MU-NLPC/Calc-aqua_rat huggingface dataset:
Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 2 ------------------------------------------ 5,000
S2 ---------------------- 5 ------------------- ---------------------- 12,000
S3 ---------------------- 6 ------------------------------------------ 18,000
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 66,000 chips?
Choose the correct choice from the following answers:
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 17/51000 or 1 every 3000 chips.   Keeping this ratio constant for 60000 chips number of defective chips will be   (1/3000) * 66000= 
  (1/3000) * 66000 = 22
22   22
Answer: C
At 3:40, the hour hand and the minute hand of a clock form an angle of  Choose the correct option:
A) 160°
B) 180°
C) 130°
D) 110°
E) 150°

Solution: Angle between hands of a clock   When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock   =30(H−M/5)+M/2 degree   When the minute hand is ahead of the hour hand, the angle between the two hands at M minutes past H 'o clock   =30(M/5−H)−M/2 degree   Here H = 3, M = 40 and minute hand is ahead of the hour hand.   Hence the angle   =30(M/5−H)−M/2   =30(40/5−3)−40/2   =30(8−3)−20   =30×5−20 =130°   Answer is 130°.
Answer: C
A factory produces x widgets per day. The factory's fixed costs are $8000 per day. The price per widget is $80 and the variable costs are $30 per widget. How many widgets need to be produced for profits of $5440 a day?  Choose the correct choice from the following
A) 42.33  B) 90.33  C) 168  D) 224  E) 268.8

Solution: profits=5440=50x-8000 --> x=268.80   Answer 268.8.
Answer: E
If a - b = 10 and a2 + b2 = 210, find the value of ab.  Select.
A) 68	B) 42	C) 55	D) 18	E) 44

Solution: 2ab = (a2 + b2) - (a - b)2   = 210 - 100= 
210 - 100 = 110
110   ab= 55.   Answer: 55
Answer: C
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?	Choose the correct choice from the following options
A) 5 mins	B) 1 mins	C) 8 mins	D) 3 mins	E) 6 mins

Solution: 3 mins   3 mins   3 mins = 25 * 60 + 1500= 
25 * 60 + 1500 = 3_000
3000 m   T= 3000/60 * 18/5= 
3000/60 * 18/5 = 180
180 sec= 3 mins
Answer: D
The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape? Select.
A) 80  B) 100  C) 120  D) 130  E) 140

Solution: Sol. x * 4x = 3 * 1200   x = 30   Length = 4 * 30= 
4 * 30 = 120
120   120
Answer: C
A pack of “Jameson's” cigarettes contains 20 cigarettes, of which 2 to 5 cigarettes (randomly) are defective. What are the greatest possible chances of picking a non-defective cigarette? Choose the correct choice from the following answers:
A) 0.1
B) 0.25
C) 0.5
D) 0.75
E) 0.9

Solution: greatest chance of picking a non defective will exist when defective pieces are least = 2   greatest chance = (18/20)= 
(18/20) = 9/10 = around 0.9
0.9   Answer: Option 0.9
Answer: E
The divisor is 25 times the quotient and 5 times the remainder, if the quotient is 16, the dividend is
Choose one
A) 6400
B) 6480
C) 400
D) 480
E) 520

Solution: Let the divisor be X   Given, Quotient = X/25   Remainder = X/5   X/25 = 16 ==> X = 25 * 16   Dividend = Divisor x Quotient + Remainder   = X * X/25 + X/5 = X/5(X/5 + 1)   = (16 * 25)/5 * (16 * 25/5 + 1)   = 80(80 + 1) = 81 * 80= 
81 * 80 = 6_480
6480   Answer 6480.
Answer: B
A company, Chauncy Co., has an annual travel budget of $56,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?  Choose the correct choice:
A) Expenses will not go over the budget. B) $500 C) $4,725 D) $5,725 E) $60,725

Solution: annual travel budget of $56,000   Let, Transportation expenses = T = 19500   and Non-Transportation expenses = N=35000   i.e. Increased Transportation expenses = 1.05T = 20475   and Increased Non-Transportation expenses = 1.15N = 40250   Total Expense = 20475+40250= 
20475+40250 = 60_725
60725   Expense over Budget= Budget - expense = 56000-60725 = 4725   Answer: Option $4,725
Answer: C
For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?	Choose the correct choice from the following.
A) 48  B) 49  C) 50  D) 51  E) 52

Solution: From first constraint   4n+7 > 1   4n> -6   n > -(3/2)   n> -1.5 (n = -1, 0, 1 ,2 3........ upto infinity)   From second constraint   4n+7 < 200   4n< 193   n < 48. 25   n = (-infinity, .......-3, -2, -1, 0, 1, 2, .........upto 48)   Combining the two   -1.5 < n<48.25   n = 1 to 48 (48 integers)   and n = -1 and 0   so 50 integers.   50 is the answer
Answer: C
Is triangle ABC obtuse angled?
1.a2 + b2 > c2.
2.The center of the circle circumscribing the triangle does not lie inside the triangle.  Choose the correct answer:
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.	B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.	C) BOTH statements (1) and (2) TOGETHER are sufficient but NEITHER statement ALONE is sufficient to answer the question asked.	D) EACH statement ALONE is sufficient to answer the question asked.	E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked; additional data specific to the problem is needed.

Solution: Statements together: a2 + b2 > c2   +   The center of the circle circumscribing the triangle does not lie inside the triangle.   From statement 2 we know that the triangle is not acute. Without knowing whether 'c' is the longest side, we will not be able to conclude whether the triangle is obtuse.   Choice Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked; additional data specific to the problem is needed.
Answer: E
23, 27, 36, 52,...
Choices:
A) 40
B) 24
C) 77
D) 36
E) 12

Solution: Explanation :   23   23+2^2=27   23+3^2=36   23+4^2=52   23+5^2=77   ANSWER:77
Answer: C
What is the rate percent when the simple interest on Rs.1600 amount to Rs.200 in 4 Years?
Pick:
A) 4% B) 3.125% C) 5% D) 6% E) 7%

Solution: Interest for 1 year = 200/4= 
200/4 = 50
50   Interest on Rs 1600 p/a= 50   interest rate = 50/1600*100= 
50/1600*100 = 25/8 = around 3.125
3.125%   Answer : 3.125%
Answer: B
The length of the bridge, which a train 130 metres long and travelling at 54 km/hr can cross in 30 seconds, is:
Options:
A) 200 m  B) 225 m  C) 320 m  D) 250 m  E) 240 m

Solution: Speed = [54 X 5/18] m/sec = [15/1] m/sec   Time = 30 sec   Let the length of bridge be x metres.   Then, (130 + x)/30 = 15 => (130 + x) = 450 => x = 450-130= 
450-130 = 320
320m   ANSWER:320 m
Answer: C
If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?
I. 1/8
II. 1/10
III. 1/9 Choose the correct answer.
A) None
B) I only
C) III only
D) II only
E) I, II, and III

Solution: Since we summarize the reciprocals from 100 to 91, we can say also that we add ten numbers who are all (with one exception 1/100) greater than 1/100, so that the sum must be greater than 1/10.   On the other side we can say that we add the reciprocals from 91 to 100, so that the sum has to be less than the sum of ten times 1/91.   We can conclude that the sum has to be less than 1/9 but more than 1/10. That leaves us II only as the only possible answer.
Answer: D
January 1, 2008 is Saturday. What day of the week lies on Jan 1, 2009?	Choose the most appropriate option.
A) Saturday	B) Wednesday	C) Thursday	D) Tuesday	E) Monday

Solution: Explanation:   Number of odd days in 2008 = 2 (since it is a leap year)   (we have taken the complete year 2008 because we need to find out the odd days from 01-Jan-2008 to 31-Dec-2008, that is the whole year 2008)   Given that January 1, 2008 is Saturday.   Hence January 1, 2009 = (Saturday+ 2 odd days) = Monday   Answer: Option Monday
Answer: E
Factor (x + 4)3 - 9x - 36 =	Select the correct option:  A) (x - 4)(x + 1)(x + 7)  B) (x + 6)(x + 2)(x + 9)  C) (x + 4)(x + 1)(x + 5)  D) (x + 4)(x + 1)(x + 7)  E) None

Solution: (x + 4)3 - 9x - 36=   (x + 4)3 - 9(x + 4)=   (x + 4)[(x + 4)2 - 9]=   (x + 4)(x + 4 - 3)(x + 4 + 3)=   (x + 4)(x + 1)(x + 7   Answer (x + 4)(x + 1)(x + 7)
Answer: D
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per
Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?  Choose the correct choice from the following answers.
A) 60 Kg  B) 63 kg  C) 58 Kg  D) 56 Kg  E) 66 Kg

Solution: Explanation :   Selling Price(SP) of 1 Kg mixture= Rs. 9.24   Profit = 10%   Cost Price(CP) of 1 Kg mixture= 100(100+Profit%)×SP=100(100+10)×9.24=100110×9.24=92.411=Rs.8.4   By the rule of alligation, we have   CP of 1 kg sugar of 1st kind CP of 1 kg sugar of 2nd kind   Rs. 9 Rs. 7   Mean Price   Rs.8.4   8.4 - 7= 
8.4 - 7 = 1.4
1.4 9 - 8.4= .6   ie, to get a cost price of 8.4, the sugars of kind1 and kind2 should be mixed in the   ratio 1.4 : .6 = 14 : 6 = 7 : 3   Let x Kg of kind1 sugar is mixed with 27 kg of kind2 sugar   then x : 27 = 7 : 3   ⇒x27=73⇒x=27×73=63   Answer : Option 63 kg
Answer: B
In a throw of a coin find the probability of getting a tail?  Choices:  A) 1/2  B) 1/3  C) 1/4  D) 2/5  E) 2/7

Solution: S = {H,T}   E = {T}   P(E) = 1/2   1/2nswer is 1/2
Answer: A
How many positive integers less than 160 are there such that they are multiples of 13 or multiples of 12 but not both?	Choose the most appropriate option:
A) 18  B) 19  C) 20  D) 23  E) 25

Solution: for 13: 13...160=13*12   for 12: 12...156=12*13   but there is one integer 13*12. so   N=(12-1)+(13-1)= 
(12-1)+(13-1) = 23
23   23
Answer: D
The area of a circle is increased by 800%. By what percent has the diameter of the circle increased?  Choose the correct option
A) 100%
B) 200%
C) 300%
D) 600%
E) 800%

Solution: A diameter of 2   it's radius = 1   it's area = (1^2)pi = 1pi   Answer A:   If we increase that diameter 100%, we have....   A diameter of 4   it's radius = 2   it's area = (2^2)pi = 4pi   This area has increased (4 pi - 1pi)/1pi = 3pi/1pi = 3 3  /1= 
3  /1 = 3
3= 300%   Answer B:   If we increase the diameter 200%, we have...   A diameter of 6   it's area = 3   it's area = (3^2)pi = 9pi   This area has increased (9pi - 1pi)/1pi = 8 pi/1pi = 8 = 800%   ANSW800%R:800%
Answer: E
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent? Choose the correct choice
A) 16 2/3%  B) 20%  C) 18%  D) 25%  E) 35%

Solution: Explanation:   900 ---- 180   100 ---- ? => 20%   ANSWER IS 20%
Answer: B
A certain list consists of 21 different numbers. If n is in the list and n is 6 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list? Select the correct option:
A) 1/20  B) 3/13  C) 1/5  D) 4/21  E) 5/21

Solution: series : a1, a2....a20,n   sum of a1+a2+...+a20 = 20*x (x = average)   so, n = 6*x   Hence, a1+a2+..+a20+n = 26x   So, the fraction asked = 6x/26x = 3/13   Answer 3/13
Answer: B
In a competitive examination batch A 7% candidates got selected from the total appeared candidates. Batch B also had an equal number of candidates appeared and 10% candidates got selected with 15 more candidates got selected than batch A. what was the number of candidates appeared from each batch?	Choose the correct choice from the following options:
A) 100 B) 360 C) 500 D) 240 E) 120

Solution: Explanation :   Solution: Let the number of candidates appeared from each batch be x.   then, 10% of x - 7% of x =15.   =>3% of x =15   =>3x/100 =15 => x =15*100/3= 
15*100/3 = 500
500   Answer : 500
Answer: C
One hundred gallons of fuel are purchased at $0.70 per gallon. The fuel is consumed at a rate of $0.40 worth of fuel per hour. At this rate, how many hours are required to consume the 100 gallons of fuel? Select.
A) 150	B) 175	C) 200	D) 225	E) 250

Solution: The fuel is consumed at this rate: $0.40/$0.70 = 4/7 gallons per hour.   The time it takes to consume 100 gallons is:  100 / (4/7)= 
 100 / (4/7) = 175
175 hours.   The answer is 175.
Answer: B
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?	Choose the correct choice from the following options:
A) 3.5	B) 3.9	C) 3.1	D) 4.5	E) 4.6

Solution: Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]   = 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.   Required average = (9.2 / 2) = 4.6.   4.6
Answer: E
A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream? Options.
A) 6	B) 8	C) 5	D) 7	E) 9

Solution: Speed downstream = d/t = 80/(2 1/2) = 32 kmph   Speed upstream = d/t = 45/(2 1/2) = 18 kmph   The speed of the stream = (32 - 18)/2= 
(32 - 18)/2 = 7
7 kmph   Answer: 7
Answer: D
20 men went to a restaurant. Ninteen of them paid Rs.70 each and the twentieth man paid Rs.90.25 more than the average of all the 20 men. What is the total bill ? Choose the most appropriate option
A) 1495
B) 1121
C) 1298
D) 1102
E) 1191

Solution: Let the average bill paid by twenty members = 'x'   But 19 men paid each = Rs. 70   20th man paid Rs. 90.25 more than the avg bill of 20 = x + 90.25   20x = 19(70) + x + 90.25   19x = 1330 + 90.25   19x = 1420.25   x = 1420.25/19 = Rs. 74.75   But the total bill = 20 x 74.75 = Rs. 1495   1495nswer: 1495
Answer: A
The average age of a husband and his wife was 23 years at the time of their marriage.After five years they have a one year old child.The average age of the family now is Choices:	A) 19 years	B) 23 years	C) 28.5 years	D) 29.3 years	E) 19.3 years

Solution: (h+w)/2 = 23 --> h+w = 46   after five years   H+W + C = 46+10+1= 
46+10+1 = 57
57   average age of family= 57/3= 
57/3 = 19
19   19 yearsNSWER:19 years
Answer: A
A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is one-half of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus?
Choose the correct choice from the following choices:
A) 700	B) 800	C) 900	D) 1000	E) 1100

Solution: total distance traveled = 1800 km.   distance traveled by plane = 600 km.   distance traveled by bus = x   distance traveled by train = x/2   x + x/2 + 600 = 1800   3x/2 = 1200   x = 800 km   The answer is 800.
Answer: B
The ages of two friends is in the ratio of 6:5.If the sum of their ages is 66. Then after how many years will the ratio become 7:6? Choose the correct choice from the following answers:
A) 5 B) 6 C) 8 D) 9 E) 10

Solution: the ratio of ages is 6:5 or we can say 6x and 5x   so , 6x+5x=66 (sum)   x=6   the ages are  6*6= 
 6*6 = 36
36 and   6*5= 
  6*5 = 30
30   let the years after which ratio will become 7:6 be y   36+y/30+y=7/6   the value of y will be 6   ANSWER:6
Answer: B
For integers U and V, when U is divided by V, the remainder is Zero. Which of the following must be true?
Choose the correct choice from the following answers:
A) U and V share no common factors other than 1 B) UV is odd. C) At least one of U and V is odd D) The sum U + V is odd E) U is odd

Solution: At least one of U and V is odd   At least one of U and V is odd
Answer: C
Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 5 : 1, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ? Options:	A) 1 : 1	B) 2 : 3	C) 5 : 2	D) 4 : 3	E) 7 : 9

Solution: Mixture A has a total of 5 + 3= 
5 + 3 = 8
8 parts. If in the final mixture this represents 4 parts, then the total number of parts in mixture B should be  (8/4)*3= 
 (8/4)*3 = 6
6.   So, we should take of mixture B a quantity with 5 and 1 parts, respectively.   This will give us in the final mixture (5 + 5) : (3 + 1), which means 10:4, or 5:2.   Answer 5 : 2.
Answer: C
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 60 and a standard deviation of 10, which of the following is exactly 1.75 standard deviations more than the mean?  Options:
A) a) 48
B) b) 60
C) c) 72
D) d) 77.5
E) e) 81

Solution: Standard Deviation is a relatively rare category in the Quant section, although you're like to be tested on it 1 time on Test Day. You'll never be asked to calculate SD though, so you really just need to learn the basic 'concepts' behind it.   Here, we're told two things about a group of numbers:   1) The average of the group is 60   2) The standard deviation of the group is 10   If you go 1 SDupfrom the average, you hit.....60+10 = 70   If you go 1 SDdownfrom the average, you hit.....60-10 = 50   If you go 2 SDsupfrom the average, you hit.....60+2(10) = 80   If you go 2 SDsdownfrom the average, you hit.....60-2(10) = 40   Etc.   Here, we're asked for the number that is EXACTLY 1.75 SDs above the mean....   1.75 Sd) 77.5supwould be.....60 + 1.75(10) = 77.5   d) 77.5
Answer: D
The number of female students in a college in the previous year was 450. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?  Choose the correct choice from the following answers.
A) 1500	B) 1800	C) 2100	D) 2400	E) 2700

Solution: Let x be the number of male students last year. The number of male students this year is 2x.   Let y be the number of female students this year.   x/450 = 2(2x/y)   y = 1800   The answer is 1800.
Answer: B
If a man crosses a 500 m long street in 5 minutes. What is his speed? Select.
A) 6 km/hr B) 7.1 km/hr C) 7.2 km/hr D) 8 km/hr E) 8.5 km/hr

Solution: distance = 500 meter   time = 5 minutes = 5 x 60 seconds = 300 seconds   Speed = distance/time=500/300=1.67m/s=1.67×18/5 km/hr=6 km/hr   6 km/hr
Answer: A
A train is 360 meter long is running at a speed of 60 km/hour. In what time will it pass a bridge of 140 meter length?	Choose the correct choice from the following answers
A) 27 seconds	B) 29 seconds	C) 40 seconds	D) 30 seconds	E) 12 seconds

Solution: Speed = 60 Km/hr = 60*(5/18) m/sec = 50/3 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= 30 secondsistance/speed   = 500 * (3/50)= 
500 * (3/50) = 30
30 seconds   Answer:30 seconds
Answer: D
How many three digit numbers can be formed in which if one digit is 3 then it must be follwed by 7 and repetetion of digits is not allowed Choose the correct answer:
A) 12  B) 13  C) 14  D) 15  E) 16

Solution: if 7 is to be followed by 3 , then the numbers will be either 37_ or _37.   for 37_ ,we have 370,371,372,374,375,376,378,379.   and for _37,we have 137,237,437,537,637,837,937.   therefore i think the answer is 15   ANSWER:15
Answer: D
a person travels from his house to office from 11:10 am to 12:10 am and covers a distence of 1km. find the average speed of the person. Answers:  A) 20.1km/h  B) 20.5km/h  C) 1km/h  D) 22.1km/h  E) 20.9km/h

Solution: time=12:10-11:10= 1hour   distance= 1km   speed=1*1= 
1*1 = 1
1km/h   ANSWER:1km/h
Answer: C
A man purchases two watches at 560. He sells one at 15% profit and other at 10% loss. Then he neither gains nor lose. Find the cost price of each watch.	Choose the correct option
A) 224, 300	B) 200, 300	C) 224, 336	D) 200, 336	E) None of these

Solution: Here, in whole transaction, there is neither gains nor loss, therefore,   Amount of gain in one watch = Amount of loss in other watch   ⇒ 0.15 × 224, 336P1 = 0.10 × 224, 336P2   ⇒ 224, 336P1/224, 336P2=0.10/0.15=23   Also 224, 336P1 + 224, 336P2 = 560   ∴ 224, 336P1 = 2/2+3×560=224   and 224, 336P2 = 560 – 224 = 336   Answer 224, 336
Answer: C
What is the slope of a line perpendicular to 2y = -6x - 10? Select the correct option.
A) 3  B) -3  C) -1  D) 1/3  E) -1/3

Solution: For lines to be perpendicular ,   slope of line 1 * slope of line 2 = -1   (-6/3) * (x) = -1   x = (1/3)   where x is slope of line 2   Ans - 1/3
Answer: D
A certain sum of money at simple interest amounted Rs.1023 in 12 years at 4% per annum, find the sum?
Choose the correct choice
A) 338 B) 689 C) 691 D) 646 E) 261

Solution: 1023 = P [1 + (12*4)/100]   P = 691   Answer:691
Answer: C
Raja spends 35% of his monthly income on household items, 20% of his monthly income on buying cloths, 5% of his monthly income on medicines and saves the remaining amount which is Rs. 15000. Find his monthly income.
Choose the correct choice from the following answers: A) Rs. 40000 B) Rs. 36000 C) Rs. 37500 D) Rs. 45000 E) None of these

Solution: Savings 40% - 15000   Expenditure 60 % - 22500   Total - 37500   Answer : Rs. 37500
Answer: C
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Choose the correct answer
A) 16 cm	B) 18 cm	C) 20 cm	D) 22 cm	E) 24 cm

Solution: 2(l + b)	=	5   b	1   2l + 2b = 5b   3b = 2l   b =	2	l   3   Then, Area = 216 cm2   l x b = 216   l x	2	l	= 216   3   l2 = 324   l = 18 cm.   18 cm
Answer: B
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?	Choose the most appropriate option.
A) 150 m  B) 180 m  C) 200 m  D) 240 m  E) 250 m

Solution: Speed =40 km/hr =40×(5/18)=(100/9) m/s Length of the train = (Speed x Time)   =(100/9*18)= 
(100/9*18) = 200
200 m   Answer: 200 m
Answer: C
Antonio works in a bakery. He made cookies that cost $1.50 and made $255. How many customer did he have?	Choose the correct choice from the following answers.
A) 200 customers B) 85 customers C) 250 customers D) 100customers E) 170 customers

Solution: A cookie costs $1.50 adding another one is $3. 255 divided by 3 is 85.85 x 2 is 170. He had 170 customers. The correct answer is 170 customers.
Answer: E
What approximate value should come in place of the question mark (?) in the following equation?40.75 Ã— 10.77 â€“ 18.75 Ã— 11.15 = (47 + ?) Ã— 4 Choose the correct choice.
A) 10.454
B) 11.454
C) 12.454
D) 14.454
E) 18.454

Solution: Solve using approximation   10.454nswer 10.454
Answer: A
If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 2 time the part of C .Find the ratio among their parts.  Choose the correct choice from the following options
A) 1:2:4	B) 4:2:1	C) 8:4:1	D) 2:4:1	E) 4:3:2

Solution: By the assumptions as mentioned we have A=2B and B=2C. So A=2(2C) and we get A=4C. We have, therefore, A:B:C = 4C:2C:C. By cancelling the ratio with C we have 8:4:1. The answer is, therefore, 4:2:1.
Answer: B