MU-NLPC/Calc-aqua_rat huggingface dataset:
A speed of 14 metres per second is the same as
Choose the most appropriate option:  A) 28 km.hr  B) 46.6 km/hr  C) 50.4 km/hr  D) 70 km/hr  E) None

Solution: Solution   Speed	= 14 m / sec   =(14 x 18 / 5)km/hr   = 50.4 km/hr   Answer 50.4 km/hr
Answer: C
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 6 minutes, then the area of the park (in sq. m) is Choose the correct choice from the following answers:  A) 153200  B) 153400  C) 153600  D) 154000  E) 60000

Solution: Perimeter = Distance covered in 6 min. = 12000 x 6 m = 1000 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1000 or x = 100.   Length = 300 m and Breadth = 200 m.   Area = (300 x 200) m2 = 60000 m2.   60000
Answer: E
A certain restaurant offers 3 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
Pick: A) 8 B) 12 C) 15 D) 21 E) 9

Solution: As dessert platter should contain equal number of kinds of cheese and fruits, desert can contain:   A. 2 kinds of cheese and 2 kinds of fruits --> 3C2*2C2=3*1= 
3*1 = 3
3   B. 1 kind of cheese and 1 kind of fruit --> 3C1*2C1=3*2= 
3*2 = 6
6   A+B=3+6= 
3+6 = 9
9   Answer: 9.
Answer: E
An equity analyst needs to select 2 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 5, in how many ways can she choose and rank her top 2 picks?  Choose the correct choice from the following:
A) 20	B) 30	C) 10	D) 40	E) 80

Solution: Number of ways of choosing 2 stocks = 5C2   Number of ways of ranking the chosen stocks = 2!   Hence total ways of chosing and ranking = 5C2 * 2! = 20   Correct Option: 20
Answer: A
The average age 12 members of a committee are the same as it was 4 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choose the correct choice.
A) 20 years	B) 21 years	C) 48 years	D) 29 years	E) 30 years

Solution: 12 * 4= 
12 * 4 = 48
48 years   Answer:48 years
Answer: C
A box contain the number of balls which is as much greater than 44 is less than 70. The number of balls is? Options.
A) 47
B) 114
C) 74
D) 67
E) 57

Solution: Answer   Let the number be x.   Then, x - 44= 70- x   â‡’ 2x = 70+ 44= 
70+ 44 = 114
114   â‡’ 2x= 114   âˆ´ x = 57   Correct Option: 57
Answer: E
Rs.8000 become Rs.11819 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Answers:
A) 6 YEARS	B) 7	C) 5	D) 3	E) 8

Solution: 8xplanation:   9261 = 11819(21/20)N   (21/20)8 = (21/20)N => N = 8   Answer: Option 8
Answer: E
A train 150 m long is running with a speed of 98 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going	Choose the correct choice.
A) 5 sec  B) 6 sec  C) 7 sec  D) 8 sec  E) 9 sec

Solution: Explanation:   Speed of the train relative to man = (98 - 8) kmph   = (90× 5/18) m/sec = 25 m/sec   Time taken by the train to cross the man I   = Time taken by It to cover 150 m at 25m / sec = 150 ×1/25 sec = 6sec   Answer: Option 6 sec
Answer: B
If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
Choose the correct option:	A) 20%	B) 76%	C) 26%	D) 18%	E) 26%

Solution: Explanation:   Let C.P. of each article be Re. 1.   Then, C.P. of 50 articles = Rs. 50;   S.P. of 50 articles = Rs. 40.   Loss % = 10/50 * 100= 
10/50 * 100 = 20
20%   20%nswer: 20%
Answer: A
300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 15% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase?  Pick.
A) 31 B) 25 C) 35 D) 45 E) 75

Solution: Out of 300 - 180 purchased for less than 100$120 for more   Out of 300 - 120 responded as satisfied and 180 responded disatisfied   Out of 180 ( Purchased less than 100$) - 15% = 27 responded as satisfied, So remaining Satisfied are  120 - 27= 
 120 - 27 = 93
93   so 93 is what percentage of 300 - 31%   So the answer should be 31
Answer: A
If p≠q and p·q≠0, which of the following may be true?
Choose the most appropriate option:
A) (p+q)(p-q)=0  B) p=q  C) p^2=q^2  D) p.q=0  E) p^2+q^2=0

Solution: except (p+q)(p-q)=0 all answer are not as per qestion   (p+q)(p-q)=0
Answer: A
A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Choose the correct option:
A) 32	B) 28	C) 299	D) 277	E) 21

Solution: S = (100 + 300)/45 = 400/45 * 18/5= 
400/45 * 18/5 = 32
32   32nswer: 32
Answer: A
What is the square root of 151,321?	Choose one:  A) 476  B) 389  C) 497  D) 411  E) 524

Solution: 1) Checking the last digits in the answer options A, C, E are out since last digit of the square is known to be 1.   2) B = 389^2 and D = 411^2   B = (400-11)^2 and D = (400 + 11)^2   Since we need the answer less than 160000 => D is out.   Thus we have 389 as the ans.
Answer: B
The ratio of pens to pencils is 5 to 6. There are 9 more pencils than pens. How many pencils are there?	Choose the correct option
A) 36	B) 42	C) 48	D) 54	E) 60

Solution: Let the number of pens be 5x and the number of pencils be 6x.   6x - 5x = 9   x = 9   The number of pencils is 54.   The answer is 54.
Answer: D
In what ratio must rice of Rs.25 per kg be mixed with rice of Rs.12 per kg so that cost of mixture is Rs.20 per kg? Choose the correct choice from the following answers:
A) 8:5  B) 5:8  C) 20:25  D) 12:20  E) 25:12

Solution: (20-12)/(25-20=8/5=8:5   8:5NSWER:8:5
Answer: A
A military camp has a food reserve for 250 person for 40 days. If after 10 days 50 more person are added to the camp, find the number of days the reserve will last for?
Choose the correct choice from the following
A) 20  B) 36  C) 25  D) 42  E) None of these

Solution: Explanation :   As the camp has a reserve for 250 person that can last for 40 days, after 10 days the reserve left for 250 person is for 30 days. Now 50 more person are added in the camp.   Hence, the food reserve for 300 person will last for:   250:300::x:30 ..(it is an indirect proportion as less men means more days)   x = (250*30)/300= 
(250*30)/300 = 25
25 days   Answer : 25
Answer: C
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is?  Choose the correct choice from the following answers: A) 5/8 B) 5/9 C) 5/7 D) 5/5 E) 5/1

Solution: No two dice show same number would mean all the three faces should show different numbers. The first can fall in any one of the six ways. The second die can show a different number in five ways. The third should show a number that is different from the first and second. This can happen in four ways.   Thus   6 * 5 * 4= 
  6 * 5 * 4 = 120
120 favourable cases.   The total cases are   6 * 6 * 6= 
  6 * 6 * 6 = 216
216.   The probability= 120/216 = 5/9.   Answer: 5/9
Answer: B
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?  Choose the correct choice
A) 2400
B) 299
C) 277
D) 268
E) 266

Solution: 1200 * 12: x * 9 = 2:3   x = 2400   2400nswer: 2400
Answer: A
When certain number of marbles are divided into groups of 4, one marble remained. When the same number of marbles are divided into groups of 7 and 12 then 4, 9 marbles remained. If the total marbles are less than 10,000 then find the maximum possible number of marbles.	Choose the correct choice from the following choices.
A) 9992  B) 9993  C) 9994  D) 9995  E) 9996

Solution: Ans: In this case the difference between the remainders and divisors is constant. i.e., 3. so N = K (LCM (4, 7, 12) - 3 = 84K - 3. Where K = natural number.   9993ut we know that 84K - 3 < 10,000 ⇒⇒ 84 x 119 - 3 < 10,000 ⇒⇒  9996 - 3= 
 9996 - 3 = 9_993
9993   Answer 9993
Answer: B
What is the least value of x. So that 23x59 is divisible by 3.  Choose one:  A) 2  B) 0  C) 1  D) 3  E) 4

Solution: Explanation:   The sum of the digits of the number is divisible by 3, then the number is divisible by3.   2 + 3 + x + 5 + 9 = 19 + x   Least value of x may be 2   Therefore  19 + 2= 
 19 + 2 = 21
21 is divisible by 3.   2nswer: Option 2
Answer: A
Sheik Abdullah decides to buy 3 new cars for his collection. If he has to choose between eight different cars, what is the number of purchasing possibilities he has?  Select the correct option:	A) 6	B) 28	C) 56	D) 112	E) 8!

Solution: Sheik Abdullah decides to buy 3 new cars for his collection. He has to choose between eight different cars   8563= 8*7*6/(3*2*1)= 
8*7*6/(3*2*1) = 56
56 ANS:56
Answer: C
The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is
Answers:
A) 33
B) 37
C) 18
D) 99
E) 22

Solution: Explanation:   Let the price of the mixed variety be Rs. x per kg. By the rule of alligation, we have :   Cost of 1 kg of type 1 rice Cost of 1 kg of type 2 rice   {\color{Blue} \therefore } (20-x)/(x-15) = 2/3 60 - 3x = 2x - 30   5x = 90 x = 18.   Answer: C) Rs. 18
Answer: C
A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 5 tons?	Select:
A) 12	B) 24	C) 36	D) 48	E) 60

Solution: The weight of one car and one truck is 5.75 tons.   70/5.75 = 12 plus a remainder   The ferry could carry 12 cars and 12 trucks for a total of 24 vehicles.   The answer is 24.
Answer: B
Two trains 140m and 160m long run at the speed of 60kmph and 40kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Pick one
A) 5.6sec
B) 8.9sec
C) 10.8sec
D) 12.6sec
E) 15sec

Solution: Relative speed = 60+40= 
60+40 = 100
100kmph * 5/18= 250/9 m/s   Distance covered in crossing each other = 140+160= 
140+160 = 300
300m   Required time= 300*9/250 = 54/5= 
54/5 = 54/5 = around 10.8
10.8sec   Answer is 10.8sec
Answer: C
You collect pens. Suppose you start out with 10. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?	Choose the correct choice from the following choices.
A) 39  B) 40  C) 41  D) 42  E) 59

Solution: Solution   Start with 10 pens.   Mike gives you 22 pens: 10 + 22 = 39 pens.   Cindy doubles the number of pens you have: 39 Ã— 2 = 78 pens.   Sharon takes 19 pens from you:  78 - 19= 
 78 - 19 = 59
59 pens.   So you have 59 at the end.   Correct answer: 59
Answer: E
If a and b are odd integers, which of the following is an even integer?	Choose the correct choice from the following answers
A) a+ab+b
B) a+ab+2b
C) 4a+ab+2b
D) 3a+ab+5b
E) 3a+ab-b

Solution: a+ab+2b=odd+odd+even=even   The answer is a+ab+2b.
Answer: B
When a merchant imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $101.50, what was the total value of the item?  Pick one:
A) $1,850 B) $2,450 C) $2,750 D) $3,150 E) $3,450

Solution: Let x be the value in excess of $1,000.   0.07x = 101.5   x = $1,450   The total value was $1,450 + $1,000 = $2,450.   The answer is $2,450.
Answer: B
The average (arithmetic mean) of 10, 20, and 60 is 5 more than the average of 10, 40, and what number?  Options.
A) 25	B) 60	C) 50	D) 30	E) 40

Solution: a1 = 90/3= 
90/3 = 30
30   a2= a1 -5 = 25   sum of second list = 25*3= 
25*3 = 75
75   therefore the number= 75 -50= 
75 -50 = 25
25   25
Answer: A
Find the slope of the line perpendicular to the line y = (1/4)x - 7 Choose the most appropriate option.
A) 1 B) 2 C) -4 D) 4 E) 5

Solution: Two lines are perpendicular if the product of their slopes is equal to -1. The slope of the given line is equal to 1 / 4. If m is the slope of the line perpendicular to the given line, then   m × (1/4) = -1   Solve for m   m = - 4   correct answer -4) -4
Answer: C
Car A is 30 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B?	Choices: A) 1.5 B) 4.5 C) 4.75 D) 3.75 E) 3.5

Solution: Relative speed of car A is 58-50= 
58-50 = 8
8 miles per hour, to catch up 30 miles and drive 8 miles ahead so to drive 38 miles it'll need 38/8=3.5 hours.   Answer: 4.75
Answer: C
The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
Select the correct option: A) 2 B) 8 C) 9 D) 6 E) 1

Solution: 100 * 100= 
100 * 100 = 10_000
10000   80 * 115= 
80 * 115 = 9_200
9200   -----------   10000-----------800   100-----------?=> 8% decrease   Answer:8
Answer: B
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is?  Choose the correct choice from the following options
A) 5230  B) 5330  C) 5331  D) 5332  E) 5336

Solution: Divisor = (5 * 46)= 
(5 * 46) = 230
230= 10 * Quotient = Divisor   => Quotient = 230/10= 
230/10 = 23
23   Dividend= (Divisor * Quotient) + Remainder   Dividend = (230 * 23) + 46= 
(230 * 23) + 46 = 5_336
5336   5336)
Answer: E
Subtracting 10% from X is the same as multiplying X by what number?	Choices
A) 12
B) 90
C) 26
D) 27
E) 18

Solution: X - (10/100) X = X * ?   ? = 90%   Answer:90
Answer: B
If the Average (mean ) of 7 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be	Options
A) 6x	B) 4x	C) 5x/3	D) 3x/2	E) 3x/5

Solution: Let the 5 numbers be 1,2,3,4,5,6,7 (since no restrictions are given). There mean is 4 (x).   Now the sum of greatest three would be 5+6+7= 
5+6+7 = 18
18   so the answer has to be 6x....that is option 6x
Answer: A
If p and r are integers, and p^2 = 28r, then r must be divisible by which of the following?  Choose the correct answer
A) 2  B) 4  C) 5  D) 7  E) 14

Solution: Solution: for p to be an int 28 r must be whole square of a number.   28r= 7*2*2*r   to make it whole square we need 7   so r can must be divisible by 7y where y is itself a whole square.   so Answer is 7
Answer: D
the efficiency of doing work of A is triple than B.hence,any work finished by A,60 days before than B.both together in how many days will finish the work? Choose the correct choice from the following answers.
A) 20 days B) 45/2 days C) 25 days D) 30 days E) 28 days

Solution: let any work finished by B in x days.A will take=(x-60) days   work of A in 1 days=3*(work of B in 1 days)   1/(x-60)=3*1/x,x=3(x-60),2x=180,x=90.   so,45/2 days take=90 days and A take=(90-60)= 
(90-60) = 30
30 days   (A+45/2 days) work in 1 days=(1/30+1/90)=4/90=2/45   so, together will finish work in 45/2 days   answer 45/2 days
Answer: B
If a fair die is rolled twice, what is the probability that a 2 occurs on at least one roll?
Answers:	A) 11/36	B) 125/216	C) 9/36	D) 1/3	E) 25/36

Solution: Probability of no 2s is 5/6 * 5/6 = 25/36, so the probability of at least one 2 is 1 - (25/36) = 11/36   The correct answer is therefore 11/36.
Answer: A
Suppose you want to buy three loaves of bread that cost $1.75 each
and a jar of peanut butter that costs $3. A jar of jelly is $2.75, but you
donâ€™t need any jelly. You have $24. How much money will you have left
over? Choose the correct choice from the following
A) $15.75  B) $12.50  C) $13.50  D) $14.50  E) $51.50

Solution: The jelly is extra information. 24.00 â€“ 3 x 1.75 â€“ 3.00 =   24.00 â€“ 5.25 â€“ 3.00 = 15.75.   You have $5.75 left.   correct answer $15.75
Answer: A
Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long it will take to fill the tank ?
Select the correct option.
A) 10 mins	B) 12 mins	C) 15 mins	D) 20 mins	E) 25 mins

Solution: Explanation:   In this type of questions we first get the filling in 1 minute for both pipes then we will add them to get the result, as   Part filled by A in 1 min = 1/20   Part filled by B in 1 min = 1/30   Part filled by (A+B) in 1 min = 1/20 + 1/30   = 1/12   So both pipes can fill the tank in 12 mins.   Option 12 mins
Answer: B
N = 1/2 + 5/7
Find N	Answers:
A) 13/14	B) 16/18	C) 3/4	D) 17/14	E) 1/2

Solution: N = 1/2 + 5/7   Multiply both the denominators  2 * 7= 
 2 * 7 = 14
14   Multply 14 by both sides   14 * N= 14 * 1/2 + 14 * 5/7   14 * N = 7 + 10   14 * N = 17   N = 17/14   Ans: 17/14
Answer: D
How many digits will be there to the right of the decimal point in the product of 95 and .02554 ?	Choose the correct choice:	A) 6	B) 7	C) 4	D) 5	E) 8

Solution: product of 95 and .02554 is 2.4263.   Therefore number of digits to right of decimal point is 4   Answer is 4.
Answer: C
If 45% of a class averages 100% on a test, 50% of the class averages 78% on the test, and the remainder of the class averages 65% on the test, what is the overall class average? (Round final answer to the nearest percent).
Choose the correct answer.
A) 86%
B) 87%
C) 88%
D) 89%
E) 90%

Solution: This question is a Weighted Average question with a series of dependent variables.   The remaining portion of the class represents 100% - 45% - 50% = 5% of the class   Converting the portions of the class population to decimal weights, we find:   Class Average  100  - 45  - 50= 
 100  - 45  - 50 = 5
5% of the class   Converting the portions of the class population to decimal weights, we find:   Class Average= 0.45x100 + 0.50x78 + 0.05x63 = 87.15   The class average (rounded) is 87%   Final Answer   87%) 87%
Answer: B
3 ltr of water is added with 9 ltr of a solution containing 57%of alcohol in the water. The % of alcohol in the new mixture is?  Choices.
A) 41.5%	B) 42.75%	C) 43%	D) 45%	E) 45.75%

Solution: We have a 9 litre solution containing 57% of alcohol in the water.   => Quantity of alcohol in the solution   =9Ã—57/ 100   Now 3 litre of water is added to the solution.   => Total quantity of the new solution = 9 + 3= 
9 + 3 = 12
12   Percentage of alcohol in the new solution=9Ã—57/100   12   Ã—   100   =9Ã—5710012Ã—100   =9Ã—4.75/100   =42.75%   42.75%
Answer: B
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.48 per glass on the first day, what was the price per glass on the second day? Choices: A) $015 B) $0.20 C) $0.30 D) $0.32 E) $0.45

Solution: On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;   On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade;   So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3.   We are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day.   Say the price of the glass of the orangeade on the second day was $x then 2*0.48=3*x --> x=$0.32.   Answer: $0.32.
Answer: D
Set Q consists of the following five numbers: Q = {5, 7, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?
I. {35, 38, 43, 51, 64}
II. {10, 16, 26, 42, 68}
III. {46, 59, 67, 72, 75}	Choose the correct choice from the following choices.
A) I only  B) III  C) IIII  D) IIIII  E) I, II,III

Solution: (1)	Multiplying all the numbers change Standard Deviation   (2)	Adding and subtracting all the numbers with the same number keeps the standard deviation same.   If you observe Set I and III are added versions of Set Q .   Set I: 5 has been added to the Set Q   Set III: Subtract each element from 80 and you would find a number there in the Set Q.   Set II: elements are multiplied by 2 and standard deviation changes.   Hence the answer is III.
Answer: B
A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water? Pick one.
A) 2
B) 6
C) 7
D) 9
E) 8

Solution: Explanation:   Quantity of milk in the mixture = 90/100 (70) = 63 litres.   After adding water, milk would form 87 1/2% of the mixture.   Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72   Hence 72 - 70= 
72 - 70 = 2
2 litres of water must be added.   2nswer: 2
Answer: A
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 28 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?  Choose one
A) 16	B) 24	C) 32	D) 40	E) 48

Solution: 200 are sophomores.   The number of freshmen is 600 - 160 - 0.28(800) = 216   The answer is 16.
Answer: A
In a certain sequence, the first term is 6, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?	Choose the correct choice from the following options:
A) 13/8  B) 21/13  C) 8/5  D) 33/20  E) 8/13

Solution: let five terms in the sequence be a,b,c,d,e   a=6   b= 1+1/6=7/6   c=1+6/7= 13/7   d= 1+7/13 = 20/13   e= 1+13/20 = 33/20   hence answer should be 33/20.
Answer: D
How many consonants are present between the first and fifth vowel in the sequence of English alphabet ? Answers
A) 12	B) 13	C) 11	D) 16	E) None of these

Solution: Explanation:   Ref : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z   The first and fifth vowels are A and U respectively. There are 19 letters between A and U; out of which 'E' , 'I' and 'O' are vowels. Thus, there are 16 consonants between A and U.   ANSWER 16
Answer: D
After decreasing 24% in the price of an article costs Rs.760. Find the actual cost of an article?  Choose the correct option.
A) 1218
B) 2777
C) 1000
D) 2688
E) 1991

Solution: 1000P* (76/100) = 760   1000P1000 * (76/100)= 
1000 * (76/100) = 760
760   1000P= 10 * 100= 
10 * 100 = 1_000
> 1000P= 1000   Answer: 1000
Answer: C
A survey was sent to 60 customers, 7 of whom responded. Then the survey was redesigned and sent to another 72 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? Choose the correct option: A) 2% B) 7% C) 14% D) 28% E) 63%

Solution: Rate of first survey = 7/60   Rate of second survey = 9/72   % Response rate increase (9/72-7/60)/(7/60) = 7%   Answer is 7% = 7%
Answer: B