MU-NLPC/Calc-aqua_rat huggingface dataset:
8 teams.each teams play twice with other teams.win =2poins. lose =0 points. no draw/match abandonment.top four go semis.if same points runrate considered. whats the minimum num of points with which a team may go to semis	Choose the correct option:  A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Minumum points for (may condition): 4   ANSWER:4
Answer: C
Which of the following expressions CANNOT have a negative value
Choose the correct choice from the following choices.
A) |a + b| – |a – b|
B) |a + b| – |a|
C) |2a + b| – |a + b|
D) a^2 + b^2 |+ 2|ab|
E) |a^3 + b^3| – a – b

Solution: Whenever you are required to find if the equation is a perfect square or not, try to bring everything in the form of a perfect square as they are always positive.   Of the given options, only option D can be written in from of a perfect square.   a^2+b^2+2|ab| = |a|^2 + |b|^2 + 2|a||b| = (|a| +|b|)^2.   This will always be positive.   Correct Option: a^2 + b^2 |+ 2|ab|
Answer: D
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?  Pick one:	A) 23 years	B) 17 years	C) 16 years	D) 19 years	E) 15 years

Solution: Let the average of the whole team be x years.   11x - (26 + 29) = 9(x - 1)   = 11x - 9x = 46   = 2x = 46 => x = 23   So, average age of the team is 23 years.   23 yearsnswer: 23 years
Answer: A
A milk man has 20 liters of milk. If he mixes 25 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:	Choose the correct choice:
A) 20%	B) 45%	C) 33.33%	D) 18%	E) None of these

Solution: Explanation:   when the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 liters of milk.   Therefore, profit percentage = 45 %. Answer: 45%
Answer: B
Kurt, a French painter, has 9 jars of paint: 4 jars of yellow paint, 2 jars of red paint, and 3 jars of brown paint. Kurt pours the contents of 3 jars of paint into a new container to make a new color, which he will name according to the following conditions:
The paint will be namedBrun Yif it contains 2 jars of brown paint and no yellow.
The paint will be namedBrun Xif the paint contains 3 jars of brown paint.
The paint will be namedJaune Xif the paint contains at least 2 jars of yellow.
The paint will be namedJaune Yif the paint contains exactly 1 jar of yellow.
What is the probability T that the new color will be one of theJaunecolors? Pick one:
A) 5/42	B) 37/42	C) 1/21	D) 4/9	E) 5/9

Solution: I get B.   Jaune Y = (4 choose 1)*(5 choose 2) = 4*10= 
4*10 = 40
40   Jaune X= (4 choose 2)*(5 choose 1) + (4 choose 3) = 6*5 + 4= 
6*5 + 4 = 34
34   Total combinations= 9 choose 3 = 84   Probability T of Jaune = (40 + 34)/84 = 37/42.37/42
Answer: B
Look at this series: 15, __, 27, 27, 39, 39, ... What number should fill the blank? Choices:  A) 10  B) 16  C) 18  D) 11  E) 15

Solution: 15   11   In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.
Answer: E
A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 20 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July? Choose the correct choice
A) 36%	B) 40%	C) 44%	D) 48%	E) 52%

Solution: Let x be the number of stamps in the original collection.   The percentage of the collection given away is:   0.2x + 0.2(0.8x) = 0.2x + 0.16x = 0.36x 0.2  + 0.16= 
0.2  + 0.16 = 0.36
0.36x= 36%   The answer is 36%.
Answer: A
A container can hold 4 quarts of fruit juice and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts fruit juice to 5 parts water by volume?	Choose the correct choice from the following choices:
A) 4/3  B) 5/3  C) 7/3  D) 8/3  E) 10/3

Solution: An alternate to the alligation method is the more direct/algebraic method:   Let x be the amount of water to be added.   New total amount of water = 4+x   Total amount of fruit juice = 4   New total = 4+4+x=8+x   Final ratio required (for water) = 5/(5+3)=5/8   Thus, (4+x)/(8+x) = 5/8 --> solving for x you get x = 8/3.   8/3 is thus the correct answer.
Answer: D
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 63,000 different outfits, then for how many garments does Dave have exactly five choices?
Pick.
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: There are 9 different kinds of clothes.   so if you find the prime factors of 63000   i.e. 3 * 3 * 7 * 2 * 2 *2 *5 * 5 *5 * 1   But the guy has everything greater than 1... so ignoring that there are exactly   9 factors.   and 5 is 3 times.   so Answer is 3.
Answer: D
Three unbiased coins are tossed. What is the probability of getting all tails?	Choose the correct choice
A) 7/8	B) 1/2	C) 3/8	D) 1/4	E) 1/8

Solution: Let, H --> Head , T --> Tail   Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}   Let 1/8 = event of getting two heads   Then 1/8 = {TTT}   P(1/8) = n(1/8)/n(S) =1/8
Answer: E
The function f is defined for all the positive integers g by the following rule: f(g) is the number of positive integers each of which is less than g and has no positive factor in common with g other than 1 . if p is a prime number then f(p)? Choose the correct choice from the following answers:
A) p-1  B) p-2  C) (p+1)/2  D) (p-1)/2  E) 2

Solution: The moment you put a prime number in the function f(g), notice that all the numbers lesser than g have no divisor clashing with divisor of g since g is prime!!.   For instance f(7)= {6, 5, 4, 3, 2, 1}   Thus for f(p) number of integers falling under this set will be p-1   p-1nswer :- p-1
Answer: A
A can do a work in 3days. B can do in 6days. If both A&B are working together in how many days they can finish the work?	Choose the correct choice from the following answers: A) 1 B) 3 C) 2 D) 4 E) 5

Solution: 1day work of A = 1/3   1day work of B = 1/6   1day work of A&B = 1/3 + 1/6 = 1/2   A&B finish the work in 2days   Answer is 2
Answer: C
The speed of a bus increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours? Choose the correct choice from the following answers:
A) 552 km	B) 502 km	C) 492 km	D) 422 km	E) 487 km

Solution: Explanation:   Given that distance travelled in 1st hour = 35 km   and speed of the bus increases by 2 km after every one hour   Hence distance travelled in 2nd hour = 37 km   Hence distance travelled in 3rd hour = 39 km   ..   Total Distance Travelled = [35 + 37 + 39 + ... (12 terms)]   This is an Arithmetic Progression(AP) with   first term, a=35, number of terms,n = 12 and common difference, d=2.   The sequence a , (a + d), (a + 2d), (a + 3d), (a + 4d), . . .   is called an Arithmetic Progression(AP)   where a is the first term and d is the common difference of the AP   Sum of the first n terms of an Arithmetic Progression(AP),   Sn = n/2[2a+(n−1)d]   where n = number of terms   Hence, [35+37+39+... (12 terms)]   = S12 = 122[2 × 35 +(12 − 1)2]   = 6[70 + 22] = 6 × 92 = 552   Hence the total distance travelled = 552 km   552 kmnswer: Option 552 km
Answer: A
12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?  Choose the most appropriate option
A) 2 days	B) 76 days	C) 8 days	D) 6 days	E) 4 days

Solution: 1 man's 1 day work = 1/108   12 men's 6 day's work = 1/9 * 6 = 2/3   Remaining work = 1 - 2/3 = 1/3   18 men's 1 day work = 1/108 * 18 = 1/6   1/6 work is done by them in 1 day.   1/3 work is done by them in  6 * 1/3= 
 6 * 1/3 = 2
2 days.   2 daysnswer: 2 days
Answer: A
A train has a length of 150 meters . it is passing a man who is moving at 6 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
Pick:
A) 182 km/hr
B) 180 km/hr
C) 152 km/hr
D) 186 km/hr
E) 179 km/hr

Solution: Explanation:   Length of the train, l = 150m   Speed of the man , Vm= 6 km/hr   Relative speed, Vr = total distance/time = (150/3) m/s = (150/3) × (18/5) = 180 km/hr   Relative Speed = Speed of train, Vt - Speed of man (As both are moving in the same direction)   => 180 = Vt - 6   => Vt = 180 + 6= 
180 + 6 = 186
186 km/hr   Answer: Option 186 km/hr
Answer: D
Three friends A,B and C invested Rs. 40,000, Rs.60,000 and 80,000 respectively in a business. If the annual profit is Rs. 18000 then share of B is	Pick.
A) Rs. 5000 B) Rs. 5400 C) Rs. 5500 D) Rs. 6000 E) Rs. 7000

Solution: the ratio of investment is 2:3:4 and sum of the investment ratio is 9   then the ratio of b is 3 then 3/9*18000= 
3/9*18000 = 6_000
6000   so the share of B is rs.6000   ANSWER:Rs. 6000
Answer: D
What is the remainder when 220*165*110*55 is divided by 15? Choose the correct answer: A) 12 B) 15 C) 10 D) 11 E) 18

Solution: OA is 'C'.   OE:   take the remainder from each of 220/15, 165/15 and so on..   220/15 gives remainder = 10   165/15 gives remainder = 0   110/15 gives remainder = 5   55/15 gives remainder = 10   the net remainder is the product of above individual remainders. i.e = 10*0*5*10   break them into pairs 10*0/15 gives remainder 10   and 5*10/15 gives remainder 5   so 10*5/15 gives remainder 5.   Answer: 10
Answer: C
A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ? Options:
A) 116 kmph
B) 106 kmph
C) 186 kmph
D) 126 kmph
E) 176 kmph

Solution: Explanation:   As we know that Speed = Distance / Time   for average speed = Total Distance / Total Time Taken   Thus, Total Distance = 325 + 470= 
325 + 470 = 795
795 km   Thus, Total Speed= 7.5 hrs   Average Speed = 795/7.5= 
795/7.5 = 106
> 106 kmph.   Answer: 106 kmph
Answer: B
A cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 4hours. If both the taps are opened simultaneously then after how much time will the cistern get filled?	Pick one:
A) 2hr
B) 5hr
C) 7hr
D) 1hr
E) 4hr

Solution: Net part filled in 1 hour 1/2 - 1/4 = 1/4   The cistern will be filled in 4 hr   Answer is 4hr
Answer: E
In a class of 25 students in an examination in maths 3 students scored 95 marks each, 5 get zero each and the average of the rest was 45. What is the average of the whole class?
Choose one:
A) A)47
B) B)45.6
C) C)42
D) D)48
E) E)49

Solution: Explanation:   Total marks obtained by a class of 25 students   = 3*95 + 5*0 + 17* 45= 
3*95 + 5*0 + 17* 45 = 1_050
1050   Average marks of whole class= 1050/25= 
1050/25 = 42
42   Answer: Option 42
Answer: C
A restaurant meal cost $100 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between  Pick one:
A) $100 and $110
B) $105 and $109
C) $109 and $116
D) $115 and $120
E) $111 and $115

Solution: Hence it will be between 100 * (1+10/100) and 100 * (1+15/100).   i.e b/w 110 and 115. Hence the answer $109 and $116 (b/w 109 and 116).
Answer: C
Which of the following CANNOT be the median of the 3 positive integers x, y, and z?  Select
A) x
B) z
C) x+z
D) (x+z)/2
E) (x+z)/3

Solution: The median of a set with odd number of terms is justa middle term, so it's x, y or z. Eliminate A and B right away. Now, the median can also be (x+z)/2 and (x+z)/3 (for example: {1, 2, 3} and {1, 2, 5}).   But since x, y, and z arepositiveintegers then it no way can be x+z. Why? Because a middle term (the median) cannot possibly be greater than two terms (x and z) in a set with 3 terms.   Answer: x+z.
Answer: C
Which of the following points is closest to line y=x  Select.
A) (2, -1)	B) (2, 4)	C) (-1, 1)	D) (-2, -1)	E) (-2, 0)

Solution: Attachment:   m12-20.pngAs you can see point (-2, -1) is the closest to line y=x.   Answer: (-2, -1).
Answer: D
A bag contains 6 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Choose the correct answer
A) 4 B) 4/3 C) 4/5 D) 4/9 E) 5/11

Solution: Let number of balls = (6 + 5)= 
(6 + 5) = 11
11.   Number of white balls= 5.   P (drawing a white ball) = 5/11   Hence Answer is 5/11
Answer: E
Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $80.00 on four CDs and five tapes, how much does one tape cost? Choose the correct answer
A) $5.00
B) $6.25
C) $12.00
D) $8.00
E) $100.00

Solution: C$8.00 => C   Type => T   Carol: 4C+5T=80   Anna: 12C+5T=160   12C-4C=80   8C=80   C=10   4C+5T=80   40+5T=80   5T=40   T=8   Answer is $8.00
Answer: D
If p and w are positive integers such that p > w > 1, what is the remainder when 92p × 5p+w + 11w × 6pw is divided by 10?
Choose one.
A) A.0	B) B.1	C) C.3	D) D.4	E) E.5

Solution: 92p × 5p+w + 11w × 6pw--1=B.1
Answer: B
If the mean of numbers 28, x, 42, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?  Select:
A) 78
B) 58
C) 390
D) 310
E) 66

Solution: x is common to both the series. So, x is not going to make a difference to the average.   Only the remaining 4 numbers will contribute to the difference in average between the two series.   Sum of the 4 numbers, excluding x, of the first series is 28 + 42 + 78 + 104= 
28 + 42 + 78 + 104 = 252
252   Sum of the 4 numbers, excluding x, of the second series is  48 + 62 + 98 + 124= 
 48 + 62 + 98 + 124 = 332
332   The difference between the sum of the two sets of numbers= 332 - 252= 
332 - 252 = 80
80   The sum of the second series is 80 more than the sum of the first series.   If the sum of the second series is 80 more, the average of the second series will be 80/5= 
80/5 = 16
16 more than the first series.   Therefore, the average of the second series= 62 + 16= 
62 + 16 = 78
78.   78nswer 78
Answer: A
A certain tax rate is $.42 per $100.00. What is the rate, expressed as a percent?	Select:
A) .42%  B) 4.2%  C) 0.82%  D) 0.042%  E) 0.0082%

Solution: Here in question it is asking $.42 is what percent of $ 100.Suppose $ .42 is x% of 100 means   100* (x/100) = .42   Hence x = .82 %   So answer is .42%
Answer: A
if the ratio of two no. is 5:4.and addition of that no. is 36.then tell the bigger number. Answers:
A) 15  B) 20  C) 18  D) 12  E) 24

Solution: let the ratio constant be x,   5x+4x=36   9x=36   x=4   bigger number=20   answer 20
Answer: B
Of three numbers, the third is four times the second and the second is two times the first. If their average is 165, the second number of the three numbers is:	Choices.
A) 18 B) 100 C) 90 D) 45 E) 120

Solution: Explanation:   Let first number be x.   So,2nd no. = 2x & 3rd no.=8x.   So,x+2x+8x=165 × 3 = 495   11x = 495/11   x = 495/11   Hence,first Number is x=45   so, second number is = 2 x 45=90   Answer: 90
Answer: C
The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice athe age of the son. Find the present age of the father. Answers:
A) 33  B) 34  C) 35  D) 36  E) 37

Solution: Sol. Let the son’s present age be x years. Then, father’s present age = (3x + 3) years.   Therefore (3x + 3 + 3) = 2 (x + 3) + 10   ‹=› 3x + 6 = 2x + 16 ‹=› x = 10   Hence, father’s present age = (3x + 3) = (3 x 10 + 3) years   = 33 years.   33nswer 33
Answer: A
A sum of money at simple interest amounts to Rs. 815 in 4 years and to Rs. 854 in 5 years. The sum is: Pick one
A) s. 650
B) s. 659
C) s. 698
D) s. 700
E) s. 720

Solution: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.   S.I. for 4 years = Rs.(39 x 4) = Rs. 156.   Principal = Rs. (815 - 156) = Rs. 659.   Answer: Option s. 659
Answer: B
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next? Answers: A) (1/3) B) (1/8) C) (2/8) D) (1/16) E) (1/4)

Solution: This is a simple division series; each number is one-half of the previous number.   In other terms to say, the number is divided by 2 successively to get the next result.   4/2= 
4/2 = 2
2   2/2= 
2/2 = 1
1   1/2= 1/2   (1/2)/2 = 1/4   (1/4)/2 = 1/8 and so on.   So the next number would be Option (1/8).
Answer: B
Sachin is younger than Rahul by 4 years.If their ages are in the respective ratio of 7:9, how old is Sachin ?
Choose the correct answer
A) 24.5 B) 29 C) 31 D) 26.5 E) 30.5

Solution: Let Rahul's age be x   then sachin's age = x-7   (x-7)/x = 7/9   9x-63 = 7x   x = 31.5   Sachin's age = x-7= 24.5 years   24.5nswer is 24.5
Answer: A
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 16 km/hr respectively. They will meet for the first time in?
Answers:
A) 50min
B) 40min
C) 35min
D) 25min
E) 36min

Solution: Clearly, the two will meet when they are 1000 m apart   To be   20+16= 
  20+16 = 36
36 km apart, they take 1 hour   To be 1000 m apart, they take   36 * 1000/1000= 
  36 * 1000/1000 = 36
36 min.   Answer is 36min
Answer: E
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $13,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college? Choose the correct choice from the following answers:
A) 62,000
B) 85,500
C) 95,500
D) 110,500
E) 100,000

Solution: Answer equals D in 48 years. I thought by 50th year it would reach 110,500. Options should have been separated more widely for clarity.
Answer: D
By selling 150 mangoes, a fruit-seller gains the selling price of 5 mangoes. Find the gain percent?  Choose the correct choice from the following choices:
A) 3.4% B) 2.5% C) 2.1% D) 8.5% E) 2.4%

Solution: SP = CP + g   150 SP = 150 CP + 5 SP   145 SP = 150 CP   145 --- 5 CP   100 --- ? => 3.4%   3.4%nswer:3.4%
Answer: A
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?	Choose the correct choice from the following options:
A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Let the speed of the man in still water and speed of stream be x kmph and y kmph respectively.   Given x + y = 18 --- (1)   and x - y = 10 --- (2)   From (1) & (2) 2x = 28 => x = 14, y = 4   Answer: 4
Answer: D
In how many ways 6 boys and 4 girls can be seated in a row so that they are alternative?
Choices:
A) 14420	B) 12620	C) 17280	D) 21200	E) 24560

Solution: 6 boys can be seated in 6!   4 girls can be seated in 4!   Required number = 6!4! = 17280   Answer is 17280
Answer: C
Sheela deposits Rs. 5000 in bank savings account. If this is 20% of her monthly income. What is her monthly income in?	Choose one
A) 22000
B) 20000
C) 25000
D) 22235
E) None of these

Solution: Explanation :   20% of income = Rs. 5000   100% of income = 5000 X 100/20 = Rs. 25000   Answer : 25000
Answer: C
The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares .  Choose the correct choice from the following answers:
A) 22 cm  B) 24 cm  C) 26 cm  D) 28 cm  E) 29 cm

Solution: Explanation:   We know perimeter of square = 4(side)   So Side of first square = 40/4= 
40/4 = 10
10 cm   Side of second square= 32/4= 
32/4 = 8
8 cm   Area of third Square= 10*10 - 8*8= 
10*10 - 8*8 = 36
36 cm   So side of third square= 6 [because area of square = side*side]   Perimeter = 4*Side = 4*6= 
4*6 = 24
24 cm   Answer: Option 24 cm
Answer: B
When a natural number N is successively divided by 11,12,13,14. the remainders are 15,16,17,18. What will be the sum of the remainders if the order of the division is reversed?
Select the correct option:  A) 16  B) 14  C) 12  D) 11  E) 9

Solution: 11 12 13 14   15 16 17 18   leave the top right- most number 8   start with bottom right-most number 5   18*13+17= 
18*13+17 = 251
251   251*12+16= 
251*12+16 = 3_028
3028   3028*11+15= 
3028*11+15 = 33_323
33323   this is the number required   Now, do the successive division in the reverse order   The sum of the remainders is 14   Hence, the correct option is 14
Answer: B
In a sports club with 40 members, 20 play badminton and 18 play tennis and 5 do not play either. How many members play both badminton and tennis?  Choose the correct choice from the following choices:
A) 3 B) 5 C) 6 D) 7 E) 3

Solution: 20+18= 
20+18 = 38
38   but where as total number is   40-5= 
  40-5 = 35
35   therefore answer is   38-35= 
  38-35 = 3
3   Hence Answer is 3
Answer: E
Peter purchased a machine for Rs.80,000 and spent Rs.5000 on repair and Rs.1000 on transport and sold it with 25% profit. At what price did he sell the machine? Options.
A) Rs.1,05,100
B) Rs.1,06,250
C) Rs.1,07,500
D) Rs.1,17,500
E) None

Solution: Solution   C.P	= Rs.(80000+5000+1000)   = Rs.86000   Profit= 25%.   S.P	= 12.5% of Rs. 86000   =Rs.(125/100×86000)   =Rs.107500.   Answer Rs.1,07,500
Answer: C
If the side length of Square B is sqrt(3) times that of Square A, the area of Square B is how many times the area of Square A?  Choose the correct choice from the following options
A) 9	B) 6	C) 4	D) 3	E) 2

Solution: Let x be the side length of Square A.   Then the area of Square A is x^2.   The area of Square B is (sqrt(3)x)^2=3x^2.   The answer is 3.
Answer: D
At a school, three-fourths of the male students and two-thirds of the female students speak a foreign language. If the number of males is two-thirds the number of females, what fraction of the students speak a foreign language?
Choose one:
A) 2/3	B) 3/5	C) 4/5	D) 7/10	E) 13/20

Solution: Let x be the number of students in the school.   The number of males who speak a foreign language is (3/4)(2/5)x = (3/10)x   The number of females who speak a foreign language is (2/3)(3/5)x = (2/5)x   The total number of students who speak a foreign language is (3/10)x + (2/5)x = (7/10)x   The answer is 7/10.
Answer: D
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?	Choose the correct choice from the following choices:  A) 15 m,17m  B) 15 m,16m  C) 15 m,10m  D) 15 m,90m  E) 15 m,30m

Solution: lb = 150   2(l + b) = 50 => l + b = 25   l – b = 5   l = 15 b = 10   Answer: 15 m,10m
Answer: C
A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this.He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.	Choices
A) Rs 2500	B) Rs 32500	C) Rs 22500	D) Rs 32500	E) Rs 12500

Solution: Let his total sales be Rs.x.Now(Total sales) – (Commission )=Rs.31,100   x-[(5% of 10000 + 4% of (x-10000)]=31,100   x-[((5/100)*10000 + (4/100)*(x-10000)]=31,100   x-500-((x-10000)/25)=31,100   x-(x/25)=31200  24x/25=31200x=[(31200*25)/24)=32,500.   Total sales=Rs.32,500   ANSWER Rs 32500 32500
Answer: D
Albert invested amount of 20000 in a fixed deposit for 2 years at compound interest rate of 5 % per annum. How much Albert will get on the maturity of the fixed deposit
Pick one.
A) Rs. 8510
B) Rs. 22050
C) Rs. 8730
D) Rs. 8820
E) None of these

Solution: Explanation:   =>(20000×(1+5/100)2)   =>20000×21/20×21/20   =>22050   Option Rs. 22050
Answer: B
The value of x + x(x^x) when x = 4 is	Choose one:	A) 1003	B) 1024	C) 1028	D) 1026	E) 1002

Solution: Solution:   x + x(x^x)   Put the value of x = 2 in the above expression we get,   4 + 4(4^4)   = 4 + 4(4 Ã— 4 x 4 x 4)   = 4+ 4(256)   = 4 + 1024= 
4 + 1024 = 1_028
1028   Answer: (1028)
Answer: C