RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The mass of 1 cubic meter of a substance is 500 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
A.0.1
B.0
C.1
D.2
Answer: D.2
Explanation: 500 kg - 1 cubic meter;
500,000 g - 1 cubic meter;
500,000 g - 1,000,000 cubic centimeters;
1 g - 1,000,000/500,000 = 10/5 = 2 cubic centimeters.
Answer: D.
Question: For a road work, a contractor was given a deadline to complete the work in 25 days. Hence, he employed a certain number of workers to accomplish the job. But from the very first day 9 workers were absent and the remaining workers could finish the work in 40 days. What number of workers did the contractor hired in the beginning?
A.24
B.37
C.26
D.19
Answer: A.24
Explanation: Explanation:
Let the number of workers initially hired be x.
Hence, x workers can complete the work in 25 days and (x-9) workers can complete the work in 40 days.
Now, the number of men and the amount of work are in direct proportion and number of men and number of days in indirect proportion.
x*25 = (x – 9)*40
25x = 40x – 360
15x = 360
x = 24
ANSWER:A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
A.337
B.267
C.342
D.287
Answer: C.342
Explanation: 400*(90/100)*(95/100) = 342
Answer:C
Question: Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $50.00 on four CDs and five tapes, how much does one tape cost?
A.$5.00
B.$6.25
C.$12.00
D.$25.00
Answer: A.$5.00
Explanation: CD => C
Type => T
Carol: 4C+5T=50
Anna: 12C+5T=100
12C-4C=50
8C=50
C=6.25
4C+5T=50
25+5T=50
5T=25
T=5
Answer is A
Question: Jack has two dice, one has six equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has seven equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. If Jack rolls both dice what is the probability that both of the numbers will be 7?
A.3/14
B.1/7
C.0
D.1/2
Answer: C.0
Explanation: METHOD-1
Probability that the number on first die is 7 = 0
Probability that the number on Second die is 7 = 1/7 [Because 1 out of 7 faces is 7]
Probability that Both Dice result in odd numbers = (0)*(1/7) = 0
Answer: Option C
Question: Calculate the average of all the numbers between 18 and 57 which are divisible by 7.
A.36.9
B.38.5
C.18.5
D.32.5
Answer: B.38.5
Explanation: Explanation:
numbers divisible by 7 are 21,28,35,42,49,56,
Average = (21+28+35+42+49+56,) / 6 = 231/6 = 38.5
ANSWER: B
Question: Rajan travelled for 12 hours. He covered the first half of the distance at 60 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by Rajan?
A.376
B.576
C.476
D.566
Answer: B.576
Explanation: Let the distance travelled be x km.
Total time = (x/2)/60 + (x/2)/40 = 12 => x/120 + x/80 = 12 => (2x + 3x)/240 = 12
=> x = 576 km
Answer:B
Question: 2500 - (1002 / 20.04) = ?
A.2984
B.2983
C.2982
D.2450
Answer: D.2450
Explanation: 2500-50 = 2450
Answer : D
Question: A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A.230 m
B.240 m
C.260 m
D.320 m
Answer: A.230 m
Explanation: Explanation:
Relative speed = (120 + 80) km/hr
=(200 x5/18)m/sec
=(500/9)m/sec
Let the length of the other train be x metres.
Then,	x + 270 / 9 =500/9
x + 270 = 500
x = 230.
ANSWER IS A
Question: Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 7 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 7 questions did Zachary answer correctly?
A.6
B.7
C.8
D.9
Answer: B.7
Explanation: i got two equations:
3x-2y=25
x+y=7
3x-2(7-x)=25
3x-14+2x=25
5x=39
x=7.8 or between 7 and 8. (ANS B)
Question: It is known that no more than 50 guests will be attending a party. What is the smallest number of sweets that must be brought to the party so that each guest receives the same number of sweets?
A.115
B.100
C.56
D.87
Answer: B.100
Explanation: If we assume that the number of guests is no more than 50, the answer is B because only 100 is divisible 50.
Question: If Rs. 10 be allowed as true discount on bill of Rs. 110 due at the end of a certain time, then the discount allowedon the same sum due at the end of double the time is:
A.16
B.18.33
C.20.21
D.26
Answer: B.18.33
Explanation: Sol.
S.I. on Rs. (110 - 10) for a certian time = Rs. 10.
S.I. on Rs. 100 for double the time = Rs. 20.
T.D. on Rs. 120 = Rs. (120 - 100) = Rs.20
T.D. on Rs. 110 = Rs. [20 /120 * 110] = Rs. 18.33
Answer B
Question: During the last four years, a large truck company purchased diesel at rates of $1.2, $1.4, $1.5 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year?
A.$2.5
B.$2.55
C.$1.49
D.$3.25
Answer: C.$1.49
Explanation: finding the Harmonic mean here.
HM = 4/(1/12 + 1/14 + 1/15 + 1/21) = 14.87
C
Question: Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
A.22
B.65
C.28
D.27
Answer: B.65
Explanation: Explanation:
2) 65 (32 3) 32 (10 7) 10 (1
64 30 7
-------- -------- - -----
1 2 3
=> 65
Answer: B
Question: 1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $80, a 20% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
A.88.1
B.86.0
C.89.1
D.89.5
Answer: B.86.0
Explanation: Option 2 = (90 - 9) + 0.1 * 81
= 81 + 8.1 = 89.10
Option 4 = 80 + 0.2 * 80 - 10
= 86
So the OA is correct - B
Question: Carl can wash all the windows of his house in 8 hours. His wife Maggie can wash all the windows in 4 hours. How many hours will it take for both of them working together to wash all the windows?
A.2
B.2 1/4
C.3 2/2
D.4 1/2
Answer: C.3 2/2
Explanation: Work hrs=AB/(A+B)= 32/12 =3 2/2
Answer is C
Question: A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
A.5 sec
B.6 sec
C.7 sec
D.10 sec
Answer: B.6 sec
Explanation: Solution
Speed of train relative to man =(60+6) km/hr= 66km/hr
=(66x5/18) m/sec =(55/3) m/sec
∴ Time taken to pass the man = (110x3/55)sec = 6sec
Answer B
Question: Jeevan bought an article with 30 per cent discount on the labelled price. He sold the article with 12 per cent profit on the labelled price. What was his per cent profit on the price he bought?
A.40
B.50
C.60
D.Data inadequate
Answer: C.60
Explanation: Let the labelled price of the article = ₹ 100 then
CP = ₹ 70 and SP = ₹ 112.
∴ Read profit percent = 112−70/70×100
= 42/7×10=60
Answer C
Question: Which of the following fractions is greater than 3/4 and less than 5/6?
A.4/5
B.2/5
C.1/5
D.3/5
Answer: A.4/5
Explanation: 3/4 = 0.75, 5/6 = 0.833, 1/2= 0.5, 2/3= 0.66, 4/5= 0.8, 9/10= 0.9.
Clearly, 0.8 lies between 0.75 and 0.833.
Therefore, 4/5 lies between 3/4 and 5/6.
Answer is A.
Question: Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm
A.178 cm2
B.179 cm2
C.285 cm2
D.167 cm2
Answer: C.285 cm2
Explanation: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 18) * (15)
= 285 cm2
Answer: C
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
A.2
B.3
C.4
D.5
Answer: A.2
Explanation: 23) 1056 (45
92
---
136
115
---
21
---
Required number = (23 - 21)
= 2.
A)
Question: Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 25-ounce cans or 15-ounce cans of chili paste. If the restaurant must order 40 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs?
A.40
B.30
C.60
D.45
Answer: C.60
Explanation: let x be the number of 25 ounce cans. Therefore (x+40) is the number of 15 ounce cans.
Total volume is same, therefore
25x=15(x+40)
10x=600
x=60
ans is C
Question: Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50%. What is his current speed X?
A. 6
B. 8
C. 10
D. 12
Answer: B. 8
Explanation: Let the current speed be x miles per hour.
Time taken if speed is 50% faster (i.e. 3x/2 = 1.5x) = 96/1.5x
Time taken if speed is reduced by 4 miles/hr (i.e. (x-4)) = 96/(x-4)
As per question, 96/(x-4) - 96/1.5x = 16
Solving this X we get x = 8.
B.
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.months
B.months
C.months
D.months
Answer: D.months
Explanation: 7 * 8 : 9 * x = 8:9 => x= 7
ANSWER:D
Question: An amount of money lent against simple interest at 4 1/2 % per annum amounts to Rs.381 after 6 years. Find the sum.
A.100
B.200
C.300
D.400
Answer: C.300
Explanation: GIVEN SI+P=381
SI=381-P
SI=PTR/100
381-P=P*6*4.5/100
P=300
ANSWER:C
Question: Amar takes as much time in running 24 meters as a car takes in covering 60 meters. What will be the distance covered by Amar during the time the car covers 2.2 km?
A.700 m
B.500 m
C.870 m
D.880 m
Answer: D.880 m
Explanation: Distance covered by Amar
= 24/60 (2.2km)
= 2/5(2200) = 880 m
Answer: D
Question: A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially?
A.25
B.21
C.20
D.10
Answer: B.21
Explanation: Suppose the can initially contains 7x and 5x litres mixtures A and B
respectively
Quantity of A in mix. left =[7x –7/12 * 9 ] =[7x –21/4]
Quantity of B in mix. left =[5x –5/12 *9 ] = [ 5x - 15/4 ]
Therefore [ 7x-21/4 ] =7/9 or 28x-21 = 7/9
[5x-15/4]+9 20x+21
252x -189 =140x+147 or 112x =336 , x = 3.
Quantity of A in the can initially =7*3 =21
ANSWER:B
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
A.2987
B.3120
C.2798
D.2689
Answer: B.3120
Explanation: Let A be the amount received at the end of the three years.
A = 4800[1 + 10/100][1 + 20/100][1 + 25/100]
A = (4800 * 11 * 6 * 5)/(10 * 5 * 4)
A = Rs.7920
So the interest
=7920 - 4800
= Rs.3120
Answer:B
Question: In a bag, there are 2400 ball, and their colors are red, green blue.. The ratio of the balls are 15:13:17.Then how many red color balls are available in the bag?
A.900
B.1600
C.750
D.890
Answer: A.900
Explanation: Red:green:blue = 15+13+17=45; Ratio of the red balls= 15/40 simplify =3/8*2400=900.Answer =A
Question: By mixing two brands of coffee and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?
A.12.66
B.23
C.116.66
D.10.66
Answer: C.116.66
Explanation: E
C
Let the cost of the brand be Rs. X per kg.
C.P. of 5 kg = (2 * 200 + 3 * x) = Rs. (400 + 3x)
S.P of 5 kg = Rs. (5 * 177) = Rs. 885
[885 - (400 + 3x)]/(400 + 3x) * 100 = 18
24250 - 150x = 3600 + 27x
177x = 20650 => x = 116 2/3
So, cost of the other brand = Rs. 116.66.
Question: In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 8 men and 9 women?
A.8C4 9C5
B.4C8 5C9
C.7C5 9C4
D.9C4 7C5
Answer: A.8C4 9C5
Explanation: Group consisting of 8 men and 9 women
4 men can be selected from 8 men in 8C4 ways
5 women can be selected from 9 women in 9C5 ways
Therefore, Total number of ways= 8C4 9C5
ANSWER:A
Question: If x < y < 0, which of the following must be true?
A.x+y is a positive integer
B.x+y is a negative integer
C.xy is a negative integer
D.x/y is a negative integer
Answer: B.x+y is a negative integer
Explanation: Given x, y are less than 0. So both will be negative integers
negative + negative = negative
negative * negative = positive
negative / negative = positive
So, option B is true and all others are false.
Answer : B
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 15000 on repairs and sold it for Rs. 64900. What is his profit percent?
A.12%
B.13.85%
C.18%
D.82%
Answer: B.13.85%
Explanation: Total CP = Rs. 42000 + Rs. 15000 = Rs. 57000 and SP
= Rs. 64900
Profit(%) = (64900 - 57000)/57000 * 100
= 13.85%
Answer:B
Question: How many litres of pure acid are there in 10 litres of a 25% solution
A.1.5
B.1.6
C.2.5
D.1.8
Answer: C.2.5
Explanation: Explanation:Question of this type looks a bit typical, but it is too simple, as below... It will be 10 * 25/100 = 2.5 Answer: Option C
Question: Last year, Bill's farm produced 768,000 oranges. If Bill distributed his apples evenly across 9 different retail shops, how many apples remained with him.
A.1 orange
B.2 oranges
C.3 oranges
D.4 oranges
Answer: C.3 oranges
Explanation: This is equivalent to finding the first number that is divisible by 9 that occurs before 768,000 oranges.
In order to divide the sum in 9 parts, the amount must be divisible by 9
Divisibility rule of 9: The sum of the digits must be divisible by 9
Sum of digits of 768,000 = 21 and 18 is divisible by 9.
Hence, we need to remove 3 to this number for it to be divisible by 9
Correct Option: C
Question: Sara's mother is 6 times older than Sara. Next year, however, she will be only 5 times older than her daughter. How old is Sara's mother.
A.24 years
B.25 years
C.26 years
D.27 years
Answer: A.24 years
Explanation: At the present,
Sara's age is x.
Sara's mother's age is y=6x.
Next year,
Sara's age will be x+1.
Sara's mother's age will be y+1=5(x+1).
From the two equations, we can calculate Sara's age:
y=6x
y+1=5 (x+1)
6x+1=5x+5
6x-5x=5-1
x=4
If Sara is currently 4 years old, and her mother is 6 times older, then her age is
6x=6×4=24.
ANSWER: A
Question: 48 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A.10
B.16
C.13
D.18
Answer: B.16
Explanation: Let the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
Persons 30 : 48 :: 12 : x
Working hours/day 6 : 5
30 x 6 x x = 48 x 5 x 12
x = (48 x 5 x 12)/(30 x 6)
x = 16
ANSWER B
Question: 5,7,11,19,35, (...)
A.12
B.67
C.5
D.64
Answer: B.67
Explanation: 5
5Ã— 2 - 3 = 7
7 Ã— 2 - 3 = 11
11 Ã— 2 - 3 = 19
19 Ã— 2 - 3 = 35
35 Ã— 2 - 3 = 67
Answer is B
Question: If 6^q is a factor of (10!)^2, What is the greatest possible value of q ?
A.2
B.4
C.6
D.8
Answer: D.8
Explanation: q 10!= 10*9*8*7*6*5*4*3*2*1 = 2*5*3*3*2*2*2*7*2*3*5*2*2*3*2 = 2^8*3^4*5^2*7
6= 2*3
Therefore only the exponents of 2 and 3 are relevant, 2^8 or 3^4 -> higher number counts = 8 -> Answer Choice D
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
A.328
B.150
C.279
D.277
Answer: B.150
Explanation: 1/2 * 20(9 + 6) = 150 cm2
Answer:B
Question: How many 3-digit even numbers are possible such that if one of the digits is 5, the next/succeeding digit to it should be 6
A.5
B.305
C.365
D.405
Answer: A.5
Explanation: 560, 562, 564, 566, and 568, so total 5. Hence Option A.
Question: A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 330 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second?
A.330 * sqrt 2
B.330 * sqrt (2^7)
C.330 * sqrt (2^12)
D.330 * the twelfth root of (2^7)
Answer: A.330 * sqrt 2
Explanation: Let the constant be k.
F1 = 330
F2 = 330k
F3 = 330 k * k = 330 * k^2
F13= 330 * k^12
we know F13 = 2 *F1 = 2 * 330 = 660
660/330 = k^12
k = twelfth root of 2
for F7...
F7 = 330 * k^6 ( as we wrote for F2 and F3)
F7 = 330 * (twelfth root of 2) ^ 6
F7 = 330 * sqrt (2)
The answer is A.
Question: A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is?
A.277
B.268
C.270
D.150
Answer: D.150
Explanation: 125% of 120% of A = 225
125/100 * 120/100 * A = 225
A = 225 * 2/3 = 150.
Answer: D
Question: Find the average of first 50 natural numbers.
A.A)25.5
B.B)20.5
C.C)24.5
D.D)19.9
Answer: A.A)25.5
Explanation: Sum of first n natural numbers = n(n+1)/2
sum of first 50 natural numbers = 50*51/2 =1275
average = 1275/50 = 25.5
Answer is A
Question: If x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $48. If $2,000 is the total amount invested, how much is invested at 9 percent?
A.300
B.250
C.1223.53
D.1133.24
Answer: C.1223.53
Explanation: 2 equations with 2 unknowns
9x / 100 - 8y / 100 = 48
and
x + y = 2000
Solving these 2 equations, x = 1223.53 and y = 776.47
Answer -C
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
A.288
B.270
C.289
D.480
Answer: D.480
Explanation: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer: D
Question: An urn contains 5 red, 6 blue and 8 green balls. 3 balls are randomly selected from the urn, find the probability that the drawn ball are blue?
A.20/969
B.20/875
C.21/876
D.3/512
Answer: A.20/969
Explanation: Sample space = no. of ways 3 balls were drawn from urn = 19C3 = 969
No. ways 3 blue balls were drawn from bag = 6C3 = 20
Probability = 20 / 969
Ans - A
Question: A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 970gm. for a kg.His gain is …%.
A.3.09%
B.5.36%
C.4.26%
D.6.26%
Answer: A.3.09%
Explanation: His percentage gain is 100*30/970 as he is gaining 30 units for his purchase of 970 units.
so 3.09%.
ANSWER:A
Question: Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 30 days.
A.16 days.
B.17 days.
C.18 days.
D.19 days.
Answer: C.18 days.
Explanation: They together completed 4/10 work in 4 days.
balance 6/10 work will be completed by Arun alone in 30*6/10 = 18 days.
ANSWER:C
Question: During a sale of 20% on everything in a store, a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies. The store still makes a profit of 10% on this sale. What is the mark up percentage on each candy?
A. 100%
B. 80%
C. 75%
D. 66+2/3%
Answer: C. 75%
Explanation: Hi Akhil, I can share the way I solved it..
Let's say Marked price = M
So, there's a discount of 20% on M So, new S.P. = 80% of M
Now, the child convinces the owner to sell 20 candies for the price of 14 candies .
Let's say each candy after discount is 1$. So, S.P. of 20 candies = 20$. THe child bought it for 14 $ So, he got a discount of 6/20 *100 = 30%
So, the latest S.P. = 70% of 80% of M = 0.7* 0.8 M
Now, we are given that the shopkeeper still makes a profit of 12%. So we have ,
0.7 * 0.8 * M = 1.12 C.P
So, we get, M= 2 C.P.
i.e. Marked price was kept 100% above C.P.
C
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
A.6
B.7
C.8
D.9
Answer: A.6
Explanation: Let x be the total time it takes for the cistern to fill.
4/12 + x/15 = 1
x/15 = 2/3
x = 10
After the first pipe is turned off, it takes 6 more minutes to fill the cistern.
The answer is A.
Question: Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?
A.3864
B.2338
C.3799
D.1267
Answer: A.3864
Explanation: Explanation:
Saving = 50% of (100 - 40)% of (100 - 30)% of Rs. 18,400
= Rs. (50/100 * 60/100 * 70/100 * 18400) = Rs. 3864.
Answer: A) 3864
Question: 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how
many days will 10 women working together finish it ?
A.30 days
B.40 days
C.50 days
D.60 days
Answer: B.40 days
Explanation: Explanation:
Let 1 man's 1 day work = x
and 1 woman's 1 days work = y.
Then, 4x + 6y = 1/8
and 3x+7y = 1/10
solving, we get y = 1/400 [means work done by a woman in 1 day]
10 women 1 day work = 10/400 = 1/40
10 women will finish the work in 40 days
Answer: B
Question: In a company of 15 employees, 6 employees earn $37,000, 5 employees earn $42,000, and the 4 highest-paid employees earn the same amount. If the average annual salary for the 15 employees is $45,000, what is the annual salary for each of the highest-paid employees?
A.$56,250
B.$57,750
C.$59,250
D.$60,750
Answer: D.$60,750
Explanation: 6*37,000+5*42,000+4x=15*45,000
4x=675,000-222,000-210,000
4x=243,000
x=60,750
The answer is D.
Question: $500 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
A.$100
B.$150
C.$125
D.$200
Answer: D.$200
Explanation: A:(B+C) = 2:3
A's share = 500*2/5 = $200
Answer is D
Question: Eight years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
A.A)35
B.B)28
C.C)45
D.D)25
Answer: B.B)28
Explanation: Explanation:
Let the present age of P and Q be 3x and 4x respectively.
Eight years ago, P was half of Q in age
=> 2(3x – 8) = (4x – 8)
=> 6x – 16 = 4x – 8
=> 2x = 8
=> x = 4
7x=7*4=28
Answer: Option B
Question: 28 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.13.25
B.38.25
C.33.25
D.12.25
Answer: D.12.25
Explanation: x/7 = y/9 => x:y = 7:9
7/16 * 28 = 12.25
ANSWER:D
Question: A grocer has a sale of Rs. 3435, Rs. 3927, Rs. 3855, Rs. 4230 and Rs. 3562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 3500?
A.s. 1991
B.s. 2991
C.s. 3991
D.s. 4991
Answer: A.s. 1991
Explanation: Explanation:
Total sale for 5 months = Rs. (3435 + 3927 + 3855 + 4230 + 3562) = Rs. 19009.
Required sale = Rs. [ (3500 x 6) â€“ 19009 ]
= Rs. (21000 â€“ 19009)
= Rs. 1991.
Answer A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.74 less, he could have gained 25%. What is the cost price?
A.s.370
B.s.375
C.s.375
D.s.350
Answer: A.s.370
Explanation: CP1 = 100 SP1 = 120
CP2 = 80 SP2 = 80 * (125/100) = 100
20 ----- 100
74 ----- ? => 370
ANSWER:A