RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If a boat is rowed downstream for 600 km in 20 hours and upstream for 48 km in 4 hours, what is the speed of the boat and the river?
A.21 , 21
B.9 , 21
C.21 , 9
D.9 , 9
Answer: C.21 , 9
Explanation: Explanation:
If x: speed of boats man in still water
y: speed of the river
Downstream speed (Ds) = x + y
Upstream speed (Us) = x â€“ y
x = (Ds + Us) / 2
y = (Ds â€“ Us) / 2
In the above problem Ds = 30 ; Us = 12
x = (30 + 12) / 2 = 42/2 = 21 km/hr
y = (30 - 12)/2 = 18/2 = 9 km/hr
ANSWER: C
Question: If a, b and c are forming increasing terms of G.P., r is the common ratio then find the minimum value of (c-b), given that (log a+log b+log c)/log 6 = 6.Note that r can be any real no.
A.23
B.16
C.17
D.12
Answer: D.12
Explanation: Explanation:
a,b,c are in G.P. so let the first term of G.P. = arar, and common ratio = r.
Therefore, a = arar, b = aa, c = arar
Given, loga+logb+logclog6=6log⁡a+log⁡b+log⁡clog⁡6=6
⇒logabclog6=6⇒log⁡abclog⁡6=6
⇒log6abc=6⇒abc=66⇒log6abc=6⇒abc=66
put the value of a,b,c in gp format
⇒ar×a×ar=66⇒ar×a×ar=66
⇒a3=66⇒a=36⇒a3=66⇒a=36
Now a = 36r36r, b = 36, c = 36r.
We have to find the minimum value of c - b = 36r - 36.
r can be any number. So for r < 0, we get c - b negative.
When r = 1, c - b = 0
But none of the options are not representing it.
From the given options, r = 4/3, then c = 48. So option d satisfies this.
Answer: D
Question: One fourth of a solution that was 22% sugar by weight was replaced by a second solution resulting in a solution that was 35 percent sugar by weight. The second solution was what percent sugar by weight?
A.74%
B.24%
C.22%
D.18%
Answer: A.74%
Explanation: Say the second solution (which was 1/4 th of total) was x% sugar, then 3/4*0.22+1/4*x=1*0.35 --> x=0.74. Alternately you can consider total solution to be 100 liters and in this case you'll have: 75*0.22+25*x=100*0.35 --> x=0.74.
Answer: A.
Question: Working alone, Mary can pave a driveway in 5 hours and Hillary can pave the same driveway in 3 hours. When they work together, Mary thrives on teamwork so her rate increases by 10%, but Hillary becomes distracted and her rate decreases by 10%. If they both work together, how many hours will it take to pave the driveway?
A.2 hours
B.4 hours
C.5 hours
D.6 hours
Answer: A.2 hours
Explanation: Initial working rates:
Mary = 1/5 per hour
Hillary = 1/3 per hour
Rate when working together:
Mary = 1/5 + (1/10*1/5) = 2/9 per hour
Hillary = 1/3 - (1/10*1/3) = 3/10 per hour
Together they work 2/9 + 3/10 = 1/2 per hour
So they will need 2 hours to complete the driveway. The correct answer is A.
Question: Which of the following is a divisible by 9 number ?
A.91
B.81
C.78
D.22
Answer: B.81
Explanation: Explanation :
81 is a divisible by 9
Answer : Option B
Question: In a classroom, if 6 students per bench are assigned to accommodate all students, one more bench will be required. However, if 7 students are accommodate per bench, there would be a space left for 5 students.What is the number of students in the class ?
A.30
B.45
C.42
D.72
Answer: D.72
Explanation: Let the number of benches in the class be x.
Then, 6(x + 1) = 7x - 5
x = 11.
Hence, number of students in the class	= 6 ( x + 1)
= 6 x 12
= 72.
ANSWER:D
Question: 75 boys can complete a job in 24 days. How many men need to complete the job twice in 20 days
A.160
B.170
C.180
D.190
Answer: C.180
Explanation: One man can complete the job in 24*75=1800 days
To complete the job twice he would need 3600 days.
Thus, to complete the job in 20 days, 3600/20=180 men are needed.
ANSWER:C
Question: In a room there are 10 people. Each shake hands with every other person. How many hand shakes?
A.50
B.62
C.75
D.45
Answer: D.45
Explanation: Any pair of person = 10C2 = 10!/8!*2! = 45
Answer is D
Question: Consider four consecutive integers. What is the sum of the 2nd and fourth numbers if the first number is 13?
A.26
B.19
C.30
D.43
Answer: C.30
Explanation: 1st = x = 13
2nd = x+1
3rd = x+2
4th = x+3
------
sum of 2nd and fourth numbers::
x+1+x+3 = 13+1+13+3 = 30
Answer C
Question: The average of first 12 natural numbers is?
A.5.2
B.6.5
C.5.3
D.5.9
Answer: B.6.5
Explanation: Sum of 12 natural no. = 156/2 = 78
Average = 78/12 = 6.5
Answer:B
Question: A man can do a job in 15 days. His father takes 20 days and his son finishes it in 15 days. How long will they take to complete the job if they all work together?
A.6.3
B.6.9
C.5.5
D.6.1
Answer: C.5.5
Explanation: 1 day work of the three persons = (1/15 + 1/20 + 1/15) = 11/60
So, all three together will complete the work in 300/47 = 5.5 days.
Answer:C
Question: On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 28 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
A.5
B.6
C.7
D.8
Answer: D.8
Explanation: Let Bill run x on saturday, so he will run x+4 on sunday..
Julia will run 2*(x+4) on sunday..
totai= x+x+4+2x+8=28..
4x+12=28..
x=4..
ans =x+4=4+4=8
Aswer D
Question: A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
A.1079
B.1017
C.1023
D.1017
Answer: C.1023
Explanation: Given that, the question paper consists of five problems. For each problem, one or two or three or none of the choices can be attempted.
Hence, the required number of ways = 45 - 1.
= 210 - 1 = 1024 - 1 = 1023
Answer: C
Question: Mike took 5 mock tests before appearing for the GMAT. In each mock test he scored 5 points more than the previous mock test. If he scored 760 on the GMAT and his average score for the mocks and the GMAT was 726.67, what was the difference in the score of his last mock and his GMAT score?
A.20
B.30
C.40
D.50
Answer: B.30
Explanation: One way to do this would be weighted average method..
1) let the average of 5 mocks be x...
so take it as a mix of5 quantitites of xand1 quantity of 760resulting in an average of 726.67...
By alligation/weighted average..
the difference in 760 and 726.67 is 5/6 of difference of 760 and x..
760-726.67 = 5/6 * (760-x)
760-x= 33.33*6/5=40...
so x = 720..
the last of mock test will be 720+5+5=730...
so ans = 760-730=30
B
Question: Set D consists of all the prime numbers between 10 and 25. What is the range of set D?
A.12
B.13
C.16.6
D.17
Answer: A.12
Explanation: Answer of set D is 12=A
Question: On a Monday in a certain restaurant, 20 percent of the 170 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
A.15%
B.16%
C.18%
D.23%
Answer: A.15%
Explanation: 20% of 170= 34
10% of 120=12
Total =46
percent for 2 days combined =46/300 ≈0.15. so it should be less than 0.15 so it is 15%
Answer:A
Question: How many integers n are there such that 1< 4n +4 < 20?
A. Five
B. Four
C. Three
D. Two
Answer: B. Four
Explanation: Solution:
1< 4n + 4 < 20
1< 4n + 4 < 20
We first subtract 4 from all three parts of the inequality, and we obtain:
-3 < 4n < 16
Next, we divide both sides of the inequality by 4 and we get:
-3/4 < n < 4
The answer is B
Question: A seller uses 800gm in place of 1kg to sell his goods. Find his actual % profit or loss, when he sells his article his article on 10% gain on cost price?
A.32.5%
B.37.5%
C.35%
D.40%
Answer: B.37.5%
Explanation: Selling price of 800gm = 100+10 = $110
Profit = 110-80 = $30
% of profit = 30*100/80 =37.5 %
Answer is B
Question: A man sitting in a train which is traveling at 60 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
A.52 kmph
B.58 kmph
C.62 kmph
D.65 kmph
Answer: A.52 kmph
Explanation: Relative speed = 280/9 m / sec = ((280/9)*(18/5)) kmph = 112 kmph.
Speed of goods train = (112 - 60) kmph = 52 kmph.
Answer : A
Question: The circumferences of two circles are 396 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles?
A.29960 sq m
B.26950 sq m
C.43120 sq m
D.27680 sq m
Answer: B.26950 sq m
Explanation: Let the radii of the smaller and the larger circles be s m and l m respectively.
2∏s = 396 and 2∏l = 704
s = 396/2∏ and l = 704/2∏
Difference between the areas = ∏l^2 - ∏s^2
= ∏{198^2/∏^2 - 352^2/∏^2}
= 198^2/∏ - 352^2/∏
= (198 - 352)(198 + 352)/∏
= (154)(550)/(22/7)
=26950 sq m
Answer:B
Question: John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $72000, what is their combined tax rate?
A.32%
B.34.4%
C.35%
D.35.6%
Answer: D.35.6%
Explanation: (1) When 30 and 40 has equal weight or weight = 1/2, the answer would be 35.
(2) When 40 has larger weight than 30, the answer would be in between 35 and 40. Unfortunately, we have 2 answer choices D and E that fit that condition so we need to narrow down our range.
(3) Get 72000/128000 = 72/128 = 9/16. 9/16 is a little above 8/16 = 1/2. Thus, our answer is just a little above 35.
Answer: D
Question: George owns twelve audio compact discs. If he takes two of them to play on an upcoming car trip, how many different pairs of compact discs could he choose?
A.144
B.132
C.72
D.66
Answer: D.66
Explanation: C212=66
Answer: D.
Question: The length of the bridge, which a train 250 metres long and travelling at 72 km/hr can cross in 30 seconds, is:
A.200 m
B.225 m
C.245 m
D.350 m
Answer: D.350 m
Explanation: Speed = [72 X 5/18] m/sec = 20 m/sec
Time = 30 sec
Let the length of bridge be x metres.
Then, (250 + x)/30 = 20 => 250 + x= 600 => x = 350 m.
ANSWER:D
Question: An inspector rejects 0.0000008% of the meters as defective. How many will be examine to project ?
A.2000
B.230000000
C.2700
D.250000000
Answer: D.250000000
Explanation: Let the number of meters to be examined be x.
Then, 0.0000008% of x =2
[(8/10000000)*(1/100)*x] = 2
x = [(2*10000000*100)/8] = 250000000
Answer is D.
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A.22 sec
B.88 sec
C.99 sec
D.20 sec
Answer: D.20 sec
Explanation: Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other = 120 + 280 = 400 m.
The time required = d/s = 400/20 = 20 sec.Answer: D
Question: A company gives bonus to retailer annually for a set target. This year the retailer has reached 1/4 of his target. If this year his target is increased to 20% from last year, how much target percentage of last year's target he should reach in order to get the bonus.
A.5/20
B.19/20
C.6/5
D.10/24
Answer: B.19/20
Explanation: Given 1/4 and 20% that is 1/5
Let the target of last year be 20
This year's target is 20% more of last year= 24
Target already reached is 1/4 *20=5
Remaining is 24-5=19
Required 19/20
Answer is (B)
Question: Rs. 900 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 900 become in 3 years ?
A.Rs. 1020.80
B.Rs. 1025
C.Rs. 1064
D.Data inadequate
Answer: C.Rs. 1064
Explanation: Solution
S.I. = Rs.(956-900 )=Rs.56
Rate = (100x56/900x3) = 56/27%
New rate = (56/27 +4)% = 164/27%
New S.I. = Rs.(900 x 164/27 x 3/100) Rs. 164.
∴ New amount = Rs.(900+164)= Rs. 1064.
Answer C
Question: Replace X with the appropriate number in
2 , 4 , 6 , 30 , 32 , 34 , X
A.38
B.8
C.5
D.36
Answer: D.36
Explanation: D
list of consecutive numbers that does not contain a 'e' in the spelling
Question: A train 190 m long passed a pole in 10 sec. How long will it take to pass a platform 1200 m long?
A.80
B.73
C.78
D.67
Answer: B.73
Explanation: Speed = 190/10 = 19 m/sec.
Required time = (190 + 1200)/19 = 73 sec.
Answer: Option B
Question: A person walks from one end to the other of a 60-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
A.48
B.60
C.72
D.84
Answer: A.48
Explanation: Let v be the speed of the person and let x be the speed of the walkway.
30(v+x)=60 then 120(v+x)=240
120(v-x)=60
When we add the two equations:
240v=300
v=5/4
time = 60 / (5/4) = 48 seconds
The answer is A.
Question: A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
A.4:8
B.4:1
C.4:3
D.4:2
Answer: C.4:3
Explanation: 12:9
= 4:3
Answer: C
Question: The average marks of 30 students in a class is 100. But a student mark is wrongly noted as 70 instead of 10 then find the correct average marks?
A.A)78
B.B)82
C.C)98
D.D)91
Answer: C.C)98
Explanation: correct avg marks = 100+(10-70)/30
avg = 100-2 = 98
Answer is C
Question: 30 liters of a mixture contains milk and water in the ratio 2:1. If 5 liters of this mixture be replaced by 5 liters of milk, the ratio of milk to water in the new mixture would be?
A.3:2
B.3:1
C.4:1
D.5:2
Answer: D.5:2
Explanation: Quantity of milk in 30 liters if mix = 30*2/3 =20 liters
Quantity of milk in 35 liters of new mix = 20+5 = 25 liters
Quantity of water in it = 35-25 = 10 liters
Ratio of milk and water in new mix = 25:10 = 5:2
Answer is D
Question: At the beginning of 1992, Maria's stock portfolio was worth $600,000. During 1992, the portfolio's value increased by 95%. During the next year, the portfolio increased its worth by only 5%. What was Maria's portfolio worth, in dollars, by the end of 1993?
A.1,180,000
B.1,200,000
C.1,200,300
D.1,228,500
Answer: D.1,228,500
Explanation: By the end of 1992, the port folio worth is 1.95 * ($600K)
By 1993, the portfolio is 1.05 * (1.95 * $600K)
=$ 1,228,500
ANSWER:D
Question: If A:B = 1/3: 1/4 B:C = 1/3:1/4 then A:B:C?
A.1:2:3
B.16:12:9
C.4:12:16
D.9:6:18
Answer: B.16:12:9
Explanation: A:B = 1/3:1/4= 4:3
B:C = 1/3:1/4 =4:3
--------------------
A:B:C = 16:12:9
Answer: B
Question: David biked 16 1/3 miles in 2 hours and 20 minutes. What was his average rate of speed in miles per hour?
A.7
B.7 2/3
C.8 1/3
D.9
Answer: A.7
Explanation: D = 16(1/3) = 49/3
T = 2(1/3) = 7/3
S = D/T = 7
Answer = A
Question: What distance will be covered by a bus moving at 72 kmph in 30 seconds?
A.238
B.600
C.299
D.277
Answer: B.600
Explanation: 72 kmph = 72 * 5/18 = 20 mps
D = Speed * time = 20 * 30 = 600 m.Answer: B
Question: Which of these numbers is different from the others?
A.678
B.690
C.696
D.702
Answer: D.702
Explanation: All of the numbers are multiples of 6. 702 is the only number that is also a multiple of 9.
Answer: D
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A.31/32
B.31/39
C.31/99
D.31/77
Answer: A.31/32
Explanation: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32
Answer: A
Question: In given series 7 8 16 46 107 232 448 only one number is incorrect. Find out that wrong number.
A.8
B.16
C.46
D.107
Answer: C.46
Explanation: (N+1)th term = Nth term +(N)^3
8=7+1^3
16=8+2^3
43= 16+3^3............. so 46 is wrong.
107= 43+4^3
232= 107+5^3
448= 232+6^3
ANSWER:C
Question: If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
A.1:1
B.2:1
C.3:1
D.4:1
Answer: B.2:1
Explanation: B
2:1
Let 1 man's 1 day work = x and 1 boy's 1 day work = y.
Then, 12x + 16y = 1/5 and 13x + 24y = 1/4
Solving these two equations, we get:
x = 1/100 and y = 1/200
Required ratio = x:y = 1/100 : 1/200 = 2:1.
Question: A committee of 6 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
A.1/28
B.3/28
C.1/14
D.360/14
Answer: D.360/14
Explanation: 3/8*4/7*1/6*6! = 3/14. We are multiplying by 6! because we can choose secretary,economist, and accountant is several way:
Answer: D.
Question: If 6 - 12/X = 7 - 7/X, then X =
A.-5
B.19
C.-7/5
D.1
Answer: A.-5
Explanation: We're given the equation 6 - 12/X = 7 - 7/X. We're asked for the value of X.
The common-denominator of these 4 numbers is X, so we need to multiply both sides of the equation by X, giving us...
6X - 12X/X = 7X - 7X/X
We can then eliminate that denominator, which gives us....
6X - 12 = 7X - 7
-5 = X
A
Question: Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
A.16537.52
B.16537.29
C.16537.5
D.16537.2
Answer: C.16537.5
Explanation: P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year
= 2 half-year
Amount = [15000 * (1 + 5/100)2]
= (15000 * 21/20 * 21/20)
= Rs.16537.50
Answer:C
Question: A shopkeeper forced to sell at cost price, uses a 750 grams weight for a kilogram. What is his gain percent?
A.10%
B.9%
C.33.33%
D.12 %
Answer: C.33.33%
Explanation: Shopkeeper sells 750g instead of 1000g.
So, his gain = 1000 - 750 = 250g.
Thus, %Gain = (250 *100)/750 = 33.33%.
answer : OPTION C
Question: 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required?
A.5 days
B.6 days
C.7 days
D.8 days
Answer: D.8 days
Explanation: That is, 1 work done = 12 × 8 × 10
Then, 12 8 × 10 = ? × 15 × 8
? (i.e. No. of men required) = 12 × 8 × 10/15× 10 = 8 days
D)
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A.90
B.10
C.20
D.50
Answer: A.90
Explanation: Explanation:
Let number of notes of each denomination be x.
Then x + 5x + 10x = 480
16x = 480
x = 30.
Hence, total number of notes = 3x = 90.
Answer is A
Question: A passenger sitting near the window in a train moving at 30 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 75 metres?
A.a)50km/h
B.b)52km/h
C.c)56km/h
D.d)60km/h
Answer: D.d)60km/h
Explanation: im getting A
3 secs to pass a 75 mts train , therefore speed = 25 meters/sec
to convert m/s to km/hrs multiply by 3.6
25*3.6 = 90
so its 90-30 = 60 .
D
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
A.41
B.45
C.42
D.14
Answer: C.42
Explanation: x/7 = y/9 => x:y = 7:9
7/16 * 96 = 42
Answer: C
Question: Solve the given two equations and find the inequality of X and Y. (a) 2x^2 + 11x + 14 = 0 and (b) 4y^2 + 12y +9 =0
A.If x>y
B.If x>=y
C.If x < y
D.If x<=y
Answer: C.If x < y
Explanation: Solution:-
X=-7/2 or -2
Y=-3/2
If x<y
C)
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 2%. What is the cost price?
A.s.1000
B.s.1009
C.s.1166.7
D.s.1006
Answer: C.s.1166.7
Explanation: Explanation:
90%
102%
--------
12% ---- 140
100% ---- ? => Rs.1166.7
Answer:C
Question: Which of the following best approximates the value of p if 5^30+3^11=5^p ?
A.39
B.30
C.28
D.27
Answer: B.30
Explanation: We have: 5^30+3^11=5^p
==> because 3^11 > 0 --> 5^p MUST be equal or greater than 5^30 ==>p MUST be equal or greater than 30
==> Options C, D, and E are out immediately.
Divide both sides by 5^p and p >= 30
We have:
5^(30-p) + 3^11/5^p = 1
Because p >= 30 ==>3^11/5^p = 0.0000xyz, that is very small,we can ignore it.
Thus, 5^(30-p) must be approximately 1
==> 30-p = 0 ==> p is approximately 30
B is the answer.
Question: After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
A.7 liters
B.9 liters
C.5 liters
D.2 liters
Answer: D.2 liters
Explanation: Explanation:
95% ----------- 38
5% ------------ ? => 2 liters
Answer: D
Question: A data set with a mean of 40 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?
A.18
B.36
C.59
D.63.5
Answer: B.36
Explanation: One standard deviation of the mean is from{mean}-{deviation}=40-3.5=36.5 to{mean}+{deviation}=40+3.5=43.5. The smallest number within this range from the options is 36.
Answer: B.
Hope this helps.
Question: A reduction of 42% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
A.2.15
B.8.15
C.7.15
D.3.15
Answer: D.3.15
Explanation: Explanation:
40*(42/100) = 16.8 --- 64
? --- 12 => Rs.3.15
Answer: D
Question: Departments A, B, and C have 5 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
A.19,000
B.23,750
C.100,000
D.190,000
Answer: B.23,750
Explanation: 5c1 * 5c1* 5c1*20c2 = 5*5*5*190=23,750. Hence B is the correct answer.
Question: The average age 9 members of a committee are the same as it was 3 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.27 years
C.18 years
D.29 years
Answer: B.27 years
Explanation: 9 * 3 = 27 years
Answer:B
Question: Rs. 5625 is to be divided among A, B and C so that A may receive 1/2 as much as B and C together receive and B receives 1/4 of what A and C together receive. The share of A is more than that of B by
A.237
B.279
C.271
D.750
Answer: D.750
Explanation: A + B + C = 5625
\inline B=\frac{1}{4}(A+C) \Rightarrow A+C =4B
\inline \therefore 4B + B = 5625
B = 1125
Also A + C = 4B = 4 x 1125 = 4500
Also \inline A=\frac{1}{2}(B+C)\Rightarrow B+C= 2A
B = 2A - C
\inline \therefore 2A - C = 1125
Now solving A+C = 4500 and 2A-C = 1125
Then A = 1875 and C = 2625
\inline \therefore A-B = 1875 - 1125 = Rs. 750
Answer:D
Question: Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer?
A.2388
B.2799
C.2877
D.4266
Answer: D.4266
Explanation: CI = 14800{ [ 1 + 13.5/100]2 - 1 }
= 14800 { [1 + 27/200]2 - 1
= 14800 { 2 + 27/200}{27/200}
= (74)[2 + 27/200](27) =
1998[2 + 27/200] = 3996 + 269.73 = Rs. 4266.Answer:D
Question: A dog breeder would like to make the largest profit off of his latest litter of puppies. Puppies with more than 4 spots sell for more money. The last litter had 10 puppies; 6 had 5 spots, 3 had 4 spots, and 1 had 2 spots. What % of puppies can the dog breeder expect to sell for a greater profit?
A.90 %
B.65 %
C.50 %
D.85 %
Answer: A.90 %
Explanation: Number of dogs with profitable spots = (6 + 3)
= 6 + 3
= 9
Now, we need to calculate 9 is what percent of 10.
=> 9/10 * 100 = 90 %
A
Question: A secret can be told to only 2 persons in 3 minutes. Each person in turn tells 2 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way?
A.1024
B.2046
C.512
D.4096
Answer: B.2046
Explanation: 2^1 + 2^2 + 2^3 + 2^4 + ..............+2^10 = 2(2^10 - 1)/(2-1)
= 2*1023 = 2046
ANSWER:B
Question: Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 324 grams of compound X?
A.54
B.162
C.250
D.270
Answer: D.270
Explanation: total number of fractions =2+10=12
element B constitutes =10 out of 12 parts of X
So in 324 gms of X have 324*10/12=270 gms of B
and 324-270=54 gms of A.
cross check:- A/B = 54/270 =2/10 (as given)
Ans D
Question: What is the median from the below series 90, 90, 93, 88, 95, 88, 97, 87, and 98
A.80
B.85
C.90
D.97
Answer: C.90
Explanation: Ordering the data from least to greatest, we get:
87, 88, 88, 90, 90, 93, 95, 96, 98
The median quiz score was 90. (Four quiz scores were higher than 90 and four were lower.)
C