MU-NLPC/Calc-aqua_rat huggingface dataset:
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train? Select the correct option
A) 287	B) 699	C) 677	D) 168	E) 200

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: E
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
Choose one:
A) 70% p.a  B) 50% p.a  C) 20% p.a  D) 10% p.a  E) 90% p.a

Solution: Explanation:   Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year.   Rate of interest = (100 * 240) / (100 * 1) = 20% p.a   Answer: 20% p.a
Answer: C
John has $1,200 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have? Options
A) $200	B) $400	C) $600	D) $800	E) $1,200

Solution: Suppose total money spent = x   Not spend (Money he still has)= x-800   x+x-800 = 1200   x= 1000   Money not spend= 1000-800= 
1000-800 = 200
200   $200nswer : $200
Answer: A
From among the 39 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?  Answers:  A) 1360  B) 1260  C) 1060  D) 1482  E) 1460

Solution: There are 39 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 39 ways. When one person is appointed as leader, we are left with 35 students. Out of these 38 teachers, we can select one class representative. So, a class representative can be selected in 38 ways. Hence, the number of ways in which a leader and class representative can be selected = 39 x 38 = 1482   ANSWER:1482
Answer: D
What will be the fraction of 33.33%  Select the correct option:
A) 1/4 B) 1/5 C) 1/3 D) 1/8 E) None of above

Solution: Explanation:   It will 33.33*1/100 = 1/3   Answer: Option 1/3
Answer: C
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:  A) 258 m  B) 240 m  C) 278 m  D) 289 m  E) 268 m

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 20= 
15 * 20 = 300
300 m.   Let the length of the platform be x m . Then,   (x + 300)/36= 15 => x = 240 m.   Answer:240 m
Answer: B
An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 4 o’clock in the afternoon?  Select.
A) 60°
B) 90°
C) 180°
D) 320°
E) 240°

Solution: Sol.   Angle traced by the hour hand in 8 hours = [360/12 * 8= 
360/12 * 8 = 240
240°   Answer 240°
Answer: E
10 litres of water are poured into an aquarium of dimensions 50cm length, 10cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)  Choose the correct choice from the following.
A) 6 B) 8 C) 10 D) 20 E) 40

Solution: lXbXh= 10000   h= 10000/50*10= 20 cm   '20' is the answer.
Answer: D
Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $40.00 on four CDs and five tapes, how much does one tape cost? Choices.
A) $4.00  B) $6.25  C) $12.00  D) $25.00  E) $100.00

Solution: CD => C   Type => T   Carol: 4C+5T=40   $4.00nna: 12C+5T=80   12C-4C=40   8C=40   C=5   4C+5T=40   20+5T=40   5T=20   T=4   $4.00nswer is $4.00
Answer: A
A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
Choose the most appropriate option:  A) 1522  B) 1500  C) 1789  D) 2689  E) 2689

Solution: Let the sum lent to C be Rs. x. Then,   (2500 * 7 * 4) / 100 + (x * 7 * 4) / 100 = 1120   7/25 x = (1120 - 700) => x = 1500   Answer: 1500
Answer: B
Ages of two persons differ by 18 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age  Pick one:  A) 12,28  B) 15,33  C) 16,32  D) 18,34  E) 19,34

Solution: Explanation:   Let the age of younger person is x,   Then elder person age is (x+18)   => 3(x-6) = (x+18-6) [6 years before]   => 3x-18 = x+12   => x = 15.   So other person age is x + 18 = 33   Answer: Option 15,33
Answer: B
There are 100 men in town. Out of which 85% were married, 70% have a phone, 75% own a car, 80% own a house. What is the maximum number of people who are married, own a phone, own a car and own a house?  Choose the correct choice
A) 20 B) 15 C) 10 D) 5 E) None of these

Solution: % of married = 85%   % of phone = 70%   % of car = 75%   % of house = 80.   Therefore,   % of not married = 15%   % of not having phone = 30%   % of not owning car = 25%   % of not having house = 20%   So, % of not having any of these things = 15 +25+ 30 + 20= 
15 +25+ 30 + 20 = 90
90%   So, % of people having all= 100 -90= 
100 -90 = 10
10%   Thus, people= 10.   ANSWER -OPTION 10
Answer: C
To 15 lts of water containing 20% alcohol, we add 5 lts of pure water. What is % alcohol.  Pick:
A) 25%
B) 35%
C) 15%
D) 18%
E) 19%

Solution: since 20% alcohol in 15 lit=(15*20)/100= 
(15*20)/100 = 3
3 lit   since total water=(15-3)+5= 
(15-3)+5 = 17
17   total mix=3+17= 
3+17 = 20
20   % of alcohol=(3/20)*100= 
(3/20)*100 = 15
15%   ANSWER:15%
Answer: C
A student got 71% in math and 81% in history. To get an overall average of 75%, how much should the student get in the third subject?	Choose the correct answer:
A) 63%
B) 75%
C) 77%
D) 79%
E) 81%

Solution: 71 + 81 + x = 3*75   x = 73   The answer is 63%.
Answer: A
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12% while buying and by 30% while selling. What is his percentage profit?  Select the correct option:
A) 10.22%  B) 20.22%  C) 21.22%  D) 60%  E) Can't be calculated

Solution: The owner buys 100 kg but actually gets 112kg;   The owner sells 100 kg but actually gives 70kg;   Profit:   (112-70)/70*100= 
  (112-70)/70*100 = 60
~60%   Answer: 60%.
Answer: D
In a class of 35 students 26 play football and play 20 long tennis, if 17 play above, many play neither?	Choose the correct choice from the following choices:
A) 6
B) 8
C) 10
D) 12
E) 14

Solution: 26 + 20 - 17= 
26 + 20 - 17 = 29
29   35 - 29= 
35 - 29 = 6
6 play neither   6nswer is 6
Answer: A
A and B are two circles. The radius of A is thrice as large as the diameter of B. What is the ratio between the areas of the circles?	Choose the correct choice from the following answers.
A) 1:18.  B) 1:20.  C) 1:4.  D) 1:36.  E) 1:16.

Solution: Given : The radius of A is thrice as large as the diameter of B. => R(a) = 3*D(b) = 3*2*R(b) = 6R(b). The radius are in ratio of 1:6 thus the area will be in the ratio of square of radius. 1:36. Hence 1:36..
Answer: D
The sum of 3 hours 45 minutes and 4 hours 55 minutes is approximately what percent of a day?	Choose the most appropriate option
A) 33%  B) 34%  C) 35%  D) 36%  E) 37%

Solution: Since the question is asking for an approximate percentage   3:45+4:55 ~ 9 hours   % of day = 9*100/24 ~ 9*100/25= 
9*100/25 = 36
36%   Answer is 36%.
Answer: D
If it is 6:17 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)  Choose the most appropriate option.
A) 6:22
B) 6:24
C) 6:27
D) 6:20
E) 6:32

Solution: 6:17minus 2,880,717in any way must end with 0, the only answer choice which ends with 0 is D.   Answer: 6:20.
Answer: D
There are 7 meetings A,B,C,D,E,F,G. One meeting should be happen in one day. Meeting A is on Sunday and the meetings shoud be happen afterB. Then E ,F,G meeting occur in 3 conjucutive day. And meeting G is on Saturday.Next metting should occur in which day?	Answers
A) sunday	B) monday	C) tuesday	D) wednesday	E) friday

Solution: It is given that E, F, G meetings occur in 3 consecutive days and meeting G is on Saturday. It is also given that A is on Sunday so definitely days for E and F would be Friday and Thursday. Since meetings should be happen after monday so the day for monday would be Wednesday so next meeting should occur in monday   ANSWER:monday
Answer: B
Three numbers are in the ratio 1:2:3 and their H.C.F is 12. The numbers are:
Answers:
A) 4, 8, 12  B) 5, 10, 15  C) 10, 20, 30  D) 12, 24, 36  E) 12, 24, 39

Solution: Let the required numbers be x, 2x and 3x. Then, their H.C.F = x. So, x = 12.   The numbers are 12, 24, 36.   ANSWER:12, 24, 36
Answer: D
The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:  Choose the correct choice from the following answers:
A) 2.3 m	B) 4.6 m	C) 7.8 m	D) 9.2 m	E) 10.1

Solution: Let AB be the wall and BC be the ladder.   Then, ACB = 60º and AC = 4.6 m.   AC/BC= cos 60º =1/2   BC = 2 x AC   = (2 x 4.6) m   = 9.2 m.   Answer: Option 9.2 m
Answer: D
The combined area of the two black squares is equal to 1000 square units. A side of the larger black square is 8 units longer than a side of the smaller black square. What is the combined area of the two white rectangles in square units?
Choose one:	A) 928	B) 936	C) 948	D) 968	E) 972

Solution: The length of a smaller square - x;   The length of a larger square - x+8;   The area of entire square - x^2+(x+8)^2=1000 --> 2x^2+16x=936;   The combined area of the two white rectangles - x(x+8)+x(x+8)=2x^2+16x --> look up: 2x^2+16x=936.   Answer: 936.
Answer: B
If 8 gallons of gasoline are added to a tank that is already filled to 3/4 of its capacity, the tank is then filled to 9/10 of its capacity. How many gallons does the tank hold?
Choose the correct choice from the following:
A) 20 B) 24 C) 36 D) 48 E) 60

Solution: Let the Capacity of the tank=C   (3/4)C + 8 = (9/10)C   =>(9/10)C - (3/4)C = 8   =>(3/20)C = 8   =>C = (8*20)/3 = 53.33   Number of gallons of gasoline that the tank currently holds = 3/4*C +8 = 39.99+8= 
39.99+8 = 47.99
47.99=48   Answer 48
Answer: D
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?	Choose the most appropriate option
A) 1/6  B) 1/3  C) 1/2  D) 2 by 3  E) 5/6

Solution: In order to make even nos. by multiplication,   we should have even * odd, odd * even or even * even   Total even nos. possible by multiplying nos. from the 2 sets:   (1*6);   2* any of the three from Set B;   3*6;&   4* any of the three from set B    1+3+1+3= 
 1+3+1+3 = 8
8   Total possibilities=4 * 3= 
4 * 3 = 12
12   P(event)=8/12 or 2/3   Ans 2 by 3
Answer: D
In how many different ways can the letters of the word â€˜CASESâ€™ be arranged?  Choose the correct choice.
A) 250	B) 280	C) 60	D) 310	E) 360

Solution: Number of ways = 5!/2! = 5X4X3X2X1/2X1 = 60   60
Answer: C
100kg of an alloy A is mixed with 200 kg of alloy B. If alloy A has lead and tin in the ratio 5:3 and alloy B has tin and copper in the ratio 2:3, then the amount of tin in the new alloy is?
Choose the correct choice from the following options.
A) 100.6kg
B) 120.3kg
C) 117.5kg
D) 110.8kg
E) 114kg

Solution: Quantity of tin in 100kg of A = 100*3/8= 
100*3/8 = 75/2 = around 37.5
37.5kg   Quantity of tin in 200kg of B= 200*2/5= 
200*2/5 = 80
80kg   Quantity of tin in the new alloy= 37.5+80= 
37.5+80 = 117.5
117.5kg   Answer is 117.5kg
Answer: C
a and b are positive integers less than or equal to 9 and multiple of 4. If a and b are assembled into the seven-digit number abaabab, which of the following must be a factor of abaabab?
Choose the correct choice from the following answers:  A) 3  B) 4  C) 5  D) 7  E) 8

Solution: The last two digit of the number are ab. Both a and b are multiple of 4,thus the last two digits are divisible by 4, which makes the number abaabab divisible by 4. Thus 4 is always a factor of abaabab.   Answer: 4
Answer: B
A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?
Choose the correct choice from the following:
A) 126
B) 776
C) 266
D) 299
E) 271

Solution: Explanation:   There are 8 students and the maximum capacity of the cars together is 9.   We may divide the 8 students as follows   Case I: 5 students in the first car and 3 in the second   Or Case II: 4 students in the first car and 4 in the second   Hence, in Case I: 8 students are divided into groups of 5 and 3 in8C3 ways.   Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4ways.   Therefore, the total number of ways in which 8 students can travel is:   \inline {\color{Blue}8C_{3}+8C_{4}}=56 + 70= 
56 + 70 = 126
126   126nswer: 126) 126
Answer: A
Susan drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 60 miles/hr for the remaining 20 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip
Choose the correct choice from the following answers
A) 35	B) 20	C) 45	D) 50	E) 55

Solution: Avg. speed = total distance / total time   Total distance = 60 miles   Total time = 40 / 15 + 20/60= 
40 / 15 + 20/60 = 3
3   Avg. speed= 20.   Answer - 20
Answer: B
A man is 35 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is  Choose the correct answer:
A) 78 years  B) 22 years  C) 33 years  D) 66 years  E) 65 years

Solution: Let's Son age is x, then Father age is x+35.   => 2(x+2) = (x+35+2)   => 2x+4 = x+37   => x = 33 years   Answer: 33 years
Answer: C
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent T of the cost would the gross profit on the item have been if it had been sold without the discount?  Choose the correct choice from the following options:
A) 20%  B) 40%  C) 50%  D) 60%  E) 75%

Solution: Let the Market Price of the product is MP.   Let the Original Cost Price of the product is CP.   Selling Price (Discounted Price) = 100%of MP - 20%MP   = 80% of MP. ---------------- (1)   Profit made by selling at discounted price = 20% of 50%P -------------- (2)   Apply the formula:   Profit T= Selling Price - Original 50%ost Price   => 20% of 50%P = 80% of MP - 100% 50%P   => MP = 12050%P/80 = 3/2 (50%P)   Now if Product is sold without any discount, then,   Profit = Selling Price (without discount) - Original 50%ost Price   = Market Price - Original 50%ost Price   = MP - 50%P   = 3/2 50%P - 50%P   = 1/2 50%P   =50%of 50%P   Thus, Answer should be50%.
Answer: C
If x is 11 percent greater than 80, then x =
Select the correct option:	A) 88.8	B) 91.0	C) 88.0	D) 70.9	E) 71.2

Solution: 11% of 80 = (80*0.11)= 
(80*0.11) = 8.8
8.8   11% greater than 80= 80 + 8.8= 
80 + 8.8 = 88.8
88.8   88.8nswer is clearly 88.8.
Answer: A
If a sample of data has mean of 24 and SD of 3, which of the following values is more than 2.5 SDs from the mean?  Choose the correct choice from the following answers:
A) a. 19 B) b. 18.5 C) c. 15 D) d. 23.5 E) e. 26.5

Solution: Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5SD=7.5. So the value either < 24-7.5= 
 24-7.5 = 16.5
16.5 or >24+7.5=31.5.   Answer: c. 15.
Answer: C
A fruit seller has oranges, apples and guavas in the ratio 2:5:8. The number of apples is more than the number of oranges by a number that is a multiple of both 6 and 11. What is the minimum number of fruits in his shop?	Choose the correct answer.
A) 240  B) 360  C) 120  D) 90  E) 80

Solution: DETAILED SOLUTION   Let the number of fruits be 2k, 5k and 8k   Given, 5k – 2k = multiple of 6 and 8   L120M of 6 and 8 is 24   Let’s say 5k – 2k = 24n   3k = 24n   For k to be a natural number and have minimum value, n should be equal to 1   3k = 24   Or k = 8   Hence, the number of fruits = 2k + 5k + 8k   = 15 * 82  + 5  + 8= 
2  + 5  + 8 = 15
15 * 8= 
15 * 8 = 120
120   120orrect Answer:120
Answer: C
Find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 9 cm and 6 cm?	Choose the correct choice from the following answers:  A) 189 cm2  B) 300 cm2  C) 127 cm2  D) 177 cm2  E) 187 cm2

Solution: 1/2 * 40(9 + 6)   = 300 cm2   Answer: 300 cm2
Answer: B
A four-character password consists of one letter of the alphabet and three different digits between 0 and 8, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choose the correct answer:
A) 5,040
B) 18,720
C) 26,000
D) 26,208
E) 52,000

Solution: 4 character password: DLDD   First digit can be chosen in 9 ways.   The letter can be chosen in 26 ways.   Next digit can be chosen in 8 ways.   Next digit can be chosen in 7 ways.   This gives us 9*26*8*7ways   Now, the letter can also be 26,20826,208L26,208 so there will be another 9*26*8*7 ways   Total = 9*26*8*7*2 = 26,208 ways 26,208
Answer: D
Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time T will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Choose the correct choice from the following options
A) 2 minute and 12 seconds.  B) two minutes.  C) 44 seconds.  D) 20 seconds.  E) 12 seconds.

Solution: Tom is running alone for 20 seconds.   So he will cover a distance of  20*2.5= 
 20*2.5 = 50
50 m in 20 seconds=T   Basically, Jerry has not started yet , and Tom has covered the distance alone and met Jerry on the other side   20 seconds. is the answer
Answer: D
Find the number of factors of 300 excluding 1 and itself.	Options.
A) 22	B) 28	C) 16	D) 88	E) 26

Solution: Explanation:   300 = 4.75 = 4.25.3 = 22.52.31   Number of factors of 300 = (2 + 1)(2 + 1)(1 + 1) = 18.   There are 16 factors of 300 excluding 1 and itself.   Answer: 16
Answer: C
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 60. If the restaurant serves 120 customers today, raising the average to 70 customers per day, what is the value of x?
Select the correct option
A) 2  B) 5  C) 9  D) 15  E) 30

Solution: WITHOUTusing the formula, we can see that today the restaurant served 50 customers above the average. The total amount ABOVE the average must equal total amount BELOW the average. This additional 50 customers must offset the “deficit” below the average of 70 created on the x days the restaurant served only 60 customers per day.   50/10= 
50/10 = 5
5 days.Choice (A).   WITHthe formula, we can set up the following:   70= (60x + 120)/(x + 1)   70x + 70 = 60x + 120   10x = 50   x = 5Answer Choice (5)
Answer: B
Darcy, Gina, Ray and Susan will be the only participants at a meeting. There will be three soft chairs in the room where the meeting will be held and one hard chair. No one can bring more chairs into the room. Darcy and Ray will arrive simultaneously, but Gina and Susan will arrive individually. The probability that Gina will arrive first is 1/3, and the probability that Susan will arrive first is 1/3. The probability that Gina will arrive last is 1/3, and the probability that Susan will arrive last is 1/3. Upon arriving at the meeting, each of the participants will select a soft chair, if one is available.
If Darcy and Ray arrive and see only one unoccupied soft chair, they will flip a fair coin to determine who will sit in that chair. By what percent is the probability that Darcy will sit in a soft chair greater than the probability that Gina will sit in a soft chair?	Choose one.
A) 50%
B) 25%
C) 16 2/3%
D) 12 1/2%
E) 0%

Solution: Location of D to access a soft Chair   If DR comes in first or second place both as R D they will access a soft Chair, this means that D in this situation has 1/3 + 1/3 to a soft Chair.   If DR comes third (last), D has a probability of (1/2) x (1/3) access to a soft Chair.   Then in all cases D has a probability of 1/3 + 1/3 + (1/2) x (1/3) = 5/6 access to a soft Chair.   Location of G to access a soft Chair   To G enter a soft Chair, you can only get in first or second place, if it reaches third we have addressed three soft chairs DR two soft chairs and S a soft Chair.   The probability that G arrives in first or second place is 1/3 + 1/3 = 2/3 = 4/6   Finally the highest percentage who 12 1/2% on G accesses a soft Chair is:   100 x (5/6 - 4/6) /(4/6) = 25%   ANSWER:12 1/2%
Answer: D
Of all the homes on Gotham Street, 1/3 are termite-ridden, and 2/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing? Answers.
A) 2/15	B) 3/15	C) 4/5	D) 2/5	E) 1/5

Solution: The fraction of homes which are termite-infested but not collapsing is 3/5*1/3 = 1/5   The answer is 1/5.
Answer: E
16 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?  Choose the correct choice from the following choices
A) 32 B) 87 C) 30 D) 99 E) 77

Solution: 3W = 2M   16M ------ 21 * 8 hours   21 W ------ x * 6 hours   14 M ------ x * 6   16 * 21 * 8 = 14 * x * 6   x = 32   32nswer: 32
Answer: A
If four fair dice are thrown simultaneously, what is the probability of getting at least one pair?  Options.
A) 1/6	B) 5/18	C) 1/2	D) 2/3	E) 13/18

Solution: 1st roll = any number = 6/6   2nd roll = not a match to the first = 5/6   3rd roll = not a match to the 1st or 2nd = 4/6   4th roll = not a match to the 1st or 2nd or 3rd = 3/6   (6/6)(5/6)(4/6)(3/6) =   (1)(5/6)(2/3)(1/2) =   10/36   10/36 is the probability of rolling 0 matching numbers, so...   1 - 10/36 = 26/36 = the probability of rolling at least one matching pair of numbers   26/36 = 13/18   Answer:13/18
Answer: E
The average age 10 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?	Pick:	A) 14 years	B) 17 years	C) 20 years	D) 12 years	E) 11 years

Solution: 10 * 2= 
10 * 2 = 20
20   Answer:20 years
Answer: C
The difference of a larger number and a smaller number is 6. The sum of the larger number and twice the smaller is 15. What is the larger number?	Choices: A) 7 B) 8 C) 9 D) 10 E) 11

Solution: Let x be the larger number and y be the smaller number.   x - y = 6   x + 2(y) = 15   Solve by substitution: y = x - 6   x + 2(x-6)=15   x + 2x -12 = 15   3x = 27   x=9   The larger number is 9, so answer 9 is correct.
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) 3/9	B) 3/2	C) 3/6	D) 3/2	E) 3/9

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 average of five no.s is 8.in this how much maximum no. can be negative.  Options
A) 4
B) 3
C) 2
D) 1
E) 0

Solution: sum of five no. =8*5= 
8*5 = 40
40   it is very much possible that addition of four no. can be -a,in which all four are negative and fifth no. is a+40.   answer 4
Answer: A
All of the students of Music High School are in the band, the orchestra, or both. 40 percent of the students are in only one group. There are 100 students in the band. If 20 percent of the students are in the band only, how many students are in the orchestra only? Pick: A) 30 B) 25 C) 40 D) 55 E) 35

Solution: % of students in one group only = 40%   % of students in both groups = 100 - 40= 
100 - 40 = 60
60%   % of students in the band only= 20%   Number of students who are in band = 100   60% + 20% = 80% 60  + 20= 
60  + 20 = 80
80%= 100 Students   Finding total students:   x = (100 x 100)/80   x = 125   Students in orchestra only = 125 - 100= 
125 - 100 = 25
25   Answer:25
Answer: B