MU-NLPC/Calc-aqua_rat huggingface dataset:
A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $220. The cost for 1 bat and 6 balls is $190, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $270 for the purchase?
Choose the correct option:	A) 1	B) 2	C) 3	D) 4	E) 5

Solution: IMO it should be C that is 4   reason:   formed an equation... bat = b ball = c   2b+4c=220   1b+6c=190   solving both we get b that is bat = 70 and c that is ball = 20   new equation 270 to be divided in equal   3b+3c=270   3*70 + 3*20= 
3*70 + 3*20 = 270
270   210+ 60= 
210+ 60 = 270
270
Answer: C
Find large number from below question The difference of two numbers is 2415. On dividing the larger number by the smaller, we get 21 as quotient and the 15 as remainder
Choose the correct choice from the following options
A) 1209
B) 1324
C) 1245
D) 1300
E) 2535

Solution: Let the smaller number be x. Then larger number = (x + 2415).   x + 2415 = 21x + 15   20x = 2400   x = 120   Large number = 120+2415= 
120+2415 = 2_535
2535   Answer : 2535
Answer: E
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets $2.40 per hour for regular work and $3.20 per hours for overtime. If he earns $432 in 4 weeks, then how many hours does he work for ?  Choose the correct choice.
A) 135
B) 278
C) 175
D) 195
E) 200

Solution: C   175   Suppose the man works overtime for x hours.   Now, working hours in 4 weeks = (5 x 8 x 4) = 160.   160 x 2.40 + x x 3.20 = 432   3.20x = 432 - 384= 
432 - 384 = 48
48   x= 15.   Hence, total hours of work = (160 + 15)= 
(160 + 15) = 175
175.
Answer: C
At a certain store, the price of a pair of shoes is ten dollars more than three times the price of a pair of jeans and the price of a sweater is fifty percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ? Pick one.
A) 1.5j + 10
B) 3j + 20
C) 4.5j + 30
D) 5.5j + 30
E) 8.5j + 25

Solution: Ans 8.5j + 25   Given   Price of Jeans = J   Price of shoes = 10+3J   Price of Sweater = 1.5(10+3J)   Total Price of all three items = J+10+3J+1.5(10+3J) = 25+8.5J
Answer: E
X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is ?  Choose the most appropriate option.
A) 60229
B) 62887
C) 60000
D) 61298
E) 61291

Solution: Suppose Y invested Rs. y. Then 40000/y   = 2/3 or y   = 60000 .   Answer: 60000
Answer: C
In a four numbers set, the second number is twice the first number, the first is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is:  Choose the correct choice from the following answers
A) 9  B) 25  C) 30  D) 35  E) None of these

Solution: Explanation :   Let the fourth number be x.   Then, third number = 5x, first number = 5x/3   And second number = 10x/3   x + 5x + 10x/3 + 5x/3 = (33 x 4) or 11x = 132 or x = 12.   So, the numbers are 20, 40, 60 and 12.   Largest number = 60.   Answer : 35
Answer: D
There are 84 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 14 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?  Select the correct option:
A) 20
B) 31
C) 42
D) 49
E) 64

Solution: x + (x - 14) = 84 --> x = 49.   Answer: 49.
Answer: D
In covering a distance of 30 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:  Answers:
A) 5 km/h  B) 8 km/h  C) 10 km/h  D) 15 km/h  E) 25 km/h

Solution: Let A's speed be X km/hr.   Then, 30/x - 30/2x = 3   6x = 30   x = 5 km/hr.   5 km/hnswer : 5 km/h.
Answer: A
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?  Select the correct option
A) 10	B) 15	C) 16	D) 24	E) 28

Solution: Sol. In this case, repetitions are not allowed. So, the first prize can be given in 4 ways. The second in 3 ways and the third in 2 ways. But fundamental principle, (4 x 3 x 2) ways = 24 ways   4: Or 4p = — 4:- 4X3X2X1- 24 ways   24
Answer: D
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choose the correct choice from the following choices:
A) 180	B) 290	C) 729	D) 720	E) 125

Solution: Let the five numbers be P, Q, R, S and T.   => P + Q + R + S + T = 655.   (P + Q)/2 = 85 and R = 125   P + Q = 170 and R = 125   P + Q + R = 295   S + T = 655 - (P + Q + R) = 360   Average of the last two numbers = (S + T)/2 = 180.   180nswer:180
Answer: A
At Sandi’s Pet Shop, 25 cups of bird seed are used every 5 days to feed 15 parakeets. How many cups of bird seed would be required to feed 14 parakeets for 7 days?  Pick
A) 40.5  B) 32.34  C) 6.23  D) 9  E) 15

Solution: Let's go step-by-step.   25 cups are used over a 5 day period, which means 5 cups a day. This feeds 15 parakeets, which means each parakeet needs 1/3 of a cup every day.   For 14 parakeets, we need 14*1/3cups = 4.62 cups a day. Over 7 days, we need 32.34 cups. Choice 32.34.
Answer: B
A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 850 in 4 years. The
rate on interest per annum is.  Choose the correct option:
A) 4.20% B) 50% C) 60% D) 6.25% E) 8.10%

Solution: Explanation:   S.I. on Rs 800 for 1 year = 50   Rate = (100*50)/(800*1)= 
(100*50)/(800*1) = 25/4 = around 6.25
6.25%   Answer: 6.25%
Answer: D
The ratio of the age of a gentleman and his wife is 4 : 3. After 4 years this ratio will be 9 : 7. If at the time of their marriage the ratio was 5 : 3, how many years ago they were married? Pick:
A) 10 years  B) 8 years  C) 12 years  D) 15 years  E) 17 years

Solution: Let the present age of gentleman (G) and wife (W) be 4x and 3x resp....   thus after 4 yrs the ratio will be (4x+4)/(3x+4)=9:7..   on solving we get the value as x=8..i.e present ages are G=32,W=24...   Now at the time of marriage the ratio will be :   (32-y)/(24-y)=5:3   on solving we get y=12...   Thus 12 yrs ago they got married.   ANSWER:12 years
Answer: C
Set A is {1, 3, 5, 7, 9}
Set B is {12, 14, 16, 18, 20}
For the sets of numbers above, which of the following is true?
I. The mean of Set B is greater than the mean of Set A.
II. The median of Set B is greater than the median of Set A.
III. The standard deviation of Set B is greater than the standard deviation of Set A.
Choose the correct answer:
A) I only  B) I and II only  C) I and III only  D) II and III only  E) I, II, and III

Solution: The mean and median of Set A is 5.   The mean and median of Set B is 16.   Thus statements I and II are both true.   The standard deviation is related to the distance from the mean.   Since the elements of both sets are spaced identically around the mean (+/- 2, +/- 4), the standard deviations of both sets are equal.   The answer is I and II only.
Answer: B
If r = 2^4 * 5^2 * 7 and s = 2^3 * 3^2 * 5, which of the following is equal to the greatest common divisor of r and s?
Choices.
A) 2 * 5
B) 2^2 * 5
C) 2^3 * 5^2
D) 2*3*5*7
E) 2^3 * 3^2 * 5^2 * 7

Solution: GCD = product of prime factors raised to the least power = 2^3 * 5   The answer is 2^2 * 5.
Answer: B
A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 25% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk?  Choose the correct choice:
A) 1:20
B) 1:10
C) 1:8
D) 1:4
E) 21:124

Solution: water = w (liter)   Milk = m (liter)   ==> Cost = Price x Quantity = 0.33m   ==> Revenue = Price x Quantity = 0.36(m + w)   ==> Profit =0.36(m+w) - 0.33m = 0.25*(0.33m)[25% of cost]   ==> 0.36m + 0.36w - 0.33m = 0.0825m   ==> 0.0525m = 0.36w   ==> m/w = 0.36/0.0525 = 124/21   --OR--   w/m = 21/124   21:124 is correct.
Answer: E
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Choose the correct choice from the following options
A) 9  B) 5  C) 6  D) 2  E) 1

Solution: Explanation:   x + y = 15   2x â€“ 3y = 5   x = 10 y = 5   Answer: 5
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Choose the correct choice from the following answers.
A) 238
B) 177
C) 120
D) 298
E) 1771

Solution: Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.   Length of the train = 20 * 6= 
20 * 6 = 120
120 m.   Answer: 120
Answer: C
Sudhir started a business with Rs.10,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be	Choose the correct answer
A) 1:2  B) 2:3  C) 4:3  D) 3:4  E) 3:5

Solution: 10000*12:60000*(12-8)   =120000 :240000   =1:2   1:2NSWER:1:2
Answer: A
The average of 20, 70 and 180 is twice the average of 10, 30, and which of the following ? Choose one
A) 1)10 B) 2)30 C) 3)60 D) 4)90 E) 5)95

Solution: 20 70 180 = 180+90= 
180+90 = 270
270/3= 
270/3 = 90
90.   90/2= 
90/2 = 45
45   10 30 x= 40+x/3 should be smaller than 45   cross multiply 45*3-40= 
45*3-40 = 95
95   5)95
Answer: E
In digging a pond 20 m * 10 m * 8 m the volumes of the soil extracted will be?  Choose the correct choice:
A) 3387
B) 1600
C) 2866
D) 2787
E) 1121

Solution: 20 * 10 * 8= 
20 * 10 * 8 = 1_600
1600   Answer: 1600
Answer: B
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.55 less, he could have gained 25%. What is the cost price?
Choose the correct choice from the following options
A) 197
B) 375
C) 275
D) 278
E) 268

Solution: 275P1 = 100 SP1 = 120   275P2 = 80 SP2 = 80 * (125/100)= 
80 * (125/100) = 100
100   20 ----- 100   55 ----- ?=> 275   Answer:275
Answer: C
In how many ways can 21 books on English and 19 books on French be placed in a row on a shelf so that two books on French May not be Together ? Options:	A) 3990	B) 1540	C) 1995	D) 3672	E) None of these

Solution: In order that two books on French are never together, we must place all books as under   X E X E X E X E X E .....X E X   where E denotes the position of an English book and X that of a French book.   Since there are 21 books on English, the number of places marked X are therefore, 22.   Now, 19 places out of 22 can be chosen in 22C19 = 22C3 = (22x21x20)/(3x2x1) = 1540 ways   Answer 1540.
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?  Select the correct option
A) 20  B) 21  C) 22  D) 23  E) 24

Solution: It's basic set theory problem using venn diagram.   Draw three intersecting circles 1,2,3. and name all the parts a,b,c,d,e,f,g. 'e' being common in all circles.   these will be the equation.   a+b+c+d+e+f+g= 100 ........(1)   a+b+d+e=48.......................(2) (members are writing first exam)   b+e+f+c=45........................(3) (members are writing second exam)   d+e+f+g=38........................(4) (members are writing third exam)   e=5......................................(5) (members are writing all the three exams)   we have to find the value of d+b+f=?   add eq 2,3,4 and put the value of a+c+g from 1.   you will get d+b+f=21.   ANSWER:21
Answer: B
A single discount equivalent to the discount series of 20%, 10% and 5% is?	Answers
A) 31.5	B) 31.9	C) 31.6	D) 31.3	E) 31.1

Solution: 100*(80/100)*(90/100)*(95/100)= 
100*(80/100)*(90/100)*(95/100) = 342/5 = around 68.4
68.4   100 - 68.4= 
100 - 68.4 = 31.6
31.6   Answer: 31.6
Answer: C
Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?  Choose the correct choice from the following answers:
A) 75
B) 45
C) 23
D) 28
E) 96

Solution: Average = (76 + 65 + 82 + 67 + 85)/5 = 375/5= 
375/5 = 75
75.   75nswer: 75
Answer: A
On dividing 16698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?	Choose the most appropriate option:
A) 743 B) 154 C) 187 D) 741 E) 785

Solution: Divisor *quotient+remainder=dividend   divisor=(dividend)-(remainder)/quotient   (16698-14)/89=187   Answer(187)
Answer: C
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 148, what is the difference between the ages of Patrick and Monica?	Pick one.
A) 27 B) 48 C) 45 D) 72 E) 18

Solution: Ages of P and Mi=3x+5x   Ages of Mi and Mo=3x:5x   Rationalizing their ages. ratio of their ages will be 9x:15x:25x   Sum=47x=148   x=3   Difference if ages of Pa and Mo=25x-9x=16x25 -9= 
25 -9 = 16
16x=16*3= 
16*3 = 48
48   Answer 48
Answer: B
In a class of 10 students there are 3 girls. In how many ways can they be arranged in a row such that no three girls are consecutive? Choose the correct choice from the following:
A) 32*6!  B) 42*8!  C) 25*5!  D) 45*5!  E) 52*9!

Solution: Number of girls = 3   Number of boys = 7   7 boys can be arranged in a row in 7! ways   Now there are 8 places for 3 girls   3 girls can be arranged in 8P3 ways   Required number of ways = 8P3 * 7! = 8!*7!/5! = 42*8!   Answer is 42*8!
Answer: B
A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?  Choices.
A) 378  B) 288  C) 287  D) 646  E) 217

Solution: 840 = P [1 + (10*3)/100]   P = 646   Answer: 646
Answer: D
A number whose fifth part increased by 7 is equal to its fourth part diminished by 7 is ?	Select:
A) 160 B) 180 C) 200 D) 280 E) None

Solution: Answer   Let the number be N.   Then, (N/5) + 7 = (N/4) - 7   â‡’ (N/4) - (N/5) = 14   â‡’ (5N - 4N)/20 = 14   âˆ´ N = 280   Option: 280
Answer: D
If the product of the integers from 1 to n is divisible by 630, what is the least possible value of n?	Choose one:	A) 7	B) 14	C) 21	D) 28	E) 35

Solution: 630 = 2 x 3 x 3 x 5 x 7   N must include at least up to the number 7.   The answer is 7.
Answer: A
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?  Pick one.
A) 3 B) 7 C) 4 D) 2 E) 1

Solution: 150 = (750*5*R)/100   R = 4%   Answer: 4
Answer: C
By using the numbers 0, 2, 3, 4 and 5 only once, how many five digit numbers can be made that are divisible by 4?
Choose the most appropriate option:
A) 20
B) 40
C) 1120
D) 60
E) 30

Solution: A number to be divisible by 4 must end with 04, 08, 12,16 ,20 ,24.....   So, there are the following cases possible:   235-04 --> the first three digits can be arranged in 3=6 ways.   035-24 --> the first three digits can be arranged in 3=6 ways.   045-32 --> the first three digits can be arranged in 3=6 ways.   235-40 --> the first three digits can be arranged in 3=6 ways.   034-52 --> the first three digits can be arranged in 3=6 ways   Total = 6+6+6+6+6= 
6+6+6+6+6 = 30
30.   Answer: 30.
Answer: E
Roberto has three children: two girls and a boy. All were born on the same date in different years. The sum of the ages of the two girls today is smaller than the age of the boy today, but a year from now the sum of the ages of the girls will equal the age of the boy. four years from today, the difference between the age of the boy and the combined ages of the girls will be  Options
A) 1  B) 2  C) -3  D) –2  E) –1

Solution: Approach I (Plugin's)   Girl I ............... Girl II ................ Boy   1 ....................... 1 ........................ 3 (Assume the current ages)   1 + 1 < 3 .......... (Satisfies the given condition)   1 Year later there ages are   2 ....................... 2 ......................... 4   2 + 2= 
2 + 2 = 4
4 ............ (Satisfies the given condition)   After 4 years there ages are   5 ....................... 5 ............................ 7   Difference= 7 - (5+5) = 7 - 10 = -3   Answer = -3
Answer: C
How many minutes does it take John to type u words if he types at the rate of x words per minute? Answers:  A) x/y  B) u/x  C) xy  D) 60x/y  E) y/(60x)

Solution: time*rate=job --> time*x=u --> time=u/x.   Answer: u/x.
Answer: B
Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 9, and 12, what is the value of r? Choose the correct option:
A) 5 B) 17 C) 18 D) 22 E) 29

Solution: From the triangle inequality rule, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, the three inequalities are:   1. q + 9 > 12   2. 9 + 12 > q   3. q + 12 > 9   Equation 3 is true for any positive value of q.   From equation 1, q > 3   From equation 2, 21 > q   Then 21 > q > 3 so q can be any value from 4 to 20 inclusive.   The number of possible values is 17.   The answer is 17.
Answer: B
John makes $60 a week from his job. He earns a raise andnow makes $78 a week. What is the % increase? Choose the most appropriate option:  A) 16.12%  B) 16.66%  C) 30%  D) 17.66%  E) 18.1%

Solution: Increase = (18/60)*100 = (3/10)*100= 
(3/10)*100 = 30
30%.   30%
Answer: C
Tom bought 2 shares and sold them for $60 each. If he had a profit of 25% on the sale of one of the shares but a loss of 40% on the sale of the other share, then on the sale of both shares Tom had	Choose the correct choice from the following:
A) a profit of $50
B) a loss of $50
C) a profit of $60
D) a loss of $60
E) neither a profit nor a loss

Solution: total CP = 6000/125 + 6000/60 = 80 + 100= 
80 + 100 = 180
180   SP=60*2= 
60*2 = 120
120   loss= Rs 60/-   Answer: a loss of $60
Answer: D
The cost price of a radio is Rs.1890 and it was sold for Rs.1500, find the loss %?
Pick one.
A) 18
B) 20
C) 77
D) 66
E) 41

Solution: 1890 ---- 390   100 ---- ? => 20%   Answer: 20
Answer: B
John has 1,210 Dogs in his house. If exactly 40 percent of all dogs in home are tagged, what percent of the untagged dogs must be tagged so that half of all dogs in the home are tagged?
Choose the correct choice from the following choices:	A) 25.5	B) 30.33	C) 33	D) 37	E) 16.6

Solution: All dogs =1210   Currently Tagged = 1210*40/100= 
1210*40/100 = 484
484   So Untagged dogs= 1210 - 484= 
1210 - 484 = 726
726   Half of all dogs=605   The number of dogs to be tagged to make half of all dogs tagged = 605-484= 
605-484 = 121
121   So now the question remains - 121 is how much percentage of untagged dogs (726)= 121 * 100 /726   = 16.6%   Answer (16.6)
Answer: E
The unit's digit in the product 274 × 318 × 577 × 313 is
Pick:
A) 2
B) 3
C) 4
D) 5
E) 6

Solution: Solution   Required digit	= Unit digit in(4×8×7×3).   = 2.   2nswer 2
Answer: A
Pipes A and B can fill a tank in 7 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
Choose one.
A) 1 13/17 hours	B) 2 8/11 hours	C) 3 9/17 hours	D) 4 8/19 hours	E) None

Solution: Solution   Net part filled in 1 hour	= (1/7 + 1/6 -1/12)   = 19/84.   Therefore, the tank will be full in 84/19 hrs.	â€¹=â€º 4 8/19 hrs.   Answer 4 8/19 hours
Answer: D
Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?  Choices:
A) 1/18  B) 64/4032  C) 63/64  D) 1/9  E) 1/4

Solution: Explanation :   No of ways of selecting two squares from 64 squares on the chess board is 64C2.   Three cases arise:   case 1: when first square is any of the four corner ones   In this case second square can be chosen in 2 ways   no of ways of selecting two squares: 4*2= 
4*2 = 8
8   case2: when first square is any of the 24 squares on the side of the chess board other than the corner ones   the second square can be chosen in 3 ways   no of ways of selecting two squares: 24*3= 
24*3 = 72
72   case 3: the first square is any of the 36 remaining squares   the second square can be chosen in 4 ways   no of ways of selecting two squares: 36*4= 
36*4 = 144
144   Total no of ways of selecting two adjacent squares= 8 + 72 + 144= 
8 + 72 + 144 = 224
224   So required probability= 224/64C2 = 224/4032 = 1/18   1/18nswer : 1/18
Answer: A
The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.2210. The perimeter of the plot is?  Choose the most appropriate option:  A) 126  B) 156  C) 340  D) 321  E) 260

Solution: Sol. Let width = x, Length = (10+x)   Perimeter = 2(x+(10+x))   = 2(2x=10)   & 2(2x+10)*6.5 = 2210   X = 80   Required perimeter = 2(80+90) = 340   340
Answer: C
The radius of the two circular fields is in the ratio 4: 10 the area of the second field is what percent greater than the area of the first?  Choose one:	A) 72%	B) 96%	C) 94%	D) 84%	E) 82%

Solution: r = 4 Ï€r2 = 16   r = 10 Ï€r2 = 100   100 Ï€ â€“ 84 Ï€   100 ---- ? =>84%.Answer:84%
Answer: D
If y = 35p, and p is prime, what is the greatest common factor of y and 42p, in terms of p?	Choices:
A) p  B) 2p  C) 5p  D) 7p  E) p^2

Solution: y = 35p = 5*7*p   42p = 2*3*7*p   The greatest common factor of 30p and 20p is the product of all the common prime factors, using the lower power of repeated factors. The greatest common factor is 7*p = 7p   The answer is 7p.
Answer: D
A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
Choose the correct option
A) 11  B) 28  C) 27  D) 29  E) 271

Solution: Explanation:   One day's work of A, B and C = (1/24 + 1/30 + 1/40) = 1/10   C leaves 4 days before completion of the work, which means only A and B work during the last 4 days.   Work done by A and B together in the last 4 days = 4 (1/24 + 1/30) = 3/10   Remaining Work = 7/10, which was done by A,B and C in the initial number of days.   Number of days required for this initial work = 7 days.   Thus, the total numbers of days required = 4 + 7= 
4 + 7 = 11
11 days.   11nswer: 11) 11 days
Answer: A
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:	Choices
A) 1008 B) 1015 C) 1022 D) 1032 E) 1122

Solution: Explanation :   Required number = (L.C.M. of 12,16, 18, 21, 28) + 7   = 1008 + 7= 
1008 + 7 = 1_015
1015   ANSWER IS 1015
Answer: B
If every 2 out of 3 readymade shirts need alterations in the sleeves, and every 4 out of 5 need it in the body, how many alterations will be required for 60 shirts ?	Choose the correct choice from the following: A) 88 B) 123 C) 133 D) 143 E) 153

Solution: no.of Alteration required in 1 shirt is (2/3)+(4/5)+(3/4)=133/60   for 60 shirts it will  60*(133/60)= 
 60*(133/60) = 133
133   ANSWER:133
Answer: C
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss? Answers
A) 280	B) 670	C) 230	D) 67	E) 120

Solution: 280   x*(85/100) = (480 - x)119/100   x = 280
Answer: A
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? Choose the correct option.
A) 198 ways
B) 128 ways
C) 100 ways
D) 108 ways
E) 208 ways

Solution: The boy can select one trouser in nine ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 12= 
  9 * 12 = 108
108 ways   Answer:108 ways
Answer: D
A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?  Choose one:	A) 1200	B) 1100	C) 1500	D) 1700	E) 1600

Solution: Assume that the total profit is x   Since 5% goes for charity, 95% of x will be divided between A and B in the ratio 3:2   Therefore, A's profit =(95x/100)×(3/5)   Given that A's share is Rs. 855. Therefore,   (95x/100)×(3/5)=855   ⇒(95x/100)=855×5/3=285×5=1425   ⇒x=(1425×100)/95=(285×100)/19=1500   Hence the total profit = 1500   Answer is 1500.
Answer: C