MU-NLPC/Calc-aqua_rat huggingface dataset:
Two kinds of Vodka are mixed in the ratio 2:6 and 6:3 and they are sold fetching the profit 10% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of  Choices: A) 20% B) 40% C) 18% D) 23% E) Cannot be determined

Solution: The profit on the first kind of vodka = x%;   The profit on the second kind of vodka = y%.   When they are mixed in the ratio 1:2 (total of 3 parts) the average profit is 10%: (x + 2y)/3 = 10.   When they are mixed in the ratio 2:1 (total of 3 parts) the average profit is 20%: (2x + y)/3 = 20.   Solving gives: x = 30% and y = 0%.   After the individual profit percent on them areincreased by 4/3 and 5/3 times respectively the profit becomes 40% and 0%,on the first and te second kinds of vodka, respectively.   If they are mixed in equal ratio (1:1), then the mixture will fetch the profit of  (40 + 0)/2= 
 (40 + 0)/2 = 20
20%.   20%nswer:20%
Answer: A
A number x is 18 times another number y. The percentage that y is less than x is
Answers:  A) 12.5%  B) 87.5%  C) 80%  D) 94.4%  E) 1%

Solution: Say y=1 and x=18.   Then y=1 is less than x=18 by (18-1)/18*100=17/18*100=94.4%.   Answer: 94.4%.
Answer: D
A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ? Choose the correct option
A) 8
B) 9
C) 7
D) 6
E) 4

Solution: Explanation:   Actual price = Rs. (25 + 2.50) = Rs. 27.50.   Saving = 2.50   Percentage Saving =   Answer: 9) 9   %
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? Choose one:
A) 7/20
B) 1/2
C) 16/19
D) 3/5
E) 4/5

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   7/20)
Answer: A
On a certain transatlantic crossing, 25 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets? Choose the correct answer:
A) 33 1/3%
B) 40%
C) 50%
D) 62.5%
E) 66 2/3%

Solution: On a certain transatlantic crossing, 20 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?   Solution: Let total number of passengers be 100   According to Q stem 40% of passengers who had round-trip tics have taken cars - let number of passengers with round trip be X then   40% of X = 25 => X= 62.5.   Answer 62.5%
Answer: D
The number of oranges in three basket are in the ratio 3 : 4 : 5. In which ratio the no. of oranges in first two basket must be increased so that the new ratio becomes 5 : 4 : 3 ?	Choose the correct option
A) 3:4  B) 2:3  C) 1:3  D) 2:1  E) None of these

Solution: Solution: Let,   B1 : B2 : B3 = 3x : 4x : 5x   Again,   B1 : B2 : B3 = 5y : 4y : 3y   Number of oranges remain constant in third basket as increase in oranges takes place only in first two baskets.   Hence, 5x = 3y   and,   3x : 4x : 5x   → 9y /5 : 12y /5 : 15y /5 = 9y : 12y : 15y   And,   5y : 4y : 3y → 25y : 20y : 15y   Therefore, Increment in first basket = 16.   Increment in second basket = 8.   Thus, Required ratio = 16 /8= 
16 /8 = 2
2 : 1   Answer: Option 2:1
Answer: D
225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees
Choose the correct choice from the following answers:
A) 10
B) 13
C) 15
D) 16
E) 17

Solution: 26 trees have 25 gaps between them,   Required distance (225/25) = 10   10
Answer: A
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:	Choose the correct choice from the following:  A) 35.55 km/hr  B) 36 km/hr  C) 71.11 km/hr  D) 71 km/hr  E) 72 km/hr

Solution: Total time taken = 160/64 + 160/80 = 9/2 hours   --> Average speed = 320 x 2/9 = 71.11 km/hr.   Answer : 71.11 km/hr.
Answer: C
What will be 70 percent of a number whose 200 percent is 90 ? Choose the correct choice from the following answers.
A) 144  B) 72  C) 31.5  D) None of these  E) Cannot be determined

Solution: Answer   ∵ 200% of N = 90   ⇒ N = (90 x 100) / 200 = 45   ∴ 70% of N = (70 x 45) / 100 = 31.5   31.5orrect Option: 31.5
Answer: C
If the selling price of 50 articles is equal to the cost price of 20 articles, then the loss or gain percent is:  Choose the correct choice from the following answers
A) 45%	B) 23%	C) 20%	D) 60%	E) 56%

Solution: C.P. of each article be Re. 1.   Then, C.P. of 50 articles = Rs. 50;   S.P. of 50 articles = Rs. 20.   Loss % = 30/50 * 100= 
30/50 * 100 = 60
60%   ANSWER 60%
Answer: D
The average of 10 numbers is 20 and the average of 10 other numbers is 25. What is the average of all 20 numbers?
Select:
A) 22.5
B) 21.1
C) 2.6
D) 7.5
E) 4.6

Solution: The average of 10 numbers is 20....   The sum of those numbers is (10)(20) = 200.   The average of 10 other numbers is 25....   The sum of those numbers is (10)(25) = 250   The sum of ALL 20 numbers is 200+250= 
200+250 = 450
450. The average of those numbers is 450/20= 
450/20 = 45/2 = around 22.5
22.5   22.5nswer is 22.5
Answer: A
The mean of 50 observations was 36. It was found later that an observation 44 was wrongly taken as 23. The corrected new mean is	Pick.
A) 35.22	B) 36.12	C) 36.22	D) 36.42	E) None

Solution: Solution   Correct sum = (36x50+44-23)   = 1821.   âˆ´ Correct mean = 1821 / 50   = 36.42.   Answer 36.42
Answer: D
How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once? Pick one:
A) 20 B) 40 C) 120 D) 60 E) 10

Solution: Vowel: E O   Consonants: V R M N T   First letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)   Fifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)   Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter   Second letter can be filled in 5 Ways   Third letter can be filled in 4 Ways   So, Total number of ways = 2 Ways x 5 Ways x 4 ways x 1 ways = 40   Answer 40
Answer: B
Simplify: 81 X 81 + 68 X 68-2 x 81 X 68.  Answers:
A) 169
B) 159
C) 189
D) 179
E) 219

Solution: = (81)^2 + (68)^2 – 2x 81 x 68 = a^2 + b^2 – 2ab,Where a =81,b=68   = (a-b)^2 = (81 –68)^2 = (13)^2 = 169.   169nswer is 169.
Answer: A
If X,Y is 20%,30% smaller than Z then how much percentage is Y greater than X? Answers
A) 12 1/2 % B) 13% C) 13 1/2% D) 14% E) 15%

Solution: X = 80 %   Y = 70 %   Z = 100 %   X-Y/X × 100 = 10/80 × 100 = 12 1/2 % greater than X   12 1/2 %)
Answer: A
A car covers 4 successive 3 km stretches at speed of 10 kmph, 20 kmph, 30 kmph & 60 kmph resp. Its average speed is  Choose one.
A) 20 kmph B) 40 kmph C) 10 kmph D) 60 kmph E) 80 kmph

Solution: 20 kmph   20 kmph   20 kmphverage speed = total distance / total time   total distance = 4 * 3= 
4 * 3 = 12
12 km   total time= 3/10 + 3/20 + 3/30 + 3/60   = 36/60 hr   speed =12/36 * 60= 
12/36 * 60 = 20
20 kmph
Answer: A
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?	Choose the correct option.
A) 40 B) 65 C) 72 D) 76 E) 78

Solution: Solution   Average after 11 innings = 36.   ∴ Required number of runs	= (36x11)-(32x10)   = 396 - 320= 
396 - 320 = 76
76.   Answer 76
Answer: D
A box contains 4 blue marbles, 3 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are red or yellow?  Select:
A) 4/35	B) 6/35	C) 7/35	D) 8/35	E) 1/105

Solution: Given that there are 4 blue marbles, 4 red marbles, 6 green marbles and 2 yellow marbles. Probability that both marbles are red = 47/35â‚‚/Â¹âµ7/35â‚‚ = (3 * 2)/(15 * 14) = 2/35   Probability that both are yellow = Â²7/35â‚‚/Â¹âµ7/35â‚‚ = (2 * 1)/(15 * 14) = 1/105   Probability that one red and other is yellow = (47/35â‚ * Â²7/35â‚)/Â¹âµ7/35â‚‚ = 8/105   Required probability = 2/35 + 1/105 + 8/105   = 7/35   Answer:7/35
Answer: C
If n is an integer and 101n^2 is less than or equal to 6400, what is the greatest possible value of n? Choose the correct choice from the following answers.
A) 7  B) 8  C) 9  D) 10  E) 11

Solution: 101 * n^2 <=6400   n^2 <=6400/101 which will be less than 81 since  6400/100= 
 6400/100 = 64
64 which is the square of 9   Next closest value of n where n^2<=64 is 7   7ns 7
Answer: A
Sixty five percent of a number is 21 less than four fifth of that number. What is the number
Choose the correct choice from the following answers.
A) 140  B) 165  C) 150  D) 142  E) 174

Solution: Let the number be x.   Then, 4*x/5 –(65% of x) = 21   4x/5 –65x/100 = 21   5 x = 2100   x = 140.   140NSWER 140 140
Answer: A
A man's speed with the current is 16km/hr and the speed of the current is 2km/hr. The man's speed against the current is:	Choose the correct choice
A) 8 km/hr	B) 9 km/hr	C) 12 km/hr	D) 15 km/hr	E) 17 km/hr

Solution: Man's rate in still water = (16 - 2) km/hr = 14 km/hr.   Man's rate against the current = (14 - 2) km/hr = 12 km/hr   12 km/hr
Answer: C
How many bricks, each measuring 125 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? Answers
A) 1280  B) 2400  C) 5500  D) 7400  E) 3400

Solution: Number of bricks = Volume Of the wall / Volume of 1 brick = (800 x 600 x 22.5) / (125 x 11.25 x 6) = 1280   1280NSWER:1280
Answer: A
Of the 200 employees at company X, 50 are full-time, and 150 have worked at company X for at least a year. There are 10 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?	Choose the correct choice:
A) 20 B) 30 C) 10 D) 80 E) 100

Solution: 200 employees   50 are full-time   150have worked at company X for at least a year   10 employees at company X who aren’t full-time and haven’t worked at company X for at least a year.   How many full-time employees of company X have worked at the company for at least a year?   200-50= 
200-50 = 150
150 employees not full time   150-10= 
150-10 = 140
140 employees not full time who worked over a year   150 employees have worked at company X for at least a year-140 employees not full time who worked over a year= 10 full-time employees of company X have worked at the company for at least a year   ans 10
Answer: C
How many multiples of 5 are there between 70 and 358?	Choose the correct choice
A) 54  B) 55  C) 56  D) 57  E) 58

Solution: 5 * 14= 
5 * 14 = 70
70   5 * 71= 
5 * 71 = 355
355   Total no of multiples= (71 - 14) + 1   = 57 + 1= 
57 + 1 = 58
58   Answer is 58.
Answer: E
A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?  Choices:
A) 1/5
B) 2/5
C) 2/5
D) 3/5
E) 3/7

Solution: Let E be the event that ‘number 4 appears at least once’ and F be   the event   that ‘the sum of the numbers appearing is 6’.   Then, E = {(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (1,4), (2,4), (3,4),   (5,4), (6,4)}   and F = {(1,5), (2,4), (3,3), (4,2), (5,1)}   We have P(E) = 11/36   and P (F) = 5/36   Also EnF = {(2,4), (4,2)}   Therefore P(EnF) = 2/36   the required probability   P(E|F) = P(EnF)/P(F) = (2/36)/(5/36) = 2/5   2/5)
Answer: C
A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability X that out of the two, one is white and one is blue?
Answers:  A) 15/56  B) 41/56  C) 13/28  D) 15/28  E) 5/14

Solution: The required probability X= probability of choosing 6 balls out of the total 8 in such a way that we remove 4 out of 5 white and 2 out of 3 blue balls.   Ways to select 6 out of total 8 = 8C6   Ways to select 4 out of 5 white balls = 5C4   Ways to select 2 out of 3 blue balls = 3C2   Thus the required probability = (5C4*3C2)/8C6 = 15/28.   15/28 is thus the correct answer.
Answer: D
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is? Select the correct option.
A) 123400 m
B) 145500 m
C) 153600 m
D) 186400 m
E) 165700 m

Solution: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.   60   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 1600 or x = 160.   Length = 480 m and Breadth = 320 m.   Area = (480 x 320) m2 = 153600 m   153600 m
Answer: C
If x is a positive even number, then each of the following is even EXCEPT	Choose the correct choice from the following
A) (x + 3)(x + 5)  B) x^2 + 5  C) x^2 + 6x + 9  D) 3x^2 + 4  E) 5(x + 3)

Solution: Since it is given tht x is even number, so any integer multiplied with x will also be even..   so, we should concentrate only on other terms..   lets see the choices..   A. (x + 3)(x + 5)   We have two terms with x and each is added with a odd number..   each bracket becomes odd and Odd*Odd=Odd   B. x^2 + 5   here we are adding an Odd number to even.. so E + O=O   C. x^2 + 6x + 9   here we are again adding an Odd number to even.. so E +E + O=O   D. 3x^2 + 4   here we are adding an Even number to even.. so E + E=E..   so tjis is our answer   E. 5(x + 3)   again O*O=O   5(x + 3)
Answer: E
In how many ways the letters of the word RAIMBON be arranged?
Choose one:
A) 2467
B) 2696
C) 5040
D) 5768
E) 6597

Solution: Total ways of arranging the letters = 7! = 5040 ways.   5040)
Answer: C
A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $100,000 and $250,000, one of them is $300,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?
Choose the correct answer
A) 800 B) 850 C) 875 D) 880 E) 900

Solution: (1) 2(100)+300+2(500) = 1500   1500*0.95= 
1500*0.95 = 1_425
1425 (Revenue considering the minimum values with the discount)   (2) 2(250)+300+2(750)= 2300 (Revenue considering the maximum values without the discount)   So, the the revenue range could be = 2300 - 1425= 
2300 - 1425 = 875
875   875
Answer: C
There is 2/5 chance it will rain today.
There is a probability of 1/2 I will find the love of my life today.
What is the probability that it won't rain and that I will find the love of my life today? Pick
A) 2/5
B) 3/5
C) 3/10
D) 1/5
E) 7/10

Solution: the probability that it won't rain today is 3/5.   therefore the probability that it won't rain and that I will find the love of my life today is 3/5*1/2 = 3/10   Answer:3/10
Answer: C
The price of a T.V. set worth Rs. 60000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? Pick
A) 22678
B) 59000
C) 26788
D) 19000
E) 26711

Solution: Money paid in cash = Rs. 1000   Balance payment = (60000 - 1000) = Rs. 59000   Answer: 59000
Answer: B
The average age of a couple was 24 years. After their 1st and 2nd children (twins) were born, the average age of the family became 13.5 years. The average age of the family just after 3rd child was born was 13.2 years. The average age of the family after 4th child was born was 16 years. The current average age of the family is 19 years. What is the current age of the twin children? Pick.
A) 14 years
B) 15 years
C) 11 years
D) 12 years
E) 10 years

Solution: DETAILED SOLUTION   Sum of the ages of the couple = 24 * 2= 
24 * 2 = 48
48   After the 1st and 2nd children, sum= 13.5 * 4= 
13.5 * 4 = 54
54   Difference in sum= 54 – 48 = 6 years   Or after 6/ 2= 
6/ 2 = 3
3 years, the twin were born to the couple (Ages of children at the time of birth is 0)   After 3rd child, sum= 13.2 * 5= 
13.2 * 5 = 66
66 yrs   Difference= 66 – 54 = 12   Or after 12/4= 
12/4 = 3
3 yrs, 3rd child was born (Couple + 2 children were already present. So 4)   After 4th child, sum= 16 * 6= 
16 * 6 = 96
96 yrs   12 yearsifference= 96 – 66 = 30   Or after 30/5= 
30/5 = 6
6 yrs, 4th child was born   Current sum= 19 * 6= 
19 * 6 = 114
114 yrs   12 yearsifference 114 – 96= 18 yrs   Or after  18/6= 
 18/6 = 3
3 yrs   The gap between the children are as follows: 3 yrs, 6 yrs and 3 yrs   Age of eldest ones= 3 + 6 + 3= 
3 + 6 + 3 = 12
12   Correct Answer: 12 years
Answer: D
Two persons starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?	Choose the correct answer.
A) 17 hrs
B) 22 hrs
C) 25 hrs
D) 12 hrs
E) 16 hrs

Solution: The relative speed of the boys = 5.5kmph – 5kmph   = 0.5 kmph   Distance between them is 8.5 km   Time= 8.5km / 0.5 kmph = 17 hrs   17 hrsnswer : 17 hrs
Answer: A
In a deck of cards there are 52 cards numbered from 1 to 13. There are 8 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?  Options.
A) 1/4.  B) 4/17.  C) 5/29.  D) 5/16.  E) 1/3.

Solution: 8+12 tens/52+12 total cards=20/64=5/16   5/16.
Answer: D
If a(a + 4) = 21 and b(b + 4) = 21, where a ≠ b, then a + b = Choose the correct choice from the following options
A) −4	B) −2	C) 2	D) 46	E) 48

Solution: a(a + 4) = 21   => we have a = 3 or -7   also b(b + 4) = 21   => b = 3 or -7   given a ≠ b   1) when a =3, b= -7 and a + b = -4   1) when a = -7, b= 3 and a + b = -4   −4nswer choice −4
Answer: A
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?  Choose the correct choice
A) 242 m B) 249 m C) 245 m D) 235 m E) 345 m

Solution: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30   = 25/2 => 2(130 + x)   = 750 => x   = 245 m.   Answer: 245 m
Answer: C
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 $7540. What is the average monthly balance maintained by John in his account during the year?  Choose the correct choice from the following answers.
A) 2840	B) 5680	C) 6840	D) 7540	E) 37700

Solution: Soln:-   Bank balance is doubled with accumulation of interest to 7540..   this means INTEREST is   7540/2= 
  7540/2 = 3_770
3770 for entire year..   although since interest is 10% of avg MONthly balance, it becomes 37700..   ANSW37700R:37700
Answer: E
At a circular table for nine will sit seven adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the nine people be arranged around the table.  Choose the correct choice from the following answers
A) 120 B) 240 C) 480 D) 600 E) 720

Solution: Consider the two parents and two children as one unit.   Then there are five adults and one family unit.   The number of ways 6 can form a line is 6!   Around a circular table, there would be 6 rotations so we divide this number by 6.   There are 5! ways for 6 to sit around the circular table.   Then the two children have two options and the two parents have two options.   Then the total number of ways is 5!*2*2= 480   The answer is 480.
Answer: C
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 4 hours, then find the speed of the boat in still water? Choose the correct choice from the following options
A) A)7
B) B)2
C) C)8.73
D) D)5.77
E) E)3

Solution: S = 4   M = x   5.77S = x + 4   US = x - 4   6/(x + 4) + 6/(x - 4) = 4   x = 5.77   Answer:5.77
Answer: D
A rectangular-shaped carpet that measures x feet by y feet is priced at $10. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)  Choices:
A) 90/(xy)  B) 90xy  C) xy/90  D) xy/10  E) 10/(xy)

Solution: The area of the carpet in feet is xy.   The area in square yards is xy / 9.   The price per square yard is 10 / (xy/9) = 90/(xy).   The answer is 90/(xy).
Answer: A
Carol is three times Alice’s age but only twice as old as Betty. Alice is sixteen years younger than Carol. How old is Betty?	Select the correct option
A) 16  B) 19  C) 12  D) 18  E) 24

Solution: Beyond the obvious Algebra approach to this question, it can also be solved by TESTing THE ANSWERS.   We're told 3 facts about the relative ages of 3 people:   1) Carol's age is 3 times Alice's age   2) Carol's age is 2 times Betty's age   3) Carol is 16 years older than Alice   We're asked for BETTY'S age.   Since Carol is TWICE Betty's age, Betty is clearly younger than Carol, so we'll TEST a smaller answer first.   IF....   Betty = 12   Then 12arol = 2(12) =24   Then Alice = 24 - 16= 
24 - 16 = 8
8 AND   24/3= 
  24/3 = 8
8   All of these values mesh perfectly with the facts and with one another, so Betty MUST be 12   12
Answer: C
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 20. Which of the following integers is the higher of the remaining two integers? Choose the correct choice from the following answers: A) 32 B) 86 C) 44 D) 82 E) 55

Solution: Let the four integers be A, B, C and D where A > B > C > D.   (A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)   A = 93, D = 39 and B - C = 20   (1) => B + C = 276 - (A + D) = 276 - 132= 
276 - 132 = 144
144.   B + B -20= 144   B = (144 + 20)/2= 
(144 + 20)/2 = 82
82   Answer:Option 82
Answer: D
Increasing the original price of an article by 8 percent and then increasing the new price by 8 percent is equivalent to increasing the original price by
Choose the correct option: A) 16.16% B) 16.32% C) 16.64% D) 17.26% E) 18.56%

Solution: 1.08*1.08*x = 1.1664*x   The answer is 16.64%.
Answer: C
Ravi and Kavi start a business by investing â‚¹ 6000 and â‚¹ 72000, respectively. Find the ratio of their profits at the end of year. Pick:  A) 2 : 12  B) 5 : 12  C) 7 : 12  D) 1 : 12  E) 3 : 12

Solution: Ratio of profit = Ratio of investments   = 6000 : 72000 = 1 : 12   Answer : 1 : 12
Answer: D
Three friends X, Y, Z rented a auto for Rs.520. A used it for 6 hours, B used it for 9 hours and C used it for 11 hours. What is the hire charges paid by Y:
Choose the correct choice from the following choices.
A) Rs 140 B) Rs 160 C) Rs 180 D) Rs 200 E) None

Solution: X : Y : Z = 7 : 8 : 11. Hire charges paid by Y = Rs(520×9/26) = Rs.180.   Answer Rs 180
Answer: C
If n is a positive integer and n^2 is divisible by 18, then what is the largest positive integer that must divide n? Select
A) 3 B) 4 C) 6 D) 8 E) 9

Solution: 18 =   2 * 3= 
  2 * 3 = 6
6   The answer is 6.
Answer: C
What is the least possible product of 4 different integers, each of which has a value between –6 and 10, inclusive?  Answers.
A) –4320
B) –3600
C) –720
D) –600
E) –120

Solution: Maximize the total product with a -ve sign   so -6 * 10 * 9 * 8 = 720 * -6 = -4320   –4320nswer is –4320.
Answer: A
A numberais squared and then multiplied by negative 3. The result of this operation Q is equal to three times the sum of three timesaand two. What is one possible value ofa?  Pick.
A) -3
B) -2
C) 1
D) 2
E) 3

Solution: Q=-3*a^2=3(3a+2)   a= -2 or -1   a=-2=-2
Answer: B