MU-NLPC/Calc-aqua_rat huggingface dataset:
A bowl contains pecans, cashews, and almonds in a ratio of 11 : 20 : 30, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10  Choices.
A) I,III only
B) I only
C) III only
D) II only
E) I,II only

Solution: i. The ratio 2 : 3 is the same as the given ratio 20 : 30. If one pecan were removed, the new ratio would be 10 : 20 : 30, or 1 : 2 : 3.   ii. None of the nuts currently have a ratio of 3 : 4. The cashews and almonds do have a ratio of 2 : 3, but there are not enough pecans in the bowl to complete the ratio.   iii. The ratio 4 : 10 is the same as the given ratio 6 : 15. To see this, multiply the ratio by 3/2 . The new ratio is 6 : 10.5 : 15. Unfortunately, this means that there are fewer cashews that this ratio would require. Removing cashews won’t create the desired ratio.   Answer : I only
Answer: B
John distributes his pencil among his 4friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 : 1/4 : 1/5 . What is the minimum no. of pencils that the person should have?
Choose the correct choice from the following answers:
A) 56  B) 65  C) 75  D) 77  E) 81

Solution: Rakesh : Rahul : Ranjan : Rohit = 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5   Step 1: At First we need to do is LCM of 2,3,4 and 5 is 60.   Step 2: Then pencil are distributed in ratio among friends,   Rakesh = ( 1 / 2 x 60 ) = 30.   Rahul = ( 1 / 3 x 60 ) = 20.   Ranjan = ( 1 / 4 x 60 ) = 15.   Rohit = ( 1 / 5 x 60 ) = 12.   Step 3: Total number of pencils are ( 30 x + 20 x + 15 x + 12 x) = 77 x.   For minimum number of pencils x = 1 .   The person should have atleast 77 pencils.   77)
Answer: D
For any number z, z* is defined as the greatest positive even integer less than or equal to z. What is the value of 5.2 – 5.2*?
Pick one:	A) 0.2	B) 1.2	C) 1.8	D) 2.2	E) 4.0

Solution: Since z* is defined as the greatest positive even integer less than or equal to z, then 5.2* = 4 (the greatest positive even integer less than or equal to 5.2 is 4).   Hence, 5.2 – 5.2* = 5.2 - 4= 
5.2 - 4 = 1.2
1.2   Answer: 1.2.
Answer: B
John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $40. What is the percent decrease? Select the correct option:
A) 20%
B) 30%
C) 40%
D) 70%
E) 60%

Solution: The is always the difference between our starting and ending points. In this case, it’s 100 – 40 = 60. The “original” is our starting point; in this case, it’s 100. (60/100)*100 = (0.6)*100= 
(0.6)*100 = 60
60%.   60%
Answer: E
Increasing the original price of a certain item by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by what percent?  Choose the correct option:  A) 31.25  B) 37.5  C) 50.0  D) 52.5  E) 44.0

Solution: We're told that the original price of an item is increased by 20% and then THAT price is increased by 20%....   IF....   Starting value = $100   + 20% = 100 + .20(100) = 120   + 20% = 120 + .20(120) = 120 + 24= 
120 + 24 = 144
144   The question asks how the final price relates to the original price. This is essentially about Percentage Change, which means we should use the Percentage Change Formula:   Percentage Change= (New - Old)/Old = Difference/Original   Doing either calculation will yield the same result:   44/100 = 44%   Final Answer:   44.0
Answer: E
The average age of a group of persons going for picnic is years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is Choose the correct choice from the following answers:
A) 5
B) 10
C) 20
D) 40
E) 50

Solution: Solution   Let the initial number of persons be x. Then   16x + 20 x 15 = 15.5(x+20)   = 0.5x = 10   x = 20.   Answer 20
Answer: C
X starts a business with Rs.45000. Y joins in the business after 4 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?	Options:
A) 1:2
B) 2:1
C) 1:3
D) 3:1
E) 9:4

Solution: 9:4xplanation:   Ratio in which they should share the profit   = Ratio of the investments multiplied by the time period   =45000Ã—12:30000Ã—8   =45Ã—12:30Ã—8   =3Ã—12:2Ã—8   =9:4   Answer: Option 9:4
Answer: E
There are 80 coins, among them one coin weighs less compared to other. You are given a physical balance to weigh. In how many weighing the odd coin can be found.	Choose the correct choice from the following options.
A) 3  B) 5  C) 6  D) 7  E) 4

Solution: 80 divide as   27 27 26   9 9 9   3 3 3   1 1 1   so weighings are 4   ANSW4R:4
Answer: E
What is the compound interest paid on a sum of Rs.3000 for the period of 2 years at 10% per annum.	Choices.
A) 630
B) 620
C) 610
D) 600
E) None of these

Solution: Solution= Interest % for 1st year= 10   Interest % for 2nd year= 10+ 10% of 10= 10+ 10 *10/100= 
10+ 10 *10/100 = 11
11   Total % of interest= 10 + 11= 
10 + 11 = 21
21   Total interest= 21 % 3000= 3000 * (21/100)= 
3000 * (21/100) = 630
630   630nswer 630
Answer: A
A pair of articles was bought for $50 at a discount of 50%. What must be the marked price of each of the article?	Pick:
A) $25  B) $12.50  C) $29.65  D) $35.95  E) $45.62

Solution: S.P. of each of the article = 50/2= 
50/2 = 25
$25   Let M.P= $x   50% of x = 25   x = 25*.5= 
25*.5 = 12.5
$12.50   Answer is $12.50
Answer: B
The G.C.D. of 1.08, 0.36 and 0.9 is?
Choices:
A) 0.03
B) 0.9
C) 0.18
D) 0.108
E) none of these

Solution: Given numbers are 1.08,0.36 and 0.90.   H.C.F of 108, 36 and 90 is 18   H.C.F of given numbers=0.18.   0.18orrect Options:0.18
Answer: C
A certain no. when divided by 35leaves a remainder 25, what is the remainder if the same no.be divided by 15?  Choose the correct answer:
A) 3
B) 4
C) 6
D) 8
E) 9

Solution: Explanation:   35 + 25= 
35 + 25 = 60
60/15= 
60/15 = 4
4 (Remainder)   4
Answer: B
x^2 + qx + 72 = 0 has two distinct integer roots; how many values are possible for q? Choose the correct option
A) 3	B) 6	C) 8	D) 12	E) 24

Solution: For a quadratic equation ax^2+qx+c=0, we know that -q/a is sum of roots and c/a is product of roots.   The quadratic equation here is x^2 + qx + 72 = 0, where product of roots is 72.   If we find all the factors of 72, we have the answer.   By prime factorization, we get 72= 2^3*3^2.   We know that total factors are  (3+1)*(2+1)= 
 (3+1)*(2+1) = 12
12 (Reason: with 2^n, we have n+1 possibilities. n^0 to n^n. so n+1)=12
Answer: D
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:	Choose the correct choice from the following answers:  A) 22  B) 24  C) 77  D) 26  E) 81

Solution: Explanation:   Let the ten's and unit's digit be x and 8/x respectively.   Then,   (10x + 8/x) + 18 = 10 * 8/x + x   9x2 + 18x - 72 = 0   x2 + 2x - 8 = 0   (x + 4)(x - 2) = 0   x = 2   So, ten's digit = 2 and unit's digit = 4.   Hence, required number = 24.   Answer: 24
Answer: B
speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour? Pick one.
A) 10 min	B) 20 min	C) 25 min	D) 30 min	E) 40 min

Solution: speed of the bus excluding stoppages = 54 kmph   speed of the bus including stoppages = 45 kmph   Loss in speed when including stoppages = 54 - 45= 
54 - 45 = 9
9kmph=> In 1 hour, bus covers 9 km less due to stoppages   Hence, time that the bus stop per hour = time taken to cover 9 km   =distancespeed=954 hour=16 hour = 606 min=10 min   10 min
Answer: A
Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $35.19. How much did the meal cost without the tip? Select the correct option:
A) $28.98 B) $29.91 C) $30.15 D) $30.60 E) $30.85

Solution: The tip is a percent increase of 15%, which is 115%. Let x equal the price before the tip.   Thus, 115% of this price equals $35.19:   1.15x = 35.19   $30.60ivide both sides by 1.15:=>x=35.19/1.15= 
35.19/1.15 = 30.6
30.60   correct answer $30.60)$30.60
Answer: D
A rocket soars for 12 seconds at 150 meters per second. It then plummets 600 meters in 3 seconds. What is the average speed of the rocket in meters per second?	Choose the correct option.
A) 140 B) 150 C) 155 D) 160 E) 175

Solution: When soaring, the rocket travels a total distance of 1800m(150m/s for 12s)   While plummeting the rockets travel distance of 600m in 3s   The total distance traveled is 2400m(1800 + 600)   The time taken to travel this distance is 15s(12 + 3)   Average speed = 2400/15= 
2400/15 = 160
160   ANS: (Option 160)
Answer: D
12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.
Select
A) 360 B) 384 C) 432 D) 470 E) 480

Solution: First of all, I think the question means that "the chairs numbered 1 AND 8 should be occupied".   So, we have that the chairs numbered 1 AND 8 should be occupied and no two adjacent chairs must be occupied. Notice that chairs #2, 7, and 9 cannot be occupied by any of the men (because no two adjacent chairs must be occupied.).   1-2-3-4-5-6-7-8-9-10-11-12   If the third man occupy chair #3, then the fourth man has 5 options: 5, 6, 10, 11, or 12;   If the third man occupy chair #4, then the fourth man has 4 options: 6, 10, 11, or 12;   If the third man occupy chair #5, then the fourth man has 3 options: 10, 11, or 12;   If the third man occupy chair #6, then the fourth man has 3 options: 10, 11, or 12;   If the third man occupy chair #10, then the fourth man has 1 options: 12.   Total of 5+4+3+3+1= 
5+4+3+3+1 = 16
16 cases. For each case the 4 men can be arranged in 4! ways, thus the total number of arrangements is 16*4!=384.   Answer: 384.
Answer: B
How many ways someone can make with 8 shirts and 6 pants?
Choose the correct choice from the following answers
A) 50 B) 45 C) 55 D) 52 E) 48

Solution: If you can only wear one shirt and one pair of pants, then you can make  8*6= 
 8*6 = 48
48 combinations.   Answer:48
Answer: E
Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes K, each draining water at the same constant rate, will be needed to drain the pool in 4 days? Choose the most appropriate option.
A) 6
B) 9
C) 10
D) 12
E) 15

Solution: This is an inverse proportional problem......   5 pipes in 12 days; So for 4 days, it will be = 12 x 5 / 4 = 15   So, K=15-5 = 10.10
Answer: C
a 50 is divided in two parts in such a way its reciprocal is 1/12.find the no?	Choose the correct choice from the following options
A) 20,30 B) 20,40 C) 20,10 D) 30,10 E) 30,40

Solution: 1/x + 1/(50-x) = 1/12   => (x^2-50x+600) = 0   => (x-20)(x-30) = 0   => x = 20,30   numbers are 20,30.   20,30NSWER:20,30
Answer: A
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. An ellipse has a center at (0, 0) and minor/major axes lengths of 1, 4, respectively. Some points, such as the center (0, 0), are inside the ellipse, but a point such as (0, 2) is on the ellipse but not in the ellipse. How many lattice points are in the ellipse?	Choose the correct choice from the following choices:
A) 26
B) 23
C) 5
D) 4
E) 7

Solution: The lattice points that are in the ellipse, that lie on the x axes, are (0, 0), (0, 1), (0, 2), (0, 3), (0, -1), (0, -2), and (0, -3). There are no other points in the ellipse. The only point on y axis in the ellipse is the center which we counted already.   There are a total of 7 lattice points in the circle.   Answer: 7
Answer: E
If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?	Select the correct option:
A) 4x + 6y
B) x + y + 4
C) 4x - 9y
D) 9x + 4y
E) x + y - 4

Solution: By hit and trial, we put x = 5 and y = 1 so that (3x + 7y) = (3 x 5 + 7 x 1) = 22, which is divisible by 11.   (4x + 6y) = ( 4 x 5 + 6 x 1) = 26, which is not divisible by 11;   (x + y + 4 ) = (5 + 1 + 4)= 
(5 + 1 + 4) = 10
10, which is not divisible by 11;   (9x + 4y)= (9 x 5 + 4 x 1) = 49, which is not divisible by 11;   (4x - 9y) = (4 x 5 - 9 x 1) = 11, which is divisible by 11.   correct answer 4x - 9y
Answer: C
In the graph below, no axes or origin is shown. If point B's coordinates are (10,4), which of the following coordinates would most likely be A's?	Choose the correct option.
A) (17, -2)
B) (10, 6)
C) (6, 8)
D) (-10, 3)
E) (-2, -17)

Solution: wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 10.   (10, 6) rules..
Answer: B
A man buys an article and sells it at a profit of 10%. If he had bought it at 10% less and sold it for Rs.55 less, he could have gained 15%. What is the cost price?	Choose the correct choice from the following options.
A) 197 B) 375 C) 846 D) 278 E) 268

Solution: 846P1 = 100 SP1 = 110   846P2 = 90 SP2 = 90 * (115/100)= 
90 * (115/100) = 207/2 = around 103.5
103.5   6.5 ----- 100   55 ----- ?=> 846   Answer:846
Answer: C
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 3000 more than D, what is B's share? Options
A) A)8239	B) B)2900	C) C)6000	D) D)2393	E) E)2009

Solution: Let the shares of A, B, C and D be 5x, 2x, 4x and 3x Rs. respectively.   Then, 4x - 3x = 3000 => x = 3000.   B's share = Rs. 2x = 2 * 3000 = Rs. 6000.   Answer: 6000
Answer: C
If 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½ is blue find the total length of the pencil?  Options:  A) 9  B) 5  C) 7  D) 8  E) 4

Solution: Let the total length be xm   Then black part =x/8cm   The remaining part=(x-x/8)cm=7x/8cm   White part=(1/2 *7x/8)=7x/16 cm   Remaining part=(7x/8-7x/16)=7x/16cm   7x/16=7/2   x=8cm   Answer is 8.
Answer: D
The volume of a cube is 3375 cc. Find its surface.	Choose the correct answer.
A) 1350
B) 1150
C) 1456
D) 1254
E) 1489

Solution: a3 = 3375 => a = 156a2 = 6 * 15 * 15= 
6 * 15 * 15 = 1_350
13501350nswer: 1350
Answer: A
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?  Choose the correct option.
A) 1.5	B) 1.8	C) 1.2	D) 1.1	E) 1.9

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   1.5nswer:1.5
Answer: A
(1/3) of a number is 5 more than the (1/6) of the same number? find the no.  Answers:
A) 6	B) 36	C) 30	D) 72	E) 62

Solution: x/3=5+x/6   x/3-x/6=5   x/6=5   x=30   ANSWER:30
Answer: C
The product of a positive integer x and 377,910 is divisible by 3,300, then the least value of x is:	Choose the correct choice from the following options:
A) 10 B) 11 C) 55 D) 110 E) 330

Solution: 377,910 = 3 * 3 * 10 * 4199   3,310 = 3 * 10 *10 * 11   So, x must have 10 and 11 as factors.   --> Least value of x is 110.   Answer:110
Answer: D
Using all the letters of the word "BETA", how many words can be formed, which begin with B and end with A? Pick:
A) 5  B) 6  C) 8  D) 9  E) 2

Solution: There are five letters in the given word.   Consider 4 blanks ....   The first blank and last blank must be filled with B and A all the remaining three blanks can be filled with the remaining 2 letters in 2! ways.   The number of words = 2! = 2.   Answer: 2
Answer: E
A wheel of a car of radius 21 cms is rotating at 400 RPM. What is the speed of the car in km/hr? Choose the correct choice from the following choices
A) 79.2 km/hr	B) 47.52 km/hr	C) 7.92 km/hr	D) 31.68 km/hr	E) 3.96 km/hr

Solution: Explanatory Answer   The radius of the wheel measures 21 cm.   In one rotation, the wheel will cover a distance which is equal to the circumference of the wheel.   ∴ in one rotation this wheel will cover 2 * π * 21 = 132 cm.   In a minute, the distance covered by the wheel = circumference of the wheel * rpm   ∴ this wheel will cover a distance of 132 * 400= 
132 * 400 = 52_800
52800 cm in a minute.   In an hour, the wheel will cover a distance of 52600 * 60= 3168000 cm.   Therefore, the speed of the car = 3168000 cm/hr = 31.68 km/hr   Choice 31.68 km/hr is the correct answer.
Answer: D
If 2.5 of a number is equal to 0.75 of another number, the ratio of the numbers is :  Choose the correct choice from the following choices:
A) 2 :3	B) 3 :4	C) 3:10	D) 20 : 3	E) 30:7

Solution: 2.5A = 0.75B   -> A/B = 0.75/2.5 = 75/250 = 3/10   :. A : B = 3 : 10   ANSWER:3:10
Answer: C
One-third of 600 is what percent of 120 ?
Select
A) 313.2 B) 30.1 C) 12.24 D) None of these E) 166.6

Solution: Answer   Let one-third of 600 is N% of 120.   ∵ 600/3 = (N x 120)/100   ∴ N = (200x 100) / 120 = 166.6   Correct Option: 166.6
Answer: E
If 15 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days? Choose the correct option.
A) 127  B) 240  C) 287  D) 450  E) 281

Solution: Explanation:   Let the required no of hectares be x. Then   Men --- Hectares---Days   15---------80---------24   36---------x---------30   More men, More hectares (Direct proportion)   More days, More hectares (Direct proportion)   x=36/15*30/24*80= 
36/15*30/24*80 = 240
240   Answer: 240
Answer: B
A train running at the speed of 108 km/hr crosses a pole in 7 seconds. Find the length of the train. Choices
A) 150 meter
B) 145 meter
C) 140 meter
D) 135 meter
E) 210 meter

Solution: 210 meterxplanation:   Speed = 108*(5/18) m/sec = 30 m/sec   Length of Train(Distance) = Speed * Time   =30*7= 
30*7 = 210
210 meter   Option 210 meter
Answer: E
A case contains c cartons. Each carton contains b boxes, and each box contains 600 paper clips. How many paper clips are contained in 2 cases?  Answers: A) 600bc B) 600b/c C) 1200bc D) 1200b/c E) 1200/bc

Solution: 2 cases * c cartons/case * b boxes/carton * 600 clips/box = 1200bc paper clips   The answer is 1200bc.
Answer: C
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Choose the most appropriate option
A) 1/13
B) 3/13
C) 1/4
D) 9/52
E) 8/52

Solution: there are only 4 jack in 52 cards so selecting 1 is done in 4c1=4   4 queens selecting 1 is done in 4c1=4   4 kings selecting 1 is done in 4c1=4   total selecting 1 card from 52 cards is 52c1   4+4+4/52   12/52   3/13   ANSWER:3/13
Answer: B
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 3 days at a time. If A starts they finish the task in exactly 9 days. If B starts, they take a day more. How long does it take to complete the task if they both work together? Pick one:	A) 8	B) 6	C) 4	D) 5	E) 9/2

Solution: Work done by AB in a day = xy respectively.   When A starts:   No. of days when A works = 6No. of days when B works = 3 → 6x + 3y = 1   When B starts:   No. of days when A works = 4 No. of days when A works = 5 → 5x + 4y = 1   Solving the above two equations for xy   x = 1/9 y = 1/9   → Total work done by AB in a day = 1/9 + 1/9 = 2/9   → No. of days to complete the work when both work together = 9/2;   Answer: 9/2
Answer: E
Suraj has a certain average of runs for 14 innings. In the 15th innings he scores 140 runs thereby increasing his average by 8 runs. What is his average after the 15th innings? Choose the correct choice
A) 48 B) 28 C) 36 D) 72 E) 27

Solution: To improve his average by 8 runs per innings he has to contribute 14 x 8 = 112 runs for the previous 14 innings.   Thus, the average after the 15th innings   = 140 - 112= 
140 - 112 = 28
28.   ANSWER:28
Answer: B
Total natural no. from 11 to 90 which is divisible 7.  Options:
A) 9  B) 10  C) 11  D) 12  E) 13

Solution: these no. are 14,21,28,35,...,84.   these are in a.p series where a=14,d=(21-14)= 
(21-14) = 7
7,l=84   let these no. are n   nth no. =a+(n-1)d=14+(n-1)*7=(7n+7)   7n+7=84,n=11.   answer 11
Answer: C
When 17 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?
Choose the correct choice from the following answers:  A) 1  B) 2  C) 3  D) 4  E) 5

Solution: This means that 14 must be a multiple of k.   The factors of 14 are 1, 2, 7, and 14.   Out of these, k can be 7 and 14.   The answer is 2.
Answer: B
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 123 hours, it must travel at a speed of:	Choose the correct choice
A) 234
B) 377
C) 720
D) 378
E) 268

Solution: Speed and time are inversely proportional ⇒Speed ∝ 1Time (when distance is constant)   Here distance is constant and Speed and time are inversely proportionalSpeed ∝ 1Time⇒Speed1Speed2=Time2Time1⇒240Speed2=(123)5⇒240Speed2=(53)5⇒240Speed2=13⇒Speed2=240×3   =720 km/hr   Answer : 378
Answer: D
A computer factory produces 8400 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Options:	A) 2.25.	B) 3.125.	C) 4.5.	D) 5.225.	E) 6.25.

Solution: Number of hours in 28 days = 28*24   Number of 30 mins in 28 days = 28*24*2   Number of computers built every 30 mins = 8400/( 28*24*2)= 
8400/( 28*24*2) = 25/4 = around 6.25
6.25   Answer 6.25.
Answer: E
What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum ?
Select the correct option.
A) Rs. 112  B) Rs. 118.80  C) Rs. 120  D) Rs. 122  E) None

Solution: Solution   Let the present worth be Rs. x. Then, S.I. = Rs. (132 - x).   ∴ (x 5 x 2 /100)=132 - x =10x = 13200 - 100x= 110x = 13200 = x = 120.   Answer Rs. 120
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train. Pick.
A) 150
B) 180
C) 190
D) 170
E) 169

Solution: Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (Distance) = Speed * Time     (50/3) * 9= 
  (50/3) * 9 = 150
150 meter   150nswer: Option 150
Answer: A
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 7.5), (8, 0), (0, -7.5), (-8, 0)? Choose the most appropriate option.
A) 56 B) 88 C) 112 D) 116 E) 120

Solution: Ares of rhombus= 1/2* D1 *D2   Length of 1st diagonal = 8+8= 
8+8 = 16
16   Length of 2nd diagonal= 7.5+7.5= 
7.5+7.5 = 15
15   Area= 1/2*16*15= 
1/2*16*15 = 120
120   120 is the answer
Answer: E
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is  Options.
A) 289	B) 231	C) 200	D) 288	E) 111

Solution: Explanation:   Let C.P. be Rs. x.   Then, 5% of x = 350 - 340= 
350 - 340 = 10
10   x/20= 10 => x = 200   Answer: 200
Answer: C
The sum of 1 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?	Options.
A) 5%  B) 10%  C) 15%  D) 20%  E) 25%

Solution: Since the question is asking for an approximate percentage   1:45+2:55 ~ 5 hours   % of day = 5*100/24 ~ 5*100/25= 
5*100/25 = 20
20%   Answer is 20%.
Answer: D
15! is equal to which of the following?  Choose the correct choice from the following.
A) 1,307,674,368,000 B) 1,307,674,368,242 C) 1,307,674,368,356 D) 1,307,674,368,825 E) 1,307,674,368,624

Solution: After 4!, the units digit of every factorial is 0.   5!=120   6!=720   etc...   The answer is 1,307,674,368,000.
Answer: A
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.400 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?  Choose the correct choice: A) 3999 B) 7799 C) 2500 D) 5000 E) 2912

Solution: A:B:C = 2/3:1/6:1/6 = 4:1:1   x * 2/100 * 2/3 = 400   B capital = 30000*1/6= 
30000*1/6 = 5_000
5000.Answer: 5000
Answer: D
Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?
Choose the correct option:	A) 18	B) 12	C) 24	D) 36	E) 42

Solution: let a=amount of 2% acid and b= amount of 12% acid.   Now, The equation translates to,   0.02a + .12b = .1(a+b)   but a+b= 60   therefore .02a + .12b = .1(60)   => 2a + 12b = 600   but b=60-a   therefore   2a+ 12(60-a) = 600   => 10a = 120   hence a = 12.   Answer : 12
Answer: B