MU-NLPC/Calc-aqua_rat huggingface dataset:
The area of a square is 625 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 20 cm less than the side of the square.	Choose the correct choice from the following choices:  A) 5 : 12  B) 5 : 13  C) 2:9  D) 1:15  E) 1:5

Solution: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.   a2 = 625   a = 25   L = 3a and b = a - 20   b : l = a - 20 : 3a = 5 : 75 = 1:15   Answer: 1:15
Answer: D
If x*y = xy – 2(x + y) for all integers x and y, then 3* (–3) =  Choose the correct choice from the following options.
A) –16  B) –9  C) –4  D) 4  E) 16

Solution: 3*(-3) = 3*(-3) - 2 (3 + (-3) ) = -9 -0 = -9   Option (–9)
Answer: B
If 32 men and 24 days can reap a field in 9 days in how many days will 28 men and 12 boys reap it supposing that 4 men can do as much as 6 boys?	Choices:
A) 20 days  B) 30 days  C) 12 days  D) 24 days  E) 25 days

Solution: Explanation:   (32m+24b)9=(28m+12b)x   [Since 24b(6 * 4)b   => 6 boys = 4 men   => 24 boys = 16 men]   (32m+16m)9=(28m+8m)x   [since 4 men = 6 boys]   48m*9/36m = 12 days   Answer: Option 12 days48 *9/36= 
48 *9/36 = 12
12 days   Answer: Option 12 days
Answer: C
If a(a - 9) = 10 and b(b -9) = 10, where a ≠ b, then a + b = Choose one.
A) −48	B) −2	C) 2	D) 9	E) 48

Solution: i.e. if a = -1 then b = 10   or if a = 10 then b = -1   But in each case a+b = -1+10= 
-1+10 = 9
9   Answer: option 9
Answer: D
In how many different ways can 5 boys and 3 girls sit on a bench such that the girls always sit together? Choose the correct choice from the following choices:
A) 360	B) 720	C) 1440	D) 4320	E) 5040

Solution: We can think of the girls as one unit.   The number of ways to arrange 6 units in order is 6!   The girls can have different arrangements, so we multiply this by 3!   The number of ways to sit is 6!*2!=4320   The answer is 4320.
Answer: D
If a and b are positive integers such that a/b = 4.88, which of the following must be a divisor of a
Choices.
A) 3  B) 4  C) 11  D) 12  E) 13

Solution: a/b = 4.88   a/b = 488/100   a/b = 244/50   a = 244/50*b   We require to find from the available 5 options that must be a divisor of a"   This also means which of the following 5 options can divide 143 evenly   (Ignore b as its value unknown; Ignore 50 as in denominator)   Only option 4 = 4 best fits in   Answer = 4   ANSWER:4
Answer: B
There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Re 1. Find the original expenditure of the mess.
Choose the correct choice from the following options
A) Rs. 480	B) Rs. 520	C) Rs. 420	D) Rs. 460	E) None of these

Solution: Let d be the average daily expenditure   Original expenditure = 35 × d   New expenditure = 35 × d + 42   New average expenditure will be :   (35 × d + 42)/42 = d - 1   On solving, we get d = 12   Therefore original expenditure = 35 × 12 = 420   Answer: Rs. 420
Answer: C
What is the remainder when 1274 * 1275 * 1277 *1285 is divided by 12?	Choose the correct choice from the following choices:
A) 0
B) 6
C) 11
D) 9
E) 7

Solution: 1271*1275*1277*1285 = (1272 - 2)(1272 + 3)(1284 - 7)(1284 + 1) = (multiple of 12 - 1)(multiple of 12 + 3)(multiple of 12 - 7)(multiple of 12 + 1)   Now, if we expand this expression all terms but the last one will have a multiple of 12 in them, thus will leave no remainder upon division by 12, the last term will be (-2)(3)(-7)(1) = 42. Thus the question becomes: what is the remainder upon division of 42 by 12? The answer to this question is 6.   Answer: 6
Answer: B
A box contains seven bulbs out of which 3 are defective. If three bulbs are chosen at random, find the probability that all the four bulbs are defective?  Select: A) 1/35 B) 1/12 C) 1/18 D) 1/198 E) 1/126

Solution: Out of seven, four are good and three are defective. Required probability   = 3C3/7C3   = 1/35   1/35nswer: 1/35
Answer: A
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 4 days ?  Options:
A) X-1/8	B) X-1/16	C) X/8	D) X/16	E) X/32

Solution: LET NO OF LEAVES IX X ..IST DAY X/2 ..2ND DAY X/4 ..3RD DAY X/8 , FOURTH DAY X/16 , 5TH DAY X/32 , 6TH DAY X/64 SO ON SO FOURTH.   FINALLY ON LEAVE WILL X-1/16E LEFT ..SO ON 3RD DAY LEAVE LOST IS X-1/16 ANSWER X-1/16
Answer: B
The sum of four consecutive odd numbers is equal to the sum of 3 consecutive even numbers. Given that the middle term of the even numbers is greater than 101 and lesser than 204, how many such sequences can be formed?	Choose the correct choice from the following
A) 25
B) 17
C) 26
D) 33
E) 50

Solution: Four consecutive odd numbers: k-2, k, k+2, k+4   Three consecutive even numbers: n-2, n, n+2   k-2+k+k+2+k+4=n-2+n+n+2   4k+4=3n   4(k+1)=3n   k+1=(3/4)n   k=(3/4)n-1   All n's that's divisible by 4 will have an integral k. So, we need to find out how many such n's are available within given range:   We know,   101<n<204   104<=n<=200   Count=(200-104)/4+1=96/4+1=24+1= 
24+1 = 25
25   25ns: 25.
Answer: A
A sum of Rs.1480 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls  Options
A) 8B, 5G  B) 5B, 8G  C) 4B, 9G  D) 9B, 4G  E) 9B, 5G

Solution: 120B+100G=1480-----i   B+G=13-------ii   from i   100B+20B+100G=1480   100(B+G)+20B=1480   100(13)+20B=1480   By simplifing we get   B=9;G=4   ANSWER:9B, 4G
Answer: D
An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 56$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold? Choose the correct choice from the following choices:
A) 52
B) 75
C) 60
D) 136
E) 184

Solution: w1/w2 = (A2 - Aavg)/(Aavg - A1) = (56 - 40)/(40 - 36) = 16/4= 
16/4 = 4
4/1= Number of MicroTron stocks/Number of Dynaco stocks   So for every 4 MicroTron stock, she sold 1 Dynaco stock.   So out of 300 total stocks, (1/5)th i.e. 300/5 = 60 must be Dynaco stock.   Answer (60)
Answer: C
The ratio of men to women in the Snyder community choir is 6 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many men are in the Snyder choir?
Pick:
A) 20 B) 22 C) 32 D) 36 E) 34

Solution: This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly.   We're told that the ratio of the Men to Women in the Snyder choir is 6 to 5, so the number of men MUST be a multiple of 4 and the number of women MUST be a multiple of 6 The question asks how many MEN are in the SNYDER choir, so the answer MUST be a multiple of 6.. We can eliminate Answers B,A, C and E (since they're NOT multiples of 6.   Answer 36
Answer: D
When 1/10 percent of 5,000 is subtracted from 1/10 of 5,000, the difference is	Options:
A) 0  B) 50  C) 450  D) 495  E) 500

Solution: 1/10 of 5,000 is 500;   1/10 percent of 5,000 is 100 times smaller than the above, so it's 5;   Thus the difference is 500-5= 
500-5 = 495
495.   Answer: 495.
Answer: D
What is the sum of all digits for the number 10^26 - 51? Answers:
A) 199  B) 209  C) 219  D) 229  E) 239

Solution: 10^26 is a 27-digit number: 1 followed by 26 zeros.   10^26 - 51 is a 26-digit number: 24 9's and 49 at the end.   The sum of the digits is  24*9+4+9= 
 24*9+4+9 = 229
229.   The answer is 229.
Answer: D
If the wheel is 15 cm then the number of revolutions to cover a distance of 1540 cm is?	Choose the correct choice from the following answers.
A) 11 B) 14 C) 18 D) 12 E) 16

Solution: 2 * 22/7 * 15 * x = 1540 => x = 16   Answer: 16
Answer: E
John started driving on a highway at a constant speed of R miles per hour at 13:00. Then, 2 hours later, Tom started driving on the same highway at a constant speed of 3R/2 miles per hour at 15:00. If both drivers maintained their speed, how many miles had John driven on the highway when Tom caught up with John?  Answers
A) 6R B) 7R C) 8R D) 9R E) 10R

Solution: In 2 hours, John drove 2R miles.   Tom can catch John at a rate of 3R/2 - R = R/2 miles per hour.   The time it takes Tom to catch John is 2R / (R/2) = 4 hours.   In 4 hours, John can drive another 4R miles for a total of 6R miles.   The answer is 6R.
Answer: A
If the cost price is 96% of sp then what is the profit %	Select the correct option.
A) 4.07%
B) 4%
C) 4.7%
D) 4.17%
E) 4.27%

Solution: Sol. sp=Rs100 : then cp=Rs 96:profit =Rs 4.   Profit={(4/96)*100}%=4.17%   Answer is 4.17%.
Answer: D
Two trains 131 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choose the correct choice from the following:
A) 7.16
B) 7.16
C) 7.12
D) 7.35
E) 7.11

Solution: T = (131 + 165)/ (80 + 65) * 18/5   T = 7.35   Answer: 7.35
Answer: D
A factory has a fixed cost of $55,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly? Options
A) 9,000 B) 14,000 C) 18,000 D) 22,000 E) 27,000

Solution: selling price - Cost price = 2.5 so per unit profit =2.5   cost to recover =55000   no of items required = 55000/2.5= 
55000/2.5 = 22_000
22000   Ans 22,000
Answer: D
What is the greatest value of positive integer x such that 2^x is a factor of 100^60? Choose the correct choice from the following answers.
A) 100  B) 110  C) 120  D) 105  E) 115

Solution: Put in simple words, we need to find the highest power of 2 in 100^60   100 = 2^2*5^2   Therefore 100^60 = (2^2*5^2)^60 = 2^120*5^120   Answer : 120
Answer: C
What is the difference between the place value and the face value of 8 in the numeral 296487?	Choose the correct choice from the following choices: A) None of these B) 82 C) 78 D) 52 E) 72

Solution: 72xplanation:   Place value of 8 = 80   Face value of 8 = 8   Difference = 80 - 8= 
80 - 8 = 72
72   Answer: 72
Answer: E
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?	Choose the correct choice from the following options:  A) 27  B) 29  C) 30  D) 20  E) 24

Solution: US = 25   DS = 35   M = (35 + 25)/2= 
(35 + 25)/2 = 30
30   Answer:30
Answer: C
There are, in a certain league, 20 teams, and each team face another team for a total of 10 times. How many games are played in the season?  Choose the correct choice.
A) 1900	B) 3600	C) 2400	D) 180	E) 5400

Solution: 1st team:190   2nd team:180   3rd team :170   Similarly the last team will play 0   therefore(190+180+170....10)   10(19+18+17+16....1)   10 (n(n+1)/2)=10(19*20/2)=1900   1900NSWER:1900
Answer: A
Jim takes a seconds to swim u meters at a constant rate from point P to point Q in a pool. Roger, who is faster than Jim, can swim the same distance in v seconds at a constant rate. If Jim leaves point P the same time that Roger leaves point Q, how many fewer meters will Jim have swum than Roger when the two swimmers pass each other?
Choose the most appropriate option:
A) c(v-u)/ (v+U)  B) c(a-b)/a+b  C) c(a+b)/a-b  D) ab(a-b)/a+b  E) ab(b-a)/a+b

Solution: Both JimRoger are travelling at constant speedin opposite direction: and c is the distance   So, speed of Jim = c/u speed of Roger = c/v   Let say Jim travelled distance x from P where it met Roger, it means that Roger travelled (c-x) from point Q   [x would be less than (c-x) as Jim is travelling slow]   From above, time taken by Jim to travel x = xu/c....................... (1)   Also, time taken by Roger to travel (c-x) = (c-x)v/c.....................(2)   Time taken by both JimRoger is same, so (1) = (2)   xu/c = (c-x)v/c,   Solving further, x = vc/(u+v).................... (3)   We require to find how many fewer meters will Jim have swum i.e   additional distance travelled by Roger = (c - x) - x   = c-2x   Substituting value of x from (3)solving the equation further, we get c(v-u)/ (v+U)nswer = c(v-u)/v+u   c(v-u)/ (v+U)nswer = (c(v-u)/ (v+U))
Answer: A
There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in:
Choose the correct choice from the following choices:
A) 10 ways  B) 30 ways  C) 60 ways  D) 80 ways  E) None

Solution: Solution:   3 prize among 5 students can be distributed in,   5C3 ways = 10 ways.   10 waysnswer: Option 10 ways
Answer: A
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
Choices
A) 24008
B) 24000
C) 24005
D) 24009
E) 24002

Solution: Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6   Total profit = Rs. 52000   Share of B = 6/13 (52000) = Rs. 24000   Answer: 24000
Answer: B
On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. The total of the combined salaries of all the employees at Company E after July 1 last year was what percent of that before July 1 last year?	Choose the correct choice from the following answers:
A) 90%  B) 99%  C) 100%  D) 101%  E) 110%

Solution: Let the number of employees before Jul 1 be 100   Then Av sal1 = Total1/100   After Jul 1 employees = 90   Av Sal2 = Total 2/90   Now from the question   Av2 = Av1 + 10%   Total 2/90 = Total1/100 + 1/10 * Total1/100   Total 2/90 = 11 Total1/1000   Total 2 = 99 total1/100   Now Percent = Total2/Total1 * 100   = 99 Total1/Total1   = 99   ANSWER:99%
Answer: B
The probability that a visitor at the mall buys a pack of candy is 60%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
Choose the correct choice from the following choices
A) 0.284 B) 0.326 C) 0.432 D) 0.548 E) 0.652

Solution: One case is: candy - candy - no candy   The probability is 6/10*6/10*4/10 = 144/1000   There are 3 such cases, so we should multiply this probability by 3.   P(exactly 2 buy candy) = 144/1000 * 3 = 432/1000= 
432/1000 = 54/125 = around 0.432
0.432   The answer is 0.432.
Answer: C
Two numbers are in the ratio 3 : 4. If their L.C.M. is 84. what is sum of the numbers?	Choose one:	A) 49	B) 56	C) 76	D) 84	E) 85

Solution: Explanation:   Let the numbers be 3x and 4x   LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)   Given that LCM of 3x and 4x is 84   => 12x =84   => x = 84/12= 
84/12 = 7
7   Sum of the numbers= 3x + 4x   = 7x   3  + 4= 
3  + 4 = 7
7x= 7 x 7 = 49   49nswer: Option 49
Answer: A
Annie has 100 cards numbered 1 through 100. If she deals six cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?  Pick
A) 95!/100!
B) 96!/100!
C) (95! X 6!)/100!
D) (96! X 5!)/100!
E) (97! X 4!)/100!

Solution: Alex to get 6 consecutive cards in ascending order, to have 6 consecutive at the end is good enough.   There are 95 consecutive numbers in 100: {1, 2, 3, 4, 5,6}, {2, 3, 4, 5, 6,7}, ..., {95,96, 97, 98, 99, 100};   Total ways to pick 6 cards out of 100 is {6!*95!}{100!}.   Answer: (95! X 6!)/100!
Answer: C
The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area? Choose one.
A) 399 B) 240 C) 882 D) 378 E) 2131

Solution: 4a = 68 => a = 17   172 – 82 = 152   1/2 * 16 * 30= 
1/2 * 16 * 30 = 240
240   Answer: 240
Answer: B
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 12 years now, the son's age five years back was:	Choices
A) 3 years B) 7 years C) 1 years D) 6 years E) 5 years

Solution: Let the son's present age be x years.   Then, (12 - x) = x   2x = 12 => x = 6   Son's age 5 years back = (6 - 5)= 
(6 - 5) = 1
1 years.   ANSWER:1 years
Answer: C
Convert 200 inches into centimeter?	Choose the correct option.
A) 512cm
B) 520cm
C) 508cm
D) 510cm
E) 554cm

Solution: 1 inch = 2.54cm   200 inches = 200*2.54= 
200*2.54 = 508
508cm   Answer is 508cm
Answer: C
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Choose the correct choice from the following answers
A) 180m  B) 180m  C) 287m  D) 216m  E) 865m

Solution: Length of the train be ‘X’   X + 120/15 = X + 180/18   6X + 720 = 5X + 900   X = 180m   Answer:180m
Answer: B
A seller of used cars has 18 cars to sell and each of his clients selected 3 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?  Choose the correct answer:
A) 8  B) 10  C) 12  D) 18  E) 16

Solution: IfNo caris selected more than once then the number of clients = 18/3= 
18/3 = 6
6   But since every car is being selected three times so No. of Clients must be thrice as well= 6*3= 
6*3 = 18
18   Answer: option 18
Answer: D
A train 400 m in length crosses a telegraph post in 16 seconds. The speed of the train is? Answers:
A) 22 kmph
B) 77 kmph
C) 54 kmph
D) 71 kmph
E) 90 kmph

Solution: S = 400/16 * 18/5= 
400/16 * 18/5 = 90
90 kmph   Answer:90 kmph
Answer: E
Every length in a 45°-45°-90° triangle increases by 20%. By what percent does the area of the triangle increase?	Choose the correct choice from the following answers.
A) 20% B) 25% C) 40% D) 44% E) 80%

Solution: The irony of this question is, of course, the specifics of the shape don’t matter at all. Yes, in general it is a good idea to be familiar with the 45°-45°-90° triangle —- if you’re not, see this post —– but none of that matters here.   We have a 20% increase, so that’s a multiplier of 1.2, which means k = 1.2. The multiplier for area would be k^2 = (1.2)^2 = 1.44, which is the multiplier for a 44% increase. That’s the percent increase in area. Answer = 44%
Answer: D
fill in the blank space.
2, 7, 14, 23, ?, 47 Choose the correct choice from the following options:
A) 31
B) 28
C) 34
D) 38
E) 42

Solution: The given sequence is +5, +7, +9, ——   ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23   Missing Number = 23 + 11= 
23 + 11 = 34
34.   Answer : 34.
Answer: C
In a river flowing at 2 km/hr, a boat travels 56 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time. Choose the correct choice from the following:
A) 10 hours B) 12 hours C) 14 hours D) 21 hours E) None of these

Solution: Explanation :   speed of the boat = 6 km/hr   Speed downstream = (6+2)= 
(6+2) = 8
8 km/hr   Speed upstream= (6-2)= 
(6-2) = 4
4 km/hr   Distance travelled downstream= Distance travelled upstream = 56 km   Total time taken = Time taken downstream + Time taken upstream   = (56/8) + (56/4)= 
(56/8) + (56/4) = 21
21 hr. Answer : Option 21 hours
Answer: D
If x/y = 5/z, then 25y^2 =	Choose the most appropriate option:
A) x²z²
B) 3x²
C) (1/9)x²z²
D) x²z
E) x²/9

Solution: This question is most easily solved by isolating y in the equation and substituting into the expression 25y²:   x/y = 5/z   x = 5y/z   5y = xz   y = xz/5.   If we substitute xz/5 into the expression for y, we get:   25(xz/5)² = 25(x²z²/25) = x²z².   The correct answer is choice (x²z²)
Answer: A
he number of sequences in which 3 players can throw a ball, so that the youngest player may not be the last is?
Select the correct option
A) 81
B) 10
C) 4
D) 6
E) 8

Solution: x Not younger_______ ↑   The last ball can be thrown by any of the remaining 2 players. The first 6 players can throw the ball in 2P2 ways.   The required number of ways = 2(2!) = 4   Answer:4
Answer: C
Mary and John can do a piece of work in 24 day; John and Vino in 30 days;Vino and Mary in 40 days. If Mary, John and Vino work together they will complete work in ?  Choose the correct choice from the following:	A) 77	B) 20	C) 27	D) 19	E) 17

Solution: Explanation:   Given that   Mary and John take 24 days; i.e., (Mary + John)'s 1 day's work = 124124   John and Vino take 30 days; i.e., (John + Vino)'s 1 day's work = 130130   Vino and Mary take 40 days; i.e., (Vino + Mary)'s 1 day's work = 140140   Adding above 3 equations, we get,   [(Mary + John) + (John + Vino) + (John + Vino)]'s 1 day's work = 124+130+140124+130+140   2((Mary + John + Vino)'s 1 days work = 124+130+140124+130+140   2(Mary + John + Vino)'s 1 days work = 5+4+31205+4+3120 = 110110   Therefore, (Mary + John + Vino)'s 1 days work = 120120   i.e., Mary, John and Vino together can complete the work in 20 days.   Answer: 20
Answer: B
The main line train starts at 5.00AM and the harbor line train starts at 5.02AM.Each train has the frequency of 10 minutes. If a guy goes in the morning at a random time what is the probability of he getting main line train?	Choose one.
A) .5	B) 0.6	C) 0.4	D) 0.7	E) 0.8

Solution: out of 10 minutes there is only 2 minutes chance of getting harbour line train and there is 8 minutes chance for getting main line train.   So, probability = 8/10= 
8/10 = 4/5 = around 0.8
0.8   ANSW0.8R:0.8
Answer: E
How many pieces of 0.42 meteres can be cut from a rod 36.5 meteres long	Select
A) 30  B) 40  C) 86  D) 89  E) 95

Solution: Explanation:   We need so simple divide 36.5/0.42,   =(3650/42) = 86   Option 86
Answer: C
The third largest prime number is? Options
A) 11 B) 13 C) 5 D) 7 E) 23

Solution: The third largest prime number is 11.   11)
Answer: A
Albert borrowed a total of $ 6000 from Brian and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1494 as total interest. What is the interest paid to Brian at the end of three years?
Choose the correct choice:
A) $210	B) $630	C) $441	D) $694	E) $684

Solution: Money from Brian = x   Money from $441harlie = 6000 -x   1494 = 3 [ x (0.07) + (6000-x) (0.09)]   Solve for x, x = 2100   Interest paid to Brian = 2100 * 0.07 * 3= 
2100 * 0.07 * 3 = 441
441   ANSWER:$441
Answer: C
In a rectangular coordinate system, if a line passes through the points (-15,-18), (15,22) and (x,2) then what is the value of x? Choose the most appropriate option.
A) -2  B) -1  C) 0  D) 1  E) 2

Solution: The slope of the line m is rise/run = 22-(-18) / 15-(-15) = 4/3   4/3 = 22-2 / 15-x   60-4x = 66-6   x = 0   The answer is 0.
Answer: C
A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.400 more. What was the Sum?	Select the correct option:
A) s.1200
B) s.800
C) s.1400
D) s.1000
E) s.920

Solution: At 5% more rate, the increase in S.I for 10 years = Rs.400 (given)   So, at 5% more rate, the increase in SI for 1 year = 400/10 = Rs.40/-   i.e. Rs.40 is 5% of the invested sum   So, 1% of the invested sum = 40/5   Therefore, the invested sum = 40 × 100/5 = Rs.800 Answer: s.800
Answer: B
Two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?  Choose the correct choice from the following options.
A) 22 sec B) 23 sec C) 76 sec D) 20 sec E) 66 sec

Solution: Relative speed = (42 + 30) * 5/18 = 4 * 5= 
4 * 5 = 20
20 mps.   Distance covered in passing each other= 180 + 280 = 400 m.   The time required = d/s = 460/20= 
460/20 = 23
23 sec.   Answer:23 sec
Answer: B
A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord E, in feet? Choose the correct option.
A) 30 B) 25 C) 15 D) 10 E) 5

Solution: Because the cord was extended to its full length at all items, the dog ran along a semi-circular path, from north to south.   The circumference of a full circle is 2*pi*r, but since we only care about the length of half the circle, the semi-circle path is pi*r.   E=pi*r = 30. Round pi = 3, then r = 10.   Chord is about 10 feet long.10
Answer: D