RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A teacher gets paid $20 a day for in school classes. For extra classes outside of school, she charges $5 per hour for every child. If she teaches 25 students inside of school, and 12% of these students take extra classes for 4 hours. How much money does the teacher make for a week of five days total from teaching?
A.400
B.100
C.300
D.500
Answer: A.400
Explanation: Total in school classes pays $20* 5 days= $100
Total students for external tutoring is 0.12*25= 3
Total external classes pays ($5*4 hours)*3 students= $60, which is $60*5= $300 for the week.
Total pay for week is $100+$300= $400.
Answer is A.
Question: In a suite there are men and cats. In all, there are 15 heads and 40 feet. How many men and how many cats are in the suite?
A.8 men and 7 cats.
B.7 men and 8 cats.
C.6 men and 9 cats.
D.10 men and 5 cats.
Answer: D.10 men and 5 cats.
Explanation: 10 men and 5 cats.
Let M = men and C = cats. We can come up with 2 equations.
M + C = 15
2M + 4C= 40
Solving the 2 equations will give 10 men and 5 cats.
Answer D
Question: If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of S
A.25:16
B.24:25
C.5:6
D.4:5
Answer: B.24:25
Explanation: Rectangle is R; say; l=6, w=4
Perimeter of R= 2(l+w)=2(6+4)=2*10=20 (not 24)
Area of R = 6*4=24
Perimeter of S = Perimeter of R (Given)
Perimeter of S = 4 * side_of_S
Perimeter of R = 20
4*side_of_S = 20
side_of_S, say s = 20/4=5
Area of S = s^2 = 5^2=25
Ratio; Area of R/Area of S = 24/25
Ans:B
Question: If 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days then how many artists r required to make 25 paintings using 25 canvases in 25 days?
A.3/2
B.5/2
C.7/2
D.11/2
Answer: B.5/2
Explanation: 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days. So, 1 artist make 1 painting using 1 canvas in 5/2 days. So, 1/10 artist make 1 painting using 1 canvas in 25 days.
So, 25/10 (=5/2) artists make 25 paintings using 25 canvases in 25 days.
ANSWER:B
Question: The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 55 kms. what was the total distance travelled in 12 hours?
A.252 kms
B.152 kms
C.552 kms
D.792 kms
Answer: D.792 kms
Explanation: Explanation:
Total distance travelled in 12 hours =(55+57+59+.....upto 12 terms)
This is an A.P with first term, a=55, number of terms,
n= 12,d=2.
Required distance = 12/2[2 x 55+{12-1) x 2]
=6(132)
= 792 kms.
Answer: D
Question: Ken bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
A.50RW/Q.
B.50QR/W.
C.25RQ/W.
D.25RW/Q.
Answer: D.25RW/Q.
Explanation: Ken bought 2Q steaks for W dollars, so 1 steak = W/2Q
Jerome buys R steaks for a 50% discount: r* (W/4Q)
in cents the answer will be : r* (100 W/4Q)= 25 RW/ Q=D
Question: A bookseller has two display windows. She plans to display 2 new fiction books in the left window, and 3 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
A.24
B.72
C.12
D.336
Answer: C.12
Explanation: The left window will have permutations of the 2 fiction books, so the number of possibilities for that window is
permutations = 2! = (2)(1) = 2
The right window will have permutations of the 3 non-fiction books, so the number of possibilities for that window is
permutations = 3! = (3)(2)(1) = 6
Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 2*6 = 12
Answer: C.
Question: John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
A.16%
B.16.66%
C.17%
D.17.61%
Answer: B.16.66%
Explanation: Increase = (10/60)*100 = (1/6)*100 = 16.66%.
B
Question: Primrose wants to buy hot cocoa for her 9 friends who she volunteers with at the Ohio No-Kill Animal Shelter. Hot cocoa costs $2.00 per cup. Primrose has $15.00 in her pocket. How much money will Primrose have to get from her purse to pay for the drinks?
A.$1
B.$2
C.$3
D.$4
Answer: C.$3
Explanation: Answer= C
The 9 cups of cocoa will cost a total of $18.00. Primrose has $15.00 in her pocket.
$18 - $15 = $3
Primrose needs to get an extra $3.00 from her purse to have the $18.00
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 17. The larger of the two numbers is:
A.276
B.299
C.391
D.345
Answer: C.391
Explanation: Clearly, the numbers are (23 x 13) and (23 x 17).
Larger number = (23 x 17) = 391. Answer: Option C
Question: In digging a pond 20 m * 15 m * 5 m the volumes of the soil extracted will be?
A.3387
B.1000
C.2866
D.1500
Answer: D.1500
Explanation: 20 * 15 * 5 = 1500
Answer: D
Question: Find the resultant profit if A sells a cupboard at a profit of 6% to B and B sells the same to C at a profit of 9%.
A.15.59%
B.15.24%
C.15.54%
D.55.24%
Answer: C.15.54%
Explanation: Explanation:
The resultant profit = 1.06 * 1.09 = 1.1554 = 15.54%
Alternatively, the resultant profit = [x + y + xy/100]
= 6 + 9 + (6*9)/100
= 15 + 0.54
= 15.54%
ANSWER: C
Question: An inspector rejects 0.07% of the meters as defective. How many will he examine to reject 2?
A.A)1500
B.B)2000
C.C)2857
D.D)3000
Answer: C.C)2857
Explanation: Let the number of meters to be examined be x
Then, 0.07% of x = 2
(7/100)*((1/100)*x = 2
x = 2857
Answer is C
Question: A container holds 4 quarts of diesel and 4 quarts of petrol. How many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol?
A.4/3
B.5/3
C.7/3
D.8/3
Answer: D.8/3
Explanation: An alternate to the alligation method is the more direct/algebraic method:
Let x be the amount of petrol to be added.
New total amount of water = 4+x
Total amount of diesel= 4
New total = 4+4+x=8+x
Final ratio required (for petrol) = 5/(5+3)=5/8
Thus, (4+x)/(8+x) = 5/8 --> solving for x you get x = 8/3.
D is thus the correct answer.
Question: Together, Andrea and Brian weigh p pounds; Brian weighs 20 pounds more than Andrea. Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea. In terms of p, what is Cubby's weight in pounds?
A. p/2 - 10
B. 3p/4 - 10
C. 3p/2 - 5
D. 5p/4 - 10
Answer: B. 3p/4 - 10
Explanation: Together, Andrea and Brian weigh p pounds --> A + B = p.
Brian weighs 10 pounds more than Andrea --> B = A + 20 --> A + (A + 20) = p --> A = (p - 20)/2 = p/2 - 10.
Brian and Andrea's dog, Cubby, weighs p/4 pounds more than Andrea --> C = A + p/4 = (p/2 - 10) + p/4 = 3p/4 -10.
Answer: B.
Question: Present ages of X and Y are in the ratio 4:5 respectively. Five years hence this ratio will become 5:6 respectively. What is X's present age in years?
A.35
B.36
C.37
D.20
Answer: D.20
Explanation: Let the present ages of X and Y be 4x and 5x years respectively.
Then, (4x + 5)/(5x + 5) = 5/6
6(4x + 5) = 5(5x + 5) => 24x+30= 25x+25 => x =5
X's present age = 4x = 4*5 = 20
ANSWER:D
Question: If the sum of a list of consecutive odd integers is 10, which of the following could be true?
I. The average (arithmetic mean) of the list is equal to 10.
II. The median of the list is equal to 10.
III. The range of the list is equal to 10.
A.I
B.II
C.III
D.I and II
Answer: A.I
Explanation: Let the numbers be x-4, x-2, x , x+2, x+ 4 and given sum of all 5 number is 10, which is 5x =10 and meaning x is 2
So the list is -2, -0, 2, 4, 6.
ans I
A
Question: If six persons sit around a round table the probability that some specified three of them are always together is
A.1/5
B.1/20
C.3/10
D.4/10
Answer: C.3/10
Explanation: six persons and three grouped => 3! 3! ways
P = (3!3!)5! == 3/10
ANSWER C
Question: Two trains 140m and 160m long run at the speed of 60kmph and 48kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
A.5.6sec
B.8.9sec
C.10 sec
D.12.6sec
Answer: C.10 sec
Explanation: Relative speed = 60+48 = 108 kmph * 5/18 = 30 m/s
Distance covered in crossing each other = 140+160 = 300m
Required time = 300*1/30 = 10 sec
Answer is C
Question: Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $51 after it went on sale for 15% off, what is the difference between the original price and the final price?
A.$0.00
B.$1.00
C.$3.75
D.$5.00
Answer: C.$3.75
Explanation: 0.85*{Original Price} = $51 --> {Original Price} = $60.
{Final Price} = $51*1.25 = $63.75.
The difference = $63.75 - 60$ = $3.75.
Answer: C.
Question: Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 6% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit?
A.117%
B.120%
C.121%
D.135%
Answer: A.117%
Explanation: Since Michelle earns 6% interest compounded semiannually, then she earns 3% interest every 6 months.
Now, the simple interest earned in 5 periods (30 months = 5*6 months) would be 3%*5=15%. But, since the interest iscompoundedevery 6 months, then there would be interest earned on interest (very small amount) thus the actual interest earned would be a little bit more than 15%, only answer choice A fits.
Answer: A
Question: A room 5 m 44 cm long and 3 m 74 cm broad needs to be paved with square tiles. What will be the least number of square tiles required to cover the floor?
A.176
B.124
C.224
D.186
Answer: A.176
Explanation: LENGTH = 5 M 44 CM = 544 CM
BREADTH = 3 M 74 CM = 374 CM
AREA = 544 * 374
HCF = 34
AREA OF SQUARE = 34 * 34 CM2
NO OF TILES REQ = 544* 374/34*34 = 16 * 11 =176
ANSWER A
Question: 600 men have provisions for 20 days. If 200 more men join them, for how many days will the provisions last now?
A.15
B.11
C.10
D.8
Answer: A.15
Explanation: 600*20 = 800*x
x = 15.Answer: A
Question: A and B started a business investing Rs. 90,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
A.3:2
B.9:2
C.18:20
D.1:4
Answer: B.9:2
Explanation: A: B = 90000 : 20000 = 90 : 20 = 18 : 4 = 9 : 2
ANSWER:B
Question: An article is bought for Rs.695 and sold for Rs.900, find the gain percent?
A.33 1/8%
B.33 8/3%
C.39 1/2%
D.35 1/3%
Answer: C.39 1/2%
Explanation: 695 ---- 205
100 ---- ? => 39 1/2%
Answer: C
Question: The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
A.76 cm
B.24 cm
C.88 cm
D.55 cm
Answer: B.24 cm
Explanation: We know perimeter of square = 4(side)
So Side of first square = 40/4 = 10 cm
Side of second square = 32/4 = 8 cm
Area of third Square = 10*10 - 8*8
= 36 cm
So side of third square = 6 [because area of square = side*side]
Perimeter = 4*Side = 4*6 = 24 cm
Answer:B
Question: A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5 km/hr, how much time will it take to cover the same distance?
A.48 min 54sec
B.48min 53sec
C.46min 53sec
D.48min
Answer: A.48 min 54sec
Explanation: Sol. Distance between Ramgarh and Devgarh =(50*44)/60=110/3
Average speed of the bus is decreased by 5 km/hr then the
speed of the bus = 45 km/hr
Required time = 110/3*60/45 = 48 min 54sec
A
Question: What is the speed of the train?
I.The train crosses a tree in 13 seconds.
II.The train crosses a platform of length 250 metres in 27 seconds.
III.The train crosses another train running in the same direction in 32 seconds.
A.I and II only
B.II and III only
C.I and III only
D.Any two of the three
Answer: A.I and II only
Explanation: Explanation:
Let the speed of the train be x metres/sec.
Time taken to cross a tree = Length of the train/Speed of the train
Time taken to cross a platform = (Length of the train + Length of the Platform)/Speed of the train
I gives, 13 = l/x = 13x.
II gives 27 = l + 250/x
=> 13x + 250/x = 27
=> x = 125/7 m/sec.
7
Thus I and II give the speed of the train.
Answer is (A)
Question: m men agree to purchase a gift for rs D. if three men drop out how much more will each have to contribute towards the purchase of gift
A.3D/(M^2-3M)
B.3D/(M^1-3M)
C.4D/(M^2-3M)
D.2D/(M^2-3M)
Answer: A.3D/(M^2-3M)
Explanation: Each of M men have to contribute = D/M.
If three men drop then each of remaining men have to pay = D/(M-3).
Therefore after 3 were drop each have to contribute = [D/(M-3)]-[D/M].
i.e., 3D/(M^2-3M).
ANSWER:A
Question: There are 27 pearls in a bag. One among them is less in weight. You have been given 2 pan weight machine. In how many trials, you will be able to find the defected one?
A.4
B.3
C.11
D.13
Answer: A.4
Explanation: First we would take 13 perls in each pan and if we found that both are equal then the remaining perl(which has not taken for weighing) is having less weight or if there is an imbalance in either side of the pan we would consider those perls to find out the less weight perl. In this way there would be 4 stages at max to find out the less weighing perl by repaeting the same process as 1st. so answer is 4
ANSWER:A
Question: In a set of numbers from 100 to 1000 inclusive, how many integers are odd and do not contain the digit "5"?
A.
B.
C
D.
E.
A.180
B.196
C.286
D.288
Answer: D.288
Explanation: Should be 288.
We have to find the total number of 3-digit odd numbers not having 5 as a digit.
Units digits will be among 1,3,7,9
Tenth digits will be among 0,1,2,3,4,6,7,8,9
Hundredth digits will be among 1,2,3,4,6,7,8,9
So total numbers = 4*9*8 =288
ANSWER:D
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an odd number
II. P is a multiple of 17
III. P is a multiple of 19
A.I only
B.II only
C.III only
D.None of the above
Answer: D.None of the above
Explanation: The correct answer is D.
Question: If a > 1, which of the following is equal to (4a + 12)/(a^2 + 2a - 3)?
A.a
B.a + 3
C.4/(a - 1)
D.2a/(a - 3)
Answer: C.4/(a - 1)
Explanation: Here's the algebraic approach:
(4A + 12)/(A^2 + 2A - 3) can be rewritten as...
4(A + 3)/(A+3)(A-1)
We can simplify the fraction, which leaves us with...
4/(A-1)
Ans : C
Question: A palindrome is a number that reads the same forward and backward, such as 196. How many odd, 4-digit numbers are palindromes?
A.40
B.45
C.50
D.90
Answer: D.90
Explanation: A palindrome is a number that reads the same forward and backward. Examples of four digit palindromes are 1221, 4334, 2222 etc
You basically get to choose the first two digits and you repeat them in opposite order. Say, you choose 45 as your first two digits. The next two digits are 54 and the number is 4554.
Also, you need only odd palindromes. This means that you need an odd digit at the end i.e. 1/3/5/7/9. This means that you need to start the number with an odd digit. Only then will it end with an odd digit.
In how many ways can you pick two digits such that the first one is an odd digit?
The first digit can be selected in 5 ways.(1/3/5/7/9)
The second digit can be selected in 10 ways.(0/1/2/3...8/9)
Total = 5*18 = 90 ways
D
Question: A shopping cart contains only apples, oranges, and pears. If there are four times as many oranges as apples, and four times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
A.1/2
B.1/4
C.1/8
D.1/16
Answer: D.1/16
Explanation: O = 4A
P = 4O = 16A
A = P/16
The answer is D.
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 29 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
A.457 km
B.444 km
C.547 km
D.600 km
Answer: D.600 km
Explanation: 1h ----- 5
? ------ 60
12 h
RS = 29 + 21 = 50
T = 12
D = 50 * 12 = 600
Answer:D
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
A.8 2 ½ kmph
B.2 7 ½ kmph
C.6 2 ½ kmph
D.2 2 ½ kmph
Answer: D.2 2 ½ kmph
Explanation: 100 --- 10 DS = 10
? ---- 1
75 ---- 15 US = 5
? ----- 1 S = (10 - 5)/2
= 2 2 ½ kmph
Answer:D
Question: If A got 80 marks and B got 50 marks, then what percent of A's mark is B's mark?
A.A)62.5%
B.B)80%
C.C)65%
D.D)75%
Answer: A.A)62.5%
Explanation: A's marks = 80 ; B's marks = 50.
Let x% of A = B => x/100 * 80 = 50
=> x = (50 * 100)/80 = 62.5
B's marks is 62.5% of A's marks.
ANSWER:A
Question: If it takes 8 identical printing presses exactly 4 hours to print 6,000 newspapers, how long would it take 4 of these presses to print 4,000 newspapers?
A.4 hours, 45 minutes
B.4 hours, 30 minutes
C.4 hours, 50 minutes
D.5 hours, 20 minutes
Answer: D.5 hours, 20 minutes
Explanation: 8 presses - 6,000 newspapers - 4 hours ;
4 presses - 3,000 newspapers - 4 hours ; (240 mins)
4 presses - 4,000 newspapers - 240/3000*4000 = 320 mins = 5 hrs 20 mins
Answer : D
Question: Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1340, how much does he invest in 12% stock at Rs. 120?
A.s. 4000
B.s. 4500
C.s. 5000
D.s. 6000
Answer: C.s. 5000
Explanation: Let investment in 12% stock be Rs. x.
Then, investment in 15% stock = Rs. (12000 - x).
12/120 * x + 15/125 * (12000- x) = 1340
x/10 + 3/25(12000-x) = 1340
5x + 72000 - 6x = 1340 x 50
x = 5000.
Answer = C
Question: A man whose speed is 7 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
A.6.7
B.4
C.6
D.9
Answer: A.6.7
Explanation: M = 7.0
S = 1.5
DS = 8.5
US = 5.5
AS = (2 * 8.5 * 5.5) /14 = 6.7
Answer:A
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 38?
A.3
B.4
C.7
D.32
Answer: C.7
Explanation: n = 5p + 1 = 6,11,16,21,26,31
n = 7q + 3 = 3,10,17,24,31
=>n = 38m + 31
To get this, we need to take LCM of co-efficients of p and q and first common number in series.
So we need to add 7 more to make it
38m + 38
Answer - C
Question: A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface.
A.66 m square
B.49 m square
C.77 m square
D.44 m square
Answer: B.49 m square
Explanation: Area of the wet surface =
2[lb+bh+hl] - lb = 2 [bh+hl] + lb
= 2[(4*1.25+6*1.25)]+6*4 = 49 m square
Answer: B
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
A.8 1/8 sec
B.8 1/2 sec
C.8 6/2 sec
D.7 1/2 sec
Answer: B.8 1/2 sec
Explanation: D = 170
S = 72 * 5/18 = 20 mps
T = 170/20 = 8 1/2 sec
Answer: B
Question: A man started running at a distance of 225 metre from the train. If the speed of the man is 6 km/h, then how much time should the train wait so that the man will be just able to catch it ?
A.2 1⁄4 min
B.3 min
C.4 1⁄4 min
D.4 1⁄2 min
Answer: A.2 1⁄4 min
Explanation: Time = 225/6×518 = 135 sec = 21⁄4 min.
Answer A
Question: If the city centers of Tokyo and Paris are 6035 miles apart, which of the following is closest to the distance between the city centers in inches? (There are 5,280 feet in a mile.)
A.1.2 × 10^7
B.1.8 × 10^7
C.3.8 × 10^8
D.3.8 × 10^9
Answer: C.3.8 × 10^8
Explanation: 6035 miles = 6035 x 5280 feet/mile x 12 inches/foot which is about 3.8 x 10^8 inches.
The answer is C.
Question: What least number must be subtracted from 42739 so that remaining no.is divisible by 15
A.3
B.4
C.6
D.8
Answer: B.4
Explanation: Explanation:
On dividing 42739 by 15 we get the remainder 4, so 4 should be subtracted
Option B
Question: A library branch originally contained 18360 volumes, 30% of which were fiction novels. 1/3 of the volumes were transferred to another location and 1/3 of the volumes transferred were fiction novels. What percent of the remaining collection was fiction novels?
A.2.5%
B.17.67%
C.28.3%
D.45.2%
Answer: C.28.3%
Explanation: As everything is either fraction or percentage, the given figure 18360 is just a false alarm. We can do this by assuming that originally the branch had 100 volumes.
Originally:
Total- 100
Fiction- 30
Transferred:
Total- 33 (One third of original total)
Fiction- 11 (One third of those transferred)
Remaining:
Total- 100−33=67100−33=67
Fiction- 30−11=1930−11=19
To find:
19 is what percent of 67
28.3
Option C
Question: From among the 34 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
A.1122
B.1260
C.1060
D.1160
Answer: A.1122
Explanation: There are 34 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 34 ways. When one person is appointed as leader, we are left with 35 students. Out of these 33 teachers, we can select one class representative. So, a class representative can be selected in 33 ways. Hence, the number of ways in which a leader and class representative can be selected = 34 x 33= 1122
ANSWER:A
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
A.1350
B.2987
C.2369
D.6989
Answer: A.1350
Explanation: Area = (l + b +2d) 2d
= (75 + 55 +2.5 * 2) 2*2.5 => 675
675 * 2
= Rs.1350
Answer:A
Question: A store’s selling price of $2500 for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. What selling price would yield a profit of 50 percent of the computer’s cost?
A.	$2678
B.	$2464
C.	$2650
D.	$2732
Answer: A.	$2678
Explanation: 1.4x = 2500
x=2500/1.4
so, 1.5X = 2500*1.5/1.4= 2478
Answer:- A
Question: A wooden box of dimensions 8 m x 3 m x 6 m is to carry rectangularboxes of dimensions 8 cm x 3 cm x 2 cm. The maximum number ofboxes that can be carried in the wooden box, is
A.9800000
B.1000000
C.7500000
D.3000000
Answer: D.3000000
Explanation: Explanation: Number = (800*300*600)/8*3*2 = 3000000 Answer: D
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
A.5%
B.7%
C.3%
D.9%
Answer: A.5%
Explanation: 160
= (180*4*R)/100
R = 5%
Answer:A
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
A.17
B.16
C.70
D.13
Answer: C.70
Explanation: 1/20 - 1/28 = 1/70
70 minutes
Answer: C
Question: Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?
A.91.5
B.21.5
C.61.5
D.81.5
Answer: D.81.5
Explanation: Explanation:
Let the number of students in classes A, B and C be P, Q and R respectively.
Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.
Also given that,
(83P + 76Q) / (P + Q) = 79
=>4P = 3Q.
(76Q + 85R)/(Q + R) = 81
=>4R = 5Q,
=>Q = 4P/3 and R = 5P/3
Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5
Answer: D
Question: If X = 2 + 1/(1+1/(1-1/2))then the value of 3x+7/3?
A.9 1/3
B.10 1/3
C.11
D.11 2/3
Answer: A.9 1/3
Explanation: X = 2 + 1/(1+1/(1-1/2))
= 2 + 1/(1+2)
= 2 + 1/3
X = 7/3 ==> 3X + 7/3 => 3(7/3) + 7/3
==> 21/3 + 7/3
==> 28/3
==> 9 1/3.
A)
Question: The relationship between quantities m and n is expressed by the equation 25m = 5(n - 42). If the difference between the two chosen values of n is 30, what is the difference in the corresponding values of m?
A.30/11
B.42/11
C.6
D.150/11
Answer: C.6
Explanation: Another Simple way
25m=5(n-42)
Assume n = 42 to make one side equal to 0
then 25m=0
and m = 0
Repeat it by assuming n as 42+30 i.e 72
25m= 5(72-42)
25m=150
m=150/25
diff = 6 - 0 = 6
Answer : C