MU-NLPC/Calc-aqua_rat huggingface dataset:
What is the diagonal of a square field whose perimeter is 64m?	Choose one:
A) 15 m
B) 16√2m
C) 20 m
D) 25 m
E) 18 m

Solution: Sol:   Let the side of the square be xm.   Therefore,   4x=64   x=16   Diagonal of the square is= √2*(16)^2=16√2   Answer: 16√2m
Answer: B
find value for x from below equation? x + 1 = 5 Choose one:
A) -5
B) -4
C) 4
D) 3
E) 2

Solution: 1. Subtract 1 from both sides:   x + 1 - 1 = 5 - 1   2. Simplify both sides:   x = 4   4
Answer: C
A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
Pick
A) 4/19	B) 7/19	C) 12/19	D) 21/95	E) None

Solution: Solution   P( None is defective)   = 16C2 / 20C2   = (16x15/2x1 ×2x1/20x19)   = 12/19.   P( at least one is defective)   = (1- 12/19)   = 7/19.   Answer 7/19
Answer: B
If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 21?
Choose the correct choice:
A) 1	B) 2	C) 3	D) 4	E) 5

Solution: @(n) = 5n - n   We need to find the largest positive integer such that 5n - n < 21.   Then 4n < 21 and n < 5.25.   The largest possible integer is n = 5.   The answer is 5.
Answer: E
Find the L.C.M of the fractions 2/7 , 5/14, and 4/21  Choices.
A) 1 1/7
B) 3 4/7
C) 2 4/7
D) 2 6/7
E) 2 7/7

Solution: Explanation:   L.C.M = L.C.M of numerator/ H.CF of denominator   L.C.M = L.C.M of 2,5,4 / H.C.F of 7, 14, 21,   L.C.M = 20/7,   L.C.M = 2 6/7   Answer: Option 2 6/7
Answer: D
A fruit seller had some apples. He sells 35% and still has 6500 apples. Originally, he had ?
Select
A) 650apples B) 600 apples C) 772 apples D) 700 apples E) None

Solution: Answer   âˆµ 65% of N = 800   âˆ´ N = (650 x 100)/65 = 1000   Correct Option: None
Answer: E
10% of the inhabitants of village having died of cholera.,a panic set in , during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.  Choose the correct choice from the following options.
A) 5000  B) 6000  C) 56000  D) 6500  E) 7000

Solution: Let the total number of orginal inhabitants be x.   ((75/100))*(90/100)*x)=4050  (27/40)*x=4050   x=((4050*40)/27)= 
((4050*40)/27) = 6_000
6000.   ANSWER 6000
Answer: B
A candidate appearing for an examination has to secure 55% marks to pass paper I. But he secured only 45 marks and failed by 25 marks. What is the maximum mark for paper I?  Select the correct option:  A) 127  B) 120  C) 130  D) 140  E) 150

Solution: he secured 45 marks nd fail by 25 marks so   total marks for pass the examinatn=70   let toal marks x   x*55/100=70   x=127   127NSWER:127
Answer: A
A can do a piece of work in 15 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?  Select
A) 11 6/7days
B) 12 6/7days
C) 13 6/7days
D) 14 6/7days
E) 15 6/7days

Solution: 8/15 + 6/x = 1   X = 12 6/7days   ANSWER:12 6/7days
Answer: B
The fourth proportional to 10, 14 and 18 is? Choices
A) 12 B) 13 C) 10 D) 18 E) 15

Solution: (10*18)/12= 
(10*18)/12 = 15
15   ANSW15R:15
Answer: E
What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 8), (x, 8)? Select the correct option.
A) 81 B) 144 C) 196 D) 225 E) 625

Solution: To find the area of a square, knowing the length of one side is sufficient.   From the coordinates given, we can see that one side equals 12.   The area is 12*12= 
12*12 = 144
144.   The answer is 144.
Answer: B
Rs. 2780 are invested partly in 4% stock at 75 and 5% stock at 80 to have equal amount of incomes. The investment in 5% stock is: Choose the correct answer:
A) 1200  B) 1500  C) 1280  D) 1300  E) 1600

Solution: Investment Rs 2780   stock - 4% 75 5% at 80%   req 5% stock is -- 1280   ANSWER 1280
Answer: C
A sum of Rs.3000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. Select: A) 2888 B) 3120 C) 2877 D) 2999 E) 1950

Solution: Let A be the amount received at the end of the three years.   A = 3000[1 + 10/100][1 + 20/100][1 + 25/100]   A = (3000 * 11 * 6 * 5)/(10 * 5 * 4)   A = Rs.4950   So the interest = 4950 - 3000 = Rs.1950   Answer: 1950
Answer: E
If 17,777 – n is divisible by 11, and 0 < n < 11, what is n?  Choose the correct answer
A) 1  B) 3  C) 5  D) 7  E) 9

Solution: 17,777 / 11 = 1616 with a remainder of 1.   We need to subtract the remainder to get a multiple of 11.   The answer is 1.
Answer: A
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Choices:  A) 9.1  B) 9.0  C) 9.3  D) 9.2  E) 9.7

Solution: Explanation:   Milk = 3/5 * 20= 
3/5 * 20 = 12
12 liters, water= 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6= 
12 - 6 = 6
6 liters   Remaining water= 8 - 4= 
8 - 4 = 4
4 liters   10 liters of pure milk are added, therefore total milk= (6 + 10)= 
(6 + 10) = 16
16 liters.   The ratio of milk and water in the new mixture= 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 * 10= 
4/5 * 10 = 8
8 liters.   Amount of water removed= 2 liters.   Remaining milk = (16 - 8)= 
(16 - 8) = 8
8 liters.   Remaining water= (4 -2)= 
(4 -2) = 2
2 liters.   The required ratio of milk and water in the final mixture obtained= (8 + 10):2 = 18:2 = 9:1.   9.1nswer: Option 9.1
Answer: A
Find the greatest number that will divide 48, 210 and 136 leaving 4, 12 and 4 as remainders respectively
Choose the correct choice from the following options.
A) 19
B) 17
C) 13
D) 22
E) 21

Solution: Explanation:   Answer will be HCF of (48-4, 210-12, 136-4)   HCF of (44, 198, 132) = 22   Option 22
Answer: D
3,7,12,18,..............5th terms  Choose one:
A) 43	B) 53	C) 63	D) 65	E) 25

Solution: 3+4= 
3+4 = 7
7   7+5= 
7+5 = 12
12   12+6= 
12+6 = 18
18   18+7= 
18+7 = 25
25   ANSW25R:25
Answer: E
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 120 sq. feet, how many feet of fencing will be required? Choose the correct choice from the following answers:  A) 34  B) 40  C) 68  D) 88  E) 32

Solution: We have: l = 20 ft and lb = 120 sq. ft.   So, b = 6 ft.   Length of fencing = (l + 2b) = (20 + 12)= 
(20 + 12) = 32
32 ft.   ANSW32R:32
Answer: E
Health insurance Plan P requires the insured person to pay $600 but then the insurance pays 70% of the cost over $600. Plan Q requires the insured to pay the initial $400, but then pays 60% of the cost over $400. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choices: A) $1200 B) $1400 C) $1600 D) $1800 E) $2000

Solution: 0.7(x-600)=0.6(x-400)   0.1x=420-240   x=1800   The answer is $1800.
Answer: D
9548 + 7314 = 4362 + (?)
Select:
A) 8300
B) 8400
C) 12500
D) 8700
E) 9000

Solution: 9548 16862 = 4362 + x   + 7314 x = 16862 - 4362   ----- = 12500   16862   -----   12500)
Answer: C
Tom started a new grocery store business. During his first month he bought groceries for $650$650 and sold them for $800$800, while in the second month he bought with $800$800 and sold for $1200$1200. We need to know if Tom made more profit or not and profit or loss percentage Choose the correct choice
A) 50 % loss B) 50% Profit C) 40 % loss D) 60 % Profit E) None

Solution: Solution:   We cannot directly tell from these numbers if Tom's profit is increasing or not since his spending and gain are different amounts each month. In order to solve this problem we need to refer all the values to a fixed base value which is 100. Let us express the percent of his profit with respect to his expenditure for the first month:   (800 - 650) ÷ 650 ⋅ 100 = 23.08%   This means that, if Tom spent $100, he would have made a profit of 23.08 in the first month.   Now, let us apply the same for the second month:   (1200 - 800) ÷ 800 ⋅ 100 = 50%   So, for the second month, if Tom spent $100$100 he would have made a profit of $50$50(because $100⋅50%=$100⋅50÷100=$50$100⋅50%=$100⋅50÷100=$50). Now it is clear that Tom's profits are increasing.   Answer 50% Profit
Answer: B
Sarah's grade was 50th percentile of the 20 grades for her class. Of the 30 grades from another class, 10 were higher than Sarah's, and the rest were lower. If no other grade was the same as Sarah's grade, then Sarah's grade was what percentile of the grades of the two classes of two classes combined?  Select
A) 52nd	B) 56th	C) 60th	D) 70th	E) 82nd

Solution: 52nd/56th/60th/70th/82nd   60thorrect option: 60th
Answer: C
eleven family members: 5 grandchildren (3 brothers and 2 sisters) and their 6 grandparents are to be seated around a circular table. How many different seating arrangements are possible so that 2 sisters are seated between any two of the three brothers? Pick:
A) 120	B) 60480	C) 1440	D) 2880	E) 8640

Solution: Answer: 60480.
Answer: B
In a car wheel, four spokes cover 40 degree. Then for the entire car,how many spokes are there?
Choose one:	A) 120	B) 144	C) 158	D) 200	E) 328

Solution: given, 4 spokes cover 40degrees,   so for 360 degrees.---->360*4/40=36..   so, for entire car, 4*36=144   ANSWER:144
Answer: B
A pipe can empty 2/3rd of a cistern in 10mins. In 8 mins, what part of the cistern will be empty?
Select.
A) 2/3
B) 3/7
C) 8/15
D) 3/8
E) 4/7

Solution: 2/3 ---- 10   ? ----- 8 ==> 8/15   8/15
Answer: C
In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 200 vote’s majority. What is the total number of votes polled?	Pick:	A) 750	B) 500	C) 800	D) 850	E) None of these

Solution: Explanation:   Note: majority (40 %) = difference in votes polled to win (70 %) & defeated candidates (30 %)   40 % = 70 % - 30 %   40% -----> 200 (40*5 = 200)   100% -----> 500 (100*5 = 500)   Answer: Option 500
Answer: B
If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 2.  Pick one: A) 8 B) 5 C) 11 D) 3 E) 4

Solution: 6 * 15 * 2 = (√(6 + 2)(15 + 3) )/ (2 + 1)   = (√8 * 18) / 3   = (√144) / 3   = 12 / 3= 
12 / 3 = 4
4.   Answer is 4
Answer: E
A cab on its way to Bangalore overtakes an auto also going in the same direction at 11 am. The cab reaches Bangalore at 1.30 pm and starts the return journey after taking a break of 1 hour. On its way back it meets the auto at 3 pm. At what time will the auto reach Bangalore?	Options:
A) 3 p.m.
B) 3.30 p.m.
C) 5 p.m
D) 4 p.m
E) 5 p.m

Solution: Explanation:   The time interval is shown below with an interval of half hour.   11 am ------- 11:30 ------- 12 ------- 12:30 ------- 1-------1:30   At 11 the cab overtakes the auto and reaches Bangalore at 1:30. Hence, the cab travels 5 segments in two and a half hour assuming the cab to be travelling at constant   speed.   On its way back, the cab commences its journey at 2:30 and meets the auto at 3 p.m. In half an hour the cab travels one segment and hence the auto in one segment away   from Bangalore.   Therefore, the auto travels 4 segments from 11 am to 3 pm assuming it to be travelling at a constant speed. Hence, the speed of auto is  4/4= 
 4/4 = 1
1 segment per hour.   As the auto is one segment away from Bangalore, it will take another 1 hour for the auto to reach Bangalore and hence the auto will reach Bangalore at 4 p.m.   ANSWER: 4 p.m
Answer: D
The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Steve and Dennison have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?  Choose the correct choice from the following answers.
A) $0.32	B) $0.40	C) $0.45	D) $0.48	E) $0.54

Solution: If Steve and Dennison submit separate orders, each would be smaller than 100 photocopies, so no discount. Each would pay (80)*($0.02) = $1.60, or together, a cost of $3.20 --- that's the combined no discount cost.   If they submit things together as one big order, they get a discount off of that $3.20 price ---- 25% or 1/4 of that is $0.80, the discount on the combined sale. They each effective save half that amount, or $0.40. Answer  (80)*( 0.02)= 
 (80)*( 0.02) = 1.6
$1.60, or together, a cost of $3.20 --- that's the combined no discount cost.   If they submit things together as one big order, they get a discount off of that $3.20 price ---- 25% or 1/4 of that is $0.80, the discount on the combined sale. They each effective save half that amount, or $0.40. Answer=($0.40).
Answer: B
The equation (M +)/36 = (p – 7)/21 relates two temperature scales, where M is the number of degrees on one scale and P is the number of degrees on the other scale. Which of the following equations can be used to convert temperatures from the P scale to the M scale?	Choices: A) (P-7)*12/7 B) (P-7)*13/7 C) (P-7)*15/7 D) (P-7)*16/7 E) (P-7)*17/7

Solution: M/36 =(P-7)/21   M = (P-7)*36/21   =(P-7)*12/7   (P-7)*12/7
Answer: A
An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square? Choose one.
A) 2292 B) 2298 C) 2788 D) 2662 E) 2998

Solution: Explanation:   By selling Rs. 100 stock , cash realised =   By selling Rs. 2400 stock, cash realised = = Rs 2298.   Answer: 2298) 2298
Answer: B
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?  Choose the correct choice from the following answers:	A) 107%	B) 180%	C) 100%	D) 140%	E) 109%

Solution: MP = 100   100%P = 75   SP = 150   ------   75 ---- 75   100 ---- ? => 100%   Answer:100%
Answer: C
A boy has 9 trousers and 20 shirts. In how many different ways can he select a trouser and a shirt?	Options
A) 180  B) 102  C) 104  D) 108  E) 110

Solution: The boy can select one trouser in nine ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 20= 
  9 * 20 = 180
180 ways.   180
Answer: A
If a-b= 9 and a^2+b^2=281, find the value of ab Choose the most appropriate option
A) 100
B) 12
C) 15
D) 18
E) 19

Solution: 2ab = (a^2 + b^2) - (a - b)^2   = 281 - 81= 
281 - 81 = 200
200=> ab = 100   100NSWER:100
Answer: A
An error 5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:  Choose the correct option:
A) 10.01 B) 9.25 C) 10.25 D) 8.25 E) 6.25

Solution: Explanation:   100 cm is read as 105 cm.   A1 =(100 × 100)cm2 = 10000   and A2= (105 × 105)cm2= 10816   (A2 - A1) = 11025-10000= 
11025-10000 = 1_025
1025=> 1025/10000*100= 
1025/10000*100 = 41/4 = around 10.25
10.25   Answer : 10.25
Answer: C
How many 7's are present in the following sequence of numbers which are both preceded and followed by perfect square numbers ?
8 6 3 7 9 7 4 3 6 9 7 2 1 7 4 9 5 2 5 4 7 9 5 2 9 7 1 4 7 1	Pick one
A) 5
B) 6
C) 7
D) 8
E) 0

Solution: Explanation:   8 6 3 7 9 7 4 3 6 9 7 2 1 7 4 9 5 2 5 4 7 9 5 2 9 7 1 4 7 1   5NSWER:5
Answer: A
Tom, who has 50 math questions, will get 6 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 3 points per question. Then, which of the following can be the score if he solves all the 50 questions?  Choose the correct choice from the following answers:	A) 192	B) 193	C) 194	D) 195	E) 196

Solution: Let x be the correctly answered questions. y be the wrongly answered/ skipped ones.   We have x + y = 50;   Score = 6x-3y   3x+3y = 150; 6x-3y = Score;   ==> 9x = 150+Score;   check for answer choices where 150+Score is divisible by 9   Choice (192) 192 fits the equation !
Answer: A
If y exceeds x by 40%, then x is less than y by? Choose the correct option:  A) 16 2/9%  B) 16 3/3%  C) 16 2/3%  D) 12 2/3%  E) 28 4/7%

Solution: X=100	y=140   140------40   100-------? => 28 4/7%   Answer:28 4/7%
Answer: E
If 8 Men or 10 Women take 8 days to complete some work, how many days will 10 Men and 6 Women working together take to complete the work?
Can anyone explain please? Choices:  A) 1. 3/2 days  B) 2. 2 Days  C) 3. 9/4 days  D) 4.5/2 days  E) 5.64/37 days

Solution: 8 men or 10 women takes 6 days to complete the work   So 8M = 10W   W = 4/5M   1 man in 1 day does 1 unit of work   so 8 M in 8 M = 64 units of work   now 10 M and 6 W = 10 M + 6(4/5)M   = 10M + 24M/5   = 37M   Since both set do the same work   37M in n Days = 64 units of work   n = 64/37 days.   5.64/37 days
Answer: E
The length of the rectangular field is double its width. Inside the field there is square shaped pond 6m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Pick one
A) 24	B) 32	C) 75	D) 28	E) 11

Solution: 24/8 = 6 * 6 => 24 = 6 * 6 * 8   x * 2x = 6 * 6 * 8   x = 12 => 2x = 24   24nswer:24
Answer: A
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?
Choices:  A) 7 1/9  B) 7 1/8  C) 7 1/3  D) 7 1/2  E) 7 1/1

Solution: 70 + 50= 
70 + 50 = 120
120 * 5/18= 100/3 mps   7 1/2 = 150 + 100= 
150 + 100 = 250
250 m   T= 250 * 3/100 = 15/2 = 7 1/2 sec   Answer:7 1/2
Answer: D
For the positive integers x, x + 2, x + 4, x + 7, and x + 27, the mean is how much greater than the median?	Choose the correct answer: A) 0 B) 1 C) 2 D) 4 E) 7

Solution: Mean = (x + x+2 + x+4 + x+7 + x+27)/5   =(5x+40)/5   =x+8   Median = x+4   Thus Mean - Median = x+8 - (x+4)   =4   Answer +8 - ( +4)= 
+8 - ( +4) = 4
4   Answer= 4
Answer: D
What sum of money put at C.I amounts in 2 years to Rs.8000 and in 3 years to Rs.9261?	Choose the correct answer
A) 5969.72	B) 8877.72	C) 2877.72	D) 2678.72	E) 1011.72

Solution: 8000 ---- 1261   100 ---- ? => 15.76%   x *115.76/100 * 115.76/100 = 8000   x*1.34=8000   x=8000/1.34 =>5969.72   5969.72nswer: 5969.72
Answer: A
If the time is currently 1:30pm, what time will it be in exactly 650 hours?	Pick one.
A) 12:30am B) 1:30am C) 12:30pm D) 2:30pm E) 3:30pm

Solution: Every 24 hours will bring us to the same 1:30pm. 648 is divisible by 24 (27*24=648), so if it were 648 hours we would have 1:30pm, but since it's 649 hours then it will be 2 hour more, so 3:30pm.   Answer: 3:30pm.
Answer: E
A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is  Select the correct option:  A) 2  B) 3  C) 4  D) 5  E) 6

Solution: 7P+5W= 38   As P and W are integers, only possible value of P is 4.   ANSWER:4
Answer: C
What is the remainder when 15487^(62177037) is divided by 5?
Choose the correct choice.
A) 0
B) 1
C) 2
D) 3
E) 4

Solution: We need to find the units digit of the number.   The units digit of powers of seven repeats 7, 9, 3, and 1 cyclically.   Since 62177037 has the form 4a+1, the units digit is 7.   Then the remainder when dividing by 5 is 2.   The answer is 2.
Answer: C
Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1305 as rent for parking his cars, what is the total rent paid by all the four agencies? Choose the most appropriate option:
A) Rs. 4500 B) Rs. 4800 C) Rs. 5250 D) Rs. 7134 E) None of these

Solution: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15   = 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60   Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.   The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k   It is given that A paid Rs. 1305   45k 45  + 60  + 81  + 60= 
45  + 60  + 81  + 60 = 246
246k   It is given that A paid Rs. 1305   45k= 1305 => k = 29   246k = 246(29) = Rs. 7134   Thus the total rent paid by all the four agencies is Rs. 7134.   ANSWER:Rs. 7134
Answer: D
The number of stamps that P and Q had were in the ratio of 9:2 respectively. After P gave Q 33 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 6:5. As a result of the gift, P had how many more stamps than Q?  Answers
A) 11	B) 33	C) 45	D) 67	E) 80

Solution: P started with 9k stamps and Q started with 2k stamps.   (9k-33)/(2k+33) = 6/5   45k - 12k = 178 + 165   33k = 343   k = 11   P has 9(11) - 33 = 66 stamps and Q has 2(11)+33 = 55 stamps.   The answer is 11.
Answer: A
Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity T for the round trip? Choose one:
A) 24 miles per hour	B) 48 miles per hour	C) 50 miles per hour	D) 53 1/3 miles per hour	E) 68 miles per hour

Solution: Here's an Average Speed question in which the prompt gives you almost all of the immediate numbers needed to work with.   Driving from LA to SD, we have a distance of 120 miles and a speed of 40 miles/hour.   D = (R)(T)   120 = (40)(T)   120/40= 
120/40 = 3
3= T   3 hours to drive to SD   On the way back, she drives 50% FASTER. Gill's return speed is (1.5)(40) = 60 miles/hour.   D = (R)(T)   120 = (60)(T)   120/60= 
120/60 = 2
2= T   2 hours to drive to SD   Total Distance = 240 miles   Total Time = 3+2= 
3+2 = 5
5 hours   Average Speed= 240/5= 
240/5 = 48
48 miles/hour   Final Answer:   48 miles per hour
Answer: B
Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 6 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?  Choose the correct answer:
A) 1/3
B) 2/5
C) 3/7
D) 1/2
E) 4/7

Solution: The time from beginning of March to the end of September is 7 months.   If x is the average monthly tip for all months other than August then his August month tip will be 6*x   His total tip for the 7 months = 6*(average tip for the months other than August) + 6x   =12x   August tips as a fraction of total tips = 6x/12x =1/2. So 1/2
Answer: D
A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Pick one
A) 7%	B) 5%	C) 2%	D) 1%	E) 6%

Solution: 3 --- 1725   5 --- 1875   --------------   2 --- 150   N = 1 I = 75 R = ?   P = 1725 - 225= 
1725 - 225 = 1_500
1500   75= (1500*1*R)/100   R = 5%   Answer:5%
Answer: B
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?	Choose the most appropriate option:
A) 22
B) 77
C) 70
D) 98
E) 71

Solution: A + B = 60, A = 2B   2B + B = 60 => B = 20 then A = 40.   5 years, their ages will be 45 and 25.   Sum of their ages = 45 + 25= 
45 + 25 = 70
70.   Answer: 70
Answer: C
Raja buys 100 shares of par value Rs. 15 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.
Select:
A) 2
B) 4
C) 5
D) 6
E) 18

Solution: Face value of each share = Rs.15   Total dividend received by Raja= 100Ã—15Ã—12/100 = Rs.180   Let market value of 100 shares = Rs.x   xÃ—10/100=180   x =1800   ie, Market value of 100 shares = Rs.1800   Hence, Market value of each share = Rs.18   Answer is 18
Answer: E
Sn = n^2 + 5n + 94 and K = S6 – S5 - S4 + S3 + S2 – S1. What is the value of K? Choose the correct choice:
A) 12 B) 50 C) 45 D) 41 E) 36

Solution: I used brute force for this question:   S6: 36+30+94=160   S5: 25+25+94=144   S4: 16+20+94=130   S3: 9+15+94=118   S2: 4+10+94=108   S1: 1+5+94=100   S6-S5-S4+S3+S2-S1= 16-12+8= 
16-12+8 = 12
12   12nswer 12
Answer: A