MU-NLPC/Calc-aqua_rat huggingface dataset:
Martha takes a road trip from point A to point B. She drives x percent of the distance at 50 miles per hour and the remainder at 40 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
Choose the correct choice from the following answers.
A) 110	B) 20,000	C) 1,100	D) 3,000	E) 30,000

Solution: total distance = d   total time taken = x/(100*50) + (100-x)/(100*40)   speed = distance / time   gives numerator = 20000   Answer : 20,000
Answer: B
An amount of Rs.10,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?  Choose the correct choice from the following answers.
A) 2500  B) 2697  C) 2697  D) 5000  E) 6971

Solution: Explanation:   We have, P = 2Q & S = 4R   Further Q = R & P + Q + R + S = 10,000   Thus we get, 2Q + Q + Q + 4Q = 10,000   8Q = 10,000 or Q = Rs. 1250   Thus, R = Rs. 1250, P = 2500 & S = Rs. 5000   Hence, the required difference = (S – P) = (5000 – 2500) = Rs. 2500   2500NSWER:2500
Answer: A
What is the speed of the stream if a canoe rows upstream at 4km/hr and downstream at 12km/hr  Choose the most appropriate option:
A) 1 kmph B) 4 kmph C) 3 kmph D) 2 kmph E) 1.9 kmph

Solution: Sol.   Speed of stream = 1/2(12 - 4) kmph = 4 kmph.   Answer 4 kmph
Answer: B
A cylinder is inserted in a sphere d/h = 2/3. Find the surface area of the cylinder ?  Choose the correct choice from the following answers:
A) 23.12
B) 24.12
C) 25.12
D) 26.12
E) 27.12

Solution: take r=1, h=3   =2*3.14*r*r+2*3.14*r*h   =2*3.14*r(r+h)   =2*3.14*1(1+3)   =2*3.14(4)   =25.12   ANSWER:25.12
Answer: C
Jerry and Beth each drove from Smallville to Crown City by different routes. Jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Jerry to complete the trip. How many miles per hour was Beth's average speed on this trip?
Choose the correct option
A) 24  B) 30  C) 48  D) 54  E) 75

Solution: Speed = Distance/Time   Distance for Jerry = Speed * Time = 40 * 1/2= 
40 * 1/2 = 20
20 miles   Distance for 30eth= Distance for Jerry +5 = 20+5= 
20+5 = 25
25 miles   Time taken by 30eth= Time taken by Jerry + (1/3 hour) = 1/2+1/3 = 5/6   Speed of 30eth = D/T = 25/(5/6) = 25*6/5= 
25*6/5 = 30
30 miles per hour   Hence, 30 is the answer.
Answer: B
The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly five elements each?
Choices.
A) 120	B) 126	C) 130	D) 140	E) 144

Solution: nC2 = 36   => n*(n-1)/2 = 36 by middle term factor and n cannot be -ve   => n = 9   nC3 = 9C5 = 9!/5!(9-5)!= 9*8*7*6*5!/5!*4*3*2*1= 126   So, Answer is 126   .
Answer: B
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 15) both lie on the line defined by the equation x = (y/5) - (2/5), what is the value of p?  Choose the correct choice from the following answers.
A) 1  B) 2  C) 3  D) 4  E) 5

Solution: x = (y/5) - (2/5), and so y = 5x + 2. The slope is 5.   (n+15-n) / (m+p-m) = 5   p = 3   The answer is 3.
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 240 marks in the second test and failed by 57 marks in that test. Find the pass mark in the first test? Choose the correct choice:
A) 768
B) 243
C) 246
D) 264
E) 224

Solution: Let the maximum mark in each test be M.   The candidate failed by 57 marks in the second test.   pass mark in the second test = 240 + 57= 
240 + 57 = 297
297   45/100 M= 297   Pass mark in the first test = 40/100 M = 40/45 * 297= 
40/45 * 297 = 264
264.   Answer:264
Answer: D
A scuba diver descends at a rate of 32 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 6400feet below the sea level..how long will he take to reach the ship?  Choose one.
A) 200 minutes B) 240 minutes C) 220 minutes D) 210 minutes E) 77 minutes

Solution: Time taken to reach = 6400/32= 
6400/32 = 200
200 minutes   200 minutesNSWER:200 minutes
Answer: A
A new home buyer pays 4% annual interest on her first mortgage and 9% annual interest on her second mortgage. If she borrowed a total of $320,000, 80% of which was in the first mortgage, what is her approximate monthly interest payment? Answers.
A) $1,333	B) $1,733	C) $3,466	D) $13,333	E) $20,796

Solution: Making the numbers a little easy looking:   Monthly payment = 320,000*(80/100*4/100+20/100*9/100)/12   = 3200/12*(3.2+1.8)   = 16000/12=1333   $1,333NSWER:$1,333
Answer: A
Find the next number in this Sequence and solve this thinking riddle.
6 14 36 98 ?
Choices
A) 120
B) 200
C) 398
D) 276
E) 490

Solution: 276   276   6 = 11 + 21 + 31   14 = 12 + 22 + 32   36 = 13 + 23 + 33   98 = 14 + 24 + 34   276 = 15 + 25 + 35
Answer: D
A and B can complete a work in 15days and 10day. They started doing the work together but after 2days B had to leave and A alone completed the remaining work. The whole work was completed in?	Pick
A) 10days B) 12days C) 15days D) 8days E) 16days

Solution: A+12days 1day work = 1/15 + 1/10 = 1/6   Work done by A and 12days in 2days = 1/6 * 2 = 1/3   Remaining work = 1-1/3 = 2/3   Now 1/15 work is done by A in 1day   2/3 work will be done by A in 15*2/3= 
15*2/3 = 10
10days   Total time taken= 10+2= 
10+2 = 12
12days   Answer is 12days
Answer: B
In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 320 points, how many points is the third question worth? Pick one.
A) 39 B) 24 C) 22 D) 20 E) 18

Solution: x   x+4   x+8   x+12   x+16   x+20   x+24   x+28   x+32   x+36   10x+180=320   10x=140   x=14   3rd question = x+8 = 14+8= 
14+8 = 22
22   Answer 22
Answer: C
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?  Choose one
A) 23.56	B) 23.59	C) 23.55	D) 23.53	E) 23.57

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm   i.e. 4a = 60   A = 15   Diameter of the semicircle = 15 cm   Circimference of the semicircle   = 1/2(∏)(15)   = 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places   Answer:23.57
Answer: E
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate? Choose the correct choice from the following answers.
A) Rs.256.20	B) Rs.256.08	C) Rs.256.02	D) Rs.256.34	E) Rs.256.25

Solution: Let the principal be Rs.P   S.I at 5% p.a in 8 years on Rs.P = Rs.500   (P)(8)(5)/100 = 500   P = 1250   C.I on Rs.2P i.e., Rs.2500 at 5% p.a in two years   =2500{ [1 + 5/100]2 - 1} = 2500{ 212 - 202 /202}   = 2500/400(441 - 400)   = 25/4(41) = 1025/4 = Rs.256.25   Answer: Rs.256.25
Answer: E
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:	Options
A) 16 hours  B) 18 hours  C) 20 hours  D) 24 hours  E) 26 hours

Solution: speed of upstream=9-1.5= 
9-1.5 = 7.5
7.5kmph   speed of down stream=9+1.5= 
9+1.5 = 10.5
10.5kmph   total time=(105/7.5)+(105/10.5)= 
(105/7.5)+(105/10.5) = 24
24hrs   ANSWER:24 hours
Answer: D
A lamp is put on one corner of a square plot of side 50m. It's light reaches 21m. Find the area of that plot that is lit by that lamp? Choose the most appropriate option:
A) 248	B) 312.5	C) 346.5	D) 392.5	E) 424

Solution: Area covered by lamp = Pi*r^2/4 ( here we divide by 4 because lamp is put in the corner of the plot and only 1/4 part lit is of the plot)   where r= 21 m = length of part lit   So area = (22/7)*21*21/4= 
(22/7)*21*21/4 = 693/2 = around 346.5
346.5 sq m   answer :346.5
Answer: C
4 professors and 6 students are being considered for membership on a supervisory committee which must consist of 3 people. If the committee has to include at least 3 professor, how many ways can this committee be formed?	Choose the correct choice
A) 36	B) 60	C) 72	D) 80	E) 100

Solution: you count up combinations twice.   4*9*8... and let me name 6 with students A,B,C,..,F   after choosing a professor, when you choose Student A and B, you can choose A first, then B. Or B first, then A. Both combination are same.   I don't think that's the only mistake.   36 is a factor of = 2^2*3^2   72 is a factor of = 2^3*3^2.   These are very different numbers and you cannot divide 72 with something to get to 36. ans 36
Answer: A
A travel agent offers a vacation plan which costs 'a' dollars for the first day, and a/5 for each additional day. How much does a vacation of b days cost, where b > 1.
Select
A) (ab+4a)/2
B) (ab+8a)/5
C) (ab+4a)/5
D) (ab+4a)/3
E) (ab+a)/5

Solution: (ab+4a)/5ost = a + (b-1)*a/5 = (5a + (b - 1)*a)/5 = (ab+4a)/5   Answer is (ab+4a)/5
Answer: C
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? Pick one:
A) 3.6
B) 7.2
C) 8.4
D) 10
E) 8

Solution: Speed = 600/(5 x 60)	m/sec.   = 2 m/sec.   Converting m/sec to km/hr   = (2 x	(18/5)) km/hr   = 7.2 km/hr.   Answer : 7.2
Answer: B
In one can of mixed nuts, 50% 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 choices:
A) 46 2/3%  B) 20%  C) 25%  D) 33 1/3%  E) 35%

Solution: Can 1: size 1; 50% nuts   Can 2: size 0.5 and 40% nuts   (1x0.5+0.5x0.4)/1.5=46 2/3   46 2/3%
Answer: A
A set of 12 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?	Choose the correct option:
A) 32 B) 37 C) 40 D) 43 E) 50

Solution: The correct answer is D.   A set of 15 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?   Given 15 different integers, lets say   n1, n2, n3, n4, n5, n6, n7, n8, n9, n10, n11, n12, n13, n14, n15   Also given median is 25 i.e. n8 = 22   n1, n2, n3, n4, n5, n6, n7, 25, n9, n10, n11, n12, n13, n14, n15   As each integer is different we need to find the maximum values for all those numbers before the median.   the maximum value n7 can have is one less then the median i.e. 24, similarly n6 will be one less than 24 i.e. 23 ... using this process the values for all number before the median would be..   18, 19, 20, 21, 22, 23, 24, 25, n9, n10, n11, n12, n13, n14, n15   Also given the range is 25 i.e. n15 - n1 (18) = 25   The maximum value n15 can have is 22 + n1 (18) = 40   40
Answer: C
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Answers.
A) 230 B) 225 C) 245 D) 238 E) 236

Solution: Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (150 + X)/30 = 25/2 ==> 2(150 + X) = 750 ==> X = 225 m.   Answer: Option 225
Answer: B
In a race where 15 cars are running, the chance that car X will win is 1/4, that Y will win is 1/8 and that Z will win is 1/12. Assuming that a dead heat is impossible, find the chance that one of them will win.  Choose the correct choice.
A) 1/140  B) 1/180  C) 11/24  D) 10/15  E) 57/120

Solution: Required probability = P(X) + P(Y) + P(Z) (all the events are mutually exclusive).   = 1/4 + 1/8 + 1/12   = 11/24   ANSWER:11/24
Answer: C
Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are:	Choose the correct choice from the following options.
A) 7, 6  B) 5, 1  C) 6, 3  D) 8, 7  E) None of these

Solution: Explanation :   Let A and B be such sets, i.e., n (A) = m, n (B) = n   So, n (P(A)) = 2m and n (P(B)) = 2n   Thus n (P(A)) – n (P(B)) = 56, i.e. 2m – 2n = 56   ⇒ 2n (2m-n - 1) = 23 x 7   ⇒ n = 3 , 2m-n – 1 = 7   ⇒ m = 6   Answer : 6, 3
Answer: C
Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1300. What is the gain or loss in percentage?	Options.
A) 10%
B) 21%
C) 25%
D) 23%
E) None of these

Solution: Explanation:   As selling price is Rs.1300 for 10 bags, each bag is sold at Rs.130.   Hence, the profit is Rs.100 after selling 10 bags plus the selling price of 1 bag = 100 + 130 = Rs.230.   %profit = 230/1000 *100= 
230/1000 *100 = 23
23%   ANSWER 23%
Answer: D
A password of a computer used six digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?	Pick one.
A) 1/64 B) 1/16 C) 1/8 D) 2/5 E) 1/2

Solution: We have six digits can be used for password -0,2,3,5,7.   1/64ssuming that the numbers can be repeated any number of times in the password, probability of selecting any one of them is 5/10 (out of 10 digits from 0-9)   So, 5/10 * 5/10 * 5/10 * 5/10 * 5/10 * 5/10=1/64 (1/64)
Answer: A
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?	Pick:
A) 79 kmph B) 85 kmph C) 34 kmph D) 23 kmph E) 14 kmph

Solution: S = (90 + 60)/2= 
(90 + 60)/2 = 75
75 kmph   Answer:85 kmph
Answer: B
Y and Z are in a relay race. Y runs the first leg of the course in 58 seconds. Z runs the second leg of the course in 26 seconds. What was the average time they took to run a leg of the course?	Pick one.
A) 39
B) 40
C) 41
D) 42
E) 43

Solution: (58 seconds +26 seconds)/2= 42 seconds   Correct option is: 42
Answer: D
Along a yard 441 metres long, 22 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Choices.
A) 18 B) 19 C) 20 D) 21 E) 12

Solution: Explanation:   22 trees have 21 gaps between them,   Required distance (441/21)= 
(441/21) = 21
21   Option 21
Answer: D
A military garrison in a wild frontier has 600 men who have provisions to last 25 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?
Options:
A) 13 1/3  B) 12 1/3  C) 38  D) 36  E) 12 3/4

Solution: Total provisions=600*25*7= 
600*25*7 = 105_000
105000   Provisions used for in 6 weeks=6*7*600= 
6*7*600 = 25_200
25200   remaining provisions=79800   remaining provisions need to be split between 900(600+300) people.   Number of provisions per person= 79800/900   we need to find the answer in terms of weeks=(79800/900)/7=38   Answer:38
Answer: C
An outlet pipe can empty 2/3 rd of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied?  Choose the correct choice from the following answers.
A) 1/3 B) 4/3 C) 4/2 D) 4/8 E) 4/1

Solution: 2/3 ---- 16   ? ----- 8 ==> 1/3   1/3nswer: 1/3
Answer: A
Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 1512x is the cube of a positive integer?  Choices:
A) 7
B) 14
C) 28
D) 35
E) 49

Solution: We want to know the smallest x that will make 1512x a CUBE of some number. Let's call that number y.   Let's first figure out what we're working with. The prime factorization of 450 can be visualized:   .........1512   ......../.......\   ......216......7   ...../.. \....   ...36.... 6...   .../. \..../.\..   ..6….6…2…3   ./.\ ../\   2..3 2…3   So, we have 2 * 2 * 2 * 3 * 3 *3 * 7 that can be multiplied together to get 1512. Now we need to figure out what we need to make 1512 * x into a cube of y (y^3=1512*x).   We have two 5s, two 3s, and one 2. To arrange these numbers in identical triples (2,3,7), we need at least one more 5, one 3, and two 2's. Each of these triples will give us the value of y (2*3*7=42), which, multiplied by itself three times, gives us 1512 * x.   Looking at the factors we need to complete the triples, we get   7 * 7= 
  7 * 7 = 49
49. We know this is the smallest number possible because prime factors by definition cannot be broken down any further.   Therefore, we can go with answer choice D.   If time permits, we can do a sanity check. We calculated that y should be 2 * 3 * 7, or 42. 42 * 42 * 42= 74088. Also, 1512 * 49 = 74088.   Answer: 49
Answer: E
Which one of the given numbers is divisible by 11? Options:  A) 4823718  B) 8423718  C) 8432718  D) 4831728  E) 4852718

Solution: Explanation:   4831728 = (4+3+7+8) – (8+1+2)= 
(8+1+2) = 11
11   So, the given number is divisible by 11   Answer:4831728
Answer: D
How much more would Rs.50000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Choose the correct choice:
A) 482	B) 1205	C) 992	D) 837	E) 923

Solution: 50000(11/10)4 - 50000(6/5)2 = 1205   Answer:1205
Answer: B
Three people are playing cards. What is the probability that a card drawn from a pack of 52 cards will be a diamond or a king?	Choose the correct option.
A) 2/9	B) 3/11	C) 4/13	D) 4/11	E) 5/12

Solution: Here, n(S) = 52   There are 13 cards of diamond (including one king) and there are 3 more kings.   Let E = event of getting a diamond or a king.   Then, n(E) = (13 + 3)= 
(13 + 3) = 16
16   P (E)= 16 / 52 = 4/13   4/13
Answer: C
On a certain plane, 2/5 of the passengers speak Farsi and 3/4 speak English. If all of the passengers on the plane speak at least one of these languages, what is the smallest number of passengers that could be on the plane?	Choose the correct answer:	A) 12	B) 15	C) 120	D) 224	E) 240

Solution: Assume the total members = x   Farsi = .4x   English= .75x   Farsi + English= 1.15x, but this is not possible hence 15 people speak both languages.   Only Farsi = .25x, Only English= .6x, both = .15x   Since these are all people, all of these should be whole numbers.   Checking the options:   A. 12. Only English= 12*0.6= 
12*0.6 = 7.2
7.2 We do not get the people as whole numbers. INCORRECT   B. 15. Only Farsi= 0.25*15 Again we do not get the people as whole numbers. INCORRECT   C. 120 Only Farsi = .25*120= 
.25*120 = 30
30, Only Hebrew= .6*120= 
.6*120 = 72
72, both= .15*120= 
.15*120 = 18
18. We have the people as whole numbers. CORRECT   D. 224   E. 240   Since we have to find the lowest number, no need to calculate for the rest of the options.   120orrect Option: 120
Answer: C
In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is?
Answers:
A) 39yr  B) 42yr  C) 45yr  D) 32yr  E) 50yr

Solution: Let B's present age = x years   Then 39yr's present age = x+9 years   x+9+10 = 2(x-10)   x + 19 = 2x - 20   x = 39years   39yrnswer is 39yr
Answer: A
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers? Options: A) 180 B) 288 C) 276 D) 288 E) 212

Solution: Let the five numbers be P, Q, R, S and T.   => P + Q + R + S + T = 655.   (P + Q)/2 = 85 and R = 125   P + Q = 170 and R = 125   P + Q + R = 295   S + T = 655 - (P + Q + R) = 360   Average of the last two numbers = (S + T)/2 = 180.   180nswer: 180
Answer: A
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 363 sq m, then what is the breadth of the rectangular plot?
Choose one:
A) 11
B) 17
C) 18
D) 101
E) 1322

Solution: Let the breadth of the plot be b m.   Length of the plot = 3 b m   (3b)(b) = 363   3b2 = 363   b2 = 121 = 11 (b > 0)   b = 11 m.   11nswer: 11
Answer: A
A clothing store prices jeans at 30% above the wholesale price of $50. They have a sale for 25% off all jeans. How much would a customer pay for 2 pairs of jeans during the sale?
Choose the most appropriate option.
A) $98.5  B) $97.25  C) $48.75  D) $97.50  E) $95

Solution: Wholesale cost of jeans = $50   Jeans were priced at 30% above $50 = $65   % discount given by sale = 25%   Customer paid = .75 * 65= 
.75 * 65 = 48.75
$48.75   Cost of 2 pairs of jeans= 48.75 * 2= 
48.75 * 2 = 97.5
$97.5   Answer $97.50
Answer: D
A, B and C enter into a partnership by investing $7000, $11000 and $18000 respectively. At the end of 8 months, B receives $2200 as his share. Find the share of A.	Pick:
A) $1200  B) $1300  C) $1400  D) $1500  E) $1600

Solution: The ratio of capital of A, B and $1400 = 7000 : 11000 : 18000 = 7 : 11 : 18   A's share = (7/11)*2200= 
(7/11)*2200 = 1_400
$1400   The answer is $1400.
Answer: C
How many halves are there in nine-fourth? Choose the correct choice from the following options
A) 8
B) 4.5
C) 3.2
D) 7
E) 3

Solution: divide 9/4 by 1/2   =9/4÷1/2   =9/4*2/1   =18/4   =4.5.   Answer is 4.5.
Answer: B
The sale price sarees listed for Rs.278 after successive discount is 18% and 19% is?	Choices: A) 321 B) 276 C) 342 D) 265 E) 198

Solution: 198xplanation:   278*(88/100)*(81/100) = 198   Answer: 198
Answer: E
The unit digit in the product 784*618*917*463 is? Select the correct option
A) 3  B) 2  C) 4  D) 5  E) 6

Solution: Unit digit in the given product = unit digit in 4*8*7*3 = 2   Answer is 2
Answer: B
A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 5 or 12? Choices:
A) 17/30 B) 2/5 C) 7/15 D) 4/15 E) 11/30

Solution: Number of Multiples of 5 from 1 through 30 = 30/5= 
30/5 = 6
6   Number of Multiples of 12 from 1 through 30= 30/12 = 2   Number of Multiples of 5 and 12 both from 1 through 30 = Number of Multiples of 12*5(=60) = 0   Total favourable cases = 6 + 2 - 0= 
6 + 2 - 0 = 8
8   Probability= 8 / 30 = 4/15   Answer: option 4/15
Answer: D
21 people are there, they are shaking hands together, how many hand shakes possible, if they are in pair of cyclic sequence.
Select the correct option.
A) 22 B) 21 C) 44 D) 45 E) 46

Solution: n for cyclic hand shake and n-1 for linear handshake.   so here no of hand shake is 21.   ANSWER:21
Answer: B
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 20 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Choose the correct answer:	A) 288	B) 492	C) 877	D) 278	E) 178

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 20 + 21= 
20 + 21 = 41
41   T= 12   D = 41 * 12= 
41 * 12 = 492
492   Answer: 492
Answer: B
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choose the correct choice from the following answers
A) 28%	B) 40%	C) 64.8%	D) 70%	E) 72%

Solution: Let initial price be 1000   Price in day 1 after 10% discount = 900   Price in day 2 after 10% discount = 810   Price in day 3 after 20% discount = 648   So, Price in day 3 as percentage of the sale price on day 1 will be = 648/900*100= 
648/900*100 = 72
> 72%   Answer will definitely be (72%)
Answer: E
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 10.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?  Answers: A) $0.50 B) $1.00 C) $1.25 D) $1.50 E) $1.75

Solution: OA is definitely wrong. The answer should be $1.50.
Answer: D
Joe bought a concert ticket for a 40% off the original price. If the ticket cost him $46.35, what is the original selling price of the ticket? Choose the correct choice.
A) $115.88	B) $77.25	C) $64.89	D) $74.16	E) None of these.

Solution: Explanation:CP of Joe is 40% of the Original SP.:. Original SP = $46.35x100/60 = $77.25.Answer: Option $77.25.
Answer: B