MU-NLPC/Calc-aqua_rat huggingface dataset:
Brindavan Express leave Chennai Central Station every day at 07.50 am and goes to Bangalore City Railway station. This train is very popular among the travelers. On 25th July 2012 number of passengers traveling by I class and II class was in the ratio 1:4. The fare for this travel is in the ratio 3:1. The total fare collected was Rs. 224000/. (Rs. Two lakhs twenty four thousand only). What was the fare collected from I class passengers on that day?  Select:
A) Rs.32000
B) Rs. 96000
C) Rs.128000
D) Rs. 5,00,000
E) None of these

Solution: Solution: Let the number of passenger traveling by first class be x.   Then, number of passenger traveling by second class will be 4x.   But the fare is in the ratio 3:1   In other words, if 3y fare is collected per I class passenger, y would be collected per II class passenger.   Fares of I class passengers : Fares of II class passengers   = x*3y : 4x*y   = 3:4 The above ratio can be interpreted as follows.   If total fare is   3+4= 
  3+4 = 7
7, then I class passengers should pay Rs. 3   Similarly, we can calculate the fare of I class passengers when total was 224000   Total Fare I Class Fare   7 3   224000 ?= 224000*(3/7) = Rs. 96000.   Answer: Option Rs. 96000
Answer: B
There is a square with sides of 13. What is the area of the biggest circle that can be cut out of this square?	Choose the correct choice from the following choices
A) 132.73
B) 231.92
C) 530.93
D) 113.1
E) 204.33

Solution: 132.73rea of a circle = 132.73=Ï€r^2   Square is 13 wide, so circle's diameter would be 13, and radius would be 6.5   132.73=Ï€6.5^2 which is approximately 132.73   132.73nswer is 132.73
Answer: A
A cycle is bought for Rs.600 and sold for Rs.1080, find the gain percent?
Answers
A) 22
B) 20
C) 90
D) 80
E) 11

Solution: 600 ---- 180   100 ---- ? => 80%   Answer:80
Answer: D
Ratio between Rahul and Deepak is 4:3, After 10 Years Rahul age will be 26 years. What is Deepak present age.  Choose the correct choice:
A) 12
B) 15
C) 20
D) 22
E) 24

Solution: Explanation:   Present age is 4x and 3x,   => 4x + 10 = 26 => x = 16   So Deepak age is = 3(4) = 12   Option 12
Answer: A
Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 4w widgets.
Choose the correct choice
A) 4
B) 6
C) 8
D) 10
E) 24

Solution: I am getting 12. E. Hope havent done any calculation errors..   approach..   let y=no. of days taken by Y to do w widgets. Then X will take y+2 days.   1/(y+2) +1/y = 5/12(5/12 is because (5/4)w widgets are done in 3 days. So, x widgets will be done in 12/5 days or 5/12 th of a widget in a day)   Solving, we have y = 4   =>X takes 6 days to doing x widgets. So, he will take 24 days to doing 4w widgets.   Answer : 24
Answer: E
Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 15 songs, what are the chances that the third song he hears will be his favorite?	Choose the correct choice from the following options
A) 1/15 B) 1/12 C) 1/11 D) 3/14 E) 1/3

Solution: The player plays the songs on the album at random, so there are 15 songs that can be the third one played. Only 1 of these ways will result in Bill's favorite song being the third one played.   Total outcomes ==> 15   Total positive outcomes ==> 1   Correct answer is 1/15) 1/15
Answer: A
Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 84, the three numbers in order are? Choose the correct choice from the following
A) 36, 72, and 144
B) 36, 144, and 72
C) 72, 36, and 144
D) 72, 144, and 36
E) 144, 36, and 72

Solution: Let the numbers be 2x, x and 4x   (2x + x + 4x)/3 = 84   7x/3 = 84   x = 36   The numbers in order are 72, 36, and 144   The answer is 72, 36, and 144.
Answer: C
8 men can dig a pit in 20 days. If a work half as much again as a boy, then 4 men and 9 boys can dig a similiar pit. Find the days for 15 days can dig?	Select the correct option:
A) 20 B) 14 C) 16 D) 10 E) 21

Solution: 1 man=3/2 boys.   (4 men +9 boys)=15 boys.   8men=(3/2)*8= 
(3/2)*8 = 12
12 boys.   now, 12 boys can dig the bit in 20 days.   15 boys can dig=20*12/15= 
20*12/15 = 16
16 days.   The option 16 is answer
Answer: C
If the letters of the word PLACE are arranged taken all at a time, find how many do not start with AE?  Pick:
A) 114
B) 124
C) 130
D) 134
E) 135

Solution: Total no'of arrangements 5P5 = 5! = 120   no'of arrangements start with 114E = 1 × 6 = 6   no'of arrangements which do not start with 114E = 120 - 6= 
120 - 6 = 114
114   114)
Answer: A
The side of a square is increased by 30% then how much % does its area increases? Choose the correct choice:
A) 30.00 %	B) 36.25 %	C) 69.00 %	D) 52.25 %	E) 56.55 %

Solution: a = 100 a2 = 10000   a = 130 a2 = 16900   ----------------   10000 --------- 6900   100 -------? => 69.00 %   Answer:69.00 %
Answer: C
In a bag, there are 4 white, 1 brown and 5 red pens. One pen is picked up randomly. What is the probability that it is neither white nor red?
Choose the correct choice from the following:  A) 1/5  B) 1/10  C) 1/2  D) 1/3  E) 1/4

Solution: Explanation :   Neither white nor red means the pen drawn is brown.   Total number of outcomes = (4+1+5)= 
(4+1+5) = 10
10.   Number of Favourable outcomes= 1 = Number of brown pens.   Hence, Probability of the event = 1/10.   Answer : 1/10
Answer: B
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?	Choose the correct choice from the following choices:
A) 3/13 B) 4/31 C) 5/26 D) 6/31 E) 2/51

Solution: P(Both are red),   =65/262135/262=65/262135/262   =5/26   5/26
Answer: C
In how many different ways can the letters of the word ‘ARMOUM’ be arranged?  Choose one:
A) 200
B) 234
C) 250
D) 270
E) 360

Solution: ARMOUR = 6 letter whereas R repeated twice 6! 6xSx4x3x2x1 => 360   360
Answer: E
If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy?	Choose the correct choice from the following answers.
A) 2:5	B) 2:9	C) 2:4	D) 2:1	E) 2:2

Solution: 12M + 16B ----- 5 days   13M + 24B ------- 4 days   60M + 80B = 52M + 96B   8M = 16B => 1M = 2B   M: B = 2:1   Answer:2:1
Answer: D
In a room with 7 people, 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room (Assuming that friendship is a mutual relationship, i.e. if Jane is Paul's friend, Paul is Jane's friend). If two individuals are selected from the room at random, what is the probability that those two individuals are NOT friends?  Choose the correct choice from the following answers:
A) 5/21	B) 3/7	C) 4/7	D) 5/7	E) 16/21

Solution: (4/7)(5/6) + (3/7)(4/6) if you choose one of the 4 with one other friend, then you have a 5/6 chance of not picking their friend 2nd. If you choose one of the 3 with 2 friends, you have a 4/6 chance of not picking one of their friends second. Add them up.   20/42 + 12/42   32/42 = 16/21   E. 16/21
Answer: E
How much is 75% of 40 is greater than 4/5 of 25? Choices.
A) 22
B) 67
C) 10
D) 12
E) 66

Solution: (75/100) * 40 – (4/5) * 25   = 10   Answer: 10
Answer: C
If f(a)=3a+6, what is the value of (f(2a)+f(a)) ?
Choose the most appropriate option
A) 2a-4
B) 8a-7
C) 9a+5
D) 8a+12
E) 3a+5

Solution: f(a)=3a+6   f(2a)= 5a+6   (f(2a)+f(a)) = 5a+6+3a+6 = 8a+12   Answer is 8a+12
Answer: D
Sum of 53 odd numbers is?	Pick one: A) 2709 B) 2809 C) 2909 D) 3009 E) 3109

Solution: sum of 1st n odd no.s = 1+3+5+7+... = n^2   so, Sum of 1st 53 odd numbers = 53^2 = 2809   ANSWER:2809
Answer: B
Given that 2x + 11 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers?	Choose the correct answer:  A) -4 and -1  B) -1 and 4  C) -4 and 1  D) -3 and 4  E) 2 and 5

Solution: 2x + 11 > 5   i.e 2x >5-11   i.e. 2x > -6   i.e. x > -3   Also, 5x - 13 < 7   i.e. 5x <7+13   i.e 5x < 20   i.e x < 4   i.e. -3 < x < 4   Answer: Option -3 and 4
Answer: D
On dividing 136 by a number, the quotient is 9 and the remainder is 1. Find the divisor?  Choose the correct option.
A) A)12	B) B)15	C) C)16	D) D)17	E) E)18

Solution: d = (D-R)/Q   = (136 - 1)/9   = 135/9= 
135/9 = 15
15   15)
Answer: B
The ratio of number of boys and girls in a school is 3:2. If there are 100 students in the school, find the number of girls in the school?
Answers:
A) 25
B) 30
C) 35
D) 40
E) 50

Solution: Let the number of boys and girls be 3x and 2x   Total students = 100   Number of girls in the school = 2*100/5= 
2*100/5 = 40
40   Answer is 40
Answer: D
A train speeds past a pole in 15 seconds and a platform 150 meters long in 25 seconds. What is the length of the train (in meters)?  Options.
A) 205
B) 215
C) 225
D) 235
E) 245

Solution: Let the length of the train be x meters.   The speed of the train is x / 15.   Then, x + 150 = 25*(x / 15)   10x = 2250   x = 225 meters   The answer is 225.
Answer: C
-64x29+165=?	Choose the correct choice:  A) 2436  B) 2801  C) -2801  D) -1601  E) None of them

Solution: Given exp.=-64x(30-1)+165   =-(64x30)+64+165   =-1830+229   =-1601   Answer is -1601
Answer: D
Which of the following CANNOT be a product of two distinct positive integers r and s?	Choose the correct answer:	A) r	B) s	C) 3s + 2r	D) s - r	E) sr

Solution: In these questions it is best to take an example as if something is true for all positive integers than it as to be true for the smallest and the easiest integers to work with   take r = 1 and s = 2 and work with the options   rs = 2   A) r take r =2, s = 1   B) s take r = 1 s = 2   C) 3s + 2r Seems tricky, lets see other options and then come back to it.   D) s - r take s = 1 and r = 2 --> s - r = -1 .. How the hell can product of two positive integers be negative ?? or less than each of them?   E) sr Always true   You don't even have to worry what C is !   ans s - r
Answer: D
Three friends are buying a gift for a friend. Declan contributes 4 dollars more than 1/4 the cost of the gift, Ed contributes 6 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 22 dollars. What is the cost of the gift?
Choose the correct choice:
A) 48
B) 54
C) 60
D) 66
E) 72

Solution: Declan = D, Ed = E, Frank = F   t = total   D + E + F = t   (t/4 + 4) + (t/3 - 6) + 22 = t   t = 20 + (7t/12)   12t = 20(12) + 7t   5t = 5*4(12)   t = 48   The correct answer is 48.
Answer: A
In how many different number of ways 5 boys and 2 girls can sit on a shopa which can accommodate persons? Choose the most appropriate option: A) 190 B) 210 C) 220 D) 230 E) 234

Solution: Option '210'   7p3 = 7 × 6 × 5 = 210
Answer: B
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.	Choose the correct choice from the following options
A) 23	B) 28	C) 18	D) 16	E) 12

Solution: Explanation:   105 - 57= 
105 - 57 = 48
48   57 - 25= 
57 - 25 = 32
32   105 - 25= 
105 - 25 = 80
80   The H.C.F of 32, 48 and 80 is 16.   Answer: 16
Answer: D
A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet. What is its area, in square feet? Choices:
A) 172,800 B) 19,600 C) 20,000 D) 20,400 E) 20,800

Solution: you can avoid a lot of work in this problem by recognizing that, with the info provided, the diagonal forms a triangle inside the rectangle with sides that have a 3:4:5 ratio.   diagonal = 200   2x + 2y = 560, or x + y = 280   a^2 + b^2 = c^2 for each the sides of the triangle   using the ratio 3:4:5 for sides, and knowing c = 600, you can deduce the following   a=360   b=480   360x480=172,800   172,800 is the answer.
Answer: A
If the remainder is 3 when positive integer n is divided by 18, what is the remainder when n is divided by 6? Choose the correct choice from the following options:
A) 3	B) 1	C) 2	D) 3	E) 4

Solution: Assume x is quotient here,   n=18x+3 ----------(1)   and n=6x+ ?   We can also write first term as   n=(18x+6) = 6(3x+1) +3   ie 6(3x+1)+3 ie the first term is perfectly divisible by 6.   So,the remainder left is 3.   So,answer (3) is right choice.
Answer: A
Health insurance Plan W requires the insured to pay $1000 or 50% of total cost, whichever is lower. Plan B requires the insured to pay the initial $300, but then pays 80% of the cost over $300. Which of the following is a cost level for which both insurance plans pay out the same amount?
Choose the correct option.
A) $600 B) $1000 C) $3800 D) $5300 E) $6200

Solution: 0.5 * 600= 
0.5 * 600 = 300
300 where W= $1000.
Answer: B
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 30, and the difference between the total number of strawberries and the total number of blueberries would increase by 100. Each blue box contains how many blueberries? Choose one: A) 35 B) 40 C) 45 D) 50 E) 55

Solution: Let x be the number of blueberries in each blue box.   Then there are x+30 strawberries in each red box.   x+(x+30)=100   x = 35   The answer is 35.
Answer: A
If s and t are positive integers such that s/t = 56.18, which of the following could be the remainder when s is divided by t ?  Choose the correct choice from the following answers.
A) 2	B) 4	C) 8	D) 20	E) 90

Solution: The remainder is 0.18 or 18/100. You can go one step further and say that X/Y=18/100, where X and Y are whole numbers. Plug in all the answer choices for X and see which one makes Y a whole number.   One thing that jumps out at me is that A, B, C, and D are all even. E on the other hand is odd. Why? Maybe I'll start plugging in here first.   90/Y=18/100   18Y=9000   Y=500   Answer: 90.
Answer: E
If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be	Choose the most appropriate option
A) 10  B) 14  C) 18  D) 22  E) 24

Solution: Explanation:   Let the numbers be 3x, 2x and 5x.   Then,   9x + 4x + 25x =1862   ⇒ 38x = 1862   ⇒ x = 49 ⇒ x = 7.   middle number = 2x = 14   Option 14
Answer: B
Rahul went to a shop and bought things worth Rs. 24, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Choose the correct answer:
A) 18.7
B) 20
C) 22
D) 21.4
E) 21.5

Solution: Total cost of the items he purchased = Rs.24   Given that out of this Rs.24, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (24−30/100−x)6/100 = 30/100   ⇒ 6(24 −0.3 −x) = 30   ⇒ (24 − 0.3 − x) = 5   ⇒ x = 24 − 0.3 − 5 = 18.7   18.7
Answer: A
In measuring the sides of a rectangle,one side is taken 5% in excess,and the other 4% in deficit.Find the error percent in the error percent in the area calculated from these measurements.	Choose the correct choice from the following answers.
A) 0.8%	B) 0.2%	C) 0.4%	D) 0.9%	E) 0.6%

Solution: Let x and y be the sides of the rectangle.Then,correct area =xy.   calculated area =(105/100* x)*(96/100* y)=504/500*xy.   Error in measurement =504/500* xy)-xy=4/500*xy.   Error % =[4/500*xy*1/xy*100]%=4/5= 
4/5 = 4/5 = around 0.8
0.8%.   0.8%nswer is 0.8%
Answer: A
there are five red shoe and 4 green. if one draw randomly a shoe then what is the probability of getting red Choose the correct option
A) 1/9 B) 2/9 C) 3/9 D) 4/9 E) 5/9

Solution: prob of getting red shoe = 5/9   ANSW5/9R:5/9
Answer: E
There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total E of the book?  Options:
A) 3003	B) 3027	C) 3024	D) 3021	E) 3018

Solution: First, you have to find the common ratio for all 3 books. You have:   P:C:B   3:2 --> multiply by 2 (gives you row 3)   4:6   6:4:3   Hence:   P:C:B:T(Total)   6:4:3:13 ----> This means, the Total Number E must be a multiple of 13.   3003nswer 3003 is correct since 299 is divisible by 13, hence is 2990 and so is 3003 (2990+13).
Answer: A
From the given equation find the value of x: x² − 3x + 2
Select the correct option:
A) 1
B) 3
C) 2
D) 5
E) 6

Solution: (x − 1)(x − 2)   x = 1 or 2.   2
Answer: C
Sam taken a loan Rs.15000/- from Co-operative Society with an interest @ 11.5% per month. At the same time he deposited Rs. 10000/- as Fixed Deposit with an interest @ 9.5% per month. After one week sam asked the manager to calculate the interest to be paid. What is the interest amount for 7 days?  Choose the correct choice from the following answers:
A) A)165  B) B)220  C) C)310  D) D)185  E) E)181

Solution: Loan amount : Rs.15000/- @ 11.5%   Interest per month = 15000/- * 11.5% =Rs.1725   Interest for one day = 1725/30= 
1725/30 = 115/2 = around 57.5
57.50   Interest for 7 days is= 57.50*7 =403   FD amount is = Rs.10000/- @ 9.5%   Interest per month = 10000 * 9.5% = 950/-   Interest for 7 days = 950/30*7 = 222   Interest amount to be paid by Sam = 403-222= 
403-222 = 181
181/- for 7 days   Answer is 181
Answer: E
Calculate the time it will take for a train that is 200 meter long to pass a bridge of 180 meter length, if the speed of the train is 65 km/hour ?  Pick:
A) 20 seconds
B) 4 seconds
C) 31.04 seconds
D) 11.04 seconds
E) 21.04 seconds

Solution: Speed = 65 Km/hr = 65*(5/18) m/sec = 18.06 m/sec   Total distance = 200+180= 
200+180 = 380
380 meter   Time= Distance/speed   = 380 * (100/1806) = 21.04 seconds   Answer: 21.04 seconds
Answer: E
Train E and F, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train E left at 4 pm traveling at a speed of 60 miles per hour, and train F left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other? Select.
A) 9.03pm B) 9.05pm C) 9.07pm D) 9.08pm E) 9.10pm

Solution: First, since E has a headstart then in that 1hr45min or 1.75hrs he travels 105 miles   Then remaining distance to be traveled will be   455 - 105= 
  455 - 105 = 350
350 miles   Now, using relative rates (105)(t)= 350   This gives 10/3 hours   Now 5.45pm + 10/3 hours gives us 9.05pm   Hence answer is 9.05pm
Answer: B
An athlete runs 200 metres race in 24 seconds. His speed is
Select the correct option.
A) 20 km / hr
B) 24 km /hr
C) 28.5 km / hr
D) 30 km / hr
E) None

Solution: Sol.   Speed = 200 / 24 m/sec = 25 / 3 m/sec   = (25/3 x 18 / 5) km / hr = 30 km / hr.   Answer 30 km / hr
Answer: D
While playing a certain dice game, Chris wins if the sum of the two dice is 10, at which point the game is over. If the game allows Chris three rolls in an attempt to win, what is the probability that Chris will win?  Choose the correct answer:  A) 1/2  B) 17/36  C) 190/827  D) 11/36  E) 25/216

Solution: Probability of winning game = 1- Probability of losing game   Probability of losing game = (Probability of not getting sum 7 in any of the three attempts)   Ways of getting sum 10 = (4,6)(5,5)(6,4)= 3 ways   Total ways of getting outcome on two dice =6*6= 
6*6 = 36
36   Probability of getting sum as 10 in any attempt=3/36=1/12   Probability of NOT getting sum as 10 in any attempt = 1-(1/12)= 11/12   Probability of losing game =(11/12)*(11/12)*(11/12)=637/827   I.e. Probability of wining game = 1-(637/827) = 190/827   Answer : Option 190/827
Answer: C
If the ratio of the change in the book's price to its new price is 1 : 5, What is the % price increase?  Choose the correct option
A) 25%
B) 50%
C) 75%
D) 90%
E) 100%

Solution: Solution:-   Given   ratio of change in book price/ new price = 1 /5   =>(new price−old price)/new price=1/5   => old price/new price=4/5 ---- equation 1   % increase is always with respect in the initial or old price.   => % increase = (( new price - old price)/old price)*100---equation 2   substituting 1 in 2 we have   % increase = ((new−(4/5)new)/((4/5)new))∗100   = 25%   25%NSWER:25%
Answer: A
If 4x+y=34, 2x-y=20, for integers of x and y, y^2=?  Answers:
A) 2 B) 4 C) 0 D) 10 E) 3

Solution: 4x+y = 34   2x-y = 20   6x = 54   x = 9   y = -2   y^2 = 4   Answer is 4
Answer: B
A sum of $1162 is divided among A,B and C. Such that 4 times A's share share is equal to 5 times B's share and 7 times C's share . What is the share of C?	Select the correct option.
A) $ 280	B) $ 180	C) $ 260	D) $ 140	E) $ 240

Solution: 4 times of $ 280's share =5 times of B's share=7 times of C's share=1   therefore , the ratio of their share =1/4:1/5:1/7   LCM of 4,5,7=140   therefore,$ 280’s¼:1/5:1/7=35:28:20   the ratio now can be written as 35:28:20   therefore C's share=(20/83)*1162=20*14= 
20*14 = 280
$ 280   $ 280NSWER : $ 280 280
Answer: A
The average of first 10 odd numbers is?	Options:	A) 11	B) average=10	C) 18	D) 12	E) 19

Solution: Explanation:   Sum of 10 odd no. = 100   Average = 100/10= 
100/10 = 10
10   Answer:average=10
Answer: B
The events A and B are independent. The probability that event A occurs is x and the probability that event B occurs is y. Which of the following is equal to the probability that exactly one of the events A and B occurs?	Choices
A) x − 2xy	B) y − xy	C) x + y − 2xy	D) x + y − xy	E) x + y

Solution: Probability of A occuring = x , Probability of A NOT occuring = 1-x   Probability of B occuring = y , Probability of B not occurring = 1-y   Probability of atleast of one of A and B occuring = 1-(1-x)(1-y) =x+y -xy   x + y − xy
Answer: D
A man buys s cycle for $1400 and sells it at a loss of 15%. What is the selling price of the cycle?  Choose one.
A) $950  B) $1006  C) $1190  D) $1245  E) $1521

Solution: S.P. = 85% of the $1400 = 85/100 * 1400= 
85/100 * 1400 = 1_190
$1190   Answer is $1190
Answer: C
Let the number which when multiplied by 15 is increased by 280. Pick
A) 14
B) 20
C) 26
D) 28
E) 30

Solution: Solution   Let the number be x .   Then, 15x - x = 280   ‹=›14x = 280   x ‹=› 20.   Answer 20
Answer: B
A dishonest dealer professes to sell goods at the cost price but uses a weight of 700 grams per kg, what is his percent?	Choose the correct answer:  A) 11  B) 25  C) 77  D) 42  E) 11

Solution: 700 --- 300   100 --- ? => 42%   Answer:42
Answer: D
The length of a rectangle is halved, while its breadth is tripled. Wa tis the % changein area?
Choose one
A) 34%
B) 45%
C) 50%
D) 60%
E) 67%

Solution: Let original length = x and original breadth = y.   Original area = xy.   New length = x .   2   New breadth = 3y.   New area = x x 3y = 3 xy.   2 2   Increase % = 1 xy x 1 x 100 % = 50%.   2 xy   50%
Answer: C
The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 490, Krishan has ? Choose the correct choice from the following choices
A) Rs. 2890 B) Rs. 2330 C) Rs. 1190 D) Rs. 1620 E) Rs. 2680

Solution: Ram : Gopal = 7 : 17 = 49 : 119   Gopal : Krishan = 7 : 17 = 119 : 289   Ram : Gopal : Krishan = 49 : 119 : 289   Ram : Krishan = 49 : 289   Thus, 49 : 289 = 490 : N   &there N = 289 x 490 / 49   = Rs. 2890   Rs. 2890nswer :Rs. 2890
Answer: A
A starts business with Rs.3500 and after 8 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bâ€™s contribution in the Capital ?	Options
A) 24887	B) 20778	C) 23788	D) 15750	E) 2811

Solution: Explanation:   A invested Rs.3500 for 12 months.   Let B joined with investment x. And he invested for 12 - 8= 
12 - 8 = 4
4 months.   So there profit ratio= (3500 Ã— 12) : (4x) = 2 : 3   â‡’ x = 15750   Answer: 15750
Answer: D
In what time a sum of money double itself at 5% per annum simple interest?
Pick one:
A) 33 1/8%
B) 33 1/3%
C) 33 7/3%
D) 32 1/3%
E) 20%

Solution: P = (P*5*R)/100   R = 20%   Answer: 20%
Answer: E