MU-NLPC/Calc-aqua_rat huggingface dataset:
A password of a computer consists of nine digits 1 through 7. What is the probability that the first digit is a 2 and the second digit is divisible by 3 ?  Choose the correct choice from the following
A) 1/9	B) 1/21	C) 1/24.5	D) 1/49	E) 1/98

Solution: There is one possibility out of seven that the first digit is correct, and two possibilities that the second digit is correct (3 and 6). We don't care about the remaining digits, so the overall probability is 1/7 * 2/7 or 1/24.5 (answer 1/24.5)
Answer: C
What will come in place of (a) in the following expression?
a - 796.21 + 498.05 = 215.50 – 425.01 Choose the correct answer:
A) 71.81	B) 81.71	C) 84.74	D) 88.65	E) None of these

Solution: Explanation:   a - 796.21 + 498.05 = 215.50 - 425.01   a = 88.65   ANSWER: 88.65
Answer: D
A person travels from P to Q a speed of 30 km/hr and returns by increasing his speed by 30%. What is his average speed for both the trips?	Answers
A) 33
B) 77
C) 48
D) 99
E) 34.5

Solution: Speed on return trip = 130% of 30 = 39 km/hr.   Average speed of trip = 30 + 39 /2 = 69/2= 
69/2 = 69/2 = around 34.5
34.5 km/hr   Answer : 34.5
Answer: E
There are 136 employees in Company X. If the number of employees who birth in June is the greatest, what is the least possible number of the employees in the company who birth in June? Choose the correct option:
A) 15	B) 11	C) 12	D) 13	E) 14

Solution: IMO 15   Take each answer choice and substract it from 136 and the divided this with 11. 15
Answer: A
A train passes a station platform in 50 sec and a man standing on the platform in 15 sec. If the speed of the train is 54 km/hr. What is the length of the platform?	Select: A) 227 B) 500 C) 550 D) 525 E) 171

Solution: Speed = 54 * 5/18= 
54 * 5/18 = 15
15 m/sec.   Length of the train= 15 * 15= 
15 * 15 = 225
225 m.   Let the length of the platform be x m . Then,   (x + 225)/50= 15 => x = 525m.   Answer:525
Answer: D
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is? Choose the correct choice from the following answers.
A) 1 hr B) 2 hr C) 7 hr D) 8 hr E) 4 hr

Solution: Let the duration of the flight be x hours. Then,   600/x - 600/(x + 1/2) = 200   x(2x + 1) = 3 2x2 + x - 3  (2  + 1)= 
 (2  + 1) = 3
3 2x2 + x - 3= 0   (2x + 3)(x - 1) = 0   x = 1 hr.   1 hrnswer:1 hr
Answer: A
On an order of 99 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Choose one
A) 0.1% B) 0.5% C) 1% D) 5% E) 10%

Solution: Clearly, the retailer gets 1 dozen out of 100 dozens free.   Equivalent discount = 1/100 * 100= 
1/100 * 100 = 1
1%.   Answer 1%) 1%
Answer: C
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:	Choose the correct choice from the following
A) 45km/hr  B) 50 km/hr  C) 54 km/hr  D) 55 km/hr  E) 60 km/hr

Solution: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.   ANSWER 50 km/hr
Answer: B
A set of 11 positive integers has an average of 26. Which of the following is the greatest possible value for the median of this set? Choose the correct choice from the following answers
A) 25  B) 30  C) 36  D) 45  E) 46

Solution: for the median to be max , we should take all the values below meadian to be the lowest and the remaining values to be the same..   here 1 is the lowest value(positive int) so the lowest 5 int will equal 5..   remaining 6= 26*11-5=281..   therefore each valueof these 6 int =281/6=46   ans 46
Answer: E
Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?	Choose the correct choice from the following options.
A) 32 B) 35 C) 39 D) 41 E) 43

Solution: 39   Option '39'
Answer: C
Two men started running simultaneously around a circular track of length 19200 m from the same point at speeds of 120 km/hr and 200 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions? Choose the correct choice from the following options:
A) 214 B) 215 C) 216 D) 217 E) 218

Solution: Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 19200 / (120 + 200)5/18 = 19200* 18 / 320 * 5 = 216 seconds.   Answer:216
Answer: C
There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?	Choose the correct choice from the following answers.
A) Rs. 34 B) Rs. 39 C) Rs. 42 D) Rs. 49 E) Rs. 51

Solution: Suppose the average join the mess , total expenditure = 35x + 42   Now, the average expenditure = (35x + 42)/ (35 + 7) = x – 1   or, 35x + 42 = 42x – 42   or, x = 12   Thus the original expenditure of the mess = 35 x 12 = Rs. 42   Rs. 42
Answer: C
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate? Choose the correct choice:
A) 228
B) 744
C) 255
D) 199
E) 231

Solution: W = 62% L = 38%   62% - 38% = 24%   24% -------- 288   62% -------- ?  62  - 38= 
 62  - 38 = 24
24%   24% -------- 288   62% -------- ?=> 744   Answer:744
Answer: B
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?	Choose the correct choice from the following options: A) 1 B) 2 C) 8 D) 7 E) 0

Solution: S = 4   M = x   DS = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4) = 2   x = 8   Answer: 8
Answer: C
The sum of the digits of a two digit number is 9 less than the number. Which of the following digits is at units place of the number?	Pick one
A) 1 B) 2 C) 3 D) Data inadequate E) None

Solution: Sol.   Let the ten's digit be x and unit's digit be y.   Then, (10x + y) - (x + y) = 9 or x = 1.   From the data, we cannot find y, the units digit.   So, the data is inadequate.   Answer Data inadequate
Answer: D
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
The total amount of bonus paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
Pick one:
A) 0.5%  B) 1%  C) 1.25%  D) 3%  E) 4%

Solution: Required percentage   =	[	(3.00 + 2.52 + 3.84 + 3.68 + 3.96)	x 100	]	%   (288 + 342 + 324 + 336 + 420)   =	[	17	x 100	]	%   1710   ~= 1%.   1%)
Answer: B
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 2 people take the trip rather than 8, how many more dollars, in terms of x, will it cost per person?	Choose the correct option
A) x/6 B) x/16 C) x/40 D) 3x/8 E) 3x/80

Solution: Just plugging in values   X= 16   Cost per person if we consider 2 = 8   Cost per person if we consider 8 = 2   Difference between costs is 6 dollars.   Plugging in the value of x into the answer choices, let's see which one yields a result of 6. And that is 3x/8.
Answer: D
If m/77 is an integer, then each of the following must be an integer EXCEPT Choose the correct choice: A) 3 B) 4 C) 5 D) 6 E) 13/2

Solution: Now plug m =77 into the answer choices:   A. (77- 28)/7 =7. This is an integer   B. (77+ 21)/7 =14. This is an integer   C. 14(77)/98 =11. This is an integer   D. (77^2 - 49)/49 =120. This is an integer   E. (77+ 14)/14 = 13/2. This is NOT an integer   Answer: 13/2
Answer: E
John & Mary go for an interview for 2 vacancies. The probability for the selection of John is 1/3 & whereas the probability forthe selection of Mary is 1/5. What is the probabilitynone of them are selected?	Pick one.
A) 2/11 B) 3/14 C) 8/15 D) 7/13 E) 8/11

Solution: Let A = the event that John is selected and B = the event that Dani is selected.   Given that P(A) = 1/3 and P(B) = 1/5   We know that A¯ is the event that A does not occur and B¯ is the event that B does not occur   Probability that none of them are selected   =P(A¯∩B¯)(∵ Reference : Algebra of Events)   =P(A¯).P(B¯) (∵ Here A and B are Independent Events and refer theorem on independent events)   =[ 1 - P(A) ][ 1 - P(B)]   =(1−13)(1−15)   =23×45=8/15   8/15
Answer: C
In a can, there is a mixture of milk and water in the ratio 1 : 5. If it is filled with an additional 2 litres of milk the can would be full and ratio of milk and water would become 3 : 5. Find the capacity of the can?  Answers:
A) 40
B) 44
C) 48
D) 8
E) 56

Solution: Let the capacity of the can be T litres.   Quantity of milk in the mixture before adding milk = 1/6 (T - 2)   After adding milk, quantity of milk in the mixture = 3/8 T.   3T/8 - 2 = 1/6=(T - 2)   10T = 96 - 16 => T = 8   Answer:8
Answer: D
Six family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
Select
A) 48
B) 56
C) 64
D) 72
E) 80

Solution: Let's consider Michael and Bobby as one unit.   There are 5! possible arrangements of 5 units.   Around a table, there would be repetitions of each arrangement, so we divide by 5.   Then there are 4! arrangements around a circular table.   For each arrangement, Michael and Bobby can switch places, so we multiply by 2.   The number of arrangements is 4!*2 = 48.   The answer is 48.
Answer: A
A reduction of 25% in the price of salt enables a lady to obtain 10kgs more for Rs.800, find the original price per kg?	Choose the correct option:  A) 25.67  B) 26.67  C) 27.2  D) 26.98  E) 27.76

Solution: Answer:	800*(25/100)= 
800*(25/100) = 200
200 --- 10   ? --- 1=> Rs.20   800 --- 600   ? --- 20 => Rs.26.67.Answer: 26.67
Answer: B
On a baseball team, 5 players including Alice want to play 1st base, 2nd base, or 3rd base. Before every game, the coach chooses a name randomly from a bag and this person plays 1st base. Then the coach chooses the next name randomly and this person plays 2nd base. The coach then chooses a third name randomly and this person plays 3rd base. What is the probability that Alice plays 1st, 2nd, or 3rd base?
Select.
A) 2/5  B) 3/5  C) 3/10  D) 7/10  E) 11/20

Solution: The total number of ways to choose three players is 5C3=10.   Excluding Alice, the number of ways to choose three players is 4C3=4.   P(Alice is not chosen)=4/10=2/5.   P(Alice is chosen)=1 - 2/5 = 3/5.   The answer is 3/5.
Answer: B
in a house there are two rooms in a cube form with surface area 150 and 96 respectively. then what is the ratio between their volumes? Choose the correct choice.
A) 125:64  B) 64:125  C) 5:4  D) 4:5  E) 1:2

Solution: 6a12:a22=150:96   a12:a22=25:16   a1:a2=5:4   then volume a13:a23=:125:64   the answer is 125:64
Answer: A
If A's height is 40% less than that of B, how much percent B's height is more than that of A?  Choose the correct option:
A) 66.66% B) 66.68% C) 66.766% D) 86.66% E) 66.65%

Solution: Excess of B's height over 66.66%'s = [(40/(100 - 40)] x 100%   = 66.66%   66.66%nswer: 66.66%) 66.66%
Answer: A
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
Choose the correct choice from the following answers
A) 3:4:4
B) 3:4:7
C) 3:4:3
D) 3:4:9
E) 3:4:1

Solution: A:3:4:7:C = (40000 * 36) : (80000 * 12 + 40000 * 24) : (120000 * 24 + 40000 * 12)   = 144:192:336   = 3:4:7   Answer: 3:4:7
Answer: B
The product of two successive numbers is 2652. Which is the smaller of the two numbers?
Choose the correct choice from the following options.
A) 51
B) 68
C) 57
D) 55
E) 37

Solution: 51   51   From the given alternatives,   51 × 52 = 2652   ∴ Smaller number = 51
Answer: A
An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price. If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?  Choose the correct choice from the following options:
A) 10%  B) 12%  C) 15%  D) 18%  E) 20%

Solution: Store makes 25% on WP so Store sold CD for $75 ($60*.25+$60). The question tells us that the store sold the CD 40% off its ORP so 75=.6(ORP)=125. From here we just need to answer the specific question of what percent of the ORP was the stores profit..hence 15=x/100(125)=12%;ANSWER:12%
Answer: B
The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 45, what is the value of a?	Choose the correct choice from the following.
A) 21 B) 25 C) 28 D) 30 E) 33

Solution: Let a=2k, b=3k, and c=4k.   a+b+c = 2k+3k+4k = 9k   Since the average is 45:   9k/3 2 +3 +4= 
2 +3 +4 = 9
9k   Since the average is 45:   9k/3= 45   3k = 45   k=15   Then a=30.   The answer is 30.
Answer: D
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Choose the correct option:
A) 15005
B) 15009
C) 15004
D) 15000
E) 150012

Solution: The ratio of their profits A:B = 8:12 = 2:3   Share of A in the total profit = 2/5 * 25000   = Rs.10000 Share of A in the total profit = 3/5 * 25000   = Rs.15000   Answer:15000
Answer: D
From the below series find the remainder? 1201 × 1203 ×1205 × 1207 is divided by 6.  Pick.
A) 3
B) 5
C) 7
D) 8
E) 9

Solution: If you don't know the above rule, this problem is really calculation intensive.   But by applying the above rule, when 1201, 1201, 1203, 1204 divided by 6, leaves remainders 1, 3, 5, 1. The product of these remainders = 15.   When 15 is divided by 6, Remainder is 3   3
Answer: A
The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 19students? Options
A) 14 years  B) 17 years  C) 19 years  D) 21 years  E) None

Solution: Solution   Sum of the ages of 14 students	= (16 x 35) - (14 x 21)   = 560 - 294.= 
560 - 294. = 266
266.   ∴ Required average= 266 / 19= 
266 / 19 = 14
14 years.   14 yearsnswer 14 years
Answer: A
In 15 year’s time the combined age of my four brothers will be 107. What will it be in the six year’s time?	Choose the correct choice from the following options
A) 61	B) 78	C) 71	D) 68	E) 94

Solution: C   71   Combined age in 15 years = 107.   4 × 15 = 60,   Therefore combined age now is 107– 60 = 47.   In 6 years time, therefore, combined age will be 47 + 24(4 x 6) = 71.
Answer: C
If x#y is defined to equal x^2/y for all x and y, then (-1#2)#-3 =  Choose one.
A) 1/12 B) 1/3 C) 1/2 D) -1/12 E) -4/3

Solution: (-1)^2 / 2 = 1/2   (-1/2)^2 /- 3 =- 1/12   so -1/12 is my answer
Answer: D
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both
A and B, working together to do same job Choose the correct choice:
A) 49
B) 249
C) 349
D) 449
E) None of these

Solution: Explanation:   In this type of questions, first we need to calculate 1 hours work, then their collective work as   A's 1 hour work is 1/8   B's 1 hour work is 1/10   (A+B)'s 1 hour work = 1/8 + 1/10   = 9/40   So both will finish the work in 40/9 hours   =   449   Answer: 449
Answer: D
If A lends Rs.1200 to B at 10% per annum and B lends the same sum to C at 18% per annum then the gain of B in a period of 2 years is? Choose the correct choice from the following choices.
A) 190  B) 188  C) 192  D) 145  E) 188

Solution: (1200*8*2)/100= 
(1200*8*2)/100 = 192
> 192   Answer: 192
Answer: C
Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 6 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Select the correct option.
A) 3 9/17 B) 5 1/3 C) 7 D) 7 1/5 E) 12

Solution: rate of machine x = 1000/12   (1000/12 + y)6=1000   y=500/6=250/3   250/3 * t = 1000   t=12   E. 12
Answer: E
If Sharon's weekly salary increased by 15 percent, she would earn $575per week. If instead, her weekly salary were to decreased by 12 percent, how much would she earn per week? Choose the correct answer
A) Rs.540
B) Rs.580
C) Rs.560
D) Rs.620
E) Rs.650

Solution: Soln:-   (575/115)112=560   In this case long division does not take much time.   (23/5)= 
(23/5) = 23/5 = around 4.6
4.6   4.6*112=Rs.560   ANSWER:Rs.560
Answer: C
Seed mixture X is 40% ryegrass and 60% bluegrass by weight; seed mixture Y is 25% ryegrass and 75% fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X? Select
A) 10% B) 33.33% C) 40% D) 50% E) 66.67%

Solution: x - wt of Mix X added   y - wt of Mix Y added   0.4x + 0.25y = 0.3(x+y)   0.1x = 0.05y   x/y = 5/10 = 1/2   y/x = 2   (y+x)/x = 3   => x/(y+x) * 100 = 100/3 = 33.33%   ANSWER:33.33%
Answer: B
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :	Choices:
A) 22
B) 21
C) 88
D) 37
E) 29

Solution: Explanation:   Lot the total number of workers be v Then,   8OOOv = (12000 * 7) + 6000 (v - 7) <=> 2000v = 42000 <=> v = 21   Answer: 21) 21
Answer: B
In an election between two candidates, 75% of the voters cast thier thier votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.	Choose the most appropriate option:
A) 15000
B) 17000
C) 16800
D) 16600
E) 15800

Solution: Let the number of votes enrolled be x. Then ,   Number of votes cast =75% of x. Valid votes = 98% of (75% of x).   75% of (98% of (75%of x)) =9261.   [(75/100)*(98/100)*(75/100)*x] =9261.   X = [(9261*100*100*100)/(75*98*75)= 
(9261*100*100*100)/(75*98*75) = 16_800
16800.   Answer is 16800.
Answer: C
What will come in place of the x in the following Number series? 6, 12, 21, 33 , 48 ,66 , x  Choose the correct choice from the following choices:
A) 33	B) 35	C) 39	D) 41	E) 87

Solution: The pattern is + 6, + 9, + 12, +15 + 18+ 21 â€¦â€¦â€¦..   So the missing term is = 66 + 21= 
66 + 21 = 87
87   ANSW87R : 87
Answer: E
In a shipment of televisions, 1/50 of the televisions are defective. What is the ratio of defective to nondefective televisions?
Choose the correct choice
A) 1/50	B) 2/50	C) 1/49	D) 2/49	E) 3/50

Solution: If 1/50 then   1 - 1/50 = 49 / 50 are not defective   So if x is the total number of TV sets, then (1/50)x are defective and (49/5)x are not defective. Hence the ratio of defective to non defective is given by   x(1 / 50) / x(49 / 50) = (1/50)(50/49) = 1/49   correct answer 1/49
Answer: C
What percent is 5 gm of 1 kg?
Choose the correct answer.
A) 0.5 % B) 1% C) 1.5% D) 2% E) 3%

Solution: 1 kg = 1000 gm   5/1000 × 100 = 500/1000   =1/2= 
1/2 = 1/2 = around 0.5
0.5 %   0.5 %)
Answer: A
There are cats got together and decided to kill the mice of 999964. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?  Choose the correct choice from the following
A) 941,1009  B) 991,1001  C) 991,1009  D) 791,1009  E) 994,1006

Solution: 999964 can be written as 1000000 â€“ 36   = 10002 â€“ 62 ie of the form a2-b2=(a+b)(a-b)   =(1000+6)*(1000-6)   = (1006)*(994)   Given that number of cats is less than number if mice.   So number of cats is 994 and number of mice were 1006   Answer 994,1006
Answer: E
The following operations are defined for real numbers.
a # b = a + b, if a and b both are positive else a # b = 1.
a ∇ b = ( a x b)a+b if a x b is positive else a ∇ b = 1.
(2 # 1 ) / (1 ∇ 2) =	Choose the correct choice from the following answers
A) 1/8  B) 1  C) 3/8  D) 3  E) 7

Solution: Explanation :   Here, a and b both are positive numbers.   Hence, the required value is (2 + 1) / 23 i.e 3 / 8.   Answer : 3/8
Answer: C
From a group of 21 astronauts that includes 12 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?	Choose the correct choice from the following options.
A) 432
B) 594
C) 864
D) 1330
E) 7980

Solution: C112∗C29=12∗36=432, where C112 is ways to select 1 astronaut with previous experience out of 12 and C29 is ways to select 2 astronauts without experience out of 9 remaining astronauts (21-12=9).   432nswer: 432.
Answer: A
If x=3, which of the following is(are) true? I. x^2=2x II x/3 = 1 III |x|=-x	Choose the most appropriate option:
A) I only B) III only C) II only D) I,II only E) I,III only

Solution: 3/3= 
3/3 = 1
1   Answer : II only
Answer: C
In a survey of parents, exactly 3/4 of the mothers and 9/10 of the fathers held full-time jobs. If 40 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs? Choose the correct choice from the following choices:
A) 27%  B) 21%  C) 19%  D) 18%  E) 16%

Solution: Let the total number of parents = 100   Number of women = 40   Number of men = 60   Number of mothers who held full time jobs = 3/4*40= 
3/4*40 = 30
30   Number of fathers who held full time jobs= 9/10*60= 
9/10*60 = 54
54   Total number of parents who held full time jobs= 84   Total number of parents who did not hold jobs = 100 - 84= 
100 - 84 = 16
16   Alternatively ,   Percentage of women= 40%   Percentage of women who did not hold full time jobs = (1-3/4)*100= 
(1-3/4)*100 = 25
25% of all mothers did not have full time jobs   25% of 40 % --> 10 % of the total parents   Percentage of men= 60%   Percentage of men who held full time jobs = (1-9/10)*100= 
(1-9/10)*100 = 10
10% of all fathers did not have full time jobs   10 % of 60% --> 6 % of the total parents   Therefore , percentage of parents who did not hold full time jobs= 10+6= 
10+6 = 16
16%   Answer 16% - 16%
Answer: E
If the fifth day of a month is two days earlier than Sunday, What day will it be on the tenth day of the month? Choose the correct choice from the following answers:
A) Saturday  B) Monday  C) Sunday  D) Wednesday  E) Friday

Solution: Explanation:   Given that fifth day of a month is two days earlier than Sunday   => Fifth day is Friday   => 12th is Friday   => 10th is Wednesday   Answer: Option Wednesday
Answer: D
In a group of cows and chickens, the number of legs was 10 more than twice the number of heads. The number of cows was: Choose the correct choice from the following answers: A) 5 B) 7 C) 10 D) 12 E) 14

Solution: Let the number of cows be x and their legs be 4x.   Let the number of chicken be y and their legs be 2x.   Total number of legs = 4x + 2y.   Total number of heads = x + y.   The number of legs was 10 more than twice the number of heads.   Therefore, 2 × (x + y) + 10 = 4x + 2y.   or, 2x + 2y + 10 = 4x + 2y.   or, 2x + 10 = 4x [subtracting 2y from both sides].   or, 10 = 4x – 2x [subtracting 2x from both sides].   or, 10 = 2x.   or, x = 5 [dividing by 2 on both sides].   Therefore, the number of cows = 5.   Correct 5nswer:5)5
Answer: A
A and B enter into partnership with capitals in the ratio 4 : 3. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 5 : 6. Find how long B remained in the business?	Choices:	A) 9 months	B) 8 months	C) 16 months	D) 7 months	E) None of these

Solution: Initially A’s investment = 4x and B’s investment = 3x   Let B remain in the business for ‘n’ months.   ⇒ 4x × 10 : 3x × n = 5 : 6   ∴ 4x × 10 × 6 = 3x × n × 5   ⇒ n = 16   Answer 16 months
Answer: C