MU-NLPC/Calc-aqua_rat huggingface dataset:
At what time between 4 and 5 o'clock will the hands of a clock be at right angle?
Pick one:  A) 30/11 min. past 4.  B) 30/11 min. past 5.  C) 40/11 min. past 4.  D) 25/11 min. past 4.  E) 37/11 min. past 4.

Solution: Sol: At 4 o'clock, the minute hand will be 20 min. spaces behind the hour hand, Now, when the two hands are at right angles, they are 15 min. spaces apart. So, they are at right angles in following two cases.   Case I. When minute hand is 15 min. spaces behind the hour hand:   In this case min. hand will have to gain (20 - 15)= 
(20 - 15) = 5
5 minute spaces. 55 min. spaces are gained by it in 60 min.   5 min spaces will be gained by it in 60*5/55 min=60/11min.   :. They are at right angles at 60/11min. past 4.   Case II. When the minute hand is 15 min. spaces ahead of the hour hand:   To be in this position, the minute hand will have to gain   (20 + 15)= 
  (20 + 15) = 35
35 minute spa' 55 min. spaces are gained in 60 min.   35 min spaces are gained in (60 x 35)/55 min=40/11   :. They are at right angles at 40/11 min. past 4.   Answer is 40/11 min. past 4..
Answer: C
An industrial loom weaves 1.14 meters of cloth every second. Approximately, how much time will it take to weave 52 meters of cloth ?  Select the correct option
A) 29.32 sec B) 42.51 sec C) 39.25 sec D) 45.61 sec E) None of these

Solution: Explanation:   Given loom weaves 1.14 mts of cloth in one second then 52 mts of cloth can be weaved by loom in,   1.14 ----- 1   52.0 ------?   => 52/1.14 = 45.61 sec   Answer IS 45.61 sec
Answer: D
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 10 people read all three newspapers. Find the minimum number of people who read both A and B but not C.	Choose the correct choice from the following answers
A) A)1	B) B)2	C) C)3	D) D)0	E) E)5

Solution: I wish I could draw a diagram to show you but by giving you number A and B, it might help a little.   A and B and C is 10 - that means A and B is at least 10. This seems trivial given the value intervals of A and B but definitely helps to think through how to minimize A and B but not C   A and B but not C = |A|-|B| - 10   So i would pick A=50 and B =50 to minimize the value to a 0. (ANS 0)
Answer: D
A dog takes 5 leaps for every 8 leaps of a hare. If one leap of the dog is equal to 4 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Choose the correct choice from the following answers
A) 5:8 B) 5:3 C) 5:2 D) 5:9 E) 2:5

Solution: Explanation:   Dog : Hare = (5*4) leaps of hare :8 leaps of hare = 20 : 8--> 10:4-->5:2   Answer: 5:2
Answer: C
My cat keeps to himself most of the time. I only heard him meow, hiss, and purr on one day
out of the last 23 days. But I did hear him make at least one of these sounds each day. I heard
him hiss on 6 days, purr on 12 days, and meow on 15 days. On 2 days, I heard him meow and
hiss but not purr, and on 2 days, I heard him purr and hiss but not meow. On how many days
did I hear him meow and purr but not hiss?  Pick: A) 1 B) 2 C) 3 D) 4 E) 5

Solution: Let M denote the days on which the cat meowed, H the days on which he hissed,   and P the days on which he purred. Given the data, the following Venn diagram represents   the situation, where the expressions inside the circles are the cardinalities of disjoint sections:   We are looking for x. The labeled sections of the Venn diagram are disjoint sets, so they   should add to 23. That is,   23 = 1 + 1 + 2 + 2 + x + (9 􀀀 x) + (12 􀀀 x) = 27 􀀀 x:   Therefore,x = 4.   or   The inclusion-exclusion principle gives   23 = jM [ H [ Pj = jMj + jHj + jPj 􀀀 jM \ Hj 􀀀 jH \ Pj 􀀀 jM \ Pj + jM \ H \ Pj   = 15 + 6 + 12 􀀀 (2 + 1) 􀀀 (2 + 1) 􀀀 (x + 1) + 1:   So x = 4.   correct answer 4
Answer: D
In how many ways can the letters of the word RECPECT be arranged?	Choose one.
A) 1206  B) 1348  C) 2520  D) 3000  E) 3478

Solution: RECPECT has 7 words, but E is repeated two times. Thus ways = 7! / 2! = 2520 ways   2520
Answer: C
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test? Choose the correct choice from the following answers:	A) 136	B) 128	C) 164	D) 214	E) 224

Solution: Let the maximum mark in each test be M.   The candidate failed by 36 marks in the second test.   pass mark in the second test = 216 + 36= 
216 + 36 = 252
252   45/100 M= 252   Pass mark in the first test = 40/100 M = 40/45 * 252= 
40/45 * 252 = 224
224.   ANSW224R:224
Answer: E
A sum fetched a total simple interest of Rs. 144 at the rate of 15 p.c.p.a. in 1 year 6 months. What is the sum?  Select.
A) 490 B) 850 C) 580 D) 640 E) 760

Solution: Sol.   Principal = Rs. [100 * 144 / 15 * (18/12)] = Rs. [14400 / 22.5] = Rs. 640.   Answer 640
Answer: D
Paige had a nature collection. She had 25 acorns, 16 dried seed pods, and 8 feathers. She
divided the acorns into 5 equal groups, the seed pods into 4 equal groups and the feathers into 2
equal groups. She gave her mother one group of each kind. How many separate items did her
mother get?	Choose the correct option.
A) 23 items	B) 33 items	C) 13 items	D) 3 items	E) 43 items

Solution: 25 ÷ 5 = 5 acorns in a group   16 ÷ 4 = 4 seed pods in a group   8 ÷ 2 = 4 feathers in a group     5 + 4 + 4= 
  5 + 4 + 4 = 13
13 items given to Mom   correct answer 13 items
Answer: C
Find 40 % of 440
Choose the correct choice
A) 96	B) 94	C) 86	D) 176	E) 110

Solution: We know that R % of m is equal to R/100 × m.   So, we have 40 % of 440   40/100 × 440   = 176   Answer:176
Answer: D
The value of (10^8-10^2)/(10^4-10^3) is closest to which of the following? Choose one
A) 1	B) 10	C) 10^2	D) 10^3	E) 10^4

Solution: Because the question asks for what value isclosestthe question invites approximation.   Let's look at the numerator:   10^8 - 10^2   10^8 is HUGE compared to 10^2.   So 10^8 - 10^2 is very close to 10^8 itself. (Just as 100 - 0.0001 is very close to 100 itself).   Likewise, 10^4 is HUGE compared to 10^3.   So 10^4 - 10^3 is very close to 10^4.   So we have:   10^8/10^4   or 10^(8-4) = 10^4.   Choose 10^4.
Answer: E
John started driving on a highway at a constant speed of R miles per hour at 13:00. Then, 2 hours later, Tom started driving on the same highway at a constant speed of 5R/3 miles per hour at 15:00. If both drivers maintained their speed, how many miles had John driven on the highway when Tom caught up with John?  Choose one:
A) 3R
B) 5R
C) 8R
D) 9R
E) 10R

Solution: In 2 hours, John drove 2R miles.   Tom can catch John at a rate of 5R/3 - R = 2R/3 miles per hour.   The time it takes Tom to catch John is 2R / (2R/3) = 3 hours.   In 3 hours, John can drive another 3R miles for a total of 5R miles.   The answer is 5R.2  / (2 /3)= 
2  / (2 /3) = 3
3 hours.   In 3 hours, John can drive another 3R miles for a total of 5R miles.   The answer is 5R.
Answer: B
Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship ?
? : 4623 :: 9 : 647
Options:
A) ?= 17	B) 18	C) 13	D) 10	E) 20

Solution: ?= 17   17   The relationship holds for below formula :   pow(x,3) - pow(x,2) - 1   => 9*9*9 - 9*9 - 1   => 729 - 81 - 1= 
729 - 81 - 1 = 647
> 647   Similarly,   17*17*17 - 17*17 - 1=> 4913 - 289 - 1= 
4913 - 289 - 1 = 4_623
> 4623
Answer: A
Jonathan’s grandparents lend $1,000 to Jonathan at a simple annual interest rate of 10%. He pays them back 5 years later. How much do they receive? Pick
A) 1,000∗0.1^5 B) 1,000∗0.5 C) 1,000∗1.5 D) 1,000∗1.1^5 E) (1,000∗0.1)^5

Solution: 1>Simple Interest Vs Compound interest (there are answers options with compounded interest)   S.I = P x R x T formula in school the question is asking for Amount in 5 years. so (c) 1,000∗ 1.5   Ans : 1,000∗1.5
Answer: C
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 4 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?	Choose the correct choice from the following answers: A) 60 gallons B) 100 gallons C) 120 gallons D) 160 gallons E) 130 gallons

Solution: Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40   Volume of 1/40 part = 4 gallons\   Volume of whole = 4 * 40= 
4 * 40 = 160
160 gallons.   ANSWER:160 gallons
Answer: D
The sum of the present ages of a father and his son is 62 years. Six years ago, father's age was four times the age of the son. After 6 years, son's age will be:
Select the correct option:  A) 12 years  B) 14 years  C) 18 years  D) 20 years  E) 22 years

Solution: Let the present ages of son and father be x and (62 - x) years respectively.   Then, (62 - x) - 6 = 4(x - 6)   56 - x = 4x - 24   x = 16   The son's age after 6 years will be 22.   The answer is 22 years.
Answer: E
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum?  Select:
A) 2099
B) 6086
C) 2976
D) 2000
E) 3862

Solution: P(11/10)4 - P(6/5)2   = 482   P = 2000   Answer:2000
Answer: D
Sonika deposited Rs.6000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much? Choose the correct choice from the following answers
A) 9680	B) 2277	C) 2999	D) 9560	E) 1212

Solution: (6000*3*2)/100= 
(6000*3*2)/100 = 360
360   9200   --------   9560   Answer:9560
Answer: D
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much
Look at this series: 1.5, 2.0, 2.5, 3.0, ... What number should come next?
Answers:
A) 4.7 B) 3.5 C) 4.9 D) 5.0 E) 4.4

Solution: 3.5   In this simple addition series, each number increases by 0.5   Answer : 3.5
Answer: B
The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical R present. If the concentration of chemical R is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choose the most appropriate option.
A) 100% decrease  B) 50% decrease  C) 40% decrease  D) 40% increase  E) 50% increase

Solution: Let A and R be the concentratrations of the individual chemicals.   Rate of chemical reaction = A^2/R   Since new R is increased by 100%   Rate = A^2/(2R)   For the rate to be constant, new value of A should be square root(2)   So new value of A = 1.414A   That means A is increased by 41.4%   Nearest solution is 40% increase
Answer: D
Applying VBODMAS rule	Choose the correct option:
A) 31/120  B) 31/129  C) 31/1276  D) 31/122  E) 31/111

Solution: 31/120nswer:31/120
Answer: A
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Select the correct option:
A) 17:5	B) 17:0	C) 17:8	D) 17:1	E) 17:3

Solution: P:Q = 85000 : 15000   = 17:3.   Answer: 17:3
Answer: E
If the equation x^2−6x=-2k has at least one solution, which of the following must be true?
Choose the correct choice from the following answers:
A) k > 9 B) k < −9 C) k = 9 D) k ≤ 9/2 E) k ≥ −9

Solution: x^2−6x=-2k   => x^2−6x + 2k = 0   For a quadratic equation to have at least one solution, its discriminant (b^2-4ac) should be non-negative.   b^2-4ac ≥0   => 36 - 4*1*(2k) ≥0   => 36 - 8k ≥0   => k ≤ 9/2   Answer k ≤ 9/2
Answer: D
A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $2200, what will be C's share of the earnings?	Choose the correct choice from the following.
A) $488.9 B) $480.9 C) $588.9 D) $680.9 E) $788.9

Solution: The dollars earned will be in the same ratio as amount of work done   1 day work of C is 1/12 (or 2/24)   1 day work of the combined workforce is (1/6 + 1/8 + 1/12) = 9/24   C's contribution is 2/9 of the combined effort   Translating effort to $ = 2/9 * 2200 = $488.9   hence:$488.9
Answer: A
When positive integer G is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when G is divided by B?  Choose the correct option.
A) 13 B) 14 C) 15 D) 16 E) 17

Solution: the remainder will be obtained from the decimal part when G is divided by B i.e. 0.35   0.35 = 35/100 = 7/20 so possible remainders are 7,14,21,28. Only option 14-14 satisfies this   PS: for 14-14 G=174 and 14=40
Answer: B
A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics? Choices:
A) 27
B) 26
C) 218
D) 80
E) 18

Solution: Given M + P + C = 80 * 3= 
80 * 3 = 240
240 --- (1)   M + P= 90 * 2= 
90 * 2 = 180
180 --- (2)   P + C= 70 * 2= 
70 * 2 = 140
140 --- (3)   Where M, P and C are marks obtained by the student in Mathematics, Physics and Chemistry.   P= (2) + (3) - (1) = 180 + 140 - 240= 
180 + 140 - 240 = 80
80   Answer: 80
Answer: D
P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 15 days to complete the same work. then Q alone can do it in
Choose the correct choice from the following answers
A) 20
B) 22
C) 25
D) 27
E) 60

Solution: Work done by P and Q in 1 day = 1/10   Work done by R in 1 day = 1/15   Work done by P, Q and R in 1 day = 1/10 + 1/15= 1/6   But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as Work done by P in 1 day Ã— 2 = 1/6   => Work done by P in 1 day = 1/12   => Work done by Q and R in 1 day = 1/12   Hence work done by Q in 1 day = 1/12 â€“ 1/15 = 1/60   So Q alone can do the work in 60 days   Answer is 60.
Answer: E
Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 30% on hers. If Mindy earned 3 times as much as Mork did, what was their combined tax rate?
Choose the correct answer
A) 32.5%	B) 34%	C) 35%	D) 36%	E) 37.5%

Solution: Say Morks income is - 100   So tax paid will be 40   Say Mindy's income is  3*100= 
 3*100 = 300
300   So tax paid is 30% * 300= 90   Total tax paid = 40+90= 
40+90 = 130
130.   Combined tax % will be 130/100+300= 32.5%   32.5%NSWER:32.5%
Answer: A
The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is
Options:  A) 1.2 km  B) 1.8 km  C) 2.4 km  D) 3.6 km  E) None

Solution: Solution   Speed downstreams	=(15 + 3)= 
(15 + 3) = 18
18 kmph.   Distance travelled	(18 x 12/60)km= 3.6km.   Answer 3.6 km
Answer: D
In how many ways can 10 books be arranged on a shelf such that a particular pair of books should always be together?	Choose the most appropriate option:
A) 9! x 2!	B) 5!	C) 3!	D) 9!	E) 2!

Solution: We have a total of 10 books.   Given that a particular pair of books should always be together. Hence, just tie these two books together and consider as a single book.   Hence we can take total number of books as 9. These 9 books can be arranged in 9P9 =9!=9! ways.   We had tied two books together. These books can be arranged among themselves in 2P2 =2!=2! ways.   Hence, required number of ways   =9!×2!   9! x 2!ns: 9! x 2!
Answer: A
In a BCCI meeting there are ten people. All shake hands with each other once. How many handshakes will be there altogether?  Choose the correct choice from the following:
A) 28
B) 9
C) H
D) H19
E) 181

Solution: Answer:9
Answer: B
16 is what % of 90?  Choices:  A) 16  B) 17.78  C) 17  D) 18.5  E) 18.23

Solution: We assume that 90 is 100%   assume 'x' is value we looking for   here,   90 = 100% and   x% = 16   therefore,   100/x = 90/16   100/x = 5.625   x = 17.78   17.78
Answer: B
The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?  Select:
A) 22 kmph B) 40 kmph C) 78 kmph D) 50 kmph E) 23 kmph

Solution: Speed downstream = 70 + 20= 
70 + 20 = 90
90 kmph   Speed upstream= 70 - 20= 
70 - 20 = 50
50 kmph   Answer:50 kmph
Answer: D
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation? Choose the correct option.
A) 20
B) 28
C) 29
D) 49
E) 48

Solution: There are three ladies and five gentlemen and a committee of 5 members to be formed.   Number of ways such that two ladies are always included in the committee =   6C3= (6 * 5 * 4)/6= 
(6 * 5 * 4)/6 = 20
20.   20nswer:20
Answer: A
The average age of a class of 24 students is 23 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher?
Choose the most appropriate option.
A) 40
B) 41
C) 48
D) 52
E) 43

Solution: Total age of all students =24Ã—23   Total age of all students + Age of the teacher =25Ã—24   Age of the teacher   =25Ã—24âˆ’24Ã—23=24(25âˆ’23)=24Ã—2=48   Answer is 48.
Answer: C
Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 2 ------------------------------------------ 5,000
S2 ---------------------- 5 ------------------- ---------------------- 12,000
S3 ---------------------- 5 ------------------------------------------ 15,000
S4 ---------------------- 4 ------------------------------------------ 16,000
A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?	Select:	A) 14	B) 20	C) 22	D) 24	E) 25

Solution: for a total of 51000 chips (adding S1,S2,S3,S4) total number of defective chips is 17 ((adding defective chips of S1,S2,S3,S4) so ratio is 16/48000 or 1 every 3000 chips.   Keeping this ratio constant for 60000 chips number of defective chips will be   (1/3000) * 60000= 
  (1/3000) * 60000 = 20
20   20
Answer: B
Steve traveled the first 5 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
Choose the correct option
A) 53.33 mph
B) 88 mph
C) 60 mph
D) 64 mph
E) 66.67 mph

Solution: Average Speed = Total distance/ Total time = (40 * 5 + 80 * 3)/(5 + 3) = 440/5= 
440/5 = 88
88   Answer: 88 mph
Answer: B
A wheel that has 24 cogs is meshed with a larger wheel of 48 cogs. When the smaller wheel has made 12 revolutions, then the number of revolutions mad by the larger wheel is: Choose the correct answer:
A) 6
B) 5
C) 3
D) 7
E) 4

Solution: A   6   Let the required number of revolutions made by larger wheel be x.   Then, More cogs, Less revolutions (Indirect Proportion)   48 : 24 :: 12 : x <-> 48 x x = 12 x 24   x = (12x 24)/48   x = 6
Answer: A
2+4
Choose the correct option.
A) 8 B) 13 C) 28 D) 6 E) 2

Solution: 6
Answer: D
In a village of 100 households, 75 have at least one DVD player, 80 have at least one cell phone, and 55 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y Answers:
A) 55 B) 45 C) 65 D) 35 E) 25

Solution: x= (75+55+80-100-z)/2 for z=0 ->55   y=the same for z=100 ->10   Therefore x-y=45   ANSWER:45
Answer: B
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 78000, then the share of B is?	Choose the correct choice from the following options.
A) A)34500	B) B)36099	C) C)36000	D) D)38007	E) E)42000

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 78000   Share of B = 6/13 (78000)   = Rs. 36000   Answer:36000
Answer: C
A man can row 36 kmph in still water. It takes him thrice as long to row up as to row down the river. Find the rate of the stream? Choose the most appropriate option:
A) 14 kmph B) 12 kmph C) 18 kmph D) 1 kmph E) None of these

Solution: Explanation:   Let man's rate upsteam be X kmph   Then his rate of downstream = 3X kmph   Rate still water = 1/2 (3X + X) = 2X   2X = 36   X = 18   Rate of upstream = 18   Rate of downstream = 54   Rate of stream 1/2 ( 54 - 18) = 18 kmph   Answer: Option 18 kmph
Answer: C
Sides of a rectangular park are in the ratio 3: 2 and its area is 4704 sq m, the cost of fencing it at 50 ps per meter is?
Select the correct option:
A) 287 B) 1287 C) 140 D) 988 E) 271

Solution: 3x * 2x = 4704 => x = 28   2(84 + 56) = 280 m   280 * 1/2 = Rs.140   Answer: 140
Answer: C
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 16 years? Choices:
A) 6.25% B) 1.25% C) 4% D) 5% E) 3.25%

Solution: 150 = (750*16*R)/100   R = 1.25%   Answer: 1.25%
Answer: B
A group of 8 students bought movie tickets in one row next to each other. If Bob and Lisa are in this group, what is the probability that Bob and Lisa will each sit next to only one of the seven other students from the group?	Choose the most appropriate option:
A) 5.67%	B) 3.57%	C) 15.17%	D) 2.07%	E) 2.57%

Solution: The question basically asks about the probability that Bob and Lisa sit at the ends.   The total # of sitting arrangements is 8!.   Desired arrangement is either BUVWXYZL or LUVWXYZB. Now, UVWXYZ can be arranged in 6! ways, therefore total # of favorable arrangements is 2*6!.   P=(favorable)/(total)=(2*6!)/8!=1/28.   Answer: 3.57%.
Answer: B
Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 1: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?  Choose the correct choice from the following choices:	A) 3: 10 p.m.	B) 5: 00 p.m.	C) 5: 20 p.m.	D) 5: 35 p.m.	E) 6: 00 p.m.

Solution: the distance travelled by the train A in first 20 minutes will be 10.   The distance which will be remaining is 80.   Now both trains are running in opposite direction.Their speed will be added so 40.   Time at which they will meet =80/40= 
80/40 = 2
2   time of train B will be 1:20 +2=3:20   Hence answer is 3: 10 p.m..Hope i am correct
Answer: A
Hockey Stick and ball cost $50. If the Stick cost $49 more than the ball.
what is the cost of each ?	Pick one:
A) Hockey Stick $48.50 & ball $1.50
B) Hockey Stick $49.00 & ball $1.00
C) Hockey Stick $48.00 & ball $2.00
D) Hockey Stick $49.50 & ball $0.50
E) Hockey Stick $41.50 & ball $8.50

Solution: Hockey Stick $49.50 & ball $0.50   Hockey Stick $49.50 & ball $0.50
Answer: D
A single discount equivalent to the discount series of 20%, 12% and 5% is?	Choose the correct option
A) 33.12	B) 31.1	C) 31.6	D) 31.2	E) 31.9

Solution: Explanation:   100*(80/100)*(88/100)*(95/100)= 
100*(80/100)*(88/100)*(95/100) = 1_672/25 = around 66.88
66.88   100 - 66.88= 
100 - 66.88 = 33.12
33.12   33.12nswer: 33.12
Answer: A
The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 684. What is the banker's discount?	Choose the correct choice from the following choices: A) 1240 B) 1120 C) 1190 D) 1634 E) None of these

Solution: Explanation :   TD = (BG ×100)/TR = (684×100)/(6×12) = Rs. 950   BG = B1634 – T1634   => 684= B1634 - 950   => B1634 = 684 + 950= 
684 + 950 = 1_634
1634 Answer : Option 1634
Answer: D