RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The average of 26,29,n,35 and 43 lies between 25 and 35. If n is always an integer and greater than the average of the given integers then the value of n is :
A.36
B.29
C.33
D.28
Answer: C.33
Explanation: Explanation:
Average of 26,29,35 and 43 is 33.25 . Also the average of 26 , 29, n, 35 and 43 lies between 25 and 35 i.e,
Rightarrow 125 < 26+29+n+35+43 < 175
Rightarrow 125 < 133 + n < 175
Rightarrow n < 42
Since the value of n is an integer and greater than 33.25 then 33 < n < 42 for every integer n.
Answer: C
Question: For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $6 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
A.1 : 4 : 400
B.1 : 4 : 100
C.20 : 4 : 1
D.100 : 4 : 1
Answer: B.1 : 4 : 100
Explanation: millionaire 20 cents = 1/5 dollar ..therefore 1 dollar M = 100 dollar of B
therefore 6 dollar M = 600 dollar of B also 1 dollar Y
Y:M:B = 1:6:600
= 1:6:600
B
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. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
A.Rs.6152
B.Rs.6159
C.Rs.6156
D.Rs.6150
Answer: D.Rs.6150
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. 1125
45k = 1125 => k = 25
246k = 246(25) = Rs. 6150
Thus the total rent paid by all the four agencies is Rs.6150.
Answer: D
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
A.1: 96
B.1: 97
C.1: 98
D.1: 99
Answer: A.1: 96
Explanation: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x = 1: 96.
Answer: Option A
Question: Given that 268x74= 19732, find the value of 2.68x.74.
A.1.9732
B.1.0025
C.1.5693
D.1.0266
Answer: A.1.9732
Explanation: Solution
Sum of decimals places	=(2+2)
= 4.
Therefore,	= 2.68×.74
= 1.9732
Answer A
Question: A man can row his boat with the stream at 12 km/h and against the stream in 8 km/h. The man's rate is?
A.2 kmph
B.6 kmph
C.7 kmph
D.4 kmph
Answer: A.2 kmph
Explanation: Explanation:
DS = 12
US = 8
S = ?
S = (12- 8)/2 =2 kmph
Answer: A
Question: A and B enter into a partnership. A contributed Rs.5000 for 8 months and B Rs.6000 for 5 months. Find A's share in a total profit of rs.8400.
A.Rs. 4800
B.Rs. 2400
C.Rs. 3600
D.Rs. 5600
Answer: A.Rs. 4800
Explanation: Explanation:
Ratio of capitals of A and B
= Ratio of their investments
= 5000 × 8 : 6000 × 5
= 40000 : 30000 = 4 : 3
.: A's share = Rs. [(4/7) × 8400] = Rs. 4800
Answer: Option A
Question: On a ferry, there are 22 cars and 10 trucks. The cars have an average mass of 1200 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 32 vehicles on the ferry?
A.1686.5
B.1762.5
C.1824.5
D.1878.5
Answer: B.1762.5
Explanation: The total mass of the vehicles is 22*1200+10*3000=56400
The average mass is 56400/32=1762.5
The answer is B.
Question: factor: 3y (x-3)-2(x-3)
A.(x-3)-2(x-3)
B.(x-3)power2
C.(x-3)(3y-2)
D.3y(x-3)
Answer: C.(x-3)(3y-2)
Explanation: 3y(x-3)-2(x-3), = (x-3)(3y-2). Answer: (C)
Question: fill in the blank space.
1, 9, 25, 49, 81, ?
A.100
B.121
C.144
D.169
Answer: B.121
Explanation: The series consists of squares of consecutive prime numbers.
Answer : B.
Question: The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 3, what is the value of H?
A.2
B.3
C.5
D.4
Answer: D.4
Explanation: Integer is divisible by 3 - Sum of digits is divisible by 3
Answer: D
Question: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and if the repetition is allowed?
A.20
B.5
C.10
D.36
Answer: D.36
Explanation: Since, each desired number is divisible by 5, so we must have 5 at the unit place.
So , the tens place can now be filled by any of the remaining 6 digits (2, 3, 6, 7, 9, 5)
therefore the 3-digit no can be formed by (6 * 6 * 1) = 36 ways ------(since repetition is allowed)
Ans- D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.70 min
B.16 min
C.20 min
D.10 min
Answer: D.10 min
Explanation: D
10 min
Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = (9/54 x 60) min = 10 min
Question: If ‘POOJA’ is coded as ‘SRRMD’, then ‘PRIYA’ is coded as
A.THGFE
B.GVFED
C.FREDCV
D.SULBD
Answer: D.SULBD
Explanation: P= 16 = 16+3 = 19 = S
O = 15 =15+3 =18 = R
SIMILARLY,
P = 16 = 16+3 = 19 = S
R = 18 = 18+3 = 21 = U
I = 9 = 9+3 = 12 = L
Y = 25 = 25 +3 = 28 = B
A = 1 = 1+3 = 4 = D
SO ANS IS
SULBD
Question: In the sea there are 3 fishers in a boat and they take 4 hours to complete one third of a fish container. They went to rest and were supplanted by 8 fishers. If they continue to fish at the same rate, how many hours will take to all of the fishers complete all the container?
A. 16 hours
B. 12 hours
C. 8 hours
D. 7 hours
Answer: D. 7 hours
Explanation: We have that: 3 fishers ----- 4 hours, 8F ----- xhr, that is: (Xhr/ 3F) = (4hr/8F), then: Xhr = (4hr/8F)3F = (3/2)hr. Is to say, they did the same work in 3/2 hours; it is only one third of the container. Then, all the container is: C = C1 + C2 + C3 = 4 hr + (3/2) hr + (3/2) hr = (4 + 3) hr = 7 hr. Answer D.
Question: By using the numbers 0, 1, 3, 5 and 6 only once, how many five digit numbers can be made that are divisible by 15?
A.12
B.18
C.24
D.36
Answer: B.18
Explanation: A number to be divisible by 15 must end with 15, 30, 45,60,75 or 70.
So, there are the following cases possible:
035-15 --> the first three digits can be arranged in 3=6 ways.
156-30 --> the first three digits can be arranged in 3=6 ways.
135-60 --> the first three digits can be arranged in 3=6 ways.
Total = 6+6+6= 18.
Answer:B.
Question: How many three digit numbers E are divisible by 78 or 91?
A.17
B.19
C.20
D.21
Answer: B.19
Explanation: The answer will be 19.
Explanation:
78= 2*3*13 now multiples of 78, 156 ....780, now 1000-780 = 220 only two more muktiples of 78 can exists. So total number of 3 digit Multiples of 78 are 9+2=11
91= 13*7--Total number of three digit multiples --9
No remember we have a common multiples as well-- 13*7*6=91*6=546
So total number of multiples E--11+9 -1 =19.
Hence Answer is 19.B
Question: Nine people are planning to share equally the cost of a rental van. If one person withdraws from the arrangement and the others share equally the cost of the rental van, then the share of each of the remaining people will increase by...?
A.1 / 9
B.1 / 8
C.1 / 7
D.7 / 8
Answer: B.1 / 8
Explanation: Let P = total cost of the rental van.
The original share per person is P/9.
The new share per person is P/8.
P/8 = P/9 * 9/8 = (1 + 1/8)*original share
The answer is B.
Question: The G.C.D of 1.08, 0.36 and 0.9 is
A.0.03
B.0.9
C.0.18
D.0.108
Answer: C.0.18
Explanation: Solution
Given numbers are 1.08 , 0.36 and 0.90.
H.C.F of 108 ,36 and 90 is 18.
‹=› H.C.F of given numbers = 0.18.
Answer C
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
A.65
B.86
C.30
D.78
Answer: C.30
Explanation: US = 25
DS = 35
M = (35 + 25)/2
= 30
Answer: C
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 25%?
A.600
B.887
C.625
D.654
Answer: C.625
Explanation: Cost price = Rs.500
profit = 25% of 500 = Rs.125
Selling price = Cost price + Profit
= 500 + 125 = 625
Answer: C
Question: Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually.
A.Rs 400
B.Rs 300
C.Rs 3109
D.Rs 250
Answer: C.Rs 3109
Explanation: Time = 2 years 4 months = 2(4/12) years = 2(1/3) years.
Amount = Rs'. [8000 X (1+¬(15/100))2 X (1+((1/3)*15)/100)]
=Rs. [8000 * (23/20) * (23/20) * (21/20)]
= Rs. 11109.	.
:. C.I. = Rs. (11109 - 8000) = Rs. 3109.
ANSWER C Rs 3109
Question: How many ways could two people sit at a table with four seats in which two of the four seats will remain empty?
A.60
B.12
C.112
D.118
Answer: B.12
Explanation: ways in which 2 seats out 4 can be selected = 4C2
ways in which 2 people can be arranged in 2 seats = 2!
Total ways of arrangement = 4C2*2!
=4*3
=12
Ans = 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 (1/9)
B.21 (1/3)
C.21 (1/2)
D.21 (5/3)
Answer: B.21 (1/3)
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: Real-estate salesman Z is selling a house at a 25 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 5 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 30 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
A.21/34
B.55/71
C.25/34
D.26/34
Answer: B.55/71
Explanation: Let the retail price be = x
Selling price of Z = 0.75x
Selling price of X = 0.95*0.75x = 0.71x
Selling price of Y = ((0.75x + 0.71x)/2)*0.70 = 0.73x * 0.75 = 0.55x
0.55x = k * 0.71x
k = 0.55/0.71 = 55/71
Answer: B
Question: Combine terms: 12a + 26b -4b – 16a.
A.4a + 22b
B.-28a + 30b
C.-4a + 22b
D.28a + 30b
Answer: C.-4a + 22b
Explanation: Solution:
12a + 26b -4b – 16a.
= 12a – 16a + 26b – 4b.
= -4a + 22b.
Answer: (C)
Question: An eccentric casino owner decides that his casino should only use chips in $5 and $8 denominations. Which of the following amount cannot be paid out using these chips?
A.$34
B.$27
C.$31
D.$29
Answer: B.$27
Explanation: Yes, the number of 5 or/and 8 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic.
Each option but B can be represented as the sum of a multiple of 5 and a multiple of 8:
A. $34 = 8*3 + 5*2
B. $31 = 8*2 + 5*3
C. $29 = 8*3 + 5*1
E. $24 = 8*3
Answer: B.
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
A.6
B.5
C.4
D.3
Answer: D.3
Explanation: 40*(40/100)
= 16 --- 64
? --- 12
=> Rs.3
Answer: D
Question: Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 80 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did Paul catch up with Mary?
A.35
B.15
C.20
D.25
Answer: D.25
Explanation: d = rt
M: r = 50mph, t = t + 1/4hr
d = 50 (t + 1/4)
P: r = 80, t = t
d = 80t
since they went the same distance:
50t + 50/4 = 80t
30t = 50/4 = 50/120 *60 =25 min
t = 25 min
D
Question: The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 900. What is the banker's discount?
A.1240
B.1120
C.1190
D.2150
Answer: D.2150
Explanation: Explanation :
TD = (BG ×100)/TR = (900×100)/(6×12) = Rs. 1250
BG = BD – TD
=> 900 = BD - 1250
=> BD = 2150 Answer : Option D
Question: At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $40,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
A.$14,000
B.$11,200
C.$12,000
D.$12,800
Answer: A.$14,000
Explanation: 1 machine of type B will cost: 20% down payment of 40,000 = 8,000plusremaining sum (50,000-8,000=42,000) with 40% of finance charges 42,000*1.4=58,800 --> 8,000+58,800=66,800;
2 machine of type A will cost: 20% down payment of 2*20,000 = 8,000plusremaining sum (40,000-8,000=32,000) with 40% of finance charges 32,000*1.4=44,800 --> 8,000+44,800=52,800;
Difference = 66,800 - 52,800 = 14,000.
Answer: A.
Question: Running 3/4th of his usual rate, a man is 9min late. Find his usual time in hours ?
A.6/4 hrs
B.3/4 hrs
C.9/20 hrs
D.3/4 hrs
Answer: C.9/20 hrs
Explanation: Explanation:
Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time
so 1/3rd of the usual time = 9min
or usual time = 3 x 9 = 27min = 27/60 hrs = 9/20 hrs.
Answer: C
Question: A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 90 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
A.160
B.240
C.360
D.495
Answer: D.495
Explanation: The number of jumbo tiles = x.
The number of regular tiles = 2x.
Assume the ratio of the dimensions of a regular tile is a:a --> area = a^2.
The dimensions of a jumbo tile is 3a:3a --> area = 9a^2.
The area of regular tiles = 2x*a^2 = 90.
The area of jumbo tiles = x*9a^2 = 4.5(2x*a^2 ) = 4.5*90 =405.
Total area = 90 + 405 = 495
Answer: D.
Question: A man bought some mangoes at Rs12 per dozen and bought the same number of at Rs 10 per kg. He sold these mangoes at Rs 13 per dozen and gained Rs 160.The total number of mangos bought by him are
A.40dozens
B.60dozens
C.70dozens
D.80dozens
Answer: D.80dozens
Explanation: let total no of mangoes is 2x..
then we profit=sp-cp
160=13*2x-(12x+10x)
160=4x
x=40
hence 2x=80
so total no are 80dozens
ANSWER:D
Question: In how many ways can you line up 7 cars in a row if one of them cannot be in the middle or at the either end?
A.82
B.92
C.1,750
D.2,880
Answer: D.2,880
Explanation: Since the car cannot be placed in the middle or at either end (3 spots), then he can choose 4 spots to sit. The remaining 6 apples can be placed in in 6! ways. Thus the # of arrangements is 4*6! = 2,880.
Answer: D.
Question: The averge score of a cricketer for ten matches is 35 runs. If the average for the first six matches is 23. Then find the average for the last four matches?
A.58
B.53
C.64.25
D.55
Answer: B.53
Explanation: sum of last 4 matches = (10 × 35) – (6 × 23)=212
Average = 212/4
= 53
ANSWER:B
Question: In a village ,50% of the students play football, 60% of the student play basketball,40% of the student play cricket. 20% play both football and basketball ,20% play both football and cricket,25% play both cricket and baseketball.5% of the student play all the three games and 100 students play none of the games.How many students are there in the college?
A.700
B.800
C.900
D.1000
Answer: D.1000
Explanation: the student play all three games=5%
the student play only both football n bsketball=(20-5)%=15%
the student play only both football n cricket=(20-5)%=15%
the student play only both basketball n cricket=(25-5)=20%
the student play only football=(50-15-15-5)%=15%
the student play only basketball=(60-15-20-5)%=20%
the student play only cricket=(40-15-20-5)%=0%
so sdtudent play games=(0+20+15+15+15+20+5)%=90%
so student does not play games=(100-90)%=10%
as 10%=100 student den 100%=1000 student
there are 1000 student in the college
ANSWER:D
Question: A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability Q that out of the two, one is white and one is blue?
A.15/56
B.41/56
C.13/28
D.15/28
Answer: D.15/28
Explanation: The required probability Q= probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls.
Ways to select 6 out of total 8 = 8C6
Ways to select 4 out of 5 white balls = 5C4
Ways to select 2 out of 3 blue balls = 3C2
Thus the required probability = (5C4*3C2)/8C6 = 15/28.
D is thus the correct answer.
Question: What will come in place of the x in the following Number series? 25, 100, 400, 1600, 6400, X
A.64000
B.69000
C.25600
D.75000
Answer: C.25600
Explanation: (C)
25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400, 6400 x 4 = 25600
Question: y = x^2 + bx + 512 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
A.-512
B.-257
C.-256
D.-513
Answer: D.-513
Explanation: As the curve cuts the x-axis at (h,0) and (k,0). Therefore h,k are the roots of the quadratic equation.
For the quadratic equation is in the form of ax^2+bx+c=0,
The product of the roots =c/a= 512/1=256 and the sum of the roots =-b/a=-b
512 can be expressed as product of two numbers in the following ways:
1 * 512
2 * 256
4 * 128
8 * 64
16 *32
The sum of the roots is maximum when the roots are 1 and 256 and the maximum sum is 1 + 512 = 513.
The least value possible for b is therefore -513.
D
Question: 75 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
A.48
B.180/7
C.50.4
D.60
Answer: A.48
Explanation: 75% of Area of the floor = 4*9 square feet = 36 square feet
i.e. 100% Area of Floor = (36/75)*100 = 48 square feet
Answer: Option A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.120 metres
B.110metres
C.90 metres
D.150 metres
Answer: D.150 metres
Explanation: Answer: Option D
Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time) = (50/3 * 9) m = 150 m.
Question: A person has 12 friends and he wants to invite 8 of them to a birthday party. Find how many times 3 particular friends will always attend the parties.
A.126
B.95
C.130
D.155
Answer: A.126
Explanation: Explanation :
No. of times 3 particular friends will attend the party always.
Hence the number of ways of selection is :-
=> n-kCr-k, where n= 12, r=8 and k=3.
=> No. of combinations = 12-3C8-3 .
=> 9C5.
=> 126.
Hence, the number of combinations with 3 particular friends present in each combination (party) is 126.
Answer : A
Question: 852.68 âˆ’ 4.5 + 108.90 = ? âˆ’ 2132.54
A.6078.58
B.5225.9
C.6258.58
D.6078.5
Answer: D.6078.5
Explanation: Option 'D'
Question: An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid Rs. 3894. For how many days was he absent?
A.1
B.2
C.3
D.4
Answer: C.3
Explanation: Explanation:
HCF (4956, 3894) = 354
Here 354 are the maximum daily wages.
The officer was appointed on contract money of Rs. 4956 = 354 × 14.
i.e., he was appointed for 14 days.
But he was paid Rs. 3894 = 354 × 11,
i.e., he was present for 11 days.
Hence he was absent for 3 days.
Answer: C
Question: Pamela bought an electric drill at 85% of the regular price.
She paid $32.89 for the drill. What was the regular price?
(Round to the nearest cent)
A.$28.69
B.$18.69
C.$38.69
D.$58.69
Answer: C.$38.69
Explanation: we know
85/100=32.89/x
Multiply the opposites:
100 x 32.89 = 3289
Divide by the remaining number:
38.694/3289 .000
85
$38.69
correct answer C
Question: The average (arithmetic mean) of 7 numbers is 7. If 3 is added from each of 5 of the numbers, what is the new average?
A.7.3
B.5.6
C.4.6
D.9.1
Answer: D.9.1
Explanation: Sum of 8 numbers = 7*7=49
If 3 is added from each of five of the numbers , we added 3*5=15 from the total sum
Sum of 7 number after adding 3 from each of five of the numbers =49+15=64
New average =64/7=9.1
Answer (D)
Question: In a basket the number of cherries is 20% of the number of apples. Express the number of apples as a percentage of cherries in the basket?
A.2%
B.7%
C.12%
D.5%
Answer: D.5%
Explanation: The number of cherries is 20% the number of apples.
If apples=10
cherries=2
We are asked for the number of apples as a percentage of cherries
A/C=10/2=5%
Answer is D
Question: An analyst will recommend a combination of 4 industrial stocks, 3 transportation stocks, and 4 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 5 utility stocks, how many different combinations of 11 stocks are possible?
A.12
B.19
C.60
D.100
Answer: D.100
Explanation: 5C4 * 4C3 * 5C4 = 5*4*5 = 100.
Answer: D
Question: The average age of 18 persons in a office is 15 years. Out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. The age of the 15th person is?
A.9
B.31
C.56
D.72
Answer: C.56
Explanation: Age of the 15th student = 18*15 - (14*5+16*9) = 270-214 = 56 years
Answer is C
Question: In store A there are 10 pairs of pants for every 50 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
A.4:15.
B.2:3.
C.1:3.
D.3:4.
Answer: A.4:15.
Explanation: 1st statement : ratio of pants
Store A : Store B
10x : 50x
X:5X
Price :
4y:3y
Total revenue
4xy : 15xy
4:15
Answer is A
Question: A sum of money is sufficient to pay B's wages for 12 days and C's wages for 24 days. The same money is sufficient to pay the wages of both for?
A.6
B.7
C.8
D.9
Answer: C.8
Explanation: Let the total money be $x
B's 1day work = $ x/12
C's 1day work = $ x/24
A+B 1day work = $ x/8
Money is sufficient to pay the wages of both for 8days
Answer is C
Question: If 45% of z is 72% of y and y is 75% of x, what percent of x is z?
A.200
B.120
C.100
D.65
Answer: B.120
Explanation: (45/100)z = (72/100)y
and y = (75/100)x i.e. y = (3/4)x
i.e. (45/100)z = (72/100)*(3/4)x
i.e. z = (72*3)x/(45*4)
i.e. z = (1.2)x = (120/100)x
i.e. z is 120% of x
Answer: Option B
Question: The ratio of number of boys and girls in a class is 3 : 2. In the 1st semester exam 20% of boys and 25% of girls get more than or equal to 90% marks. What percentage of students get less than 90% marks ?
A.56
B.70
C.78
D.80
Answer: C.78
Explanation: Let boys =3x and girls =2x.
Number of those who get less than 90% mark =(80% of 3x) + (75% of 2x)
=(80/100 )*3x +(75/100 *2x) =39x/10
Required percentage = (39x/10 *1/5x *100)% = 78%.
ANSWER:C
Question: If six persons sit in a row, then the probability that three particular persons are always together is?
A.1/9
B.1/6
C.1/5
D.1/2
Answer: C.1/5
Explanation: Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5
Answer: C
Question: 2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 1/2 of the red fish and 1/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
A.3/20
B.7/30
C.5/16
D.1/4
Answer: D.1/4
Explanation: 1/2*2/5 + 1/5*1/4 = 1/4
The answer is D.
Question: Venus travels around the Sun at an approximate speed of 21 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)
A.84,000
B.126,000
C.135,000
D.148,000
Answer: B.126,000
Explanation: The speed is 21 miles/s. Then 21/0.6 = 35 km/s
35*3600 = 126,000 kph
The answer is B.
Question: Find the product of the localvalue and absolutevalue of 3 in 20368?
A.1000
B.1100
C.1200
D.900
Answer: D.900
Explanation: Local value of 3 = 3 x 100 = 300
Place value of 3 = 3
There fore = 3 x 300 = 900
D