RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 5 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 5 minute mark.)
A.21
B.22
C.23
D.24
Answer: C.23
Explanation: 5 minutes is 300 seconds.
Lamp A and Lamp B will flash together every 24 seconds.
300/24=12 plus remainder.
In the time period, Lamp A and Lamp B will flash together 12 times.
Lamp A and Lamp C will flash together every 30 seconds.
300/30=10.
In the time period, Lamp A and Lamp C will flash together 10 times.
Lamp B and Lamp C will flash together every 40 seconds.
300/40=7 plus remainder.
In the time period, Lamp B and Lamp C will flash together 7 times.
All three lights will flash together every 2*2*2*3*5=120 seconds.
300/120=2 plus remainder.
We have counted these triple flashes three times, so we need to subtract three times the number of times that all three lights flash together.
The number of times that exactly two lights flash together is 12+10+7-6=23 times.
The answer is C.
Question: If p#q denotes the least common multiple of p and q, then W=((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, W=((12#16)#(18#24)) = 48#72 = (48*72)/24 = 2*72 = 144
The correct answer is C.
Question: A student committee on academic integrity has 42 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
A.7
B.8
C.9
D.10
Answer: A.7
Explanation: xC1 * (x-1)C1=42
x^2 -x -42 =0
(X-7 (X+6) = 0
X= 7 , -6
-6 can't possible.
Hence 7 should be the answer
A
Question: 0.35 represents what percent of 70?
A.0.05%
B.0.5%
C.5%
D.500%
Answer: B.0.5%
Explanation: One more method
0.35 represents what percent of 70?
Divide by 70
0.005 represents what percent of 1?
Answer = 0.005*100 = 0.5% = B
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length
A.12.9 sec
B.12.1 sec
C.13.9 sec
D.29.9 sec
Answer: B.12.1 sec
Explanation: Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 110 + 132 = 242 m.
Required time = 242/20 = 12.1 sec.
Answer:B
Question: At what time between 3 and 4 o’clock, the hands of a clock coincide?
A.16 4⁄11 minutes past 3
B.15 5⁄61 minutes past 3
C.15 5⁄60 minutes to 2
D.16 4⁄11 minutes to 4
Answer: A.16 4⁄11 minutes past 3
Explanation: Since, in one hour, two hands of a clock coincide only once, so, there will be value.
Required time T = 2⁄11(H × 30 + A°) minutes past H.
Here H = initial position of hour hand = 3(Since 3 o’clock)
A° = required angle = 0°(Since it coincides)
T = 2⁄11(3 × 30 + 0) minutes past 3
= 164⁄11 minutes past 3
Answer A
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
A.484
B.676
C.729
D.900
Answer: C.729
Explanation: 729 = 3^6 so it can not be the square of an even number multiplied by an odd number.
The answer is C.
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
A.18/35
B.29/98
C.18/37
D.18/29
Answer: A.18/35
Explanation: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 3/5 * 4/7 + 2/5 * 3/7
= 12/35 + 6/35
= 18/35
Answer:A
Question: The annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years B in which the population would be doubled assuming there is no emigration or immigration is
A.20
B.25
C.B=30
D.B=35
Answer: D.B=35
Explanation: Suppose the population of the country in current year is 1000.
So annual increase is 1000 + 39.4 - 19.4=1020
Hence every year there is an increase of 2%.
2000=1000(1+(2/100))^n
n=35 Answer is D.
Question: A certain drive-in movie theater has total of 12 rows of parking spaces. There are 10 parking spaces in the first row and 11 parking spaces each in the next two rows. In each subsequent row there are 2 more parking spaces than in the previous row. What is the total number of parking spaces in the movie theater?
A.219
B.221
C.321
D.192
Answer: B.221
Explanation: First row 10, Second row 11 and then other 10 rows form an Arithmetic Progression with first term 11 and last term 29 and Avg is 20.
so 20*10+10+11=221
Answer is B
Question: When a certain shoe store reduces the price of its best-selling style of shoe by 20 percent, the weekly sales of this style increase by 20 percent. Which of the following best describes the resulting change in the store's weekly revenue from sales of this style of shoe?
A.Revenue decreases by 4%
B.Revenue decreases by 1%
C.There is no change in revenue
D.Revenue increases by 1%
Answer: A.Revenue decreases by 4%
Explanation: Old price = 10, old sales = 10 --> old revenue = 100;
New price = 8, new sales = 12 --> new revenue = 96.
Revenue decreased by 4%.
Answer: A.
Question: Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Four years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
A.Can't be determined
B.40
C.27
D.32
Answer: D.32
Explanation: Explanation:
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then, (5x+4)/(4x+4)=11/9
⇒ 45x + 36 = 44x + 44⇒ 9(5x +4 ) = 11(4x + 4)
⇒ 45x - 44x = 44 - 36
⇒ x = 8.
Anand's present age = 4x = 32 years.
Answer: D
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.5 per sq m?
A.675, Rs.3375
B.575, Rs.1350
C.1350, Rs.675
D.1450, Rs.775
Answer: A.675, Rs.3375
Explanation: Area = (l + b +2d) 2d
= (75 + 55 +2.5 * 2) 2*2.5 => 675
675 * 5 = Rs.3375
ANSWER:A
Question: In an exam, Amar scored 84 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
A.437.33
B.457.33
C.537.33
D.637.33
Answer: A.437.33
Explanation: Average mark scored by all the three boys =
[84/100 (800) + 36/100 (800) + 44/100 (800)] / 3 = 437.33
ANSWER:A
Question: Sujal covers a distance in 40 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 25%.
A.60 km/h
B.70 km/h
C.75 km/h
D.80 km/h
Answer: D.80 km/h
Explanation: Given Speed = 60 Kmph.
It means Sujal covered 60 km in 60 min (1 hour). So, in 40 min he will cover 40 km.
25% time reduced = 40 - 25% of 40 = 30 min.
Thus, Sujal needs to cover 40 km in 30 min (0.5 hour).
Speed * Time = Distance.
Speed * 0.5 = 40
Speed = 80 kmph.
ANSWER : OPTION D
Question: There are 800 military people in a division of the army. There is one Officer for every 15 soldiers in that division. Now the question is how many officers are in the division?
A.22
B.32
C.37
D.73
Answer: B.32
Explanation: B
32
24 soldiers + 1 officer makes a group of 25 people. Now number of such groups = 800/25 = 32.
Question: Last year a certain bond price with a face value of 5000 yielded 7% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
A.4063
B.5325
C.5385
D.6000
Answer: C.5385
Explanation: Interest = 0.07*5000 = 0.065*selling price --> selling price = 0.07*5000/0.065 --> selling price = ~5,385
Answer: C.
Question: A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 5 more days. How many days would it have taken the second carpenter to do the complete job working alone?
A.4.5
B.7.5
C.9.5
D.17.5
Answer: D.17.5
Explanation: A carpenter worked only 1 day on something that takes him 6 MORE days.
Means;
Carpenter finishes his work in 7 days.
Let his buddy finish the same task in x days.
Respective rates per day:
1/7 AND 1/x
To complete 1 work:
First guy worked for 5 days @ rate=1/7 per day.
Second one worked for 5 days @ rate=1/x per day
Expression:
Days*Rate=Work
5*1/7+5*1/x=1
5x+35=7x
2x=35
x=17.5 days.
Ans:D
Question: The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
A.38 cm2
B.85 cm2
C.65 cm2
D.40 cm2
Answer: D.40 cm2
Explanation: Area of a triangle = r * s
Where r is the inradius and s is the semi perimeter of the triangle.
Area of triangle = 2.5 * 32/2 = 40 cm2
Answer:D
Question: The distance from City A to City B is 180 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 120 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?
A.42
B.45
C.46
D.48
Answer: B.45
Explanation: The time it takes Cara to drive to City B is 180 / 30 = 6 hours.
Dan needs to take less than 4 hours for the trip.
Dan needs to exceed a constant speed of 180 / 4 = 45 miles per hour.
The answer is B.
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 3 different offices?
A.64
B.65
C.66
D.67
Answer: A.64
Explanation: Each of three employee can be assigned to either of offices, meaning that each has 2 choices --> 4*4*4=4^3=64.
Answer: A.
Question: Two years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
A.3
B.7
C.9
D.1
Answer: B.7
Explanation: Let present age of P and Q be 3x3x and 4x4x respectively.
Two years ago, P was half of Q's age
â‡’(3xâˆ’2)=1/2(4xâˆ’2)
â‡’6xâˆ’4=4xâˆ’2
â‡’2x=2
â‡’x=1
Total of their present ages
=3x+4x=7x=7Ã—1=7
B
Question: what is the remainder when 4.4!*5.5!*6.6!...........19*19! is divided by 64
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: (4*4*3*2*5*5!*6*5*.......*1*7*7!..........)/64=(int value) no remender there
ANSWER:A
Question: If a, b are integers and |a-b|=6, which of the following is the smallest possible value of ab?
A.-16
B.0
C.16
D.-9
Answer: D.-9
Explanation: a=3, b=-3. Hence, the answer is D.
Question: Two pipes P and Q can fill a cistern in 16 and 18minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How much longer will the cistern take to fill?
A.11 1/2
B.13 1/2
C.13 1/3
D.13 1/5
Answer: B.13 1/2
Explanation: 4/16 + x/18 = 1
x= 13 1/2.Answer: B
Question: Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?
A.35
B.36
C.37
D.39
Answer: A.35
Explanation: Let the present ages of X and Y be 5x and 6x years respectively.
Then, (5x + 7)/(6x + 7) = 6/7
7(5x + 7) = 6(6x + 7) => x = 7
X's present age = 5x = 35 years
ANSWER:A
Question: If the positive integer x is a multiple of 176 and the positive integer 222 is a multiple of 6, then xy must be a multiple of which of the following?
I. 7
II. 44
III. 41
A.II only
B.I and II only
C.I and III only
D.II and III only
Answer: A.II only
Explanation: x=176a
y=222b
xy=39072ab
where a,b are integers
Hence , xy will always be divisible by 8,12 .
A is the answer.
Question: How many times in a day, are the hands of a clock in straight line but opposite in direction?
A.20
B.22
C.24
D.32
Answer: B.22
Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only). So, in a day, the hands point in the opposite directions 22 times.Answer : B
Question: Express a speed of 36 kmph in meters per second?
A.10
B.22
C.88
D.299
Answer: A.10
Explanation: 36 * 5/18 = 10 mps
Answer: A
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
A.5.79
B.5.78
C.5.76
D.5.71
Answer: C.5.76
Explanation: M = 6
S = 1.2
DS = 7.2
US = 4.8
x/7.2 + x/4.8 = 1
x = 2.88
D = 2.88 * 2 = 5.76
Answer:C
Question: In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?
A.8*9!
B.8*8!
C.7*9!
D.9*8!
Answer: A.8*9!
Explanation: Solution: No. of ways in which 10 paper can arranged is 10! Ways.
When the best and the worst papers come together, regarding the two as one paper, we have only 9 papers.
These 9 papers can be arranged in 9! Ways.
And two papers can be arranged themselves in 2! Ways.
No. of arrangement when best and worst paper do not come together,
= 10!- 9!.2! = 9!(10-2) = 8.9!.
Answer A
Question: The average marks of Riya,Siya,Lisa was 80. The average marks of Siya,Lisa,Hena was 85. If marks of Hena be 84, what was the mark of Riya?
A.39
B.69
C.37
D.42
Answer: B.69
Explanation: Explanation:
R+S+L=80*3=240
S+L+H=85*3=255
Also, marks of Hena=84
marks of Riya = 240+84-255 = 69
Answer: Option B
Question: 200 + 8 × 4 = ?
A.232
B.202
C.420
D.209
Answer: A.232
Explanation: 200 + 8 × 4 = ?
or, ? = 200 + 32 = 232
Answer A
Question: 1/2, 1/4, 1/8, 1/16, 1/32, ....
In the sequence above each term after after the first one-half the previous term. If x is the FOURTH term of the sequence, then x satisfies which of the following inequalities?
A.0.0625
B.0.625
C.0.1
D.1
Answer: A.0.0625
Explanation: In the Sequence notice that the sequence is just the 1/(2^n) ...
so for 1st term=1/2^1=1/2
2nd term=1/(2^2)1/4, 3rd term=1/(2^3)=1/8 and so on...
Thus the 4th term will be 1/(2^4)=1/16 =0.0625
A
Question: Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 7 hours and 40 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?
A.17
B.19
C.21
D.23
Answer: D.23
Explanation: C = A + B
D = 3C = 3(A+B) = 4B
Then B = 3A and C = 4A
The combined rate of the four machines is A + 3A + 4A + 12A = 20A
Machine A can complete the work in 460 minutes, so its rate is 1/460 of the work per minute.
The combined rate is 20/460 = 1/23 so the work will be completed in 23 minutes.
The answer is D.
Question: Which one of the following is a prime number?
A.10
B.61
C.49
D.75
Answer: B.61
Explanation: 61 is divisible by 1, and itself. So, it is a prime number.
B
Question: The sum of three consecutive integers is 102. Find the lowest of the three?
A.18
B.67
C.98
D.33
Answer: D.33
Explanation: Three consecutive numbers can be taken as (P - 1), P, (P + 1).
So, (P - 1) + P + (P + 1) = 102
3P = 102 => P = 34.
The lowest of the three
= (P - 1)
= 34 - 1 = 33.
Answer: D
Question: Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "CAT"?
A.45
B.54
C.63
D.72
Answer: D.72
Explanation: "CAT" = (3+1+20)*3=72.
The answer is D.
Question: What is the rate percent when the simple interest on Rs.800 amount to Rs.144 in 4 Years?
A.5%
B.4%
C.3%
D.9%
Answer: B.4%
Explanation: 144 = (800*4*R)/100
R = 4%
Answer: B
Question: A can finish a work in 12 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
A.6
B.5
C.4
D.7
Answer: C.4
Explanation: B's 10 day's work = ( 1 x 10 ) = 2 .
15 3
Remaining work = ( 1 - 2 ) = 1 .
3 3
Now, 1 work is done by A in 1 day.
12
Therefore 1 work is done by A in ( 12 x 1 ) = 4 days.
C
Question: If a and b are both even numbers, which of the following is an even number?
A.a + b+b
B.a + b + 1
C.ab+1
D.ab + 3
Answer: A.a + b+b
Explanation: Sol.
Sum of two even numbers is always even.
Answer A
Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
A.1961
B.1981
C.1991
D.1971
Answer: B.1981
Explanation: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.
Answer B
Question: There are seven pairs of black shoes and 5 pairs of white shoes .Tey all are put into a box and shoes are drawn at a time.To ensure that at leat one pair of black shoes are taken out,what is the number of shoes required to be drawn out.
A.12
B.13
C.7
D.18
Answer: D.18
Explanation: White shoes: 5*2=10
Black shoes: 7*2=14
Total shoes: 14+10=24
Now, for the worst case,
1st- All the white shoes are taken out, so 10 shoes are drawn.
2nd- All the one sided (assume only left side) black shoes are drawn. So, another 7 shoes are drawn.
So, in the box left shoes are= 24-17=7
Those 7 shoes are right sided black shoes.
So on the 18th draw we'll get the 1st right footed black shoe, i.e. the 1st pair of black shoe.
So, the no. of shoes required to be drawn out is: 18
ANSWER:D
Question: How many numbers between 1000 and 5000 are exactly divisible by 225?
A.16
B.18
C.19
D.12
Answer: B.18
Explanation: Explanation: First multiple of 225 after 1000 is 1125 (225 × 5 ) and last multiple of 225 before 5000 is 4950 (225 × 22)
Total number are l−a/d+1=4950−1125/225+1=18
Correct Option: B
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
A.4 3/3 km
B.4 3/6 km
C.4 3/8 km
D.4 9/8 km
Answer: C.4 3/8 km
Explanation: RS = 5 ¾ - 4 ½ = 1 ¼
T = 3 ½ h.
D = 5/4 * 7/2 = 35/8 = 4 3/8 km
Answer: C
Question: The radius of a cone is 8 m, height 6 m. Find the slant height?
A.5
B.10
C.15
D.20
Answer: B.10
Explanation: Cone slant height (l) = √r(power2)+h(power2)
= √64+36 = 10 m.
Answer is B.
Question: In a box, there are 3 blue, 7 white and 4 yellow bulbs. One bulb is picked up randomly. What is the probability that it is neither white nor blue?
A.4/14
B.5/16
C.8/32
D.2/32
Answer: A.4/14
Explanation: Total number of bulbs = (3 + 7 + 4) = 14.
Let E = event that the bulb drawn is neither white nor blue = event that the bulb drawn is yellow.
Therefore, P(E)=4/14
ANSWER:A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
A.19
B.27
C.29
D.47
Answer: D.47
Explanation: Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +350)/ 36 * 5/18
= 47 min.
Answer:D
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is?
A.16
B.18
C.17
D.12
Answer: D.12
Explanation: Suppose he has 100 items. Let C.P. of each item be Re. 1.
Total cost = Rs. 100. Number of items left after theft = 80.
S.P. of each item = Rs. 1.10
Total sale = 1.10 * 80 = Rs. 88
Hence, loss % = 12/100 * 100 = 12%
Answer: D
Question: John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 45 miles per hour, what is v in miles per hour?
A.30
B.40
C.50
D.55
Answer: B.40
Explanation: HiBunuel
THe question seems incorrect. it should not be 80% at the speed of 80. However if it's 20% at the speed of 80, Answer comes out 55.
The question is correct. Here's the explanation:
Let distance be D. We can find the total timeequate it, which comes as:
0.8D / 80 + 0.2D / v = D / 40 => v = 40 (Option B).
Question: Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 9 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?
A.8 mph
B.5.25 mph
C.3.5 mph
D.5 mph
Answer: D.5 mph
Explanation: (1 mph +9 mph)/2 = 5 mph
Correct option is: D
Question: On a business trip, 30 percent of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70 percent will be given accommodations at Hotel ABC. However, 50 percent of the sales representatives prefer to stay at Hotel XYZ and 50 percent prefer to stay at Hotel ABC. What is the highest possible number of sales representatives NOT given accommodations at the hotel they prefer?
A.32
B.36
C.42
D.48
Answer: D.48
Explanation: 18 people stay in XYZ and 42 people stay in ABC.
30 people want to stay in XYZ and 30 people want to stay in ABC.
Let's put all 30 people who prefer XYZ in hotel ABC.
Then 18 people who prefer ABC will stay in XYZ.
The highest possible number who are not given their preference is 30+18=48.
The answer is D.
Question: In a certain province in America there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
A.30
B.105
C.330
D.14!
Answer: B.105
Explanation: Method-1:
America has Total Cities = 15 and each city should be connected with every other city
So Total Roads required to connect 1st City with other 14 cities = 14
Now 1st City is connected with all other cities so,
So Total Roads required to connect 2nd City with 13 cities (Other than 1st) = 13
Now 1st and 2nd Cities are connected with all other cities so,
So Total Roads required to connect 3rd City with 12 cities (Other than 1st, and 2nd) = 12
......and so on...
Total Roads required = 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 105=B
Question: A certain tax rate is $65 per $100.00. What is the rate, expressed as a percent?
A.82%
B.6.5%
C.0.82%
D.65%
Answer: D.65%
Explanation: Here in question it is asking $65 is what percent of $ 100.Suppose $ 65 is x% of 100 means
100* (x/100) = 65
Hence x = 65
So answer is D
Question: in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 10 people all together .how many people can sit in a bus?
A.52
B.49
C.91
D.88
Answer: C.91
Explanation: Right Side =15 seat
Left Side =15-3 (3 few seat in right side)= 12 seat
Total= 15+12= 27
People can seat in 27 seat= 27*3=81
People can seat in Last Seat = 10
Total People can seat= 81+10=91
ANSWER:C
Question: Carl can wash all the windows of his house in 6 hours. His wife Maggie can wash all the windows in 6 hours. How many hours will it take for both of them working together to wash all the windows?
A.2
B.2 1/4
C.3
D.4 1/2
Answer: C.3
Explanation: Work hrs=AB/(A+B)= 36/12 =3
Answer is C