MU-NLPC/Calc-aqua_rat huggingface dataset:
Harry started a 4-mile hike with a full 10-cup canteen of water and finished the hike in 2 hours with 2 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 3 miles of the hike? Choose the correct option
A) 1/3
B) 2/3
C) 3/3
D) 3/1
E) 3/2

Solution: No of cups leaked during the trip = 2 cups.   No of cups Harry drank = 6 cups.   No of cups harry drank during the first 3 miles = 3.   drink / mile = 3/3   Answer: 3/3
Answer: C
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?	Choose the correct choice from the following answers:
A) 2230 m^2
B) 2456 m^2
C) 2520 m^2
D) 2678 m^2
E) 2734 m^2

Solution: Solving the two equations, we get: l = 63 and b = 40.   Area = (l x b) = (63 x 40) m2 = 2520 m^2   2520 m^2
Answer: C
It takes 6 beavers 10 hours to build a certain dam, working at a uniform rate. If six beavers start to build the same dam at noon, and one beaver per hour is added beginning at 5:00 PM, at what time will the dam be complete?	Choose the correct choice from the following options.
A) 7:24 PM	B) 8:00 PM	C) 8:36 PM	D) 9:12 PM	E) 9:48 PM

Solution: The rate of 1 beaver is 1/60.   The amount of work done by 6 beavers in 5 hours is 6/60 *5 = 30/60   In the next hour, 7 beavers do 7/60 for a total of 37/60.   In the next hour, 8 beavers do 8/60 for a total of 45/60.   In the next hour, 9 beavers do 9/60 for a total of 54/60.   In the next 36 minutes, 10 beavers do 10/60 * 36/60 = 6/60 for a total of 60/60.   The dam will be completed at 8:36 pm.   The answer is 8:36 PM.
Answer: C
If q and y are integers and (15^q + 15^(q+1))/4^y = 15^y what is the value of q?  Options
A) 2	B) 3	C) 4	D) 5	E) Cannot be determined

Solution: \frac{15^q( 1+ 15)}{4^y} = 15^y   (15^q . 4^2 ) / 4^y = 15^y. 4^0   15^q . 4^(2-y) = 15^y. 4^0   Equating the powers, q = y; 2-y = 0; So q = y = 2=2
Answer: A
The daytime telephone rate between two cities is 70 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 60 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:
Choose the correct choice
A) 0.4(0.70) + 35c  B) 0.6(0.70 + 0.35c)  C) 0.4(0.70 + 9c)  D) 0.6(0.70 + 32c)  E) 0.4(0.70 + 0.32c)

Solution: For first three minutes = 70 cents   Remaining minutes = 35 -3= 
35 -3 = 32
32   charge for 32 minutes= 32c   total cost (if the call was made in daytime) = 0.70 + 32c   60% chargereducedon night calls => 40% charge   =>0.4(0.70 + 32c)   Hence, Answer is 0.4(0.70 + 0.32c)
Answer: E
Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 4 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 4 minute mark.)
Options.
A) 16	B) 17	C) 18	D) 19	E) 20

Solution: 4 minutes is 240 seconds.   Lamp A and Lamp B will flash together every 24 seconds.   240/24= 
240/24 = 10
10.   In the time period, Lamp A and Lamp B will flash together 10 times.   Lamp A and Lamp C will flash together every 30 seconds.   240/30= 
240/30 = 8
8.   In the time period, Lamp A and Lamp C will flash together 8 times.   Lamp B and Lamp C will flash together every 40 seconds.   240/40= 
240/40 = 6
6.   In the time period, Lamp B and Lamp C will flash together 6 times.   All three lights will flash together every  2*2*2*3*5= 
 2*2*2*3*5 = 120
120 seconds.   240/120= 
240/120 = 2
2.   We have counted these triple flashes three times, so we need to subtract three times the number of times that all three lights flash together.   The number of times that exactly two lights flash together is   10+8+6-6= 
  10+8+6-6 = 18
18 times.   The answer is 18.
Answer: C
Average expenditure of a person for the first 3 days of a week is Rs. 360 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is: Choose the most appropriate option.
A) 350 B) 370 C) 390 D) 400 E) None

Solution: Explanation:   Assumed mean = Rs. 360   Total excess than assumed mean = 4 × (Rs. 420 - Rs. 350) = Rs. 280   Therefore, Increase in average expenditure = Rs. 280/7 = Rs. 40   Therefore, Average expenditure for 7 days = Rs. 360 + Rs. 40 = Rs. 400   Correct Option: 400
Answer: D
Analyze the number square carefully and find out what number fits in place of question mark.
1	3	5
2	4	6
7	2	?
Choose the correct option:
A) 6
B) 12
C) 24
D) 48
E) 28

Solution: 20 fits in place of question mark.   This is because (number in first column) / (number in second column) * 8 = number in third column.   Here (left number / middle number) * 8 = right number   (7 / 2) * 8 = 7*4= 
7*4 = 28
28   28
Answer: E
A no.when divided by 225 gives a remainder 43, what remainder will beobtained by dividingthe same no.17? Answers
A) 2  B) 7  C) 9  D) 11  E) 13

Solution: 225 + 43= 
225 + 43 = 268
268/17= 13 (Remainder)   13
Answer: E
In how many ways can the letters of the word SITO be arranged in a row so that the vowels appear in alphabetic order?  Choices.
A) 16 B) 12 C) 14 D) 18 E) 24

Solution: two letters can be arranged in 2! ways.   only one combination IO is required.   4 letters can be arranged in 4! ways.   thus 4!/ 2! * 1 = 12.   12
Answer: B
Using all the letters of the word "FORMED", how many words can be formed, which begin with F and end with D?	Choose the most appropriate option:
A) 30	B) 26	C) 23	D) 20	E) 24

Solution: There are six letters in the given word.   Consider 6 blanks ....   The first blank and last blank must be filled with F and D all the remaining four blanks can be filled with the remaining 4 letters in 4! ways.   The number of words = 4! = 24.   ANSW24R:24
Answer: E
The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:	Choose the correct choice from the following:
A) 10.4 km	B) 10.6 km	C) 11.4 km	D) 11 km	E) 12 km

Solution: Explanation:   Speed downstream = (22 + 4)= 
(22 + 4) = 26
26 kmph   Time= 24 minutes = 24/60 hour = 2/5 hour   Distance travelled = Time × speed = (2/5)×26 = 10.4 km   10.4 kmnswer: Option 10.4 km
Answer: A
Steve traveled the first 2 hours of his journey at 50 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?	Pick one
A) 68 mph B) 56.67 mph C) 53.33 mph D) 64 mph E) 66.67 mph

Solution: Distance traveled in 2 hours = 2 * 50= 
2 * 50 = 100
100 m   Distance traveled in 3 hours= 3 * 80= 
3 * 80 = 240
240m   Total distance covered= 240 + 100= 
240 + 100 = 340
340m   Total time= 2 + 3= 
2 + 3 = 5
5 h   Hence avg speed= total distance covered / total time taken   = 340/5= 
340/5 = 68
68mph   68 mphnswer: 68 mph
Answer: A
Sandy walked 25 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 25 meters. She then turned to her right and walked 12 meters. What distance is she from the starting point and in which direction? Choose the correct choice from the following answers:
A) 32 meters East B) 32 meters North C) 32 meters West D) 42 meters East E) 52 meters West

Solution: The net distance is 20 + 12= 
20 + 12 = 32
32 meters to the east.   The answer is 32 meters East.
Answer: A
If 20% of a number, then 120% of that number will be? Choose one:  A) 20  B) 120  C) 360  D) 720  E) 700

Solution: Explanation:   Let the number x. Then,   20% of x = 120   x = (120 * 100)/20= 
(120 * 100)/20 = 600
600   120% of x= (120/100 * 600)= 
(120/100 * 600) = 720
720.   Answer IS 720
Answer: D
Felix earned 80% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar?
Select the correct option
A) 10%  B) 9.09%  C) 48%  D) 47.27%  E) It cannot be determined from the information given.

Solution: This Q is all about taking the correct BASE for taking %s..   the very first step requires taking some numbers for each..   ONE should be 100...   it is easy to take 20 and 100 here..   but the BASE is 100 here, so the salary can be 100 and 180..   100 increases 10% =110..   180 decreases 10%=162..   so the increase is 52..   again the BASE is 110, so answer 52/110 * 100= 47.27% D   without calculations,   answer cannot be equal to or greater than 48, as 52 is on 110..   so 47.27% is the only one left
Answer: D
In a game of chess, the moves of whites and blacks alternate with whites having the first move. During a certain chess tournament whites have made 2319 moves altogether while blacks have made 2315 moves. If in any game the side that made the last move did not lose, which of the following can be true about the tournament?
I. Blacks lost 5 games
II. Blacks won more games than whites
III. All games ended in a draw	Choose the correct choice from the following options
A) III only
B) I and II only
C) I and III only
D) II and III only
E) I, II, and III

Solution: if white wins, white will always have more moves than black.   Win: White. Then, White > Black.   If Black wins, the number of moves of both white and black will be the same.   Win: Black. Then, White (moves) = Black (moves).   Why? Because, white cannot have the last move and lose the game (from the question). And white always starts so it will be WB WB WB till blacks last move.   If it is a draw, either of these possibilities exists.   Win: Draw. White > Black or Black = White.   Statement 1: Black lost 5 games. This is false because anyone who plays the last move cannot lose (from the question). IF black lost 5 games, white will have a clear lead of 5 moves. It is only 4 moves from the question.   Statement 2: This is possible. Imagine that they play about 150 games. 146 could be black wins (So black moves will be equal to white). then last 4 can be White wins (White moves > Black moves).   Statement 3: All games are draws with white having the last move in only 4 of them . Possible   the answer is II and III only
Answer: D
How many positive integers less than 50 have a reminder 5 when divided by 7?
Choose the correct answer
A) 3	B) 7	C) 4	D) 5	E) 6

Solution: take the multiples of 7 and add 5   0X7+5=5 ....6X7+5=47   there are 7 numbers   answer 7
Answer: B
The cost of 3 kg of sugar is $30. What will the cost of 8 kg of sugar be? Pick one:	A) 20	B) 40	C) 80	D) 160	E) 180

Solution: 3 kg costs $30   1 kg costs $10   8 kg costs $80   The answer is 80.
Answer: C
In the coordinate plane, points (x, 2) and (8, y) are on line k. If line k passes through the origin and has slope 1/2, then x + y =  Answers:
A) 8 B) 6 C) 5 D) 3 E) 2

Solution: Line k passes through the origin and has slope 1/2 means that its equation is y=1/2*x.   Thus: (x, 2)=(4, 2) and (8, y) = (8,4) --> x+y=4+4= 
4+4 = 8
8.   8nswer: 8
Answer: A
The ratio 6 : 5 expressed as a percent equals  Choose the correct option:
A) 12.5% B) 40% C) 120% D) 125% E) None

Solution: Solution   6 : 5	= 6/ 5   = (6/5 x 100)%.   = 120 %.   Answer 120%
Answer: C
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?  Choose the correct choice from the following:
A) Rs.1529  B) Rs.1508  C) Rs.1500  D) Rs.1592  E) Rs.1520

Solution: Let the cost price of an article be Rs. x.   (19% of x) - (12% of x) = 105   19x/100 - 12x/100 = 105 => 7x = 105 * 100   => x = 1500   Rs.1500ost price = Rs.1500   Answer: Rs.1500
Answer: C
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choose the most appropriate option
A) 482	B) 226	C) 276	D) 266	E) 181

Solution: Explanation:   20000(11/10)4 - 20000(6/5)2   = 482   482nswer: 482
Answer: A
Last year a certain bond yielded 8 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?	Choose the most appropriate option: A) $6,000 B) $3,750 C) $7,425 D) $7,500 E) $9,375

Solution: Interest = 0.08*face value = 0.04*7,500 --> face value = 0.04*7,500/0.08 = 3,750.   Answer: $3,750.
Answer: B
The width of a rectangular hall is ½ of its length. If the area of the hall is 128 sq.m, what is the difference between its length and breadth?  Pick one.
A) 8m  B) 10m  C) 12m  D) 15m  E) 17m

Solution: Let the length of the hall be x m   Breadth of the hall = 1x/2 m   8mrea of the hall = Length * Breadth   128 = x * 1x/2   x² = 256   x =16   Difference between the length and breadth of the hall = x - 1x/2 = x/2   =16/2= 
16/2 = 8
8m   8mNSWER:8m
Answer: A
find out the probability to get 1Rs coin head, 2Rs coin Tail and 5Rs coin head??
Choose the correct answer:
A) 1/2	B) 1/8	C) 1/16	D) 1/4	E) None of these

Solution: 1Rs coin head=1/2   2Rs coin Tail=1/2   5Rs coin head=1/2   =(1/2)*(1/2)*(1/2)   =1/8   ANSWER:1/8
Answer: B
At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $48,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?	Choose the most appropriate option:
A) $24,000 B) $28,000 C) $32,000 D) $36,000 E) $40,000

Solution: The answer should be -> A. $24,000
Answer: A
The average weight of 4 person's increases by 8.5 kg when a new person comes in place of one of them weighing 95 kg. What might be the weight of the new person?  Pick:
A) 129 kg B) 134 kg C) 180 kg D) 185 kg E) 190 kg

Solution: Total weight increased = (4 x 8.5) kg = 34 kg.   Weight of new person = (95 + 34)= 
(95 + 34) = 129
129 kg   Option 129 kg
Answer: A
Tough and Tricky questions: Word Problems.
In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 5. Based on this information, how many gold coins would there be in this collection after the proposed trade? Select:	A) 50	B) 60	C) 180	D) 200	E) 300

Solution: The correct answer is 200.
Answer: D
A rectangular-shaped carpet that measures x feet by y feet is priced at $48. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
Answers:
A) xy/360 B) 9xy/40 C) 40xy/9 D) 432xy E) 432/(xy)

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 48 / (xy/9) = 432/(xy).   The answer is 432/(xy).
Answer: E
A train passes a train standing in platform in 30 sec and a man standing on the platform in 12 sec. If the speed of the train is 36 km/hr. What is the length of the platform?
Choices:
A) 250  B) 200  C) 300  D) 240  E) 180

Solution: Speed = 36 * 5/18= 
36 * 5/18 = 10
10 m/sec.   Length of the train= 10 * 12= 
10 * 12 = 120
120 m.   Let the length of the platform be x m . Then,   (x + 120)/30= 10 => x = 180 m.   Answer: 180
Answer: E
Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?  Choose the correct choice
A) 87  B) 57  C) 48  D) 26  E) 28

Solution: Let the numbers be 5x, 6x and 7x.   Largest number = 7x   Smallest number = 5x   Third number = 6x   7x + 5x = 6x + 48   6x = 48   Third number is: 48.   Answer: 48
Answer: C
a man owns 2/3 of the market research beauro business and sells 3/4 of his shares for Rs.75000. what is the value of business ?
Choose the correct choice from the following.
A) 170000  B) 120000  C) 130000  D) 140000  E) 150000

Solution: x*(3/4)=75000 this is cost of his owns value   on solving we get x=100000   now, y*(2/3)=100000 we get y=150000   so 150000 is the cost of whole business.   ANSW150000R:150000
Answer: E
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
Select:
A) 75	B) 81	C) 85	D) 89	E) 91

Solution: Since the numbers are co-prime, they contain only 1 as the common factor.   Also, the given two products have the middle number in common.   So, middle number = H.C.F. of 551 and 1073 = 29;   First Number = 551/29= 
551/29 = 19
19   Third Number= 1073/29= 
1073/29 = 37
37   Required sum= (19 + 29 + 37)= 
(19 + 29 + 37) = 85
85.   ANSWER :85
Answer: C
Find the largest 4 digit number which isexactly divisible by 88? Choose the correct choice
A) 7851  B) 8902  C) 9944  D) 9578  E) 9734

Solution: Largest 4 digit number is 9999   After doing 9999 ÷ 88 we get remainder 55   Hence largest 4 digit number exactly divisible by 88 = 9999 - 55= 
9999 - 55 = 9_944
9944   9944
Answer: C
The average of temperatures at noontime from Monday to Friday is 55; the lowest one is 45, what is the possible maximum range of the temperatures? Options:	A) 20	B) 25	C) 40	D) 45	E) 75

Solution: there are 5 days so the sum of temperature can be 55*5= 
55*5 = 275
275   lowest is 45. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days   so   4*45= 
  4*45 = 180
180.   on the fifth day it is   275-180= 
  275-180 = 95
95   range is therefore 95-45=40   answer 40
Answer: C
How many such letter-pairs are there in the word SMUGGLER having same no.of letters left between them as they have in the series?
Choose the correct choice from the following choices:  A) 2  B) 3  C) 4  D) 1  E) 5

Solution: S,U   2nd E,G   2NSWER:2
Answer: A
A boat can move upstream at 20 kmph and downstream at 35 kmph, then the speed of the current is?  Select the correct option:
A) 5
B) 6
C) 7.5
D) 4
E) 32

Solution: US = 20   DS = 35   M = (35 - 20)/2= 
(35 - 20)/2 = 15/2 = around 7.5
7.5   Answer: 7.5
Answer: C
The profit earned by selling an article for 912 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?  Select the correct option.
A) 960 B) 1060 C) 1,200 D) 1020 E) None of these

Solution: Let the profit or loss be x   and 912 – x = 448 + x or, x = 464⁄2 = 232   \ Cost price of the article = 912 – x = 448 + x = 680   \ SP of the article = 680 × 150⁄100 = 1020   Answer 1020
Answer: D
The ages of Krish and Vaibhav are in the proportion of 3 : 5. After 9 years, the proportion of their ages will be 3 : 4. Then the current age of Vaibhav is: Choose the correct choice from the following choices:  A) 10  B) 13  C) 15  D) 18  E) 19

Solution: Explanation:   Krish’s age = 3A and Vaibhav’s age = 5A =(3A + 9)/(5A + 9)=3/4   => 4 (3A + 9) = 3 (5A + 9)   => A = 3   Therefore, Vaibhav’s age = 15 years. Answer: 15
Answer: C
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of	Choose the correct choice from the following choices.
A) 3100  B) 6220  C) 6210  D) 6240  E) 6670

Solution: Market Value = Rs. 96.   Required Income = Rs. 650.   Here face value is not given. Take face value as Rs.100 if it is not given in the question   To obtain Rs.10 (ie,10% of the face value 100), investment = Rs.96   To obtain Rs.650, investment = 96/10×650=6240   Answer is 6240.
Answer: D
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%? Choose the correct option
A) 37.5%  B) 37.9%  C) 37.8%  D) 39.5%  E) 31.5%

Solution: Let marked price = Rs. 100.   Then, C.P. = RS. 64, S.P. = Rs. 88   Gain % = 24/64 * 100= 
24/64 * 100 = 75/2 = around 37.5
37.5%.   37.5%nswer:37.5%
Answer: A
Mr. Bhaskar is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. for how many days is Mr. Bhaskar on tour?  Choose one.
A) 20	B) 10	C) 15	D) 18	E) None of them

Solution: Suppose Mr. Bhaskar is on tour for x days. Then,   360/x - 360/x+4 = 3 <=> 1/x - 1/x+4 = 1<=> x(x+4)   = 4 x 120 ( +4)= 
( +4) = 4
4 x 120=480   <=> x2 +4x –480 = 0 <=> (x+24) (x-20) = 0 <=> x =20.   Hence Mr. Bhaskar is on tour for 20 days.   20nswer is 20.
Answer: A
Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed? Pick:
A) 36521  B) 25200  C) 45127  D) 14521  E) 47845

Solution: Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)   = 7C3 * 4C2   = 210   Number of groups each having 3 consonants and 2 vowels = 210   Each group contains 5 letters   Number of ways of arranging 5 letters among themselves   = 5! = (5 * 4 * 3 * 2 * 1)   = 210   Required number of words = (210 * 210)   = 25200   Ans: 25200
Answer: B
If a(a -1) = 20 and b(b - 1) = 20, where a ≠ b, then a + b =
Choices:
A) −48 B) −1 C) 2 D) 46 E) 67

Solution: i.e. if a = 5 then b = -4   or if a = -4 then b = 5   −1ut in each case a+b = -5+4 = -1   Answer: option −1
Answer: B
If M is the mean of x,y,z ; then what is the mean of 3x,3y and 3z
Choices:
A) M
B) 3M
C) 10M
D) M+10
E) M-10

Solution: So new mean is 3M   Answer (3M)
Answer: B
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 5 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel? Choose the correct choice from the following answers.
A) 27/343	B) 3/7	C) 27/125	D) 329/411	E) 9/125

Solution: Let us take 7*5= 
7*5 = 35
35 as the total number of customers. So  7*3= 
 7*3 = 21
21 customers bought a bagel and 5*5= 
5*5 = 25
25 customers bought a coffee.   chances that at least 1 customer bought a coffee and a bagel= 1 - chances that no customer bought a coffee and a bagel   chances that no customer bought a coffee and a bagel= 24/35*23/34*22/33*21/32*20/31=82/411   chances that at least 1 customer bought a coffee and a bagel= 1 - 82/411 = 329/411   Answer 329/411.
Answer: D
The probability that A speaks truth is 4/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?  Select the correct option.
A) 19/35
B) 18/38
C) 18/36
D) 18/16
E) 18/31

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability   = 4/5 * 4/7 + 1/5 * 3/7   = 16/35 + 3/35   = 19/35   19/35nswer: 19/35
Answer: A
Susan made a block with small cubes of 5 cubic cm volume to make a block 7 small cubes long, 7 small cubes wide and 6 small cubes deep. She realise that she has used more small cubes than she really needed. She realised that she could have glued a fewer number of cubes together ot look like a block with same dimensions, if it were made
Choose the correct choice from the following:	A) 194	B) 195	C) 196	D) 197	E) 198

Solution: Volume of cube of dimensions 7 7 6 is  7*7*6= 
 7*7*6 = 294
294   If it were to look hollow the imaginary inside cube volume is to be deducted   which is  (7-2)*(7-2)*(6-2)= 
 (7-2)*(7-2)*(6-2) = 100
100 (Here 2 is deducted because the inside cube which has to be hollow is 2 cubes more on every dimension)   so minimum number of cubes required to make hollow cube is   294-100= 
  294-100 = 194
194 cubes   194NSWER:194
Answer: A
When height of a tree is equal to the length of its shadow, what is the angle of elevation of the sun? Options:
A) 45 deg
B) 65 deg
C) 276 deg
D) 66 deg
E) 165 deg

Solution: 45 degNSWER: 45 deg
Answer: A
Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $36.34. How much did the meal cost without the tip?  Choose the correct choice from the following.
A) $28.98 B) $29.91 C) $30.15 D) $31.60 E) $30.85

Solution: The tip is a percent increase of 15%, which is 115%. Let x equal the price before the tip.   Thus, 115% of this price equals $36.34:   1.15x = 36.34   $31.60ivide both sides by 1.15:=>x=36.34/1.15= 
36.34/1.15 = 31.6
31.60   correct answer $31.60)$31.60
Answer: D
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should B pay?
Answers
A) 270 B) 360 C) 276 D) 271 E) 272

Solution: 12*8 :16*9 = 18*6   8: 12: 9   12/29 * 870= 
12/29 * 870 = 360
360   Answer: 360
Answer: B