 9 then x is negative number. Therefore x = 6.
Answer A
Question: In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?
945678_
A.3
B.2
C.8
D.7
Answer: C.8
Explanation: Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.
As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3
=> x + 3 = 11 => x = 8
ANSWER:C
Question: Mr. LISA invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $200,000. In one year, Fund X paid 41% and Fund Y paid 14%. The interest earned in Fund Y was exactly $200 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?
A.60,545.56
B.570,545.56
C.50,545.45
D.80,545.23
Answer: C.50,545.45
Explanation: X+Y=200,000
0.14Y=0.41A+200
Take away decimals first: 14Y+41X+20,000
Isolate first equation to solve for X (your goal): Y=200,000-Y
Plug in for B:
14(200,000-X)=41X+20,000
2,800,000-14X=41X+20,000
2,780,000=55X
2,780,000/55=X
X=50,545.45=Answer Choice C
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability W that all three secretary are assigned at least one report?
A.8/9
B.64/81
C.4/9
D.16/81
Answer: C.4/9
Explanation: I got the same answer: Here's my reasoning
First Report you have 3 choices
Second Report you have 2 choices
Third Report you have 1 choice
Fourth report 3 choices again
Then total number of ways is: 3*2*1*3=3^2*2
This is not correct. You have assumed that the 4th report must go to someone who already has a report. There is no such constraint. You can easily give the 1st and 2nd reports to secretary 1, 3rd report to secretary 2 and 4th report to secretary 3. But you have ignored all such cases.
The number of ways of ensuring at least one report goes to each secretary is 4C2 (select 2 reports out of 4 which go to the same person)*3C1 (select the person who must type 2 reports)*2! (since you have 2 reports left which you must distribute to the 2 remaining people such that each person gets one) = 36
Required probability W= 36/81.C
Question: A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?
A.2 p.m. on Tuesday
B.2 p.m. on Wednesday
C.3 p.m. on Thursday
D.1 p.m. on Friday
Answer: B.2 p.m. on Wednesday
Explanation: Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.
The watch gains 2 + 4*4/5	min.	or	34/5	min. in 170 hrs.
Now,	34/5	min. are gained in 170 hrs.
2 min. are gained in 170 x	5/34	x 2	hrs	= 50 hrs.
Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday.
Answer:B
Question: An alchemist discovered that the formula expressing the correct proportions needed to turn ordinary metal into gold is G = 3/2M + 15, where G is the number of gold bars and M is the number of metal bars. If a metal bar weighs twice as much as a gold bar, how many metal bars will yield an equal weight of gold
A.a.	A - 10
B.b.	B - 15
C.c.	C – 22.5
D.d.	D – 40
Answer: A.a.	A - 10
Explanation: A --- 30/2 + 15 = 30 --- CORRECT
B --- 45/2 + 15 = not an integer --- wrong
C --- 22.5(3/2) + 15 = not an integer --- wrong
D --- 120/2+15 = 75 --- wrong
This is one of those problems that will probably be easiest to solve by plugging in numbers. The algebra is do-able, but it's not worth the effort (in my opinion). I was able to solve it in under 30 seconds total with this method.
A
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the 2nd?
A.1200
B.1245
C.1349
D.1450
Answer: C.1349
Explanation: First digit is 1/3 second digit => The numbers can be 1 & 3, 2& 6, 3 & 9.
First + second = third => we can eliminate 3 & 9 since 3 + 9 = 12.
Last is 3 times the second => we can eliminate option 2 & 6 since 3 * 6 = 18.
Hence the number is 1349
C
Question: In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 900. Find the average mark scored by all the three boys?
A.384
B.432
C.207
D.269
Answer: B.432
Explanation: Average mark scored by all the three boys =
[64/100 (900) + 36/100 (900) + 44/100 (900)] / 3
= 432
Answer: B
Question: In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−6, −5)?
A.4
B.2
C.0
D.−2
Answer: A.4
Explanation: First, solve for the slope, m:
m = (y2 - y1)/(x2 - x1) = (-5 - 3)/(-6 - 10) = -8/-16 or 1/2
Then you can re-write the equation as y = (1/2)x + b and plug in one of the points to find b, the y intercept. Using point (10, 3): 3 = (1/2)(10) + b, which can be simplified to 3 = 5 + b. Solve for b and you get b = -2.
The equation now reads: y = (1/2)x - 2.
To find the x intercept, plug in 0 for y: 0 = (1/2)x - 2, which simplifies to 2 = (1/2)x. From this, we can see that the x intercept = 4.
Answer is A.
Question: Which one the following fractions has the exact division of Five?
A.1889/5
B.1998/5
C.2007/5
D.2000/5
Answer: D.2000/5
Explanation: Numerator for all option is 5. In the numerator value, if the last digit is either 0 or 5, then it is exact division of 5. So Option (D) 2000, last digit is 0 is exactly divisible by 5. Answer (D).
Question: A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $325,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment?
A.$1,354
B.$1,733
C.$3,466
D.$13,333
Answer: A.$1,354
Explanation: 0.04x + 0.09y = 325000 [1]
0.04x = 0.80 * 325000 = 260000 [2]
260000 + 0.09y = 325000 --> 0.09y = 65000 [3]
260000 / 12 = 21666.67 [4]
65000 / 12 = 5416.667[5]
Adding [4,5] we get: 27083.33 [6]
Dividing [6] / 2 to get an average we get 1.354,ANS A
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 153.The amount of the bill is
A.Rs. 1386
B.Rs. 1764
C.Rs. 1275
D.Rs. 2268
Answer: C.Rs. 1275
Explanation: Solution
32.5
Let P.W. be Rs. x.Then,S.I. on Rs.x at 16% for 9 months =Rs.153.
∴ x 16 x9/ 12x 1/100}= 153 or x = 1275.
∴ P.W. = Rs. 1275.
Answer C
Question: Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/9 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
A.27
B.35
C.39
D.60
Answer: A.27
Explanation: The total number of the people in the room must be a multiple of both 7 and 9 (in order 3/7 and 5/9 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 7 and 9, which is 63.
Since, the total number of the people in the room is greater than 50 and less than 100, then there are 91 people in the room.
Therefore there are 3/7*63=27 people in the room under the age of 21.
Answer: A.
Question: If k and w are the dimensions of a rectangle that has area 48, and if k and w are integers such that k > w, what is the total number of possible values of k?
A. Four
B. Three
C. Two
D. Five
Answer: A. Four
Explanation: kw=48=48*1=24*2=16*3=12*4 --> k can take 4 values.
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
A.23 year
B.24 years
C.25 years
D.30 years
Answer: A.23 year
Explanation: Sol.
Let the average age of the whole team be x years.
∴ 11 x - (26 + 29) = 9 (x - 1)
⇔ 11x - 9x = 46
⇔ 2x = 46
⇔ x = 23.
So, average age of the team is 23 years.
Answer A
Question: On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
A.0
B.1
C.2
D.4
Answer: D.4
Explanation: Let the number be x and on dividing x by 5, we get k as quotient and 3 as remainder.
x = 5k + 3
x2 = (5k + 3)2
= (25k2 + 30k + 9)
= 5(5k2 + 6k + 1) + 4
On dividing x2 by 5, we get 4 as remainder.
Answer: D
Question: A tradesman by means of his false balance defrauds to the extent of 1%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A.2%
B.77%
C.44%
D.16%
Answer: A.2%
Explanation: g% = 1 + 1 + (1*1)/100
= 2%
Answer: A
Question: Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 42 miles per hour. How many miles from the station was train A overtaken by train B?
A.150
B.170
C.190
D.210
Answer: D.210
Explanation: After two hours, Train A is ahead by 60 miles.
Train B can catch up at a rate of 12 miles per hour.
The time to catch up is 60/12 = 5 hours.
In 5 hours, train A travels another 30*5 = 150 miles for a total of 210 miles.
The answer is D.
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 5 such machines produce in 4 minutes?
A. 900
B. 1,800
C. 2,700
D. 10,800
Answer: A. 900
Explanation: 6 machines produce 270 bottles per minute;
1 machine produces 270/6=45 bottles per minute;
5 machines produce 45*5=225 bottles per minute;
In 4 minutes 10 machines produce 225*4=900 bottles.
Answer: A.
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 170 m and 100 m respectively. The time they will take to pass each other completely is?
A.3 sec
B.8 sec
C.9 sec
D.5 sec
Answer: B.8 sec
Explanation: 70 + 50 = 120 * 5/18 = 100/3 mps
D = 170 + 100 = 270 m
T = 270 * 3/100 = 8 sec
ANSWER:B
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
A.2
B.15
C.18
D.7
Answer: A.2
Explanation: Let the ten's and unit digit be x and 8/x respectively.
Then,(10x + 8/x) + 18 = 10 x 8/x	+ x
10x2 + 8 + 18x = 80 + x2
9x2 + 18x - 72 = 0
x2 + 2x - 8 = 0
(x + 4)(x - 2) = 0
x = 2.
Answer:A
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 40,000, what will be the amount A receives?
A.14700
B.14500
C.16800
D.14300
Answer: C.16800
Explanation: Total amount invested = 50000
Assume that investment of C =x.
Then investment of B =5000+x,
Investment of A =4000+5000+x=9000+x
x+5000+x+9000+x=50000
⇒3x+14000=50000
⇒3x=50000–14000=36000
⇒x=36000/3=12000
Investment of C =x=12000
Investment of B =5000+x=17000
Investment of A =9000+x=21000
Ratio of the investment of A, B and C
=21000:17000:12000
=21:17:12
Share of A = Total profit ×21/50
=40000×21/50=16,800
Answer is C