MU-NLPC/Calc-aqua_rat huggingface dataset:
300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees Choose the correct choice:
A) 10	B) 12	C) 14	D) 16	E) 17

Solution: 26 trees have 25 gaps between them,   Required distance (300/25)= 
(300/25) = 12
12   12
Answer: B
Line L passes through the points (-2,0) and (0,a). Line LL passes through the points (4,0) and (6,2). What value of a makes the two lines parallel?
Choices.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Find slopes first   Slope of L = (a - 0) / (0 - (-2)) = a / 2   Slope of LL = (2 - 0) / (6 - 4)= 
(2 - 0) / (6 - 4) = 1
1   For L and LL to be parallel, their slopes must be equal   a / 2= 1 , a = 2   correct answer 2
Answer: B
A and B can do a piece of work in 6 days. With the help of C they finish the work in 4 days. C alone can do that piece of work in?	Choose the correct choice from the following answers:
A) 40 days  B) 12 days  C) 15 days  D) 60 days  E) 40 days

Solution: 12 days   12 days   C = 1/4 – 1/6 = 1/12 => 12 days   12 days
Answer: B
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child? Choose the correct choice from the following answers.
A) 2 years
B) 5 years
C) 9 years
D) 4 years
E) 1 years

Solution: 28 * 2= 
28 * 2 = 56
56   20 * 3= 
20 * 3 = 60
60   -----------   4 years   Answer:4 years
Answer: D
Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?  Choose the correct choice from the following answers:
A) Rs. 15000 B) Rs. 16200 C) Rs. 14700 D) Rs. 15900 E) None of these

Solution: Let the CP be Rs. x.   Had he offered 10% discount, profit = 8%   Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 10/100(18000) = 18000 - 1800 = Rs. 16200   => 1.08x = 16200   => x = 15000   Rs. 15000NSWER:Rs. 15000
Answer: A
The owner of a local jewellery store hired three watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave 1/3 of the diamonds he had then, and 3 more besides. He escaped with 3 diamonds. How many did he steal originally? Options
A) 198
B) 199
C) 200
D) None of these
E) Cannot be determined

Solution: Explanation :   Since, thief escaped with 3 diamond,   Before 3rd watchman, he had ( 3 + 3 ) x 3 = 18 diamonds.   Before 2nd watchman, he had ( 18 + 3 ) x 3 = 63 diamonds.   Before 1st watchman, he had ( 63 + 3 ) x 3 = 198 diamonds.   198nswer : 198
Answer: A
In how many different Q ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
Choices.
A) 70  B) 288  C) 576  D) 10,080  E) 20,160

Solution: Treat the 4 ladies as one object, now you have 5 objects to arrange around a table (m1,m2,m3,m4,women). This can be done in (5-1)! ways   And there are 4! ways to arrange ladies among themselves   Answer Q= (4!)^2 = 576 or 576
Answer: C
a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the addition of the maximum and minimum possible values of 'a + b'?
Choose the correct answer:
A) 21 B) 34 C) 30 D) 25 E) 12

Solution: possible values of a and b can be 5,4; 4,5 (which are same for a+b) and 1,20; 20,1 (same result for a+b)   so 21+9= 
21+9 = 30
30 ans 30
Answer: C
On a map, 1 inch represents 28 miles. How many B inches would be necessary to represent a distance of 383.6 miles?	Pick:
A) 5.2 B) 7.4 C) 13.7 D) 21.2 E) 28.7

Solution: B inches necessary to represent a distance of 383.6 miles = 383.6/28= 
383.6/28 = 13.7
13.7   Answer 13.7
Answer: C
Approximately how many revolutions will be made by a car tire with a 13-inch diameter if the car travels 1⁄2 mile?
Select the correct option:  A) 120  B) 180  C) 772  D) 720  E) 1,440

Solution: Diameter of car tire = 13 inches   Radius of car tire = 6.5 inches = 6.5*2.54= 
6.5*2.54 = 16.51
16.51 cm   Circumference of the car tire= 2*pi * 16.51 = 2 *3.14 *16.51= 103.68 cm   Distance traveled by car = .5 mile = .5 *1.6= 
.5 *1.6 = 0.8
.8 km= 800 m = 8 * 10^4 cm   Number of revolutions =Distance traveled / Circumference of tire = 8 * 10^4 / 103.68 = 771.60   Since the answer choices are far apart we should use estimation in this question .   Ideally ,in the GMAT the conversion between units would be provided .   Answer 772
Answer: C
On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?
Choices:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: Number = 269 * 68 + 0= 
269 * 68 + 0 = 18_292
18292   67) 18292 (273   18291   --------   1   Required number= 1.   ANSWER:1
Answer: B
A milkman sells his milk at CP but he mixes it with water and thereby gains 25%. What is the % of water in the mixture? Pick: A) 10% B) 15% C) 20% D) 25% E) 30%

Solution: Here Gain= 25%   error = quantity of water he mixes in the milk =x   true value = true quantity of milk = T   So the formula becomes, 25=x(T−x)×100   ⇒1=x(T−x)×4⇒T−x=4x⇒T=5x   Percentage of water in the mixture   =xT×100=x5x×100=15×100=20%   20%
Answer: C
Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase them again, this time at $6 per stock. If Jerome ended up having 6000 WebWeb.com stocks fewer than the number he had before selling them, how many WebWeb.com stocks did he have originally?
Choose the correct choice:
A) 10,000
B) 11,600
C) 12,000
D) 14,000
E) 16,000

Solution: Let the number of shares be x.   5*x -10000(money paid in taxes) = 6(x- 6000)   Solving for x, we get the shares as 16000.   Ans :(Option 16,000)
Answer: E
There are 137 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June?
Select.
A) 10	B) 11	C) 12	D) 13	E) 15

Solution: IMO 16   Take each answer choice and substract it from 137 and the divided this with 11.   15
Answer: E
A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 90 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 50 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year?	Pick one
A) −5%
B) 5%
C) 15%
D) 20%
E) 80%

Solution: The actual answer is obtained by multiplying 140% by 70% and subtracting 100% from this total. That is: 190% × 50% = 95%; 95% − 100% = -5%.   −5%nswer: −5%
Answer: A
The average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?  Choose the correct answer
A) 93 Kg B) 50 Kg C) 85 Kg D) 80 Kg E) 60 KG

Solution: Explanation:   Total increase in weight = 8 Ã— 3.5 = 28   If x is the weight of the new person, total increase in weight = xâˆ’65   => 28 = x - 65   => x = 28 + 65= 
28 + 65 = 93
93   93 Kgnswer: Option 93 Kg
Answer: A
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years? Pick one.
A) 14	B) 16	C) 15	D) 23	E) 24

Solution: Given, the preset ratio of the ages of Sameer and Anand is 5:4   Let Age of Sameer/5 = Age of Anand/4= x   Present age of Sameer = 5x   Present age of Anand = 4x   After 3 years,   Age of Sameer woud be 5x+3   Age of Anand woud be 4x+3   So (5x+3)/(4x+3)= 119   = x = 6   Hence age of Anand will be 6X4 = 24 years. ANSW24R : 24
Answer: E
John bought Blue and Pink recorder for pupils in his music class in the ratio of 6:4. If 40% of the Blue recorder and 60% of the pink recorder were bought at half price, how many recorders did John buy at half price?  Options: A) 48% B) 52% C) 44% D) 46% E) 47%

Solution: let total no of Recorder bought be 100, blue recorder 60 and pink recorder 40, so recorder bought at half price for both blue and pink recorder respectively  60* 40/100= 
 60* 40/100 = 24
24 and   40* 60/100= 
  40* 60/100 = 24
24   so total 48 recorders were bought at half price out of 100 blue and pink recorders..so required % is 48%   48%NSWER:48%
Answer: A
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?  Answers:
A) 4/5 km  B) 4/9  C) 4/6  D) 4/2  E) 4/1

Solution: x/3 – x/4 = 4/60   x = 4/5 km   4/5 kmnswer: 4/5 km
Answer: A
Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 20 percent was planted with potato and 70 percent of the cleared land was planted with tomato. If the remaining 630 acres of cleared land was planted with corn, how many acres did the farmer own?	Pick.
A) 7000
B) 6800
C) 8000
D) 5400
E) 7100

Solution: 20% od 90% = 18%, 70% 0f 90% = 63% so the remaining  90-18-63= 
 90-18-63 = 9
9%=630 acres or 10% of 90%=9% --> 630/9*100=7000 acres 7000nswer (7000)
Answer: A
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 700 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars? Choose the most appropriate option
A) (B + 200)/2.  B) (B + 2)/6.  C) (2B + 200)/3.  D) (B + 2)/3.  E) (B - 2)/6.

Solution: P = 2w - 200   thus total price in cents as given should be   2w-200 +w = 100B   3w - 200 = 100 B   3w = 100 B+200   3w =b+2 (in dollars)   w/2 = (b+2)/6   Ans:(2B + 200)/3.
Answer: C
The Ultimate Boxwood Derby is coming up and two competitors are testing their model cars on the ultra long endurance track. Sandra launches her car, The Pink Lady, half a minute before Dee launches her car, Greased Lightning. The Pink Lady goes at 40 meters per minute and Greased Lightning goes 50 meters per minute. Where will Greased Lightning overtake The Pink Lady on this 50 meter long track?	Choose one:
A) At the 30 meter mark B) At the 35 meter mark C) At the 40 meter mark D) At the 50 meter finish line! E) There is not enough room, The Pink Lady will win.

Solution: Distance covered by The Pink Lady in 1/2 minute = 20 meters   Now, 10 meters is compensated in 1 minute, therefore 20 meters will be compensated in 2 minutes.   The Pink Lady will be at the 80 meter mark in 2 minutes.   So, Greased Lightning does not have room to overtake the Pink Lady on the track.   Correct Answer: There is not enough room, The Pink Lady will win.
Answer: E
TOM traveled the entire 60 miles trip. If he did the first 12 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour? Choose the correct option.
A) 20mph B) 24mph C) 30mph D) 40mph E) 42mph

Solution: avg speed = total distance/ total time = (d1+d2)/(t1+t2) = (12+48) / ((12/24)+(48/48)) = 60*2/3= 
60*2/3 = 40
40mph   40mph
Answer: D
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?	Choose the correct option
A) 299  B) 476  C) 277  D) 268  E) 982

Solution: 3 1/2 * 8 1/2 = 1/4 * 1/4 * x => x   = 476   Answer:476
Answer: B
If a train, travelling at a speed of 80 kmph, crosses a pole in 5 sec, then the length of train is? Choose the correct choice from the following.
A) 110.111 m	B) 121.111 m	C) 111.11 m	D) 141.111 m	E) 181.111 m

Solution: D = 80 * 5/18 * 5 = 111.11 m   ANSWER:111.11 m
Answer: C
For each hour of production, a certain factory requires 1 assembly line worker for every 25 units to be produced in that hour. The factory also requires 8 managers regardless of the number of units to be produced. Which of the following expressions represents the total number of assembly line workers and managers that this factory requires to produce 50N in one hour, where N is a positive integer?	Answers.
A) 12 + 50N  B) 12 + 2N  C) 8 + 2N  D) 37N  E) 25

Solution: 25 units = 1 worker;   50N units = 50N/25 = 2N workers.   So, the answer is 2N workers plus 8 managers.   Answer: 8 + 2N.50 /25= 
50 /25 = 2
2N workers.   So, the answer is 2N workers plus 8 managers.   Answer: 8 + 2N.
Answer: C
A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 15 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Pick one:
A) 2,060
B) 1,320
C) 455
D) 315
E) 220

Solution: 15*14*13/3*2*1 = 455   455
Answer: C
A single discount equivalent to the discount series of 30%, 10% and 8% is? Choose the correct choice:
A) 31.8
B) 42.04
C) 31.6
D) 31.2
E) 31.9

Solution: Explanation:   100*(70/100)*(90/100)*(92/100)= 
100*(70/100)*(90/100)*(92/100) = 1_449/25 = around 57.96
57.96   100 - 57.96= 
100 - 57.96 = 42.04
42.04   Answer: 42.04
Answer: B
A rectangular box of volume V has width, depth and height in the ratio of 2:1:3 (in that order). What is the height as a function of V?	Choose the correct answer
A) (V/2)^(1/3)  B) (2V/6)^(1/3)  C) (9V/2)^(1/3)  D) (4V/3)^(1/3)  E) (4V/2)^(1/3)

Solution: We are given width = 2, depth = 1, height = 3.   Then Volume V = Width x Depth x Height = 2*1*3= 
2*1*3 = 6
6   i.e. V= 6   The correct option should result in 3 (the height) on substituting the value of V=6.   (9V/2)^(1/3)hecking options with V=6:   A) (V/2)^(1/3) = (6/2)^(1/3) = 3^(1/3) IN(9V/2)^(1/3)ORRE(9V/2)^(1/3)T ANSWER   B) (2V/6)^(1/3) = (12/6)^(1/3) = 2^(1/3) IN(9V/2)^(1/3)ORRE(9V/2)^(1/3)T ANSWER   (9V/2)^(1/3)) (9V/2)^(1/3) = (54/2)^(1/3) = 3 (9V/2)^(1/3)ORRE(9V/2)^(1/3)T ANSWER   D) (4V/3)^(1/3) = (24/3)^(1/3) = 8^(1/3) = 2 IN(9V/2)^(1/3)ORRE(9V/2)^(1/3)T ANSWER   E) (4V/2)^(1/3) = (24/2)^(1/3) = 12^(1/3) IN(9V/2)^(1/3)ORRE(9V/2)^(1/3)T ANSWER   Answer: Option (9V/2)^(1/3)
Answer: C
In expressing a length 810472 km as nearly as possible with three significant digits , find the percentage error.  Choose one.
A) 0.34%  B) 0.304%  C) 30.4%  D) 0.034%  E) 3.40%

Solution: Error = (81.5 – 81.472)km = 0.028.   Required percentage = [(0.028/81.472)*100]% = 0.034%.   ANSWER 0.034% 0.034%
Answer: D
The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person  Pick one.
A) 15  B) 20  C) 25  D) 30  E) 28%

Solution: Explanation:   Let's take the present age of the elder person = x   and the present age of the younger person = x – 16   (x – 6) = 3 (x-16-6)   => x – 6 = 3x – 66   => 2x = 60   => x = 60/2= 
60/2 = 30
30   Option 30
Answer: D
Out of a total of 1,000 employees at a certain corporation, 52 percent are female and 40 percent of these females work in research. If 65 percent of the total number of employees work in research, how many male employees do NOT work in research?  Choose the correct option:
A) 520	B) 480	C) 392	D) 208	E) 38

Solution: total number of female employees =52% =520   female employees working in research =(2/5)*520= 
(2/5)*520 = 208
208   Total no of employees working in research=65% =650   Total male employees =48%=480   male employees working in research =650-208= 
650-208 = 442
442   male employees not working in research=480-442= 
480-442 = 38
38   Answer 38
Answer: E
A shopkeeper sold an article offering a discount of 5% and earned a profit of 19.7%. What would have been the percentage of profit earned if no discount was offered?	Choose the correct choice from the following: A) 60% B) 26% C) 30% D) 56% E) 73%

Solution: Let C.P. be Rs. 100.   Then, S.P. = Rs. 19.70   Let marked price be Rs. x. Then, 95/100 x = 119.70   x = 11970/95 = Rs. 126   Now, S.P. = Rs. 126, C.P. = Rs. 100   Profit % = 26%.   Answer: 26%
Answer: B
If the speed of X meters per minute is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters)	Pick: A) 15x/18 B) 6x/5 C) 18x/5 D) 0.06x E) 3600000x

Solution: x=1000y/60   y = 0.06x   Answer : 0.06x
Answer: D
If a number p is prime, and 2p+1 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q  Choose the correct answer:
A) 1
B) 3
C) 5
D) 7
E) 9

Solution: 3/7 = 0.428571... (a repeating pattern one digit long)   3
Answer: B
Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 10 seconds. The length of the faster train is	Options.
A) 225 m B) 100 m C) 120 m D) 180 m E) None

Solution: Solution   Relative Speed	= (36 + 45) km/hr   = (81 x 5/18) m/sec   = (45/2) m/sec   Length of the train	= (45 / 2 x 10) m   = 225 m.   225 mnswer 225 m
Answer: A
The simple interest on Rs.11000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for two years at the same rate of interest.	Choose the correct option.
A) 3068.82  B) 3052.89  C) 3052.85  D) 3068.51  E) 3068.81

Solution: R = 100 I / PT   => R = (100 * 7200)/ (11000 * 5) = 13.09%   CI = P{ [1 + R /100]n - 1}   = 11000 { [ 1 + 13.09 / 100]^2 - 1} = Rs.3068.51   Answer:3068.51
Answer: D
Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 15 machines produce in 6 minutes?
Options:
A) 1344
B) 6300
C) 8400
D) 50400
E) 67200

Solution: 8 machines produce 560 in 1 min   8 machines produce 560* 6 in 6 min   15 machine produce 560*6*(15/8) in 6 minutes     560*6*15/8= 
  560*6*15/8 = 6_300
6300 answer is 6300.
Answer: B
In a factory, there are 90% technicians and 10% non-technicians. If the 90% of the technicians and 10% of non-technicians are permanent employees, then the percentage of workers who are temporary is?	Choose the most appropriate option:
A) 62%  B) 57%  C) 52%  D) 82%  E) 42%

Solution: Total = 100   T= 90 NT= 10   90*(10/100)=910*(90/100)=9   9 + 9= 
9 + 9 = 18
18=> 100 - 18= 
100 - 18 = 82
82%   Answer:82%
Answer: D
A mixture contains milk and water in the ratio 5:2. On adding 10 liters of water, the ratio of milk to water becomes 5:3. The quantity of milk in the original mixture is?	Pick.
A) 40 B) 48 C) 52 D) 56 E) 70

Solution: milk:water = 5:2   5x : 2x + 10 = 5 : 3   3[5x] = 5[2x + 10]   15x = 10x + 50   15x - 10x = 50   x = 10   The quantity of milk in the original mixture is = 5 : 2 = 5 + 2= 
5 + 2 = 7
7   7x= 70   70
Answer: E
At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hr less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for this 24 miles round trip, the downstream 12 miles would then take only 1 hr less than the upstream 12 miles. What is the speed of the current in miles per hour?
Choose the correct choice from the following answers.
A) 7/3  B) 4/3  C) 5/3  D) 8/3  E) None of these

Solution: Explanation :   Let x be rate of rahul , and y be the rate of current in mph.   => [12/ (x-y)] - [12 / (x+y)] = 6.   => y = ( x2 - y2 ) / 4. ..................(i)   When Rahul doubles his rowing rate, then we have :-   => 12/( 2x-y) - 12/( 2x+y) = 1.   => 2y / (4x2 - y2) = 1/12.   => y = (4x2 - y2) / 24. ..................(ii)   Hence, from (i) and (ii), we have 2x2 = 5y2 .   Putting, x2 = 5y2 / 2 in (i), we get   => y = (3/2)y2 / 4 .   => y = 8/3.   Answer : 8/3
Answer: D
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Pick:  A) 2  B) 4  C) 8  D) 4  E) 7

Solution: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 18 --- (1)   and x - y = 10 --- (2)   From (1) & (2) 2x = 28 => x = 14, y = 4.   Answer:4
Answer: D
The fraction 101 27/100000 in decimal for is:	Answers:
A) 101.27 B) 101.00027 C) 101.0027 D) 101.027 E) None of them

Solution: 101 27/100000   = 101 + 27/ 100000   = 101 + .00027= 
101 + .00027 = 101.00027
101.00027   Answer is 101.00027.
Answer: B
If exactly 7 guests drank only one of the two types of drinks, how many guests drank both types of drinks?
Choose the correct choice from the following answers.
A) 5 B) 6 C) 7 D) 4 E) 2

Solution: Say x guests drank both drinks.   (7 - x) + (4 - x) = 7 --> x = 2.   Answer: 2.
Answer: E
Sara is younger than Robert by 8 years. If their ages are in the respective ratio of 3:5, how old is Sara?	Options:
A) 8	B) 10	C) 12	D) 15	E) 20

Solution: Let Robert's age be x years   Then Sara's age = x-8 years   (x-8)/x = 3/5   x = 20   Sara's age = x-8 = 12 years   Answer is 12
Answer: C
A car covers a distance of 520 km in 4 hours. Find its speed?  Choose the correct choice:
A) 104
B) 130
C) 298
D) 269
E) 213

Solution: 520/4= 
520/4 = 130
130 kmph   Answer:130
Answer: B
A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 16 km/hr and reaches school 1 hour early. What is the distance between his house and the school?  Choose the most appropriate option
A) 70	B) 75	C) 80	D) 85	E) 90

Solution: Let x be the distance from his house to the school.   x/10 = x/16 + 3   8x = 5x + 240   3x = 240   x = 80 km   The answer is 80.
Answer: C
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 5% p.a. in 5 years. What is the sum?  Choose one:
A) 12021
B) 14520
C) 16065
D) 18925
E) 12887

Solution: Principal = (100 * 4016.25) / (5 * 5)   = Rs.16065.   Answer:16065
Answer: C
A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 504. What is the sum of the last 8 of the even integers?	Choose the correct choice from the following choices.
A) 608
B) 614
C) 620
D) 626
E) 632

Solution: The sum of the first 8 numbers is: x + (x+2) +...+ (x+14) = 504   The sum of the next 8 numbers is: (x+16) + (x+2+16) +...+ (x+14+16) =   504 + 8(16) = 504 + 128= 
504 + 128 = 632
632   The answer is 632.
Answer: E
At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 2:1. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed?	Options: A) 2/3 B) 4/5 C) 6/2 D) 5/2 E) 4/9

Solution: Red: Blue = 2:1   Let Red = 2x and Blue = 1x   1/3 of Red are left handed => 1/3 * 2x = 2x/3 Red left handed   2/3 of Blue are left handed => 2/3 *1x = 2x/3 blue left handed   fraction of participants who are left handed = total left handed/ total participants = (red left handed + blue left handed)/total participants = (2x/3 + 2x/3)/(2x+1x) = 4/9   Answer : 4/9
Answer: E
If cement, gravel and sand are to be mixed in 7:10:13 and 11 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.	Choices:
A) 35 7/8
B) 36
C) 34 2/7
D) 47 1/7
E) 34 6/7

Solution: Cement:Gravel:Sand = 7:10:13 --> total of   7+10+13= 
  7+10+13 = 30
30 parts.   If we use 11 tons of cement, then we'll get 11/7*30= 47 1/7 tons of mixture.   Answer: 47 1/7.
Answer: D
If a man crosses a 600 m long street in 5 minutes. What is his speed?
Choose the correct choice from the following choices
A) 7 km/hr  B) 7.1 km/hr  C) 7.2 km/hr  D) 8 km/hr  E) 8.5 km/hr

Solution: distance = 600 meter   time = 5 minutes = 5 x 60 seconds = 300 seconds   Speed = distancetime=600300=2m/s=2×185 km/hr=365 km/hr=7.2 km/hr   7.2 km/hr
Answer: C