MU-NLPC/Calc-aqua_rat huggingface dataset:
One hour after Yolanda started walking from X to Y, a distance of 65 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 5 miles per hour and Bobâs was 7 miles per hour, how many miles had Bob walked when they met? Choices:
A) 31  B) 32  C) 33  D) 34  E) 35

Solution: Let t be the number of hours that Bob had walked when he met Yolanda. Then, when they met, Bob had walked 4t miles and Yolanda had walked 5(t + 1) miles. These distances must sum to 65 miles, so 7t + 5(t + 1) = 65, which may be solved for t as follows   7t + 5(t + 1) = 65   7t + 5t + 5 = 65   12t = 60   T = 5 (hours)   Therefore, Bob had walked 7t = 7(5) = 35 miles when they met. The best answer is 35.
Answer: E
The greatest possible length which can be used to measure exactly the length 3m ,6m 85cm, 8m 95 cm is? Pick one:
A) 25cm
B) 101cm
C) 5cm
D) 42cm
E) 35cm

Solution: Required length = H.5cm.F of 300cm, 685cm, 895cm = 5cm   Answer is 5cm
Answer: C
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 3 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?	Choices
A) 179:2
B) 178:3
C) 179:1
D) 179:54
E) 179:45

Solution: Quantity of alcohol in vessel P = 62.5/100 * 3 = 15/8 litres   Quantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres   Quantity of alcohol in the mixture formed = 15/8 + 7/2 = 43/8= 
43/8 = 43/8 = around 5.375
5.375 litres   As 7 litres of mixture is formed, ratio of alcohol and water in the mixture formed= 5.375 : 1.625 = 179 : 54.   Answer:179:54
Answer: D
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?  Choose the correct answer
A) 46
B) 99
C) 8826
D) 266
E) 232

Solution: Sum of all the 13 numbers = 13 * 60= 
13 * 60 = 780
780   Sum of the first 7 of them= 7 * 57= 
7 * 57 = 399
399   Sum of the last 7 of them= 7 * 61= 
7 * 61 = 427
427   So, the 8th number= 427 + 399 - 780 = 46.46nswer: 46
Answer: A
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Select:
A) 120	B) 882	C) 662	D) 4112	E) 2322

Solution: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.   120rea of the triangle = 1/2 * 24 * 10= 
1/2 * 24 * 10 = 120
120 cm2   120nswer: 120
Answer: A
An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for finishing touches. If these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many W ways can the assembly line be arranged?  Select
A) 120
B) 240
C) 360
D) 480
E) 720

Solution: C) 360   short way: there are 6C! ways to do the six tasks. Half will have wheels before axles and half will have axles before wheels. So we want W=6360!/2 -> 720/2 = 360
Answer: C
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?  Choose the correct choice from the following choices.
A) 36  B) 50  C) 88  D) 66  E) 22

Solution: Speed of the train relative to man   = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr   = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5   = 45 ==> x   = 50 km/hr.   Answer:50
Answer: B
A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ?? Choose the correct option.
A) 30 years B) 40 years C) 45 years D) 50 years E) 60 years

Solution: If the sum doubles (x2) in 15 years, then it to become  2*2*2= 
 2*2*2 = 8
8 times as large it should double three times, so three 15 years time period are needed, which is  3*15= 
 3*15 = 45
45 years.   Answer: 45 years
Answer: C
In a school there are 20 balls for every 200 players. If the school has 600 players, how many balls are required?  Choose the correct choice from the following:
A) 34  B) 45  C) 60  D) 36  E) 14

Solution: 20/200=x/600   x=60   Answer is 60
Answer: C
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choose the correct option:	A) 150m	B) 180m	C) 159m	D) 250m	E) 152m

Solution: Length of the train be ‘X’   X + 150/15 = X + 250/20   4X + 600 = 3X + 750   X = 150m   150mnswer:150m
Answer: A
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?	Answers.
A) Rs.4 B) Rs.5 C) Rs.1 D) Rs.3 E) Rs.9

Solution: 40*(40/100)= 
40*(40/100) = 16
16 --- 64   ? --- 12=> Rs.3   Answer:Rs.3
Answer: D
The compound ratio of 1:4, 3:2 and 4:5?  Choose the correct choice:	A) 1:9	B) 1:7	C) 1:2	D) 3:10	E) 1:4

Solution: 1/4 * 3/2 * 4/5   = 3/10   =3:10   Answer: 3:10
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?	Choose the correct option:
A) 288 B) 279 C) 277 D) 200 E) 150

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 12= 
50/3 * 12 = 200
200 m   Answer: 200
Answer: D
if v,w,x,y,z are non negative integer, each less than 11,then how many distinct combinations(w,v,x,y,z) satisfy v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001.	Choose the correct choice from the following answers:
A) 0 B) 1 C) 2 D) 3 E) 4

Solution: v(11^4)+w(11^3)+x(11^2)+y(11)+z=151001   151001/11 gives remainder 4.   v(11^4)+w(11^3)+x(11^2)+y(11) = 151001 - z   to make it divisible by 11, z should be 4..   as value of z cannot be any other number, we can form only on 1 distinct combination..   ANSWER:1
Answer: B
If 9 is a factor of 2x, then which of the following may not be an integer? Choose the correct choice from the following answers: A) 6x/54 + 2x/3 B) (4x-18)/9 C) (2x+27)/9 D) (81-4x^2)/81 E) (2x-3)/3

Solution: The questions provides that 2x is divisible by 9, so x is either a multiple of 9 or x = 9/2= 
9/2 = 9/2 = around 4.5
4.5   If x= 4.5 then 6x/54 = (6*4.5)/ (6*9) = 1/2. Not an integer.   The answer is 6x/54 + 2x/3.
Answer: A
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choose the correct choice from the following:
A) 7 2 ½ kmph
B) 2 8 ½ kmph
C) 8 2 ½ kmph
D) 2 2 ½ kmph
E) 2 1 ½ kmph

Solution: 100 --- 10 2 2 ½ kmphS = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 2 2 ½ kmph   Answer: 2 2 ½ kmph
Answer: D
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 9% microphotonics; 14% home electronics; 10% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?  Choose the correct choice from the following answers:
A) 108°
B) 10°
C) 18°
D) 36°
E) 52°

Solution: 9% microphotonics;   14% home electronics;   10% food additives;   29% genetically modified microorganisms;   8% industrial lubricants;   100-(9+14+10+29+8)= 
100-(9+14+10+29+8) = 30
30% basic astrophysics.   30% of 360° is 108°.   108°nswer: 108°.
Answer: A
How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 35 percent alcohol?  Choose the correct answer:
A) 7/2  B) 300/13  C) 20/3  D) 8  E) 39/4

Solution: 20% Alcohol solution means; in the 100 liter solution, 20 liters of solution is alcohol and 80 liters other solvents.   If we addxliters of alcohol to the solution, the solution becomes100+xliters and alcohol, which was 20 liters, becomes 20+x liters.   According to the statement;   20+x = 35% of (100+x)   OR   20+x=(100+x)7/20   400+20x=700+7x   13x=300   x=300/13   Ans:300/13
Answer: B
3,5,8,13,22,__	Pick:
A) 37
B) 38
C) 39
D) 40
E) 41

Solution: 5=3*2-1   8=5*2-2   13=8*2-3   22=13*2-4   39=22*2-5   ANSWER:39
Answer: C
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Pick one
A) 3/8 B) 3/2 C) 3/6 D) 3/1 E) 3/7

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.   Answer: 3/2
Answer: B
The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 19-inch screen would be how many square inches greater than the area of a square 17-inch screen?	Choose the correct choice from the following options:
A) 36
B) 4
C) 16
D) 38
E) 40

Solution: Pythogoras will help here!   let the sides be x and diagonal be d   Then d ^2 = 2x^2   and   36rea = x^2   Now plug in the given diagonal values to find x values   and then subtract the areas   36ns will be 19^2/2 - 17^2 /2 = 72 /2= 
72 /2 = 36
36   36ns 36.
Answer: A
The banker's gain of a certain sum due 3 years hence at 10% per annum is Rs. 36. What is the present worth ?
Choose the most appropriate option.
A) Rs. 400	B) Rs. 300	C) Rs. 500	D) Rs. 350	E) None of these

Solution: Explanation :   T = 3 years   R = 10%   TD = (BG ×100)/TR = (36×100)/(3×10) = 12 × 10 = Rs. 120   TD = (PW × TR)/100   ⇒ 120 = (PW ×3×10)/100   ⇒ 1200 = PW × 3   PW = 1200/3 = Rs. 400 Rs. 400nswer : Option Rs. 400
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red? Pick:
A) 12/459 B) 12/452 C) 12/455 D) 22/452 E) 12/453

Solution: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.   When three marbles are drawn, the probability that one is yellow and two are red   = (212/4551)(412/4552)/1512/4553   = (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455   Answer:12/455
Answer: C
The cost price of a Rs. 100 stock at 4 discount, when brokerage is 1/5% is Choose the correct choice from the following answers
A) 96.0  B) 96.5  C) 96.2  D) 96.8  E) 96.6

Solution: 96.2ost Price = 100−4+1/5=96.2   Answer is 96.2.
Answer: C
If I, J and K are digits and 9IJK is a 4-digit number that is divisible by 5, which of the following is a possible product of I, J and K?
Choose the correct choice from the following options:
A) 23
B) 48
C) 72
D) 25
E) 94

Solution: Key to this question is to remember the fact that a number divisible by 5 must end with 5 OR 0 (i.e K).   If K had to be 0, product should also be 0 regardless of I and J.   The product is a multiple of 5. Only one answer choice meets the requirement.   Ans 25.
Answer: D
If 2/3 of A=75% of B=0.6 of C, then A:B:C is
Select the correct option.
A) 2:3:3 B) 3:4:5 C) 4:5:6 D) 9:8:10 E) None

Solution: Solution: According to the question,   Or, (2A/3) = (75B/100) = (C*6/10);   Above relation gives;   A*2/3 = B*3/4;   →	A/B = 9/8;   And,   B*3/4 = C*3/5;   →	B/C = 8:10;   Thus,   A:B:C = 9:8:10.   Answer: Option 9:8:10
Answer: D
The average number of shirts with Salman, Ambani and Dalmiya is 54, if all of them reached a shopping mall in Delhi and purchased 8 shirts each of them then average number of shirt each of them now has Answers
A) 66 B) 63 C) 62 D) can't be determined E) None of these

Solution: Answer   Required average   = Old average + New average   = 54 + 8= 
54 + 8 = 62
62   62orrect Option: 62
Answer: C
The product of Diana's age, in years, and a third of Rashid's age, in years, is 32. If Diana is 4 years older than Rashid is, then how old is Rashid ?  Choose the correct choice:	A) 6	B) 8	C) 9	D) 12	E) 15

Solution: Let D be Diana's age, in years, and Rashid's age be R   D*R/3 = 32   D = R+4   Now (R+4)R / 3 = 32 = > R^2+4R-96 => R = 8 or -12.   ANS option 8.
Answer: B
A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Select.
A) 3.75	B) 4	C) 2	D) 8	E) 7

Solution: 1/6 + 1/10 = 8/30 = 4/15   15/4= 
15/4 = 15/4 = around 3.75
3.75 days   3.75NSWER 3.75
Answer: A
Jack and Christina are standing 240 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 3 feet per second and Christina walks in a straight line toward Jack at a constant speed of 3 feet per second. Lindy runs at a constant speed of 10 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?	Choose the correct choice from the following answers:
A) 340
B) 360
C) 380
D) 400
E) 420

Solution: The relative speed of Jack and Christina is 3 + 3= 
3 + 3 = 6
6 feet per second.   The distance between them is 210 feet, hence they will meet in (time)= (distance)/(relative speed) = 240/6= 
240/6 = 40
40 seconds.   For all this time Lindy was running back and forth, so it covered (distance)= (speed)*(time) = 10*40= 
10*40 = 400
400 feet.   Answer: 400.
Answer: D
Find the area of a parallelogram with base 24 cm and height 16 cm?  Choices:
A) 198 cm2
B) 384 cm2
C) 279 cm2
D) 128 cm2
E) 297 cm2

Solution: Area of a parallelogram   = base * height   = 24 * 16= 
24 * 16 = 384
384 cm2   Answer:384 cm2
Answer: B
There are six cards in which it has two king cards. all cards are turned down and two cards are opened what is the possibility to get at least one king.
Choose the correct choice from the following options.
A) 1/5  B) 2/5  C) 3/5  D) 4/5  E) 6/5

Solution: POSSIBILITY TO GET AT LEAST ONE KING IS : 23/51*43/51/63/52 + 23/52/63/52 = 8/15+1/15=3/5   ANSWER:3/5
Answer: C
In a camp,there is a meal for 120 men or 200 children.If 120 children have taken the meal,how many men will be catered to with the remaining meal ?  Choose the correct answer
A) 20	B) 30	C) 40	D) 48	E) 60

Solution: Solution   There is a metal for 200 children. 120 children have taken the meal.   Remaining meal is to be catered to 80 children.   Now, 200 children = 120 men   80 children =( 120/200x80)men= 48 men. Answer 48
Answer: D
For an international Mathematics Olympiad, country D will send six delegates in total — two will be supervisors and four will be contestants. There are 210 ways in which the six delegates can be chosen and there are seven candidates competing for the four contestants’ places available. How many candidates are competing for the two supervisors’ slots available? Choose the correct choice from the following choices.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: Option A wrong as 2 supervisor need to be selected.   Going by statement: 4 contestant chosen from 7 -- 7C4 == 35   and total ways =210   Consider 2 supervisor will be chosen from : X people.   So as per question: 35*X= 210   X= 6   So by using options,   Option A already decided wrong.   Option B 2C2 will be 1 not 6.   Option C 3C2 will be 3 not 6   Option D 4C2 will be 6 correct answer   Option E 5C2 will be 10 not 6.   ANS:4
Answer: D
What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?	Options.
A) 87  B) 16  C) 18  D) 13  E) 19

Solution: d2 = 122 + 42 + 32   = 13   Answer:13
Answer: D
A train 100 m long pass a telegraph pole in 5 seconds. Find the speed of the train Options:
A) 66 km/hr  B) 68.4 km/hr  C) 72 km/hr  D) 79.2 km/hr  E) None

Solution: Sol.   Speed = [100/5] m/sec = [20 * 18/5] km/hr = 72 km/hr.   Answer 72 km/hr
Answer: C
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?  Options
A) 33 8/3%
B) 33 1/7%
C) 33 1/3%
D) 33 7/3%
E) 33 1/8%

Solution: 675 ---- 225   100 ---- ? => 33 1/3%   Answer:33 1/3%
Answer: C
A person's present age is two-fifth of the age of his mother. After
8 years, he will be one-half of the age of his mother. What is the present age of the mother? Choose the most appropriate option.
A) 40  B) 60  C) 70  D) 30  E) 35

Solution: Let present age = x   age of mother = 5x/2   after 8 yrs the person will be one-half of the age of his mother   (x+8) = 1/2(5x/2 + 8)   x =16   present age of mother=   5x/2 = 5*16/2= 
5*16/2 = 40
40   40NSWER 40
Answer: A
Bill has a collection of new and used trading cards that he stores in two albums. His first album contains 200 cards, 60% of which are used. If 90% of the cards in his second album are used, and 65% of all of his cards are used, what is the total number of trading cards in Billâ€™s collection?
Choose one.
A) 290  B) 260  C) 240  D) 156  E) 254

Solution: (60/100)*200 + (90/100)*B = (65/100)*(200+B)   B = 40   Total cards = 200+B = 240   Answer: 240
Answer: C
A phone manufacturer has 4 different types of phones namely: x1, x2, x3, and x4. if x2 costs 12% less than x1 and x3 costs 15% lesser than x2, and x4 costs 5% less than x3. what percent of x1's cost is x4?  Choose the correct choice from the following answers:
A) 89.1%  B) 77.8%  C) 60.7%  D) 80.4%  E) 71.06%

Solution: Let the cost of x1 be $100   x2 costs 12% less than x1=$100-$12--88(cost of x2)   x3 costs 15% lesser than x2--$88-13.2--74.8(cost of x3)   x4 costs 5% less than x3--74.8-3.74--71.06(cost of x4)   therefore --71.06*100/100   Answer is 71.06%
Answer: E
If two 2-digit positive integers have their respective tens digits exchanged, the difference between the pair of integers changes by 4. What is the greatest possible difference between the original pair of integers?  Choose the correct choice:
A) 76	B) 80	C) 82	D) 90	E) 94

Solution: For maximizing most of 2 digit integer questions, you will have numbers closes to 90s and 10s.   Start with 10 and 99 you see that the differences are 89 (=99-10) and 71 (=90-19) giving you a change of 89-71= 
89-71 = 18
18, a lot more than 4.   Next check with 15 and 99, you get 84 (=99-15) and 76 (=95-19), you get 84-76= 
84-76 = 8
8. Thus the difference has been decreasing.   Finally check with 99 and 17, you get 82 (=99-17) and 78 (=97-19), giving you 82-78= 
82-78 = 4
4 . This is the answer.   Thus, the maximum difference is 99-17= 
99-17 = 82
82. 82 is the correct answer.
Answer: C
An error 2% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Choose the correct answer.
A) 3.07
B) 2.3
C) 3.2
D) 4.04
E) 5.92

Solution: 4.04   4.04   Percentage error in calculated area   =(2+2+(2×2/100))%=4.04
Answer: D
Find the day of the week on 16th july, 1776.  Choose the correct choice from the following choices:
A) Sunday
B) Monday
C) Tuesday
D) Wednesday
E) Wednesd21

Solution: Explanation:   Split the year 1775 + 16th july 1776   Till 1600 years no odd days.   1601 to 1700 = 5 odd days   1701 to 1775 = 75 + 18= 
75 + 18 = 93
93= 2 odd days. (75 years has 93 odd days (∵∵ 18 leap + 57 non leap years)   upto 15th july 1776 = 31 + 29 + 31 + 30 + 31 + 30 + 15= 
31 + 29 + 31 + 30 + 31 + 30 + 15 = 197
197= 1 odd day.   Total odd days = 5 + 2 + 1= 
5 + 2 + 1 = 8
8= 1 odd day.   So one day after Monday. That is Tuesday.   Answer: Tuesday
Answer: C
A train 125 m long passes a man, running at 12 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?	Choose one
A) 37 km/hr
B) 50 km/hr
C) 36 km/hr
D) 57 km/hr
E) 87 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 12 = 45 => x = 57 km/hr.   Answer:57 km/hr
Answer: D
Rs.2600 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?  Choose the most appropriate option:
A) 1600
B) 1700
C) 1800
D) 1900
E) 2000

Solution: (x*5*1)/100 + [(2600 - x)*6*1]/100 = 140   X = 1600   1600NSWER:1600
Answer: A
There are 2 sections A and B in a class, consisting of 30and 20 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class?
Pick
A) 35kg  B) 37kg  C) 42kg  D) 38kg  E) 29.78kg

Solution: Total weight of 36+44 students = 30*40 + 20*35= 
30*40 + 20*35 = 1_900
1900   Average weight of the class is= 1900/50= 
1900/50 = 38
38 kg   Answer is 38kg
Answer: D
In Arun's opinion, his weight is greater than 61 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 64 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choose one.
A) 86.5 kg	B) 62.5 kg	C) 46.5 kg	D) 26.5 kg	E) 16.5 kg

Solution: Let Arun's weight be X kg.   According to Arun, 61 < X < 72.   According to Arun's brother, 60 < X < 70.   According to Arun's mother, X < 64.   The values satisfying all the above conditions are 62 and 63.   Required average = (62 + 63) / 2= 
(62 + 63) / 2 = 125/2 = around 62.5
62.5 kg   Answer: 62.5 kg
Answer: B
When a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $67.50, what was the total value of the item?	Select the correct option
A) $1,150	B) $1,450	C) $1,750	D) $2,150	E) $2,450

Solution: Let x be the value in excess of $1,000.   0.09x = 67.5   x = $750   The total value was $750 + $1,000 = $1,750.   The answer is $1,750.
Answer: C
The present age of a father is 4 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.  Pick
A) 30 B) 38 C) 29 D) 40 E) 48

Solution: if the present age be x years.   father's will be (3x+4)years..   so, (3x+4+3)=2(x+3)+10   or, x=9   so the fathers present age =(3x+3)=(3*9+3)= 
(3*9+3) = 30
30years..   30NSWER : OPTION 30
Answer: A
A man can row upstream at 10kmph and downstream at 20kmph. Find man's rate in still water ?	Pick one:  A) 5km/hr  B) 15km/hr  C) 10km/hr  D) 20km/hr  E) 7.5km/hr

Solution: Rate in still water = 1/2 (10+20) = 15km/hr   Answer is 15km/hr
Answer: B
The difference between a number and its two-fifth is 510. What is 30% of that number?	Choose one
A) 253  B) 255  C) 252  D) 251  E) 254

Solution: Let the number be x. Then,   x - 2/5 x = 510   x = (510 * 5)/3= 
(510 * 5)/3 = 850
850   30% of 850= 255.   Answer:255
Answer: B
By selling an article at Rs.1000, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%? Pick one: A) s.600 B) s.480 C) s.500 D) s.450 E) s.550

Solution: SP = 1000   Profit = 25%   CP = (SP)*[100/(100+P)]   = 1000 * [100/125]   = 800   Loss 1000 *  100/125= 
1000 *  100/125 = 800
800   Loss= 25% = 25% of 800 = Rs.200   SP = CP - Loss = 800 - 200 = Rs.600   s.600NSWER:s.600
Answer: A
Out of first 40 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -. Choose one:	A) 1/2	B) 16/19	C) 4/5	D) 31/40	E) 3/5

Solution: n(S) = 40   n(Even no) = 20 = n(E)   n(Prime no) = 12 = n(P)   P(EᴜP) = 20/40 + 12/40 - 1/40 = 31/40   ANSWER:31/40
Answer: D
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,861,997 minutes earlier? (Assume standard time in one location.)  Choices:  A) 6:35  B) 6:30  C) 6:27  D) 6:24  E) 6:21

Solution: 6:27 minus 2,861,997 in any way must end with 0.   The only answer choice which ends with 0 is B.   The answer is 6:30.
Answer: B
Jacob is now 12 years younger than Michael. If 3 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years?	Choices:	A) 3	B) 7	C) 15	D) 21	E) 13

Solution: Jacob=x years, Mike=x+12 years   3 years from now,   2(x+3)=x+15   2x+6=x+15   x=9   x+4=13 years   Answer 13
Answer: E