RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 7/10 of its present?
A.61.5
B.60.5
C.63.5
D.35.71429
Answer: D.35.71429
Explanation: Let capacity of 1 bucket = x
Capacity of the tank = 25x
New capacity of the bucket = 7x/10
Hence, number of buckets needed = 25x/(7x/10)=(25×10)/7=35.71429
Answer is D.
Question: If p#q denotes the least common multiple of p and q, then E=((12#16)#(18#24)) = ?
A. 216
B. 180
C. 144
D. 108
Answer: C. 144
Explanation: There are several ways to find the Least Common Multiple of two numbers. In this case, the most efficient method is to use the Greatest Common Factor: (A * B) / (GCF AB) = LCM AB
The greatest common factor of 12 and 16 is 4. So, 12#16 = 12*16/4 = 48.
The greatest common factor of 18 and 24 is 6. So, 18#24 = 18*24/6 = 72
Finally, the greatest common factor of 48 and 72 is 24. So, E=((12#16)#(18#24)) = 48#72 = (48*72)/24 = 2*72 = 144
The correct answer is C.
Question: One fourth of a solution that was 15% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
A.34%
B.24%
C.22%
D.16%
Answer: D.16%
Explanation: Instead of using complex calculations and remembering formulae, why dont u directly get to weighted average.
3 parts of 15% + 1 part of x (unknown) % = 4 parts of 16%
=> x% = 64%-45% = 16%
ans D it is.
Question: The 41 parents participating in the Smithville PTA have been assigned to at least 1 of 3 committees: festival planning, classroom aid, and teacher relations. 21 parents are assigned to the festival planning committee, 18 parents are assigned to the classroom aid committee, and 19 parents are assigned to the teacher relations committee. If 5 parents are assigned to all 3 committees, how many parents are assigned to exactly 2 committees?
A.4
B.7
C.8
D.9
Answer: B.7
Explanation: The formula is Total = A+B+C - sum of exactly two + 2*all three + neither
21+18+19-x-2*5=41
solving for x you get 7
Answer B
Question: Sam deposited $12,000 to open a new savings account that earned eight percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Sam account one year after the account was opened?
A. $13,128
B. $12,763
C. $12,968
D. $12,942
Answer: C. $12,968
Explanation: Approach #1:
8 percent annual interest compounded semi-annually --> 2.5% in 6 moths.
For the first 6 moths interest was 4% of $12,000, so $480;
For the next 6 moths interest was 4% of $12,000,plus8% earned on previous interest of $480, so $480+$8=$488;
Total interest for one year was $480+$488=$968, hence balance after one year was $12,000+ $968=$12,968.
Answer: C.
Question: A shopkeeper expects a gain of 22½% on his cost price. If in a week, his sale was of Rs.392, what was his profit?
A.Rs.18.20
B.Rs.70
C.Rs.72
D.Rs.88.25
Answer: C.Rs.72
Explanation: Solution
C.P	= Rs.(100/122.50x392)
= Rs.(1000/1225×392)
= Rs.320.
Therefore, Profit	= Rs.(392-320)
= Rs.72.
Answer C
Question: If a^2 is divisible by 240 what is the least possible value of integer a?
A.120
B.30
C.90
D.60
Answer: D.60
Explanation: 240 can be written as (2^4)*3*5.
For a^2 to be divisible by 240 it should contain at least 2^4 and 3 and 5 in its factors. We can leave out option E because 12 doesnt have 5 as one of its factor. Now if we check for option B, 30 can be written as 2*3*5, hence 30^ 2 will have 2 as the maximum power of 2, so we can leave out this option too.
Option D is the right answer if we follow the same method as we followed for other two previous options.
60 = (2^2)*3*5; 60^2 = (2^4)*(3^2)*(5^2). So it shows that 60^2 is divisible by 240 and hence the answer.
Answer : D
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 420. What was Simran share in the profit?
A.s 180
B.s 100
C.s 120
D.s 190
Answer: A.s 180
Explanation: Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4.
Simran's share = Rs.420 x	3/7	= Rs. 180.
ANSWER :A
Question: The salaries of A and B together amount to $4000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary?
A.$1000
B.$1250
C.$2500
D.$3000
Answer: D.$3000
Explanation: Let A's salary is x
B's salary = 4000-x
(100-95)% of x = (100-85)% of (4000-x)
x = $3000
Answer is D
Question: Albert is 2 times Mary’s age but only 4 times as old as Betty. Mary is 16 years younger than Albert. How old is Betty?
A.8
B.12
C.10
D.15
Answer: A.8
Explanation: given that A=2M=4B..AND M=A-16..
substituting the values M=16,A=32 AND B=8..
Answer is A
Question: A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
A.10%
B.15%
C.20%
D.25%
Answer: A.10%
Explanation: Formula = (Selling price ~ Cost price)/Cost price * 100
= (810 ~ 900)/900 = 10% Loss
A
Question: Fresh grapes contain 70% water by weight and raisins obtained by drying fresh grapes contain 25% water by weight. How many kgs of fresh grapes are needed to get 30kgs of raisins?
A.75 kgs
B.64kgs
C.72 kgs
D.65 kgs
Answer: A.75 kgs
Explanation: The weight of non-water in 30 kg of dried grapes (which is 100-25=75% of whole weight) will be the same as the weight of non-water in x kg of fresh grapes (which is 100-70=30% of whole weight),
so 30*0.75 = x*0.3
--> x = 75.
Answer: A.
Question: Mother is aged 3times more than her daughter Rose. After 8 years, she would be two and a 1/2times of Rose's age. After further 8 years, how many times would he be of Rose's age?
A.1
B.2
C.4
D.5
Answer: B.2
Explanation: Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.
(4x + 8) = 5 (x + 8)
2
8x + 16 = 5x + 40
3x = 24
x = 8.
Hence, required ratio = (4x + 16)/(x + 16) = 48/24= 2.
B
Question: If 5 less than x is 1 greater than y, then a number z that is 5 greater than x reduced by y is equal to
A.4
B.9
C.14
D.11
Answer: D.11
Explanation: 11 it is....nice one....
D
Question: In how many different ways can 5 females and 5 males form a circle such that the males and the females alternate?
A.1400
B.2800
C.1200
D.3000
Answer: B.2800
Explanation: circle 5 males can be arranged in 4!
gvn that the males and females alternate then 5 places for females
=> female arranged in 5 !
tot no of ways = 4! * 5 ! = 24 * 120 = 2880
ANSWER B
Question: Ratio between Rahul and Deepak is 4:3, After 2 Years Rahul age will be 26 years. What is Deepak present age.
A.14
B.18
C.20
D.22
Answer: B.18
Explanation: Explanation:
Present age is 4x and 3x,
=> 4x + 2 = 26 => x = 6
So Deepak age is = 3(6) = 18
Option B
Question: A and B invest money in the ratio 8:9 and they has loss of Rs.6900 at the end of year. what is the share of loss of B?
A.Rs.1600
B.Rs.1500
C.Rs.1400
D.Rs.1300
Answer: A.Rs.1600
Explanation: et ratio of A and B be 8x & 9x
so net loss = 8x+9x= 6800
x=400
A=3x=3(400)=1200
B= 4x=4(400)=1600
so, B= 1600
ANSWER:A
Question: Two bullet train s 140 m and 190 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
A.15.8 sec.
B.12.8 sec.
C.11.88 sec.
D.10.8 sec.
Answer: C.11.88 sec.
Explanation: Relative speed = (60 + 40) km/hr = 100x5/18 = 250/9 m/ sec.
Distance covered in crossing each other = (140 + 190) m = 330 m.
Required time = 330x9/250 = 54/5 = 11.88 sec.
ANSWER C
Question: A $77.95 lawn chair was sold for $59.95 at a special sale. By approximately what percent was the price decreased?
A.15%
B.23%
C.25%
D.60%
Answer: B.23%
Explanation: Listed selling price of chair = 77.95 $
Discounted selling price of chair = 59.95 $
Discount = 77.95 - 59.95 = 18 $
% decrease in price of chair = (18/77.95) * 100% = 23 % approx
Answer B
Question: In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 5 hours a day, the number of men required is:
A.24
B.5
C.6
D.8
Answer: A.24
Explanation: Explanation :
Let the required number of men be x.
Less days, More men (Indirect Proportion)
More working hrs per day, Less men (Indirect Proportion)
Days 8 : 10
Working Hrs 5 : 8 :: 12 : x
=> 8 x 5 x x = 10 x 8 x 12
=> x = 10 x 8 x 12 / (8 x 5)
=> x = 24
Answer : A
Question: The perimeter of a square is 72 m. Find the area of the square.
A.161 mÂ².
B.324 mÂ².
C.166 mÂ².
D.169 mÂ².
Answer: B.324 mÂ².
Explanation: Perimeter of square = 72 m
But perimeter of square = 4 Ã— side
Therefore, 4 Ã— side = 72 m
Therefore, side= 72/4 m = 18m
Now, the area of the square = (side Ã— side)
Therefore, area of the square = 18 Ã— 18 mÂ² = 324 mÂ².
ANSWER : OPTION B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
A.39
B.28
C.27
D.80
Answer: D.80
Explanation: 1/2 * d (10 + 6) = 640
d = 80
Answer: D
Question: 14, 35, 56, 63, 91, 126
In the sequence above, each term is related with the others. Which of the following could not be a term in the sequence?
A.402
B.259
C.322
D.686
Answer: A.402
Explanation: Simplifying the question into easier words we just need to find which of the numbers is not divisible by 7
clearly the answer is 402 because if we divide 402 by 7 we get a remainder of 57.42
Correct answer - A
Question: 9log9(4) = ?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: Exponential and log functions are inverse of each other. Hence
aloga(x) = x , for all x real and positive.
and therefore
9log9(4) = 4
correct answer D
Question: The probability of Sam passing the exam is 1/4. The probability of Sam passing the exam and Michael passing the driving test is 1/8. What is the probability of Michael passing his driving test?
A.1/24.
B.1/2.
C.1/3.
D.2/3.
Answer: B.1/2.
Explanation: 1/4 *1/m= 1/8 , 1/m = 1/2
Answer B
Question: A, B, K start from the same place and travel in the same direction at speeds of 30km/hr, 40km/hr, 60km/hr respectively. B starts three hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
A.3
B.4.5
C.6
D.d) 5.5
Answer: C.6
Explanation: The table you made doesn't make sense to me. All three meet at the same point means the distance they cover is the same.
We know their rates are 30, 40 and 60.
Say the time taken by B is T hrs. Then A takes 3+T hrs. And we need to find the time taken by K.
Distance covered by A = Distance covered by B
30*(3+T) = 40*T
T = 9 hrs
Distance covered by B = Distance covered by K
40*T = 60*Time taken by K
Time taken by K = 40*9/60 = 6 hrs
Time taken by A = 3+T = 3+9 = 12 hrs
Time taken by K = 6 hrs
So K starts 12-6 = 6 hrs after A. (answer C)
Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 2 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
A.53.33 mph
B.56.67 mph
C.60 mph
D.64 mph
Answer: C.60 mph
Explanation: Average Speed = Total distance/ Total time = (40 * 2 + 80 * 2)/(2 + 2) = 240/4 = 60
Answer: C
Question: What percent of 40 is 80?
A.133 1⁄3
B.75
C.200
D.33 1⁄3
Answer: C.200
Explanation: To find out the % of 80 in 40
Do 80/40 = 200%
Answer C)
Question: Three numbers are in the ratio 4 : 5 : 6 and their average is 20 . The largest number is:
A.24
B.32
C.36
D.42
Answer: A.24
Explanation: Explanation:
Let the numbers be 4x, 5x and 6x. Therefore,
(4x+5x+6x)/3 = 20
15x = 60
x = 4
Largest number = 6x = 24.
ANSWER A
Question: P has $42 more than what Q and R together would have had if both B and C had 1/8 of what P has. How much does P have?
A.$44
B.$48
C.$52
D.$56
Answer: D.$56
Explanation: P = (2/8)*P+42
(6/8)*P=42
P=56
The answer is D.
Question: Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers k did Carl drive each way?
A. 350
B. 345
C. 320
D. 280
Answer: D. 280
Explanation: Let us backsolve here.
The answer option has to be divisible by 7 to give us 1/2.
Let us try k=280 km. Time taken will be 3.5 hours and 4 hours.
Hence D is the answer.
Question: 3/4 of 1/2 of 2/5 of 5040 = ?
A.392
B.229
C.756
D.493
Answer: C.756
Explanation: C
756
? = 5040 * (2/5) * (1/2) * (3/4) = 756
Question: If a2 + b2 + c2 = 250 and ab + bc + ca = 3, then a + b + c is
A.4
B.8
C.16
D.32
Answer: C.16
Explanation: by formula ,
(a + b + c)^2= a^2 + b^2 + c^2 + 2(ab + bc + ca),
since, a^2 + b^2 + c^2 = 250 and ab + bc + ca = 3,
(a + b + c)^2 = 250 + 2(3)
= 256
= 16^2
therefore: a + b + c = 16
ANSWER:C
Question: which of the following could be the perimeter of the triangle?If two sides of a triangle have lengths 6 and 12.
I. 30
II. 25
III. 18
A.I only
B.II only
C.II and III only
D.none
Answer: D.none
Explanation: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Therefore:
(12-6) < {third side} < (12+6).
6< {third side} < 18.
Perimeter = {third side} + 6 + 18= {third side} + 24.
30< {perimeter} < 42
Answer: D.
Question: In what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way?
A.3 sec
B.4 sec
C.5 sec
D.6 sec
Answer: D.6 sec
Explanation: T = 120/70 * 18/5 = 6 sec
ANSWER:D
Question: If n = 3^6 – 2^6 which of the following is NOT a factor of n?
A.97
B.7
C.35
D.5
Answer: A.97
Explanation: 3^6 - 2^6
= (3^3)^2 - (2^3)^2
=(3^3 + 2^3)(3^3 - 2^3)
=(27+8)(27-8)
=35*19
=7*5*19
Therefore, 97 is Not a factor of n.
A
Question: Timothy leaves home for school, riding his bicycle at a rate of 9 miles per hour. Fifteen minutes after he leaves, his mother sees Timothy’s math homework lying on his bed and immediately leaves home to bring it to him. If his mother drives at 30 miles per hour, how far (in terms of miles) must she drive before she reaches Timothy?
I think is a 700 level problem but I tag it as 600/700, let me know. Either way I hope in an explanationThanks
A.1/3
B.3
C.4
D.45/14
Answer: D.45/14
Explanation: In 15 mins, Timothy travels=9/4 miles.
Now, let his mother takes x hours to reach him, traveling at 30mph.
So, 30x=9x+9/4
x=3/28 hrs.
Thus, the distance traveled by his mother to reach= 30*3/28=45/14 miles. Ans D
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.3 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
A.2:5
B.2:3
C.2:4
D.4:5
Answer: D.4:5
Explanation: Let the ratio be k : 1. Then,
k * 16.3 + 1 * 15.4 = (k + 1) * 15.8
= (16.3 - 15.8)k = (15.8 - 15.4)
= k = 0.4/0.5 = 4/5
Required ratio = 4/5 : 1 = 4:5.
Answer:D
Question: 3 candidates in an election and received 2500, 5000 and 20000 votes respectively. What % of the total votes did the winningcandidate got in that election?
A.72.72%
B.50%
C.57.57%
D.60%
Answer: A.72.72%
Explanation: Total number of votes polled = (2500 + 5000 + 20000) = 27500
So, Required percentage = 20000/27500 * 100 = 72.72%
A
Question: The volume of a cube is 729 cc. Find its surface.
A.864
B.444
C.456
D.486
Answer: D.486
Explanation: a3 = 729 => a = 96a2 = 6 * 9 * 9 = 486Answer: D
Question: If (x/y)=(6/5), find the value (x^2+y^2)/(x^2-y^2)
A.61/11
B.51/11
C.41/11
D.21/11
Answer: A.61/11
Explanation: = (x^2+y^2)/(x^2-y^2) = ( x^2 /y^2+ 1)/ ( x^2 /y^2-1) = [(6/5)^2+1] / [(6/5)^2-1]
= [(36/25)+1] / [(36/25)-1] = (61*25)/(25*11) = 61/11
Answer is A.
Question: Find the sum and number of divisors of 544 excluding 1 and 544.
A.587
B.588
C.589
D.590
Answer: C.589
Explanation: if N = p^a * q^b *r^c *...
total no. of factors of N = (a+1)*(b+1)*(c+1)*... &
sum of all of the factors of N =(1+p+p^2+...+p^a)*(1+q+..+q^b)*(1+r+r^2+...+r^c)
544 = 2^5 * 17
number of divisors of 544 excluding 1 and 544 = (5+1)*(1+1) - 2 = 10
sum of divisors of 544 excluding 1 and 544 = (1+2+2^2+2^3+2^4+2^5)*(1+17)-1-544
= 589
ANSWER:C
Question: The sale price of an article including the sales tax is $ 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
A.$700
B.$800
C.$500
D.$300
Answer: C.$500
Explanation: C
$500
110% of S.P. = 616
S.P. = (616 * 100)/110 = $ 560
C.P = (110 * 560)/112 = $ 500
Question: A is 1.5 times as fast as B. A alone can do the work in 20 days. If A and B working together , in how many days will the work be completed?
A.23
B.22
C.12
D.24
Answer: C.12
Explanation: A can finish 1 work in 20 days
B can finish 1/1.5 work in 20 days - since A is 1.5 faster than B
This means
B can finish 1 work in 20*1.5 days = 30 days
Now using the awesome GMAT formula when two machines work together they can finish the job in = AB/ (A+B) = 20*30/(20+30) = 20*30/50 = 12 days
So answer is C
Question: A marble statue is being carved by a sculptor. In the first week 35% is cut away, in the second week 20% of the remainder is cut away and in the third week 25% of the remainder is cut away and polished to produce the final statue. The weight of the final statue is 48.75 lbs. What was the weight of the original piece of marble?
A.134
B.167
C.125
D.113
Answer: C.125
Explanation: C
lb : reverse the calculations:
So 48.75 ÷ 0.75 = 65,
65 ÷ 0.8 = 81.25 and
81.25 ÷ 0.65 = 125.
Question: It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill one quarter of the dish?
A.10 days
B.14 days
C.24 days
D.28 days
Answer: D.28 days
Explanation: The bacteria doubles each day, so after 29 days, the dish was half full.
After 28 days, the dish was one quarter full.
The answer is D.
Question: If log x + log y = log (x+y), then,
A.x=y
B.xy=1
C.y= (x-1)/x
D.y=x/(x-1)
Answer: D.y=x/(x-1)
Explanation: log x + log y = log (x+y)
=> log (x+y) = log (xy)
=> x+y = xy => y(x-1) = x
=> y= x/(x-1)
ANSWER:D
Question: From the sale of sleeping bags, a retailer made a gross profit of 16% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
A.3.0
B.3.36
C.24.13
D.25.0
Answer: C.24.13
Explanation: Cost price * 1.16 = Selling price --> Cost price * 1.16 = $28 --> Cost price = $24.13.
Answer: C.
Question: What is the smallest number which when diminished by 24, is divisible 5, 10, 15 and 20?
A.276
B.84
C.88
D.90
Answer: B.84
Explanation: Required Number
= (LCM of 5, 10, 15 and 20) + 24
= 60 + 24 = 84
Option B
Question: If 35 people play hockey and 10 people play both football and hockey and if 10 people play hockey and cricket and 5 people play all three games then the number of people playing hockey alone is?
A.10
B.15
C.20
D.25
Answer: C.20
Explanation: hockey =35 (given)
hockey , cricket , football = 5(given)
hockey , cricket = 10(given)
hockey , football = 10(given)
only hockey = 35 - 5(h,c,f)-5(h,c (10-5)) -5(h,f(10-5))=35-5-5-5=20
ANSWER:C
Question: A man cycles round the boundary of a rectangular park at the rate of 12 kmph and completes one full round in 8 minutes. If the ratio between the length and breadth of the park be 3:2, then its area is:
A.1536m2
B.15360m2
C.153600m2
D.163600m2
Answer: C.153600m2
Explanation: Perimeter= Distance covered in 8 min
= (12000/60 *8)m= 1600m
Let, length= 3x meters and breadth= 2x meters
Then, 2(3x+2x)= 1600 or x= 160
Therefore, length= 480 m and breadth= 320m
Therefore, area= (480*320)m2 = 153600 m2
ANSWER:C
Question: The present ages of three persons in proportions 2 : 8 : 6. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
A.10, 40, 30
B.16, 28, 36
C.16, 28, 35
D.16, 28, 34
Answer: A.10, 40, 30
Explanation: Let their present ages be 2x, 8x and 6x years respectively.
Then, (2x - 8) + (8x - 8) + (6x - 8) = 56
16x = 80
x = 5.
Their present ages are 2x = 10 years, 8x = 40 years and 6x = 30 years respectively.
Answer:A
Question: There are 20 poles with a constant distance between each pole. A car takes 26 second to reach the 12th pole. How much will it take to reach the last pole.
A.44.4543
B.44.9091
C.44.95128
D.44.91288
Answer: B.44.9091
Explanation: Assuming the car starts at the first pole.
To reach the 12th pole, the car need to travel 11 poles (the first pole doesn't count, as the car is already there).
11 poles 26 seconds
1 pole (26/11) seconds
To reach the last (20th) pole, the car needs to travel 19 poles.
19 pole 19 x (26/11) seconds
= 44.9091 seconds
Answer:B
Question: If x is a positive integer, and two sides of a certain triangle have lengths x and y respectively, where x is greater than y, which of the following could be the length of the third side of the triangle?
I. AB < x + y
II. AB > x - y
III. AB < y - x
A.I only
B.II only
C.I and II only
D.II and III only
Answer: C.I and II only
Explanation: Let the third side of triangle be AB
Triangle rule states that:
Difference of other 2 sides < any side < sum of other two sides
So x - y < AB < x + y
I. AB < x + y ; could be a possible value.
II. AB > x - y ; could be a possible value.
III. AB < y - x ; could not be a possible value.
Answer: C
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 12km/hr, the time taken by the car to cover the same distance will be?
A.1hr
B.1hr 8min
C.50min
D.1hr 30min
Answer: B.1hr 8min
Explanation: Speed = 100/1 = 100km/hr
New speed = 100-12 = 88 km/hr
Time taken = 100/88 = 1hr 8min
Answer is B
Question: Jane makes toy bears. When she works with an assistant, she makes 60 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
A.70%
B.80%
C.100%
D.180%
Answer: A.70%
Explanation: We can use fractional equivalents here to solve the problem
80% = 4/5; this means that in 1st case if she prepares 5 bears, in 2nd case she prepares 9 bears
10% = 1/10; this means that in 1st case if she needs 10 hours, in 2nd case she needs 9 hours
Now we come to productivity
Based on above fractional values the productivity in 1st case is 0.5 bears / hour and in the 2nd case it is 1 bear / hour
Hence the productivity is double with the assistant i.e. the increase in productivity is 70%
A
Question: If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+17 is divided by 41?
A.3
B.5
C.6
D.22
Answer: D.22
Explanation: X can be written as 82K + 5 or X = 5,87,169,etc.
X + 17 = 82K + 5+17= 82K +22 or X + 17 = 22,104, 186 etc.
When divided by 41, we will get the remainder 22.
D
Question: When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?
A.13
B.31
C.49
D.54
Answer: D.54
Explanation: If a number is divisible by 9, the sum of its digits must be divisible by 9. --> If a number leaves a remainder 4 when divided by 9 the sum of its digits must be 4.
54
Answer: D
Question: A man covers a certain distance A in a train. If the train moved 4km/hr faster, it would take 30 min less. If it moved 2km/hr slower, it would take 20 mins more. Find the distance?
A.200 km
B.50 km
C.20 km
D.60 km
Answer: D.60 km
Explanation: Not really. When you solve the 2 equation above, you get,
6T-4/3 = 5R/6 from simplifying equation 1
4T-2=R/2 from simplifying equation 2
You can now multiply equation 2 by 5 to get
5(4T-2=R/2 ) = 20T-10=5R/2 and then subtract this new equation from equation 1 to get T=3, followed by R=20 to give you distance A= R*T=20*3=60 km.D
Question: The present worth of a sum due sometimes hence is Rs.5760 and the banker's gain is Rs.10. What is the true discount?
A.Rs. 480
B.Rs. 420
C.Rs. 120
D.Rs. 240
Answer: D.Rs. 240
Explanation: TD = √PW × BG
=√5760×10
=√57600
= Rs. 240
ANSWER:D
Question: How much time will take for an amount of Rs. 150 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A.7
B.4
C.5
D.12
Answer: D.12
Explanation: Time = (100 * 81) / (150 * 4.5) = 12 years'
Answer:D
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
A.13 1/7 days
B.13 1/3 days
C.13 2/3 days
D.13 1/7 days
Answer: B.13 1/3 days
Explanation: 5/30 + 20/x = 1
x = 24
1/30 + 1/24 = 3/40
40/3 = 13 1/3 days
Answer:B