MU-NLPC/Calc-aqua_rat huggingface dataset:
If the number is divided by 3, it reduced by 30. The number is	Choose one:
A) A)51	B) B)50	C) C)45	D) D)40	E) E)36

Solution: Explanation:   Let the number be x. Then,   x - (x/3) = 30 => 2x/3 = 30   => x = 45   Answer: Option 45
Answer: C
The least number which when increased by 6 each divisible by each one of 24, 32, 36 and 54 is :  Choose the correct choice from the following options:
A) 858	B) 859	C) 869	D) 4320	E) None of these

Solution: Solution   Required number = (L.C.M. of 24, 32, 36, 54) - 5 = 864 - 6= 
864 - 6 = 858
858. 858nswer 858
Answer: A
Tom covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?	Choose the correct choice from the following answers: A) 15 Kmph B) 29 Kmph C) 25 Kmph D) 30 Kmph E) 34 Kmph

Solution: Total distance = 8 Km   Total time = 50 Km   Time taken to cover the distance of 3 Km = 50*2/5= 
50*2/5 = 20
20 min= 1/3 hours   Remaining distance = 8 - 3= 
8 - 3 = 5
5 Km   Required speed= 5/1/3 = 15 Kmph   15 Kmph
Answer: A
Find the fourth proportion to 5,6,15
Answers.
A) 18	B) 12	C) 6	D) 9	E) 2

Solution: Explanation:   5:6 :: 15:x   => 5/6 = 15/x   => x = 15*6/5   => x = 18   18nswer:18
Answer: A
In what time will a train 20 m long cross an electric pole, it its speed be 144 km/hr?  Choose the correct option
A) 2.5 sec B) 2.8 sec C) 0.5 sec D) 2.3 sec E) 1.5 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 20/40= 
20/40 = 1/2 = around 0.5
0.5 sec.   Answer:0.5 sec
Answer: C
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 84, 60, then the average marks of all the students is
Choose the correct choice from the following options
A) 54.48 B) 54.68 C) 54.6 D) 54.58 E) 65.56

Solution: 65.56xplanation:   (55Ã—50)+(60Ã—84)+(45Ã—60) / 55+60+45   10490 / 160=65.56   Option 65.56
Answer: E
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 3/4 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?  Pick:
A) 6/22
B) 5/22
C) 7/22
D) 4/22
E) 3/22

Solution: # of basic stereos was 3/4 of total and # of deluxe stereos was 1/4 of total, let's assume total=16, then Basic=12 and Deluxe=4.   Now, if time needed to produce one Deluxe stereo is 1 unit than time needed to produce one Basic stereo would be 7/5 units. Total time for Basic would be  12*1= 
 12*1 = 12
12 and total time for Deluxe would be 4*7/5=28/5 --> total time for both of them would be 12+28/5=88/5 --> deluxe/total=28/5 / 88/5= 28/88 =7/22   7/22
Answer: C
If the ratio of x to y is 3 to 7, then (y-x)/(x+y)?  Pick
A) -7/3
B) -3/7
C) 4/10
D) 1
E) 7/3

Solution: I believe this problem can be solved using algebra.   The ratio of x to y is 3 to 7 means   (x/y)=(3/7)   Cross-multiply   3x = 7y   x = (3/7)*y   Then, substitute x in the original equation in the problem with the value we just found.   (y - (3/7)*y) / ((3/7)*y + y)   = ((4/7)*y) / ((10/7)*y)   Simplify by canceling the y in the numerator with the y in the denominator.   (4/7) / (10/7)   = (4/7) * (10/7)   The 7s cancel each other out, and you are left with 4/10.
Answer: C
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in pacakages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?  Choose the correct choice from the following.
A) 6	B) 8	C) 16	D) 24	E) 32

Solution: Packages can be prepared in following 2 ways:   1) 3 notepads of same size and same color   2) 3 notepads of same size and of 3 different colors   Lets go step by step.   1) 3 notepads of same size and same color:   We know that there are 2 sizes of pads and 4 colors in total. We want to keep the size and color same. so there are   2*4= 
  2*4 = 8
8 ways to create package.   2) 3 notepads of same size and of 3 different colors:   We want to select 3 colors out of 4 available= 4C3 = 4   And there are 2 sizes of notepad available. So the total ways in which a package can be created is = 4C3*2 = 8   So total 8+8= 
8+8 = 16
16 packages can be created. Answer is 16.
Answer: C
What is the remainder when 4^8707 is divided by 5 ?  Choose the most appropriate option
A) 0	B) 1	C) 2	D) 3	E) 4

Solution: 4^0 = 1   4^1 = 4   4^2 = 16   4^3 = 64   4^4 = 256   4^5 = .....4   4^6 = .......6   And so on in a distinct last-digit pattern of 4,6,4,6... after ignoring the first last-digit of 1   8707/2 = 4353 (with a remainder of 1) So the last number is a 4.   Alternatively, 8707 is an odd number and hence the last digit is a 4   When 4^8707 is divided by 5 the remainder is 4, ANS = 4
Answer: E
A grocer has a sale of Rs. 7435, Rs. 7927, Rs. 7855, Rs. 8230 and Rs. 7562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 7500? Pick one.
A) Rs. 1991
B) Rs. 2991
C) Rs. 3991
D) Rs. 4991
E) Rs. 5991

Solution: Explanation:   Total sale for 5 months = Rs. (7435 + 7927 + 7855 + 8230 + 7562) = Rs. 39009.   Required sale = Rs. [ (7500 x 6) â€“ 39009 ]   = Rs. (45000 â€“ 39009)   = Rs. 5991.   Answer Rs. 5991
Answer: E
Out of 7 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is Select the correct option:  A) 1/21  B) 10/21  C) 20/21  D) 11/21  E) 2/21

Solution: The number of exhaustive events = 7C2 = 21.   Let E be event of the 2 fruits being rotten. The number of favourable cases are   2C2 = 1 way.   Required probability = 1/21.   1/21NSWER:1/21
Answer: A
A man covers a certain distance on bike. Had he moved 4 kmph faster, he would have taken 72 minutes less. If he moves slow by 4 kmph, he will take hours more to cover the distance. What is the distance travelled by him ? Choose the correct answer
A) 48 km
B) 56 km
C) 64 km
D) 96 km
E) 106 km

Solution: Explanation :   Let the distance be 'D' and the speed be 'x' kmph.   96 km/x + 4 = 96 km/x - 72/60   96 km/x - 96 km/(x - y) = 6/5 = 96 km(x + 4 - x)/x(x - 4) = 6/5   ∴ 96 km/x(x + 4) = 3/10 ......(i)   96 km/x - 4 - 96 km/x = 2   ∴ 96 kmx - 96 kmx + 496 km/x(x - 4) = 2   ∴ 96 km/x(x - 4) = 1/2 .....(ii)   From equation (i) and (ii):   3/10 x (x + 4) = 1/2 x(x - 4)   ∴ 3(x + 4) = 5(x - 4) = 3x + 12 = 5x - 20   2x = 32 ∴ x = 16 kmn-1   ∴ 96 km = x(x - 4)/2 = 16x12/2 = 16x6 = 96 km   Answer : Option 96 km
Answer: D
Amita is taller than Rita but not as tall as Sapna, who is shorter than Farida. Sumedha is shorter than Farida but not as short as Rita. Who is the shorest among them?
Choose the correct choice from the following options.
A) Amita
B) Sumedha
C) Rita
D) Cannot be determined
E) None of these

Solution: here sumedha is shorter than Farida but not as short as rita   So sumedhaa will be placed in between farida and rita   hence rita is shortest among them   ANSWER:Rita
Answer: C
A scale 7 ft. 12 inches long is divided into 4 equal parts. Find the length of each part.	Choose one
A) 20 inches  B) 77 inches  C) 24 inches  D) 97 inches  E) 66 inches

Solution: Explanation:   Total length of scale in inches = (7*12) + 12= 
(7*12) + 12 = 96
96 inches   Length of each of the 4 parts= 96/4= 
96/4 = 24
24 inches   ANSWER:24 inches
Answer: C
When a number is divided by 6 &then multiply by 12 the answer is 12 what is the no.?  Choose the most appropriate option:
A) 4.5
B) 5
C) 5.5
D) 5.8
E) 6

Solution: if $x$ is the number, x/6 * 12 = 12   => 2x = 12   => x = 6   6
Answer: E
Winson's shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?  Choose the most appropriate option:
A) 0.8 B) 0.75 C) c) 8/9 D) 5/7 E) 6/8

Solution: The approach of plugging in the numbers is a fine approach. But, in this case, the answer was the first option and thus, by plugging in a number in the ration given, we arrived at the answer quickly!   However, what if the correct ratio was option D or C?   In any case, the algebraic solution isn't that complex if you realize a key concept:   The number 7 can be factored out of the second equation!   Here's the working:Winson's shop runs a sale on goldfish and platys.   13x + 12y = 5.60 <<<<< Equation 1   14x + 21y = 8.05 <<<<< Equation 2   2x + 3y = 1.15 [Factor Out 7 from equation 2] <<<<< Equation 3   8x + 12y = 4.6 [Multiply Equation 3 with 4]   5x = 1.0 [Equation 1 - Equation 2]   x = 0.2   3y = 1.15 - 0.4= 
1.15 - 0.4 = 0.75
0.75 [Substitute for x in Equation 1]   y= 0.25   x/y = 0.2/0.25 = 20/25 = 4/5= 
4/5 = 4/5 = around 0.8
0.8 [Answer A]   The whole thing must have taken me about 45 s :5/7
Answer: D
In a stack of cards, 6 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 8/11. What is the number of cards in the stack? Choose the correct choice from the following answers:
A) 7  B) 11  C) 12  D) 15  E) 18

Solution: This question can be solved by TESTing THE ANSWERS.   We're told that we have 6 blue cards and an unknown number of red cards. We're also told that if 2 cards are to be chosen at random from the stack WITHOUT replacement, then the probability that the cards chosen will BOTH be BLUE is 8/11. We're asked for the TOTAL number of cards.   Probability of pulling two blue cards is...   (6/7)(5/6) = 30/42~ 8/11   7
Answer: A
In a renowned city, the average birth rate is 4 people every two seconds and the death rate is 3 people every two seconds. Estimate the size of the population net increase that occurs in one day.	Choose the correct choice from the following choices: A) 43,100 B) 43,200 C) 43,300 D) 43,400 E) 43,450

Solution: This question can be modified so that the birth rate is given every m seconds and the death rate is given every n seconds.   For this particular question : Increase in the population every 2 seconds = 4-3= 
4-3 = 1
1 people.   Total 2 second interval in a day= 24*60*60/2 = 43,200   Population increase = 43,200 * 1 = 43,200. Hence 43,200.
Answer: B
A train running at the speed of 20 km/hr crosses a post in 10 seconds. What is the length of the train?
Choose one
A) 150  B) 250  C) 415  D) 200  E) 312

Solution: Speed=(20x5/18)=50/9 m/sec.   Length of the train=(Speed x Time).   Length of the train=50/9 x10m=200 m.   Answer: 200
Answer: D
If in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows.
What is the maximum number of runs that a batsman can score in an ideal case scenario?  Choose one:
A) 1652  B) 1651  C) 1653  D) 1654  E) None

Solution: Solution:   1653   Explanation:   For an ideal case, the batsman will hit a six on each ball. But if he hits six on the last ball of the over, the strike will change in the next over. Thus, the best he can do in the last ball is run 3 runs so that he retains the strike even in the next over. Thus the total runs that he can score in each over:    6 * 5 + 3= 
 6 * 5 + 3 = 33
33   But this will have to go like it only till the 49th over. In the last over, he can hit a six in the last ball as well as that will be the last ball of the match.   Thus runs for the last over will be 6 * 6= 
6 * 6 = 36
36.   Hence the maximum runs= 33 * 49 + 36= 
33 * 49 + 36 = 1_653
1653   Answer 1653
Answer: C
Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce,making a profit of 20 percent. What was the ratio of the mixture? Select the correct option: A) 1:10 B) 1:5 C) 2:7 D) 3:8 E) 5:7

Solution: Let x ounce of ist be mixed with y ounce of 2nd   thus total CP = 5x+6y   Sly SP = 7x+7y   Now profit % = 20, its very easy to solve profit n loss problems using Fraction rule.   SP = CP * 120/100 ( since profit so SP >CP n hence multiplied by 120/100 which is > 1   thus 7x+ 7y= (5x+6y) * 120/100   or, x:y = 1:5   ANSWER:1:5
Answer: B
There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?  Choose the correct choice from the following answers.
A) 40  B) 45  C) 50  D) 55  E) 60

Solution: It's almost always better to solve "at least one" combinations/probability questions with {at least one}={total}-{none}.   Total # of selections of 4 books out of 8: C48=70C84=70;   Total # of selections of 4 hardback books out of 8 (so none paperback): C46=15C64=15;   {at least one}={total}-{none}=70-15= 
70-15 = 55
55.   Answer: 55
Answer: D
If n is the greatest positive integer for which 4^n is a factor of 10!, then n =?  Select the correct option
A) 2	B) 4	C) 6	D) 8	E) 10

Solution: 10! = 3628800   E. 4^10 = 1048576 (3628800/1048576) - this is not a factor of 10!   D. 4^8 = 65536 (3628800/65536) - this is not a factor of 10!   C. 4^6 = 4096 (3628800/4096) - this is not a factor of 10!   B. 4^4 = 256 (3628800/256) - this is a factor of 10!   4 is answer
Answer: B
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is  Select the correct option:  A) 17/25  B) 17/29  C) 17/21  D) 17/20  E) 17/24

Solution: n(S) = 20   n(Even no) = 10 = n(E)   n(Prime no) = 8 = n(P)   P(EᴜP) = 10/20 + 8/20 - 1/20   =17/20   Answer: 17/20
Answer: D
√530493 ,493 is between Choices: A) 300 and 600 B) 200 and 400 C) 600 and 800 D) 100 and 300 E) 800 and 1000

Solution: 530493 is greater than 49,0000 (700^2) and smaller than 64,0000 (800^2)   700 < √530493 < 800. Only option satisfying this condition is 600 < √530493 < 800.   Answer:600 and 800
Answer: C
Which of the following equations passes through the points (2,4) and (-3,-6) Choose one:	A) y = (1/2)x - 2	B) y = 2x + 3	C) y = (-1/2)x + 2	D) y = 2x + 4	E) y = 4x - 4

Solution: Find slope first = (y1-y2)/(x1-x2) = (-6-4)/(-3-2)= 
(-6-4)/(-3-2) = 2
2   Using the point (2,4) in options   we get,   y= 4x - 4 as right answer.   Ans- y = 4x - 4
Answer: E
How many figures are required to number the pages the pages of a book containing 1000 pages?
Choose the correct choice: A) 2793 B) 2333 C) 2993 D) 2893 E) 2693

Solution: 1 to 9 = 9 * 1= 
9 * 1 = 9
9   10 to 99= 90 * 2= 
90 * 2 = 180
180   100 to 999= 900 * 3= 
900 * 3 = 2_700
2700   1000= 4   -----------   2893   ANSWER:2893
Answer: D
A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?	Choose the correct option
A) 2 2/3 days	B) 2 6/3 days	C) 2 2/7 days	D) 6 2/3 days	E) 2 8/3 days

Solution: Work done by all three of them in one day   = 1/6 + 1/8 + 1/12 = 3/8.   The number of days required   = 8/3   = 2 2/3 days   2 2/3 daysnswer:2 2/3 days
Answer: A
Of the employees in a company, 20 % are female who have a master degree. If 10 % of the female employees do not have a master degree, what percent of the employees in the company are female?	Pick one:
A) 27.24%	B) 26.22%	C) 25.22%	D) 22.25%	E) 22.22%

Solution: Let E be total no. of employees and F be total no of female employees.   Question asked what is F/E X 100%?   No. of female employees with Masters = 0.2 x E (From the question)   No. of female employees without masters = 0.1 x F (From the question)   Therefore No. of female employees with masters = F - 0.1 F = 0.9 F   The 2 expressions equal each other therefore 0.9F = 0.222.22%; F/22.22% = 0.2/0.9 = 22.22%   Ans: 22.22%
Answer: E
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Select the correct option:  A) 20 sec  B) 30 sec  C) 40 sec  D) 50 sec  E) 60 sec

Solution: Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec   Total distance = 360+140= 
360+140 = 500
500 meter   Time= Distance/speed   = 500 * (2/25)= 
500 * (2/25) = 40
40 seconds   ANSWER:40 sec
Answer: C
A man has some hens and cows. If the number of heads be 46 and the number of feet equals 136, then the number of hens will be  Choose the most appropriate option
A) 22
B) 24
C) 26
D) 20
E) 28

Solution: Explanation :   Let number of hens = h and number of cows = c   number of heads = 46   => h + c = 46 ---(Equation 1)   number of feet = 136   => 2h + 4c = 136   => h + 2c = 68 ---(Equation 2)   (Equation 2) - (Equation 1) gives   2c - c = 68 - 46   => c = 22   Substituting the value of c in Equation 1, we get   h + 22 = 46   => h = 46 - 22= 
46 - 22 = 24
24   i.e., number of hens= 24   Answer : 24
Answer: B
The mall charges 60 cents for the first hour of parking and $4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If Edward parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay? Choices
A) $25.2 B) $22. C) $13. D) $14.5. E) $15.5

Solution: 0.60+4*4+2*4+0.60= 
0.60+4*4+2*4+0.60 = 25.2
$25.2   $25.2nswer :$25.2
Answer: A
Suppose you work for a manufacturing plant that pays you $12.50 an hour plus $0.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $660 (before payroll deductions)?
Choose the correct choice from the following answers: A) 800 B) 900 C) 1000 D) 1100 E) 1200

Solution: total pay = 40*$12.50 + $0.16*x = 660   x = 160 / 0.16= 
160 / 0.16 = 1_000
1000   The answer is 1000.
Answer: C
Pat, Kate, and Mark charged a total of 135 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?
Choose the correct choice from the following answers:
A) 18
B) 36
C) 75
D) 90
E) 108

Solution: 75   all u do is do   2:1:6=>2x+x+6x=135=>x= 15   30:15:90   90-15= 
90-15 = 75
75   Answer 75
Answer: C
A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will not have been assembled by the end of the second hour?  Choose the correct choice from the following
A) 70  B) 98  C) 126  D) 168  E) 182

Solution: During the first hour 0.25*280= 
0.25*280 = 70
70 displays were assembled.   During the second hour   0.4*(280-70)= 
  0.4*(280-70) = 84
84 displays were assembled.   Thus, 280 - (70+84)= 126 displays had not been assembled by the end of the second hour.   Answer: 126.
Answer: C
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 60% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit? Choose the correct choice from the following choices: A) 10.5% B) 12.5% C) 15% D) 22% E) 25%

Solution: 0.1 M = 0.40 E   => E/M = 1/4 * 100= 
1/4 * 100 = 25
25%   So answer is E.   M - # of Motorists   25% - # of Motorists exceeding speed
Answer: E
A certain ball team has an equal number of right- and left-handed players. On a certain day, one-third of the players were absent from practice. Of the players at practice that day, one-third were right handed. What is the ratio of the number of right-handed players who were not at practice that day to the number of left handed players who were not at practice?	Options: A) 1/3 B) 5/1 C) 5/7 D) 7/5 E) 3/2

Solution: Say the total number of players is 18, 9 right-handed and 9 left-handed.   On a certain day, two-thirds of the players were absent from practice --> 6 absent and 12 present.   Of the players at practice that day, one-third were right-handed --> 12*1/3=4 were right-handed and 8 left-handed.   The number of right-handed players who were not at practice that day is 9-4 --  12*1/3= 
 --  12*1/3 = 4
4 were right-handed and 8 left-handed.   The number of right-handed players who were not at practice that day is  9-4= 
 9-4 = 5
5.   The number of left-handed players who were not at practice that days is   9-8= 
  9-8 = 1
1.   The ratio= 5/1.   Answer: 5/1
Answer: B
If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 10km more. The actual distance traveled by him is? Answers
A) 50 km	B) 30 km	C) 18 km	D) 16 km	E) 97 km

Solution: Let the actual distance traveled be x km. Then,   x/10 = (x + 10)/15   5x - 150 =>x = 30 km.   Answer: 30 km
Answer: B
If Q is an odd number and the median of Q consecutive integers is 150, what is the largest of these integers?  Select.
A) Q/2 + 150	B) Q/2 + 149	C) (Q - 1)/2 + 150	D) (Q + 149)/2	E) (Q + 150)/2

Solution: Consider the easiest case, say Q=3, then;   Set = {149, 150, 151};   The largest integer = 151.   Now, plug Q=3 into the answers to see which yields 151.   Answer: (Q - 1)/2 + 150.
Answer: C
If the number 5 * 2 is divisible by 6, then * = ?
Answers
A) 2 B) 5 C) 3 D) 1 E) 6

Solution: 6 = 3 x 2. Clearly, 5 * 2 is divisible by 2. Replace * by x.   Then, (5 + x + 2) must be divisible by 3. So, x = 2.   2NSWER 2
Answer: A
If p and q are both odd integers, which of the following must be an odd integer?  Pick one
A) p+q  B) 2p+q  C) p+3q  D) 2p+q+1  E) p+q^2

Solution: p is odd; for this assume p=1   q is odd; for this assume q = 1   1+1= 
1+1 = 2
2 Even     (2*1)+1= 
  (2*1)+1 = 3
3 Odd    1 + (3*1)= 
 1 + (3*1) = 4
4 Even     (2*1)+1+1= 
  (2*1)+1+1 = 4
4 Even   1+(1^2)= 1 Even   Answer:2p+q
Answer: B
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?  Choose the correct choice
A) 1 : 5	B) 1 : 4	C) 1 : 2	D) 1 : 1	E) 1 : 9

Solution: Ratio of investments of P and Q is 2 : 5   Total salary claimed by P = 12 * 5000 = Rs. 60000   Total profit = Rs. 2 lakhs.   Profit is to be shared = Rs. 140000   Share of P = (2/7) * 140000 = Rs. 400000   Share of Q = Rs. 100000   Total earnings of P = (60000 + 40000) = Rs. 100000   Ratio of their earnings = 1 : 1.Answer: 1 : 1
Answer: D
A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 3 days. For how many number of days should A and C should work together to complete the remaining work ?
Choose the correct choice from the following options:	A) 0.1	B) 0.2	C) 0.3	D) 0.4	E) 0.5

Solution: b work 1/8 *3=3/8   remaining work =1-3/8=5/8   a and c work together =1/6+1/12=3/12=1/4   remaining work is done in=8/5 *1/4=2/5= 
2/5 = 2/5 = around 0.4
0.4   ANSWER:0.4
Answer: D
Jane and Thomas are among the 8 people from which a committee of 4 people is to be selected. How many different possible committees of 4 people can be selected from these 8 people if at least one of either Jane or Thomas is to be selected?  Choose the most appropriate option.
A) 28	B) 46	C) 55	D) 63	E) 70

Solution: Solution:   J+T+6 = total 8 ,   we need to select at least one of the J and T or both= total 4 out of 8 - 4 out of 6   8554 - 6554   =55   Ans:55
Answer: C
A reduction of 20% in the price of salt enables a lady to obtain 5 kgs more for Rs.100, find the original price per kg?  Choose one:	A) 6	B) 1	C) 5	D) 4	E) 7

Solution: 100*(20/100)= 
100*(20/100) = 20
20 --- 5   ? --- 1=> Rs.4   100 --- 80   ? ---4 => Rs.5   Answer: 5
Answer: C