MU-NLPC/Calc-aqua_rat huggingface dataset:
Can C and can В are both right circular cylinders. The radius of can C is twice the radius of can B, while the height of can C is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can C with the same brand of gasoline?	Select the correct option.
A) $1  B) $2  C) $4  D) $8  E) $16

Solution: Let x be the radius of b and 2h be the height of B. Therefore, radius of C = 2x and height = h   Vol of b = 3.14*x^2*2h   Vol of a = 3.14*4x^2*h   cost to fill half of B = $4 --> cost to fill full B = $8   --> 3.14*x^2*2h = 8 --> 3.14*x^2*h = 4 --> 4*(3.14*x^2*h) = $16   Ans $16
Answer: E
The average height of 35 boys in a class was calculated as 184cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?
Choose the most appropriate option
A) 187.89 cm
B) 182.29 cm
C) 123.98 cm
D) 149.98 cm
E) 146.89 cm

Solution: Calculated average height of 35 boys = 184 cm.   Wrong total height of 35 boys = 184 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 183 cm - (166 cm + 106 cm)/35   = 184 cm - 60 /35 cm   = 184 cm - 1.71 cm = 182.29 cm.   Answer: 182.29 cm
Answer: B
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements R.  Choose the correct answer.
A) a) 48 B) b) R=144 C) c) R=240 D) d) R=288 E) e) 120

Solution: One specific boy is seated to either of end seat, lets call him b1   One specific girl is seated in the middle, lets call her g1   Note the question says *specific girl* and *specific boy*, so we do not consider for example the other girl , g2, being seated on seat #4. Same goes with the specific boy, b1.   b1 can be seated 2 different seats : 2!   g1 is seated on the seat #4, fixed (no other alternative) : 1   the remaining 5 seats can be filled with the remaining people b2,b3,g2,w1,w2: 5!   2! x 1 x 5! = 240   Answer c) R=240
Answer: C
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?	Choose the correct choice from the following answers.
A) 1000	B) 2881	C) 2771	D) 1111	E) 7121

Solution: 90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   1000nswer: 1000
Answer: A
What is the greatest prime factor of 42^2+75^2+6300 Options
A) 3 B) 7 C) 11 D) 13 E) 79

Solution: 42^2 = (50-8)(50-8) = 1764   75^2 = (100-25)(100-25) = 5625   1764+5625+6300= 
1764+5625+6300 = 13_689
13689   this number is divisible by 3 and 9   divide by 9 and get 1521, the sum of this number is again a multiple of 9, thus we can divide it one more time by 9. we get 169, and 169 is 13^2. thus the answer is 13.   ANSWER:13
Answer: D
If 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 180 units?	Choose the correct choice from the following options:
A) 50 hours
B) 40 hours
C) 22.5 hours
D) 12 hours
E) 8 hours

Solution: Here, we're told that 5 machines can produce 20 units in 10 hours....   That means that EACH machine WORKS for 10 hours apiece. Since there are 5 machines (and we're meant to assume that each machine does the same amount of work), then the 5 machines equally created the 20 units.   20 units/5 machines = 4 units are made by each machine every 10 hours   Now that we know how long it takes each machine to make 4 units, we can break THIS down further if we choose to...   10 hours/4 units = 2.5 hours per unit when 1 machine is working.   The prompt asks us how long would it take 20 machines to produce 180 units.   If 20 machines each work for 2.5 hours, then we'll have 20 units. Since 180 units is '9 times' 20, we need '9 times' more TIME.   (2.5 hours)(9 times) = 22.5 hours   Final Answer:   [Reveal]Spoiler:   22.5 hours
Answer: C
The ratio of males to females in a class is 2:3. The career preferences of the students in the class are represented in a circle graph. If the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one-fourth of the males and three-fourths of the females in the class?
Answers:
A) 186
B) 192
C) 198
D) 204
E) 210

Solution: 1/4*2/5 + 3/4*3/5 = 2/20 + 9/20 = 11/20   The number of degrees is  11/20 * 360= 
 11/20 * 360 = 198
198 degrees   The answer is 198.
Answer: C
When a number is divided by 6 &then multiply by 12 the answer is 18 what is the no.?	Choose the correct choice.
A) 4.5	B) 5	C) 5.6	D) 5.7	E) 9

Solution: if $x$ is the number, x/6 * 12 = 18   => 2x = 18   => x = 9   9
Answer: E
A cube has four of its faces painted half red and half white. The other faces are completely painted white. What is the ratio between the red painted areas and the white painted areas of the cube?
Pick one
A) 1:4  B) 1:3  C) 1:2  D) 2:5  E) 2:11

Solution: Let x be the area of each face of the cube.   The area painted red is 4(x/2) = 2x   The area painted white is 4(x/2) + 2x = 4x   The ratio of red to white is 2x:4x which is 1:2.   The answer is 1:2.
Answer: C
If the range W of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?	Answers.
A) 0	B) 2	C) 12	D) 13	E) 15

Solution: The range W of a set is the difference between the largest and smallest elements of a set.   Without x, the difference between the largest and smallest elements of a set is  14-3= 
 14-3 = 11
11<12, which means that in order 12 to be the range of the set x must be either the smallest element so that 14-x=12 ---> x=2 OR x must the largest element so that x-3=12 --> x=15.   The the difference between the greatest possible value of x and least possible value of x is 15-2= 
15-2 = 13
13.   Answer: 13.
Answer: D
A man can row 4 kmph is still water. If the river is running at 2 kmph it takes 90 min to row to a place and back. How far is the place Choose one.
A) 2 km  B) 4 km  C) 5 km  D) 2.25 km  E) None of these

Solution: Explanation :   Speed in still water = 4 kmph   Speed of the stream = 2 kmph   Speed upstream = (4-2)= 
(4-2) = 2
2 kmph   Speed downstream= (4+2)= 
(4+2) = 6
6 kmph   Total time= 90 minutes = 90⁄60 hour = 3⁄2 hour   Let L be the distance. Then   (L/6) + (L/2) = 32   => L + 3L = 9   => 4L = 9   => L = 9⁄4= 2.25 km. Answer : Option 2.25 km
Answer: D
The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:  Select.
A) × 108 miles  B) × 1010 miles  C) × 10-10 miles  D) × 1012 miles  E) × 10-12 miles

Solution: Solution:   The distance of the light travels in 100 years is:   5,870,000,000,000 × 100 miles.   = 587,000,000,000,000 miles.   = 587 × 1012 miles.   Answer : × 1012 miles
Answer: D
Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he
take along with him? Pick:	A) 4000	B) 3000	C) 4500	D) 5000	E) 5500

Solution: Let the money he took for shopping be m.   Money he spent = 30 % of m   = 30/100 × m   = 3/10 m   Money left with him = m – 3/10 m = (10m – 3m)/10 = 7m/10   But money left with him = $ 2100   Therefore 7m/10 = $ 2100   m = $ 2100× 10/7   m = $ 21000/7= 
21000/7 = 3_000
$ 3000   Therefore, the money he took for shopping is $ 3000.   3000)
Answer: B
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 100, the runs scored by A are?  Choose the correct choice from the following answers
A) 11
B) 18
C) 13
D) 16
E) 12

Solution: A:B = 2:3   B:C = 2:5   A:B:C = 4:6:15   4/25 * 100= 
4/25 * 100 = 16
16   Answer:16
Answer: D
A single discount equivalent to the discount series of 20%, 10% and 5% is?  Choose the correct choice from the following answers.
A) 31.7 B) 31.21 C) 31.6 D) 31.37 E) 31.25

Solution: 100*(80/100)*(90/100)*(95/100)= 
100*(80/100)*(90/100)*(95/100) = 342/5 = around 68.4
68.4   100 - 68.4= 
100 - 68.4 = 31.6
31.6   Answer:31.6
Answer: C
A number exceeds by 20 from its 3/8 part. Then the number is? Choose the correct choice from the following options:
A) A)32
B) B)35
C) C)39
D) D)40
E) E)45

Solution: x – 3/8 x = 20   x = 32   32NSWER:32
Answer: A
A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?  Options:
A) 24  B) 18  C) 20  D) 30  E) 15

Solution: 2c = Â¼ + 1/6 â€“ 1/3 = 1/12   c = 1/24 => 24 days   24NSWER 24
Answer: A
Out of 4 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is	Choices:
A) 1/6
B) 10/21
C) 20/21
D) 11/16
E) 2/21

Solution: The number of exhaustive events = 4C2 =6.   Let E be event of the 2 fruits being rotten. The number of favourable cases are   2C2 = 1 way.   Required probability = 1/6   1/6NSWER:1/6
Answer: A
Of 15 applicants for a job, 7 had at least 4 years' experience, 9 had degrees, and 1 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree? Choose the correct choice from the following choices:
A) 14  B) 13  C) 9  D) 7  E) 2

Solution: 15 - 1= 
15 - 1 = 14
14   14 - 7 - 9= -2   Then 2 are in the intersection between 4 years experience and degree.   Answer : 2
Answer: E
0.002 x 0.5 = ?
Choose the correct option.
A) 0.0001 B) 1.0 C) 0.1 D) 0.01 E) 0.001

Solution: 2 x 5 = 10.   Sum of decimal places = 4   0.002 x 0.5 = 0.001   Answer is 0.001.
Answer: E
A number is four less than two times the other number. If their difference is 21, what is the greater number?  Choose the correct choice from the following options: A) 50 B) 46 C) 31 D) 21 E) 15

Solution: A = one number   46 = other number   A = -4 + 246   A - 46 = 21   solve for A by adding 46 to each side   A = 46 + 21   Substitute (46 + 21) for A in A = -4 + 246   (46 + 21) = -4 + 246   add -46 to each side   21 = -4 + 46   add 4 to each side   25 = 46   Since A = 46 + 21 , A = 25 + 21 , A = 46   ANSWER:46
Answer: B
How many positive integers less than 600 can be formed using the numbers 1, 2, 3 and 5 for the digits?
Choose one:	A) 48	B) 52	C) 66	D) 68	E) 84

Solution: Notice that we can find the number of 2 and 3 digit numbers by just assuming the first digit can also be zero:   0 1 1   1 2 2   2 3 3   3 5 5   5 5 5   Number of possibilities = 5*4*4= 
5*4*4 = 80
80.   Then, just add up the number of 1 digits numbers= 4, so total is  80+4= 
 80+4 = 84
84.   Answer:84
Answer: E
A Man travelled a distance of 48 km in 7 hours. He travelled partly on foot at 4 km/hr and partly on
bicycle at 9 km/hr. What is the distance travelled on foot?
Choose the correct choice from the following answers
A) 16 km  B) 20 km  C) 12 km  D) 10 km  E) None of these

Solution: Explanation:   Let the time in which he travelled on foot = x hour   Time for travelling on bicycle = (9 - x) hr   Distance = Speed * Time, and Total distance = 48 km   So,   4x + 7(9-x) = 48   => 3x = 15   => x = 5   So distance traveled on foot = 4(5) = 20 km   Answer: Option 20 km
Answer: B
Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $8.00 each, what was Company C’s gross profit?
Pick
A) $2,250	B) $2,500	C) $2,100	D) $2,150	E) $2,700

Solution: $2,100ost of 500 trucks: (100 * 5 ) + (400 * 3.5) = 500 + 1400= 
500 + 1400 = 1_900
$ 1900   Revenue :  500 * 8= 
 500 * 8 = 4_000
$4000   Profit:   4000 - 1900= 
  4000 - 1900 = 2_100
$ 2100   Option $2,100 is correct
Answer: C
A boat covers a certain distance downstream in 1 hour, while it comes back in 1.30 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?	Choose the correct choice from the following answers
A) 10  B) 13  C) 11  D) 08  E) 15

Solution: Let the speed of the water in still water =x   Given that speed of the stream = 3 kmph   Speed downstream =(x+3) kmph   Speed upstream =(x−3) kmph   He travels a certain distance downstream in 1 hour and come back in 1 1⁄2 hour.   i.e., distance travelled downstream in 1 hour = distance travelled upstream in 1 1⁄2 hour   Since distance = speed × time, we have   (x+3)×1=(x−3)3/2   ⇒2(x+3)=3(x−3)   ⇒2x+6=3x−9   ⇒x=6+9= 
6+9 = 15
15 kmph   Answer is 15.
Answer: E
Steve traveled the first 2 hours of his journey at 30 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey? Pick.
A) 60 mph	B) 56.67 mph	C) 53.33 mph	D) 64 mph	E) 66.67 mph

Solution: Distance traveled in 2 hours = 2 * 30= 
2 * 30 = 60
60 m   Distance traveled in 3 hours= 3 * 80= 
3 * 80 = 240
240m   Total distance covered= 240 + 60= 
240 + 60 = 300
300m   Total time= 2 + 3= 
2 + 3 = 5
5 h   Hence avg speed= total distance covered / total time taken   = 300/5= 
300/5 = 60
60 mph   60 mphnswer: 60 mph
Answer: A
Find the no.of ways of arranging the boy and 5 guests at a circular table so that the boy always sits in a particular seat?	Pick.
A) 7!  B) 5!  C) 9!  D) 10!  E) 11!

Solution: Ans.(B)   Sol. Total number of persons = 6 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 5 places in 5P5 = 5! Ways ... The number of required arrangements = 5! x 1= 5! = 5! ways
Answer: B
Use distributive property to solve the problem below:
Maria bought 10 notebooks and 5 pens costing 2 dollars each.How much did Maria pay?	Choose the correct choice from the following choices
A) 30 dollars
B) 40 dollars
C) 50 dollars
D) 60 dollars
E) 70 dollars

Solution: Solution   2 × (10 + 5) = 2 × 10 + 2 × 5 = 20 + 10= 
20 + 10 = 30
30 dollars   30 dollarsnswer 30 dollars
Answer: A
A person X working alone can complete a work in 5 days. A person Y completes the same amount of work in 20 days, and a person Z when working alone can complete the same amount of work in 30 days. All three people work together for 2 days but then X and Y leave. How many more days does Z need to complete the work after X and Y leave?
Choose the correct choice from the following options:
A) 13
B) 14
C) 15
D) 16
E) 17

Solution: The fraction of work completed in two days is 2/5 + 2/20 + 2/30 = 17/30   The fraction of work remaining is 1 - 17/30 = 13/30   The number of days required for Z is 13 days.   The answer is 13.
Answer: A
We can rent a canoe for x cents per minute for the first 30 minutes and then y cents for each additional minute. How much will it cost to rent a canoe for z minutes, where z>30?  Options:
A) 30y+(z-30)x	B) 30x + zy	C) 30x+(z-30)y	D) 30x + 30y	E) x + (z-30)y

Solution: The first 30 minutes cost 30x.   The next (z-30) minutes cost (z-30)y.   The total cost is 30x+(z-30)y.   The answer is 30x+(z-30)y.
Answer: C
In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 10 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Choose the correct choice:  A) 30  B) 45  C) 60  D) 75  E) 120

Solution: Whole trip = distance by foot + distance by bus + distance by car   x = 1/5x + 2/3x + 10   x - 13/15x = 10   2/15x = 10=> so x = (15/2)*10= 
(15/2)*10 = 75
75Km   Answer 75
Answer: D
If 1 tic equals 5 tacs and 2 tacs equal 8 tocs, what is the ratio of one tic to one toc?	Choose the correct choice:
A) 15/2  B) 20/1  C) 5/6  D) 3/10  E) 1/15

Solution: Tic=5*Tac and 2*Tac=8*Toc;   2*Tic=10*Tac and 10*Tac=40*Toc --> 2*Tic=40*Toc --> Tic/Toc=40/2= 
40/2 = 20
20/1.   Answer: 20/1.
Answer: B
Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 44 days. On which day of the week in February was the task completed? Pick one:
A) Monday  B) Tuesday  C) Wednesday  D) Thursday  E) Friday

Solution: This type of story problem is essentially just about a repeating pattern and a 'remainder.'   We're told that Harriet planned to complete a certain task on WEDNESDAY, January 1, but because of illness the completion date was postponed 44 DAYS. We're asked on what day of the week the task was actually completed on.   Since the task was supposed to be completed on a Wednesday....   A 1 day postponement would be Thursday   A 2 day postponement would be Friday   A 3 day postponement would be Saturday   A 4 day postponement would be Sunday   A 5 day postponement would be Monday   A 6 day postponement would be Tuesday   A 7 day postponement would be Wednesday   A 8 day postponement would be Thursday   Etc.   So this question is ultimately asking how many 'groups of 7' are there, and how many 'leftover days' are there, when you postpone 44 days.   44/7 = 6 remainder 2   This means that there are 6 full weeks AND 2 extra days after a Wednesday....Thus, the task was completed on a Friday.   Friday
Answer: E
On Saturday morning, John will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.3, what is the probability that Malachi will return home at the end of the day on the following Monday?
Choices:
A) 0.008	B) 0.125	C) 0.147	D) 0.512	E) 0.64

Solution: Re-phrasing the question:   What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain   Probability of rain = 0.3   Therefore, probability of no rain = 0.7   0.7*0.7*0.3= 
0.7*0.7*0.3 = 0.147
0.147   Hence 0.147
Answer: C
A motor cyclist participant of a race says "We drove with the speed of 10 miles an hour one way, but while returning because of less traffic we drove on the same route with 18 miles per hour." What was their average speed in the whole journey?  Choose the most appropriate option.
A) 10 miles/hour B) 12 miles/hour C) 11 miles/hour D) 13 miles/hour E) 12.9 miles/hour

Solution: 2xy/x+y=12.9 miles/hour   ANSW12.9 miles/hourR:12.9 miles/hour
Answer: E
How much 60% of 50 is greater than 34% of 30?	Choose the correct choice from the following choices.
A) 18 B) 19.8 C) 11 D) 17 E) 12

Solution: (60/100) * 50 – (34/100) * 30   30 - 10.2= 
30 - 10.2 = 19.8
19.8   Answer: 19.8
Answer: B
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choose the correct choice from the following answers:  A) 6 ½ sec  B) 9 ½ sec  C) 3 ½ sec  D) 7 ½ sec  E) 2 ½ sec

Solution: \70 + 50= 
70 + 50 = 120
120 * 5/18= 100/3 mps   7 ½ sec = 150 + 100= 
150 + 100 = 250
250 m   T= 250 * 3/100 = 15/2 = 7 ½ sec   Answer:7 ½ sec
Answer: D
A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?	Choose the correct choice
A) 40 sec	B) 50 sec	C) 88 sec	D) 19 sec	E) 10 sec

Solution: Speed = 36 * 5/18= 
36 * 5/18 = 10
10 m/sec   Total distance covered= 360 + 140= 
360 + 140 = 500
500 m   Required time= 500 * 1/10= 
500 * 1/10 = 50
50 sec   Answer: 50 sec
Answer: B
In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 450 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total? Options:
A) 515.  B) 678.  C) 618.  D) 644.  E) 666.

Solution: Answer is B :678   Solution : Total number of students studying both are 450 + 226 - 134= 
450 + 226 - 134 = 542
542 (Subtracting the 134 since they were included in the both the other numbers already).   So 80% of total is 542, so 100% is approx. 678.
Answer: B
Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat? Choose the correct choice from the following answers:	A) 5!	B) 8!	C) 9!	D) 10!	E) 12!

Solution: Ans.(B)   Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Answer: B
How many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 6?
Choose the correct answer:
A) 5  B) 6  C) 7  D) 8  E) 9

Solution: 6   To be divisible by six the sum of the digits must be divisible by 3 and be even. Use same logic as finding all divisible by three but strike all odd answers. Highest number becomes 72 and we select from the divisible by 3 answers the even numbers.   72 -yes   54 -yes   42 - yes   36 - yes   24 - yes   12 - yes   Correct answer is 6.
Answer: B
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 7200 interest. The principal amount borrowed by him was. Pick:
A) Rs 14000  B) Rs 15000  C) Rs 16000  D) Rs 20000  E) None of these

Solution: Explanation:   S.I.=Pâˆ—Râˆ—T/100   =>P=S.I.âˆ—100/Râˆ—T   =>P=7200âˆ—100/12âˆ—3=Rs 20000   Option Rs 20000
Answer: D
What approximate value should come in place of the question mark (?) in each of the following equations ?
(9.009)1/2 + (16.0001)1/4 = (?)% of 50.5  Choose the correct choice from the following options:
A) 7	B) 8	C) 5	D) 10	E) 11

Solution: Explanation :   92 + 162 = (?)% of (50.5) 3 + 2 = (2)% of (50.5) 5 = 10% of (50.5)   Answer : Option 10
Answer: D
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?	Choose one
A) Rs.4078 B) Rs.4000 C) Rs.4029 D) Rs.4027 E) Rs.4020

Solution: Let P, Q and R represent their respective monthly incomes. Then, we have:   P + Q = (5050 * 2)= 
(5050 * 2) = 10_100
10100 --- (i)   Q + R= (6250 * 2)= 
(6250 * 2) = 12_500
12500 --- (ii)   P + R= (5200 * 2)= 
(5200 * 2) = 10_400
10400 --- (iii)   Adding (i), (ii) and (iii), we get:   2(P + Q + R)= 33000 = P + Q + R = 16500 --- (iv)   Subtracting (ii) from (iv), we get, P = 4000.   P's monthly income = Rs.4000.   Answer: Rs.4000
Answer: B
At a dinner party, 6 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?	Choose the most appropriate option.
A) 1) 5
B) 2) 10
C) 3) 24
D) 4) 32
E) 5) 120

Solution: for number of distinct arrangements of 'n' items around a circular table, we get the arrangements by way of (n-1)!   in this case, there are 6 guests, so number of distinct arrangements = 5! = 120   Answer : 5) 120
Answer: E
How many 7's are there in the following series which are preceded by 6 which is not preceded by 8 ?
8 7 6 7 8 6 7 5 6 7 9 7 6 1 5 7 7 6 8 8 6 9 7 6 8 7
Choose the correct option:
A) 2  B) 1  C) 5  D) 3  E) None

Solution: total 2 are there   2NSWER:2
Answer: A
Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems. Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly, still he got less than 60% problems right. How many more questions he would have to answer more to get passed
Select:
A) 5
B) 6
C) 7
D) 8
E) 9

Solution: Explanation:   Number of questions attempted correctly = (70% of 10 + 40% of 30 + 60% of 35)   = 7 + 12 + 21= 
7 + 12 + 21 = 40
40.   Questions to be answered correctly for 60%= 60% of total quations   = 60 % of 75 = 45.   He would have to answer 45 - 40= 
45 - 40 = 5
5   5nswer: Option 5
Answer: A
Ram professes to sell his goods at the cost price but he made use of 950 grms instead of a kg, what is the gain percent?
A. 11%
Pick one.
A) 11 1/9%	B) 5.26%	C) 11 9/9%	D) 11 5/9%	E) 11 1/5%

Solution: 950 --- 50   100 --- ? => 5.26%   Answer:5.26%
Answer: B