MU-NLPC/Calc-aqua_rat huggingface dataset:
In a class there are a total of 8 rows of desks and each desk can seat one student. There are 10 desks in the first row. In each subsequent row there are 2 more desks than in the previous row. Find the maximum number of students seated in the class? Pick:
A) 112
B) 144
C) 136
D) 132
E) 118

Solution: The 8 rows form an Arithmetic progression with first term 10 and last 24. Avg is 17.   so 17*8= 
17*8 = 136
136   Answer is 136.
Answer: C
In how many ways can the letters of word CREMATION be arranged such that NO two vowels appear together?	Choose the most appropriate option:
A) 9!
B) 5!*4!
C) 4!*5!
D) 5!*4!*2!
E) 6!*4!

Solution: No 2 vowels together = the only arrangement possible will be C V C V C V C V (with V=vowel, C=consonant). This is true as we have 4 vowels and 5 consonants and any other combination will force us to pair 2 vowels together.   Thus, the number of arrangements possible : 5 *4 *4 *3 *3 *2 *2*1 = 4!*5! ----> 4!*5! is the correct answer.
Answer: C
A factory produces 4560 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?	Choose the correct choice from the following:
A) 1140 toys	B) 2375 toys	C) 3375 toys	D) 4375 toys	E) 5375 toys

Solution: To find the number of toys produced every day, we divide the total number of toys produced in one week (of 4 days) by 4.   4560 / 4= 
4560 / 4 = 1_140
1140 toys   correct answer 1140 toys
Answer: A
A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have? Choose the correct choice from the following options: A) Rs. 460 B) Rs. 484 C) Rs. 550 D) Rs. 664 E) none

Solution: (4/15)A = (2/5)B   A = (2/5 * 15/4)B   A = (3/2)B   (A/B) = (3/2)   A : B = 3: 2   B's share = Rs. (1210 * 2/5) = Rs. 484   Answer = Rs. 484
Answer: B
Train starts from amritsar to Bombay at 9am. It reaches destination after 3days at 9:30am. Every day a train starts. How many trains does it come across on the way ?	Choose the correct choice from the following answers:
A) 5th
B) 4th
C) 6th
D) 7th
E) 8th

Solution: because one train taking 3 days   so 1 train first day   another at second day   and 3rd one at third day   but as given train reaches at 9.30 am insted of 9.oo am   so d same day train already left   that train will be 4th train.   ANSWER:4th
Answer: B
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 60 units raises the average to 55 units per day, what is the value of n ? Choose the correct answer: A) 30 B) 18 C) 10 D) 9 E) 1

Solution: (average production for n days) * n = (total production for n days) --> 50n=(total production for n days);   (total production for n days) + 60 = (average production for n+1 days) * (n+1) --> 50n + 60 = 55 * (n+1) --> n=1.   Answer: 1.
Answer: E
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent? Choose the correct choice from the following options:	A) 26%	B) 25%	C) 15%	D) 28%	E) 55%

Solution: SP = CP + g   150 SP = 150 CP + 30 SP   120 SP = 150 CP   120 --- 30 CP   100 --- ? => 25%   Answer:25%
Answer: B
There were two candidates in an election. Winner candidate received 56% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Answers:
A) 776	B) 1344	C) 299	D) 257	E) 125

Solution: W = 56% L = 44%   56% - 44% = 12%   12% -------- 288   56% -------- ?  56  - 44= 
 56  - 44 = 12
12%   12% -------- 288   56% -------- ?=> 1344   Answer:1344
Answer: B
Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has gotten?
Choose the correct option.
A) 750
B) 375
C) 875
D) 525
E) 625

Solution: Explanation:   CP = 100, SP (with tax) =120   New SP = 100 - 5= 
100 - 5 = 95
95   \therefore Effective discount= 120 - 95= 
120 - 95 = 25
25   So, at SP of 95 ----> discount= 25   and at SP of 3325 -----> discount = 25/95=3325=875.   Answer: 875
Answer: C
A 2-year certificate of deposit is purchased for E dollars. If the certificate earns interest at a n annual rate of 6 percent compound quarterly, which of the following represents the value, in dollars, of the certificate at the end of 2 years?  Choose the correct option
A) k(1.06)^2
B) k(1.06)^8
C) k(1.015)^2
D) E(1.015)^8
E) k(1.03)^4

Solution: Annual Rate of interest= 6%   Quaterly rate of interest= 6/4= 
6/4 = 3/2 = around 1.5
1.5%   Now, periods of compounding in 2 years= 8 (8 quarters)   Thus E(1.015)^8   Answer: E(1.015)^8
Answer: D
Farm Tax is levied on the 50% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
Choose the most appropriate option:	A) 15%	B) 25%	C) 0.125%	D) 0.2083%	E) none

Solution: This will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village. That leads to (480/3840)x100 =12.5%in percentage terms.   But the question asks ratio between his total land to total cultivated land. Hence the answer is 12.5%x (100/50) = 25%   The correct answer is (25%).
Answer: B
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.15 km and 0.6 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Choices
A) 42
B) 9
C) 7
D) 67
E) 15

Solution: :   Relative speed = 60 + 90= 
60 + 90 = 150
150 km/hr.= 150 * 5/18 = 125/3 m/sec.   Distance covered = 1.15 + 0.6= 
1.15 + 0.6 = 1.75
1.75 km= 1750 m.   Required time = 1750 * 3/125= 
1750 * 3/125 = 42
42 sec.   42nswer: 42
Answer: A
In the fifth grade at Parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 86% of the students that play soccer are boys. How many girl student are in Parkway that is not playing soccer?
Choose the most appropriate option.
A) 69.
B) 73.
C) 81
D) 91
E) 108

Solution: Total students = 420   Boys = 312, Girls = 108   Total playing soccer = 250   86%of 250 = 215 are boys who play soccer.   Girls who play soccer = 35.   Total girls who do not play soccer = 108 - 35= 
108 - 35 = 73
73.   Correct option: 73.
Answer: B
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?	Choose the correct choice from the following choices:
A) 9%
B) 10%
C) 11%
D) 12%
E) 15%

Solution: x discount on Pony jeans, (0.22 - x) discount on Fox jeans.   Set the equation: 3*15(0.22 - x) + 2*18x = 9 --> x = 0.1 = 10%.   Answer: 10%.
Answer: B
4^15 is equal to which of the following?
Pick one.
A) 1,073,751,828  B) 1,073,751,824  C) 1,073,751,842  D) 1,073,751,806  E) 1,073,751,821

Solution: Given that the answers have different last digits, there are several ways to solve this, but the most straight forward way is to check the algorithm. 4^n has a cycle of 1.   4^1 = 4   4^2 = 16   4^3 = 64   Observe that the last digit of the resultant of 4^1 and 4^3 is 4. If we continue 4^n, the last digit follows the pattern 4, 6, 4, 6, 4, 6, .... So, all we need look for is the last digit in the pattern.   Cycle of 1, power of 15, last digit is 4.   Answer: 1,073,751,824
Answer: B
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 $468 per week. How much does she earn in dollars per hour?  Select the correct option:
A) 2 B) 8 C) 9 D) 11 E) 13

Solution: Explanation:   Total hours worked = 8 x 3 + 6 x 2 = 36   Total earned = 468. Hourly wage = 468 / 36= 
468 / 36 = 13
13   Answer: 13
Answer: E
The Shopkeeper increased the price of a product by 22% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?	Choose the correct choice
A) A)12.5% B) B)12.2% C) C)13.15% D) D)14% E) E)15%

Solution: Quantity X Rate = Price   1 x 1 = 1   0.7 x 1.22 = 0.854   Decrease in price = (0.122/1) × 100 = 12.2%   12.2%)
Answer: B
I sold a book at a profit of 10%. Had I sold it for $140 more, 15% would have been gained. Find the cost price?	Choose one:
A) $2000
B) $2500
C) $3000
D) $2800
E) $1540

Solution: 115% of cost - 110% of cost = $140   5% of cost = $140   cost = 140*100/5= 
140*100/5 = 2_800
$2800   Answer is $2800
Answer: D
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? Options:
A) 720 B) 127 C) 137 D) 129 E) 112

Solution: The word 'LEADING' has 7 different letters.   When the vowels EAI are always together, they can be supposed to form one letter.   Then, we have to arrange the letters LNDG (EAI).   Now, 5 (4 + 1) letters can be arranged in 5! = 120 ways.   The vowels (EAI) can be arranged among themselves in 3! = 6 ways.   Required number of ways = (120 x 6) = 720.   720nswer: 720
Answer: A
In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?	Choose the correct choice from the following choices
A) 145m B) 829m C) 822m D) 929m E) 132mj

Solution: By the time A covers 1000 m, B covers  (1000 - 50)= 
 (1000 - 50) = 950
950 m.   By the time B covers 1000 m, C covers  (1000 - 100)= 
 (1000 - 100) = 900
900 m.   So, the ratio of speeds of A and C=   1000/950 * 1000/900 = 1000/855 So, by the time A covers 1000 m, C covers 855 m.   So in 1000 m race A beats C by 1000 - 855= 
1000 - 855 = 145
145 m.   145mnswer:145m
Answer: A
0.009/x=0.05. find the value of X	Choose the correct choice:
A) 0.00018 B) 0.09 C) 0.018 D) 0.18 E) 90

Solution: x=0.009/0.18= 
0.009/0.18 = 0.05
0.05   ANSWER:0.18
Answer: D
If a: b = 7: 5, b: c = 9: 11, find a: b: c?
Choices
A) 63: 45: 58 B) 63: 45: 55 C) 63: 45: 53 D) 63: 45: 59 E) 63: 45: 58

Solution: a: b = 7: 5   b: c = 9: 11   a: b: c = 63: 45: 55   Answer: 63: 45: 55
Answer: B
A man swims downstream 32 km and upstream 24 km taking 4 hours each time, what is the speed of the man in still water? Choose the correct choice from the following choices:	A) 9	B) 8	C) 6	D) 7	E) 2

Solution: 32 --- 4 7S = 8   ? ---- 1   24 ---- 4 US = 6   ? ---- 1 M = ?   M = (8 + 6)/2= 
(8 + 6)/2 = 7
7   Answer: 7
Answer: D
how many number of three digit numbers can be formed usingzs numbers 2,3,4,5 in which no repeatation..?  Choose the correct choice from the following answers:
A) 24
B) 34
C) 18
D) 16
E) 12

Solution: 4*3*2= 
4*3*2 = 24
24   1 place of digit can be filled with 4 no   2 place of digit can be filled with 3 no (as 1 is already filled and not available)   3 place of digit can be filled with 2 no   so 24 ways   24NSWER:24
Answer: A
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?  Options:
A) 11  B) 20  C) 98  D) 77  E) 12

Solution: 900 ---- 180   100 ---- ? => 20%   Answer: 20
Answer: B
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choose the correct choice from the following answers
A) 299
B) 249
C) 245
D) 289
E) 271

Solution: Speed = 45 * 5/18 = 25/2 m/sec.   Time = 30 sec   Let the length of bridge be x meters.   Then, (130 + x)/30 = 25/2   x = 245 m.   Answer: 245
Answer: C
Two trains 151 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choose the correct choice from the following answers:  A) 7.19  B) 7.18  C) 7.16  D) 7.84  E) 7.12

Solution: T = (151 + 165)/ (80 + 65) * 18/5   T = 7.84   Answer: 7.84
Answer: D
To fill an art exhibit, the boys in an art course are assigned to create one piece of artwork each in the following distribution: 1/3 are sculptures, 1/8 are oil paintings, 1/2 are watercolors, and the remaining 10 pieces are mosaics. How many boys are in the art class? Choose the correct choice from the following choices:
A) 80
B) 120
C) 240
D) 320
E) 400

Solution: Let the total number of boys in the art class = s   Distribution of artwork is as   1/3 are sculptures   1/8 are oil paintings   1/2 are watercolors, and the remaining 10 pieces are mosaics   (1/3)s +(1/8)s +(1/2)s + 10 = s   Since remaining 10 pieces are mosaics , (1/24)s = 10   s = 240   Answer 240
Answer: C
Let Q represent a set of six distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
Choose one
A) 1  B) 2  C) 5  D) 3  E) 7

Solution: Q = p1+p2+p3+p4+p5+p6 = even (and all primes are distinct)   if the least prime is 2 then we have sum of Q = odd....hence 2 is not possible1 is not prime.   next least prime is 3, this satisfies the given condition that sum of Q = even.   Ans. D. 3
Answer: D
If 20% of a = b, then b% of 20 is the same as:  Choose the correct option
A) 4% of a  B) 5% of a  C) 20% of a  D) None of these  E) 8% of a

Solution: 4% of answer: Option 4% of a   20% of 4% of a=B= 20/100 4% of a=B   B % OF 20= B/100*20=20/100 4% of a *1/100*20=4/1004% of a=4% OF 4% of a
Answer: A
An article costs Rs. 600. What should be the marked price of an article so that after 10% discount, the trader makes 20% profit?  Choose the correct answer.
A) Rs. 802
B) Rs. 800
C) Rs. 8029
D) Rs. 888
E) Rs. 8128

Solution: Explanation:   Cost price of article = Rs. 600   Profit % = 20%   Therefore,   selling price of article = 120% of C.P.   = (120 / 100) * 600 = Rs. 720   Marked price = ?   Discount % = 10%   S.P. = Rs. 720   90% of M.P. = S.P.   90/100 * M.P. = 720   M.P. = 720 * (100/90) = Rs. 800'   ANSWER: Rs. 800
Answer: B
The average expenditure of a man for the first five months is Rs.120 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is : Pick.
A) Rs.140	B) Rs.150	C) Rs.160	D) Rs.170	E) none

Solution: Explanation:   Total income = Rs.(120×5+130×7+290)=Rs.1800   Average monthly income   = Rs. (1800/12)=Rs.150   Correct Option: Rs.150
Answer: B
Total 100 members are writing exam. In the 48 members are writing first exam. 45 members are writing second exam. 38 members are writing third exam. 5 members are writing all the three exams. How many members are writing 2 exams?
Choices:	A) 66	B) 21	C) 88	D) 719	E) 011

Solution: otal number of exams written by 100 students = 48 + 45 + 38= 
48 + 45 + 38 = 131
131   Now let us say x members are writing only 1 exam, y members are writing only 2 exams, z members are writing only 3 exams.   Therefore, x + 2y + 3z= 131 also x + y + z = 100.   Given that z = 5. So x + 2y = 116 and x + y = 95.   Solving we get y = 21.   So 21 members are writing exactly 2 exams.   Answer:21
Answer: B
Evaluate: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)	Answers:
A) 7/100	B) 8/100	C) 9/100	D) 6/100	E) 3/100

Solution: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)   = (9/10)(10/11)(11/12)...(98/99)(99/100)   = 9/100 : simplify   correct answer 9/100
Answer: C
A man’s speed with the current is 17 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :
Select
A) 8.5 km/hr
B) 12 km/hr
C) 10 km/hr
D) 12.5 km/hr
E) None of these

Solution: Solution   Man's rate in still water = (17-2.5) km/hr = 14.5 km/hr.   Man's rate against the current = (14.5-2.5) km/hr = 12 km/hr Answer 12 km/hr
Answer: B
A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Choose the correct choice from the following choices
A) 22 minutes	B) 88 minutes	C) 70 minutes	D) 77 minutes	E) 48 minutes

Solution: 1/20 - 1/28 = 1/70   70 minutes   Answer:70 minutes
Answer: C
Shopkeeper rise price by 34% and gives successive discount of 10% and 15%. What is overall % gain or loss?
Options.
A) 2.51%
B) 4.51%
C) 3.51%
D) 6.51%
E) 7.51%

Solution: Let d initial price be 100   34 % rise   now price = 134/100*100= 
134/100*100 = 134
134   10% discount   Then price= 134 * 90/100= 
134 * 90/100 = 603/5 = around 120.6
120.6   15 % discount   Then price= 120.6 * 85/100= 
120.6 * 85/100 = 102.51
102.51   So Gain= 102.51 - 100= 
102.51 - 100 = 2.51
2.51   Gain %= Gain * 100 /CP   ==> 2.51 * 100 /100= 
2.51 * 100 /100 = 2.51
2.51%   2.51%NSWER:2.51%
Answer: A
On a test, students receive 5 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as the correct answer. If a student marks B for the first 3 questions and C for the last 3 questions, what is the minimum possible score that student can receive?
Choose the correct choice from the following answers
A) -6
B) -1
C) 0
D) 1
E) 6

Solution: For the minimum possible score, let us take the worst case scenario   Suppose, he gets all of the last 3 qs wrong whose correct answer options are B and one of the first 3 qs wrong whose correct option is C   In that case, he will get only 2 out of the first 3 qs right.   Therefore, minimum possible score=(5*2)-(4*1)= 
(5*2)-(4*1) = 6
6   Answer 6
Answer: E
The ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After 2 years the ratio of the age of the son to that of his mother becomes 3 : 10. What is the present age of the father?  Pick.
A) 30 years B) 28 years C) 37 years D) Data inadequate E) None of these

Solution: S⁄F = 1⁄5 ⇒ F = 5S   M⁄F = 4⁄5 ⇒ M = 4⁄5 F   S+2/M+2=310   10S + 20 = 30 M + 6 10  + 20= 
10  + 20 = 30
30 M + 6= 3 × 4⁄5 5S + 6 = 12S + 6   \ 2 S = 14 ⇒ S = 7 years   \ F = 5S = 35 years   Answer None of these
Answer: E
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Choose the most appropriate option:
A) 9:6
B) 9:8
C) 9:0
D) 9:3
E) 9:2

Solution: (3*6 + 6*6): (4*12)   54:48 => 9:8   Answer:9:8
Answer: B
The difference of two numbers is 11. One third of their sum is 7. What are the two numbers?
Choose the correct choice from the following choices
A) 21,10
B) 16,5
C) 3,14
D) 11,10
E) 7,14

Solution: Let the two numbers be x and y.   Equation (i): x - y = 11   Equation (ii): (x + y)/3 = 7   Solve system of equations:   x + y = 21   x - y = 11   (add equations together) --- 2x = 32 --- x=16   16 - y = 11 --- y=5   Since x=16 and y=5, answer 16,5 (16,5) is correct.
Answer: B
A shade of paint is made by evenly mixing m gallons of white paint, costing $12 a gallon, with n gallons of blue paint, costing $30. What is the cost, in dollars per gallon, of the resulting mixture? Select:
A) 12m +30n
B) 42(12m +30n)
C) (12m +30n)/42
D) (12m +30n)/(M+ N)
E) 42(M+ N)/(12m +30n)

Solution: M gallons of white paint and N gallons of blue paint are combined to form a new mixture. The total number of gallons in the new mixture will be M + N gallons   M gallons of white paint cost $12, so the cost of adding this mixture is 12M   N gallons of blue paint cost $30, so the cost of adding this mixture is 30N   The cost per gallon of the new mixture is equal to the total cost of all the paint used divided by the total number of gallons used to produce it:   cost of new mixture: 12M + 30N   total gallons used: M+N   cost per gallon = total cost/total gallons used = (12M + 30N)/(M+N)   ANSWER:(12m +30n)/(M+ N)
Answer: D
If the population of a certain country increases at the rate of one person every 20 seconds, by how many persons does the population increase in 30 minutes? Choose the correct choice from the following choices:
A) 55  B) 20  C) 96  D) 90  E) 40

Solution: Answer = 3 * 30= 
3 * 30 = 90
90   Answer= 90
Answer: D
The smallest 3 digit prime number is:	Choices
A) 250  B) 365  C) 789  D) 412  E) 101

Solution: Explanation:   The smallest 3-digit number is 100, which is divisible by 2.   100 is not a prime number.   101 < 11 and 101 is not divisible by any of the prime numbers 2, 3, 5, 7, 11.   101 is a prime number.   Hence 101 is the smallest 3-digit prime number.   ANSW101R 101
Answer: E
By selling a watch for Rs.560/-, a man loses 20% what is that watch cost price?
Options:
A) s. 600/-  B) s. 700/-  C) s. 800/-  D) s. 850/-  E) s. 900/-

Solution: 80 % ------> 560 (80 * 7 = 640)   100 % ------>700 (100 * 7 = 700)   Cost price = Rs. 700/-   s. 700/-)
Answer: B
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient? Choose the correct choice from the following:
A) 0
B) 12
C) 13
D) 20
E) 22

Solution: Number = (12 * 35)= 
(12 * 35) = 420
420   Correct quotient= 420/21= 
420/21 = 20
20   ANSWER:20
Answer: D
A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?  Choose the most appropriate option.
A) 3888 B) 2799 C) 2799 D) 1200 E) 2771

Solution: Let the parts be x, y and [2600 - (x + y)].   Then,   (x * 4 * 1)/100 = (y * 6 * 1)/100 = {[2600 - (x + y)] * 8 * 1}/100   y/x = 4/6 = 2/3 or y = 2/3 x   So, (x * 4 * 1)/100 = [(2600 - 5/3 x) * 80/100   52x = (7800 * 8) => x = 1200   Money invested at 4% = Rs. 1200.Answer:1200
Answer: D
If the area of circle is 452 sq cm then its circumference?  Choose the correct choice from the following answers:
A) 21	B) 88	C) 75	D) 78	E) 12

Solution: 22/7 r2 = 452 => r = 12   2 * 22/7 * 12 = 75   Answer: 75
Answer: C
The diameter of a wheel is 0.7 m. How far will it travel in 200 revolutions	Select the correct option:
A) 4.4 m  B) 220 m  C) 440 m  D) 560  E) 650

Solution: Diameter(d) = 0.7 m   Circumference of the wheel,   = 2 * pi *R = d * pi   = 0.7 * 3.14= 
0.7 * 3.14 = 2.198
2.198 m.   In one revolution, wheel will covered= 2.198 m,   So, in 200 revolution, it will cover = 200 *2.198 = 4.396 m = 440 m (Approx).   Answer: Option 440 m
Answer: C
John left home and drove at the rate of 35 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?
Choose the correct choice from the following options:
A) 235 miles. B) 245 miles. C) 255 miles. D) 265 miles. E) 275 miles.

Solution: The total distance D traveled by John is given by   D = 35 * 2 + 3 * 55= 
35 * 2 + 3 * 55 = 235
235 miles.   235 miles.nswer 235 miles.
Answer: A
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 C pay? Choose the correct choice from the following answers.
A) 270  B) 199  C) 676  D) 156  E) 122

Solution: 12*8 :16*9 = 18*6   8: 12: 9   9/29 * 870= 
9/29 * 870 = 270
270   270nswer: 270
Answer: A
40% of a number is more than 20% of 650 by 190. Find the number?  Choose the correct option:  A) 288  B) 282  C) 800  D) 277  E) 232

Solution: (40/100) * X – (20/100) * 650 = 190   2/5 X = 320   X = 800   Answer:800
Answer: C
Machine A working alone can complete a job in 9 hours. Machine B working alone can do the same job in 12 hours. How long will it take both machines working together at their respective constant rates to complete the job?
Choose the correct answer.
A) 21/8
B) 27/5
C) 12/7
D) 36/7
E) 15/7

Solution: Machines ( A ) ( B ) (A+B)   ---Time - 9 - ( 12 ) -   ---Rate 4 --- 3 --- 7   --Work 36 ---36 --36   A+B = (36/7)   36/7
Answer: D