MU-NLPC/Calc-aqua_rat huggingface dataset:
Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is? Choose the correct option:
A) 5 days  B) 8 days  C) 6 days  D) 3 days  E) 2 days

Solution: 2M + 3W ----- 35 h   4M + 4W ------- 21 h   7M -------? d   70M + 105W = 84M +84M   21W = 14M => 2M = 3W   4 * 35 = 7 * x => x = 20 hours   20/4= 
20/4 = 5
5 days   5 daysnswer: 5 days
Answer: A
The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,
respectively. Due to a dramatic increase in the surrounding temperature, the composition of the
compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the
changed compound, if the total weight is 232 lbs, how much does substance x weigh?
Options: A) 48 B) 36 C) 24 D) 12 E) 10

Solution: x:y=4:6   if the ratio is halevd then x:y=2:6   The old ratio of x to z was 4:10. If this ratio is tripled, then the new ratio of x to z is 12:10.   x:y=2:6=12:36 ( multiplied the ration with 6/6 to have a common co eff x in both the rations x:y and x:z)   so x:y:z= 12:36:10   and we know x + y + z = 232 lbs   from the ratio of x ,y and z we have x=12k y=36k z=10K   put it in the equation we have 12k+36k+10k=232   k=4   Hence x=12(4)=48   48ns 48
Answer: A
Two cars start together in the same direction from the same place. The first goes with uniform speed of 10 kmph. The second goes at a speed of 8 kmph in the first hour and increases its speed by 1/2 kmph each succeeding hours. After how many hours will the second car overtake the first, if both cars go non stop? Choose the correct choice from the following.
A) 8 hours B) 7 hours C) 6 hours D) 9 hours E) None

Solution: Explanation :   The second car overtake the first car in x hours   9 hoursistance covered by the first car in x hours = 9 hoursistance covered by the second car in x hours   10x = x/2[2a + (x-1)d] 10x = x/2[2*8 + (x-1)1/2] x = 40 -31= 
40 -31 = 9
9   Answer – 9 hours
Answer: D
What is the smallest of six consecutive odd integers whose average (arithmetic mean) is z + 2?
Choose the correct choice from the following options:
A) z - 5
B) 3
C) z - 3
D) z
E) z + 1

Solution: Since the numbers are consecutive odd integers, mean = median = 3rd integer + 4th integer /2   And 1st integer= 3rd integer- 4   let's say 3rd integer = n and 4th integer = n+2   2n+2/2= z+2   n= z+1   1st integer= z+1-4= z-3   z - 3 is the answer
Answer: C
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?	Choose the correct option:	A) Rs. 16.80	B) Rs. 15	C) Rs. 18	D) Rs. 19	E) Rs. 19.70

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30100   Let the cost of the tax free items = x   Given that tax rate = 6%   âˆ´ (25âˆ’30100âˆ’x)6100=30100â‡’6(25âˆ’0.3âˆ’x)=30â‡’(25âˆ’0.3âˆ’x)=5   x=25âˆ’0.3âˆ’5   =19.70   correct answer - Rs. 19.70
Answer: E
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 35% solution?	Answers.
A) A)6.7	B) B)38.5	C) C)9.6	D) D)12.5	E) E)7.9

Solution: Amount salt in 100kg solution = 10*100/100= 
10*100/100 = 10
10 kg   Let x kg of pure salt be added   then(10+x)/(100+x)=35/100   200+20x=700+7x   13x = 500   x = 28.5   Answer is 38.5
Answer: B
If each digit in the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9} is used exactly once, in how many ways can the digits be arranged?  Choices
A) 356,580  B) 358,680  C) 360,780  D) 362,880  E) 364,980

Solution: 9! = 362,880   The answer is 362,880.
Answer: D
A and B can do a piece of work in 4 days, B and C in 6 days, C and A in 3 days. How long will C take to do it?	Choose one.
A) 8 days
B) 10 days
C) 12 days
D) 4 days
E) 12 days

Solution: 2c = 1/6 + 1/3 – 1/4 = 1/4   c = 1/8 => 8 days   8 daysnswer:8 days
Answer: A
What is the time required for a bike to cover a distance of 450 km with a speed of 90 kmh?  Choices:
A) 5 hours
B) 3 hours
C) 8 hours
D) 6 hours
E) 4 hours

Solution: Time= Distance / Speed   Time = 450 / 90= 
450 / 90 = 5
5   5 hoursnswer: 5 hours
Answer: A
The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long. What is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?	Choose the correct choice from the following choices:
A) 20 ft	B) 25 ft	C) 750 ft	D) 900 ft	E) 2400 ft

Solution: Point to note: Both the wheels would have traveled the same distance.   Now consider, no. of revolutions made by back wheel as x, which implies that the number of revolutions made by the front wheel is (x+5).   Equating the distance traveled by front wheel to back wheel: (x+5)*30 = x * 32. (Formula for calculating the distance traveled by each wheel is: # of revolutions * circumference.)   Solving this eqn. gives x=75.   Sub x=75 either in (x+5)*30 or in x * 32 to get the distance, which is 2400. So the correct choice is 2400 ft.
Answer: E
A person covers a distance in 18 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
Choose the most appropriate option:
A) 18 m/s
B) 4 m/s
C) 12 m/s
D) 10 m/s
E) 5 m/s

Solution: Explanation:   T = 18 m   Spees = 12 kmph   = 12 x 5/18 = 10/3 m/s   Let new speed be "x"   18 x (10/3) = 5x   x = 12 m/s   Answer: Option 12 m/s
Answer: C
If x is 50 percent greater than 88, then x =  Choose the correct choice from the following choices:
A) 68 B) 132 C) 86 D) 105.6 E) 108

Solution: x=88*1.5= 
88*1.5 = 132
132   So the answer is 132.
Answer: B
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?	Choose the correct choice
A) 77% B) 20% C) 87% D) 55% E) 66%

Solution: 900 ---- 180   100 ---- ? => 20%   Answer: 20%
Answer: B
A university cafeteria offers 22 flavors of pizza - Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ? Select the correct option:  A) 41  B) 8  C) 12  D) 4  E) 32

Solution: 2 flavours * 2 choices = 2C1*2C1 = 2*2= 
2*2 = 4
4=4
Answer: D
In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is:
Pick
A) 15
B) 18
C) 20
D) 22
E) 24

Solution: Number = (35 * 12)= 
(35 * 12) = 420
420   20orrect quotient= 420/21= 
420/21 = 20
20   20
Answer: C
If x and y are positive integers that have remainders of 2 and 5, respectively, when divided by 7, which of the following could be the sum of x and y?	Select the correct option: A) 16 B) 19 C) 40 D) 49 E) 72

Solution: Minimum value of x = 9 and y = 12=>   x + y = 21 ( Divisible by 7 )   So, The correct answer choice will be one that will be divisible by 7..   Among the given options only (49) satisfies, hence answer must be (49)
Answer: D
The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
Choose the correct choice from the following
A) 7:8 B) 7:9 C) 7:6 D) 7:2 E) 7:5

Solution: Let P age and Q age is 6x years and 7x years.   Then 7x - 6x = 4 <=> x = 4   So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8   7:8nswer: 7:8
Answer: A
If x^2 = 111, which of the following is closest to a potential value of x? Pick one.
A) -127 B) -11 C) 12 D) 13 E) 131

Solution: Here the thing we must not forget is that X^even has two potential solutions   => x =+- √111 => +- 11   this value is closer to -11   Hence -11 is correct.
Answer: B
A box contains 5 green balls, 4 red balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
Choose the correct choice from the following options:
A) 2/3 B) 1/4 C) 3/5 D) 1/2 E) 2/5

Solution: Total number of balls = 4+5+6= 
4+5+6 = 15
15   n(s)=15   E1 = event of drawing a red ball = 4/15   E2 = event of drawing a green ball = 5/15   P(E1)+P(E2) = (4/15)+(5/15) = 9/15 = 3/5   Answer is 3/5
Answer: C
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choose the correct choice from the following answers:
A) 20	B) 82	C) 90	D) 37	E) 37

Solution: 200*2= 
200*2 = 400
400   580   -----   180   1----2   ?----180= 90   Answer:90
Answer: C
Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald carries a total of 30 notes (of either $10 or €10,) then what is the total number of notes (of either $10 or €10,) they take? Answers
A) 70  B) 80  C) 100  D) 120  E) 150

Solution: let e10 =x no. d10 =y no. donald is having x+y notes mona carries 3x+y again x =2y or donald x+y =30   or 3y =30 y =10 ;x =20 , total notes they carry = 4x+2y = 80+20= 
80+20 = 100
100   150
Answer: E
An error 1% 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 choice from the following answers:  A) 4.05%  B) 4.02%  C) 4%  D) 3%  E) 2.01%

Solution: Percentage error in calculated area   =(1+1+(1Ã—1)/100)%   =2.01%   ANSW2.01%R:2.01%
Answer: E
A man swims downstream 36 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?	Choose the correct choice
A) 7 B) 8 C) 9 D) 2 E) 4

Solution: 36 --- 3 DS = 12   ? ---- 1   18 ---- 3 US = 6   ? ---- 1 M = ?   M = (12 + 6)/2= 
(12 + 6)/2 = 9
9   Answer:9
Answer: C
he ratio between the sale price and the cost price of an article is 5:6. What is the ratio between the profit and the cost price of that article?
Choose the correct choice from the following choices
A) 2:6 B) 1:8 C) 1:6 D) 2:1 E) 2:5

Solution: Let C.P. = Rs. 6x and S.P. = Rs. 5x.   Then, Gain = Rs. x   Required ratio = x : 6x = 1:6.   Answer:1:6
Answer: C
In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only English and not German? Select the correct option
A) 30	B) 10	C) 18	D) 8	E) 28

Solution: Let A be the set of students who have enrolled for English and B be the set of students who have enrolled for German.   Then, (A U B) is the set of students who have enrolled at least one of the two subjects. As the students of the class have enrolled for at least one of the two subjects, A U B = 40   We know A U B = A + B - (A n B)   i.e, 40 = A + 22 - 12   or A = 30 which is the set of students who have enrolled for English and includes those who have enrolled for both the subjects.   However, we need to find out the number of students who have enrolled for only English = Students enrolled for English - Students enrolled for both German and English= 30 - 12= 
30 - 12 = 18
18.   ANSWER:18
Answer: C
The population of a town is 20000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
Choose the correct choice from the following:
A) 24440
B) 24800
C) 28400
D) 28800
E) 28600

Solution: Explanation:   Formula: (After =100 denominator   Ago = 100 numerator)   20000 * 120/100 * 120/100 = 120 * 120 * 2= 
120 * 120 * 2 = 28_800
28800   Answer: Option 28800
Answer: D
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 21,000. What was Simran's share in the profit?  Choose the correct choice from the following.
A) Rs. 9423	B) Rs. 10,250	C) Rs. 9000	D) Rs. 14,000	E) None of these

Solution: Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4   Simran's share = 21000 * 3/7 = Rs. 9000   ANSWER:Rs. 9000
Answer: C
How many three-digit numbers ABC, in which A, B, and C are each digits, satisfy the equation 2B = A + C? Choose the correct option
A) 33  B) 36  C) 41  D) 45  E) 50

Solution: Possible solutions are   Diff of 0 --   111,222,........,999 = 9   Diff of 1 --   123, 234, ....., 789 =7x2 = 14   Diff of 2 --   135, 246.......579 = 5x2 = 10   Diff of 3 --   147,258,369 = 3x2 = 6   Diff of 4 --   159 = 1x2 = 2   Last   210, 420,630,840 = 4   So total is 9+14+10+6+2+4= 
9+14+10+6+2+4 = 45
45.   ANSWER:45
Answer: D
The price of a cycle is reduced by 25 % The new price is reduced by a further 20 %. The 2reductions together are equalto a single reduction of Choose the correct choice from the following answers:
A) 39	B) 45	C) 60	D) 56	E) 70

Solution: Let the original price of the cycle be 100. After the first reduction the price will be 75.   This new price is then reduced by 20% = 0.8 x 75 = 60   60 represents a reduction of 40 percent on the original.   60
Answer: C
On his first day working out, Anthony did
30 push-ups. On each successive day, he
did exactly 3 more push-ups than on the
previous day. After completing his push-ups
on the 30th day, how many push-ups had
he completed on all 30 days?	Choose the correct choice from the following
A) fewer than 500 B) between 500 and 1,000 C) between 1,000 and 1,500 D) between 1,500 and 2,000 E) more than 2,000

Solution: Anthony completed 30 push-ups the first day, 33 the second day, 36 the third day, and   so on. Make a chart as follows:   1 2 3 4 5 . . . 10 . . . 15 . . . 20 . . . 25 . . . 30   30 33 36 39 42 57 72 87 102 117   To save time adding all these numbers, notice that the total of the first and 30th numbers   is  30 + 117= 
 30 + 117 = 147
147. This total is the same for the 2nd and 29th, the 3rd and 28th, and so on all   the way to the 15th and 16th. Therefore, you have 15 pairings of days on which Anthony   completed 147 pushups. You can simply multiply to find the total: 147 × 15= 2,205.   correct answer more than 2,000) more than 2.000
Answer: E
A small college reduced its faculty by approximately 14 percent to 195 professors. What was the original number of faculty members?	Select
A) 182
B) 208
C) 227
D) 254
E) 302

Solution: If x is the original number of faculty members, then after 14% reduction in faculty members number is .86x   but we are given .86x = 195   x = 227   So the original number of faculty members is 227   227orrect Answer - 227
Answer: C
A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 67 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used?
Choose the correct choice from the following.
A) 16 B) 20 C) 32 D) 44 E) 48

Solution: lets say x ounces of P is mixed with Q.   => 67-x ounces of Q is present in the mixture (as the total = 67 ounces)   given total almond weight = 15 ounces   (20x/100)+(25/100)(67-x) = 15   => x = 35   => 67-35= 
67-35 = 32
32 ounces of Q is present in the mixture.   Answer is 32.
Answer: C
21 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?	Choose the correct choice from the following answers
A) None of these	B) 420	C) 212	D) 224	E) 240

Solution: Explanation :   He can go in any bus out of the 21 buses.   Hence He can go in 21 ways.   Since he can not come back in the same bus that he used for travelling,   He can return in 20 ways.   Total number of ways = 21 x 20 = 420. Answer : Option 420
Answer: B
Exactly two sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 4 times and the die lands with a red side up for the first time on the fourth roll? Choose the correct choice from the following options
A) 0.1026 B) 0.01024 C) 0.02 D) 0.03 E) 0.04

Solution: Total no. of sides = 10   Sides that are red = 2   Probability that the die lands with red side up = 2/10   Therefore, Probability that the die does not land with red side up = 1 - 2/10 = 8/10   Probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll   = (1st roll - non red face) X (2nd roll - non red face) X (3rd roll - non red face)x (4th roll- red face)   = (8/10) X (8/10) X (8/10) x(2/10)   = 1024/10000   = 0.01024   0.01024
Answer: B
In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 45, what is the least possible difference between n and m. Choose the correct option:
A) a.1
B) b.2
C) c.5
D) d.7
E) e.9

Solution: 2n+5m=45   try with n=5 and m=7 the equation will be satisfied   2(5)+5(7)=45   so difference between M and N is 2,   Answer b.2
Answer: B
The chance of rain on any given day in Tel-Aviv is 50%. What is the probability Z that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?  Choose the correct choice from the following answers:	A) 15/64	B) 30/64	C) 1/2	D) 1/4	E) 52/64

Solution: chances of rain on exactly 4 days and not rain on 2 days = (1/2)^4* (1/2)^2 = 1/64   Chosing 4 days out of 6 = 6!/(4!*2!) = 15   chances of rain on exactly 4 days out of 6 days Z = 15/64   15/64ns 15/64 it is.
Answer: A
Seven mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the seven arrange themselves in line such that Frankie’s requirement is satisfied?
Select the correct option
A) 1620	B) 1820	C) 2320	D) 2420	E) 2520

Solution: 7 mobsters can stand in 7! ways = 5040   in half of the cases one person will be ahead and in the other person in the other half.   thus   5040/2= 
  5040/2 = 2_520
2520 cases.   2520
Answer: E
Which of the following fractions is the largest?	Choices:
A) 1/24
B) 7/30
C) 1/45
D) 13/56
E) 1/72

Solution: For larger fraction, the numerator should be larger (denominators are same) and/or denominator should be smaller (numerators are same).   So comparing 1/24, 1/45 and 1/72, we ignore 1/45 and 1/72.   7/30 = 1/ (30/7) = 1/4.29   13/56 = 1/ (56/13) = 1/4.3   Since 1/4.29 has the smallest denominator, the largest fraction will be 7/30.   Answer (7/30)
Answer: B
The cost price of 15 articles is equal to the selling price of 11 articles. Find the profit percent?	Choose the correct choice from the following answers
A) 18 2/15  B) 36 4/11  C) 36 2/14  D) 18 2/16  E) 36 2/12

Solution: 15 CP = 11 SP   11 --- 2 CP   100 --- ? =>36 4/11%.Answer: 36 4/11
Answer: B
Find the sum of first 10 odd numbers  Choose the correct choice from the following choices.
A) 10 B) 40 C) 200 D) 100 E) 540

Solution: Explanation:   n2 = 102 = 100   Answer: Option 100
Answer: D
From a pack of cards, two cards are drawn one after the other, with replacement. What is the probability that the first card is a black card and the second card is a king or queen?	Choose the correct choice from the following answers: A) 1/52 B) 1/13 C) 1/26 D) 3/26 E) 17/26

Solution: P(black card) = 1/2   P(king or queen) = 2/13   P(black card then a king/queen) = 1/2 * 2/13 = 1/13   The answer is 1/13.
Answer: B
For my anniversary, I decided to surprise my wife. Since she is a voracious reader, I decided to collect a lot of books for her. On the first day of the month, I bought one book, on the second, I bought two and on the third, I bought three. This process went on till the anniversary and on the day, I had 190 books with me to gift her.
Can you calculate, on which day is our anniversary?
Choose one
A) 31 B) 28 C) 19 D) 33 E) 25

Solution: C   19rd day   1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19= 
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 = 190
190   Thus our anniversary falls on the 19rd day of the month.   You can apply other formulas to shorten the process but that is the simplest way to do it.
Answer: C
Two pipe A and B can fill a empty tank in 1 hour and 75 minute respectively.and there is pipe C for empty.if all three pipe open together in empty tank then tank get fill in 50 minutes.then in how much time pipe C take to empty the full tank?	Choose the correct choice from the following.
A) 100  B) 90  C) 80  D) 70  E) 60

Solution: The work of pipe C in 1 hour=[1/60+1/75-1/50]=1/100   so,pipe C will empty that tank in 100 minute.   answer 100
Answer: A
A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?
Choose the most appropriate option.
A) 18% B) 13% C) 12% D) 36% E) 15%

Solution: Original price = 100   CP = 80   S = 80*(170/100)= 
80*(170/100) = 136
136   100 - 136= 36%   Answer: 36%
Answer: D
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 42 white marbles. How many red marbles could be in bag A?
Pick one
A) 1  B) 3  C) 4  D) 10  E) 12

Solution: 6 is the answer.   Bag A-   R:W:B = 2:6:9   Let W in bag A be 6K   Bab B -   R:W = 1:4   Let W in bag B be 4P   W = 42= 6K+4P   => K =5, P=3   Total Red's in bag A will be 2K = 10   10
Answer: D
Each student at a certain business school is assigned a 6-digit student identification number. The first digit of the identification number cannot be zero, and the last digit of the identification number must be prime. How many different student identification numbers can the school create?  Choose the correct choice from the following answers:
A) 9,000
B) 3,600
C) 2,700
D) 360,000
E) 1,944

Solution: The identification number is of the form _ _ _ _   1. First digit cannot be 0   2. Middle digits can be anything   3. Last digit has to be prime - 2, 3, 5, 7   We can have the following number of possibilities for each space   __ __ __ __   9 10 10 10 10 4   Total cases = 360000   Option 360,000
Answer: D
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 6480 interest. The principal amount borrowed by him was.	Choose the correct choice from the following answers
A) Rs 14000  B) Rs 15000  C) Rs 16000  D) Rs 18000  E) None of these

Solution: Explanation:   S.I.=Pâˆ—Râˆ—T/100   =>P=S.I.âˆ—100/Râˆ—T   =>P=6480âˆ—100/12âˆ—3=Rs18000   Option Rs 18000
Answer: D
A boat goes 100 km downstream in 10 hours, and 45 m upstream in 15 hours. The speed of the stream is?  Pick.
A) 22 1/7	B) 22 1/4	C) 3 1/2	D) 22 1/1	E) 22 1/3

Solution: 100 --- 10 DS = 10   ? ---- 1   45 ---- 15 US = 3   ? ----- 1 S = (10 - 3)/2   = 3 1/2 kmp Answer: 3 1/2
Answer: C
40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
Choose one.
A) 70 B) 97 C) 87 D) 90 E) 76

Solution: Given, 40% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.   Given, marks of Robert = 80   30% of 80 = 30/100 * 8 = 24   Given, 40% of Ram's marks = 24.   => Ram's marks = (24 * 100)/40= 
(24 * 100)/40 = 60
60   Also, 20% of Rahim's marks= 24   => Rahim's marks = (24 * 100)/20= 
(24 * 100)/20 = 120
120   Average marks of Ram and Rahim= (60 + 120)/2= 
(60 + 120)/2 = 90
90.   Answer:90
Answer: D
When Sourav increases his speed from 20 Km/hr to 25 Km/hr, he takes one hour less than the usual time to cover a certain distance. What is the distance usually covered by him?	Answers
A) 125 Km B) 100 Km C) 80 Km D) 120 Km E) 60 km

Solution: DETAILED SOLUTION   Here, the distance travelled by Sourav is constant in both the cases. So,   20 x t = 25 x (t-1) = D   =) 20t = 25t - 25   =) 5t = 25   =) t = 5 hrs So, Distance travelled = 20 X 5 = 100 Km.   CORRECT ANSWER 100 Km.
Answer: B