MU-NLPC/Calc-aqua_rat huggingface dataset:
A ladies hostel had provision of food for 150 women for 25 days. After 5 days, 25 women left the hostel. The number of days for which the remaining food will last is:  Choose the correct option
A) 64
B) 50
C) 28
D) 26
E) 24

Solution: Explanation :   After 5 days : 150 women had food for 20 days.   Suppose 125 women had food for x days.   Now, Less women, More days (Indirect Proportion)   125 : 150 :: 20 : x   => 125 x x = 150 x 20   => x = 150 x 20 / 125   => x = 24.   Answer : 24
Answer: E
You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 2 baseball cards. How many baseball cards do you have at the end?  Choose the most appropriate option.
A) 11
B) 12
C) 13
D) 14
E) 15

Solution: Solution   Start with 16 baseball cards.   John takes 3 baseball cards from you:   16 - 2= 
  16 - 2 = 14
14 baseball cards.   So you have 14 at the end.   Correct answer : 14
Answer: D
A certain rectangular window is (2/5) times as long as it is wide. If its perimeter is 28 feet, what are its dimensions in terms of length by width?  Pick one.
A) 12 by 2  B) 11 by 3  C) 10.5 by 3.5  D) 10 by 4  E) 9 by 3

Solution: 2x+2y=28   x+y=14   x+(2/5)x=14   1.4x=14   x=10   Answer 10 by 4
Answer: D
A certain fruit stand sold cherry for $0.70 each and guava for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ? Choose the correct choice from the following:
A) 11	B) 12	C) 13	D) 14	E) 15

Solution: Some multiple of 7 + Some multiple of 5 should yield 63. To get to a some multiple of 5, we should ensure that a 3 or 8 (5+3) should be a multiple of 7.   63 is a direct multiple of 7, however in this case there won't be any bananas. Hence the next option is to look for a multiple of 7 that has 8 as the unit digit. 28 satisfies this hence no. of apples is 4 and no of bananas is 7   11
Answer: A
A train covers a distance of 9 km in 6 min. If it takes 5 sec to pass a telegraph post, then the length of the train is? Choose the most appropriate option:
A) 100
B) 105
C) 110
D) 120
E) 125

Solution: Speed = (9/6 * 60) km/hr = (90 * 5/18) m/sec = 25 m/sec.   Length of the train = 25 * 5= 
25 * 5 = 125
125 m.   Answer: Option 125
Answer: E
How many natural numbers that are less than 10,000 can be formed using the digits 0, 1, 2, 3, 4, 6, 7 & 8?
Choose the correct choice from the following answers.
A) 5000 B) 4096 C) 6560 D) 4095 E) 8000

Solution: Solution:   We are missing digits 5 and 9 in the question. So we have 8 digits for each position (ones,tens,hundreds,thousands).   The numbers that can be constructed using 8 digits in 4 positions = (8 x 8 x 8 x 8) - 1 (To disregard the case 0000)   = 4096 - 1= 
4096 - 1 = 4_095
4095   If you have use 10 digits (0 thru 9), you have (10 x 10 x 10 x 10) - 1= 9999 numbers.   Answer 4095.
Answer: D
A woman has three blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
Choose the correct option:	A) 8	B) 12	C) 16	D) 17	E) 18

Solution: total ways = 3*3*2=18..   now its better to find the ways in which the pink blouse and green skirt are together and subtract from total to get the answer..   the ways in which the pink blouse and green skirt are together=1*1*2=2..   total ways =18-2=16..   ANSWER:16
Answer: C
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 4 ?	Select the correct option:
A) 1/3 B) 1/2 C) 1/6 D) 1/5 E) 1/4

Solution: (6,2) (2,6) (5,3) (3,5) (4,4) – only 5 possible scenarios for sum to be 8. One from this 5 has already happened.   From this five cases, only in one we have 4. So, the probability is 1 chances out of 5 that the one that occurred had 4: P=1/5.   Answer: 1/5.
Answer: D
A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 54.Find the number of notes of Rs.50 denomination.	Choices
A) 15  B) 21  C) 37  D) 19  E) 21

Solution: Total Money = Rs. 10350.   Let 50 rupees note was X.   Then 500 rupees note = 54 - X   Now,   50*X + 500 * (54 - X) = 10350   50X + 27000 - 500X = 10350   - 450X = - 16650   X = 37.   No. of 50 rupees note = 37.   Answer: Option 37
Answer: C
Sue's trail mix is 30% nuts and 70% dried fruit. Jane's trail mix is 60% nuts and 40% chocolate chips. If the combined mixture of Sue and Jane's trails mix contains 45% nuts, what percent of the combined mixture is dried fruit?  Choices
A) 25%
B) 30%
C) 35%
D) 40%
E) 45%

Solution: 45% is 15%-points above 30% and 15%-points below 60%.   So the ratio of Sue's mix to Jane's mix is 1:1.   1/2*70= 
1/2*70 = 35
35%   The answer is 35%.
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 22 seconds, what is the ratio of their speeds? Choose the correct choice from the following answers.
A) 1:1 B) 3:1 C) 2:3 D) 3:2 E) 3:4

Solution: Let the speed of the trains be x and y respectively   length of train1 = 27x   length of train2 = 17y   Relative speed= x+ y   Time taken to cross each other = 22 s   = (27x + 17 y)/(x+y) = 22   = (27x + 17 y)/ = 22(x+y)   = 5x = 5y   =x/y = 5/5= 
5/5 = 1
1/1 i.e 1:1   1:1nswer :1:1
Answer: A
Aamir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings? Pick:
A) 29998
B) 77827
C) 26772
D) 12800
E) 21212

Solution: Let the monthly salary of Aamir be Rs. x.   68% of x = 27200   => x = (27200 * 100)/68= 
(27200 * 100)/68 = 40_000
40000   His savings= 32/100 * 40000= 
32/100 * 40000 = 12_800
12800.   Answer: 12800
Answer: D
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 3 years the amount to be paid is? Select
A) 8118  B) 8127  C) 8618  D) 8436  E) 8128

Solution: A = 7500(26/25)3   = 8436   Answer: 8436
Answer: D
Jacob is now 12 years younger than Michael. If 5 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?	Select:  A) 3  B) 7  C) 11  D) 21  E) 25

Solution: Jacob=x years, Mike=x+12 years   5 years from now,   2(x+5)=x+17   2x+10=x+17   x=7   x+4=11 years   Answer 11
Answer: C
Three numbers are in the ratio 4:2:5 and their H.C.F is 12. The numbers are: Choose the correct choice from the following options
A) 4, 2, 5	B) 5, 10, 15	C) 10, 20, 30	D) 48, 24, 60.	E) 12, 24, 60

Solution: Let the required numbers be 4x, 2x and 5x. Then, their H.C.F = x. So, x = 12.   The numbers are 48, 24, 60.   ANSWER:48, 24, 60.
Answer: D
Pencils, Pens and Exercise books in a shop are in the ratio of 14: 4 : 3. If there are 140 pencils, the number of exercise books in the shop is:	Choose one:	A) 30	B) 27	C) 35	D) 33	E) 37

Solution: Explanation :   Let Pencils = 14x, Pens = 4x & Exercise books = 3x.   Now, 14x = 140   hence x = 10   Number of exercise books = 3x = 30   30nswer : 30
Answer: A
A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit? Choose the correct choice from the following answers:
A) 2205  B) 1978  C) 2834  D) 2827  E) 2781

Solution: 2205 = 2000(21/20)2   = 2205   2205nswer: 2205
Answer: A
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Pick one.
A) 4
B) 8
C) 9
D) 2
E) 9

Solution: Let the number off boys in the group originally be x.   Total weight of the boys = 30x   After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35   So 30x + 35 + 31(x + 1) = > x = 4.   4nswer:4
Answer: A
The last time Meena bought Diwali cards, he found that the three types of cards that he liked were priced Rs.2.00, Rs.3.50, Rs.4.50 each. As Meena wanted 30 cards, she took ten each of three cards , putting down the exact number of 10 rupees notes on the counter payment. How many notes did Meena give? Select the correct option.
A) 5 B) 15 C) 10 D) 12 E) 13

Solution: Explanation :   Let the three cards be a, b ,c . 'x' be the number of notes.   Then, according to the question,   => 10a + 10b + 10c = 10*x.   => a + b + c= x . -----------------------------(i)   Since, a + b +c= 3.5 + 4.5 +2.0= x   x =10   Answer : 10
Answer: C
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds. What is the length of the platform in meters?
Choose the correct choice from the following.
A) 240 meters
B) 360 meters
C) 300 meters
D) 600 meters
E) Cannot be determined

Solution: Speed of the train in metres/sec = 72000/3600= 
72000/3600 = 20
20   Distance travelled by train to cross the platform= 30 * 20= 
30 * 20 = 600
600= Length of train + Length of platform   Distance travelled by train to cross the man = 15 * 20= 
15 * 20 = 300
300= Length of train   Length of platform = 600 - 300= 
600 - 300 = 300
300   Answer: 300 meters
Answer: C
A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 2, what is the smallest possible total number of tokens in the jar? Select:
A) 9	B) 12	C) 15	D) 18	E) 21

Solution: (Red / Total Coins)*(White / Total Coins) = (Blue / Total Coins)   i.e. Red*White = Blue*Total Coins   Let, Red = 3a   White = 3b   Blue = 3c   Total Coins = 3(a+b+c)   i.e. 3a * 3b = 3c*3(a+b+c)   i.e. a*b = c*(a+b+c)   For smallest values of a, b and c   2*3 = 1*(1+2+3)   i.e. Minimum Total Coins = 3*(1+2+3)= 
3*(1+2+3) = 18
18   Answer: Option 12
Answer: B
Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 5 on it exactly once? Pick one:
A) 9/100
B) 1/10
C) 18/100
D) 19/100
E) 1/5

Solution: Probability = No of balls with exactly one 1 / total number of balls   = {5,15,25,35,45,50,51,52,53,54,56 to 59,65,75,85,95}/100   = 18/100   Answer is 18/100
Answer: C
Which of the following is the equation of the line in the xy-plane that has slope 0
(I) x = 2
(II) y = 6
(III) x + y = 0
Choose the correct choice from the following choices
A) II &III  B) III  C) I and II only  D) I  E) II

Solution: y =mx+c therefore y-c= mx then m =(y-c)/x   m=0 means y = c constant ..= II   II
Answer: E
Ravi and Kavi start a business by investing ₹ 8000 and ₹ 72000, respectively. Find the ratio of their profits at the end of year.	Choose the correct choice:
A) 2 : 9
B) 5 : 9
C) 7 : 9
D) 1 : 9
E) 3 : 9

Solution: Ratio of profit = Ratio of investments   = 8000 : 72000 = 1 : 9   Answer : 1 : 9
Answer: D
Find the average of first 97 natural numbers.  Select
A) 47  B) 37  C) 48  D) 49  E) 49.5

Solution: Solution: 1st Method:   Average of 1st n natural number is given by = ([n*(n+1)]/2)/n   Average of 1st 97 natural number is given by = {([97*(97+1)]/2)/97} = 49   2nd Method:   These numbers are in AP series, so average,   ( 97*(97+1) /2)/97= 
( 97*(97+1) /2)/97 = 49
49   2nd Method:   These numbers are in AP series, so average,= (sum of corresponding term)/2   = (1+97)/2= 
(1+97)/2 = 49
49   Or, (2+96)/2= 49   Or, (3+95)/2 = 49 And so on.   Answer: Option 49
Answer: D
Here 10 programmers, type 10 lines within 10 minutes then 60 lines can type within 60 minutes. How many programmers are needed?
Choose the correct answer:
A) 16
B) 10
C) 6
D) 60
E) 50

Solution: 10   10 programmer 10 line 10 mins.   10 programmer 20 line 20 mins.   .   .   .   .10 programmer 60 line 60 mins.   ANSWER:60
Answer: D
A dog takes 3 leaps for every 8 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :	Choose the correct answer.
A) 9:8
B) 9:9
C) 9:6
D) 9:1
E) 9:2

Solution: Explanation:   Dog : Hare = (3*3) leaps of hare : 8 leaps of hare = 9 : 5.   9:8nswer: 9:8) 9:8
Answer: A
If rupee one produces rupees nine over a period of 54 years, find the rate of simple interest?	Select
A) 22 1/7 %	B) 22 3/2 %	C) 22 1/8 %	D) 22 1/2 %	E) 16 2/3 %

Solution: 9 = (1*54*R)/100   R = 16 2/3 %   Answer:16 2/3 %
Answer: E
A soft drink company had 5000 small and 12000 big bottles in storage. If 15% of small 18% of big bottles have been sold, then the total bottles remaining in storage is  Choose the correct choice from the following options
A) 14090
B) 16010
C) 15060
D) 14930
E) 16075

Solution: 5000 + 12000 - (0.15*5000 + 0.18*12000)= 
5000 + 12000 - (0.15*5000 + 0.18*12000) = 14_090
14090.   14090nswer: 14090.
Answer: A
A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ? Answers:
A) 9% B) 10% C) 7% D) 6% E) None of these

Solution: Explanation :   9%ctual Price = Rs.25 + Rs.2.50 = Rs.27.5   Saving = Rs.2.5   Percentage Saving = (2.5/27.5) × 100 = 250/27.5 = 2500/275   = 100/11 = 9(1/11)% ≈ 9%   9%nswer : Option 9%
Answer: A
The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?	Pick:
A) 776	B) 240	C) 872	D) 2667	E) 712

Solution: Let the five consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1) and 2(x + 2)   Their sum = 10x = 440   x = 44 => 2(x - 2) = 84   Second least number of the other set = 2(84) - 121 = 47   This set has its least number as 46.   Sum of the numbers of this set = 46 + 47 + 48 + 49 + 50   = 48 - 2 + 48 - 1 + 48 + 48 + 1 + 48 + 2 => 5(48) = 240   Answer: 240
Answer: B
The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 950 gm and 850 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight (in kg) of the mixture?	Select:
A) 3.64	B) 1.75	C) 3.52	D) 2.72	E) None of these

Solution: Here's how I did it. My notes from reading the problem were:   1L A = 950 gm   1L B = 850 gm   We are mixing five parts (3 parts A plus 2 parts B, 5 parts total) to get 4L, so 5x = 4 ---> x = 4/5. Each part is 4/5 of a liter.   So if we have 3 parts 3.64, we have 950*3*(4/5)= 
950*3*(4/5) = 2_280
2280   If we have 2 parts B, we have 850*2*(4/5)= 
850*2*(4/5) = 1_360
1360   2280 + 1360= 
2280 + 1360 = 3_640
3640   Solving for units gives us 3.64   So the answer is 3.64
Answer: A
Judges will select 4 finalists from the 7 contestants entered in a singing competition. The judges will then rank the contestants and award prizes to the 3 highest ranked contestants: a blue ribbon for first place, a red ribbon for second place, and a yellow ribbon for third place. How many different arrangements of prize-winners are possible?	Choose the correct choice from the following answers.
A) 140
B) 21
C) 210
D) 420
E) 1,260

Solution: First Select 4 from 7 contestants and then select top 3 from those 5 =   7C4*4C3 =35 * 4= 
35 * 4 = 140
140   140NS:140
Answer: A
A circle is circumscribed around a quadrilateral, and the quadrilateral is ABCD, What is the value of arc ADC when angle D is 155 degrees?	Choose one:
A) 125  B) 100  C) 75  D) 50  E) 25

Solution: An inscribed angle is an angle in a circle composed of two chords with a common endpoint, that is, an angle with its vertex on the circle. In this problem, all four lettered angles are inscribed angles.   An inscribed angle necessarily opens to intersect an arc (the technical word is to subtend an arc). The Inscribed Angle Theorem said that the measure of an inscribed angle is always half the measure of the arc it intersects, or subtends.   angle D = 155 degrees   Thus,   arc ABC = 310 degrees   A whole circle has 360 degrees of arc, so arc ADC should be the rest of the circle.   arc A50C = 360 - 310= 
360 - 310 = 50
50 degrees   Answer=(50)
Answer: D
what are the number of solutions for x+y+z=12, if x,y & z can take values from 1 to 7 ?
Choose the most appropriate option: A) 34 B) 35 C) 36 D) 37 E) 38

Solution: if x=1, (y,z) can be (4,7)(5,6)(6,5)(7,4)   if x=2, (y,z) can be (3,7)(4,6)(5,5)(6,4)(7,3)   if x=3, (y,z) can be (2,7)(3,6)(4,5)(5,4)(6,3)(7,2)   if x=4, (y,z) can be (1,7)(2,6)(3,5)(4,4)(5,3)(6,2)(7,1)   if x=5, (y,z) can be (1,6)(2,5)(3,4)(4,3)(5,2)(6,1)   if x=6, (y,z) can be (1,5)(2,4)(3,3)(4,2)(5,1)   if x=7, (y,z) can be (1,4)(2,3)(3,2)(4,1)   Total Combination = 4+5+6+7+6+5+4= 
4+5+6+7+6+5+4 = 37
37   ANSWER:37
Answer: D
An error 5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is	Choose the correct choice from the following answers:  A) 10.4%  B) 10.25%  C) 10.23%  D) 10.26%  E) 10.5%

Solution: 100 cm is read as 102 cm.   A1 = (100 x 100) cm2 and A2 (105 x 105) cm2.   (A2 - A1) = [(105)2 - (100)2]   = (105 + 100) x (105 - 100)   = 1025 cm2.   Percentage error = 10.25   10.25%
Answer: B
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is: Choose the correct choice from the following.
A) 10  B) 20  C) 30  D) 40  E) 50

Solution: x pupils in class   total increase = (x*1/2) = x/2   x/2=(83-63)= 
(83-63) = 20
20 x= 40   ANSWER 40
Answer: D
Train A and Train B began traveling towards each other from opposite ends of a 500-mile long track at 1:00 PM. If Train A traveled at 25 miles per hour and Train B traveled at 25 miles per hour, at what time did the trains meet?	Options
A) 5:40 PM	B) 11:00 PM	C) 7:20 PM	D) 8:00 PM	E) 9:20 PM

Solution: This question tests your concepts of relative speed:   If two trains are moving in opposite direction, then distance will reduce at a rate of (Speed of 1 + Speed of 2)   If two trains are moving in same direction, then distance will reduce at a rate of (Speed of 1 - Speed of 2)   Here the trains are moving towards each other, hence in opposite direction.   Trains will cover the 500 mile track in a time of 500/(25 + 25) = 500/50= 
500/50 = 10
10 hours   Trains started at 1:00 PM, there they will meet at 11:00 PM   Option 11:00 PM
Answer: B
A bag contains 13 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf? Choose the most appropriate option.
A) 3/16 B) 4/23 C) 5/26 D) 7/34 E) 9/47

Solution: Total possible ways to choose three scarves is 13C3 = 286   We need to choose the red scarf and two of 11 other scarves (not the green scarf).   The number of successful possibilities is 115/262 = 55   P(red scarf but not green scarf) = 55/286 = 5/26   The answer is 5/26.
Answer: C
The speed of a boat in still water is 36 kmph. What is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time? Choose the most appropriate option:
A) 10 kmph B) 14 kmph C) 12 kmph D) 16 kmph E) 15 kmph

Solution: X = the speed of the stream   (36 + X) / (36 - X) = 2/1   36+ X = 72 - 2X   3X = 36   X = 12 km/hour   If the speed of the stream is 12km/hour, then the 'downstream' speed of the boat is   36+12= 
  36+12 = 48
48km/hour and the 'upstream' speed of the boat is 36-12= 
36-12 = 24
24km/hour. In that way, if the boat traveled for 2 hours, it would travel 2x48= 96km downstream and 2x24 = 48 km/hour upstream.   Answer : 12 kmph
Answer: C
Find the largest 4 digit number which isexactly divisible by 88?  Pick
A) 2413  B) 4356  C) 9944  D) 7939  E) 4674

Solution: Largest 4 digit number is 9999   After doing 9999 ÷ 88 we get remainder 55   Hence largest 4 digit number exactly divisible by 88 = 9999 - 55= 
9999 - 55 = 9_944
9944   9944
Answer: C
Working together, A and B can do a job in 6 days. B and C can do the same job in 10 days, while C and A can do it in 7.5 days. How long will it take if all A, B and C work together to complete the job?  Options:
A) 4 days
B) 5 days
C) 8 days
D) 9 days
E) 10 days

Solution: A and 5 days 1day work = 1/6   5 days and C 1day work = 1/10   c and A 1day work =1/7.5   A,5 days,C 1day work =(1/6 + 1/10 + 1/7.5)*1/2=1/5   so A.5 days.C completes work in 5 days   ANSWER:5 days
Answer: B
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used?  Choose the correct choice from the following answers.
A) 2 B) 4 C) 6 D) 9 E) 12

Solution: Rate of machine R = 1/24   Rate of machine S = 1/12   Rate of R+S = 1/8   To finish the work in 4 hrs, the combined rate needs to be 1/4.   x * 1/8 = 1/4   x = 2   The answer is 2.
Answer: A
A 160 meter long train crosses a man standing on the platform in 16 sec. What is the speed of the train? Choose one:	A) 36 kmph	B) 54 kmph	C) 92 kmph	D) 86 kmph	E) 76 kmph

Solution: S = 160/16 * 18/5= 
160/16 * 18/5 = 36
36 kmph   36 kmphNSWER:36 kmph
Answer: A
There are 32 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Select:
A) 496
B) 367
C) 361
D) 297
E) 261

Solution: Explanation:   Total number of persons = n = 32   Shake hands involve only 2 persons = r = 2   Number of shake hands = nCr = 32C2   32C2 = (32 * 31) /(2 * 1)= 
(32 * 31) /(2 * 1) = 496
496   496NSWER:496
Answer: A
40% of the population of a village is 23040. The total population of the village is ?	Options:	A) 57600	B) 44000	C) 34936	D) 25640	E) None

Solution: 57600nswer   ∵ 40% of P = 23040   ∴ P = (23040 x 100) / 40 = 57600   Correct Option: 57600
Answer: A
One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field. Choose the correct choice from the following choices
A) 111 m^2	B) 120 m^2	C) 130 m^2	D) 124 m^2	E) 131 m^2

Solution: Other side = ((17) 2- (15)2)(1/2) = (289- 225)(1/2) = (64)(1/2) = 8 m.   Area = (15 x 8) m2 = 120 m2.   ANSWER 120 m^2 120 m^2
Answer: B
Three friends are buying a gift for a friend. Declan contributes 3 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 22 dollars. What is the cost of the gift?
Pick.
A) 48
B) 57.6
C) 60
D) 66
E) 72

Solution: Declan = D, Ed = E, Frank = F   t = total   D + E + F = t   (t/4 + 3) + (t/3 - 1) + 22 = t   t = 24 + (7t/12)   12t = 24(12) + 7t   5t = 24(12)   t = 57.6   The correct answer is 57.6.
Answer: B
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).  Options
A) 8, 20, 28
B) 16, 28, 36
C) 16, 28, 35
D) 16, 28, 34
E) 16, 28, 33

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 4x = 16 years, 7x = 28 years and 9x = 36 years respectively.   Answer:16, 28, 36
Answer: B
The largest 4 digit number exactly divisible by 88 is?
Pick one
A) 9930	B) 9936	C) 9944	D) 9952	E) 9960

Solution: Largest 4-digit number = 9999   88) 9999 (113   88   ----   119   88   ----   319   264   ---   55   ---   Required number = (9999 - 55)= 
(9999 - 55) = 9_944
9944.   9944)
Answer: C
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choose the most appropriate option:
A) 3002  B) 3000  C) 3018  D) 3019  E) 3012

Solution: 60*5:36*6:75*3   100: 72: 75   100/247 * 7410= 
100/247 * 7410 = 3_000
3000   Answer: 3000
Answer: B