MU-NLPC/Calc-aqua_rat huggingface dataset:
P,Q and R started a business in which P invested Rs.10,000/- for 2year, Q invested Rs.20,000/- for 3 years, R invested Rs.30,000/- for 4 years. At the end of the profit received by them is Rs.10,000/-. What is Q’s share? Choose the correct choice from the following choices
A) Rs. 2,500  B) Rs. 2,000  C) Rs. 1,000  D) Rs. 1,500  E) Rs. 3,000

Solution: Solution: A : B : C = (10,000 * 2) : (20,000 * 3) : (30,000 * 4) = 1 : 3 : 6.   So Q's share = Rs. (10,000 * 3/10) = Rs. 3,000.   Answer: Option Rs. 3,000
Answer: E
When a certain number X is divided by 63, the remainder is 25. What is the remainder when X is divided by 8? Choices:
A) 1
B) 3
C) 4
D) 5
E) 6

Solution: When a certain number X is divided by 63, the remainder is 25. What is the remainder when X is divided by 8?   Putting a value say x = 255 we get remainder as 25 when divided by 63.   When 25 divided by 8 we get 1 as remainder.   1 is the answer.
Answer: A
In a race of length L metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
Choose the correct choice from the following:
A) L(L-N) / L-M B) M+ C) L-N D) M-N E) L(N-M)/ L-M

Solution: For my work, i took the following numbers:   L = 100   M = 10   N =20.   So basically, L beat G by 10 meters. Now whatever options comes close to the figure 10 is the right ans..   looking the the opion C to E, one can make out that they are incorrect, leaving us with just two options..A and B.   Out of which, i choose L(N-M)/ L-M.
Answer: E
John throws a coin until a series of three consecutive heads or three consecutive tails appears. What is the probability that the game will end after the fourth throw?
Answers
A) 1/16
B) 2/16
C) 3/16
D) 7/16
E) 9/16

Solution: Let's consider the routes that would lead to ending the game on the fourth toss. In order to be a win at that point, tosses #2 & #3 & #4 would all have to be the same, either H or T, and in order for the game NOT to end on the third toss, the first toss would have to be different from the other four. Thus, the only two possible sequences are   H-T-T-T ----> P = (1/2)^4 = 1/16   T-H-H-H ----> P = (1/2)^4 = 1/16   Either one of these would satisfy the condition, so we could have one or the other. OR means add in probability.   1/16 + 1/16 = 2/16   Answer (2/16).
Answer: B
How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choose the correct choice from the following options
A) 2 B) 4 C) 6 D) 8 E) 10

Solution: 264 is divisible by 3, 4 and 11   => 264 is divisible by 132   396 is divisible by 3, 4 and 11   => 396 is divisible by 132   462 is divisible by 3 and 11, but not divisible by 4   => 462 is not divisible by 132   792 is divisible by 3, 4 and 11   => 792 is divisible by 132   968 is divisible by 4 and 11, but not divisible by 3   => 968 is not divisible by 132   2178 is divisible by 3 and 11, but not divisible by 4   => 2178 is not divisible by 132   5184 is divisible by 3 and 4, but not divisible by 11   => 5184 is not divisible by 132   6336 is divisible by 3, 4 and 11   => 6336 is divisible by 132   Hence, only 264, 396 ,792 and 6336 are divisible by 132. So the answer is 4   4)
Answer: B
Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 5000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995? Choose the correct option.
A) 100000 B) 100500 C) 105000 D) Data inadequate E) None of these

Solution: Let the investment of X in 1995 be x.   ∴ Profit = x⁄5   ∴ Income = (x + x⁄5) = 6⁄5x   Investment of company X in 1996 would be (x – 5000) From the question,   (x - 500) × 126⁄100 = 6⁄5x ⇒ x = 105000   Answer 105000
Answer: C
A man has some hens and cows. If the number of heads be 44 and the number of feet equals 128, then the number of hens will be	Choose the correct choice from the following.
A) 22	B) 24	C) 26	D) 20	E) 28

Solution: Explanation :   Let number of hens = h and number of cows = c   number of heads = 44   => h + c = 44 ---(Equation 1)   number of feet = 128   => 2h + 4c = 128   => h + 2c = 64 ---(Equation 2)   (Equation 2) - (Equation 1) gives   2c - c = 64 - 44   => c = 20   Substituting the value of c in Equation 1, we get   h + 22 = 44   => h = 44 - 20= 
44 - 20 = 24
24   i.e., number of hens= 24   Answer : 24
Answer: B
The average of 11 results is 20. The average of first 5 of them is 15 and that of last 5 is 22 . Find the 6th result?
Choose the correct choice from the following:	A) 35	B) 50	C) 100	D) 120	E) 150

Solution: 6th result = sum of 11 results - sum of 10 results   = 11*20-5*15-5*22   = 220-75-110= 
220-75-110 = 35
35   35nswer is 35
Answer: A
The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 30%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
Select the correct option:
A) 20% B) 24% C) 30% D) 32% E) 79%

Solution: take it as original output =100.   to meet demand increase by 10%, then output=110.   to meet holiday demand , new output increase by 30% then output equals 143   To restore new holidy demand output to original 100.   final -initial/final*100   =43/143*100=30% approxiamately.   option 30% is correct.
Answer: C
Three taps A, B and C can fill a tank in 24, 30 and 40 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in :	Choose the correct option
A) 8 hours  B) 10 hours  C) 14 hours  D) 16 hours  E) 18 hours

Solution: (A+B)'s 1 hour's work = (1/24 + 1/30) = 9/120 = 3/40.   (A+C)'s 1 hour's work = (1/24 + 1/40) = 8/120 = 2/30.   Part filled in 2 hours = (3/40 + 2/30) = 17/120.   Part filled in 12 hours = (6 * 17/120) = 17/20.   Remaining part = (1 - 17/20) = 3/20.   now, it is the time of A and B and 3/20 part is filled by A and B in 1 hour, then, 3/40 part will filled in 2 hours.   .'. total time taken to fill the tank = (12 + 2)= 
(12 + 2) = 14
14 hours Answer : 14 hours
Answer: C
If a and b are positive integers such that a/b = 4.37, which of the following must be a divisor of a?	Choose the correct choice from the following.
A) 19 B) 13 C) 12 D) 7 E) 17

Solution: 1) A and B are positive INTEGERS   2) A/B = 4.37   A = 437   B = 100   437/100= 
437/100 = 437/100 = around 4.37
4.37   These values are the smallest values as 437 is neither divisible by 5 or 2, the factors of 100.   The value of B is irrelevant to the question. We're asked for what MUST divide into A....   Since A is a multiple of 437, we have to 'factor-down' 437. This gives us (19)(23). So BOTH of those integers MUST be factors of A. You'll find the match in the answer choices.   19nswer: 19
Answer: A
In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 12% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?  Answers:
A) 22%	B) 23%	C) 24%	D) 25%	E) 34%

Solution: Since 12% of the customers who sample the candy are not caught, then 88% of the customers who sample the candy are caught:   {% of customers who sample candy}*0.88 = 0.22;   {% of customers who sample candy} = 0.25.   Answer: 25%.
Answer: D
A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 200. Find the total worth of the stock?  Choose one:
A) 20029  B) 20000  C) 10000  D) 20027  E) 20026

Solution: Let the total worth of the stock be Rs. x.   The SP of 20% of the stock = 1/5 * x * 1.1 = 11x/50   The SP of 80% of the stock = 4/5 * x * 0.95 = 19x/25 = 38x/50   Total SP = 11x/50 + 38x/50 = 49x/50   Overall loss = x - 49x/50 = x/50   x/50 = 200 => x = 10000   Answer: 10000
Answer: C
A is B's sister. C is B's mother. D is C's father. E is D's mother. Then, how is A related to D?
Choose the correct answer
A) Grandfather B) Daughter C) Grandmother D) Granddaughter E) SISTER

Solution: A is the sister of B and B is the daughter of C.   So, A is the daughter of C. Also, D is the father of C.   So, A is the granddaughter of D.   Answer: Granddaughter
Answer: D
In the diagram shown, the number of rectangles of all
sizes is
Choose the correct choice from the following.
A) 11  B) 15  C) 7  D) 13  E) 9

Solution: We systematically count rectangles by searching for groups of rectangles that are of similar size.   The largest rectangles in the diagram are all roughly the same size and overlap in pairs.   There are 3 of these; each is shaded black and shown below   Rectangle 2 (shown above) consists of 4 small rectangles.   We shade these rectangles black and label them 4; 5; 6; 7, as shown below   Together, Rectangle 4 and Rectangle 5 (shown above) create Rectangle 8, shown below.   Similarly, Rectangle 6 and Rectangle 7 together create Rectangle 9, shown below.   Finally, Rectangle 4 and Rectangle 6 (shown above) together create Rectangle 10, shown below.   Similarly, Rectangle 5 and Rectangle 7 together create Rectangle 11, shown below.   There are no other rectangles that can be formed.   In total, there are 11 rectangles in the given diagram.   correct answer 11
Answer: A
Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 5% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above? Choose the correct choice:
A) 5%
B) 10%
C) 15%
D) 25%
E) 35%

Solution: 60-(x+5+z) + 50-(x+5+y) + 35-(z+5+y) + x + +y + z +5 = 100   where x = people who bought MilkChicken   y = people who bought chickenApples   z= people who bought Milk and Apples   x+y+z= the number of people who bought just exactly two products.   Hence solving the above equation we get,   135 -(x+y+z) = 100   Thus, x+y+z= 35   Answer: 35%
Answer: E
If one-third of one fourth of a number is 15, then three-tenth of that number is:  Choose the correct choice from the following answers.
A) 35	B) 25	C) 45	D) 54	E) 52

Solution: Let the number be x. Then,   1/3 of 1/4 of x = 15   x = 15 * 12= 
15 * 12 = 180
180   So, required number= (3/10 * 180)= 
(3/10 * 180) = 54
54.   ANSWER:54
Answer: D
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?  Choose the correct choice from the following choices
A) 2.5 sec	B) 2.9 sec	C) 1.3 sec	D) 2.9 sec	E) 1.8 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.   2.5 secnswer:2.5 sec
Answer: A
If the cp of 12 rubbers is equal to the sp of 8 rubbers, the gain %is ?  Choose the most appropriate option:
A) 30%
B) 40%
C) 50%
D) 70%
E) 80%

Solution: (Explanation:Friends, we know we will need gain amount to get gain percent, right.   So lets get gain first.   Let the cost price of 1 pen is Re 1 50%ost of 8 pens = Rs 8 Selling price of 8 pens = 12   Gain = 12 - 8= 
12 - 8 = 4
4 Gain%=(Gain50%ost*100)%=(48*100)%=50%   50%
Answer: C
Today is Monday. After 29 days, it will be : Select:	A) Tuesday	B) Saturday	C) Monday	D) Sunday	E) Wednesday

Solution: Each day of the week is repeated after 7 days.   So, after 28 days, it will be Monday   Tuesdayfter 29 days, it will be Tuesday   Tuesdaynswer is Tuesday
Answer: A
A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 36 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up	Choose the correct choice from the following choices:
A) 6 2/3
B) 15
C) 20
D) 25
E) 40

Solution: Here is how I did it:   The cyclist travels 36 miles in 60 mins, so in 5 mins he will travel [(36*5)/60] miles, which equals 3 miles in 5 mins.   Now the hiker travels 4 miles in 60 mins. To travel 3 miles, he will take [(60*3)/4= 
(60*3)/4 = 45
45 mins.   Hence 45-5= 
45-5 = 40
40 mins   40
Answer: E
Pipe A can fill a tank in 4 hours, pipe B in 12 hours and pipe C in 40 hours. If all the pipes are open, in how many hours will the tank be filled ? Choose the most appropriate option:
A) 2.8 hours
B) 2 hours
C) 3.5 hours
D) 3 hours
E) None of these

Solution: Explanation:   Part filled by A in 1 hour = 1/4   Part filled by B in 1 hour = 1/12   Part filled by C in 1 hour = 1/40   Part filled by (A+B+C) in 1 hour =   1/4+1/12+1/40=43/120   So all pipes will fill the tank in 2.8 hours.   Option 2.8 hours
Answer: A
Two letters from the word FARTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?
Two letters from the word FARTHING are selected at random. What is the probability that at least one of the selected letters is a consonant?  Options:
A) 1/500 B) 1/28 C) 27/28 D) 124/125 E) 499/500

Solution: There are 6 consonants and 2 vowels in FARTHING.   probability that at least one of the selected letters is a consonant = 1 - (Probability of both vowels)   Probability of both vowels = 227/282/827/282 = 1/28   So, Answer is 1 - 1/28 = 27/28 ------> 27/28.
Answer: C
A cube of edge 15cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?  Select the correct option
A) 6cm  B) 8.25cm  C) 11.25cm  D) 15.12cm  E) 20.62cm

Solution: Increase in volume = volume of the cube = 15*15*15 cm^3   Rise in water level = volume / area = 15*15*15/20*15 = 11.25cm   Answer is 11.25cm
Answer: C
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?	Choose the correct choice from the following options
A) 226  B) 992  C) 665  D) 771  E) 211

Solution: (800*3*3)/100= 
(800*3*3)/100 = 72
72   920 + 72= 
920 + 72 = 992
992   Answer: 992
Answer: B
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 6 m, the volume of the box (in m3) is:  Answers:  A) 4830  B) 5184  C) 6420  D) 8960  E) 7960

Solution: Clearly, l = (48 - 12)= 
(48 - 12) = 36
36 m,   b= (36 -12)= 
(36 -12) = 24
24 m,   h= 8 m.   Volume of the box = (36 x 24 x 12) m3 = 5184 m3. Answer: Option 5184
Answer: B
Two people are playing with a pair of dice. Instead of numbers, the dice have different colors on their sides. The first person
wins if the same color appears on both the dice and the second person wins if the colors are different. The odds of their winning
are equal. If the first dice has 5 red sides and 1 blue side, find the colour(s) on the second one. Choose the correct answer
A) 12
B) 2
C) 3
D) 4
E) 7

Solution: Let no of red sides in second dice = x   No of blue sides = 6-x   Now since their odds are equal   (5/6)X(x/6)+(1/6)X((6-x)/6)=(5/6)X((6-x)/6)+(1/6)X(x/6)   =>x=3   So No. of red and blue faces on second dice will be equal i.e. 3   ANSWER:3
Answer: C
When the integer k is divided by 7, the remainder is 4. Which of the following expressions below when divided by 7, will have a remainder of 5?
I. 4k + 3
II. 6k + 2
III. 8k + 4  Choose the correct choice
A) I only  B) II only  C) III only  D) I and II only  E) I, II and III

Solution: k = 7j + 4   4k + 3 = 28j + 16 + 3 = 28j + 14 + 5   6k + 2 = 42j + 24 + 2 = 42j + 21 + 5   8k + 4 = 56j + 32 + 4 = 56j + 35 + 1   The answer is I and II only.
Answer: D
Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point S at the same time, how long, in hours, after the trains depart will they again meet at Point S? Choose one.
A) 3  B) 6  C) 9  D) 18  E) 22

Solution: The trains will travel the perimeter of the circle which is 12π miles. The relative speed of the trains is 2π miles per hour. Time taken to meet = 12π/2π = 6 hours   ANSWER:612 /2= 
12 /2 = 6
6 hours   ANSWER:6
Answer: B
What simple interest will produce Rs.84000 as in 4 years at 3 1/2 percent?
Choose the correct choice from the following answers:
A) 11500
B) 12660
C) 15220
D) 11760
E) 16520

Solution: (84000*4*7/2)/100 = i   i = 11760   Answer: 11760
Answer: D
A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 6% higher then what would the sum amount in the same time period? Choose one: A) Rs. 4465 B) Rs. 3683 C) Rs. 3596 D) Data inadequate E) Rs. 3944

Solution: 3422=2900+(2900*R*3/100)   R=6   If R is 6 more.   Then R=12   Sum=2900+(2900*12*3/100)= 
2900+(2900*12*3/100) = 3_944
3944   ANSWRs. 3944R:Rs. 3944
Answer: E
Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?  Pick:
A) 10%	B) 12.5%	C) 15%	D) 17.5%	E) 20%

Solution: Let X be total number of votes.   Given 1618 = 20/100(X) => X = 8090.   Now 30%(8090) = 2427.   Difference now is 2427-1618= 
2427-1618 = 809
809   809 is 10% of 8090. Then he needed 10% more votes to win 30% of total votes.   10%nswer: option 10% is correct answer..
Answer: A
If a particular player is always chosen, in how many ways can a cricketbe chosen out of 15 players? Select the correct option:
A) 1267	B) 1348	C) 1321	D) 1342	E) 1365

Solution: A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.   =. Required number of ways = 14C10 = 14C4   = 14!/4!x19! = 1365   1365
Answer: E
The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A.?
Choose the correct choice from the following answers:
A) 16  B) 12  C) 15  D) 20  E) 10

Solution: (A+12)-(12-C)=12   A-C=12   Answer is 12
Answer: B
The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?	Pick one.
A) 7 years B) 9 years C) 4 years D) 6 years E) 2 years

Solution: Explanation:   100 ---- 300 --- 3   900 --- 3   ----   6 years   Answer: Option 6 years
Answer: D
By selling a bat for Rs.630/- a man loses 10% what is that bat cost price  Choose the correct choice from the following answers:
A) s.600/-
B) s.630/-
C) s.700/-
D) s.780/-
E) s.800/-

Solution: 90 % ------> 630 (90 * 7 = 630)   100 % ------>700 (100 * 7 = 700)   s.700/-ost price = Rs.700/-   s.700/-)
Answer: C
in a soccer bet,we play 4 teams.first team odd 1.28,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win? Choose the correct choice from the following:	A) 219.5	B) 223.0	C) 235.01	D) 266.74	E) 669.0

Solution: in the case we won the bet,we have:   1.28* 5.23* 3.25* 2.0*5.00=219.50   we will win 223   so correct answer is 223.0
Answer: B
Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
Choose the most appropriate option
A) 4!  B) 8!  C) 9!  D) 10!  E) 12!

Solution: Ans.(B)   Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Answer: B
Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
Pick one:	A) 8 hours 15 mins	B) 8 hours	C) 9 hours	D) 7 hours	E) 6 hours

Solution: Pages typed by 8 hours 15 minsnil in 1 hour = 32/6 = 16/3   Pages typed by Suresh in 1 hour = 40/5= 
40/5 = 8
8   Pages typed by 8 hours 15 minsnil and Suresh in 1 hour= 16/3 + 8 = 40/3   Time taken to type 110 pages when 8 hours 15 minsnil and Suresh work together = 110 × 3 /40 = 33/4   = 8 ¼ hours = 8 hour 15 minutes   8 hours 15 minsnswer is 8 hours 15 mins.
Answer: A
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 29 metre of cloth ?  Choose the correct choice from the following answers:
A) 175 seconds	B) 195 seconds	C) 155 seconds	D) 227 seconds	E) 115 seconds

Solution: Explanation:   Let the time required by x seconds.   Then, More cloth means More time (227 secondsirect Proportion)   So,   0.128 : 1 :: 29 : x => x = {\color{Blue} \frac{29\times 1}{0.128}}   => x = 226.56   So time will be approx 227 seconds   Answer: 227 seconds
Answer: D
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.4. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.
Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
Choose the most appropriate option:
A) 0.49
B) 0.6
C) 0.448
D) 0.5
E) 0.52

Solution: probability of adams approval = 0.7   baker approval =0.4   corfu approval=0.4   proabability of approval is must adam approval and atleast one approval   = adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+   adam approval*baker not approval*coffu approval( atleast one remaining approval   = 0.7*0.4*0.4+0.7*0.4*0.6+0.7*0.6*0.4   =0.112+0.168+0.168= 
0.112+0.168+0.168 = 0.448
0.448   0.448
Answer: C
The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream? Choose one:
A) 25 kmph  B) 13 kmph  C) 65 kmph  D) 55 kmph  E) 14 kmph

Solution: Speed of the boat in still water   = (30+80)/2= 
(30+80)/2 = 55
55 kmph. Speed of the stream= (80-30)/2= 
(80-30)/2 = 25
25 kmph.   25 kmphnswer: 25 kmph
Answer: A
2, 3, 6, 0, 10, -3, 14, (...) Options:
A) -6 B) 8 C) -2 D) 4 E) 10

Solution: There are two series   2, 6, 10, 14, ... (Adding 4)   3, 0, -3, ... (Subtracting 3)   Hence, next term is -3 - 3 = -6   -6nswer is -6
Answer: A
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.10 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? Choose one:
A) 160	B) 175	C) 190	D) 200	E) 210

Solution: Suppose the man works overtime for x hours.   Now, working hours in 4 weeks = (5 x 8 x 4) = 160.   160 x 2.10 + X x 3.20 = 432   X = 30.   Hence, total hours of work = (160 + 30)= 
(160 + 30) = 190
190.   answer :190
Answer: C
Two friends plan to walk along an 18-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 25% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?  Choose the correct choice from the following choices:  A) 10  B) 11  C) 12  D) 13  E) 14

Solution: If Q complete x kilometers, then P completes 1.25x kilometers.   x + 1.25x = 18   2.25x=18   x = 8   Then P will have have walked   1.25*8= 
  1.25*8 = 10
10 km.   The answer is 10.
Answer: A
The average of four consecutive even numbers is 27. find the largest of these numbers?
Pick one:
A) 25  B) 30  C) 41  D) 23  E) 65

Solution: Sol: let the numbers be x,x+2,x+4 and x+6. then,   (x+(x+2)+(x+4)+(x+6))/4) = 27   (4x+12)/4 = 27   x+3=27; x=24.   Therefore the largest number=(x+6)=24+6= 
24+6 = 30
30.   Ans: 30
Answer: B
In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 20 percent of revenues. The profits in 1999 were what percent of the profits in 1998?	Choose the correct answer.
A) 80%
B) 160%
C) 120%
D) 124.2%
E) 138%

Solution: 0,16R = x/100*0.1R   Answer 160%
Answer: B