RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many Q ways can the test be completed if every question is unanswered?
A.24
B.120
C.625
D.720
Answer: C.625
Explanation: 5 choices for each of the 4 questions, thus total Q of 5*5*5*5 = 5^4 = 625 ways to answer all of them.
Answer: C.
Question: Salad dressing P is made up of 30% vinegar and 70% oil, and salad dressing Q contains 10% vinegar and 90% oil. If the two dressings are combined to produce a salad dressing that is 20% vinegar, dressing P comprises what percentage of the new dressing?
A.60%
B.50%
C.40%
D.30%
Answer: B.50%
Explanation: Let x be the percentage of dressing P in the new dressing.
0.3x + 0.1(1-x) = 0.20
0.2x = 0.10
x = 0.5 = 50%
The answer is B.
Question: A small company reduced its faculty by approximately 13 percent to 195 employees. What was the original number of employees?
A.182
B.208
C.220
D.224
Answer: D.224
Explanation: If x is the original number of employees, then after 13% reduction in employees number is .87x
but we are given .87x = 195
x = 224
So the original number of employees is 224
Correct Answer - D
Question: A factory has a fixed cost of $43,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?
A.9,000
B.14,000
C.17,200
D.22,500
Answer: C.17,200
Explanation: selling price - Cost price = 2.5 so per unit profit =2.5
cost to recover =43000
no of items required = 43000/2.5 = 17200
Answer: C
Question: There are 17 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
A.156
B.167
C.157
D.342
Answer: D.342
Explanation: The total number of stations = 19
From 19 stations we have to choose any two stations and the direction of travel (i.e., Hyderabad to Bangalore is different from Bangalore to Hyderabad) in 19P₂ ways.
²⁰P₂ = 19 * 18
= 342.
Answer: D
Question: Village X has a population of 78000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
A.15
B.19
C.11
D.18
Answer: D.18
Explanation: Let the population of two villages be equal after p years
Then, 78000-1200p=42000+800p
2000p=36000
p=18
Answer is D.
Question: Find the average of the series : 312, 162, 132, 147 and 122?
A.170
B.175
C.180
D.185
Answer: B.175
Explanation: Average = (312 + 162 + 132 + 147+ 122)/5 = 875/5 = 175
ANSWER:B
Question: 583 is related to 293 in the same way as 488 is related to
A.2338
B.378
C.277
D.299
Answer: B.378
Explanation: Explanation:
Sum of digits of the first number is 2 more than the sum of digits of the second number.
Answer: B) 378
Question: When the positive integer k is divided by the positive integer n , the remainder is 13. If k/n = 81.2 , what is the value of n?
A.9
B.20
C.55
D.70
Answer: B.20
Explanation: Here's an approach that's based on Number Properties and a bit ofbrute forcemath:
We're told that K and N are both INTEGERS.
Since K/N = 81.2, we can say that K = 81.2(N)
N has tomultiply outthe .2 so that K becomes an INTEGER. With the answers that we have to work with, N has to be a multiple of 5. Eliminate A and E.
With the remaining answers, we can TEST THE ANSWERS and find the one that fits the rest of the info (K/N = 81.2 and K/N has a remainder of 11)
Answer B: If N = 20, then K = 1624; 1624/20 has a remainder of 4 NOT A MATCH
Answer C: If N = 55, then K = 4466; 4466/55 has a remainder of 11 MATCH.
Final Answer:
B
Question: How many odd three-digit integers greater than 800 are there such that all their digits are different?
A.40
B.56
C.72
D.81
Answer: C.72
Explanation: In the range 800 - 900:
1 choice for the first digit: 8;
5 choices for the third digit: 1, 3, 5, 7, 9 (as the number is odd);
8 choices for the second digit: 10 digits - first digit - third digit = 8 digits.
1*5*8 = 40.
In the range 900 - 999:
1 choice for the first digit: 9;
4 choices for the third digit: 1, 3, 5, 7 (9 is out as it's the first digit);
8 choices for the second digit: 10 digits - first digit - third digit = 8 digits.
1*4*8 = 32.
Total: 40+32 = 72.
Answer: C
Question: Which of the following is non negative?
A.(c-0.9)(c-1)
B.(c+1)(c-1)
C.(c-0.9)(c-0.9)
D.(c-0.9)(c+0.9)
Answer: C.(c-0.9)(c-0.9)
Explanation: 5-sec approach:
C. (c-0.9)(c-0.9) = (c-0.9)^2. The square of a number is always non-negative.
Answer: C.
Question: Evaluate: 40 - 12÷6×2 =
A.A)24
B.B)36
C.C)48
D.D)60
Answer: B.B)36
Explanation: According to order of operations, 12÷6×2 (division and multiplication) is done first from left to right
12÷6×2 = 2 × 2 = 4
Hence
40 - 12÷6×2 = 40 - 4 = 36
correct answer is B) 36
Question: The mall charges 50 cents for the first hour of parking and $3 for each additional hour until the customer reaches 4 hours, after that the parking fee is $1 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay?
A.$11.5.
B.$12.
C.$13.
D.$14.5
Answer: C.$13.
Explanation: Charges for 7 Hours = ( First hour @ $ 0.50 ) + ( 3 hours @ $ 3 ) + ( 3.5 hours @ $ 1 )
Charges for 7 Hours = ( 1 @ $ 0.50 ) + ( 3 hours @ $ 3 ) + ( 3.5 hours @ $ 1 )
Charges for 7 Hours = ( $ 0.50 ) + ( $ 9) + ( $ 3.5 )
Charges for 7 Hours = ( $ 0.50 ) + ( $ 9) + ( $ 3.50 )
Charges for 7 Hours = $ 13
Hence correct answer must be (C)
Question: A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 80 percent of books that were loaned out are returned and there are 66 books in the special collection at that time, how many books of the special collection were loaned out during that month?
A.20
B.30
C.35
D.45
Answer: D.45
Explanation: there are 9 books less(75-66) which represents 20% of the loaned books (100-80)
So total loaned out books = 45
Answer D
Question: Find a 6-digit integer abcdef with the following properties:
Take the rightmost digit and place it in front of the integer to form a new number (abcdef --> fabcde).
The new one is the product of the old one and the shifted digit (fabcde = f*abcdef).
What was the original integer?
A.122564
B.102564
C.142564
D.102574
Answer: B.102564
Explanation: a=1 b=0 c=2 d=5 e=6 f=4
fabcde = f x abcdef
410256 = 4 x 102564
ANSWER:B
Question: A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 840 in 4 years. The sum is?
A.s. 780
B.s. 638
C.s. 650
D.s. 730
Answer: A.s. 780
Explanation: S.I. for 1 year = (840 - 825) = Rs. 2915
S.I. for 3 years = 15 * 3 = Rs. 45
Principal = (825 - 45) = Rs. 780.
ANSWER:A
Question: In how many different number of ways 3 boys and 2 girls can sit on a bench?
A.700
B.710
C.120
D.300
Answer: C.120
Explanation: npn = n!
5p5 = 5 × 4 × 3 × 2 × 1 = 120
C)
Question: A committee has 4 men and 7 women. What are the number of ways of selecting 2 men and 4 women from the given committee?
A.125
B.150
C.180
D.210
Answer: D.210
Explanation: The number of ways to select two men and four women = 4C2 * 7C4 = 6 * 35 = 210
The answer is D.
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 110m, how long will it take to cross a railway platform 165m long?
A.8 sec
B.9 sec
C.7 1/2 sec
D.10 sec
Answer: C.7 1/2 sec
Explanation: Speed of the train=(132*5/18)m/sec=(110/3)m/sec
Distance covered in passing the platform= (110+65)m=275m
Therefore, Time taken=(275*3/110)sec =7 1/2 Sec
Answer: Option C
Question: What percent is 70 of 280?
A.12 %
B.25 %
C.26 %
D.27 %
Answer: B.25 %
Explanation: 70/280 = 1/4
1/4 × 100 = 25 %
B
Question: An air conditioner can coo the hall in 25 minutes while another takes 30 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?
A.about 16 minutes
B.about 24 minutes
C.about 14 minutes
D.about 34 minutes
Answer: C.about 14 minutes
Explanation: Take LCM of 25 and 30 = 150
25*6=150/ 30*5=150.
So if both are switched on together , room cooled in 150/(6+5)=150/11=13.64 minutes
13.64 can be round to 14 minutes , so about 14 minutes
ANSWER: C
Question: A man can row 8 kmph in still water. When the river is running at 2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
A.5.75
B.5.7
C.7.5
D.5.74
Answer: C.7.5
Explanation: M = 8
S = 2
DS = 10
US = 6
x/10 + x/6 = 1
x = 3.75
D = 3.75 * 2 = 7.5 Answer: C
Question: For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 5, 8, 8, 7, 9, 10, 6, 6, 8 and 7. By what percent did she fall short of her goal?
A. 4%
B. 7.5%
C. 8%
D. 10%
Answer: B. 7.5%
Explanation: Expected minimum rating = 8
Deviation from the expected minimum rating = (-3 + 0 + 0 - 1 + 1 + 2 - 2 - 2 + 0 - 1)/10 = -6/10 = -0.6
Current rating is 0.6 less than 8.
Percentage = (0.6/8)*100 = 7.5%
Answer: B
Question: The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
A.8 ml
B.5 ml
C.4 ml
D.6 ml
Answer: D.6 ml
Explanation: 4.5 4.5
30% 70%
30% ----- 4.5
70% ------? => 10.5 - 4.5 = 6 ml
Answer:D
Question: The sale price sarees listed for Rs.280 after successive discount is 12% and 8% is?
A.288
B.226
C.250
D.230
Answer: B.226
Explanation: 280*(88/100)*(92/100)
= 226
Answer: B
Question: A train 250 m long running at 72 kmph crosses a platform in 15 sec. What is the length of the platform?
A.50m
B.200m
C.250m
D.270m
Answer: A.50m
Explanation: D = 72 * 5/18 = 15 = 300 â€“ 250 = 50m
ANSWER:A
Question: The value of Underrot 17pi/6 + Underrot 1 is most nearly equal to which of the following integers? (Please refer to the picture below for the exact version of the question)
A.10
B.12
C.8
D.3
Answer: A.10
Explanation: Under root (17pi/6) ~ 9
Under root (1) = 1
Hence, 9+1 = 10 is the approx answer. A is the correct answer.
Question: A group of 15 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
A.(D) nE / [15(15-n)]
B. (12 - n)/E
C. E/[12(12-n)]
D.(A) E/(12 - n)
Answer: A.(D) nE / [15(15-n)]
Explanation: total cost =E
no of people willing to participate initially =15
initial cost for each =E/15
when n people decided not to participate
Cost for each =E/15-n
A
Question: Two tains of equal lengths take 10 seconds and 16 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
A.12
B.14
C.16
D.12.3
Answer: D.12.3
Explanation: Sol.
Speed of the first train = [120 / 10] m/sec = 12 m/sec.
Speed of the second train = [120 / 16] m/sec = 7.5 m/sec.
Relative speed = (12 + 7.5) = m/sec = 19.5 m/sec.
∴ Required time = (120 + 120) / 19.5 secc = 12.3 sec.
Answer D
Question: The price of a cycle is reduced by 25 % The new price is reduced by a further 20 %. The 2 reductions together are equal to a single reduction of
A.25%
B.38%
C.40%
D.52%
Answer: C.40%
Explanation: Let the original price of the cycle be 100. After the first reduction the price will be 75.
This new price is then reduced by 20% = 0.8 x 75 = 60
60 represents a reduction of 40 percent on the original.
C
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
A.12 minutes
B.17 min
C.19 min
D.11 min
Answer: A.12 minutes
Explanation: Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.
Relative speed of A and B
= 6 - 1 = 5 rounds per hour.
Time taken to complete one round at this speed
= 1/5 hr
= 12 min.
Answer: A
Question: A palindrome is a number that reads the same forward and backward, such as 171. How many even, 6-digit numbers are palindromes?
A.405
B.450
C.400
D.900
Answer: C.400
Explanation: First recognize you only need to consider the first three digits (because the second three are just the first three flipped)
There are 900 possibilities for the first three digits of a 6 digit number, 100-999 inclusive. Everything starting with a 2,4,6,8 will be even, which is 4/9ths of the combinations.
4/9*900 = 400
ANSWER:C
Question: Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
A.2 : 3
B.4 : 3
C.6 : 7
D.9 : 16
Answer: B.4 : 3
Explanation: Sol.
Let us name the trains as A and B. Then,
(A's speed) : (B's speed) = √b : √a
= √16 : √9
= 4 : 3.
Answer B
Question: Two stations AA and BB are 110 km apart on a straight line. One train starts from AA at 7 am and travel towards BB at 20 km/hr speed. Another train starts from BB at 8 am and travel towards AA at 25 km/hr speed. At what time will they meet?
A.9 am
B.10 am
C.11 am
D.12 am
Answer: B.10 am
Explanation: In 1 hour (7 am to 8 am) train from station A travels 20 km distance and reaches to C, (say).
A ----------------- C ---------------B
7 am --------------------------------- 8 am
AC = 20 km, CB = 90 km
Distance travelled in 1 hour = 20 km
Remaining distance =110âˆ’20 = 90 km
Time=Distance/Speed
90/20+25=2 hours
So, time = 8 am + 2 am = 10 am
Answer : B
Question: Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,600. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?
A.850
B.1,100
C.1,800
D.2,550
Answer: C.1,800
Explanation: Assume the cost of the least sized (26 Inch) TV = x
Cost of 28 inches TV = x + 200
Cost of 30 inches TV = x + 400
Cost of 32 inches TV = x + 600
Total cost = 4x + 1200 = 3600
Therefore x = 2400/4 = 600
Price of 28inch + 30 inch = 800 + 1000 = 1800
Option C
Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 10 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view?
A.1/6
B.1/3
C.2/3
D.5/6
Answer: C.2/3
Explanation: priyalr
6 seats per row, think of a boeing 737. We have 30 rows, therefore window 30 seats one one side and 30 window seats on the other, totaling 60 window seats on the whole plane.
the view of the window of 10 rows is blocked. two wings, therefore 20 window seats are blocked.
Total window seats = 60
Total blocked window seats = 20
Total unblocked seats = 40
We know that a window seat was given, therefore probability for not window seat is 40/60 =2/3
ANS C
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
A.81 : 121
B.9 : 11
C.729 : 1331
D.27 : 121
Answer: A.81 : 121
Explanation: Ratio of the sides = ³√729 : ³√1331 = 9 : 11
Ratio of surface areas = 92 : 112 = 81 : 121
ANSWER:A
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is?
A.153600
B.155600
C.156600
D.157000
Answer: A.153600
Explanation: Perimeter = Distance covered in 8 min. = 12000	x 8	m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m^2.
A)
Question: A car traveled 300 meters from point A to point B at a speed of 6 meter per second. Then it took the same route and came back to point A at a speed of 2 meter per second. What is its average speed?
A.2m/s
B.3m/s
C.4m/s
D.5m/s
Answer: B.3m/s
Explanation: Since the distance traveled is same, we can apply direct formula= 2XS1XS2/(S1+S2)
2X6X2/8= 3. 'B' is the answer.
Question: The U.S. Defense Department has decided that the Pentagon is an obsolete building and that it must be replaced with an upgraded version: the Hexagon. The Secretary of Defense wants a building that is exactly 70 feet high and 200 feet on a side, and that has a hexagonal bull's-eye cutout in the center (somewhat like the current one) that is 25 feet on a side. What will be the volume of the new building in cubic feet?
A.3,937,500 cubic feet
B.15,750 cubic feet
C.11550√3 cubic feet
D.7,160,947 cubic feet
Answer: D.7,160,947 cubic feet
Explanation: Volume of the Hexagon with side 200 and height 70 = Area * height
= 6*(sqrt(3)/4)(200^2)(70)
Volume of the center bull's eye that is similar in shape of a hexagon but side 25
= 6 * (sqrt(3)/4)(25^2)*70
Volume of the building = 6*(sqrt(3)/4)(200^2)(70) - 6 * (sqrt(3)/4)(25^2)*70=7,160,947
Answer is D
Question: An outlet pipe empties a tank which is full in 10 hours. If the inlet pipe is kept open, which lets water in at the rate of 16 litres/min then outlet pipe would take 8 hours longer. Find the capacity of the tank.
A.8600 litres
B.200 litres
C.21600 litres
D.11200 litres
Answer: C.21600 litres
Explanation: Let the rate of outlet pipe be x liters/hour;
Rate of inlet pipe is 16 litres/min, or 16*60 = 960 liters/hour;
Net outflow rate when both pipes operate would be x-960 liters/hour.
Capacity of the tank = x*10 hours = (x-960)*(10+8) hours
10x=(x-960)*18 --> x=2160 --> capacity = 10x = 21600 liters.
Answer: C.
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is?
A.15
B.18
C.20
D.25
Answer: C.20
Explanation: Number = (35 * 12) = 420
Correct quotient = 420/21 = 20
C)
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 56 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
A.52
B.54
C.56
D.58
Answer: D.58
Explanation: Annie earned 40x + 16(2x) = 72x
Let H be the number of hours that Harry worked.
Harry earned 30x + 1.5x(H-30) = 72x
(1.5x)(H) = 87x
H = 58 hours
The answer is D.
Question: Two members of a club are to be selected to represent the club at a national meeting. if there are 153 different possible selections of the 2 members, how many members does the club have?
A.20
B.27
C.40
D.18
Answer: D.18
Explanation: I have done this problem by substituting numbers
We have n!/2!(n-2)! =153
or n(n-1)/2 = 153 or n^2 -n =306 or (n-18) (n+17)=0
n=18 satisfies the equation
D
Question: Working at constant rate, pump X pumped out half of the water in a flooded basement in 3 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
A.a. 20
B.b. 12
C.c. 14
D.d. 18
Answer: A.a. 20
Explanation: rate of x=1/8
rate of x+y=1/6
rate of y=1/6-1/8=1/24
20 hours
A
Question: An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?
A.72
B.88
C.266
D.16
Answer: A.72
Explanation: Let CP = Rs. 100x
SP = Rs. 120x
MP = 120x/80 * 100 = Rs. 150x
D = Rs. 150x - Rs. 120x = Rs. 30x
D - P = 30x - 20x = Rs. 6, 10x = Rs. 6
120x = 120/10 * 6 = Rs. 72
Answer: A
Question: If a copier makes 6 copies every 3 seconds, then continues at this rate, how many minutes will it take to make 6,000 copies?
A.55
B.60
C.50
D.65
Answer: C.50
Explanation: 6 copies 3 seconds
6000 copies = (6000*3)/6 seconds
= 3000/60 minutes
= 50 minutes
Answer : C
Question: Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2400.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 2000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is
A.20%
B.30%
C.60%
D.50%
Answer: C.60%
Explanation: Because you need the % increase in profit.
The increase in profit = 4.5 * 1000 (increase in the units from 2000 to 3000)
The original profit = 4.5*2000 - 1500 (initially 2000 units were sold)
% increase = (4.5 * 1000)/(4.5*2000 - 1500) * 100 =60%
ANSWER:C
Question: A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
A.11 hrs
B.8 hrs 45 min
C.7 hrs 45 min
D.9 hrs 20 min
Answer: C.7 hrs 45 min
Explanation: Explanation:
Solution 1Given that time taken for riding both ways will be 2 hours lesser than the time needed for waking one way and riding back.
Therefore,
time needed for riding one way = time needed for waking one way - 2 hours
Given that time taken in walking one way and riding back =5 hours 45 min
Hence, the time he would take to walk both ways
=5 hours 45 min + 2 hours
=7 hours 45 min
ANSWER IS C
Question: The average of six numbers is 3.95. The average of two of them is 3.5, while the average of the other two is 3.85. What is the average of the remaining two numbers?
A.4.5
B.4.6
C.4.7
D.4.8
Answer: A.4.5
Explanation: Sum of the remaining two numbers
= (3.95 × 6) – [(3.5 × 2) + (3.85 × 2)]
= 23.70 – (7.0 + 7.7)
= 23.70 – 14.7 = 9.00
∴ Required average = (9.0⁄2) = 4.5
Answer A
Question: In a certain sequence the term an is given by the formula:
an=an−1+2n−1 for all integer n>1. If a7=49, what is a1?
A.−1
B.0
C.1
D.2
Answer: C.1
Explanation: an=an−1+2n−1an=an−1+2n−1....
as we can see that each subsequent term is 2n-1 greater than previous..
so we can straightway find a7a7=(2*1-1)+(2*2-1)+(2*3-1)+(2*4-1)+(2*5-1)+(2*6-1)+(2*7-1)+a1a1=3+5+7+9+11+13+a1a1
a7a7=49=48+a1a1..
or a1a1=1
ans C
Question: 50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what percent of the apartments with windows have hardwood floors?
A.10
B.16 2/3
C.40
D.50
Answer: D.50
Explanation: total apartments = 100
with windows and hardwoods = 50
without windows = 50
without windows but having hardwoods = 0.25 *50 = 12.25
12.25 + with windows and hardwoods = 60
with windows and hardwoods = 47.75
% = 47.75 / 50 > 50%
ANSWER:D
Question: When a natural number N is successively divided by 12,13,14,15. the remainders are 16,17,18,19. What will be the sum of the remainders if the order of the division is reversed?
A.16
B.19
C.12
D.11
Answer: B.19
Explanation: 12 13 14 15
16 17 18 19
leave the top right- most number 8
start with bottom right-most number 5
19*14+18=284
284*13+17=3709
3709*12+16=44524
this is the number required
Now, do the successive division in the reverse order
The sum of the remainders is 19
Hence, the correct option is B
Question: The cross-section of a water channel is a trapezium in shape. If the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 770 square meters, what is the depth of the channel (in meters)?
A.50
B.60
C.70
D.80
Answer: C.70
Explanation: 1/2 * d * (14 + 8) = 770
d = 70
The answer is C.