MU-NLPC/Calc-aqua_rat huggingface dataset:
Average families of 4 pay $3000 for their health insurance deductibles annually. There will be a 2/3 increase in the deductibles for next year. How much more will the average family pay in deductibles next year?
Choose one.
A) $1000	B) $2000	C) $3000	D) $4000	E) $5000

Solution: A certain percentage of questions in the Quant section of the GMAT are just 'math questions' - you'll use a formula, do some calculations and you'll have the answer. This is one of those types of questions. You still have to write everything down and stay organized, but the work involved is relatively straight-forward.   Here, we're told that the current annual deductible is $3000 and that the deductible is to be increased by 2/3. We're asked how MUCH MORE will the deductible cost a family next year.   Original Deductible = $3000   Increase in Deductible = 2/3   The answer is calculated by the equation:   $3000 × 2/3 = $2000.   $2000
Answer: B
Scott's average (arithmetic mean) golf score on his first four rounds was 78.What score does he need on his fifth round to drop his average score by 2 points?  Choose one:
A) 68  B) 72  C) 78  D) 88  E) 312

Solution: 68verage score for first 4 rounds = 78   68verage score after 5 rounds = 76   Score Scott needs on his 5th round to drop average score by 2 points = 78 - (2*5)= 
78 - (2*5) = 68
68   68nswer 68   68lternatively , sum of scores of first 4 rounds= 78*4= 
78*4 = 312
312   Sum of scores after 5 rounds= 76*5= 
76*5 = 380
380   Score Scott needs on his 5th round to drop average score by 2 points= 380 - 312= 
380 - 312 = 68
68   68nswer 68
Answer: A
Two vertical poles 2 meter and 8 meter high stand apart on a horizontal plane. find the height in meters of the point of intersection of the lines joining the top of each pole to the bottom of the other pole.  Answers:	A) 1.8	B) 1.9	C) 1.6	D) 1.7	E) 56

Solution: Let A be the point of the top of the 2m pole.   Let B be the point of the foot of the 2m pole.   Let C be the point of the top of the 8m pole.   Let D be the point of the foot of the 8m pole.   Let E be the point of intersection of the line segments AD and BC.   From E drop a perpendicular to the ground.   Let F be the point on the ground where perpendicular from E meets the ground.   Let X be the distance from E to F.   Let P be the distance from B to F.   Let Q be the distance from F to D.   Triangles BEF and BCD are similar so we get Equation 1:   X/P = 8/(P+Q)   Triangles DEF and DAB are similar so we get:   X/Q = 2/(P+Q)   Multiplying both sides by 4 we get Equation 2:   (4X)/Q = 8/(P+Q)   Combining Equations 1 and 2 we get:   X/P = (4X)/Q   Simplifying this we get:   1/P = 4/Q   And then we get:   Q = 4P   Substituting Q=4P into Equation 1 we get:   X/P = 8/(P+4P)   Simplifying this we get:   X/P = 8/(5P)   X = (8P)/(5P)   X = 8/5= 
8/5 = 8/5 = around 1.6
1.6   Therefore, the desired height is 1.6 meters.   ANSWER:1.6
Answer: C
Find the odd man out
25, 49, 81, 121, 144, 169
Choose the correct answer:
A) 49
B) 121
C) 144
D) 169
E) 25

Solution: 144 is square of 12 which is even number where as all others are squares of odd numbers.   ANSWER:144
Answer: C
You have a battery that is charged during the day by a solar panel. At night, 3 Iphones use that battery and deplete the charge after 4.8 hours. Your family shows up and they have brought 9 of their own Iphones. How many hours before the charge on the battery is depleted now?
Choose the correct answer:	A) 5.3	B) 1.2	C) 1.8	D) 2.2	E) 1.5

Solution: First set up a ratio with all the relevant values and also the unknown variable:   3*4.8 = 12*x   Now solve by multiplying 3 by 4.8 and then dividing that product by 12:    3*4.8= 
 3*4.8 = 14.4
14.4   14.4/12= x   x = 1.2   The value of x equals the number of hours the battery charge will last if 12 Iphones are connected to it.   Answer: 1.2
Answer: B
A part of certain sum of money is invested at 16% per annum and the rest at 20% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choose the correct choice from the following options.
A) 4:6	B) 4:9	C) 4:3	D) 4:1	E) 5:4

Solution: 20:16   = 5:4   Answer: 5:4
Answer: E
If 16^y = 4^16, what is y?
Select.
A) 2  B) 4  C) 8  D) 12  E) 16

Solution: 16^y = 4^2y = 4^16   2y=16   y = 8   The answer is 8.
Answer: C
Two trains of equal are running on parallel lines in the same direction at 48 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Pick one:	A) 60 m	B) 72 m	C) 80 m	D) 82 m	E) 84 m

Solution: Let the length of each train be x m.   Then, distance covered = 2x m.   Relative speed = 48 - 36= 
48 - 36 = 12
12 km/hr.= 12 * 5/18 = 10/3 m/sec.   2x/36 = 10/3=> x = 60.   60 mNSWER:60 m
Answer: A
To produce an annual income of Rs. 1200 from a 12 % stock at 90,the amount of stock needed is :
Select the correct option.
A) Rs. 10,000  B) Rs. 10,800  C) Rs. 14,400  D) Rs. 16,000  E) None of these

Solution: Solution   For an income of Rs. 12, stock needed = Rs. 100.   For an income of Rs. 1200, stock needed = Rs. 100/12x1200 = 10000   Rs. 10,000nswer Rs. 10,000
Answer: A
On a windy day, out of every 3 sand dunes formed, only 1 remains. Out of 5 blown-out
sand-dunes, 1 has treasure and only 2 out of 3 sand dunes formed have lucky coupons. Find
the probability that the blown-out sand dune will contain both the things. Choose the correct answer:
A) 2/25  B) 4/75  C) 7/75  D) 3/5  E) 4/45

Solution: Probability of sand dune blown out = 2/3   Probability that it has treasure = 1/5   Probability that it has lucky coupon = 2/3   total probability = 2/3 * 1/5 * 2/3 = 4/45   ANSW4/45R:4/45
Answer: E
The average age of a family of 6 members is 34 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?	Select the correct option.
A) 15  B) 18  C) 21  D) 12  E) 27

Solution: Present age of total members = 6 X 34 = 204   7 yrs back their ages were = 6 x 7 = 42   Ages at the birth of youngest member = 204 - 42= 
204 - 42 = 162
162   Therefore, avg age at the birth of youngest member= 162/6= 
162/6 = 27
27.   ANSW27R:27
Answer: E
The banker's discount on Rs.1450 due a certain time hence is Rs.145. Find the true discount and the banker's gain.	Select the correct option.
A) 13 B) 15 C) 18 D) 21 E) None

Solution: Solution   Sum	=B.D x T.D/ B.D - T.D   = B.D x T.D/ B.G   T.D / B. G	=Sum / B.D   = 1450 / 145= 
1450 / 145 = 10
10 / 1   If B.D is Rs. 11,T.D= Rs.10.   If B.D is Rs.145,   T.D	= Rs.(10 / 11 x 145)   = Rs.132.   And, B.G	= Rs(165 - 132)   = Rs.13.   13nswer 13
Answer: A
A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,460 ?	Choices.
A) $12	B) $14	C) $18.6	D) $17	E) $18

Solution: I solved it as follows:   10+2(x) = 100 -5(x)   x= 12   Equation should be (10+$2*x)(100-5x)=1,460, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,460 --> (5+x)(20-x)=146 --> x=4.3 or x=10.7 --> price=10+$2*4.3=$18.6 or price10+ 2*4.3= 
10+ 2*4.3 = 18.6
$18.6 or price=10+$2*10.7=$31.4.   Answer: $18.6.
Answer: C
A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.130/- extra, then how much amount he took?	Choose the correct choice from the following options:  A) s.5500/-  B) s.6500/-  C) s.4000/-  D) s.7000/-  E) s.8000/-

Solution: Explanation:   2 years = Rs.130/-   year = 130/2   Rate of Interest = 1%   100/1% × 130/2 = Rs.6500/-   P = Rs.6500/-   Answer: Option s.6500/-
Answer: B
If two times of the daughter’s age in years is included to the mother’s age, the total is 70 and if two times of the mother’s age is included to the daughter’s age, the total is 95. So the Mother’s age is,  Choose the correct choice:
A) 30 B) 40 C) 50 D) 60 E) 39

Solution: 40   40   Let daughter’s age = A and mother’s age = 40   Given:   2A+40 = 70 and,   A+240 = 95   Solving 40, we will get 40 = 40.
Answer: B
A boutique sold 500 dress shirts at $25 each, 600 belts at $10 each, 700 pants at $50 each and 1000 shoes at $200. What % of the stores revenue came from dress shirts and pants? Choose the correct option: A) 19.5% B) 17.5% C) 16.5% D) 13.5% E) 18.5%

Solution: Correct Answer: 18.5%   The company's total revenue from dress shirts=500*$25=$12500   The company's total revenue from belts500* 25= 
500* 25 = 12_500
$12500   The company's total revenue from belts=600*$15=$9000   The company's total revenue from pants600* 15= 
600* 15 = 9_000
$9000   The company's total revenue from pants=700*$50=$35000   The company's total revenue from shoes700* 50= 
700* 50 = 35_000
$35000   The company's total revenue from shoes=1000*$200=$200000   The combined total of all sales1000* 200= 
1000* 200 = 200_000
$200000   The combined total of all sales=$256500   The combined total of dress shirts and pants=$12500+$35000=$47500   Therefore % of dress shirts and pants sales12500+ 35000= 
12500+ 35000 = 47_500
$47500   Therefore % of dress shirts and pants sales=47500/256500*100= 18.5%
Answer: E
How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132
meters in length ?
Select the correct option:
A) 15 seconds
B) 12.1 seconds
C) 10 seconds
D) 8.1 seconds
E) None of these

Solution: Explanation:   Speed = 72 km/hour = 72*(5/18) m/sec   = 20 m/sec   Total distance to be covered = 110+132 = 142 meters   Time = Distance/Speed   = 242/20= 
242/20 = 121/10 = around 12.1
12.1 seconds   Answer: 12.1 seconds
Answer: B
25% of a number is more than 20% of 650 by 190. Find the number? Choose the correct answer:
A) 288  B) 278  C) 800  D) 267  E) 1280

Solution: (25/100) * X â€“ (20/100) * 650 = 190   1/4 X = 320   X = 1280   Answer:1280
Answer: E
How many different section of 4 books can be made from 10 different books if two particular books are never selected? Choices
A) 90 B) 50 C) 60 D) 80 E) 70

Solution: This means four books are seclected out of the remaining 8 books. Required number of ways = 8C4= 8!/4!x4!=70. Ans: 70.
Answer: E
A man whose bowling average is 12.4, takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number of wickets taken by him before his last match is?  Choose the correct choice from the following options:
A) 82  B) 83  C) 84  D) 85  E) 86

Solution: 12.4x+26/(5+x)=12   12.4x+26=60+12x   x=34/0.4= 
34/0.4 = 85
85   ANSWER:85
Answer: D
If the cost price of 30 articles is equal to the selling price of 45 articles, what is the % profit or loss made by the merchant?
Choose the most appropriate option
A) 33.33% loss
B) 25% profit
C) 20% loss
D) 20% profit
E) 5% profit

Solution: Let the cost price of 1 article be $1.   Therefore, cost price of 30 articles = 30 * 1= 
30 * 1 = 30
$30   The selling price of 45 articles= cost price of 30 articles = $30.   Now, we know the selling price of 45 articles. Let us find the cost price of 45 articles.   Cost price of 45 articles = 45 * 1= 
45 * 1 = 45
$45.   Therefore, profit made on sale of 45 articles= Selling price of 45 articles - cost price of 45 articles   = 30 - 45 = -$15.   As the profit is in the negative, the merchant has made a loss of $15.   Therefore, % loss = loss/cp * 100   % loss = -15/45 * 100 = 33.33% loss.   33.33% loss
Answer: A
The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability D that Tommy CANNOT form a triangle from the 3 sticks?  Choose the correct choice from the following options.
A) 11/32	B) 13/32	C) 15/32	D) 17/32	E) 19/32

Solution: In order to form a triangle, the sum of two sides must be greater than the third side.   So we can choose the combination of numbers which will NOT result in a triangle.   Favorable outcomes:   1,1,4 (4>1+1): 3 ways of arriving at this (1,1,4), (1,4,1), (4,1,1) or   1,2,4 (4>1+2): 6 ways of arriving at this (1,2,4), (1,4,2), (2,1,4), (2,4,1), (4,1,2), (4,2,1) which is same as 3!   1,3,4 (4=1+3): 6 ways of arriving at this   2,2,4 (4=2+2): 3 ways of arriving at this   1,1,3 (3>1+1): 3 ways of arriving at this   1,2,3 (3=1+2): 6 ways of arriving at this   1,1,2 (2+1+1): 3 ways of arriving at this   Overall favourable outcomes: 30   Total outcomes:  4*4*4= 
 4*4*4 = 64
64 (4 ways of choosing a stick from each of the 3 bags)   Probability D that a triangle is not formed= 30/64 = 15/32   15/32 is the correct option here.
Answer: C
A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 30 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?  Choose the correct choice from the following answers.
A) 450.	B) 412.	C) 432.	D) 502.	E) 522.

Solution: Pastry is divided in 30 customers equally. So,total number of pastry must be a multiple of 30   Only option 450. satisfies the condition, and hence is the answer
Answer: A
What is the total cost of 2 sandwiches at $2.44 each and 4 sodas at $0.87 each? Choose the correct answer
A) $3.36
B) $6.85
C) $8.36
D) $10.08
E) $11.85

Solution: Answer = $8.36   2 * 2.44 + 4 * 0.87   = 2 (2.50 - 0.06) + 4 (1.00 - 0.13)   = 5 + 4 - 0.12 - 0.52   = 9 - 0.64= 
9 - 0.64 = 8.36
8.36
Answer: C
A class average mark in an exam is 70. The average of students who scored below 60 is 50. The average of students who scored 60 or more is 75. If the total number of students in this class is 20, how many students scored below 60? Choose the correct choice from the following answers:
A) 5
B) 10
C) 15
D) 20
E) 25

Solution: Let n the number of students who scored below 60 and N the number of students who scored 60 or more. Xi the grades below 60 and Yi the grades 60 or above.   [sum(Xi) + sum(Yi)] / 20 = 70 : class average   sum(Xi) / n = 50 : average for less that 60   sum(Yi) / N = 75 : average for 60 or more   50n + 75N = 1400 : combine the above equations   n + N = 20 : total number of students   n = 4 and N = 16 : solve the above system   correct answer 20
Answer: D
A student committee on academic integrity has 132 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? Choose the correct option:
A) 7 B) 8 C) 9 D) 10 E) 12

Solution: xC1 * (x-1)C1= 132   x^2 - x - 132 =0   (X-12) (X+11) = 0   X= 12 , - 11   - 11 can't possible.   Hence 12 should be the answer   12
Answer: E
The average of ten numbers is 8. If each number is multiplied by 12, then what is the average of the new set of numbers? Choose one:
A) 8
B) 12
C) 20
D) 96
E) 120

Solution: The sum of the ten numbers is 8*10= 
8*10 = 80
80   If each number is multiplied by 12, the new sum is 12*(80).   The average is then   12*8= 
  12*8 = 96
96   The answer is 96.
Answer: D
18 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place? Pick one:
A) 144  B) 131  C) 279  D) 90  E) 45

Solution: there are 18 business exec and in each handshake 2 business execs are involved.   hence 18C2=153   Also, each of 18 exec will shake hand with every 7 other chairmen for total of 126 handshake.   total=153+126= 
153+126 = 279
279   ANS: 279
Answer: C
A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?  Pick one:	A) 30	B) 60	C) 40	D) 20	E) 50

Solution: Amount of work done by A and 60 in 1 day = 1/30   Amount of work done by A and 60 in 20 days = 20 × (1/30) = 20/30 = 2/3   Remaining work – 1 – 2/3 = 1/3   A completes 1/3 work in 20 days   Amount of work A can do in 1 day = (1/3)/20 = 1/60   => A can complete the work in 60 days   Answer is 60.
Answer: B
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes? Options:	A) 648	B) 1800	C) 2700	D) 10800	E) None

Solution: Let the number of required bottles be x   machine 6 : 10   Time 1: 4   = :: 270 : x   Therefore 6 x 1 x X = 10 x 4 x 270   => x= (10 x 4 x 270) /(6)   => x = 1800   Answer: Option 1800
Answer: B
The average of six number is x and the average of three of these is y. if the average of the remaining three is z, then : Choose one.
A) x = y+z	B) 2x = y+z	C) x = 2y+2z	D) None of these	E) Cannot be determined

Solution: Solution   Clearly, we have X=(3y+3z/6) or 2x= y + z. Answer 2x = y+z
Answer: B
If taxi fares were $10.00 for the first 1/5 mile and $1.00 for each 1/5 mile there after, then the taxi fare for a 10-mile ride was  Choose the correct choice from the following choices:
A) $55.10	B) $59.20	C) $59.40	D) $59.00	E) $55.00

Solution: In 10 miles , initial 1/5 mile charge is $10   rest of the distance = 10 - (1/5) = 49/5   rest of the distance charge = 49(1.00) = $49.00 (as the charge is 1.00 for every 1/5 mile)   => total charge for 4 miles = 10+49.00= 
10+49.00 = 59
59.00   Answer is $59.00
Answer: D
The positive two-digit integers s and t have the same digits, but in reverse order. Which of the following must be a factor of s + t?
Choose the correct choice from the following
A) 6  B) 9  C) 44  D) 12  E) 14

Solution: Remember: When you take the difference between the two, it will always be 9. e.g 23-32=9, 89-98=9   and when you add both integers, the sum will always be a multiple of 11 e.g 23+32=55, 89+98= 187   44 is multiple of 11   Answer : 44
Answer: C
Find the fraction which has the same ratio to 2/5 that 3/8 has to 1/5	Choose the correct choice from the following:
A) 1/15
B) 3/4
C) 5/8
D) 9/6
E) 8/7

Solution: P : 2/5 = 3/8 : 1/5   As the product of the means is equal to the product of the extremes.   P*1/5 = 2/5 * 3/8   P*1/5 = 6/40   P = 3/4 => P = 3/4   ANSWER:3/4
Answer: B
Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was ? Choose the correct choice from the following
A) Rs.292.50
B) Rs.292.56
C) Rs.292.12
D) Rs.292.27
E) Rs.292.11

Solution: Let the average expenditure be Rs. x Then,   Total money spent = 9x = Rs. (9 x 32.5O) = Rs 292. 50   Rs.292.50nswer: Rs.292.50
Answer: A
How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters ? Choose the correct choice from the following choices:
A) 5^10	B) 5^19	C) 5^18	D) 5^12	E) 5^11

Solution: Explanation:   Each of the 10 letters can be posted in any of the 5 boxes.   So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.   i.e. 5*5*5*….*5 (upto 10 times)   = 5 ^ 10.   5^10nswer: 5^10) 5^10
Answer: A
A trader bought a car at 5% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?	Choose the correct choice from the following answers:
A) 17%
B) 62%
C) 52%
D) 19%
E) 22%

Solution: Original price = 100   52%P = 95   S = 95*(160/100)= 
95*(160/100) = 152
152   100 - 152= 52%   Answer: 52%
Answer: C
A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?  Select the correct option
A) 23 Years	B) 21 Years	C) 20 Years	D) 25 Years	E) 22 Years

Solution: Let present age of the son =x=x years   Then, present age the man =(x+24)=(x+24) years   Given that, in 22 years, man's age will be twice the age of his son   ⇒(x+24)+2=2(x+2)⇒x=22   ANSW22 YearsR:22 Years
Answer: E
When p is divided by 9, the remainder is 5. All of the following are possible values of p, except for which of the following?	Choices.
A) 14
B) 32
C) 50
D) 58
E) 68

Solution: Four of these numbers can be expressed in the form of 9x+5, where x can be 0,1,2,3,4....   However, 58 = 9(6) + 4   The answer is 58.
Answer: D
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 3 days. Find in how many days can C alone do it?  Choose the correct choice from the following answers
A) 8 4/7 days	B) 20 days	C) 16 days	D) 19 days	E) 36 days

Solution: C = 1/3 - 1/4 - 1/5 = 7/60   => 60/7 = 8 4/7 days   8 4/7 daysnswer:8 4/7 days
Answer: A
if each of its sides of a rectangle is increased by 25%, what is the percentage increase in the area of the rectangle, ? Choose the correct choice from the following options:
A) 59.25% B) 58.25% C) 56.25% D) 26.25% E) 51.25%

Solution: Assume original length = 100m by 50m   original area = 100*50= 
100*50 = 5_000
5000   25% increase on each side   l= 100 + 25= 
100 + 25 = 125
125   w= 50 + 12.5= 
50 + 12.5 = 62.5
62.5   new area= 125*62.5= 
125*62.5 = 7_812.5
7812.5   increase in area= 7812.5 - 5000= 
7812.5 - 5000 = 2_812.5
2812.5   %increase=56.25%   Answer 56.25%
Answer: C
The Tens digit of a two digit number is 4 times of its unit digit and the sum of the digits be 10. Then the first number is	Choose the correct choice from the following:
A) 67	B) 73	C) 53	D) 82	E) 89

Solution: Let the number be 10x + y   According to the question   x = 4y   x + y = 10   4y + y = 10   or y = 2   and x = 8   So required number is = 10*8 + 2= 
10*8 + 2 = 82
82   answer :82
Answer: D
After MM students took a test, there was a total of 64% of correct answers. If the test contains 50 questions, what is the least number of questions that the next student have to get right to bring the total of correct answers to 70% ?	Choose the correct choice from the following answers:	A) 3M + 20	B) 3M + 35	C) 4M + 15	D) 4M + 20	E) 4M + 45

Solution: Denote xx as the required number of correct answers. xx must satisfy the equation 0.64∗M∗50+x/50M+50=7/10 or 350M+350=320M+10x or x=3M+35   Answer: 3M + 35
Answer: B
A necklace is made by stringing N individual beads together in the repeating pattern yellow bead, green bead, white bead, red bead, and blue bead. If the necklace design begins with a yellow bead and ends with a white bead, then N could equal
Choose the correct option
A) 65  B) 75  C) 85  D) 68  E) 95

Solution: Recognize that we are going to have to look for an answer thats a multiple of 5, plus 3.   Mutliple of 5 because there are 5 beads in the pattern, and plus 3 because the bead ends on white, which is 3 into the pattern.   I just went through all the answer choices, and only E fits. 5x13 = 65, and   65+3= 
  65+3 = 68
68   Answer : 68
Answer: D
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is?	Choose the correct choice from the following choices:
A) 5320
B) 5328
C) 5336
D) 5340
E) 5342

Solution: Divisor = (5 * 46)= 
(5 * 46) = 230
230= 10 * Quotient = Divisor   => Quotient = 230/10= 
230/10 = 23
23   Dividend= (Divisor * Quotient) + Remainder   Dividend = (230 * 23) + 46= 
(230 * 23) + 46 = 5_336
5336.   5336)
Answer: C
A basketball team plays games only against the other five teams in its league and always in the following order: Croton, Darby, Englewood, Fiennes, and Garvin. If the team’s final game of the season is against Fiennes, which of the following could be the number of games in the team’s schedule? Select.
A) 18 B) 24 C) 56 D) 72 E) 81

Solution: Let "A" as the initial team which have to play against with Croton (C), Darby (D), Englewood (E), Fiennes (F), and Garvin (G);   According to the question, we have a column as below   Game 1st 2nd 3rd 4th 5th (Or final game)   A A A A A   C D E G F (fixed)   There are 4! ways to arrange a game with A - or 24 ways. -----> 24 is a correct answer.
Answer: B