MU-NLPC/Calc-aqua_rat huggingface dataset:
A credit card number has 6 digits (between 1 to 9 inclusive). The first two digits are 12 in that order, the third digit is bigger than 6, the fourth digit is divisible by 2, and the fifth digit is 2 times the sixth. How many different credit card numbers are possible?  Choose the correct choice from the following
A) 24	B) 36	C) 48	D) 60	E) 72

Solution: The first two digits are fixed.   The third digit can be 7, 8, or 9 so there are 3 choices.   The fourth digit can be 2, 4, 6, or 8 so there are 4 choices.   The fifth digit depends entirely on the sixth digit.   The sixth digit can be 1, 2, 3, or 4 so there are 4 choices.   The number of possibilities is  3*4*4= 
 3*4*4 = 48
48   The answer is 48.
Answer: C
Car A runs at the speed of 80km/hr & reaches its destination in 5hr. Car B runs at the speed of 100 km/h & reaches its destination in 2h. What is the respective ratio of distances covered by Car A & Car B?	Choose the correct choice from the following answers.
A) 11 : 5
B) 11 : 8
C) 2 : 1
D) 15 : 7
E) 16 : 9

Solution: Sol. Distance travelled by 2 : 1ar A = 80 × 5 = 400 km   Distance travelled by 2 : 1ar B = 100 × 2 = 200 km   Ratio = 400/200= 
400/200 = 2
2 : 1   Answer : 2 : 1
Answer: C
In how many different number of ways 5 men and 4 women can sit on a shopa which can accommodate persons? Choose the correct choice.
A) 200	B) 230	C) 240	D) 9	E) 260

Solution: 9p1 = 9   9
Answer: D
Total of ages of A,B and C at present is 90 years. If ratio of this ages is 2 : 3 : 4 what will be the age of C after 8 years? Options:
A) 45 years B) 42 years C) 40 years D) 48 years E) None of the above

Solution: 2+3+4= 
2+3+4 = 9
9   4*(90/9)= 
4*(90/9) = 40
40yrs   after 8 yrs=48   ANSWER:48 years
Answer: D
In a survey of 345 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?  Choose one:	A) 7/12	B) 8/41	C) 9/348	D) 1/8	E) 40/69

Solution: ---------UI----------------NUI-------Total   PT ----(12.5/100)*104= 
 ----(12.5/100)*104 = 13
13----------- --54   NPT---104-13-------------- x--------291   Total--104----------------------------345   we have to find not part time and not uninsured . in other words not part time and insured= x/345 = (291-104+13)/345   = 40/69   Answer is 40/69.
Answer: E
The ratio of present age of A and B is 4:3. A will be 26yrs old in 6yrs from now. How old is B now?  Choose the correct choice from the following answers:
A) 15yrs  B) 20yrs  C) 25yrs  D) 10yrs  E) 18yrs

Solution: present age of A is 20yrs(26-6).   4/3=20/x;   x=15   15yrsNSWER:15yrs
Answer: A
A shopkeeper sold sarees at 266 each after giving 5% discount on labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?
Choose the correct choice from the following.
A) 280
B) 260
C) 38 mph
D) Data inadequate
E) None of these

Solution: Marked price = 266 × 100⁄95 × 280   Cost Price = 280 × 100⁄112 = 250   Answer None of these
Answer: E
It takes Avery 4 hours to build a brick wall while Tom can do it in 2 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
Select:
A) 20 B) 40 C) 30 D) 50 E) 60

Solution: Avery takes 4 hours   Tom takes 2 hours   Efficiency of Avery is 1/4 units/hr   Efficiency of Tom is 1/2 units/hr   Combined efficiency of Tom and Avery is 1/4 +1/2 = 3/4 units/hr   Since they worked for 1 hour they completed 3/4 units of work and 1/4 units of work is left which is to be completed by Tom ( Since Avery left )   So Time taken by Tom to complete the remaining work will be 1/4/1/2 hours => 1/2*60= 
1/2*60 = 30
30 minutes...   Answer will be (30)
Answer: C
Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?  Choose the correct choice from the following
A) 3 days B) 3.5 days C) 4.5 days D) 5.5 days E) 2.5 days

Solution: 14/ (2 * 2)= 
14/ (2 * 2) = 7/2 = around 3.5
3.5 days   ANSWER:3.5 days
Answer: B
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 18. Which of the following is NOT a possible value for y + b? Choose the correct choice from the following choices:
A) 24  B) 21  C) 20  D) 17  E) 15

Solution: Important note: remainder is ALWAYS less than divisor, thus y>6 and b>18 --> y+b>24.   24nswer: 24.
Answer: A
What is (21^7+21) / 21?  Answers
A) 82216043  B) 83786095  C) 84316108  D) 85766122  E) 86426237

Solution: (21^7+21) / 21 =   21*(21^6+1) / 21 =   21^6 + 1   Clearly this is a number which ends with a 2 in the units place.   The answer is 85766122.
Answer: D
Local trains leave from a station at an interval of 15 minutes at a speed of 16 km/h. A man moving from opposite side meets the trains at an interval of 12 minutes. Find the speed of the man. Choose the correct choice from the following answers.
A) 4 km/h B) 3.5 km/h C) 4.5 km/h D) 3 km/h E) None of these

Solution: Let speed of man = S km/h. Then,   Distance covered in 15 min = Distance covered in 12 min   16 × 15⁄60 = 12⁄60[16 + S]   ⇒ 16 + S = 20 ⇒ S = 4 km/h   4 km/hnswer 4 km/h
Answer: A
The average weight of A, B and C is 45 kg. If the average weight of A and B be 42 kg and that of B and C be 43 kg, then the weight of B is: Choose the correct choice from the following.
A) 33 kg B) 31 kg C) 32 kg D) 36 kg E) 35 kg

Solution: Let A, B, C represent their respective weights.   Then, we have: A + B + C = (45 x 3) = 135 .... (i)   A + B = (42 x 2) = 84 .... (ii)   B + C = (43 x 2) = 86 ....(iii)   Adding (ii) and (iii), we get: A + 2B + C = 170 .... (iv)   Subtracting (i) from (iv), we get : B = 35   B's weight = 35 kg.   35 kg
Answer: E
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
Choices
A) Rs. 207.40 B) Rs. 534.60 C) Rs. 648 D) Rs. 655.60 E) Rs. 755.60

Solution: No. of shares= 4455/8.25= 
4455/8.25 = 540
540   income on shares=540*10= 
540*10 = 5_400
5400   annual income=12*5400/100= 
12*5400/100 = 648
648   ANSWER:Rs. 648
Answer: C
A circular swimming pool is surrounded by a concrete wall 4ft wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius of the pool is? Choose the correct option:
A) 22
B) 20
C) 88
D) 387
E) 19

Solution: let the radius of the pool be Rft   Radius of the pool including the wall = (R+4)ft   Area of the concrete wall = {\color{20lack} \Pi \left [ (R+4)^{2} -R^{2}\right ]}={\color{20lack} \Pi \left [ (R+4+R)(R+4-R) \right ] =8\Pi (R+2)} sq feet   {\color{20lack} \Rightarrow 8\Pi (R+2)=\frac{11}{25}\Pi R^{2}\Rightarrow 11R^{2}=200(R+2)}   Radius of the pool R = 20ft   Answer: 20) 20ft
Answer: B
Harry started a 4-mile hike with a full 6-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 1 cups of water during the last mile, how many cups did he drink per mile during the first 3 miles of the hike?
Choose the correct choice.
A) 1/3  B) 2/3  C) 3/4  D) 5/4  E) 4/3

Solution: No of cups leaked during the trip = 2 cups.   No of cups Harry drank = 3 cups.   No of cups harry drank during the first 3 miles = 2.   drink / mile = 2/3   Answer:2/3
Answer: B
The average age of 3 girls is 40 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
Choose the correct choice from the following answers:
A) 22 years	B) 23 years	C) 21 years	D) 20 years	E) 25 years

Solution: Total age of 3 boys = 40*3= 
40*3 = 120
120   ratio of their ages= 1:2:3   Age of the youngest =120*1/6= 
120*1/6 = 20
20 years   Answer is 20 years
Answer: D
A group of 10 people consists of 3 married couples and 4 single men. A committee of 4 is to be formed from the 10 people. How many different committees can be formed if the committee can consist of at most 1 married couple? Select
A) 105	B) 207	C) 210	D) 540	E) 5,040

Solution: Total number of possibilities of selecting 4 people out of 10 without any restrictions = 10C4 = 10!/(4!*6!)   = (10*9*8*7)/4*3*2*1   = 10*3*7= 
10*3*7 = 210
210   Number of possibilities of selecting 2 married couples= 3C2 = 3!/2! = 3   Number of different committees with atmost 1 married couple that can be formed = 210 - 3= 
210 - 3 = 207
207   Answer 207
Answer: B
A train cross a 450 m bridge in 42 s and another bridge 650 m length in 50 s what is approximate speed of train in km/h? Choose the correct choice from the following choices
A) 90 Km /hr.  B) 25 Km /hr.  C) 30 Km /hr.  D) 20 Km /hr.  E) None of these

Solution: Explanation:   Let the length of the train be L.   Then,   => (450 + L)/42 = (650+L)/50.   => L= 600 m.   Now, speed = (450+600)/42 or  (650+600)/50= 
 (650+600)/50 = 25
25 m/s i.e. 25*(18/5)= 90 Km /hr.   90 Km /hr.NSWER IS 90 Km /hr.
Answer: A
Anderson has a phone plan that charges a
monthly rate of $50 for the first 1,000 minutes
plus $0.25 for each additional minute.
Which of the following functions models
Anderson’s plan for all m > 1,000, with m as
the number of minutes per month and f(m)
as the monthly charge?  Choose the correct choice from the following answers.
A) f(m) = 0.25m	B) f(m) = 0.25m + 50	C) f(m) = 0.25m – 200	D) f(m) = 0.25m – 950	E) f(m) = 0.25m + 1,000

Solution: For m > 1,000 — that is, beyond 1,000 minutes of usage — the plan charges a usage fee   based on the number of minutes used plus a flat rate of $50. With this information, you can   create the following function:   f(m) = Usage fee + 50   The usage fee is $0.25 per minute; however, the first 1,000 minutes are already paid for. So   the usage fee is 0.25(m – 1,000). Plug this value into the preceding function and simplify:   f(m) = 0.25(m – 1,000) + 50   f(m) = 0.25m – 250 + 50   f(m) = 0.25m – 200   correct answer f(m) = 0.25m – 200)f(m) = 0.25m – 200
Answer: C
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 7 pencils and 11 charts have been brought to the meeting, how many people are present? Options:
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: Say there are 'A' associate professors. So we have 2A pencils and A charts.   Say there are 'B' assistant professors. So we have B pencils and 2B charts.   Total pencils are 10 so 26 + B = 7   Total charts are 11 so 6 + 2B = 11   6dd both: 36 + 3B = 18 so 6 + B = 6   Total number of people = 6   6
Answer: A
If the President and Vice President must sit next to each other in a row with 3 other members of the Board, how many different seating arrangements are possible?
Options:
A) 12  B) 26  C) 20  D) 48  E) 32

Solution: We need to take President and VP as one unit. Therefore we have 4 people to arrange=4! ways   Also, we both President and VP can be arranged in 2 ! ways.   Reqd no of ways=4!*2!=48 ways   Answer 48
Answer: D
A sum of money placed at C.I. interest doubles itself in 5 years. It will amount to eight times itself at the same rate of interest in Pick one:
A) 17 years
B) 87 years
C) 15 years
D) 16 years
E) 19 years

Solution: P(1 + R/100)5 = 2P => (1 + R/100)5 = 2   Let P(1 + R/100)n = 8P   => (1 + R/100)n = 8 = 23 = {(1 + R/100)5}3   => (1 + R/100)n = (1 + R/100)15 => n = 15 Required time   = 15 years.   Answer:15 years
Answer: C
Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?  Choose the correct choice from the following answers
A) 9 3/8 days  B) 4 2/8 days  C) 17 9/8 days  D) 12 7/8 days  E) 16 9/8 days

Solution: 1/15 + 1/25 = 8/75   75/8 = 9 3/8 days   9 3/8 daysNSWER:9 3/8 days
Answer: A
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?	Select
A) 7000 B) 7200 C) 7400 D) 7600 E) 8000

Solution: State A and State B had an equal number of candidates appeared.   In state A, 6% candidates got selected from the total appeared candidates   In state B, 7% candidates got selected from the total appeared candidates   But in State B, 80 more candidates got selected than State A   From these, it is clear that 1% of the total appeared candidates in State B = 80   => total appeared candidates in State B = 80 x 100 = 8000   => total appeared candidates in State A = total appeared candidates in State B = 8000   8000)
Answer: E
If 0 < x > 7 and 5 < y < 9, then the lowest possible value for xy is  Options
A) between 60 and 70
B) between 0 and 60
C) 0
D) between 0 and -70
E) less than -70

Solution: If 0 < x > 7 and 5 < y < 9, then the lowest possible value for xy is   Say y = 8 (y<9)   x = 8   So xy =64 which is more than 60.   between 60 and 70nswer is between 60 and 70.
Answer: A
If a cube of dimension 4 by 4 by 4 is cut into 1 by 1 by 1 after painting it by red color then which of the following is/are true.
I) Ratio of number of painted surfaces of resultant cubes to total number of surfaces is 1/4
II) Number of cubes having no faces pointed is equal to number of cubes having three faces painted.
III) Number of cubes having 2 faces painted is same as number of cubes having one face painted  Choose the correct choice from the following:
A) None  B) II and III  C) II only  D) I, II & III  E) I & III only

Solution: Long explanation, probably too detailed   Hypercube facts (n=3 for a cube):   2^n vertices 2n−1n edges 2+E−V faces   For a cube: 8 vertices, 12 edges and 6 faces   Let G=4be the size of the original cube.   I) Ratio of number of painted surfaces of resultant cubes to total number of surfaces is 1/4   There is 1 large cube with 6 sides of G2 painted faces.   There is G3x1 cubes with 6 sides of surface area 1.   1×6×G^2/G3×6×1=G^2/G^3=G−1=1/4   True   II) Number of cubes having no faces pointed is equal to number of cubes having three faces painted.   There are always 8 vertices on a cube, each vertex is the only 1x1 block which has 3 coloured faces.   Inside the cube, there is a secondary unpainted cube. Each side of this unpainted cube is equal to the size of the original cube minus two (on each axis, there will be two 1x1 cubes on the exterior of the larger cube). The size of this cube is (G−2)3   There are (G−2)3( cubes with 0 sides painted. =23=8   There are V=23 cubes with 3 sides painted =8   True   III) Number of cubes having 2 faces painted is same as number of cubes having one face painted   There are 12 edges on a cube. Each edge consists of G cubes, two of which are the vertices of the cube (and have 3 colours), the rest have two colours.   On each exterior face, there is a square of (G−2) cubes, surrounded by 4 vertex cubes and (G−2)×4 edge cubes.   Each square consists of (G−2)^2 coloured faces. There is 1 square per face.   There are (G−2)×E cubes with 2 sides painted. =2×12=24   There are (G−2)2×F cubes with 1 side painted. =22×6=24   True   ANSWER:I, II & III
Answer: D
Two fill taps A and B can separately fill a cistern in 45 and 40 minutes respectively. They started to fill a cistern together but tap A is turned off after few minutes and tap B fills the rest part of cistern in 23 minutes. After how many minutes,was tap A turned-off?	Choose the correct option:
A) 9 min
B) 10 min
C) 12 min
D) 7 min
E) None of these

Solution: Let A was turned off after x min. Then,   cistern filled by A in x min + cistern filled by B in (x + 23) min = 1   ⇒ x/45+x+23/40=1   ⇒ 17x + 207 = 360 ⇒ x = 9 min.   9 minnswer 9 min
Answer: A
If n = 6p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?	Choose the correct choice from the following:	A) Two	B) Three	C) Four	D) Six	E) Eight

Solution: If n = 6p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?   (A) Two   (B) Three   (C) Four   (D) Six   (E) Eight   Since we cannot have two correct answers just pick a prime greater than 2, and see how many different positiveevendivisors will 6p have.   p = 3 --> 6p = 18--> 18 has 3 even divisors: 2, 6, 18.   Answer: Three.
Answer: B
A person travels from A to B at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?	Choose the correct choice from the following answers
A) 48 km/hr	B) 56 km/hr	C) 60 km/hr	D) 52 km/hr	E) None of these

Solution: Explanation:   Method : 1   If a car covers a certain distance atxkmph and an equal distance at y kmph,   the average speed of the whole journey = 2xy/x+y kmph.   By using the same formula, we can find out the average speed quickly   Speed with which he travels from 48 km/hr to B = x = 40 km/hr   Speed with which he travels from B to 48 km/hr = x = 40×(100+50)/100 = 60 km/hr   average speed = (2×40×60)/(40+60) = 48 km/hr   48 km/hrssume that distance from 48 km/hr to B = x km   Speed with which he travels from 48 km/hr to B = x = 40 km/hr   Time to travel from 48 km/hr to B = distance/speed = x/40 hr   Speed with which he travels from B to 48 km/hr = 40×(100+50)/100 = 60 km/hr   Time to travel from B to 48 km/hr = distance/speed = x/60   Total distance traveled = x+x = 2x   Total time taken = x/40 + x/60   48 km/hrverage speed = Total distance traveled/Total time taken = 2x/(x/44)+(x/60)   = 2/[(1/60)+(1/40)] = (2×2400)/(40+60) = 2×24 = 48 km/hr   48 km/hrnswer: Option 48 km/hr
Answer: A
Marcella has 24 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?  Pick:	A) 21	B) 20	C) 19	D) 16	E) 15

Solution: Marcella has 24 pairs of shoes and loses 9 shoes.   To minimize the loss of identical pairs of shoes we want Marcella to lose as many identical pairs as possible. This would yield 4 identical pairs and 1 additional shoe (destroying 5 pairs of shoes).   The 24 pairs of shoes minus the 5 'destroyed' pairs yields 19 pairs that still fulfill the requirements.   Answer: 19
Answer: C
3 Years ago, the average age of a family of 5 members was 18 years. A baby having been born, the average age of the family is the same today. The present age of the baby is Choose the correct answer:
A) 1 year.  B) 1.5 Years.  C) 2 Years.  D) 3 Years.  E) 4 Years.

Solution: We're told that 3 YEARS AGO, the average age of a family of 5 members was 17 years.   This means that the SUM of their ages was (5)(18) = 90 years.   A baby was born (meaning that there are now 6 family members). We're told that the PRESENT average age of the family members is the SAME.   This means that the sum of the ages is (6)(17) = 102 years.   We're asked for the PRESENT age of the baby.   Since each of the original 5 family members has aged 3 years since the initial average was calculated, the sum of their PRESENT ages is...   90 + (5)(3) = 108.   3 Years.
Answer: D
On her annual road trip to visit her family in Seal Beach, California, Alice stopped to rest after she traveled 1⁄3 of the total distance and again after she traveled 1⁄4 of the distance remaining between her first stop and her destination. She then drove the remaining 200 miles and arrived safely at her destination. What was the total distance, in miles, from Alice’s starting point to Seal Beach?	Choose the correct choice from the following answers:
A) 250  B) 300  C) 350  D) 450  E) 400

Solution: Let D = total distance   Traci traveled 1/3 = D/3   i.e. remaining distance = 2D/3   She traveled 1/4 th of 2D/3 = D/6   Thus:   D = (D/3) + (D/6) + 200   D = 400   ANSW400R: 400
Answer: E
John bought 2 shares and sold them for $94 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had	Select the correct option:
A) a profit of $10 B) a profit of $8 C) a loss of $8 D) a loss of $12 E) neither a profit nor a loss

Solution: $ Profit of the share sold at 20% profit =   120-94   20-?   $14 profit on the sale of 1 share.   $ Loss of the share sold at 20% loss=   80-94   20-?   $26 loss on the sale of 1 share.   14-26=Loss of $12   Answer: a loss of $12
Answer: D
If A is a positive integer greater than 1, what is the sum of the multiples of A from A to A^2, inclusive?  Select:
A) A^2(A + 1)/2
B) A(A + 1)(A-1)
C) A^2(A-1)
D) (x^3 + 2x)/2
E) x(x-1)^2

Solution: Ans :- A   I substituted 3 in all answer choices.   Option C A were both satisfying the condition.   So i substituted 4 instead of 3 in all answer choices,   A^2(A + 1)/2=A^2(A + 1)/2^2(A^2(A + 1)/2 + 1)/2
Answer: A
What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43, 46, x
Choose the correct choice from the following choices:	A) 29	B) 31	C) 23	D) 51	E) 69

Solution: (51)   The pattern is + 3, + 5, + 3, + 5, …………   So the missing term is = 46 + 5= 
46 + 5 = 51
51
Answer: D
The greatest number by which the product of three consecutive multiples of 2 is always divisible is  Pick:  A) 48  B) 76  C) 152  D) 162  E) None of these

Solution: Solution   Required number	= Product of first three multiplies of 3   = (2 Ã— 4 Ã— 6)= 48.   48nswer 48
Answer: A
The roots of the equation ax(2)exponent) + bx + c = 0 will be reciprocal if: Choose one:
A) c = ab.  B) a = bc  C) c = b  D) c = a  E) a = b

Solution: Let k be one of the root of the given equation.   According to the problem,   1/k will be the other root of the given equation.   We know that, product of the roots of the equation = c/a.   Therefore, k × 1/k = c/a.   or, 1 = c/a.   or, a = c [multiplying a on both sides].   The roots of the equation ax2exponent + bx + c = 0 will be reciprocal if a = c.   Therefore, a = c or c = a.
Answer: D
Find the value of 72519 x 9999 = m? Pick one.
A) 567688653  B) 465768853  C) 678488937  D) 725117481  E) 789458695

Solution: 72519 x 9999 = 72519 x (10000 - 1)   = 72519 x 10000 - 72519 x 1   = 725190000 - 72519= 
725190000 - 72519 = 725_117_481
725117481   725117481
Answer: D
In an election a candidate who gets 60% of the votes is elected by a majority of 1040 votes. What is the total number of votes polled?	Choose the correct choice from the following answers.
A) A)4500	B) B)5200	C) C)6900	D) D)7520	E) E)6000

Solution: Let the total number of votes polled be x   Then, votes polled by other candidate = (100-60)= 
(100-60) = 40
40% of x   60% of x - 40% of x= 1040   20x/100 = 1040   x = 1040*100/20= 
1040*100/20 = 5_200
5200   Answer is 5200
Answer: B
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 5 people take the trip rather than 15, how many more dollars, in terms of x, will it cost per person?  Select
A) x/6  B) x/16  C) x/40  D) 3x/40  E) 3x/22

Solution: Just plugging in values   X= 75   Cost per person if we consider 5 = 15   Cost per person if we consider 15 = 5   Difference between costs is 10 dollars.   Plugging in the value of x into the answer choices, let's see which one yields a result of 10. And that is 3x/22.
Answer: E
If a(a + 5) =6 and b(b + 5) =6, where a ≠ b, then a + b = Choose the correct choice from the following
A) −5
B) −9
C) 2
D) 46
E) 48

Solution: i.e. if a = 1 then b = -6   or if a = -6 then b = 1   But in each case a+b = -6+1 = -5   −5nswer: option −5
Answer: A