RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If it takes Alex 20 minutes to walk from home to School and it takes him 10 minutes to walk from home to the supermarket, which of the following COULD be true?
I. The School is closer to Alex's home than the supermarket.
II. To walk to School, Alex will spend double the time it takes him to walk to the supermarket.
III. Alex will spend more time walking to the school than walking to the supermarket.
A. I only
B. I and II only
C. I and III only
D. II and III only
Answer: D. II and III only
Explanation: Let’s check each statement.
Statement I:The School is closer to Alex's home than the supermarket. Alex spends 10 minutes to walk to the supermarket and spends 20 minutes to walk to school, it takes him longer time to get to school in which case Statement I can NEVER be true.
Statement II: To walk to School, Alex will spend double the time it takes him to walk to the supermarket. Alex spends 10 minutes to walk to school, double that time is 20 minutes. The time taken to walk to school is actually double the time taken to walk to the supermarket in which case Statement II is TRUE.
Statement III: Alex will spend more time walking to the school than walking to the supermarket. Alex spends 20 minutes walking to school and spends 10 minutes walking to the supermarket. Obviously more time is taken to walk to school than walking to the supermarket, in which case Statement III is TRUE.
Statement II and III are true.
So,the correct answer is D.
Question: A house is getting ready for dinner table. There are 15 members in the family, and the butler must assign 10 people to the following positions: 1 main chair, 4 on left side, 4 on right side, and 1 most further away seat. Only 3 of the family members are elderly enough to sit on the main chair, and they will not sit at any other place. The other members can sit on any seat. How many different groupings are possible?
A.64585
B.100
C.80
D.59400
Answer: D.59400
Explanation: 3C1 select 1 for main chair from 3 elderly people;
12C4 select 4 people for left side chairs from 12 members (as 3 elderly would like to sit only on main chair 15-3=12);
8C4 select 4 people for right side chair from 8 members (as 3 are elderly, and 4 we have already selected for left side 15-3-4 = 8);
4C1 select 1 for the most further away chair from 4 people (again as as 3 are elderly, and 4 we have already selected for left side and 4 for right side chairs 15-3-4-4=4)
Total # of selection=3C1*12C4*8C4*4C1=59400
Answer: D
Question: A works twice as fast as B.If B can complete a work in 18 days independently,the number of days in which A and B can together finish the work is:
A.4 days
B.6 days
C.8 days
D.10 days
Answer: B.6 days
Explanation: Explanation:
Ratio of rates of working of A and B =2:1. So, ratio of times taken =1:2
A's 1 day's work=1/9
B's 1 day's work=1/18
(A+B)'s 1 day's work=(1/9 + 1/18)=3/18=1/6
so, A and B together can finish the work in 6 days
ANSWER IS B
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A.18 2/61%
B.18 2/11%
C.18 2/81%
D.18 2/12%
Answer: B.18 2/11%
Explanation: 13 CP = 11 SP
11 --- 2 CP
100 --- ? =>18 2/11%
Answer: B
Question: 9 people decided to split the food order evenly. If the bill was $86.14 dollars, how much money should be removed with 1 cent as the smallest unit?
A.$86.10
B.$86.11
C.$86.12
D.$86.13
Answer: D.$86.13
Explanation: This is equivalent to finding the first number that is divisible by 9 that occurs after 8614.
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 8+6+1+4=19. If you remove 1 , the number is divisible by 9 (19 -1). 18 is divisible by 9.
Hence, we need to remove 1 cent from this number for it to be divisible by 9.
Question: How many words can be formed by using all letters of the word 'BIHAR'?
A.720
B.24
C.120
D.60
Answer: C.120
Explanation: Explanation :
The word 'BIHAR' has 5 letters and all these 5 letters are different.
Total words formed by using all these 5 letters = 5p5 = 5!
= 5 x 4 x 3 x 2 x 1 = 120. Answer : Option C
Question: The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
A.542
B.546
C.566
D.548
Answer: D.548
Explanation: Least number = (L.C.M. of 12, 15, 20, 54) + 8 = 540 + 8 = 548.
ANSWER : D
Question: The least number which must be subtracted from 909 to make it exactly divisible by 9 is:
A.A)2
B.B)3
C.C)0
D.D)5
Answer: C.C)0
Explanation: On dividing 909 by 9, we get remainder= 0
Therefore, required number to be subtracted= 0
Answer: C
Question: If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $11,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college?
A.62,000
B.85,500
C.95,500
D.100,500
Answer: C.95,500
Explanation: Answer equals C in 48 years. I thought by 50th year it would reach 95,500. Options should have been separated more widely for clarity.
Question: Find the maximum value of n such that 50! is perfectly divisible by 2520^n
A.7
B.8
C.9
D.6
Answer: B.8
Explanation: 2520 = 2^3*3^2*5*7
Here, 7 is the highest prime,so find the no. of 7's in 50! only
no. of 7's in 50! = [50/7] + [50/7^2] = 7+1 = 8
ANSWER:B
Question: A comic collector sells his memorabilia through an on-line distributor, which take a commission of 5% of the price set by the collector. The on-line store obtains the product from an artist at the price of $100 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 5% profit on the cost of the item?
A.98.42
B.105.15
C.110.53
D.107.22
Answer: C.110.53
Explanation: Collector price = $100;The on-line distributor wants to maintain a 5% profit on the cost of the memorabilia, thus he must get $100*1.05 = $105 after the distributor takes a commission of 5% of the final price --> (final price)*0.95 = $105 --> (final price) = $110.53.Answer: C.
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is
A.1.2 km
B.1.8 km
C.2.4 km
D.3.6 km
Answer: D.3.6 km
Explanation: B = 15km/hr, S= 3km/hr, Downstream B+S = 15+3 =18 km/hr
down stream time t = 12 min, we have to change it to hours so t = 12/60=1/5 hrs.
Distance = Speed*time = 18*1/5 = 3.6 km.
ANSWER:D
Question: (5568 / 87)1/3 + (72 x 2)1/2 = (?)1/2 ?
A.256
B.4
C.√2
D.16
Answer: A.256
Explanation: Answer
?)1/2 = (5568 / 87)1/3 + (72 x 2)1/2
= (64)1/3 + (144)1/2
∴ ? = (4 + 12)2 = 256
Correct Option: A
Question: A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
A.425 miles
B.625 miles
C.325 miles
D.225 miles
Answer: C.325 miles
Explanation: During each hour, the car travels 65 miles. For 5 hours it will travel
65 + 65 + 65 + 65 + 65 = 5 *65 = 325 miles correct answer C
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
A.32 years
B.36 years
C.40 years
D.48 years
Answer: C.40 years
Explanation: Solution
Let the mother's present age be x years.Then, the person's present age	= (2/5 x) years.
Therefore	=[2/5x+8]
= 1/2(x+8)
= 2(2x+40)
=5(x+8)
= 40 year
Answer C
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
A.5/21
B.5/24
C.5/26
D.5/31
Answer: C.5/26
Explanation: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Question: There are 8 orators A, B, C, D, E, F, G and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
A.8! / 3!
B.8! / 6!
C.5! x 3!
D.8! / (5! x 3!)
Answer: A.8! / 3!
Explanation: Select any three places for A, B and C. They need no arrangement amongst themselves as A would always come before B and B would always come before C.
The remaining 5 people have to be arranged in 5 places.
Thus, 8C3 x 5! = 56 x 120 = 67200 = 8! / 3!
ANSWER:A
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 12 years more than twice the age of the son. Find the present age of the father.
A.33
B.39
C.29
D.40
Answer: B.39
Explanation: if the present age be x years.
father's will be (3x+3)years..
so, (3x+3+3)=2(x+3)+12
or, x=12
so the fathers present age =(3x+3)=(3*12+3)years =39years..
ANSWER : OPTION B
Question: Two unbiased coins are tossed.What is the probability of getting at most one head?
A.2/3
B.1
C.3/4
D.2
Answer: C.3/4
Explanation: s={hh,tt,ht,th}
e=event of getting at most one head.
e={tt,ht,th}.
p(e)=n(e)/n(s)=3/4
Answer is option C
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 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.2277
B.1640
C.2977
D.2991
Answer: B.1640
Explanation: (x*8*3)/100 = ((2665 - x)*3*5)/100
24x/100 = 39975/100 - 15x/100
39x = 39975 => x = 1025
Second sum = 2665 – 1025 = 1640
Answer: B
Question: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?
A.-10
B.-20
C.-30
D.-40
Answer: B.-20
Explanation: h = b / 8 = 2 : formula for x coordinate of vertex
b = 16 : solve for b
y = 4 for x = 2 : the vertex point is a solution to the equation of the parabola
4(2)2 - 16(2) - c = 4
c = -20 : solve for c
correct answer B
Question: Seven years ago the average age of a family of 2 members was 26 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child?
A.25years
B.29years
C.30years
D.35years
Answer: B.29years
Explanation: Explanation:
Average of the family of two numbers
7 years ago = 26
= (26+ 7) * 2 = 40 years
Average age of the family of three members at present = 23 years
= 23 * 3 = 69 YEARS
Age of child = 69 - 40 = 29 years
Answer: Option B
Question: Which of the following is a prime number ?
A.90
B.94
C.96
D.97
Answer: D.97
Explanation: Clearly, 97 is a prime number.
D
Question: The total of the ages of Mahesh, Suresh, Ramesh is 138 years. Ten years ago, the ratio of their ages was 2:3:4. What is the present age of Mahesh?
A.32years
B.58years
C.42years
D.35years
Answer: B.58years
Explanation: Let ages of Mahesh, Suresh, Ramesh 10years ago be 2x,3x,4x
2x+10 + 3x+10 +4x+10 = 138
x = 12
Ramesh present age = 4*12+10 = 58 years
Answer is B
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 50 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
A.40
B.45
C.50
D.55
Answer: C.50
Explanation: Annie earned 40x + 10(2x) = 60x
Let H be the number of hours that Harry worked.
Harry earned 30x + 1.5x(H-30) = 60x
(1.5x)(H) = 75x
H = 50 hours
The answer is C.
Question: Suppose that this fresh fruit contains 80% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100kg of fresh fruit?
A.A)32kg
B.B)40kg
C.C)25kg
D.D)80kg
Answer: C.C)25kg
Explanation: Quantity of pulp in 100kg of fresh fruits = (100-80)% of 100kg = 20kg
Let the quantity of dry fruit obtained be x kg
then, (100-20)% of x = 20
(80/100)*x = 20
x = 25
correct option is C
Question: A circle graph shows how the budget of a certain company was spent: 20 percent for transportation, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for salaries. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent salaries?
A.90°
B.135°
C.216°
D.240°
Answer: C.216°
Explanation: The percent of the budget for salaries is 100 - (20+9+5+4+2)= 60%
100% of the circle is 360 degrees.
Then (60%/100%)*360 = 216 degrees
The answer is C.
Question: The current in a river is 4 mph. A boat can travel 18 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
A.69 miles
B.85.5 miles
C.96 miles
D.100 miles
Answer: B.85.5 miles
Explanation: Upstream Speed = 18-4=14 mph
Downstream Speed = 18+4 = 22 mph
D/14 + D/22 = 10 hours
Solving for D we get D=85.5
Answer: B
Question: It is required to seat 7 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
A.86,288
B.86,214
C.86,400
D.86,328
Answer: C.86,400
Explanation: Total number of candidates = 6 + 5 = 11. In the row of 11 positions, the even places are 2nd, 4th, 6th,8th,10th.
Now, number of even places = 5.
Number of girls to occupy the even places = 5.
Even places can be filled = P (5, 5) ways.
Number of boys = 6.
The remaining 6 places can be filled by 6 boys = P (6, 6) ways
By the fundamental principle of counting:
The required number of seating arrangements
P(5, 5) x P(6, 6) = 5! x 6! = 120 x 720 = 86,400
ANSWER:C
Question: For which of the following functions is f(e) = f(−e) for all values of e ?
A.f(x) = x^3 + 3
B.f(x) = −x
C.f(x) = 2x + 3
D.f(e) = −e^2 + 2
Answer: D.f(e) = −e^2 + 2
Explanation: f(e) = f(−e)
The above is a property of an even function .
f(e) = f^(n)
f(e) = f(−e) will hold when n is an even integer .
The only case when e is even is option D
Answer D
Question: The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 46 kg more than the weight of the third boy, what is the weight of the lightest boy?
A.87 kg
B.36.8 kg
C.98.8 kg
D.65.8 kg
Answer: B.36.8 kg
Explanation: Let the weights of the three boys be 4k, 5k and 6k respectively.
4k + 6k = 5k + 46
=> 5k = 46 => k = 9.2
Therefore the weight of the lightest boy
= 4k = 4(9.2) = 36.8 kg.
Answer:B
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
A.288
B.150
C.277
D.269
Answer: B.150
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 100)/25 = x/15 => x = 150 m.
Answer: B
Question: Jon had an average score of 85 on his first five quizzes. He had an
average score of 83 on his first six quizzes. What score did he receive on
his sixth quiz?
A.55
B.69
C.75
D.73
Answer: D.73
Explanation: The sum of Jon's first five scores is 5 Â· 85 and the sum of his first six scores is 6 Â· 83, so he received
6 Â· 83 âˆ’ 5 Â· 85 on his 6th quiz. You can do the arithmetic or note that the answer ends in a 3. The correct answer is D.
Question: After giving a discount of rs.45 the shopkeeper still gets a profit of 20%,if the cost price is rs.180.find the markup %?
A.0.4
B.0.55
C.0.45
D.0.48
Answer: C.0.45
Explanation: cost price=180
s.p=180*120/100=216
disc=45
so...mark price=216+45=261......
mark up%=261-180/180=81/180=.45 or 45%
ANSWER:C
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
A.24 kmph
B.22 kmph
C.21 kmph
D.28 kmph
Answer: A.24 kmph
Explanation: A
24 kmph
Total time taken = x/40 + 2x/20 hours
= 5x/40 = x/8 hours
Average speed = 3x/(x/8) = 24 kmph
Question: A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 360 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
A. 90
B. 110
C. 120
D. 140
Answer: D. 140
Explanation: Orchestra Seats - a
Balcony Seats - b
a+b = 360
and 12a + 8b = 3320
Solving equations simultaneously (Multiply Equation 1 with 8 and subtract from second equation)
4a = 3320 - 8*360 = 3320 - 2880 = 440
i.e. a = 110
and b = 360-110 = 250
More seats in balcony than orchestra = b-a = 250 - 110 = 140
Answer: option D
Question: When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?
A.97
B.103
C.99
D.101
Answer: B.103
Explanation: Let the number be x
x2 - 732 = 5280
x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609
= 10000 + 2(100)(3) + 32 = (100 + 3)2
x = 100 + 3 = 103.
ANSWER:B
Question: In packing for a trip, Sarah puts three pairs of socks - one red, one blue, and one green - into one compartment of her suitcase. If she then pulls four individual socks out of the suitcase, simultaneously and at random, what is the probability that she pulls out exactly two matching pairs?
A.1/5
B.1/4
C.1/3
D.2/3
Answer: A.1/5
Explanation: the successful events are when Sarah pulls 2 matching pair of socks out of 3 matching pairs of socks, which can be done in 3C2 ways as the order is not important
So,3C2 = 3 ways are:
RRBB
RRGG
BBGG
Now,the ways in which 4 socks can be pulled out of 6 socks (3 pairs) = 6C4 = 15
So, probability = 3/15 = 1/5
Ans: A
Question: Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 70 per kg. How much amount did he pay to the shopkeeper?
A.A)1040
B.B)1045
C.C)1055
D.D)1190
Answer: D.D)1190
Explanation: Cost of 8 kg apples= 70 × 8 = 560.
Cost of 9 kg of mangoes = 70 × 9 = 630.
Total cost he has to pay = 560 + 630 = 1190.
D)
Question: The ratio of income of Anand to that of Balu is 5 : 4 and the expenditure of Anand to that of Balu is 3: 2. If at the end of the year, each saves Rs, 800, the income of Anand is :
A.Rs 1600
B.Rs 1800
C.Rs 2000
D.Rs 2200
Answer: C.Rs 2000
Explanation: Explanation :
Let the income of Anand and Balu be 5x and 4x and. the expenditures of Anand and Balu be 3y and 2y.
Then, 5x3y = 800 and 4x 2y= 800.
On solving we get : x = 400. As income = 5x = Rs. 2000.
Answer : C
Question: The average runs of a cricket player of 10 innings was 20. How many runs must he make in his next innings so as to increase his average of runs by 4?
A.22
B.77
C.64
D.19
Answer: C.64
Explanation: Explanation:
Average after 11 innings = 24
Required number of runs = (24 * 11) – (20 * 10)
= 264 – 200 = 64
ANSWER: C
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 10% profit on the first article and 10% loss on second article. Find the net profit or loss percent?
A.200
B.100
C.276
D.280
Answer: B.100
Explanation: Profit on first article = 10% of 1000 = 100.
This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.
Answer: B
Question: On my sister's birthday, she was 126 cm in height, having grown 5% since the year before. How tall was she the previous year?
A.124 cm
B.120 cm
C.116 cm
D.112 cm
Answer: B.120 cm
Explanation: Let the previous year's height be x.
1.05x = 126
x = 120
The answer is B.
Question: The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
A.22 degrees
B.64 degrees
C.77 degrees
D.26 degrees
Answer: B.64 degrees
Explanation: Sum of temperatures on 1st, 2nd, 3rd and 4th days = (58 * 4) = 232 degrees ... (1)
Sum of temperatures on 2nd, 3rd, 4th and 5th days - (60 * 4) = 240 degrees ....(2)
Subtracting (1) From (2), we get :
Temp, on 5th day - Temp on 1st day = 8 degrees.
Let the temperatures on 1st and 5th days be 7x and 8x degrees respectively.
Then, 8x - 7x = 8 or x = 8.
Temperature on the 5th day = 8x = 64 degrees.
Answer: B
Question: Mr. Kela purchased two steel factories, one in india and other one in Malaysia for total Rs. 72
crores. Later on he sold the india factory at 16% profit and malaysian factory at 24% profit.
Thus he gained a total profit of 19%. The selling price of Indian factory is:
A.52.2 crores
B.56 crores
C.55.5 crores
D.59.3 crores
Answer: A.52.2 crores
Explanation: Explanation :
If price(in crore) of Indian factory=x and Malaysian factory=72-x, then
=> x*(116/100) + (72-x)*(124/100) = 72*(119/100)
=> 1.16x+89.28-1.24x = 85.68
=> x = 45
So selling price of an Indian factory = 45*(116/100) = 52.2
Hence (A) is correct answer.
Answer : A
Question: There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess?
A.Rs. 450
B.Rs. 320
C.Rs. 550
D.Rs. 420
Answer: D.Rs. 420
Explanation: Solution:
Let the original average expenditure be Rs.x then, 42(x - 1) - 35x = 42.
=> 7x = 84
=> x = 12
Therefore original expenditure,
= Rs.(35 × 12)=Rs.420.
Answer: Option D
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
A.756
B.730
C.250
D.600
Answer: A.756
Explanation: We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Required number of ways	= 7C3*6C2 + 7C4*6C1 + 7C5=>756
ANSWER A
Question: At Deluxe paint store, Fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. Mauve paint is made by mixing 4 parts of red paint with 5 parts blue paint. How many liters of blue paint must be added to 32 liters of Fuchsia to change it to Mauve paint?
A.9
B.13
C.15
D.16
Answer: B.13
Explanation: in 32 liters, Red = 5/8 * 32 = 20 and Blue = 12
so, 20/(12+x) = 4/5
or, x = 13 (Answer B)
Question: (1000)7÷(10)18=?
A.10
B.100
C.1000
D.10000
Answer: C.1000
Explanation: Explanation:
=(103)7/(10)18
=(10)21/(10)18=10(3)=1000
Option C
Question: If 'a' and 'b' are non-zero numbers such that their sum is seven times the product, what is the value of 1/a + 1/b?
A.6
B.7
C.8
D.14
Answer: B.7
Explanation: a+b = 7ab
1/a + 1/b = (b + a)/(ab) = 7.
The answer is B.
Question: The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
A.1/289
B.289/290
C.290/289
D.289
Answer: C.290/289
Explanation: Explanation:
Let the numbers be a and b. Then,
ab = 17, a = 1 and b = 17
So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2
= (12 + 172)/(1 * 17)2 = 290/289
ANSWER IS C
Question: The average of five consecutive even numbers A, B, C, D and E is 20. What percent of E is D?
A.90.1
B.91.7
C.97.1
D.101.1
Answer: B.91.7
Explanation: Explanation :
In such a case the middle number (C) is the average
∴ C = 20 and D = 22 and E = 24
Required percentage = 22/24 x 100 = 91.7
Answer : Option B
Question: Mixture A, which is 20% oil, contains 20 gallons of water and mixture B is 80% oil. If the combination of mixture A and B has a 4.5 : 3 ratio of oil to water, how many gallons of water does mixture B have?
A.5
B.10
C.30
D.40
Answer: B.10
Explanation: Combined mixture has oil: water = 4.5:3 ie. Oil = (4.5/7.5)*100% = 60%
Now by Alligation Rule:
A . ......... B
20% . . . 80%
. . 60% . .
(80-60) . (60-20)
=20 : =40
Qty A: Qty B = 1:2 ( A & B are mixed in 1: 2 ration)
So if A contains 20 gallons water ie total Qty of A= 25 gallons (Since water is 80%)
So as per above ration Qty B mixed will be 50 gallons.
Qty of water in mixture B = 20% of 50 = 10 gallons.
ANSWER:B
Question: A jogger running at 9 kmph along side a railway track is 230 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?
A.3.6 sec
B.18 sec
C.35 sec
D.72 sec
Answer: C.35 sec
Explanation: Speed of train relative to jogger
= (45 – 9) km/h = 36 km/h
= (36 × 5⁄18) m/sec = 10 m/sec
Distance to be covered = (230 + 120) m = 350 m.
∴ Time taken = (350⁄10) sec = 35 sec.
Answer C
Question: The simple interest on Rs. 8 for 12 months at the rate of 5 paise per rupeeper month is
A.1.2
B.4.8
C.4.4
D.3.21
Answer: B.4.8
Explanation: Sol.
S.I. = Rs. [8 * 5/100 * 12] = Rs. 4.8
Answer B
Question: Two commodities have cost per kg is 4.75Rs & 3.20Rswere mixed in a certain
ratio so as to make cost price of mixture as 17.75 Rs. Find the ratio
A.14.55:13
B.15.55:13
C.16.55:13
D.17.55:13
Answer: A.14.55:13
Explanation: mixture17.75-3.20=14.55
mixture 17.75-4.75=13
14.55:13
ANSWER:A