MU-NLPC/Calc-aqua_rat huggingface dataset:
There are 10 members from that a total of 6 men & 4 ladies a committee of 3 is to be formed. If Mrs. A is not willing to join the committee in which Mr. B is a member, whereas Mr.B is willing to join the committee only if Mrs C is included, how many such committee are possible?  Choose the correct choice from the following options
A) 87  B) 89  C) 90  D) 91  E) 95

Solution: We first count the number of committee in which   (i). Mr. Y is a member   (ii). the ones in which he is not   case (i): As Mr. Y agrees to be in committee only where Mrs. Z is a member.   Now we are left with (6-1) men and (4-2) ladies (Mrs. X is not willing to join).   We can choose 1 more in5+\inline {\color{Blue} 2C_{1}}=7 ways.   case (ii): If Mr. Y is not a member then we left with (6+4-1) people.   we can select 3 from 9 in \inline {\color{Blue} 9C_{3}}=84 ways.   Thus, total number of ways is  7+84= 
 7+84 = 91
91 ways.   91
Answer: D
A and B work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that A and B will both be chosen? Choose the correct choice from the following choices
A) A)1/3
B) B)1/4
C) C)1/15
D) D)3/8
E) E)2/3

Solution: Total number of people = 6   Probability of selecting A first and then B is 1/6∗1/5=1/30   Probability of selecting B first and then A is 1/6∗1/5=1/30   Therefore probability of selecting A and B for the review is 1/30+1/30=1/15   Answer is 1/15
Answer: C
If x and y are positive odd integers, then which of the following must also be an odd integer?
I. x^(y+2)
II. x(y+2)
III. (y+1)^(x-1) + 1 Select:
A) I only
B) II only
C) All options are applicable
D) III only
E) II,III only

Solution: let x= 5, y= 3   I. 5^5 = > Odd   II. 5*5 = > Odd   III. 4^4 +1 = > Odd   Answer : All options are applicable
Answer: C
A certain sum earns simple interest of Rs. 800 in 2 years at a certain rate of interest. If the same sum earns compound interest of Rs. 845 in the same period of 2 years, What must be the rate of interest?  Choose the correct choice from the following.
A) 10% p.a. B) 90% p.a. C) 30% p.a. D) 19% p.a. E) 530% p.a.

Solution: Explanation:   Given: 800 = (P * R * 2) / 100   S.I. For 1 year = Rs. 400   Thus, (840 – 800) = S.I. on Rs. 400 for 1 year   40 = (400 * R * 1) / 100   R = 10% p.a.   10% p.a.NSWER: 10% p.a.
Answer: A
Steve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?	Choose the correct answer:  A) 60 mph  B) 72 mph  C) 53.33 mph  D) 64 mph  E) 66.67 mph

Solution: Distance traveled in 2 hours = 2 * 60= 
2 * 60 = 120
120 m   Distance traveled in 3 hours= 3 * 80= 
3 * 80 = 240
240m   Total distance covered= 240 + 120= 
240 + 120 = 360
360m   Total time= 2 + 3= 
2 + 3 = 5
5 h   Hence avg speed= total distance covered / total time taken   = 360/5= 
360/5 = 72
72mph   Answer: 72 mph
Answer: B
There are 16 stations between Mumbai and Chennai. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Pick.
A) 316  B) 306  C) 326  D) 336  E) 356

Solution: The total number of stations = 18   From 18 stations we have to choose any two stations and the direction of travel (i.e., Mumbai to Chennai is different from Chennai to Mumbai) in 18P2 ways.   18P2= 18 * 17= 
18 * 17 = 306
306   ANSWER: 306
Answer: B
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph? Choose the correct choice from the following choices.
A) 22 sec B) 27 sec C) 25 sec D) 24 sec E) 11 sec

Solution: Explanation:   D = 100 + 150= 
100 + 150 = 250
250   S= 36 * 5/18= 
36 * 5/18 = 10
10 mps   T= 250/10= 
250/10 = 25
25 sec   Answer: Option 25 sec
Answer: C
Without any stoppages a person travels a certain distance at an average speed of 40 km/hr and with stoppages he covers the same distance at an average of 20 km/hr. How many minutes per hour does he stop? Options: A) 15 B) 20 C) 30 D) 45 E) None of above

Solution: speed = 40km and with stoppages it covers only 20 kmso to travel 20 km at original speed i.e. 20 = 40*t, so t = 1/2 hour = 30minutes Answer : 30
Answer: C
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 6?  Choose the correct choice from the following choices.
A) 82,650  B) 64,850  C) 64,749  D) 49,700  E) 56,720

Solution: Find the number , Upon Sum of 3 Digits of a number Gives a Reminder 2 when it is Divided by 6   Seeing the Options 82,650fter Dividing an Finding the Reminder of 2   My 82,650nswer was 82,650
Answer: A
David can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. What could be the number of cows David has in his herd? Options.
A) 180
B) 120
C) 155
D) 336
E) 456

Solution: On first look D, C,E are not divisible either by 5 or 6 - ruled out.   A,B divisible by both 5,6, but 180 is divisible by 9.   Answer : 120
Answer: B
Rajeev' age after 15 years will be 5 times his age 5 years back . What is the present age of Rajeev ?  Answers:
A) 8 years  B) 10 years  C) 12 years  D) 14 years  E) 16 years

Solution: Explanation :   Dol. Let Rajeev's presen age be xx years , Then   Rajeev's ae after 15 years = (x+15)(x+15)years   Rajeev's age 5 years back = (xâˆ’5)(x-5) years   âˆ´âˆ´ x+15=5(xâˆ’5)x+15=5(x-5)   â‡” x+15=5xâˆ’25â‡” x+15=5x-25   â‡” 4x=40â‡” 4x=40   â‡” x=10â‡” x=10   Hence , Rajeev's present age = 10 years.   ANSWER IS 10 years
Answer: B
After decreasing 24% in the price of an article costs Rs.1216. Find the actual cost of an article?
Select the correct option:
A) 1667  B) 6789  C) 1200  D) 1600  E) 1421

Solution: CP* (76/100)   = 1216   CP= 16 * 100 => CP   = 1600   Answer: 1600
Answer: D
A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the cube to the surface of the sphere?  Select the correct option:
A) 10(√3-1)	B) 5	C) 10(√2-1)	D) 5(√3-1)	E) 5(√2-1)

Solution: As sphere is inscribed in cube then   =>the edge of the cube equals to the diameter of a sphere --> Diameter=10   Diagonal of a cube equals to Diagonal=square_root(10^2+10^2+10^2)=10√3.   half of 5(√3-1)iagonal-5(√3-1)iameter is gap between the vertex of a cube and the surface of the sphere = (10√3-10)/2   =5(√3-1)   ANSWER:5(√3-1)
Answer: D
In how many ways can a committee consisting of three boys and four girls be formed from a group of six boys and seven girls? Select
A) ⁶C₄ ⁷C₃	B) (⁷C₄)(⁶C₃)	C) ⁶C₃ ⁷C₅	D) ⁷C₅ ⁶C₄	E) ⁶C₃ ⁷C₃

Solution: The group contain six boys and seven girls   Three boys can be selected from six boys in ⁶C₃ ways.   Four girls can be selected from seven girls in ⁷C₄ ways.   Total number of ways = (⁷C₄)(⁶C₃)   (⁷C₄)(⁶C₃)
Answer: B
A canteen requires 13 dozen bananas per day. How
many bananas will it require for 9 weeks?
Choose the correct answer
A) 728  B) 9828  C) 1404  D) 9882  E) None

Solution: Requirement of bananas for 1 day in the canteen   = 13 dozens   ∴ Requirement of bananas for 9 weeks i.e. 63 days   = 63 × 13 dozens   = 63 × 13 × 12 = 9828.   Answer 9882
Answer: D
A couple decides to have 3 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, What is the probability that they will have exactly 2 girls and 1 boy?  Choose the most appropriate option:
A) 1
B) 2
C) 3
D) 5/8
E) 4

Solution: Sample space = 2^3 = 8.   Favourable events = {bgg}, {bgb}, {bbb}, {ggg}, {gbg}   Probability = 5/8 = 5/8.   Ans (5/8).
Answer: D
Ramu bought an old car for Rs. 42000. He spent Rs. 10000 on repairs and sold it for Rs. 64900. What is his profit percent? Choose the correct choice from the following
A) 17%	B) 19%	C) 24.8%	D) 14%	E) 16%

Solution: Total CP = Rs. 42000 + Rs. 10000   = Rs. 52000 and SP   = Rs. 64900   Profit(%) = (64900 - 52000)/52000 * 100   = 24.8%   Answer: 24.8%
Answer: C
01-Jan-2007 was Monday. What day of the week lies on 01-Jan-2008?	Pick one:
A) Wednesday	B) Sunday	C) Friday	D) Tuesday	E) Thursday

Solution: Explanation:   Given that January 1, 2007 was Monday.   Odd days in 2007 = 1 (we have taken the complete year 2007 because we need to find out the odd days from 01-Jan-2007 to 31-Tuesdayec-2007, that is the whole year 2007)   Hence January 1, 2008 = (Monday + 1 Odd day) = Tuesday   Answer: Option Tuesday
Answer: D
The ratio between the number of sheep and the number of horses at the Stewar farm is 7 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??  Select the correct option.
A) 18 B) 28 C) 32 D) 56 E) 58

Solution: et no of sheep and horses are 7k and 7k   no of horses= 12880/230= 
12880/230 = 56
56   now 7K=56 and k=8   no of sheep=(7*8)= 
(7*8) = 56
56   ANSWER:56
Answer: D
2,500 has how many positive divisors?
Choose the correct answer:
A) 10	B) 12	C) 15	D) 20	E) 25

Solution: By factorization, we can write 2500 as 2500=2^2*5^4.   The number of factors is (2+1)(4+1) = 15   The answer is 15.
Answer: C
On dividing a number by 357, we get 40 as remainder.On dividing the same number by 17, what will be the remainder ? Select the correct option.
A) 6 B) 5 C) 8 D) 7 E) 2

Solution: Let x be the number and y be the quotient.Then,   x=357*y+40   =(17*21*y)+(17*2)+6   =17*(21y+2)+6.   Required number =6.   6nswer is 6
Answer: A
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?  Choose the most appropriate option.
A) 16 years
B) 15 years
C) 56 years
D) Data inadequate
E) 17 years

Solution: Let the present ages of A, B and C be a, b and c respectively.   Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1)   (b + c)/2 = 48 => b + c = 96 --- (2)   From (1) and (2), we cannot find b.   Answer:Data inadequate
Answer: D
the square of two digit number(ab) divided by half of itself resultant added by 18 then divided by 2 then we get reverse of original number(ba). how many combination of ab exist  Choose the correct choice from the following options.
A) 9	B) 8	C) 7	D) 6	E) 5

Solution: (((10a+b)^2)/(10a+b/2)+18)/2=10b+a.   Simplify the above equation.   The final equation will be a-b=-1   There will be 8 combinations of a &b which will satisfy this equation.   i.e.   a=1,b=2   a=2,b=3   a=3,b=4   a=4,b=5   a=5,b=6   a=6,b=7   a=7,b=8   a=8,b=9   9NSWER:9
Answer: A
If p and q are integers, such that p < 1 < q, and s is a nonnegative integer, which of the following must be true?  Choose the correct choice from the following choices
A) p^2 < q^2	B) p + q = 0	C) sp < sq	D) sp ≠ sq	E) p/q < s

Solution: We're told that P < 0 < Q and that S is a NON-NEGATIVE INTEGER. We're asked which of the following MUST be true.   P = -2   Q = 1   S = 0   Answer A: P^2 < Q^2.... 4 < 5 is TRUE   Answer B: P+Q=0... -2+1 = -1 NOT TRUE   Answer C: SP < SQ... 0 < 0 NOT TRUE   Answer D: SP ≠ SQ... 0 = 0 NOT TRUE   Answer E: P/Q < S... -2/1 < 0 not TRUE   p^2 < q^2
Answer: A
An meeting has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
Choose the correct choice from the following answers
A) 10	B) 12	C) 15	D) 24	E) 30

Solution: An meeting has 6 employees;for male 1C1 = 1 ........ 10   foe female = 5C2 = 10.........B   total = 10*1= 
10*1 = 10
10 - answer=10
Answer: A
A women walking at 7 Kmph reaches her office 8 minutes late. If she walks at 9 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?	Choose the correct choice:	A) 2 1/5 Km	B) 3 2/5 Km	C) 4 1/3 Km	D) 8 Km	E) 8 2/5 Km

Solution: Formula = S1*S2/S2-S1 * T1+T2/60   = 7*9/2 * 16/60   = 63/2 * 16/60   = 8 * 2/5   8 2/5 Km
Answer: E
A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required? Select:
A) 95	B) 92	C) 88	D) 82	E) 90

Solution: Area of the field =680 sq. feet.   Length of the adjacent sides are   20 feet and  680/20= 
 680/20 = 34
34 feet.   Required length of the fencing=20+34+34= 
20+34+34 = 88
88 feet Answer: Option 88
Answer: C
The total age of A and B is 11 years more than the total age of B and C. C is how many year younger than  Choose the correct choice from the following answers.
A) 14 years	B) 12 years	C) 56 years	D) 66 years	E) 11 years

Solution: Given that A+B = 11 + B + C   => A â€“ C = 11 + B â€“ B = 11   => C is younger than A by 11 years   Answer:11 years
Answer: E
Latha has 10 candies, ramu has 20 candies. Totally how many candies they have in all?	Choose one: A) 10 B) 20 C) 50 D) 30 E) 5

Solution: 10+20= 
10+20 = 30
30. Answer is 30
Answer: D
If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 1)
II. z<(x − 1)/(y − 1)
III. z>(x + 1)/(y + 1)	Choose the correct choice from the following choices:
A) I only  B) I and II  C) II and III  D) II only  E) I and III

Solution: x < y --> Let x = 2 and y = 3 --> z = 2/3   I. z>(x − 1)/(y − 1) --> 2/3 > 1/2 --> True   II. z<(x − 1)/(y − 1) --> 2/3 < 1/2 --> False   III. z>(x + 1)/(y + 1) --> 2/3 > 3/4 --> False   I onlynswer: I only
Answer: A
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?	Options
A) 80,70 kmph
B) 87,40 kmph
C) 80,40 kmph
D) 70,40 kmph
E) 80,44 kmph

Solution: Speed downstream = 60 + 20= 
60 + 20 = 80
80 kmph   Speed upstream= 60 - 20= 
60 - 20 = 40
40 kmph   Answer: 80,40 kmph
Answer: C
The angle between the minute hand and the hour hand of a clock when the time is 7.30, is	Pick one
A) 35°
B) 65°
C) 55°
D) 45°
E) 95°

Solution: Angle between hands of a clock   When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock   =30(H−M/5)+M/2 degree   When the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H 'o clock   =30(M/5−H)−M/2 degree   Here H = 7, M = 30 and minute hand is behind the hour hand.   Hence the angle   =30(H−M/5)+M/2   =30(7−30/5)+30/2   =30(7−6)+15   =30×1+15 =45°   Answer is 45°.
Answer: D
What will $1000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?	Choose one
A) $1596  B) $1624  C) $1728  D) $1832  E) $1958

Solution: After one year: 1.2 * $1000   After two years: (1.2)^2 * $1000   After three years: (1.2)^3 * $1000 = $1728   The answer is $1728.
Answer: C
12. What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.
Select:  A) 150  B) 152  C) 154  D) 158  E) 144

Solution: 158 = d * Q + R   158 = 17 * 9 + 5   158 = 153 + 5   158 = 158
Answer: D
Can you find the missing number in the sequence given below?
10 15 20 11 16 ? 12 17 22 13 18 23
Choose one:  A) 25  B) 23  C) 21  D) 18  E) 19

Solution: Let's break the given series as below:   10 15 20   11 16 ?   12 17 22   13 18 23   Now read the number from left hand side from top to bottom as :   So the number that will replace '?' is 21   Answer : 21
Answer: C
Each shelf of a bookcase contained 12 books. If the librarian took out 19 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 9 books, how many shelves does the bookcase have? Choices:
A) 7	B) 6	C) 5	D) 8	E) 9

Solution: Let x be the number of shelves.   No of books in the beginning =12*x   After taking out 21 books No of remaining books = 12x -19   when the remaining books are rearranged, each shelf except the last shelf has 8 books and the last shelf has 11 books. So No of remaining books is also equal to 8*(x-1)+9   12x-19=8(x-1)+9   4x=20   x=5. Answer 5
Answer: C
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 210 responses are needed, what is the minimum number of questionnaires that should be mailed?	Pick:
A) 290	B) 320	C) 350	D) 380	E) 410

Solution: Let x be the minimum number of questionnaires to be mailed.   0.6x = 210   x = 350   The answer is 350.
Answer: C
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 140 m, in what time will they cross other travelling in opposite direction?
Choose the correct answer:
A) 17 sec  B) 12 sec  C) 16 sec  D) 14 sec  E) 18 sec

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/5 = 8 m/sec.   Relative speed = 12 + 8= 
12 + 8 = 20
20 m/sec.   Required time= (140 + 140)/20= 
(140 + 140)/20 = 14
14 sec.   Answer:14 sec
Answer: D
A batsman makes a score of 74 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?  Choose one.
A) 25  B) 31  C) 26  D) 29  E) 39

Solution: Let the average after 17 innings = x   Total runs scored in 17 innings = 17x   Average after 16 innings = (x-3)   Total runs scored in 16 innings = 16(x-3)   Total runs scored in 16 innings + 74 = Total runs scored in 17 innings   => 16(x-3) + 74 = 17x   => 16x - 48 + 74 = 17x   => x = 26   Answer is 26
Answer: C
Sakshi can do a piece of work in 15 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work : Choose the correct choice:
A) 15  B) 16  C) 18  D) 12  E) 10

Solution: Solution   Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4 .   Suppose Tanya taken x days to do the work.   5 : 4 : : 15 : x ⇒ x = (15x4/5) ⇒ x = 12 days.   Hence,Tanya takes 16 days is complete the work.   Answer 12
Answer: D
If P and Q are non-zero integers, and P/Q > 1, then which of the following must be true?  Choose the correct option.
A) P > Q	B) 2P >Q	C) P^2< Q^2	D) PQ > P	E) P^3 < Q^3

Solution: PQ > P
Answer: D
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 136 games will be played during the tournament. Find the number of participants.
Select: A) 15 B) 16 C) 17 D) 18 E) 19

Solution: Let P be the number of participants.   P172 = 136   (P)(P-1) = 272 = 17*16   P = 17   The answer is 17.
Answer: C
If p#q denotes the least common multiple of p and q, then Q=((12#16)#(18#24)) = ?	Choose the correct choice from the following: A) 216 B) 180 C) 144 D) 108 E) 72

Solution: 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= 
12*16/4 = 48
48.   The greatest common factor of 18 and 24 is 6. So, 18#24= 18*24/6= 
18*24/6 = 72
72   Finally, the greatest common factor of 48 and 72 is 24. So,Q= ((12#16)#(18#24)) = 48#72 = (48*72)/24 = 2*72= 
2*72 = 144
144   The correct answer is 144.
Answer: C
A certain fruit stand sold apples for $0.70 each and bananas for $0.60 each. If a customer purchased both apples and bananas from the stand for a total of $5.60, what total number of apples and bananas did the customer purchase? Choose the correct choice from the following answers:	A) 8	B) 9	C) 10	D) 11	E) 12

Solution: Let's start with 1 apple for $0.70.   Let's subtract $0.70 from $5.60 until we get a multiple of $0.60.   $5.60, $4.90, $4.20 = 7*$0.60   The customer purchased 7 bananas and 2 apples.   The answer is 9.
Answer: B
An article is bought for Rs.675 and sold for Rs.810, find the gain percent?	Choose the most appropriate option:
A) 33 1/9% B) 33 8/3% C) 20% D) 33 2/3% E) 33 1/2%

Solution: 675 ---- 135   100 ---- ? => 20%   Answer: 20%
Answer: C
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 45 years, was replaced by a new person. Find the age of the new person? Choose the correct option
A) 12  B) 15  C) 18  D) 21  E) 25

Solution: Initial average age of the 10 persons be P.   Age of the new person Q.   Sum of the ages of the initial 10 persons = 10P   New average = (P-3)   10(P-3) = 10P - 45 + Q => Q = 15   ANSWER:15
Answer: B
For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 210 books with me to gift her.
Can you calculate, on which day is our anniversary?  Choose the correct choice from the following choices
A) 20
B) 28
C) 23
D) 33
E) 25

Solution: A   20rd day   1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20= 
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 210
210   Thus our anniversary falls on the 20rd day of the month.   You can apply other formulas to shorten the process but that is the simplest way to do it.
Answer: A
If A, B, C, and D are integers such that A - C + B is even and D + B - A is odd, which of the following expressions is always odd?
Choose the correct choice from the following choices: A) A + D B) B + D C) C + D D) A + B E) A + C

Solution: Even matrix method takes more than two mins in this problem since you have to jot down the even and odd values.   Try subtracting the equations   (A - C + B) - (D + B - A) = 2A-(C+D)   Even - Odd = Odd   So 2A-(C+D) is odd   2A is always even , so the subtrahend should always be odd, so C+D is odd.   ANSWER:C + D
Answer: C
The number 311311311311311311311 is  Choose the correct option
A) divisible by 3 but not by 11 B) divisible by 11 but not by 3 C) divisible by both 3 and 11 D) neither divisible by 3 nor by 11 E) None of these

Solution: Solution   311 is repeated seven times in the number, 311 is not divisible by 3 but 311 repeated twice is not divisible by 3, but divisible by 11.   Similarly 311 repeated thrice is divisible by 3, but not by 11.   As 311 is repeated seven times, which is neither multiple of 2 nor 3.   So, number is not divisible by 3 or 11. Answer neither divisible by 3 nor by 11
Answer: D
The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 2-hour period? Choose the correct choice from the following.
A) 88	B) 56	C) 42	D) 17	E) 64

Solution: Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4= 
20*1/4 = 5
5 minutes plus 2 minutes= 7 minutes.   2 hour = 120 minutes.   In 120 minutes operator can make 120/7=17 trips.   Answer: 17.
Answer: D
If there are 10 peanuts in a box and Mary puts 8 more peanuts inside, how many peanuts are in the box?
Choose the correct choice
A) 8 B) 9 C) 10 D) 11 E) 18

Solution: 10+8= 
10+8 = 18
18   correct answer is 18)18
Answer: E
A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
Select:  A) 9%  B) 11%  C) 15%  D) 25%  E) 90%

Solution: Cost of 12 paper towels individually = 1*12= 
1*12 = 12
12   Cost of a set of 12 paper towels= 9   Cost of one roll = 9/12 = 3/4= 
3/4 = 3/4 = around 0.75
0.75   Savings per roll= 1-.75= 
1-.75 = 0.25
0.25   % of savings is= .25/ 1 *100= 
.25/ 1 *100 = 25
25%   25% is the answer.
Answer: D
bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.  Options:
A) 7/15 B) 2/8 C) 7/11 D) 13/5 E) 87

Solution: Explanation:   Drawing two balls of same color from seven green balls can be done in â·Câ‚‚ ways.   Similarly from eight white balls two can be drawn in â¸Câ‚‚ ways.   P = â·Câ‚‚/Â¹âµCâ‚‚ + â¸Câ‚‚/Â¹âµCâ‚‚ = 7/15   7/15
Answer: A
If the population of a certain country increases at the rate of one person every 45 seconds, by how many persons does the population increase in 1 hour? Select:
A) 80
B) 120
C) 150
D) 180
E) 160

Solution: 80nswer = 1.33 * 60 = 80   80nswer is 80
Answer: A