RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=3/5, what is the ratio of rectangle A’s area to rectangle B’s area?
A.5/3
B.9/5
C.9/25
D.3/5
Answer: C.9/25
Explanation: The area of rectangle A is ab.
c=5a/3 and d=5b/3.
The area of rectangle B is cd=25ab/9.
The ratio of rectangle A's area to rectangle B's area is ab / (25ab/9) = 9/25.
The answer is C.
Question: The third proportional to 3 and 6 is?
A.8
B.7
C.12
D.5
Answer: C.12
Explanation: (6*6)/3 = 12
Answer:C
Question: At what rate percent of simple interest will a sum of money double itself in 12 years?
A.8 1/8
B.8 1/3
C.8 1/0
D.8 1/2
Answer: B.8 1/3
Explanation: Let sum = x. Then, S.I. = x.
Rate = (100 * S.I.) / (P * T) = (100 * x) / (x * 12)
= 25/3 = 8 1/3 %
Answer: B
Question: Let A be the event that a randomly selected two digit number is divisible by 10 and let B be the event that a randomly selected two digit number is divisible by 5. What is P(A and B)?
A.1/50
B.1/30
C.1/15
D.1/10
Answer: A.1/50
Explanation: P(A and B) = 1/10*1/5 = 1/50
The answer is A.
Question: Out of 15 students in a class, 9 are wearing blue shirts, 3 are wearing green shirts, and 3 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
A.28/61
B.38/71
C.48/81
D.58/91
Answer: D.58/91
Explanation: Total possible ways to choose 4 students out of 15 = 15C4 = 1365
The number of ways to choose 4 students with no green shirts = 12C4 = 495
P(no green shirts) = 495/1365 = 33/91
P(at least 1 green shirt) = 1 - 33/91 = 58/91
The answer is D.
Question: Find the simple interest on Rs. 68,000 at 16 2/3% per annum for 9 months.
A.Rs.8500
B.Rs.8000
C.Rs.7500
D.Rs.7000
Answer: A.Rs.8500
Explanation: P = Rs.68000,R = 50/3% p.a and T = 9/12 years = 3/4years.
S.I. = (P*R*T)/100 = Rs.(68,000*(50/3)*(3/4)*(1/100))
= Rs.8500
Answer is A.
Question: Which of the following numbers is divisible by 8?
A.10021
B.17511
C.26778
D.18520
Answer: D.18520
Explanation: 18520. This is the only option with last two digits divisible by 8
Answer:D
Question: At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $60,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?
A.$24,000
B.$28,000
C.$32,000
D.$36,000
Answer: D.$36,000
Explanation: The answer should be -> D. $36,000
Question: Mike took a bus from home to market, that travels at 30 kmph. While walking back at 6 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 20 kmph. Find the average speed.
A.21.2 kmph
B.12.1 kmph
C.23.4 kmph
D.20.4 kmph
Answer: A.21.2 kmph
Explanation: Let the distance be 2x(one way)
Time taken by bus = 2x/30, by walking =x/6, by cycling = x/20 hours
:. Average speed = Total Distance/Total time
= 6x / x/15 + x/6 + x/20
= 6 *60 / 4+10+3
= 21.2
ANSWER:A
Question: If the speed of X meters per hour is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)
A.0.1X
B.0.01X
C.0.001X
D.0.0001X
Answer: C.0.001X
Explanation: X meters per hour -->
--> 1X meters per hour(as there are 3,600 seconds in one hour);
--> X/1,000=0.001X kilometers per hour (as there are 1,000 meters in one kilometer).
Answer: C.
Question: A certain car increased its average speed by 5 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 2 miles per hour, how many miles did the car travel in the third 5-minute interval?
A.1.0
B.1.5
C.2.0
D.2.5
Answer: A.1.0
Explanation: In the third time interval the average speed of the car was 2+5+5=12 miles per hour;
In 5 minutes (1/12 hour) at that speed car would travel 12*1/12=1 miles.
Answer: A.
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration W of the acid in the mixture?
A.1/2
B.1/3
C.1/4
D.1/6
Answer: D.1/6
Explanation: Do not need any computation
30%-----------21%---------12%
if volume of both sol. were equal the concentration W would be 21%=1/5, but 12% is more than 3 times
only possibility is 1/6
D
Question: The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
A.30 m2
B.40 m2
C.50 m2
D.60 m2
Answer: D.60 m2
Explanation: l = 10 m,
h = 8 m.
So, r = l2 - h2 = (10)2 - 82 = 6 m.
Curved surface area = rl = ( x 6 x 10) m2 = 60 m2.
Answer: Option D
Question: David obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
A.65
B.69
C.72
D.75
Answer: D.75
Explanation: Solution
Average =
(76+65+82+67+85 / 5)	=(375 / 5)
= 75.
Answer D
Question: x and y are positive integers of V. If 1/x + 1/y < 2, which of the following must be true?
A. x + y > 4
B. xy>1
C. x/y + y/x < 1
D. (x - y)^2 > 0
Answer: B. xy>1
Explanation: Answer is B:
1/X + 1/Y < 2
The maximum value of 1/X is 1 because if X equals any other number greater than one it will be a fraction. The same is true with 1/Y.
So 1/X and 1/Y will always be less than 2 as long as both X and Y are not both equal to one at the same time.
Another way of putting it is:
X*Y>1.B
Question: What is the sum of 100 consecutive integers from -49 inclusive, in a increasing order?
A.-29
B.50
C.-30
D.30
Answer: B.50
Explanation: From -49 to -1 --> 49 nos.
zero --> 1 number
from +1 to +49 --> 49 nos.
When we add up nos. from -49 to + 49 sum will be zero. Total 99 nos will be added.
100th number will be 50.
Sum of these 100 nos. = 50.
B is the answer.
Question: We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $550. How many green hats did we buy?
A.A)36
B.B)40
C.C)41
D.D)42
Answer: B.B)40
Explanation: Let B be the number of blue hats and let G be the number of green hats.
B+G=85.
B=85-G.
6B+7G=550.
6(85-G)+7G=550.
510-6G+7G=550.
G=550-510=40.
The answer is B.
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
A.1 / 3
B.1 / 4
C.1 / 5
D.1 / 7
Answer: C.1 / 5
Explanation: Suppose the vessel initially contains 8 litres of liquid. Let x littres of this liquid be replaced with water.
Quantity of water in new mixture = (3 - 3x/8 + x) litres.
Quantity of syrup in new mixture = (5 - 5x/8) litres.
(3 - 3x/8 + x) = (5 - 5x/8) = 5x + 24 = 40 - 5x
=› 10x = 16 =› x = 8/5
So, part of the mixture replaced = (8/5 x 1/8) = 1/5.
Answer C
Question: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A.700
B.680
C.720
D.760
Answer: A.700
Explanation: Apples Sold = 40%
So Remaining Apples = 60%
60% = 420
Full (100%) = (100/60) X 420
= 700
answer :A
Question: Suppose you want to buy three loaves of bread that cost $0.75 each
and a jar of peanut butter that costs $7. A jar of jelly is $2.75, but you
donâ€™t need any jelly. You have $17. How much money will you have left
over?
A.$7.75
B.$7.50
C.$3.50
D.$4.50
Answer: A.$7.75
Explanation: The jelly is extra information. 17.00 â€“ 3 x 0.75 â€“ 7.00 =
17.00 â€“ 2.25 â€“ 7.00 = 7.75.
You have $7.75 left.
correct answer A
Question: For positive integers n, the integer part of the nth term of sequence F equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, F_1 = 1.2345678…, while F_2 = 2.4681012… The sum of the first seven terms of sequence F is between:
A.28 and 29
B.29 and 30
C.30 and 31
D.31 and 32
Answer: C.30 and 31
Explanation: First, construct the first seven terms, though only out to a few decimal places, following the given pattern.
F_1 = 1.23…
F_2 = 2.46…
F_3 = 3.69…
F_4 = 4.812…
F_5 = 5.10…
F_6 = 6.12…
F_7 = 7.14…
Now, to add up the first seven terms, you should be strategic about how many decimal places to keep. You can drop the hundredths place and get a good approximation with the tenths place—and if you find the sum too close to a boundary between choices, then you can refine your answer if necessary.
1.2 + 2.4 + 3.6 + 4.8 + 5.1 + 6.1 + 7.1 = 30.3
Including more decimal places would only add a couple of tenths to the sum—not enough to tip the sum over 31.
The correct answer is C.
Question: Nobel buys an old car for $1000 and spends $1000 on its repairs. If he sells the scooter for $2500, his gain percent is?
A.10%
B.15%
C.25%
D.20%
Answer: C.25%
Explanation: C.P. = 1000+1000 = $2000
S.P. = $2500
Gain = 2500-2000 = $500
Gain% = 500/2000 * 100 =25%
Answer is C
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 5 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
A.Rs.1178.55
B.Rs.1978.25
C.Rs.1332.5
D.Rs.1678
Answer: C.Rs.1332.5
Explanation: (x*5*3)/100 = ((2665 - x)*3*5)/100
15x/100 = 39975/100 - 15x/100
30x = 39975 => x = 1332.5
Second sum = 2665 – 1025 = 1332.5
ANSWER:C
Question: An employee’s annual salary was increased $25,000. If her new annual salary now equals $90,000, what was the percent increase?
A.15%
B.162⁄3%
C.20%
D.38.46%
Answer: D.38.46%
Explanation: New annual salary = $90,000
Salary increase = $25,000.
Original salary = $90,000 - $25,000.
= $75,000
%Increase = ($25,000/ $65,000 )*100
=38.46%
Hence D.
Question: What is the smallest number which when diminished by 10, is divisible 2, 6, 12 and 24?
A.35
B.34
C.20
D.35
Answer: B.34
Explanation: Required Number
= (LCM of 2, 6, 12 and 24) + 12
= 24 + 10 = 34
Option B
Question: A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 2.3 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
A.2.0
B.2.5
C.3.0
D.3.5
Answer: A.2.0
Explanation: 72 km/hr = 1.2 km/min
The total distance is 2.4 km.
2.4 / 1.2 = 2 minutes
The answer is A.
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
A.50
B.88
C.77
D.55
Answer: A.50
Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m.
Relative speed = 72 -36 = 36 kmph = 36 * 5/18 = 10 mps.
Time required = d/s = 500/10 = 50 sec.
Answer: A
Question: Find the largest 4 digit number which isexactly divisible by 88?
A.7890
B.8900
C.9944
D.9976
Answer: C.9944
Explanation: Largest 4 digit number is 9999
After doing 9999 ÷ 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944
C
Question: Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time ,the rate of interest being the same ?
A.Rs. 10
B.Rs. 10.40
C.15.20
D.Rs. 13
Answer: B.Rs. 10.40
Explanation: Solution
S.I. on Rs. (260-20) for a given time =Rs. 7.34.
S.I. on Rs. 240 for half the time = Rs.10.
T.D. on Rs. 250 = Rs. 10.
∴ T.D. on Rs. 260 = Rs. ( 10/250x 260 ) = Rs. 10.40.
Answer B
Question: 2056 x 987 = ?
A.1936372
B.2029272
C.1896172
D.1926172
Answer: B.2029272
Explanation: Answer: Option B
2056 x 987	= 2056 x (1000 - 13)
= 2056 x 1000 - 2056 x 13
= 2056000 - 26728
= 2029272.
Question: A watch was sold at a loss of 46%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.280
B.288
C.279
D.277
Answer: A.280
Explanation: 54%
104%
--------
50% ---- 140
100% ---- ? => Rs.280
Answer: A
Question: ABCD is a square where AB =√2016. Let X be a point on AB and Y be a point on CD such
that AX = CY . Compute the area of trapezoid AXYD.
A.3008
B.2002
C.1008
D.2016
Answer: C.1008
Explanation: Note that trapezoids AXY D and BXY C are congruent, so the area of AXY D is
always
2016/2= 1008 .
correct answer C
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
A.8000
B.8020
C.2879
D.2686
Answer: A.8000
Explanation: 8820 ---- 441
100 ---- ? => 5%
x *105/100 * 105/100 = 8820
x*1.1025=8820
x=8820/1.1025 => 8000
Answer: A
Question: Two taps A and B can fill a tank in 5 hours and 20hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?
A.24 hr
B.36 hr
C.18 hr
D.42 hr
Answer: B.36 hr
Explanation: Part filled by A+B in 1 hour = 1/5 + 1/20 = 1/4
A and B together can fill the tank in 4 hour
Work done by the leak in 1 hour = 1/4 - 2/9 = 1/36
leak will empty the tank in 36 hours.
Answer is B
Question: A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold. Which of the following expresses this relationship ?
A. x > 10y
B. x > y + 10
C. x > y – 10
D. x = y + 10
Answer: D. x = y + 10
Explanation: Let number of used cars sold in May = x
number of new cars sold in May = y
x= y + 10
Answer D
Question: Peter will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
A.5
B.6
C.9
D.24
Answer: A.5
Explanation: Peter will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row.person with max height is in the second row, person with min height is in the first row. We need to select 1 person in the middle of each row... In the middle of the first row we can put only 2, 3 or 4. In the middle of the second row we can put only 3, 4, 5. If we select {3 in the sec. row, 2 in the first}, {4,2}, {5,2}, {4,3}, {5,3}, {5,4}. So, there are 0*1 + 1*1 + 2*1 + 1*1 + 1*1 + 0*1 = 5 cases...A
Question: A man can row with a speed of 5 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
A.A)63kmph
B.B)63kmph
C.C)10kmph
D.D)62kmph
Answer: C.C)10kmph
Explanation: Explanation:
M = 5
S = 5
DS = 5 + 5 = 10
Answer: Option C
Question: A train 640 meters long is running with a speed of 64 kmph. The time taken by it to cross a tunnel 140 meters long is?
A.44 sec
B.49 sec
C.48 sec
D.16 sec
Answer: A.44 sec
Explanation: D = 640 + 140 = 780
S = 64 * 5/18 = 17.7 mps
T = 780/17.7 = 44 sec
Answer: A
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 1 order of $120 ?
A. $1
B. $2
C. $3
D. $4
Answer: D. $4
Explanation: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$
Total cost involved for a 120$ shipment: 3+3 = 6$.
The difference = 4$.
D.
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
A.10 sec
B.17 sec
C.18 sec
D.16 sec
Answer: A.10 sec
Explanation: RS = 60 -40 = 20 * 5/18 = 100/18
T = 50
D = 50 * 100/18 = 2500/9
RS = 60 + 40 = 100 * 5/18
T = 2500/9 * 18/500
= 10 sec
Answer: A
Question: r=2^(n+1), then in terms of r, 9^n=
A.r^2/81
B.r^2/9
C.r^2/4
D.r/3
Answer: C.r^2/4
Explanation: Questions in terms of variables can be easily solved by plugging in some values: Say n = 0
r = 2^1 = 2
and you need the value of 2^n which is 2^0 = 1
So when you put r = 2 in the options, you should get 1. Only option (C) satisfies.
Answer (C)
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?
A.1/2
B.1/3
C.1/4
D.1/6
Answer: D.1/6
Explanation: 150 ml solution contains 45 ml sulphuric acid
400 ml solution contains 48 ml sulphuric acid
Adding
550 ml solution contains 93 ml sulphuric acid
93/550≈90/540=1/6
Answer is D
Question: On a sum of money, the S.I. for 2 years is $660, while the C.I. is $693, the rate of interest being the same in both the cases. The rate of interest is?
A.10%
B.32%
C.72%
D.14%
Answer: A.10%
Explanation: Difference in C.I. and S.I for 2 years = $693 - $660 = $33
S.I for one year = $330
S.I. on $330 for 1 year = $33
Rate = (100 * 33)/(330) = 10%
The answer is A.
Question: Two cubes of their volumes in the ratio 8 : 125. The ratio of their surface area is:
A.1.5:5
B.2:5
C.3:5
D.1:5
Answer: B.2:5
Explanation: The ratio of their surface area is
8 : 125
2 : 5
Answer is B.
Question: The compounded ratio of (2:3), (6:11) and (11:2) is
A.2 : 1
B.1 : 2
C.36 : 121
D.11 : 24
Answer: A.2 : 1
Explanation: Sol.
Required ratio = [2/3 x 6/11 x 11/2] = 2/1
= 2 : 1.
Answer A
Question: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/5 of the remaining balance, what will be the final balance in her bank account?
A.300
B.360
C.400
D.500
Answer: B.360
Explanation: As per the question 200=2a/5
thus- a which is the total amount =500
The amount thus left =300
She then deposited 1/5 of 300=60
total amount in her account =360
Answer B
Question: If each year the population of the country grows by 20%, how many years will elapse before the population of the country doubles?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: Till Year 2000, population is 100 .
Year 2001: Population becomes 120 ............. 1 Year elapsed
Year 2002: Population becomes 144 ............. 2 Year elapsed
Year 2003: Population becomes 172 ............. 3 Year elapsed
Year 2004: Population > 200 .................. 4 year elapsed
Answer:B
Question: A man can ride on motorcycle at 50 kmph upward road and 100 kmph downward road. He takes 12 hours to ride motorcycle uphill from lower point A to upper point B and back to A. What is the total distance traveled by him in 12 hours? He must return back to base point A in remaining time.
A.1000
B.900
C.800
D.400
Answer: C.800
Explanation: Upward distance traveled per hour - 50 km,
distance traveled after 8 hours = 400 km.
He remained with 4 hours travel downward, i.e. distance traveled in remaining 4 hours downward = 400 km
so total distance traveled from A to B and Back to point A = 400 km upward + 400 km downhill = 800 km
(Answer : C)
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A. 31/32 B. 1/16
A.31/32
B.31/89
C.31/25
D.31/17
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: A number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r. What is the greatest two digit prime saturated integer ?
A.99
B.98
C.97
D.96
Answer: D.96
Explanation: Clearly D A number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r.
96 has more number of smaller prime factor thats the clue !!=D
Question: the average distance between the sun and a certain planet is approximatly 2.1 10^15 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
A.6.4 x(10)^10
B.5.4 x(10)^10
C.7.4 x(10)^10
D.2.4 x(10)^10
Answer: B.5.4 x(10)^10
Explanation: No need to solve entire problem.
Distance in KM = 21*(10)^15/39*(10)^4 which is -210*(10)^14/39*(10)^4 = 5.4 x(10)^10
Answer : B
Question: 597**6 is divisible by both 3 and 11. The non-zero digits in the Hundred’s and ten’s places are respectively:
A.3 and 6
B.7 and 9
C.2 and 6
D.4 and 7
Answer: A.3 and 6
Explanation: Solution : Let the given number be 597xy6.
Then (5+9+7+x+y+6)=(27+x+y) must be divisible by 3
And, (6+x+9)-(y+7+5)=(x-y+3) must be either 0 or divisible by 11. x-y+3=0
=> y=x+3 27+x+y)
=>(27+x+x+3)
=>(30+2x)
=> x = 3 and y = 6.
Answer A
Question: If two numbers are in the ratio 2:3 and the numerator and denominator are added and subtracted by1 and 2 respectively, then the ratio becomes 6:2, then find the smallest number?
A.2
B.1
C.3
D.4
Answer: A.2
Explanation: 2:3
2x + 1 : 3x - 2 = 3 : 1
[2x + 1] = 3[3x - 2]
2x + 1= 9x -6
9x - 2x = 7
x = 1
Then smallest number is = 2x
2x = 2
A
Question: For which of the following does y(a)−y(b)=y(a−b) for all values of a and b?
A.y(x)=x^2
B.y(x)=x/2
C.y(x)=x+5
D.y(x)=2x−1
Answer: B.y(x)=x/2
Explanation: To solve this easiest way is just put the value and see that if it equals or not.
with option 1. y(a) = a^2 and y(b) = b^2
so L.H.S = a^2 - b^2
and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.
so L.H.S not equal to R.H.S
with option 2. y(a) = a/2 and y(b) = b/2
L.H.S = a/2 - b/2 ==> 1/2(a-b)
R.H.S = (a-b)/2
so L.H.S = R.H.S which is the correct answer.
answer:B
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
A.2: 5
B.2: 0
C.2: 2
D.2: 3
Answer: D.2: 3
Explanation: 80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3
x = 280.Answer: D
Question: Fiind the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
A.5200
B.2882
C.5460
D.2342
Answer: C.5460
Explanation: 5000 * 104/100 * 105/100
=> 5460
Answer: C
Question: Salaries of Prasanna and Sathish are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sathish's present salary?
A.Rs. 15000
B.Rs. 18000
C.Rs. 38000
D.Rs. 43000
Answer: C.Rs. 38000
Explanation: Sol.
Let the original salaries of Prasanna and Sathish be Rs. 2x and
Rs. 3x respectively. Then,
2x + 4000 / 3x + 4000 = 40/57
⇔ 57(2x + 4000) = 40(3x + 4000)
⇔ 6x = 68000
⇔ 3x = 34000.
Sathish's present salary = (3x + 4000) = (34000 + 4000) = Rs.38000.
Answer C
Question: A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
A.26 min 18 sec
B.42 min 36 sec
C.45 min
D.46 min 12 sec
Answer: D.46 min 12 sec
Explanation: L.C.M of 252, 308 and 198 = 2772
So, A, B and C will again meet at the starting point in 2772 sec, i.e., 46 min 12 sec.
ANSWER:D
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
A.1268
B.1000
C.1786
D.1778
Answer: B.1000
Explanation: X * (110/100) * (95/100) = 1045
X * (11/10) * (1/100) = 11
X = 1000
Answer: B
Question: Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 10 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?
A. $1500
B. $1720
C. $1600
D. $1300
Answer: A. $1500
Explanation: Total tax for the year = 22,500 x 10% = 2250
As stated Annual tax is prorated as per the duration of stay.
Prorated Tax = 900 (8/12) = 1500
Answer A
Question: The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
A.21
B.67
C.18
D.25
Answer: B.67
Explanation: 1 to 11 = 11 * 49 = 539
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 539 = 67
Answer:B