MU-NLPC/Calc-aqua_rat huggingface dataset:
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?	Choose the correct choice from the following choices.
A) 200  B) 255  C) 265  D) 270  E) 290

Solution: Andrew can select one or more than one of his 8 gang.   => Required number of ways = 28 – 1= 255.   255
Answer: B
Which of the following is closest to (6!-5!)/(6!+5!)?
Choose the correct choice from the following options
A) 0.01
B) 0.1
C) 0.2
D) 0.7
E) 10

Solution: (6!-5!)/(6!+5!)   5! (6-1)/5! (6+1)   5/7 =0.7 (approximately)   0.7 is the answer
Answer: D
Before the regime change, the National Museum regularly displayed only one third of the artifacts in its collection; the other two thirds were kept in storage. The National Museum’s curator estimates that one seventh to one fifth of the artifacts in the museum’s collection disappeared during the regime change. If the National Museum now wishes to display the same number of artifacts as it did before the regime change, and if none of the missing artifacts are recovered, then the museum will keep in storage:	Choose the correct choice from the following options
A) 4/5 to 6/7 of artifacts in collection
B) 9/14 to 13/20
C) 3/5 to 5/7
D) 7/12 to 11/18
E) 7/18 to 5/12

Solution: let T be total number of artifacts initially.   stolen (1/7)T to (1/5)T   left (6/7)T to (4/5)T = new total   1/3 for display T/3   storage (6/7)T -T/3 to (4/5)- T/3   11/21 T to 7T/15   so storage to new total = (11T/21) / (6T/7) to (7T/15) / (4T/5)   i.e 11/18 to 7/12   Answer is 7/12 to 11/18.
Answer: D
A CAN FINISH A WORK IN 18 DAYS AND B CAN DO THE SAME WORK IN15 DAYS. B WORKED FOR 10 DAYS AND LEFT THE JOB. IN HOW MANY DAYS, A ALONE CAN FINISH THE REMAINING WORK?  Choose the correct answer
A) 5	B) 5 1/2	C) 6	D) 8	E) NONE OF THESE

Solution: B'S 10 DAY'S WORK=(1/15*10)=2/3 REMAINING WORK = (1-2/3)=1/3   NOW, 1/18 WORK IS DONE BY A IN 1 DAY   1/3 WORK IS DONE BY A IN  (18*1/3)= 
 (18*1/3) = 6
6 DAYS.   6ORRE6T OPTION:6
Answer: C
Of a certain group of 100 people, 40 graduated from High School L, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School L, did not graduate from College Y, and do not live in City Z ?  Choose the correct option:  A) 5  B) 15  C) 35  D) 65  E) 85

Solution: 1. l+y+z+ly+yz+lz+lyz+ none=100. Fornoneto be maximum others have to be minimum   2. We know the underlined portions sum to 65 and that is the minimum value of others   3. Maximumnone= 100-65= 
100-65 = 35
35=35
Answer: C
There are two shelves A and B.The number of books in shelf A is 50 more than in shelf B..Then 20 books are removed from each shelf..Then the number of books in shelf A is twice the number of books in shelf..what are the number of books in shelf A originally? Choose the most appropriate option:
A) 100
B) 120
C) 140
D) 160
E) 180

Solution: books in a=50+x and b=x when 20 are removed 50+x-20=2(x-20) therefore x=70 and no of buks in A initially=50+70= 
50+70 = 120
120   ANSWER:120
Answer: B
How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 40 percent butterfat to obtain milk that is 20 percent butterfat? Select the correct option:  A) 6  B) 12  C) 14  D) 16  E) 28

Solution: Equate the fat:   0.1x + 0.4*8 = 0.2(x + 8) --> x = 16.   Answer: 16.
Answer: D
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?	Choose one.
A) 11	B) 10	C) 17	D) 16	E) 15

Solution: Suppose they meet x hours after 7 a.m.   Distance covered by A in x hours = 20x km.   Distance covered by B in (x - 1) hours = 25(x - 1) km.   Therefore 20x + 25(x - 1) = 110   45x = 135   x = 3.   So, they meet at 10 a.m.Answer: 10
Answer: B
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?	Pick one:
A) 27 7/7 m
B) 27 9/7 m
C) 27 6/9 m
D) 27 7/9 m
E) 27 7/1 m

Solution: Relative speed = (40 - 20)= 
(40 - 20) = 20
20 km/hr.= 20 * 5/ 18 = 50/9 m/sec.   Length of faster train   = 50/9 * 5 = 250/9   = 27 7/9 m.   Answer:27 7/9 m
Answer: D
At the end of year X, automobile installment credit accounted for 36% of all outstanding consumer installment credit. At that time automobile finance companies extended $57 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time? Pick:
A) 62
B) 171
C) 475
D) 513
E) 684

Solution: Total automobile instalment credit = 57*3= 
57*3 = 171
171   Total consumer instalment credit=171∗100/36=475;Answer = C. 475
Answer: C
150 metres long yard, 11 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees Choose the correct choice from the following choices
A) 10
B) 15
C) 14
D) 16
E) 17

Solution: 11 trees have 10 gaps between them,   Required distance (150/10)= 
(150/10) = 15
15   15
Answer: B
Find the area of a right-angled triangle whose base is 12 cm and hypotenuse is 13cm. Choose the correct choice: A) 15 B) 30 C) 18 D) 12 E) 25

Solution: Sol. Height of the triangle = [(13) 2- (12) 2](1/2) cm = (25)(1/2) cm = 5 cm.   Its area = (1/2)* Base * Height = ((1/2)*12 * 5) cm^2 = 30 cm^2.   Ans: 30
Answer: B
If a quality control check is made inspecting a sample of 2 light bulbs from a box of 14 lighbulbs, how many different samples can be chosen?  Answers
A) 6  B) 24  C) 36  D) 66  E) 91

Solution: Try using the formula for combinations:   n!/r!(n-r)!   14!/2!(14-2)!   14!/2!*12!    14*13/2*1= 
 14*13/2*1 = 91
91   91
Answer: E
A man sold 20 articles for $50 and gained 20%. How many articles should he sell for $90 to incur a loss 20%?  Answers:
A) 45
B) 36
C) 40
D) 54
E) 48

Solution: Production cost per article: $50*(100%-20%) / 20 = $2.0   Required production costs for a loss of 20%: $90*(100% + 20%) = $108   Number of articles to be sold for $108 to incur a 20% loss: $108 / $2.0 = 54   Thus, solution 54 is correct.108 /  2.0= 
108 /  2.0 = 54
54   Thus, solution 54 is correct.
Answer: D
When 3 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?  Pick
A) 1 B) 2 C) 8 D) 31 E) 30

Solution: Total outcome is 2^3 = 8   Favourable cases = H_ H   The second place can be occupied by either H or T   There are 2^1 =2 ways that can be done.   Hence, the correct option is 2
Answer: B
The diagonals of a rhombus are 15 cm and 20 cm. Find its area?	Choose one: A) 299 B) 2676 C) 150 D) 288 E) 166

Solution: 1/2 * 15 * 20= 
1/2 * 15 * 20 = 150
150   Answer:150
Answer: C
T is 10% S. S is 5% of U. How are T and U related? Options.
A) T is 50% of U B) T and U are equal C) T is 500% of U D) T is 5% of U E) T is 55% of U

Solution: If...   T=.1S   S=.5U   Then...   T/.1=.5U   Multiply both sides by .1   T=5U   T is 500% of U   The answer is T is 500% of U
Answer: C
In a board game, a stack of 42 cards, 8 of which have pictures of fruit, are shuffled and then placed face down. If the first 2 cards selected do not have pictures of fruit, what is the probability that the third card selected will have a picture of fruit?	Choose the correct choice:
A) 1/8
B) 1/5
C) 1/4
D) 4/21
E) 3/14

Solution: After 2 cards have been selected, there are 40 cards remaining.   P(third card has a picture of fruit) = 8/40 = 1/5   The answer is 1/5.
Answer: B
The price of 24 apples is equal to that of 28 oranges. The price of 45 apples and 60 oranges together is Rs.1350. The total price of 30 apples and 40 oranges is	Choose the correct choice from the following:  A) Rs.920  B) Rs.940  C) Rs.880  D) Rs.900  E) Rs.930

Solution: This can be done much easier.   Price of 45 apples and 60 oranges = Rs.1350   Price of 15 apples and 20 oranges = Rs.1350/3 = Rs.450 (∵ Rs.900ivided LHS and RHS by 15)   Price of 30 apples and 40 oranges = Rs.450 × 2 = Rs.900 (∵ Multiplied LHS and RHS by 2)   ANSWER:Rs.900
Answer: D
In how many ways can a cricket eleven be chosen out of a batch
of 15 players.  Choose the most appropriate option:  A) 1302  B) 1365  C) 1205  D) 1064  E) 1265

Solution: Required number of ways   = 15C 11 = 15C (15-11)   = 15 C 4   15C4 = 15 * 14 * 13 * 12 / 4 * 3 * 2 *1   = 1365   ANSWER 1365 1365
Answer: B
Excluding stoppages, the average speed of a bus is 80 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?  Choose the correct choice from the following answers:
A) 15 min B) 18 min C) 16 min D) 20 min E) 30 min

Solution: In 1hr, the bus covers 80 km without stoppages and 40 km with stoppages.   Stoppage time = time take to travel (80 - 40) km i.e 40 km at 80 km/hr.   stoppage time = 40/80 hrs   = 30 min   Answer: 30 min
Answer: E
2 pipes A and B can separately fill a cistern in 10 and 15 mins respectively. A person opens both the pipes together when the cistern should have been was full he findsthe waste pipe open. He then closes the waste pipe and in another 4 mins the cistern was full. In what time can the waste pipe empty the cistern when fill?
Answers
A) 1/5	B) 1/3	C) 2/7	D) 3/5	E) 3/11

Solution: 1/10 + 1/15 = 1/6 * 4 = 2/3   1 - 2/3 = 1/3   1/10 + 1/15 - 1/x = 1/3   x = 8   1/3
Answer: B
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?	Select the correct option.
A) 10  B) 76  C) 88  D) 55  E) 12

Solution: Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.   x + y = 7 --- (1) ; 2x = 4 --- (2)   solving both the equations, we get y = 5   So, time taken to cover both ways by cycle = 2y hours = 10 hours.   10nswer: 10
Answer: A
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Choices
A) 265 m	B) 755 m	C) 245 m	D) 127 m	E) 156 m

Solution: Speed = (45 * 5/18) m/sec   = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2   ==> 2(130 + X) = 750   ==> X   = 245 m.   Answer:245 m
Answer: C
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?	Choices.
A) 7m
B) 4m
C) 9m
D) 2m
E) 5m

Solution: Let the sides of the rectangle be l and b respectively.   From the given data,   (√l2 + b2) = (1 + 108 1/3 %)lb   => l2 + b2 = (1 + 325/3 * 1/100)lb   = (1 + 13/12)lb   = 25/12 lb   => (l2 + b2)/lb = 25/12   12(l2 + b2) = 25lb   Adding 24lb on both sides   12l2 + 12b2 + 24lb = 49lb   12(l2 + b2 + 2lb) = 49lb   but 2(l + b) = 28 => l + b = 14   12(l + b)2 = 49lb   => 12(14)2 = 49lb   => lb = 48   Since l + b = 14, l = 8 and b = 6   l - b = 8 - 6= 
8 - 6 = 2
2m.   Answer:2m
Answer: D
In 2010, Arman’s birthday was on a Thursday. What day of the week was it 68 days after his birthday? Choose the most appropriate option:
A) Tuesday B) Friday C) Saturday D) Sunday E) Monday

Solution: Day of week after 68 days after Arman's birthday = 7*9 + 5   Saturday as the period will have 9 weeks and 5 days .   The 5 days in the end will be Friday - Saturday - Sunday- Monday- Tuesday   Tuesdaynswer Tuesday
Answer: A
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400?  Answers
A) 2000 B) 1900 C) 2888 D) 2777 E) 2671

Solution: 65 * 6 : 84 * 5 : 100 * 3   26:28:20   C share = 74000 * 95/100 = 7030 * 20/74= 
7030 * 20/74 = 1_900
> 1900   Answer:1900
Answer: B
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 86 minutes, then the slower pipe alone will be able to fill the tank in	Choose the correct choice
A) 81 min	B) 108 min	C) 144 min	D) 192 min	E) None

Solution: Solution   Let the slower pipe alone fill the tank in x minutes.   Then, faster pipes will fill it in x/3 minutes.   Therefore, 1/x + 3/x	= 1/36   ‹=› 4/x = 1/36   ‹=› x= 144 min.   Answer 144 min
Answer: C
A woman is planning a trip that involves 3 connecting trains that depart from Stations X, Y, and Z, respectively. The first train leaves Station X every hour, beginning at 6 a.m., and arrives at Station Y 1(3/4) hours later. The second train leaves Station Y every half hour, beginning at 9 a.m., and arrives at Station Z 2(1/3) hours later. The third train leaves Station Z every 45 minutes, beginning at 8 a.m. What is the least total amount of time the woman must spend waiting between trains if all trains depart and arrive on schedule, and if she arrives at Station Z no later than 3:30 p.m.?
Pick one.
A) 15 minutes  B) 25 minutes  C) 1 hour 15 minutes  D) 1 hour 40 minutes  E) 4 hours 30 minutes

Solution: Trains depart from X at 6/7/8/9 and reach Y at 7:45/8:45/9:45 etc   Trains depart from Y at 9/9:30/10/10:30 etc. This means a minimum wait of 15 mins is required at Y.   They arrive at Z at 11:20/11:50/12:20/12:50. They depart from Z at 8/8:45/9:30/10:15/11/11:45/12:30 and so on. Note that if she arrives at Z at 20 mins past the hour, she will need to wait for at least 10 mins for 12:30/3:30 etc train. If she arrives at 50 mins past the hour, again she needs to wait for at least 10 mins to take the 2 o clock train. So anyway 10 mins at Z is a given.   So minimum she will need to wait for  15+10= 
 15+10 = 25
25 mins.   This works out if she takes 8 o clock train from X, reaches Y at 9:45, takes 10 o clock train from Y and reaches Z at 12:20 and takes 12:30 train from Z.   Answer (25 minutes)
Answer: B
What is the greatest positive integer x such that 3^x is a factor of 9^8?  Select the correct option: A) 5 B) 9 C) 16 D) 20 E) 30

Solution: What is the greatest positive integer x such that 3^x is a factor of 9^8?   9^8 = (3^2)^8 = 3^16   C. 16
Answer: C
Two pipes C and D can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?	Choose the correct choice from the following choices
A) A)1/8
B) B)1/3
C) C)1/9
D) D)1/2
E) E)1/4

Solution: 1/10 + 1/15 = 1/6 * 4 = 2/3   1 - 2/3 = 1/3   1/10 + 1/15 - 1/x = 1/3   x = 8   Answer:1/3
Answer: B
In the manufacture of a certain product, 6 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?  Answers
A) 0.125% B) 0.24% C) 0.8% D) 1.25% E) 2.0%

Solution: Percent of defective produced = 6%   Percent of the defective units that are shipped for sale = 4%   Percent of units produced are defective units that are shipped for sale = (4/100)*(6/100)*100%   = (24/10000)*100%   = (24/100)= 
(24/100) = 6/25 = around 0.24
.24 %   Answer 0.24%
Answer: B
Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 36, what is the measure of side XY? Pick:
A) 4
B) 4√2
C) 12
D) 8√2
E) Cannot be determined from the information provided

Solution: ans C ..12..   xy being larger means it is the hyp..   area =(1/2)*(yz)^2=36 or yz=3*\sqrt{2}..   therefore hyp=xy=12
Answer: C
A man has some hens and cows. If the number of heads be 42 and the number of feet equals 124, then the number of hens will be  Pick one
A) 22
B) 24
C) 26
D) 20
E) 28

Solution: Explanation :   Let number of hens = h and number of cows = c   number of heads = 42   => h + c = 42 ---(Equation 1)   number of feet = 124   => 2h + 4c = 124   => h + 2c = 62 ---(Equation 2)   (Equation 2) - (Equation 1) gives   2c - c = 62 - 42   => c = 20   Substituting the value of c in Equation 1, we get   h + 22 = 42   => h = 42 - 20= 
42 - 20 = 22
22   i.e., number of hens= 22   22nswer : 22
Answer: A
How much more would Rs.20000 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? Choices:
A) 482
B) 197
C) 267
D) 216
E) 270

Solution: 20000(11/10)4 - 20000(6/5)2   = 482   482nswer:482
Answer: A
The first three terms of an infinite sequence are 2, 7, and 22. After the first term, each consecutive term can be obtained by multiplying the previous term by 3 and then adding 1. What is the sum of the tens digit and the units digit of the 15th term in the sequence? Choose the most appropriate option.
A) 4	B) 5	C) 6	D) 7	E) 8

Solution: Following the rule of Infinite sequence we obtain the terms of the sequence as mentioned below   02,07,22,67, 202, 607, 1822, 5467...   Observe the last two digits of the sequence which have the cyclicity of4and the last two digits repeat in the order {02, 07, 22, 67}   Also 15th Term =4*3 +3   i.e. 15th Terms will have same Last two digits as 3rd term of the sequence = 22   i.e. Sum of lat two digits of 15th Term = 2+2= 
2+2 = 4
4   4
Answer: A
1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?	Choose the correct choice from the following.
A) 12.9	B) 12.5	C) 12.6	D) 12.2	E) 12.1

Solution: 1000*15 = 1200*x   x = 12.5   Answer: 12.6
Answer: C
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 8 people all together .how many people can sit in a bus? Choose the correct choice from the following choices
A) 52
B) 49
C) 95
D) 88
E) 89

Solution: Right Side =15 seat   Left Side =15-3 (3 few seat in right side)= 12 seat   Total= 15+12= 
15+12 = 27
27   People can seat in 27 seat= 27*3= 
27*3 = 81
81   People can seat in Last Seat= 8   Total People can seat= 81+8= 
81+8 = 89
89   ANSW89R:89
Answer: E
If y is a positive integer, which of the following could NOT be the square of y?	Choose the most appropriate option.
A) 5,228,644  B) 5,224,169  C) 4,989,696  D) 4,985,225  E) 4,998,752

Solution: A number ending with 2 can never be a perfect square.   Units digit of a perfect square must be:   1,4,9,6,5   Answer 4,998,752)
Answer: E
At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.70000?
Answers.
A) 6620
B) 3277
C) 2688
D) 2998
E) 23170

Solution: A = 70000(11/10)3   = 93170   = 70000   ----------   23170   Answer:23170
Answer: E
A sock drawer contains four socks, each one a different solid color. The colors of the socks are red, orange, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?	Choose the most appropriate option
A) 12	B) 15	C) 6	D) 36	E) 42

Solution: Since here order of socks is not important then we'll have 4C2 i.e. 6 combinations.   Answer : 6
Answer: C
There are a total of 100 jars on the shelf. Small jars hold 3 liters and large jars hold 5 liters. The jars can hold a total of 376 liters. How many small jars are on the shelf? Pick one.
A) 49
B) 53
C) 56
D) 59
E) 62

Solution: Let S be the number of small jars and let L be the number of large jars.   S + L = 100.   L = 100 - S.   3S + 5L = 376.   3S + 5(100-S)= 376.   -2S+500=376.   2S = 124.   S = 62.   The answer is 62.
Answer: E
A cylindrical can has a radius of 4 centimeters and a height of 18 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over-lapping?	Choose the most appropriate option.
A) 16 pi B) 64 pi C) 96 pi D) 144 pi E) 576 pi

Solution: They are asking the lateral surface area of the cylinder.   the Lateral surface area = 2* pi * r *h   = 2*pi*4*18=144 pi   Answer is 144 pi.
Answer: D
Robert's salary was increased by 50% and subsequently decreased by 10%. how much percentage does he gain?  Choose one
A) 15%
B) 20%
C) 10%
D) 25%
E) 30%

Solution: let original salary be $100   increased salary = 10% of (150% of $100) = (10/100)*(150/100)*100= 
(10/100)*(150/100)*100 = 15
$15   increase= 15%   correct option is 15%
Answer: A
Find the average of all prime numbers between 40 and 80.	Select
A) 59.4  B) 56  C) 39.8  D) 44.9  E) None

Solution: Sol.   There are five prime numbers between 40 and 80.   They are 41, 43, 47, 53, 59, 61, 67, 71, 73, 79   âˆ´ Required average = [41+ 43+ 47+ 53+ 59+ 61+67+ 71+73+ 79 / 10] = 594/ 10= 
594/ 10 = 297/5 = around 59.4
59.4   59.4nswer 59.4
Answer: A
list of salaries of 5 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $43,000 Choose the correct choice from the following answers
A) $28,000 B) $28,500 C) $30,200 D) $30,800 E) $35,500

Solution: Ordering the data from least to greatest, we get:   $29,000, $31,000, $35,500, $40,000, $43,000   Since there is an odd number of items in the data set, we compute the median by taking the middle number   The median salary is $35,500.   Answer : $35,500
Answer: E
One fourth of a solution that was 13% salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent salt by weight?  Choose one:  A) 25%  B) 34%  C) 22%  D) 18%  E) 8.5%

Solution: consider total solution to be 100 liters and in this case you'll have: 75*0.13+25*x=100*0.16 --> x=0.25.   25%nswer: 25%.
Answer: A
Find the smallest number of five digits exactly divisible by 24,48,64 and 88. Options:
A) 11952	B) 11852	C) 11752	D) 11652	E) 11552

Solution: Smallest number of five digits is 10000.   Required number must be divisible by L.C.M. of 24,48,64,88 i.e 2012,   On dividing 10000 by 2012,we get 60 as remainder.   Therefore, Required number = 10000 +( 2012 â€“ 60 ) = 11952.   11952nswer is 11952.
Answer: A
A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 18 km/hr and reaches school 1 hour early. What is the distance between his house and the school?  Select
A) 65.0
B) 67.5
C) 70.0
D) 72.5
E) 75.0

Solution: Let x be the distance from his house to the school.   x/10 = x/18 + 3   9x = 5x + 270   4x = 270   x = 67.5 km   The answer is 67.5.
Answer: B
Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $38 of gas?
Choose the correct choice from the following choices
A) 212
B) 256
C) 304
D) 372
E) 460

Solution: 38/4= 
38/4 = 19/2 = around 9.5
9.5 gallons     9.5*32= 
  9.5*32 = 304
304 miles   The answer is 304.
Answer: C
Arjun sold an ipod for Rs 17,940 with a discount of 8% and gained 19.6%. If no discount is allowed, then what will be his gain per cent?
Choose the correct choice from the following answers.
A) 30%  B) 26.4%  C) 24.8%  D) 25.8%  E) None of these

Solution: S.P = Rs 17,940   Discount = 8%   Market price = (17940 x 100)/ (100 - 8)   Rs 19,500   Gain = 19.6%   C.P = 17940 x 100/100 + 19.6 = Rs 15,000   If no discount is allowed on the Market price then S.P = Rs 19,500   Therefore, Gain % = (4500/15000 ) x 100 = 30 %   30%NSWER:30%
Answer: A
A bag contains ten marbles of the same size: 3 are identical green marbles, 2 are identical red marbles, and the other 5 are five distinct colors. If 5 marbles are selected at random, how many distinct combinations Z of five marbles could be drawn?	Options:	A) 41	B) 51	C) 62	D) 72	E) 82

Solution: there will be different cases, which we will take one by one..   1)case 1 when all five colours are different-7c5=21..   2)case 2 when three different colours and 2 of same type=6c3*2=30..   3)case 3 when two different colours and 3 of same type=6c2=15..   4)case 4 when one different colours and 2 of two different colors=5c1*4!/2!2!=15...   5)case 4 when 3 of one type and 2 of other colour=1...   total Z-82 ans 82
Answer: E