MU-NLPC/Calc-aqua_rat huggingface dataset:
In one can of mixed nuts, 20% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts? Choose the correct choice from the following: A) 16 2/3% B) 26 2/3% C) 25% D) 33 1/3% E) 35%

Solution: Can 1: size 1; 30% nuts   Can 2: size 0.5 and 40% nuts   (1x0.2+0.5x0.4)/1.5=26.667= 26 2/3   26 2/3%
Answer: B
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets  Pick.
A) 40%  B) 50%  C) 65%  D) 70%  E) 75%

Solution: Number of runs made by running = 110 - (3 x 4 + 8 x 6)   = 120 - (60)= 
120 - (60) = 60
60   Now, we need to calculate 60 is what percent of 120.=> 60/120 * 100= 
60/120 * 100 = 50
50 %   50%
Answer: B
The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?	Choose the correct choice from the following: A) 22 kmph B) 40 kmph C) 20 kmph D) 15 kmph E) 23 kmph

Solution: Speed downstream = 40 + 20= 
40 + 20 = 60
60 kmph   Speed upstream= 40 - 20= 
40 - 20 = 20
20 kmph   Answer:20 kmph
Answer: C
On increasing the price of T.V. sets by 40%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?	Choose the correct choice from the following answers:	A) 4	B) 5	C) 56	D) 12	E) 7

Solution: Explanation:   Let the price be = Rs.100, and number of units sold = 100   Then, sale value = Rs.(100 × 100) = Rs.10000   New sale value = Rs.(140 × 80) = Rs.11200   Increase% = 1200/10000 × 100 = 12%   Answer: 12
Answer: D
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?	Choose the correct choice from the following choices:
A) 12 % B) 8 % C) 9 % D) 10% E) 4%

Solution: 4%xplanation:   65*(90/100)*((100-x)/100) = 56.16   x = 4%   Answer:4%
Answer: E
A sum of money is sufficient to pay P's wages for 24 days and Q's wages for 40 days. The same money is sufficient to pay the wages of both for? Choose the correct choice from the following:  A) 12  B) 13  C) 14  D) 15  E) 16

Solution: Let the total money be $x   P's 1day work = $ x/24   Q's 1day work = $ x/40   P+Q 1day work = $ x/15   Money is sufficient to pay the wages of both for 15days   Answer is 15
Answer: D
6 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote?  Choices.
A) 11
B) 12
C) 25
D) 36
E) 47

Solution: There are 9 candidates and a voter has to vote for any two of them.   So, the required number of ways is,   = 9C2 = 36.   36
Answer: D
A bat is bought for Rs.400 and sold at a gain of 20% find its selling price?
Choose the correct choice from the following.
A) Rs.460/-	B) Rs.480/-	C) Rs.500/-	D) Rs.520/-	E) Rs.540/-

Solution: 100 % ------> 400 (100 * 4 = 400)   120 % ------> 480 (120 * 4 = 480)   Selling price = Rs.480/-   Option 'Rs.480/-'
Answer: B
A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 10 members, the student advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committee are possible?	Options
A) 72 B) 110 C) 220 D) 495 E) 1096

Solution: student government + the student advisory board consists of  10 + 8= 
 10 + 8 = 18
18 members.   6 students hold membership in both, so they were counted twice.   The total number of people to choose from is 18 - 6= 
18 - 6 = 12
12   The number of ways to choose 8 members from 12 is 12C8= 495   The answer is 495.
Answer: D
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?  Choose the correct option: A) 50 B) 99 C) 88 D) 76 E) 12

Solution: The distance to be covered = Sum of their lengths = 200 + 300= 
200 + 300 = 500
500 m.   Relative speed= 72 -36= 
72 -36 = 36
36 kmph= 36 * 5/18= 
36 * 5/18 = 10
10 mps.   Time required= d/s = 500/10= 
500/10 = 50
50 sec.   50nswer:50
Answer: A
January 1, 2004 was a Thursday, what day of the week lies on January 1 2005.	Choose the correct choice from the following.
A) Saturday B) Monday C) Saturday D) Tuesday E) Wednesday

Solution: Explanation:   Given that January 1, 2004 was Thursday.   Odd days in 2004 = 2 (because 2004 is a leap year)   (Also note that we have taken the complete year 2004 because we need to find out the odd days from 01-Jan-2004 to 31-Dec-2004, that is the whole year 2004)   Hence January 1, 2005 = (Thursday + 2 odd days) = Saturday   Answer: Option Saturday
Answer: C
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places? Choose the correct choice from the following:  A) 125  B) 144  C) 516  D) 143  E) 142

Solution: The word MEADOWS has 7 letters of which 3 are vowels.   -V-V-V-   As the vowels have to occupy even places, they can be arranged in the 3 even places in 3! i.e., 6 ways. While the consonants can be arranged among themselves in the remaining 4 places in 4! i.e., 24 ways.   Hence the total ways are  24 * 6= 
 24 * 6 = 144
144.   Answer:144
Answer: B
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?  Choose the correct choice.
A) 5.09%
B) 5.9%
C) 5.6%
D) 3.6%
E) 78.6%

Solution: C.P. of 1 toy = 375/12 = Rs. 31.25   S.P of 1 toy = Rs. 33   Profit = 1.75/31.25 * 100 = 28/5= 
28/5 = 28/5 = around 5.6
5.6%   Answer:5.6%
Answer: C
If the probability of rain on any given day in Chicago during the summer is 50%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 9 inclusive? Choices:
A) 3/16
B) 5/16
C) 7/32
D) 11/32
E) 17/64

Solution: One possible case is: rainy-rainy-rainy-not rainy-not rainy-not rainy.   The probability of this case is (1/2)^6 = 1/64   The number of possible cases is 6C3 = 20.   P(exactly 3 rainy days) = 20*1/64 = 5/16   The answer is 5/16.
Answer: B
What least number must be subtracted from 427398 so that remaining no.is divisible by 12	Choose the correct choice from the following choices:
A) 3 B) 5 C) 6 D) 7 E) 8

Solution: Explanation:   On dividing 427398 by 12 we get the remainder 6, so 6 should be subtracted   Answer: Option 6
Answer: C
By selling 18 pencils for a rupee a man loses 15%. How many for a rupee should he sell in order to gain 15%? Choose the correct choice from the following choices:	A) 8	B) 9	C) 10	D) 89	E) 81

Solution: 85% --- 18   115% --- ?   85/115 * 18 = 13   Answer: 9
Answer: B
Which of the following are/is prime?
I. 143
II. 147
III. 149  Choose the correct choice from the following answers:
A) II only  B) III only  C) I & II  D) I & III  E) I, II, & III

Solution: Which of the following are/is prime?   I. 143:   - sum of digits multiple of 3? NO   - divisible by 7? NO   - divisible by 11? YES, 13x11=143 --> Not prime   II. 147   - sum of digits multiple of 3? YES, 1+4+7=12 --> Not prime   III. 149   - sum of digits multiple of 3? NO   - divisible by 7? NO   - divisible by 11? NO   - divisible by 13? NO   III only is the only possible solution
Answer: B
John is driving A Royal Enfield motor cycle at 66 km per hour when his rest duration is not considered. He takes small breaks each of 1 minute for every 10 minute of his drive. How much distance will the motor cycle cover in 90 minutes?  Choose the most appropriate option:
A) 89.9Km B) 89.1Km C) 89.2Km D) 89.3Km E) 89.8Km

Solution: he take break each of 1 minute for every 10 minutes so he drives 81 minutes     66/60*81= 
  66/60*81 = 891/10 = around 89.1
89.1km   ANSWER:89.1Km
Answer: B
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?	Pick one
A) 2  B) 6  C) 7  D) 8  E) 9

Solution: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.   Hence, n=2mn=2m, where mm is a positive integer. Then,   (n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)   =4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8   Hence, the answer is (8).
Answer: D
John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is?
Answers.
A) 50
B) 58
C) 60
D) 65
E) 70

Solution: (x+x1+...x14)/15 = 40   50   Option 50
Answer: A
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 57 kmph, find the speed of the stream?
Choose the correct answer.
A) 15	B) 17	C) 19	D) 18	E) 16

Solution: The ratio of the times taken is 2:1.   The ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1)= 
(2+1)/(2-1) = 3
3/1= 
3/1 = 3
3:1   Speed of the stream= 57/3= 
57/3 = 19
19 kmph.   Answer:19
Answer: C
If 5% of a number is equal to one-third of another number, what is the ratio of first number to the second number? Options: A) 2:5 B) 20:3 C) 3:7 D) 6:11 E) 2:3

Solution: Let 5% of A = 1/3 20:3   then 5A/100 = 120:3/3   A/20 = 20:3/3   A/20:3 = 20/3   A:20:3 = 20:3   Answer is 20:3
Answer: B
If a farmer sells 5 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 10 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have? Choices:
A) 12	B) 24	C) 20	D) 55	E) 60

Solution: Say farmer has n chicken and he is good for d days.:-   We have 3 equations given in question:-   (n-5) * d+4 =(n+10) *(d-3) = n * d   Solving these: (You can solve 1st and 3rd and 2nd and 3rd together)   We get:   10d-3n=30   4n-5d =20   => n=20   Ans 20 it is!
Answer: C
If a·b·c·d=450, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a?  Select
A) 9  B) 10  C) 11  D) 13  E) 15

Solution: prime factorize : 450 = 2*3*5*15   Hence a = 2 and d = 15 .   Hence answer is  15 - 2= 
 15 - 2 = 13
13   Answer 13
Answer: D
A crate measures 3 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?  Answers:
A) 27 B) 3 C) 6 D) 8 E) 12

Solution: We can find the radius of all the three cases of cylinders.   The only crux to find the answer faster is that:   Voulme is pi*r^2*h. The volume is a function of r^2. so r has to be the highest to find the largest volume.   So r=3 for the surface 8*12 face.   Volume = 27pi   Answer 3
Answer: B
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) 2 2 ½ kmph
B) 6 2 ½ kmph
C) 5 2 ½ kmph
D) 2 8 ½ kmph
E) 6 5 ½ kmph

Solution: 100 --- 10 DS = 10   ? ---- 1   75 ---- 15 US = 5   ? ----- 1 S = (10 - 5)/2   = 2 2 ½ kmph   2 2 ½ kmphnswer:2 2 ½ kmph
Answer: A
31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 18 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?  Choose the correct option: A) A)11 B) B)18 C) C)24 D) D)29 E) D)36

Solution: lets solve by creating equation..   W = 31..   Total = 50..   Not W = 50 -31= 19..   Now let people who were neither be x, so out of 19 who won Nobel = x+3..   so x+x+3=19 or x=8..   so who won Nobel but not Wolf = x+3 = 11..   But people who won BOTH W and N = 13..   so total who won N = 11+18 = 29..   29
Answer: D
A person walks from one end to the other of a 90-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?	Pick:
A) 36
B) 42
C) 48
D) 54
E) 60

Solution: Let v be the speed of the person and let x be the speed of the walkway.   30(v+x)=90 then 120(v+x)=360   120(v-x)=90   When we add the two equations:   240v=450   v=15/8   time = 90 / (15/8)= 
90 / (15/8) = 48
48 seconds   The answer is 48.
Answer: C
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Choose one: A) 30, 40 B) 30, 47 C) 30, 46 D) 30, 498 E) 30, 41

Solution: Their present ages be 3X and 4X.   5 years age, the ratio of their ages was 5:7, then (3X - 5):(4X - 5) = 5:7   X = 35 - 25 => X = 10.   Their present ages are: 30, 40.   30, 40nswer: 30, 40
Answer: A
A and b make a business together, and make a profit of Rs 84000. If A get Rs 48000, what was the ratio of investment between them?	Select:
A) 4 : 3
B) 3 : 2
C) 5 : 2
D) 4 : 5
E) 6 : 5

Solution: 4 : 3 get 48000   Then B get = (84000-48000)= 
(84000-48000) = 36_000
36000   Ratio between 4 : 3 and B is= 48000 : 36000 = 4 : 3   4 : 3nswer : Option 4 : 3
Answer: A
Solve the following quadratic equation by factoring.
u2+15u=-50	Choose the correct choice from the following
A) -5,-10 B) 5,10 C) 4,3 D) -4,3 E) 2,5

Solution: u+5=0=>u=-5   u+10=0=>u=-10   -5,-10NSWER -5,-10
Answer: A
A certain sum earns simple interest of Rs. 800 in 2 years at a certain rate of interest. If the same sum earns compound interest of Rs.900in the same period of 2 years, What must be the rate of interest? Choose the most appropriate option.
A) 25%  B) 10%  C) 15%  D) 20%  E) 30%

Solution: Explanation:   Given: 800 = (P * R * 2) / 100   S.I. For 1 year = Rs. 400   Thus, (900 – 800) = S.I. on Rs. 400 for 1 year   100 = (400 * R * 1) / 100   R = 25% p.a.   25%NSWER: 25%
Answer: A
In a consumer survey, 66% of those surveyed liked at least one of three products: 1, 2, and 3. 35% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 8% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products? Choose the correct choice from the following:	A) 9	B) 10	C) 11	D) 12	E) 13

Solution: 35 + 30 + 20= 
35 + 30 + 20 = 85
85   This number includes some people counted twice and some people counted three times.   85 - 66= 
85 - 66 = 19
19, and this number represents people counted twice or three times.   8% of the people are counted two extra times.   The percentage of people counted one extra time is 19 - 8(2)= 3.   The percentage of people who liked more than one product is 8% + 3% = 11%.   The answer is 11.8  + 3= 
8  + 3 = 11
11%.   The answer is 11.
Answer: C
Which of the following is true about 0<|x|-2x<5?	Choose the correct choice from the following:	A) -1<x<0	B) 0<x<1	C) 1<x<2	D) 2<x<3	E) 3<x<4

Solution: when can be |x|-2x be greater than 0..   NEVER when x is positive..   ONLY A is left..   you can also substitute any value within the given range to check for answer   Example - put x as -0.5 for A. -1<x<0..   so |x|-2x = |-0.5|- 2*(-0.5) = 0.5+1 -0.5 - 2*(-0.5)= 
-0.5 - 2*(-0.5) = 0.5
0.5+1= 
0.5+1 = 1.5
1.5 and it satisfies 0<|x|-4x<5   -1<x<0
Answer: A
A trader marked the selling price of an article at 12% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of : Choose the correct choice from the following
A) 10 %	B) 10.5 %	C) 11 %	D) 12.5 %	E) 9.8

Solution: Sol.   Let C.P. = Rs. 100. Then, Marked Price = Rs. 110, S.P. = Rs. 99.   ∴ Discount % = [11/112 * 100] % = 9.8%   Answer 9.8
Answer: E
In how many ways can 3 hats be formed out of 3 blue hats and 10 red hats?  Select:	A) 12	B) 302	C) 1	D) 250	E) 286

Solution: Total number of hats = 13Possible number of formations = 13C3 = 286Correct answer is 286
Answer: E
Two numbers when divided by a divisor leave remainders of 208 and 332 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
Choose the correct choice from the following.
A) 335  B) 365  C) 387  D) 472  E) 516

Solution: Let x be the divisor.   N1 = xa + 208   N2 = xb + 332   N1 + N2 = x(a+b) + 540 = xc + 68   x(c-a-b) = 472 but we know that x > 332, thus (c-a-b) must equal 1.   The answer is 472.
Answer: D
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.40 for every box, and if the university needs 2.4 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes? Pick one:
A) $200  B) $275  C) $510  D) $1,250  E) $2,550

Solution: The volume of each box is 20*20*12= 
20*20*12 = 4_800
4800 cubic inches.   Number of boxes= 2,400,000/4800 = 500 boxes   Total cost = 500×$0.4=$200   The answer is $200.
Answer: A
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.3 per sq m?	Choices:
A) 1350
B) 1357
C) 2025
D) 2052
E) 2122

Solution: Area = (l + b +2d) 2d   = (75 + 55 +2.5 * 2) 2*2.5 => 675   675 * 3 = Rs.2025   Answer:2025
Answer: C
A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money J did Bob receive?	Choose the correct choice from the following answers:
A) 20
B) 22
C) 24
D) 26
E) 52

Solution: Notice that we need not consider Ann's portion in the solution. We can just let K = the money REMAINING after Ann has received her portion and go from there.   Our equation will use the fact that, once we remove Bob's portion, we have $32 for Chloe.   So, we getK - Bob's $ = 32   Bob received 4 dollars plus one-third of what remained   Once Bob receives $4, the amount remaining is K-4 dollars. So, Bob gets a 1/3 of that as well.   1/3 of K-4 is (K-4)/3   So ALTOGETHER, 22ob receives4 + (K-4)/3   So, our equation becomes:K -[4 + (K-4)/3 ]= 32   Simplify to get: K - 4 - (K-4)/3 = 32   Multiply both sides by 3 to get: 3K - 12 - K + 4 = 96   Simplify: 2K - 8 = 96   Solve: K = 52   Plug this K-value intoK - 22ob's $ = 32to get: 52 - 22ob's $ = 32   So, 22ob's $ J= 20   Answer:   22
Answer: B
A horse is tied to one corner of a square playground of side 20m by a rope 3.5m long. Find the area it can move in that playground?	Choose one.
A) 9.625  B) 10.5  C) 11.125  D) 12.5  E) 14.45

Solution: 9.625rea covered by horse = Pi*r^2/4 ( here we divide by 4 because rope is tied at the corner of the playground and only 1/4 part , the horse can move in that playground.)   where r= 3.5 m = length of rope   So area = (22/7)*3.5*3.5/4= 
(22/7)*3.5*3.5/4 = 9.625
9.625 sq m   answer :9.625
Answer: A
In a triangle, one side is 5 Cm and another side is 9 Cm. which of the following can be the perimeter of the triangle? Select.
A) 18.	B) 25.	C) 30.	D) 32.	E) 23.

Solution: Given : one side is 5 Cm and another side is 9 Cm. So the 3rd side will be > 3 and < 15. Thus the perimeter will be : 18 < perimeter < 30. Only option satisfying this condition is 23. Hence 23..
Answer: E
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 50 percent, what is the discount rate on Pony jeans?	Choose the correct choice from the following answers:
A) 9%
B) 10%
C) 110%
D) 120%
E) 150%

Solution: x discount on Pony jeans, (0.5-x) discount on Fox jeans.   Set the equation: 3*15(0.5-x)+2*18x=9 --> x=1.5=150%   Answer: 150%.
Answer: E
What is the unit digit of 3^58? Options:
A) 0
B) 5
C) 7
D) 1
E) 9

Solution: Unit digit in 3^58 = unit digit in [(3^4)^14]*3^2 = 1*9= 
1*9 = 9
9   Answer is 9
Answer: E
By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is:
Select the correct option:
A) Rs 23 B) Rs 25 C) Rs 24 D) None of these E) Cannot be determined

Solution: Explanation:   Cost Price of 5 kg = Rs.(14*2 + x*3) = (28 + 3x).   Sell price of 5 kg = Rs. (22x5) = Rs. 110.   [{110 - (28 + 3x)}/(28 + 3x) ]* 100 =10   [82-3x/28 + 3x]  110 - (28 + 3 ) /(28 + 3 )  * 100= 
  110 - (28 + 3 ) /(28 + 3 )  * 100 = 10
10   [82-3x/28 + 3x]= 1 / 10   820 - 30x = 28 +3x   33x = 792   x = 24   Answer: Rs 24
Answer: C
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?  Choose the correct answer
A) 120 cm2	B) 176 cm2	C) 112 cm2	D) 166 cm2	E) 167 cm2

Solution: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm.   120 cm2rea of the triangle   = 1/2 * 24 * 10= 
1/2 * 24 * 10 = 120
120 cm2   120 cm2nswer:120 cm2
Answer: A
Two trains of length 160 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?	Choose the correct option:
A) 28 B) 266 C) 990 D) 20 E) 22

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 160 + 280= 
160 + 280 = 440
440 m.   The time required= d/s = 440/20= 
440/20 = 22
22 sec.   Answer: 22
Answer: E
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?	Choose the correct answer.
A) 288 B) 277 C) 284 D) 108 E) 133

Solution: The boy can select one trouser in nine ways.   The boy can select one shirt in 12 ways.   The number of ways in which he can select one trouser and one shirt is   9 * 12= 
  9 * 12 = 108
108 ways.   Answer: 108
Answer: D
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?	Choices:
A) 2.5 sec
B) 2.8 sec
C) 8.5 sec
D) 2.7 sec
E) 8.5 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 100/40= 
100/40 = 5/2 = around 2.5
2.5 sec.   2.5 secnswer:2.5 sec
Answer: A
If the average of 365, 409, 187, 420, 451, and x is 314, then what is x?
Answers:	A) 190	B) 52	C) 232	D) 114	E) 400

Solution: x = 52 because:   (365+409+187+420+451+x)/6=314   (365+409+187+420+451+x)/6*6=314*6   (365+409+187+420+451+x)=1884   (365+409+187+420+451+x)-1832=1884-1832= 
1884-1832 = 52
52   Therefore, the answer is 52, 52.
Answer: B
If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/5 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Choose the correct choice from the following choices.
A) 5/2  B) 10/3  C) 15/4  D) 25/3  E) 25/6

Solution: N = 2D/5   J = N/5 = 2D/25   The average of November and January is (N+J)/2 = 12D/25 / 2 = 6D/25   D is 25/6 times the average of November and January.   The answer is 25/6.
Answer: E