MU-NLPC/Calc-aqua_rat huggingface dataset:
In the first week of the Year, ancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that ancy saved during the 52 weeks?	Pick:
A) $1,326  B) $1,352  C) $1,378  D) $2,652  E) $2,756

Solution: In the first week of the Year, ancy saved $1.If you don't recall the formula, there is one method:   1 + 2 + 3 + 4 + 5 ........ + 26 + 27 + ............ + 48 + 50 + 51 + 52   Sum of 1stlast digit = 1 + 52= 
1 + 52 = 53
53   Sum of 2nd2nd last digit= 2 + 51= 
2 + 51 = 53
53   Sum of 3rd3rd last digit= 3 + 50= 
3 + 50 = 53
53   .   .   .   .   This is repeated 26 times   So, 26 * 53= 1378   Answer = $1,378
Answer: C
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:	Options
A) 35.55 km/hr B) 36 km/hr C) 71 km/hr D) 71.11 km/hr E) 70 km/hr

Solution: Total time taken =((160/64)+(160/80))hrs=9/2hrs.   Average speed =(320 x2/9)km/hr= 71.11 km/hr.   ANSWER 71.11 km/hr
Answer: D
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.60 per kg. What will be his gain percent?	Choose the most appropriate option:	A) 8 1/7 %	B) 2 1/3 %	C) 10 %	D) 8 1/8 %	E) 8 1/9 %

Solution: C.P. of 1 kg = 420/70 = Rs. 6   S.P. of 1 kg = Rs. 6.60   Gain % = 0.60/6 * 100= 
0.60/6 * 100 = 10
10= 10 %   Answer:10 %
Answer: C
A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?	Select the correct option
A) No profit No loss
B) 4% profit
C) 2% loss
D) 2% profit
E) None of these

Solution: Let CP of an article = RS. 100   MP= Rs. 120   Discount = 20%   SP = M[(100 - d%)/100] = 120(80/100) = Rs. 96   Clearly, the trader gets 4% loss.   ANSWNone of theseR:None of these
Answer: E
In how many different ways can 6 identical blue pants and 6 identical red pants be shared among 12 children such that each child receives a pant?
Choose the correct choice:	A) 47900	B) 4790016	C) 479001	D) 47900160	E) 479001600

Solution: GGG RRR   Therefore total number of ways is   12! but there are two groups of 3 identical things.   Therefore total number of "different" ways is   12!/ (6!) (6!) = 479001600 ANS:479001600
Answer: E
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively? Answers:
A) 17:6
B) 17:3
C) 17:1
D) 17:9
E) 17:4

Solution: P:Q = 85000 : 15000   = 17:3.   Answer:17:3
Answer: B
Mamuni went to the movies nine days ago. She goes to the movies only on Thursday. What day of the week is today?
Select the correct option.
A) Sunday
B) Tuesday
C) Thursday
D) Saturday
E) Friday

Solution: Clearly, Nine days ago, it was Thursday.   Today is Saturday   ANSWER:Saturday
Answer: D
Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined Bobby had:  Choose the correct answer
A) A profit of $10 B) A profit of $8 C) A loss of $8 D) A loss of $10 E) Neither a profit nor a loss

Solution: A loss of $8ost of the first stock: 96/1.2= 
96/1.2 = 80
80, so profit from it  96-80= 
 96-80 = 16
16   A loss of $8ost of the second stock:  96/0.8= 
 96/0.8 = 120
120, so loss from it 96-120=-24   Overall loss 16-24=-8   Answer: A loss of $8.
Answer: C
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choose one:  A) 5/7  B) 5/9  C) 5/6  D) 5/4  E) 5/2

Solution: Two balls can be picked from nine balls in ⁹C₂ ways.   We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.   The required probability = (5 * 4)/⁹C₂ = 20/36 = 5/9   Answer:5/9
Answer: B
A train 125 m long passes a man, running at 9 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?  Choose the correct choice from the following answers:
A) 11
B) 50
C) 88
D) 65
E) 54

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr   = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 9) km/hr. x - 9 = 45 ==> x   = 54 km/hr.   Answer:54
Answer: E
If an object travels at three feet per second, how many feet does it travel in one hour? Select
A) 3488 B) 10800 C) 12788 D) 1800 E) 2881

Solution: Explanation:   If an object travels at 2 feet per second it covers 3x60 feet in one minute, and 3x60x60 feet in one hour.   Answer = 10800   Answer: 10800) 10800
Answer: B
In how many ways can 7 people, A, B, C, D, E, F, G be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?	Choose the correct choice from the following:
A) 384
B) 396
C) 576
D) 4944
E) 696

Solution: Number of total arrangements = 7!   Restriction 1= ABC4944 not next to each other --> let say AB and C4944 are considered as one unit, respectively   Restriction 2= AB is not the same as BA + C4944 is not the same as 4944C --> the number will increase by 2*2   Total number of arrangements - Number out of restrictions = Result   7! - (4!*2*2) = 5040 - (24*2*2)= 
5040 - (24*2*2) = 4_944
4944   Answer 4944
Answer: D
The probability that A speaks truth is 3/5 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) 18/35
B) 18/67
C) 18/78
D) 18/33
E) 18/28

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.   Probability = 3/5 * 4/7 + 2/5 * 3/7   = 12/35 + 6/35 = 18/35   18/35nswer:18/35
Answer: A
a person purchased four cloth average price of cloth is 300.price of its three cloths are 350,400,200 respectively what will be the price of fourth cloth? Options:
A) 300
B) 250
C) 200
D) 400
E) 275

Solution: sum of price of all cloth=300*4= 
300*4 = 1_200
1200   sum of price of three cloth=350+400+200= 
350+400+200 = 950
950   price of fourth cloth=1200-950= 
1200-950 = 250
250   answer 250
Answer: B
Mrs. Mary. invested $36,000; part at 5%, and part at 8%. The total interest on the investment was $2,520. How much did she invest at each rate?
Choose one.
A) x=$15,000, y =$30,000 B) x=$16,000, y =$32,000 C) x=$12,000, y =$24,000 D) x=$5,000, y =$10,000 E) x=$13,000, y =$26,000

Solution: I approached this question like a mixture problem.   I don't like the wordingpartat 5% andpartat 8% because we have variables x and y in the answer choices and I have no idea which one is x or y.   Anyway here's how I did it.   0.05(x) + 0.08(y) = 0.07(x+y)   0.01(y) = 0.02(x)   y = 2x   Note: 0.07(x+y) because $2,520 is 7% of 36,000   In which answer choice is y = 2(x)   Answer x=$12,000, y =$24,000
Answer: C
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $324 per week. How much does she earn in dollars per hour? Pick: A) 11 B) 10 C) 9 D) 8 E) 7

Solution: Let Sheila earn x dollars per hour   So, on Monday, Wednesday and Friday , she earns 8x each   And, on Tuesday and Thursday, she earns 6x each   In total , over the week she should earn, 3(8x) + 2(6x) = 36x   She earns $324 per week   36x =324   x =9   Correct Option : C. 9
Answer: C
What is the difference between the compound interest on Rs.12000 at 30% p.a. for one year when compounded yearly and half yearly? Choose the correct choice from the following choices: A) 399 B) 383 C) 270 D) 288 E) 133

Solution: When compounded annually, interest   = 12000[1 + 30/100]1 - 12000 = Rs.3600   When compounded semi-annually, interest   = 12000[1 + 15/100]2 - 12000 = Rs.3870   Required difference = 3870- 3600 = Rs.270   Answer: 270
Answer: C
Of three numbers, the third is twice the first and the second is 4 times the first. If their average is 77, the smallest of the three numbers is:
Choose the correct answer
A) 18
B) 25
C) 20
D) 32
E) 33

Solution: Explanation:   Let first number be x.   So,2nd no. = 4x & 3rd no.=2x.   So,x+4x+2x=77 × 3 = 231   7x = 231   x = 231/7   Hence,smallest Number x=33   Answer: 33
Answer: E
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:  Choose the most appropriate option:	A) 4 days	B) 8 days	C) 2 days	D) 12 days	E) 6 days

Solution: Suppose A, B and C take x,	x/2 and x/3 days respectively to finish the work.   Then,1/x+ 2/x + 3/x = 1/2   6/x = 1/2   x = 12.   So, B takes (12/2)= 
(12/2) = 6
6 days to finish the work   ANSW6 daysR:6 days
Answer: E
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.48, find the sum of money?	Choose the correct choice:
A) 288	B) 262	C) 246	D) 205	E) 267

Solution: A:B:246 = 100:65:40   = 20:13:8   8 ---- 48   41 ---- ? => Rs.246   Answer: 246
Answer: C
The ratio between the current age of A and B is 6:7. If B is 4 years old than A. What will be the ratio of the ages of A and B after 4 years?	Choose the correct answer:
A) 7:8	B) 8:9	C) 4:6	D) 4:8	E) 5:8

Solution: 7:8   7:8   If 7:8’s age and B’s age will be 67:8 years and 77:8 years correspondingly   Then, 77:8 – 67:8 = 4   7:8 = 4   Needed ratio = (67:8 + 4) : (77:8 + 4)   = 28 : 32   = 7 : 8
Answer: A
How many seconds does Sandy take to cover a distance of 700 meters, if Sandy runs at a speed of 18 km/hr?
Choose the most appropriate option.
A) 100 B) 120 C) 140 D) 160 E) 180

Solution: 18 km/hr = 18000 m / 3600 s = 5 m/s   time = 700 / 5= 
700 / 5 = 140
140 seconds   The answer is 140.
Answer: C
Company P had 15 percent more employees in December than it had in January. If Company P had 500 employees in December, how many employees did it have in January?  Choose the correct answer
A) 391  B) 435  C) 410  D) 423  E) 445

Solution: D = number of employees in December   J = number of employees in January   J x 1.15 = D   J x 1.15 = 500   J = 500/1.15   J = 50,000/115 = 435   Thus 435 is the correct answer.
Answer: B
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 25 hours after they passed each other the ratio of the speeds of the two trains was	Choose the correct choice from the following answers:	A) 2:1	B) 3:2	C) 4:3	D) 5:2	E) 1:2

Solution: Explanation:   Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)   Therefore, Ratio of the speeds of two trains = = 5 : 2. Answer: 5:2
Answer: D
Two-fifths of thirty per cent of one-fourth of a number is 15. What is 20 per cent of that number?
Choose the correct choice from the following answers
A) 90  B) 150  C) 100  D) 120  E) None of these

Solution: Let the number = x   2⁄5 × 30⁄100 × x⁄4 = 15   or x=15×5×100/2×30=500   20% of 500 = 100   Answer 100
Answer: C
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?  Choose the correct choice
A) 13 kmph
B) 15 kmph
C) 12 kmph
D) 16 kmph
E) 18 kmph

Solution: Let the distance travelled by x km.   Then, x - x = 2   10 15   3x - 2x = 60   x = 60 km.   Time taken to travel 60 km at 10 km/hr = 60 hrs = 6 hrs.   10   So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.   Required speed = 60 kmph. = 12 kmph.   5   12 kmph
Answer: C
At the end of the day one market stall had 16 apples and 48 oranges left. Another market stall had 36 apples and 24 oranges left. What is the difference between the percentages of apples left in the two market stalls?	Choices.
A) 39% B) 37% C) 38% D) 35% E) 40%

Solution: D   35%   First stall 16 out of 64= 25%.   Second stall 36 out of 60 = 60%.   35%ifference in percentages = 35%.
Answer: D
If 2^5, 3^3, and 14^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?	Pick:	A) 26	B) 39	C) 42	D) 65	E) 168

Solution: Here 156 has three two's   two three's   and one 14   rest of them must be in w   so w= 14*3*4= 
14*3*4 = 168
168   Smash 168
Answer: E
If a car went the first third of the distance at 60 kmh, the second third at 24 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
Choose the correct choice:
A) 38 kmh
B) 40 kmh
C) 42 kmh
D) 44 kmh
E) 50 kmh

Solution: 38 kmhssume D/3 = 240 (this number is convenient because it is divisible by 60, 24 and 48)   So:   240 = 60*T1 = 4 hrs   240 = 24*T2 = 10 hrs   240 = 48*T3 = 5 hrs   T = T1 + T2 + T3 = 19 hrs   D = RT   (240*3) = R*19   R = 38   38 kmhNSWER: 38 kmh
Answer: A
A candidate appearing for an examination has to secure 35% marks to pass paper I. But he secured only 42 marks and failed by 23 marks. What is the maximum mark for paper I?  Choose the correct choice
A) 110  B) 120  C) 186  D) 140  E) 150

Solution: he secured 42 marks nd fail by 23 marks so   total marks for pass the examinatn=65   let toal marks x   x*35/100=65   x=186   ANSWER:186
Answer: C
A man swims downstream 42 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?	Choose the correct choice from the following answers:
A) 2  B) 8  C) 9  D) 6  E) 10

Solution: 42 --- 3 DS = 14   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (14 + 6)/2= 
(14 + 6)/2 = 10
10   Answer: 10
Answer: E
Suppose you want to buy three loaves of bread that cost $2.25 each
and a jar of peanut butter that costs $2. A jar of jelly is $2.75, but you
donâ€™t need any jelly. You have $14. How much money will you have left
over?	Answers:	A) $1.50	B) $2.50	C) $5.25	D) $4.50	E) $5.50

Solution: The jelly is extra information. 14.00 â€“ 3 x 2.25 â€“ 2.00 =   14.00 â€“ 6.75 â€“ 2.00 = 5.25.   You have $5.25 left.   correct answer $5.25
Answer: C
A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 600. Find the sum?
Choose one
A) 7000	B) 7029	C) 2778	D) 2800	E) 5000

Solution: Let the sum be Rs. x.   (x * 18 * 2)/100 - (x * 12 * 2)/100 = 600 => 36x/100 - 24x/100 =600   => 12x/100 = 600 => x = 5000.Answer:5000
Answer: E
A number is divided by 406 leaves remainder 115 , What will be the reminder when it will be divided by 29?
Pick one
A) 28  B) 99  C) 27  D) 26  E) 81

Solution: Let the number be N.   So N = 406x + 115.   Now divide this number by 29. As 406 is exactly divisible by 29, we have to divide 115 by 29 and find the remainder. So remainder = 28   28nswer:28
Answer: A
The average of 11 results is 42, if the average of first six results is 49 and that of the last six is 52. Find the sixth result? Choose the correct choice from the following answers
A) 121  B) 156  C) 144  D) 125  E) 123

Solution: 1 to 11 = 11 * 42= 
11 * 42 = 462
462   1 to 6= 6 * 49= 
6 * 49 = 294
294   6 to 11= 6 * 52= 
6 * 52 = 312
312   6th= 294 + 312 â€“ 462 = 144   Answer:144
Answer: C
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Choose one.
A) 432	B) 212	C) 252	D) 992	E) 212

Solution: 2(3x + x) = 96   l = 36 b = 12   lb = 36 * 12= 
36 * 12 = 432
432 432nswer:432
Answer: A
A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 2 a rupee. Find his net profit or loss percent?  Pick one.
A) 34 % B) 30 % C) 50 % D) 150 % E) 33%

Solution: The total number of mangoes bought by the shopkeeper be 10.   If he buys 5 a rupee, his CP =2   He selling at 2 a rupee, his SP = 5   Profit = SP - CP = 5 - 2= 
5 - 2 = 3
3   Profit Percent= 3/2 * 100= 
3/2 * 100 = 150
150 %   Answer:150 %
Answer: D
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is :
Select the correct option:	A) Rs. 1386	B) Rs. 1764	C) Rs. 1575	D) Rs. 2268	E) None of these

Solution: Solution   Let P.W. be Rs. x. Then, S.I on Rs. X at 16% for 9 months = Rs. 189.   ∴ xX 16x9/12x1x100 = 189 or x = 1575.   ∴ P.W = Rs. 1575.   ∴ Sum due =P.W + T.D. = Rs. (1575+189) = Rs. 1764.   Answer Rs. 1764
Answer: B
What will come in place of the x in the following Number series? 2, 7, 10, 22, 18, 37, 26, x	Choose the correct choice from the following answers.
A) 224 B) 35 C) 36 D) 42 E) 52

Solution: There are two series here   2, 10, 18, 26, ... (Increase by 8)   7, 22, 37, ... (Increase by 15)   Hence, next term is   37+15= 
  37+15 = 52
52   52
Answer: E
What is the smallest of six consecutive odd integers whose average (arithmetic mean) is b + 2?  Choose the correct choice from the following answers
A) b -3 B) b- 6 C) b- 1 D) b E) b+ 1

Solution: Since the numbers are consecutive odd integers, mean = median = 3rd integer + 4th integer /2   b -3nd 1st integer= 3rd integer- 4   let's say 3rd integer = n and 4th integer = n+2   2n+2/2= b+2   n= b+1   1st integer= b+1-4= b-3   b -3 is the answer
Answer: A
5% of (25% of $1600) is?  Select: A) $20 B) $30 C) $45 D) $15 E) $60

Solution: 5% of (25% of $1600) = 5/100 (25/100 * 1600) = $20   $20nswer is $20
Answer: A
The volume of a cube is 343 cc. Find its surface. Choose the correct choice from the following choices.
A) 864
B) 556
C) 294
D) 287
E) 267

Solution: a3 = 343 => a = 7   6a2 = 6 * 7 * 7= 
6 * 7 * 7 = 294
294   Answer:294
Answer: C
Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.5, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket? Choose the correct choice from the following.
A) 3
B) 10
C) 18
D) 20
E) 21

Solution: E.   Let number of quarters be q. Therefore , dimes are 3q and nickels are 18q.   Total value = 18q(.5) + 3q(0.1) + .25q =9.55q   Given total value = 10.15   therefore, 9.55q=10.15 or q=1   Number of dimes = 3q = 3   3nswer : 3
Answer: A
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:	A) 140	B) 175	C) 210	D) 245	E) 280

Solution: In 72 minutes, car X travels 42 miles.   Car Y gains 6 miles each hour, so it takes 7 hours to catch car X.   In 7 hours, car X travels 245 miles.   The answer is 245.
Answer: D
a, b are positive integers. The remainder of a to be divided by 5 is 4 and the remainder of b to be divided by 3 is 1
Which is possible to be the remainder of a*b to be divided by 24
Choose the correct choice from the following:	A) a) 2	B) b) 4	C) c) 8	D) d) 12	E) e) 20

Solution: Two ways to do it...   a=5x+4..   b=3y+1.   1) convenient way..   Take x and y as 0, and you will get a*b as   4*1= 
  4*1 = 4
4   Answer : b) 4
Answer: B
The current of a stream runs at the rate of 4 kmph. A boat goes 12 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choose the correct choice from the following answers: A) A)17.33 B) B)2 C) C)18 D) D)16 E) E)13.21

Solution: S = 4   M = x   DS = x + 4   US = x - 4   12/(x + 4) + 12/(x - 4) = 2   x = 13.21   Answer:13.21
Answer: E
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.  Choose the correct choice:
A) 10 cm
B) 20cm
C) 30 cm
D) 40 cm
E) 50 cm

Solution: Let breadth = x. Then, length = 2x. Then,   (2x - 5) (x + 5) - 2x * x = 75 <=> 5x - 25 = 75 <=> x = 20.   :. Length of the rectangle = 20 cm.   Option 20cm
Answer: B
In a company of 200 employees, 120 are females. A total of 100 employees have advanced degrees and the rest have a college degree only. If 40 employees are males with a college degree only, how many employees are females with advanced degrees?  Choose the correct choice from the following answers.
A) 60	B) 70	C) 80	D) 90	E) 100

Solution: The number of males is 200-120= 
200-120 = 80
80.   The number of males with advanced degrees is 80-40= 
80-40 = 40
40.   The number of females with advanced degrees is   100-40= 
  100-40 = 60
60.   The answer is 60.
Answer: A
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages? Choices.
A) 16, 28, 35  B) 16, 28, 36  C) 16, 28, 39  D) 16, 28, 34  E) 16, 28, 31

Solution: Let their present ages be 4x, 7x and 9x years respectively.   Then, (4x - 8) + (7x - 8) + (9x - 8) = 56   20x = 80 => x = 4   Their present ages are 16, 28 and 36 years respectively.Answer: 16, 28, 36
Answer: B
Pipes A and B can fill a tank in 4 and 6 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in? Pick one.
A) 3/2hr  B) 24/7 hr  C) 1hr  D) 9/7hr  E) 5/3hr

Solution: Net part filled in 1 hour = 1/4 + 1/6 - 1/8 = 7/24   The tank will be full in 24/7 hr   Answer is 24/7 hr
Answer: B
A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 20 on Wednesday, what would be the value of D calculated on the following Saturday?
Choose the correct answer:  A) 2800  B) 3400  C) 3800  D) 4200  E) 4500

Solution: On Saturday, the value would be   7*6*5*20= 
  7*6*5*20 = 4_200
4200   The answer is 4200.
Answer: D
A hall is 15 meters long and 15 meters wide. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall (in cubic meters)?  Choose the correct choice from the following options.
A) 975.5 B) 1250.5 C) 1465.5 D) 1687.5 E) 1824.5

Solution: 2HL + 2= 
+ 2 = 2
2LW   H= LW / (L+W)   Volume = LWH = (LW)^2 / (L+W) = 1687.5   The answer is 1687.5.
Answer: D
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Choose the correct choice from the following:
A) 3.75
B) 3.76
C) 3.79
D) 3.74
E) 3.71

Solution: 1/6 + 1/10 = 8/30 = 4/15   15/4= 
15/4 = 15/4 = around 3.75
3.75 days   3.75nswer: 3.75
Answer: A
Possible arrangements for the word REVIEW if one E can't be next to the other.  Choose the correct choice from the following choices:
A) 100  B) 200  C) 300  D) 400  E) 500

Solution: 1) All arrangements: 6!/2 = 360 (1/2 in order to exclude double counting as [E1, E2] is the same as [E2,E1])   2) All arrangements with two E together: 5!/2 = 60   3) All arrangements in which one E can't be next to the other:  360 - 60= 
 360 - 60 = 300
300.   ANSWER:300
Answer: C
A ball team plays games only against the other five teams in its league and always in the following order: John, Paul, George, Ringo and Pete. If the team’s final game of the season is against Ringo, which of the following could be the number of games in the team’s schedule?	Choose the correct choice from the following answers:
A) 18	B) 12	C) 24	D) 72	E) 81

Solution: IMO 'C' is the answer.   Matches will be in multiples of 5x+4. The answer that satisfies this condition is 24
Answer: C
The radius of the wheel of a bus is 70 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is	Pick:
A) 200
B) 250
C) 300
D) 330
E) None of these

Solution: Radius of the wheel of bus = 70 cm. Then,   circumference of wheel = 2πr = 140π = 440 cm   Distance covered by bus in 1 minute   = 66⁄60 × 1000 × 100 cms   Distance covered by one revolution of wheel   = circumference of wheel   = 440 cm   ∴ Revolutions per minute = 6600000/60×440 = 250   Answer 250
Answer: B