MU-NLPC/Calc-aqua_rat huggingface dataset:
A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent	Pick.
A) 5400  B) 3400  C) 5200  D) 6500  E) 5300

Solution: Interest for 1 year is the same whether it's simple interest or the compound interest.Now interest of third year = 8575 - 7350= 
8575 - 7350 = 1_225
1225; means principal for this interest is 7350 if comound interest is takenIf 7350 is the principal interest= 1225if 100 is the principal interest =(1225/7350) * 100 = 50/3 %When a thing increases for two successive times the overall increase on initial amount = a + b + (a * b)/100Therefore overall interest for two years = 50/3 + 50/3 + [(50/3)*(50/3)]/100 = 325/9 %Therefore amount after 2 years = 100 + 325/9 = 1225/9If 1225/9 is the amount principal =100if 7350 is the amount principal =(900/1225)*7350= 
(900/1225)*7350 = 5_400
5400So sum= 5400; Rate = 50/3 % 5400nswer : 5400
Answer: A
The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 3:2. As a result of the gift, Kaye had how many more stamps than Alberto? Pick:  A) 20  B) 30  C) 40  D) 60  E) 80

Solution: C   K1 = 5x   A1 = 3x   K2 = 5x - 10   A2 = 3x + 10   K2/A2 = 3/2   (5x-10)/(3x+10) = 3/2   2*(5x-10) = 3*(3x+10)   10x - 20 = 9x + 30   x = 50   K2 = 5*50 - 10= 
5*50 - 10 = 240
240   A2= 3*50 + 10= 
3*50 + 10 = 160
160   K2 - A2= 80   Answer : 80
Answer: E
Two cards are drawn together at random from a pack of 52 cards. What is the probability of both the cards being Queens?  Choose the correct choice from the following:  A) 1/221  B) 1/712  C) 1/224  D) 1/212  E) 1/232

Solution: Total number of Queens = 4   Total number of cards = 52   P(Queen in first draw) = 4/52   P(Queen in second draw) = 3/51   =4/52*3/51=1/13*1/17=1/221   1/221nswer 1/221
Answer: A
A printer print a page in 4 second,approx how long time it will take to print 190 page report?  Select the correct option: A) 12 Min 40 Sec B) 14 Min 40 Sec C) 16 Min 40 Sec D) 18 Min 40 Sec E) 11 Min 40 Sec

Solution: 1 Page = 4 Sec   30 Page = 120 Sec (2 Min)   190 Page = 12 Min 40 Sec   12 Min 40 SecNSWER:12 Min 40 Sec
Answer: A
The prime minister of a country and 4 other dignitaries are scheduled to sit in a row on the 5 chairs represented above. If the prime minister must sit in the center chair, how many different seating arrangements are possible for the 5 people?
Choose the correct answer.
A) 4	B) 24	C) 20	D) 21	E) 120

Solution: IMO B   Given that one chair is taken, i think the remaining 4 dignitaries can be arranged 4!. That is 4*3*2*1= 
4*3*2*1 = 24
24.
Answer: B
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? Choose the correct choice from the following answers:
A) 9
B) 8
C) 7
D) 6
E) 5

Solution: Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere.   π(16)2 * h = (4/3)π (12)3 => h = 9 cm   9nswer:9
Answer: A
The first three terms of a proportion are 4, 9 and 12. The fourth term is?
Choose the correct choice from the following:
A) 24 B) 25 C) 26 D) 27 E) 28

Solution: (9*12)/4= 
(9*12)/4 = 27
27   ANSWER:27
Answer: D
The perimeters of 2 squares are 60cm and 48cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares?
Pick one:
A) 20cm	B) 28cm	C) 36cm	D) 48cm	E) 40cm

Solution: Side of the 1st square = 60/4= 
60/4 = 15
15cm   Side of the 2nd square= 48/4= 
48/4 = 12
12cm   Area of the 3rd square= 15^2 - 12^2 = 81cm^2   Side of the 3rd square = 9cm   Required perimeter = 9*4= 
9*4 = 36
36cm   Answer is 36cm
Answer: C
Compound interest of Rs.4000 at 10% per annum for 1 1/2years will be (interest compounded half yearly). Select.
A) Rs.473  B) Rs.374  C) Rs.495  D) Rs.630  E) None of the above

Solution: 10% interest per annum will be 5% interest half yearly for 3 terms( 1 1/2 years)   So compound interest=4000[1+(5/100)]^3 - 4000=4000[(21/20)^3 -1]   =4000(9261-8000)/8000   =4*1261/8   =630   ANSWER:Rs.630
Answer: D
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If y ≠ 3 and 3t/y is a prime integer greater than 2, which of the following must be true?
I. t = y
II. y = 1
III. t and y are prime integers. Choose the correct answer:
A) None
B) I only
C) II only
D) III only
E) I and III

Solution: 3t/y and if t=y then ans is 3 and 3 is prime number, which is greater than 2. so ans must be B. Please post ONone.
Answer: A
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 50%? Choose one.
A) 282	B) 229	C) 356.25	D) 285	E) 2812

Solution: Total CP per shirt = 225 + 1400/160 + 1.75 + 320/160 = Rs. 237.5   SP = CP[(100 + profit%)/100]   = 237.5 * [(100 + 50)/100] = Rs. 356.25.   Answer:356.25
Answer: C
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?  Choose the correct choice from the following.
A) 1 kmph
B) 7 kmph
C) 4 kmph
D) 9 kmph
E) 2 kmph

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1 kmphnswer:1 kmph
Answer: A
If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?  Choose the correct option:
A) 1 hour	B) 9 hour	C) 7 hour	D) 6 hour	E) 8 hour

Solution: Speed Ratio = 1:3/4 = 4:3   Time Ratio = 3:4   1 -------- 1/3   3 --------- ? è 1 hour   1 hournswer:1 hour
Answer: A
At the end of the month, a certain ocean desalination plant’s reservoir contained 14 million gallons of water. This amount is twice the normal level. If this amount represents 70% of the reservoir’s total capacity, how many million gallons short of total capacity is the normal level? Choose the correct choice from the following choices:
A) 2  B) 5  C) 10  D) 12  E) 15

Solution: the Q talks of total capacity, normal level, present level, shortage etc..   so it is all about not going wrong in these terms   14 MG= 70% of Total..   total = 14/.7= 
14/.7 = 20
20MG..   Normal level= 1/2 of 20=10MG..   shortage of normal level=20-10= 
20-10 = 10
10MG..   10
Answer: C
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is  Pick
A) 0.5928 B) 0.5904 C) 0.2788 D) 0.2699 E) 0.2998

Solution: P(winning prize atleast on one ticket)   = 1 - P("Losing on all tickets")   = 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)   = (1.64)(0.36) = 0.5904   Answer:0.5904
Answer: B
If a car had increased its average speed for a 210 mile journey by 5 mph, the journey would have been completed in one hour less. What was the original speed of the car for the journey?
Pick.
A) 40 mph
B) 16 mph
C) 50 mph
D) 20 mph
E) 30 mph

Solution: 30 mph   30 mph
Answer: E
Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 66 years. What is Molly's age right now?	Choose the correct choice from the following answers:
A) 15 years  B) 35 years  C) 25 years  D) 45 years  E) 55 years

Solution: Now, Sandy is  66 - 6= 
 66 - 6 = 60
60   Molly's age is (3/4) * 60= 
(3/4) * 60 = 45
45   The answer is 45 years.
Answer: D
list of salaries of 8 employees are listed below. What is the median salary? $40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $32,000  Choose the correct choice from the following answers:  A) $15,000  B) $23,540  C) $23,550  D) $30,590  E) $31,500

Solution: Ordering the data from least to greatest, we get:   $27,000, $29,000, $30,000, $31,000, $32,000, $35,500, $40,000, $43,000   Since there is an even number of items in the data set, we compute the median by taking the mean of the two middlemost numbers.   $31,000 + $32,000 = $63,000   The median salary is $31,500.   $31,500
Answer: E
Point X is located on line segment AB and point Y is located on line segment CD. If AB = CD and AX < CY, then	Choose one.
A) XB > YD
B) XB < YD
C) AX > XB
D) AX < XB
E) AX > AB

Solution: A--X------B   C-----Y---D   XB < YD.   XB > YDnswer: XB > YD.
Answer: A
A bucket full of worms kept for Mike's next fishing trip was discovered by the rat that resides in the basement. The rat eats a sixth of the total number of worms in 5 hours. How much time will it take the rat to finish a quarter of the worms?
Pick one.
A) 4 hours	B) 6 hours	C) 7.5 hours	D) 8 hours	E) 30 hours

Solution: In 5 hrs, the rat eats 1/6 of the worms.   In 1 hr, it eats (1/6)/5 = 1/30 of the worms. This is his rate of eating.   Worms to be eaten = 1/4. This is the work that has to be done.   Work = Rate * Time   1/4 = 1/30 * Time   Time = 15/2= 
15/2 = 15/2 = around 7.5
7.5 hrs   Answer (7.5 hours)
Answer: C
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 41° is?
Answers
A) 49m2	B) 50m2	C) 51.5m2	D) 53m2	E) 59m2

Solution: 41/360 * 22/7 * 12 * 12   = 51.5 m2   Answer:51.5m2
Answer: C
A man can row upstream at 25 kmph and downstream at 43 kmph, and then find the speed of the man in still water?
Select:  A) 86  B) 34  C) 30  D) 15  E) 17

Solution: US = 25   DS = 43   M = (43 + 25)/2= 
(43 + 25)/2 = 34
34   Answer: 34
Answer: B
If logx 4 = 1/4, then x is equal to
Select the correct option:
A) 16  B) 64  C) 128  D) 256  E) none

Solution: Solution   log x 4	= 1/4   ‹=› x 1/4   = 4   ‹=›x= 44   = 256.   Answer 256
Answer: D
A shop owner sells 90 oranges and gains SP of 20 oranges. Find the gain %?
Choose the correct choice:
A) 25 4/7%
B) 27 4/7%
C) 30 4/7%
D) 29 4/7%
E) 28 4/7%

Solution: Gain=20 orangesTotal 90 orangesCP 90-20= 
90-20 = 70
70(20/70)*100=28 4/7%Ans 28 4/7%
Answer: E
Siva Reddy walked 2 km west of his house and then turned south covering 4 km. Finally, He moved 3 km towards east and then again 1 km west. How far is he from his initial position?	Answers.
A) 10 km
B) 9 km
C) 2 km
D) 4 km
E) 8 km

Solution: 4 km   ANSWER 4 km
Answer: D
Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.6400?
Choose the correct choice from the following answers:
A) 8100	B) 3388	C) 7767	D) 2009	E) 22888

Solution: 6400* 9/8 * 9/8= 
6400* 9/8 * 9/8 = 8_100
8100   8100nswer: 8100
Answer: A
A Jar contains a mixture of AB in the ratio 4:1. When 40 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially. Select.
A) 12
B) 15
C) 16
D) 64
E) 25

Solution: 40 litres of mixture that is replaced will contain 32 litres of A and 8 litres of B (as A:B = 4:1)   Let the initial volume of the mixture be 4K + 1K = 5K   So by condition ,   [ 4K-32 ]/ [ K-8+40 ]   4  + 1= 
  4  + 1 = 5
5K   So by condition ,   [ 4K-32 ]/ [ K-8+40 ]= 2/3 => 12K -96= 2K-16+80 => 10K = 160   Solve for K which is K = 16   So initial volume of liquid A = 4K = 64 litres   Answer : 64
Answer: D
The average of 11 numbers is 10.8. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?  Options:
A) 9.5	B) 12.6	C) 10.5	D) 11.5	E) 12

Solution: Explanation:   1 to 11 = 11 * 10.8= 
11 * 10.8 = 118.8
118.8   1 to 6= 6 * 10.5= 
6 * 10.5 = 63
63   6 to 11= 6 * 11.4= 
6 * 11.4 = 68.4
68.4   63 + 68.4= 
63 + 68.4 = 131.4
131.4 – 118.8= 12.6   6th number = 12.6   Option 12.6
Answer: B
John have a 630ml mixture of milk and water in the ratio 7:2. How much water must be added to make the ratio 7:3?  Choose the correct answer: A) 40 m B) 50 m C) 70 m D) 90 m E) 100 m

Solution: concentration of water in mixture1 =29 (since the ratio of milk and water = 7:2) ...(1)   concentration of water in pure water= 1 ...(2)   Now the above mentioned items are mixed to form mixture2 where milk and water ratio = 7 : 3   => concentration of water in mixture2 =310   By rule of alligation,   concentration of water in mixture1 (29)   concentration of water in pure water (1)   Mean concentration   (310)   1−310=710   310−29=790   => Quantity of mixture1 : Quantity of water   =710:790=110:190=1:19   Given that Quantity of mixture1 = 630 ml   => 630 : Quantity of water =1:19   => Quantity of water =630×19=70 ml   70 m
Answer: C
The inverse ratio of 3: 6: 1 is?	Pick.
A) 2:3:7 B) 2:3:9 C) 2:1:6 D) 2:3:6 E) 2:3:1

Solution: 1/3: 1/6: 1/1 = 2:1:6   Answer:2:1:6
Answer: C
Two girls begin together to write out a book containing 900 lines. The first girl starts with the first line, writing at a speed of 150 lines per hour and the second girl starts writing from the last line at the rate of 200 lines per hour. At which line will they meet?
Choices: A) 384th line B) 386th line C) 389th line D) 400th line E) None of these

Solution: Explanation :   Solve this question as analogous to distance method,   At some x page they will meet, so   x/150 = (900 – x)/200, we get x = 385.7 = 386th line (approx.)   Answer –386th line
Answer: B
A man can do a job in 5 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?  Choices: A) 6.3 B) 6.9 C) 3.5 D) 6.1 E) 6.2

Solution: 1 day work of the three persons = (1/5 + 1/20 + 1/25) = 29/100   So, all three together will complete the work in 100/29 = 3.5 days.   Answer:3.5
Answer: C
A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 30 paise per sq m is  Choose one.
A) Rs. 223.20 B) Rs. 323.20 C) Rs. 423.20 D) Rs. 523.20 E) None of these

Solution: Explanation:   Rs. 223.20rea to be plastered = [2(l + b) Ã— h] + (l Ã— b)   = [2(25 + 12) Ã— 6] + (25 Ã— 12) = 744 sq m   Cost of plastering = 744 Ã— (30/100) = Rs.223.20 Rs. 223.20nswer: Rs. 223.20
Answer: A
A basket contains 2 blue, 2 red and 2 yellow marbles. If 2 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?
Choose the correct answer:
A) 2/5
B) 3/25
C) 1/6
D) 9/28
E) 11/24

Solution: 6/6*4/5*2/4 = 2/5   the answer is (2/5)
Answer: A
The cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paise per meter is Rs. 36. The breadth of the room is ?
Choose the correct choice
A) 6 meters	B) 7 meters	C) 8 meters	D) 9 meters	E) 10 meters

Solution: Length of carpet = Total Cost / Rate   = 3600 / 30= 
3600 / 30 = 120
120 m   6 metersrea of carpet= (120 x 75) / 100 m2   = 90 m2   ∴ 6 metersrea of the room = 90 m2   Breadth of the room = 6 metersrea /Length   = 90 / 15= 
90 / 15 = 6
6m   6 metersnswer : 6 meters
Answer: A
A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.
Choose the correct choice from the following options:  A) 10 sec  B) 12 sec  C) 14 sec  D) 16 sec  E) 20 sec

Solution: ANSWER B   As we need to get answer in seconds, so never forget to convert speed into meter per second.   Speed = 30 km/hr = 30* 5/18 m/sec   = 25/3 m/sec   Distance = length of train = 100 meter   Required time = DIST/SPEED = 100/25/3 = 100*3/25= 
100*3/25 = 12
12sec   ANSWER 12 sec
Answer: B
Population of a city in 20004 was 1200000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007	Choices
A) 354354  B) 545454  C) 465785  D) 456573  E) 1300650

Solution: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)   = P (1 + 15/100)(1 - 35/100)(1 + 45/100)   = 1300650   1300650
Answer: E
Gary’s Gas Station serves an average of 14 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
Answers.
A) 1,104
B) 1,200
C) 1,240
D) 1,280
E) 1,320

Solution: 6 a.m. to 10 p.m. = 16 hours   Number of cars serviced on weekdays = (16 * 9 * 5)   Number of cars serviced on Saturday = (16 * 14)   Number of cars serviced on Sunday = (16 * 10)   Number of cars served in a week = 16(45 + 14 + 10) = 16 * 69= 
16 * 69 = 1_104
1104   1,104nswer: 1,104
Answer: A
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work? Choose the correct choice from the following answers
A) 4 days  B) 7 days  C) 9 days  D) 8 days  E) 2 days

Solution: 9 days   3/12 + (3 + x)/16 = 1   x = 9 days
Answer: C
A certain board game is played by rolling a pair of fair six-sided dice and then moving one's piece forward the number of spaces indicated by the sum showing on the dice. A player is frozen if her opponent's piece comes to rest in the space already occupied by her piece. If player A is about to roll and is currently seven spaces behind player B, what is the probability that player B will be frozen after player A rolls?
Pick one:
A) 1/12	B) 5/36	C) 1/6	D) 1/3	E) 17/36

Solution: no. of possible outcomes = 6*6= 
6*6 = 36
36   no. of outcomes that result a total of 7 (as A is 7 spaces behind B)= 6 ( (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) )   So, the probability = 6/36 =1/6 (Option 1/6)
Answer: C
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? Choose the correct choice from the following answers:
A) 1000
B) 999
C) 8289
D) 2889
E) 2132

Solution: 90%   104%   --------   14% ---- 140   100% ---- ? => Rs.1000   1000nswer:1000
Answer: A
n^(n/2)=6 is true when n=6 in the same way what is the value of n if n^(n/2) =10?	Choose the correct choice from the following answers.
A) 8  B) 12  C) 10  D) 16  E) 18

Solution: n^(n/2)=10Apply logN/2logn=log10nlogn=2log10=log10^2=log100Logn=log100Now apply antilogn=100/nNow n=10.ANSWER:10
Answer: C
If y is the average of x odd consecutive integers and |z - 6/4| = 1/2, which of the following MUST be true?
I. xy(z + 1) is even.
II. x(z + y) is even.
III. (x^2 - x)yz is even.  Pick.
A) I only B) III only C) I and II D) II and III E) I, II, and III

Solution: If x is even, then the average of even number of odd consecutive integers (y), will be even. For example, the average of {1, 3} is 2.   If x is odd, then the average of odd number of odd consecutive integers (y), will be odd. For example, the average of {1, 3, 5} is 3.   Thus:   If x = even, then y = even;   If x = odd, then y = odd.   Next, |z - 6/4| = 1/2:   z - 6/4 = 1/2 --> z = 2;   -(z - 6/4) = 1/2 --> z = 1.   Since, z can be even as well as odd, then it takes no part in deciding whether the options are even or odd. So, we can ignore it.   I. xy(z + 1) is even: xy can be odd if both are odd and even if both are even. So, this option is not necessarily even. Discard.   II. x(z + y) is even: if x and y are odd, and z is even, then x(z + y) = odd(odd + even) = odd but if if x and y are odd, and z is odd too, then x(z + y) = odd(odd + odd) = even. So, this option is not necessarily even. Discard.   III. (x^2 - x)yz is even: (x^2 - x)yz = x(x - 1)yz. Since either x or x - 1 is even, then the whole expression must be even irrespective of the values of x, y, and z.   Answer: III only.
Answer: B
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Options:
A) Rs.45 B) Rs.78 C) Rs.44 D) Rs.40 E) Rs.42

Solution: Explanation:   Ï€ (152 - 132) = 176   176 * 1/4 = Rs.44   ANSWER IS Rs.44
Answer: C
3 OUT OF 1000 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH Choose the most appropriate option:
A) 11/50  B) 2/9  C) 1/45  D) 2/7  E) NONE OF THESE

Solution: REQUIRE2/7 PERCENTAGE=(3/1000*100)%=2/7%   CORRECT OPTIONS: 2/7
Answer: D
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary? Options
A) 7189 B) 7282 C) 7298 D) 1500 E) 1576

Solution: (5/100) A = (15/100) B   A = 3B   A + B = 2000   4B = 2000 => B = 500   A = 1500   Answer: 1500
Answer: D
The parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 16 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 the correct choice from the following choices:  A) 28.28CM  B) 25.45CM  C) 26.45CM  D) 20.18CM  E) 32.14CM

Solution: Let the side of the square be a cm.   Parameter of the rectangle = 2(20 + 16) = 72 cm Parameter of the square = 72 cm   i.e. 4a = 72   28.28CM = 18   Diameter of the semicircle = 18 cm   Circimference of the semicircle   = 1/2(∏)(18)   = 1/2(22/7)(18) = 396/14 = 28.28 cm to two decimal places   28.28CMnswer: 28.28CM
Answer: A
The ratio of red, yellow, and green jelly beans in a jar is 2:3:4. If the number of jelly beans is increased by 50%, 40%, and 30% respectively, what will be the new ratio? Select:
A) 7:15:21  B) 11:18:24  C) 15:21:26  D) 17:24:28  E) 18:25:32

Solution: The new ratio will be 3:4.2:5.2=30:42:52=15:21:26.   The answer is 15:21:26.
Answer: C
If x is an integer, then x(x - 1)(x - k) should be evenly divisible by three when k is any of the following values EXCEPT  Select
A) 4  B) -4  C) -1  D) 2  E) 5

Solution: if we put k=-1 we get:   X(x-1)(X+1) rearrange:(x-1)X(X+1)   so it looks like a sequenc,   if we assume that X =2 and put number from the answer then we get:   (x – 1)x(x – k)   k=5 =1.2.-3   k=2 =1.2.0   k=-1 =1.2.3   k=-4 =1.2.6   but when we put   k=4 =1.2.-2 not satisfied   so,the answer is 4
Answer: A
A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,560 ?
Pick.
A) $12  B) $14  C) $24  D) $17  E) $18

Solution: I solved it as follows:   10+2(x) = 100 -5(x)   x= 12   Equation should be (10+$2*x)(100-5x)=1,560, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,560 --> (5+x)(20-x)=156 --> x=7 or x=8 --> price=10+$2*7=$24 or price10+ 2*7= 
10+ 2*7 = 24
$24 or price=10+$2*8=$26.   Answer: $24.10+ 2*8= 
10+ 2*8 = 26
$26.   Answer: $24.
Answer: C
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds.If the speed of the train is 15m/sec,what is the length of the train? Choose the correct choice from the following:  A) 150m  B) 200m  C) 300m  D) 240  E) None

Solution: Length of the train= (15*20)= 
(15*20) = 300
300m   Let the length of the platform be x meters.   Then, (x+300)/36=15   x=240m   Answer:Option 240
Answer: D
How many seconds will a 100 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?  Choose the correct choice from the following answers:
A) 6
B) 30
C) 8
D) 12
E) 1

Solution: Speed of train relative to man = 63 - 3= 
63 - 3 = 60
60 km/hr.= 60 * 5/18 = 50/3 m/sec.   Time taken to pass the man = 100 * 3/50= 
100 * 3/50 = 6
6 sec.   6nswer: Option 6
Answer: A
A cricket bat is sold for $900, making a profit of $300. The profit percentage would be
Select
A) 24% B) 25% C) 30% D) 50% E) 40%

Solution: 300/(900 - 300) = 50%.   Answer: 50%
Answer: D
How many plants will be there in a circular bed whose outer edge measure 30 cms, allowing 4 cm2 for each plant ? Choose the most appropriate option:
A) 18
B) 750
C) 24
D) 120
E) None of these

Solution: Circumference of circular bed = 30 cm   18rea of circular bed = (30)2⁄4π   Space for each plant = 4 cm2   ∴ Required number of plants   = (30)2⁄4π ÷ 4 = 17.89 = 18(approx)   18nswer 18
Answer: A
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choose the correct answer:	A) 12 min	B) 10 min	C) 11 min	D) 10 min	E) 17 min

Solution: 12 min   12 min   T = 9/45 * 60= 
9/45 * 60 = 12
12
Answer: A