RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A is twice as good a workman as B and they took 8 days together to do the work B alone can do it in.
A.24 days
B.12 days
C.29 days
D.25 days
Answer: A.24 days
Explanation: WC = 2:1
2x + x = 1/8
x = 1/24 => 24 days
ANSWER:A
Question: A can do a job in 16 days, B can do same job in 12 days. With the help of C they did the job in 4 days. C
alone can do the same job in how many days ?
A.612days
B.712days
C.835days
D.935days
Answer: D.935days
Explanation: Explanation:
In this question we having, A's work, B's work and A+B+C work. We need to calculate C's work.
We can do it by,
(A+B+C)'s work - (A's work + B's work)
Let's solve it now:
C's 1 day work =
14−(116+112)=(14−748)=548
So C can alone finish the job in 48/5 days,
Which is =
935days
Answer: D
Question: Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 25% more than Bert had in savings, and separately, the same price was also 50% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
A.1:5
B.2:5
C.3:5
D.4:5
Answer: B.2:5
Explanation: Suppose bert had 100 so price becomes 125 , this 125 = 1.5 times R's saving .. so R's saving becomes 250
So required ratio is 100:250=2:5
ANSWER:B
Question: A cylindrical vessel of a certain height and radius can hold 30 liters of water in it when filled to the brim. All the water in the cylindrical vessel is transferred to a spherical vessel. If the height and radius of the cylindrical vessel is the same as the radius of the spherical vessel, what percentage of the capacity of the spherical vessel will remain empty after the transfer?
A.0%
B.16.67%
C.25%
D.33.33%
Answer: C.25%
Explanation: Let R and H be the radius and height of the cylinder.
Let r be the radius of the sphere.
Volume of cylinder = Vc = π∗R2∗Hπ∗R2∗H = 30---> As both radius and height of the cylinder are equal to the radius of the sphere ---> R=H=r --->π∗r3π∗r3 = 30
Additionally, volume of the sphere = Vs =4π∗r334π∗r33 = 4/3*30 = 40 l
Thus the % of sphere volume still empty = 10/40 = 25%. C is the correct answer
Question: A fruit seller had some oranges. He sells 30% oranges and still has 420 oranges. How many oranges he had originally?
A.420
B.600
C.220
D.400
Answer: B.600
Explanation: Explanation :
He sells 30% of oranges and still there are 420 oranges remaining
=> 70% of oranges = 420
⇒ (70 × Total Oranges)/100 = 420
⇒ Total Oranges/100 = 6
⇒ Total Oranges = 6 × 100 = 600
Answer : Option B
Question: A man is 18 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is
A.20 years
B.16 years
C.22 years
D.24 years
Answer: B.16 years
Explanation: Explanation:
Let the son's present age be x years. Then, man's present age = (x + 18) years
=> (x + 18) + 2 = 2(x + 2)
=> x + 20 = 2x + 4
So, x = 16
Answer: Option B
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts 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
B.1/2
C.1/5
D.1/7
Answer: C.1/5
Explanation: Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
Quantity of water in new mixture = 3 -	3x	+ x litres
8
Quantity of syrup in new mixture = 5 -	5x litres
8
3 -	3x	+ x = 5 -	5x
8	8
5x + 24 = 40 - 5x
10x = 16
x =	8	.
5
So, part of the mixture replaced = 8	x	1 =	1	.
5	8	5
Option C
Question: A man desired to get into his work building, however he had forgotten his code.
However, he did recollect five pieces of information
-> Sum of 5th number and 3rd number is 14.
-> Difference of 4th and 2nd number is 1.
-> The 1st number is one less than twice the 2nd number.
->The 2nd number and the 3rd number equals 10.
->The sum of all digits is 30.
Crack the code ?
A.7+4+5+5+9
B.7+4+6+5+8
C.7+4+7+5+9
D.6+4+6+5+9
Answer: B.7+4+6+5+8
Explanation: Solution:
74658
* 8 + 6 =14
* 5 - 4 = 1
* 7 = 2*4 - 1
* 4 + 6 = 10
* 7+4+6+5+8 = 30
Answer B
Question: On a Monday in a certain restaurant, 20 percent of the 160 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.14%
B.16%
C.18%
D.23%
Answer: A.14%
Explanation: 20% of 160= 32
10% of 120=12
Total =44
percent for 2 days combined =44/300 ≈ 0.1466. so it should be less than 0.1466 so it is 14%
Answer:A
Question: The mean of four integers Q will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
A.I only
B.II only
C.III only
D.I and II only
Answer: A.I only
Explanation: If we consider a set {1,2,3,4}, when multiplied with a constant we take that constant as 1 and multiply resulting set will contain the same numbers as the original. so how can the answer be I only.....A
Question: Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 14 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip?
A.36
B.42.5
C.44
D.50
Answer: A.36
Explanation: Total Time taken by jerry = (8/40)*60 Minutes + 14 Minutes + (20/60)*60 Minutes = 46 Minutes
Average Speed = Total Distance / Total Time = (8+20) miles / (46/60)Hours = 28*60 / 46 = 36 Miles per hour
Answer: option A
Question: P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:
A.35000
B.40000
C.50000
D.60000
Answer: D.60000
Explanation: Suppose Q invested Rs. y. Then, 40000/y = 2/3 or y = [40000 x 3 / 2] = 60000.
Answer D
Question: Each of the following equations E has at least one solution EXCEPT
A.E=–2^n = (–2)^-n
B.E=2^-n = (–2)^n
C.2^n = (–2)^-n
D.(–2)^n = –2^n
Answer: A.E=–2^n = (–2)^-n
Explanation: While it is possible to reason out which of these choices must not work, we may not have time or the confidence to do so. However, this problem has variable in its answer choice, and relatively simple math. Therefore, an easy alternative is picking numbers.
Since we're dealing with exponents, we want to keep things as easy as possible. Hence, we'll start with the easiest exponent possible: n = 1. A, B, and C are not solved (x^-n = 1/(x^n), so we're comparing integers to fractions), but choices D and E both end up valid, eliminating them from contention.
In the process of doing this, however, we've uncovered a major clue to our next step: A, B, and C, all compared integers to fractions, and the only integer equal to it's reciprocal is 1, which is equal to 1/1. This, in turn, tells us the we need to pick n = 0. Remember, for all non-zero x, x^0 = 1.
If we plug n = 0 into choices B and C, we end up with 1 = 1 both times. Choice A, however, results in the false 1 = -1. Thus, we conclude that the first choice has no valid solutions, and is therefore the correct answer.
Question: If 10 farmers can reap a field in 8 days, then 8 farmers will reap the same field in :
A.5 days
B.10 days
C.4 days
D.20 days
Answer: B.10 days
Explanation: Explanation :
8 : 10 :: 8 : x
or 8x = 10 * 8
or x = 10.
Required number of days 10.
Answer : B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 100 resolutions.
A.140 m
B.141 m
C.142 m
D.143 m
Answer: B.141 m
Explanation: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 100 resolutions.
= 100 * 2 * 22/7 * 22.4
= 14100 cm
= 141 m
Answer: B
Question: If the square root of 5625 is 75, then
√5625 + √56.25 + √0.5625 is equal to
A.82.25
B.80.25
C.79.25
D.83.25
Answer: D.83.25
Explanation: √5625 = 75; √56.25 = 7.5; √. 5625 = .75
-- > 75+7.5+0.75 = 83.25
Answer is D.
Question: A grocer has a sale of Rs. 5266, Rs. 5768, Rs. 5922, Rs. 5678 and Rs. 6029 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600?
A.4637
B.4737
C.4937
D.5937
Answer: C.4937
Explanation: Total sale for 5 months = Rs. (5266 + 5768 + 5922 + 5678 + 6029) = Rs. 28663.
Required sale = Rs. [ (5600 x 6) - 28663 ]
= Rs. (33600 - 28663)
= Rs. 4937.
ANSWER:C
Question: The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theoundary of the park at the speed of 12km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
A.145010 m
B.146400 m
C.153600 m
D.164500 m
Answer: C.153600 m
Explanation: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Question: A dog travelled for 2 hours. He covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph. Find the distance travelled by the dog?
A.20 km
B.16 km
C.6 km
D.3 km
Answer: A.20 km
Explanation: Let the distance travelled be x km.
Total time = (x/2)/10 + (x/2)/5 = 2 => x/20 + x/10
= 2 => (1x + 2x)/20 = 2 => x
= 20 km
Answer: A
Question: How many words can be formed by using all letters of the word ‘CAT’ ?
A.4
B.6
C.8
D.10
Answer: B.6
Explanation: The word contains 3 different letters.
The number of permutations is 3! = 6
The answer is B.
Question: Two trains each 120m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 85km/h while the other travels at 65km/h. how long will it take for them to pass each other completely.
A.11.07 sec
B.10.07 sec
C.13.07 sec
D.12.07 sec
Answer: B.10.07 sec
Explanation: Explanation:
D = 120 m +120 m = 240 m
RS = 85 + 65 = 150 * 5/18 = 417/10
T = 420 * 10/417 = 10.07 sec
Answer: Option B
Question: A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
A.17 years
B.62 years
C.12 years
D.16 years
Answer: C.12 years
Explanation: 100 ---- 200 ---- 4
400 ---- 4
800 ---- 4
------
12 years
Answer: C
Question: Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
A.5507
B.5500
C.5508
D.5502
Answer: B.5500
Explanation: Let the amount lent out at 8% p.a. be Rs. A
=> (A * 8)/100 + [(10000 - A) * 10]/100 = 890
=> A = Rs. 5500.
Answer: B
Question: 3 machines a,b,c can be used to produce a product. Machine a will take 60 hours to produce a million units. Machine b is twice as fast as machine a. Machine c takes the same amount of time as machine a and b taken together. How much time will be required to produce a million units if all the three machines are used simultaneously?
A.12 hours
B.10 hours
C.8 hours
D.9 hours
Answer: B.10 hours
Explanation: 1 hour capacity of
Machine a =1/60 million
Machine b =2*(1/60)=1/30 million
Machine c =(1/60)+(1/30)=1/20 million
So in 1 hour Machines a,b & c will produce (1/60)+(1/30)+(1/20)=1/10 million
Time taken to produce 1 million units=1/(1/10)=10 hours
ANSWER:B
Question: Five persons are to be selected from a group of 7 males and 6 females to form party so that at least 3 male members are there on the committee. What are the possible number of ways to form the party ?
A.756
B.765
C.785
D.789
Answer: A.756
Explanation: From a group of 7 men and 6 women, five persons are to be selected with at least 3 men. So we can have (5 men) or (4 men and 1 woman) or (3 men and 2 woman) (7C5)+(7C4 * 6C1)+(7C3** 6C2)=[21+35*6+35*15]=756
Answer A
Question: If 0.75 : x :: 10 : 8, then x is equal to:
A.A)0.6
B.B)0.8
C.C)0.85
D.D)0.5
Answer: A.A)0.6
Explanation: (x * 10) = (0.75 * 8)
x = 6/10
x = 0.6
Answer = A
Question: In country Z, 18% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?
A.37%
B.45%
C.55%
D.65%
Answer: A.37%
Explanation: Setting up a matrix is how I solve this one.
Diploma No Diploma Totals
Job of Choice w/Diploma
Job of Choice w/o Diploma = 18%
Job of Choice Total = 40%
Not Job of Choice with Diploma =.25X
Not Job of Choice w/o Diploma= .75X
Total Not Job of Choice = X
Total with Diploma
Total without Diploma
Total citizen = 100
If 40% of people have their job of choice, then 60% of people do NOT have their job of choice. 25% of 60% = 15%. We can also see that 30% of the people have their job of choice and a diploma (40%-18%=22%). 22% + 15% =37%. Therefore 37% of the people in Country Z have a diploma.
Ans A
Question: On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested 2,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
A.$5
B.$15
C.$50
D.$100
Answer: A.$5
Explanation: Compounded annually means that the interest is applied once per year. One can have 10% annual interest compounded monthly - in this case 10%/12 would be applied each month, or 10% annual interest compounded daily etc.
With respect to the problem at hand, at the end of two years, Tim would have
1,000(1.10)^2 = 1,000(1.21) = 1,210
and Lana would have
2,000(1.05)^2 = 2,000(1.1025) = 2,205
Thus, Tim earned 210 dollars, while Lana earned 205 dollars
The difference is $5 and the answer is A.
Question: Peter invests $100,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more does Martha’s account have?
A.Zero
B.$68.25
C.$682.50
D.$6825.00
Answer: C.$682.50
Explanation: At the end of 1 year Peter gets an interest of - Rs 12000
At the end of 1 year Martha gets an interest of = 100000(1+0.12/12)^12=100000(1.01^12)= 112682.50 -100000 = 12682.50 $
Therefore Martha has 12682.50-12000 = 682.50 $ more than Peter at the end of 1 year.
Option (C)
Question: A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 300 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
A.1
B.2
C.4
D.6
Answer: D.6
Explanation: The distance between the nest and the ditch is 300 meters.
15 times mean = A crow leaves its nest, and flies back ( going and coming back) i.e. 2 times we get total 30 rounds.
So the distance is 30 * 300 = 9000.
D = ST
9000/1.5 = T , I think we can take 9000 meters as 9 km, then only we get T = 6.( 1000 meters = 1 km)
D)
Question: How many pieces of 75 cm can be cut from a rope 60 meters long?
A.80
B.40
C.60
D.None
Answer: A.80
Explanation: Explanation :
Total pieces of 75 cm that can be cut from a rope of 60 meters long is
= (60 meters)/(75 cm)
= (60 meters)/(0.75 meters)
= 80
Answer : A
Question: How many cubes of edge 2 dm can be cut out of a meter cube?
A.296
B.289
C.270
D.125
Answer: D.125
Explanation: 1 * 1* 1 = 2/10 * 2/10 * 2/10 * x
x = 125
Answer:D
Question: Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil's age. After further 8 years, how many times would he be of Sunil's age?
A.4 times
B.2 times
C.3 times
D.5 times
Answer: B.2 times
Explanation: Assume that Sunil's present age =x.
Then, father's present age =3x+x=4x
After 8 years, father's age =212 times of Sunils' age
⇒(4x+8)=212(x+8)⇒4x+8=52(x+8)⇒8x+16=5x+40⇒3x=40−16=24⇒x=243=8
After further 8 years,
Sunil's age =x+8+8=8+8+8=24
Father's age =4x+8+8=4×8+8+8=48
Father's age/Sunil's age =4824=2.
Answer is B.
Question: The C.P of 15 pens is equal to the S.P of 18 pens. Find his gain% or loss%?
A.12 2/4%
B.17 2/6%
C.16 2/3%
D.16 2/7%
Answer: C.16 2/3%
Explanation: C
15 CP = 18 SP
18 --- 3 CP loss
100 --- ? => 16 2/3% loss
Question: If a quarter kg of onions costs 90 paise, how many paise will 100 gm cost?
A.36 paise
B.65 paise
C.56 paise
D.87 paise
Answer: A.36 paise
Explanation: Explanation:
Let the required cost be x paise.
Less weight, Less cost (Direct proportion)
250 : 100 : : 90 : x
250 * x = (100 * 90)
x = (100 * 90) / 250
x = 36
ANSWER: A
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 36 km/hr
A.8.5 seconds
B.10 seconds
C.3.5 seconds
D.2.5 seconds
Answer: B.10 seconds
Explanation: First convert speed into m/sec
Speed = 36*(5/18) = 10 m/sec
Time = Distance/speed
= 100/10 = 10 seconds
Answer: B
Question: Which of the following is the lowest positive integer that is divisible by the first 8 positive integer multiples of 5?
A.2100
B.4200
C.6300
D.8400
Answer: B.4200
Explanation: The number must be divisible by 5, 2*5, 3*5, 2^2*5, 5^2, 2*3*5, 7*5, and 2^3*5.
The lowest such number is 2^3*3*5^2*7 = 4200.
The answer is B.
Question: All the stocks on the over-the-counter market are designated by either a 7 letter or 6 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
A.2(26^5)
B.26(26^4)
C.27(26^6)
D.26(26^5)
Answer: C.27(26^6)
Explanation: with 7 letters: 26^7
with 6 letters: 26^6
26^7 + 26^6 = 27*(26^6)
C
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
A.22 hours
B.28 hours
C.77 hours
D.75 hours
Answer: B.28 hours
Explanation: 1/A + 1/B + 1/C = 1/8 (Given)
Also given that A = 2B and B = 2C
=> 1/2B + 1/B + 2/B = 1/8
=> (1 + 2 + 4)/2B = 1/8
=> 2B/7 = 8
=> B = 28 hours.
Answer:B
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
A.200
B.929
C.400
D.600
Answer: D.600
Explanation: Ratio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6
And also given that, profit share of B is Rs. 1500
=> 5 parts out of 15 parts is Rs. 1500
Now, required difference is 6 - 4 = 2 parts
Required difference = 2/5 (1500) = Rs. 600
Answer:D
Question: The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
A.6.99%
B.6.89%
C.6.08%
D.6.09%
Answer: D.6.09%
Explanation: Amount of Rs. 100 for 1 year when compounded half-yearly
= [100 * (1 + 3/100)2]
= Rs. 106.09 Effective rate
= (106.09 - 100) = 6.09%
Answer:D
Question: Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2400.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 3000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is
A.20%
B.30%
C.60%
D.50%
Answer: B.30%
Explanation: Ok, I do not know whether it is exactly what you want to hear but I did it that way: first look at difference between revenue and variable cost => take the bigger one (b) which gives you: 4.5x-1500 just plug in 2000 and 3000. you get 7500 and 12000 (difference 4500). 4500> 0.5*7500 so 30%
B
Question: How many multiples of 4 are less than 6540, and also multiples of 7?
A.234
B.208
C.340
D.237
Answer: A.234
Explanation: LCM of 4 & 7 = 28
Tried dividing 6540 by 28
Got quotient 233.5'So A is answer
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
A.6
B.5
C.4
D.7
Answer: D.7
Explanation: 7 * 8 : 9 * x = 8:9 => x= 7
Answer: D
Question: A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 5 runs. His new average is:
A.50 runs
B.58 runs
C.56 runs
D.59 runs
Answer: B.58 runs
Explanation: Let average for 10 innings be x. Then,
(10x + 108)/11 = x + 5
= 11x + 55 = 10x + 108
= x = 53.
New average = (x + 5) = 58 runs.
Answer:B
Question: If n is a prime number greater than 17, what is the remainder when n^2 is divided by 12 ?
A.0
B.1
C.2
D.3
Answer: B.1
Explanation: There are several algebraic ways to solve this question, but the easiest way is as follows:since we cannot have two correct answers just pick a prime greater than 17, square it and see what would be the remainder upon division of it by 12.
n=19 --> n^2=361 --> remainder upon division 361 by 12 is 1.
Answer: B.
Question: Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 240 pastries ?
A.2 hours.
B.1 hours.
C.5 hours.
D.4 hours.
Answer: D.4 hours.
Explanation: In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 240 pastries would take 240 ÷ 60 = 4 hours.
ANSWER D
Question: How many different 3 digit numbers can be formed from the number 891 by re-arranging its digits so that the odd digits occupy even position
A.5
B.2
C.8
D.7
Answer: B.2
Explanation: There are 2 odd numbers which have to be placed at 2 even places =2!=2 ways
There are 1 even numbers which have to be placed at 1 odd places. So 1! = 1 ways
so total number of ways of arranging all these numbers are 1 * 2 = 2 ways
Answer:B
Question: What decimal of an hour is a second ?
A..0025
B..0256
C..00027
D..000126
Answer: C..00027
Explanation: Explanation:
Required decimal =	1=	1= .00027
60 x 60=3600
Answer- C
Question: A store owner estimates that the average price of type A products will increase by 35% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
A.$14,755
B.$15,205
C.$16,000
D.$16,225
Answer: B.$15,205
Explanation: cost of type A products next year = 1.35 * 4500 = 6075
cost of type B products next year = 1.1 * 8300 = 9130
total 6075 + 9130 = 15205 option B
Question: Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded
number is
A.35
B.45
C.55
D.65
Answer: A.35
Explanation: Explanation:
Number is (5*27) - (4*25) = 135-100 = 35
Answer: Option A
Question: A gambler bought $3,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 13 chips, and then cashed in the remainder. If the number of $20 chips lost was 3 more or 3 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?
A.$2,040
B.$2,120
C.$2,240
D.$1,920
Answer: C.$2,240
Explanation: In order to maximize the amount of money that the gambler kept, we should maximize # of $20 chips lost and minimize # of $100 chips lost, which means that # of $20 chips lost must be 2 more than # of $100 chips lost.
So, if # of $20 chips lost is x then # of $100 chips lost should be x-2. Now, given that total # of chips lost is 13: x+x-3=13 --> x=8: 8 $20 chips were lost and 8-2=6 $100 chips were lost.
Total worth of chips lost is 8*20+6*100=$760, so the gambler kept $3,000-$760=$2,240.
Answer: C.
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
A.33 1/8%
B.33 8/3%
C.33 1/3%
D.35 1/3%
Answer: C.33 1/3%
Explanation: 675 ---- 225
100 ---- ? => 33 1/3%
Answer: C