MU-NLPC/Calc-aqua_rat huggingface dataset:
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 25km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is	Choose one:
A) 8.95km/hr
B) 22.2km/hr
C) 27.8km/hr
D) 37.9km/hr
E) 8.45km/hr

Solution: average speed = (2*25*20)/25+20 km/hr   =22.22 km/hr   Answer (22.2km/hr)
Answer: B
A and B complete a job in 6 days. A alone can do the job in 9 days. If B works alone, how many days will it take to complete the job?	Select:
A) 12
B) 15
C) 18
D) 21
E) 24

Solution: The rate of A and B is 1/6   A's rate is 1/9   B's rate is 1/6 - 1/9 = 1/18   B can complete the job in 18 days.   The answer is 18.
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good? Select the correct option.
A) 125/128  B) 125/120  C) 125/126  D) 125/125  E) 125/121

Solution: Required probability = 1 - 1/126   = 125/126   Answer: 125/126
Answer: C
The volume of a cube is 1728 cc. Find its surface?	Choose the correct option:
A) 864
B) 209
C) 278
D) 276
E) 280

Solution: a3 = 1728 => a = 12   6a2 = 6 * 12 * 12= 
6 * 12 * 12 = 864
864   864nswer:864
Answer: A
Ram is working on a set of Data Sufficiency problems for his December GMAT: a geometry problem, an algebra problem, and a data interpretation problem. He has determined that statement 1 of the geometry problem is insufficient on its own, that both statement 1 and 2 of the algebra problem are insufficient on their own, and that statement 2 of the data interpretation problem is insufficient on its own. If the probabilities are expressed as percents R, approximately how much greater is the probability that all three answers are “C” after Ram figures out that statement 1 of the data interpretation problem is also insufficient on its own?
Choose the correct option:
A) R=2.3% B) R=2.8% C) R=3.3% D) 5.6% E) 8.3%

Solution: Step 1: Figure out what we need to know.We have two probabilities that we need to figure out: the one before Raj figures out that statement 1 of the data interpretation problem is also insufficient, and the one after. The answer is the difference between them, in the form of a percent.   Step 2: The first probability.   If statement 1 of the geometry problem is insufficient, then the only valid answer choices are B, C, and E; the probability that it is C is 1/3.   If both statements of the algebra problem are insufficient on their own, then the only remaining valid answers are C and E; the probability that it is C is 1/2   If statement 2 of the data interpretation problem is insufficient, then the remaining answers are A, C, and E, and the probability that C is correct is 1/3.   The probability of all three occurring is the product of the probability fractions: (1/3)*(1/2)*(1/3) = 1/18.   Step 3: The second probability.   Only the third problem has changed; if Raj now knows that statement 1 is also insufficient, the valid answer choices are only C and E, leaving a 1/2 probability that the answer is C.   The probability of all three occurring is still the product of those fractions, but this time they are (1/3)*(1/2)*(1/2) = 1/12.   Step 4: The answer.Note that here, as will sometimes happen on the GMAT, values that you compute “along the way” appear as wrong answer choices. This problem calls for the difference between our two numbers, (1/12)-(1/18) = 1/36, which is a 2.77777% chance, rounded to 2.8% —the correct answer is Choice R=2.8%.
Answer: B
The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
Options.
A) 31 B) 66 C) 88 D) 99 E) 12

Solution: Total score of the batsman in 20 matches = 800.   Total score of the batsman in the next 10 matches = 130.   Total score of the batsman in the 30 matches = 930.   31verage score of the batsman = 930/30 = 31.31nswer:31
Answer: A
Suppose in 1960, the consumer price index was 70 while in 2015 it is 280. What monthly salary in 2015 would have the same purchasing power as a monthly salary of 800 dollars in 1960?	Choose the correct choice from the following answers
A) 2100	B) 3200	C) 2030	D) 3000	E) None

Solution: Solution:   Let x be the monthly salary in 2015.   x/800 =280/70   x × 70 = 280 × 800   70x = 224000   70/70 x= 224000/70= 
224000/70 = 3_200
3200   Answer 3200
Answer: B
Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
Answers:
A) 2,145 B) 6,435 C) 12,100 D) 12,870 E) 25,740

Solution: Total 3 letter passwords = 26 * 25 * 24= 
26 * 25 * 24 = 15_600
15600   Total letters= 26 = symmetrical letters (11) + asymmetrical letters (x) => x = 15   Total no. of 3 letters passwords using asymmetrical letters = 15 * 14 * 13= 
15 * 14 * 13 = 2_730
2730 (no repetition allowed)   Hence, no. of 3 letter passwords using atleast one symmetrical letter= 15600 - 2730= 
15600 - 2730 = 12_870
12870 ---> Option 12,870
Answer: D
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2.4% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Choose the correct choice from the following:
A) 2.04% B) 6.12% C) 8% D) 8.25% E) 10%

Solution: If the interest were compounded annually instead of quarterly then in one year the interest would be 2.4*4= 
2.4*4 = 9.6
9.6%. Now, since the interest is compounded quarterly then there would be interest earned on interest (very small amount) thus the actual interest would be a little bit more than 9.6%,   Answer: 10%
Answer: E
The center of a circle is (5, -1). (5, 7) is outside the circle, and (1, -1) is inside the circle. If the radius, r, is an
integer, how many possible values are there for r? Choose the most appropriate option.
A) 3	B) 2	C) 6	D) 12	E) 1

Solution: r must be greater than 4 and smaller than 8, hence r=5,6 or 7.   Answer 6
Answer: C
Nil and Ethan are brothers. They left their home
at the same time and drove to the same beach.
Nil drove at a speed of 50 miles per hour. Ethan
drove at a speed of 20 miles per hour. Nil
arrived at the beach 0.5 hour earlier than Ethan.
What is the distance between their home and the
beach?  Choose the correct choice from the following answers:
A) 60 miles B) 50 miles C) 40 miles D) 30 miles E) 20 miles

Solution: Every hour, Nil gets ahead of Ethan  50 - 20= 
 50 - 20 = 30
30 miles. When Nil arrived at the beach, Ethan   is only 20 × 0.5= 10 miles behind. That tells us   they only drove 1 hour when Nil arrived at the   beach.   The distance between their home and the beach   is   Nil’s speed × Nil’s time   = 50 × 1 = 50 miles.   correct answer 50 miles
Answer: B
Ram and Krishna start from A and B respectively at the same time and travel towards each other at constant speeds along the same route. Ram meets Krishna at point C on the road which is 900m away from starting point A and 600m away from point B. The time taken by Ram to reach point B is 20minutes. Find the constant speed of Krishna. Pick:
A) 50 m/m
B) 60 m/m
C) 40 m/m
D) 53.5 m/m
E) none of the above

Solution: total distance from A to B-   A - C = 900m, B - C = 600m;   therefore A-B = 1500m;   Vr=1500/20= 
1500/20 = 75
75 m/m;   t-time taken by Ram for AB meet,   t=900/75= 
900/75 = 12
12 minutes= Time taken by Krishna for AB meet.   therefore,   Vk=600/12= 
600/12 = 50
50m/m.   option 50 m/m
Answer: A
Rahul can finish one-fifth of hhis homework in one hour.Neha can finish three-seventh of her homework in one hout thirty minutes and riya can finish three fourth of her homework in three hours thirty minutes.If all of them start their homework at 12:00pm and can go to play as soon as they all finish their homework,when can they start to play,if they take a break at 3:30pm for thirty minutes?	Choose the correct option
A) 5.00pm
B) BY 5:30 pm
C) 4.40pm
D) 6.30pm
E) 3.30pm

Solution: Let the work be 1   Then Rahul do 1/5 work in 60min   So Rahul do 1 work in 300 min   Then Neha do 3/7 work in 90min   So Neha do 1 work in 210min   Then Riya do 3/4 work in 210min   So Riya do 1 work in 280 min   BY 5:30 pmy 300min i.e 5hr all will complete their work so   12-1,1-2,2-3,3-3:30, 4-4:30 ,4:30-5:30   BY 5:30 pmy 5:30 they all go to play   ANSWER:BY 5:30 pm
Answer: B
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?  Choose one:	A) 11	B) 15	C) 18	D) 77	E) 12

Solution: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9   => 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18   => x = 18.   Answer: 18
Answer: C
An engagement team consists of a project manager, two team leaders, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?  Pick
A) 25  B) 35  C) 150  D) 210  E) 300

Solution: Answer= Total number combinations - Total number of combinations with constraints   Total number of combinations = 21501*31502*71504= 210   Total number of combinations with constraints = 21501*31502*51502=60   Answer=210-60= 
210-60 = 150
150   ANSWER:150
Answer: C
A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $16 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item? Choose one:  A) $20  B) $21  C) $22  D) $23  E) $24

Solution: Let x be the price that buyers see online.   The distributor wants to receive 1.2(original price) which should be 80% of x.   1.2(16) = 0.8x   x = 1.2(16) / 0.8 = 1.5(16) = $24   The answer is $24.
Answer: E
112 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?  Choose the correct choice from the following choices.
A) 66
B) 26
C) 49
D) 27
E) 11

Solution: x/7 = y/9 => x:y = 7:9   7/16 * 112= 
7/16 * 112 = 49
49   Answer: 49
Answer: C
An employee’s annual salary was increased 50%. If her old annual salary equals $80,000 , what was the new salary?	Pick one:	A) $128,000	B) $120,000	C) $110,000	D) $139,000	E) $125,000

Solution: Old annual salary = $80,000   Salary increase = 50%.   Original salary = $80,000 *50/100   = $40,000   new salary = $80,000+$40,000   =$120,000   Hence $120,000.
Answer: B
Tom read a book containing 560 pages by reading the same number of pages each day. If he would have finished the book 5 days earlier by reading 16 pages a day more, how many days did Tom spend reading the book?	Choose the correct choice from the following options.
A) 19	B) 18	C) 9.12	D) 20	E) None

Solution: Actually u can set up 2 equation   P--stands for the pages   D--stands for the days   1) P*D=560(we want to find the Days, soP=560/D)   2) (P+16)(D-5)=560 => PD-5P+16D-80=560   as the 1) stated u can put 1) into 2)   => 560-5P+16D-80=560 => 16D-5P=80   put the bold one into it => 16D-5(560/D)=80   the we get the final equation 16D^2-2800=80D (divide 16)   => D^2-5D-175=0   (D-15)(D+10)=0 so D=9.12days Ans: 9.12
Answer: C
If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?  Answers:
A) 9:6:7	B) 9:6:2	C) 9:6:8	D) 9:6:4	E) 9:6:1

Solution: A:B = 1/2:1/3 = 3:2   B:C = 1/2:1/3 = 3:2   --------------------   A:B:C = 9:6:4   Answer: 9:6:4
Answer: D
At a party, there were five times as many females as males and four times as many adults as children. Which of the following could NOT be the number of people at the party?
Choose the correct choice from the following answers:
A) 380  B) 250  C) 210  D) 120  E) 72

Solution: Five times as many females as males --> F = 5M.   Three times as many adults as children --> (F + M) = 4C.   The number of people at the party = F + M + C = 4C + C = 5C.   The number of people at the party must be a multiple of 5. The only answer choice which is NOT a multiple of 5 is E.   Answer: 72
Answer: E
Using all the letters of the word "THURSDAY", how many different words can be formed?	Pick one:
A) 8!  B) 1  C) 7  D) 6  E) 5

Solution: Total number of letters = 8   Using these letters the number of 8 letters words formed is 8P8 = 4.   8!nswer: 8!
Answer: A
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?  Choose the correct choice from the following
A) 21:22 B) 17:18 C) 8:9 D) 9:8 E) None of them

Solution: Originally, let the number of boys and girls in the college be 7x and 8x respectively.   Their increased number is (120% of 7x) and (110% of 8x).   = (120/100) 7x and (110/100) 8x   = 42x/5 and 44x/5   Therefore, The required ratio = (42x/5):(44x/5)   = 21 : 22   21:22nswer is 21:22.
Answer: A
There are three departments having students 64,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required? Choose the most appropriate option
A) 73  B) 74  C) 75  D) 76  E) 77

Solution: WE NEED TO TAKE GCD WHICH IS 2   THUS ALL THE ROOMS WILL HAVE 2 STUDENTS OF THE SAME DEPT   1) 64/2 = 32   2) 58/2 = 29   3) 24/2 = 12   TOTAL NO. OF MIN ROOMS REQD = 32+12+29= 
32+12+29 = 73
73   73NSWER:73
Answer: A
A girl sold a book at a profit of 7%. Did she sold it for Rs.7.50 more, 22% would have been gained. Find the CP?  Select the correct option: A) 20% B) 30% C) 50% D) 60% E) 70%

Solution: 50%   50%
Answer: C
If the probability that Green Bay wins the Super Bowl is 1/12 and the probability that Milwaukee wins the World Series is 1/20, what is the approximate probability that either Green Bay wins the Super Bowl or Milwaukee wins the World Series?	Choose the correct option
A) 1/240  B) 1/12  C) 1/8  D) 1/7  E) 4/3

Solution: P(AorB)=P(A)+P(B)−P(AandB)P(AorB)=P(A)+P(B)−P(AandB)   P(AandB)=P(A)∗P(B)P(AandB)=P(A)∗P(B)   1/12 + 1/20 - (1/12 * 1/20)   = 5/60 + 3/60 - 1/120   = 8/60 - 1/120   = 16/120 - 1/120   = 15/120   = 1/8   The correct answer is 1/8.
Answer: C
A man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is
Choose the correct choice from the following choices:	A) 26 years	B) 18 years	C) 20 years	D) 22 years	E) None

Solution: Solution   Let the son's present age be x years .Then, man's present age	= (x+28)years.   Then	â€¹=â€º(x+28)+2= 2(x+2)   â€¹=â€ºx+30=2x+4   x= 26.   26 yearsnswer 26 years
Answer: A
10, 20, 12, 24, 16, 32, ? Answers:
A) 20	B) 21	C) 22	D) 23	E) 24

Solution: 24   24   This is an alternating multiplication and subtracting series with a pattern x2, -8, x2, -8.
Answer: E
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?  Select:
A) 21 B) 55 C) 66 D) 77 E) 81

Solution: Let the pipe B be closed after x minutes.   30/16 - x/24 = 1 => x/24 = 30/16 - 1 = 14/16   => x = 14/16 * 24= 
14/16 * 24 = 21
21.   21nswer:21
Answer: A
Puzzle !!! 🙂
if
111 = 09
444 = 12
777 = 15
then
888 = ??? Select
A) 13
B) 17
C) 18
D) 11
E) 15

Solution: 15   15   One+one+one(3+3+3)=09   Four+Four+Four (4+4+4)= 
 (4+4+4) = 12
12   Seven+Seven+Seven  (5+5+5)= 
  (5+5+5) = 15
15   Therefore   15ight+15ight+15ight (5+5+5)= 
 (5+5+5) = 15
15
Answer: E
In a consumer survey, 65% of those surveyed liked at least one of three products: 1, 2, and 3. 40% of those asked liked product 1, 35% liked product 2, and 15% liked product 3. If 7% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?	Choose the correct choice from the following options
A) 12 B) 14 C) 16 D) 18 E) 20

Solution: 40 + 35 + 15= 
40 + 35 + 15 = 90
90   This number includes some people counted twice and some people counted three times.   90 - 65= 
90 - 65 = 25
25, and this number represents people counted twice or three times.   7% of the people are counted two extra times.   The percentage of people counted one extra time is 25 - 7(2)= 11.   The percentage of people who liked more than one product is 7% + 11% = 18%.   The answer is 18.7  + 11= 
7  + 11 = 18
18%.   The answer is 18.
Answer: D
A man can row upstream at 10 kmph and downstream at 20 kmph, and then find the speed of the man in still water?
Answers:	A) 11	B) 77	C) 25	D) 88	E) 34

Solution: US = 20   DS = 30   M = (30 + 20)/2= 
(30 + 20)/2 = 25
25   Answer:25
Answer: C
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Select the correct option:  A) 72  B) 72.9  C) 73  D) 74  E) 74.5

Solution: Let the initial quantity of milk in vessel be T litres.   Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.   Quantity of milk finally in the vessel is then given by [(T - y)/T]n * T   For the given problem, T = 90, y = 9 and n = 2.   Hence, quantity of milk finally in the vessel   = [(90 - 9)/90]2 (90) = 72.9 litres.   ANSWER:72.9
Answer: B
In a forest 150 deer were caught, tagged with electronic markers, then released. A week later, 50 deer were captured in the same forest. Of these 50 deer, it was found that 20 had been tagged with the electronic markers. If the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Select:  A) 150  B) 6,000  C) 1,250  D) 1,500  E) 2,500

Solution: The percentage of tagged deer in the second sample = 20/50*100= 
20/50*100 = 40
40%.   So, 150 tagged deers comprise 10% of total # of deers --> total # of deers= 150*40 = 6,000.   Answer: 6,000
Answer: B
What is the sum of all even numbers from 1 to 801?	Select.
A) 160400 B) 281228 C) 281199 D) 122850 E) 128111

Solution: Explanation:   800/2= 
800/2 = 400
400   400 * 401= 
400 * 401 = 160_400
160400   160400nswer: 160400
Answer: A
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?  Choose the correct answer:
A) 480
B) 500
C) 300
D) 550
E) 400

Solution: 1/x - 1/20 = -1/24   x = 120   120 * 4= 
120 * 4 = 480
480   480NSWER 480
Answer: A
Of the diplomats attending a summit conference, 25 speak French, 32 do not speak Russian, and 20% of the diplomats speak neither French nor Russian. If 10% of the diplomats speak both languages, then how many diplomats attended the conference? Choose the correct choice from the following answers:
A) 72 B) 70 C) 108 D) 120 E) 150

Solution: {Total} = {French} + {Russian} - {Both} + {Neither}   {Total} = 25 + ({Total} - 32) - (0.1*{Total}) + 0.2*{Total}   Solving gives {Total} = 70.   Answer: 70.
Answer: B
A bank pays interest to its customers on the last day of the year. The interest paid to a customer
is calculated as 10% of the average monthly balance maintained by the customer. John is a
customer at the bank. On the last day, when the interest was accumulated into his account, his
bank balance doubled to $5680. What is the average monthly balance maintained by John in his
account during the year?  Choices.
A) 2840
B) 5680
C) 6840
D) 7540
E) 28400

Solution: Soln:-   Bank balance is doubled with accumulation of interest to 5680..   this means INTEREST is   5680/2= 
  5680/2 = 2_840
2840 for entire year..   although since interest is 10% of avg MONthly balance, it becomes 28400..   ANSW28400R:28400
Answer: E
In a hostel there were 100 students. To accommodate some more students the average budget is decreased by rupees 10. But total expenditure increased by Rs.400. If the total expenditure of the hostel now 5400, find the number of student joined? Choose the correct option:
A) 30  B) 20  C) 35  D) 32  E) 40

Solution: Let average is x   100x + 400 = 5400   x = 50   let the number of student joined is y   (100+y)*(50-10)=5400   y = 35   Answer:32
Answer: D
Which one of the given numbers is completely divisible by 45? Choose the correct choice from the following answers:
A) 202860 B) 165642 C) 112330 D) 112332 E) None of these

Solution: To be divisible by 45 number has to be divisible by both 9 and 5.   If number ends with zero or five then it'll be divisible by 5.   For 9, add all the digits and if addition of all the digits is divisible by 9 then number'll be divisible by 9.   So, 202860 => 2+0+2+8+6+0= 
2+0+2+8+6+0 = 18
18 which is divisible of 9. Last digit is 0, means divisible by 5.   So, 202860   202860NSWER:202860
Answer: A
lexus car agency has 243 cars.he sold some cars at 9% profit and rest at 36% profit thus he gains 17% on the sale of all his cars.the no. of cars sold at 36% profit is? Choose the most appropriate option
A) 36 B) 37 C) 72 D) 39 E) 40

Solution: ratio of 36% profit cars to 9% profit cars = 8:19   so no. of cars sold at 36% profit = 243*8/27= 
243*8/27 = 72
72 cars   ANSWER:72
Answer: C
39 persons can repair a road in 12 days, working 10 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?	Choose the correct choice: A) 10 B) 13 C) 14 D) 15 E) 26

Solution: Let the required number of days be x.   Less persons, More days (Indirect Proportion)   More working hours per day, Less days (Indirect Proportion)   Persons	30	:	39	:: 12 : x   Working hours/day	6	:	10   30 x 6 x x = 39 x 10 x 12   x =	(39 x 10 x 12)/(30 x 6)   x = 26.   ANSW26R:26
Answer: E
How many zeros does 65! end with? Choose the correct option.
A) 20
B) 15
C) 25
D) 30
E) 32

Solution: According to above 65! has 65/5+65/25=13+2= 
13+2 = 15
15 trailing zeros.   Answer: 15.
Answer: B
A sum of money becomes 7/6 of itself in 5 years at a certain rate of simple interest. The rate per annum is?	Select the correct option:
A) 20/7
B) 20/3
C) 23/6
D) 10/3
E) 10/7

Solution: Let sum = x. Then, amount = 7x/6   S.I. = 7x/6 - x = x/6; Time = 5 years.   Rate = (100 * x) / (x * 6 * 5) = 10/3 %.   Answer:10/3
Answer: D
A train 150 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train? Choose the correct choice from the following
A) 2 Sec	B) 6 Sec	C) 8 Sec	D) 9 Sec	E) 5 Sec

Solution: 9 Sec   9 Sec   Speed of the train relative to man = (68 - 8) kmph   = (60* 5/18) m/sec = (50/3)m/sec   Time taken by the train to cross the man   = Time taken by It to cover 150 m at 50/3 m / sec = 150 *3/ 50= 
150 *3/ 50 = 9
9sec
Answer: D
In an election between two candidates, 70% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6552000 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.	Select:  A) 13000000  B) 12500  C) 14000  D) 12000  E) None of these

Solution: Explanation :   Solution: let the total number of votes enrolled be x. then, number of votes cast = 70% of x. valid votes = 96% of(70% of x). .'. 75% of(96% of (70% of of x)) = 6552000.   (75/100 * 96/100 * 70/100 * x) = 6552000.   => x = (6552000*100*100*100)/(75*96*70)= 
(6552000*100*100*100)/(75*96*70) = 13_000_000
13000000   13000000nswer : 13000000
Answer: A
Simplify: 0.3*0.3+0.3*0.3
Choose the correct option.
A) 0.52	B) 0.42	C) 0.18	D) 0.64	E) 0.46

Solution: Given exp. = 0.3*0.3+(0.3*0.3) = 0.09+0.09= 
0.09+0.09 = 0.18
0.18   Answer is 0.18.
Answer: C