MU-NLPC/Calc-aqua_rat huggingface dataset:
mixture contains alcohol and water in the ratio 4 : 3. If 6.5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture. Choose one:
A) 10
B) 99
C) 27
D) 22
E) 5.6

Solution: Let the quantity of alcohol and water be 4x litres and 3x litres respectively   26x = 4(3x+5)   14x = 20   x = 1.4   Quantity of alcohol = (4 x 1.4) litres = 5.6 litres.   Answer: 5.6
Answer: E
Which of the following expressions CANNOT be equal to 0 when x^2 − 2x = 3?
Choose the correct choice from the following choices.
A) x^2 − 6x + 9
B) x^2 − 4x + 3
C) x^2 − x − 2
D) x^2 − 7x + 6
E) x^2 − 9

Solution: E. Can x^2 − 9 = 0?   Factor to get (x + 3)(x - 3) = 0   So, (x + 3) = 0 or (x - 3) = 0   ELIMINATE E   D. Can x^2 − 7x + 6 = 0   Factor to get (x - 1)(x - 6) = 0   So, (x - 1) = 0 or (x - 6) = 0   Since we cannot conclude that (x - 3) = 0 or (x + 1) = 0, the correct answer must be x^2 − 7x + 6
Answer: D
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 12 hours. How many hours does it take machines X and Y , working simultaneously , to produce 24k bottles? Choices:
A) 48
B) 42
C) 45
D) 98
E) 96

Solution: x rate = k/6   y rate = k/12   k/6 + k/12 = 24k / T   solving T = 96   Answer 96
Answer: E
Find the wrong number below mentioned series
17, 600,6000,550,750
Options:	A) 600	B) 6000	C) 17	D) 550	E) 750

Solution: 17 is the only prime number or odd number in the series.   ANSWER:17
Answer: C
Pipes A and B can fill a tank in 9 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in  Choose the correct choice from the following options: A) 1 13/17 hours B) 2 8/11 hours C) 3 9/17 hours D) 5 1/7 hours E) None

Solution: Solution   Net part filled in 1 hour	= (1/9 + 1/6 -1/12)   = 7/36.   Therefore, the tank will be full in 36/7 hrs.	â€¹=â€º 5 1/7 hrs.   Answer 5 1/7 hours
Answer: D
What is the area of a square with perimeter 16P ?  Choose the correct choice from the following
A) 16p^2	B) 4P	C) P^2/4	D) P/16	E) P^2/16

Solution: Each side is 4p   16p^2 = (4p)^2 = 16(p^2)   16p^2nswer 16p^2
Answer: A
A company received $2 million in royalties on the first $10 million in sales and then $8 million in royalties on the next $100 million in sales. By what percent did the ratio of royalties to sales decrease from the first $10 million in sales to the next $100 million in sales? Choose the correct choice from the following choices
A) 30%	B) 40%	C) 50%	D) 60%	E) 70%

Solution: First find out (ratio of royalties to sales):   2:10 First   0.2   8:100 Second   0.08   Decrease = 0.2-0.08= 
0.2-0.08 = 0.12
0.12   Percent= (0.12/0.20) = 60%.   ANSWER:60%
Answer: D
If the productivity of a brigade grows by 40% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade? Choose the correct answer:  A) 1.51  B) 0.82  C) 1.2  D) 1.21  E) 1.44

Solution: B = 10-men brigade   p = increase in the productivity = 40%   Solution: B x p = B x 1.4 = 1.4B -------> the productivity of 11 men brigade   1.4B x p = 1.4B x 1.1 = 1.51B -----> the productivity of 12 men brigade   The ratio of the productivity of a 12-men brigade to that of a 10-men brigade = 1.51B/B = 1.51   1.51
Answer: A
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 9 km/hr completes one round in 5 min, then the area of the park (in sq. m) is?  Choose the correct choice from the following answers:	A) 337500 m	B) 300000 m	C) 153600 m	D) 33750 m	E) 9000 m

Solution: Perimeter = Distance covered in 5 min. = (9000 x 5)/60 m = 750 m.   Let length = 3x metres and breadth = 2x metres.   Then, 2(3x + 2x) = 750 or x = 75.   Length = 225 m and Breadth = 150 m.   Area = (225 x 150) m2 = 33750 m   33750 m
Answer: D
If five chimpanzee can eat five mangoes in five minutes.
How many minutes would it take for four chimpanzee to eat four mangoes ?	Choose the most appropriate option:
A) 5 minutes	B) 10 minutes	C) 8 minutes	D) 14 minutes	E) 20 minutes

Solution: 5 minutes   5 minutes
Answer: A
In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is −4, how many of the numbers in the sequence are positive?	Select.
A) None
B) One
C) Two
D) Three
E) Four

Solution: Non - Negative ( zero to positive infinity )   Solution to the question :   -4,-3,-2,-1,0 , 1,2,3   Hence ans is 3 ..option Three
Answer: D
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 22 white marbles. How many red marbles could be in bag A?	Answers
A) 1 B) 3 C) 4 D) 2 E) 8

Solution: # of Red marbles in Bag A can be either 2 or 6. No 2 in the choices, so 6. D.   Bag A:   R:W:B = 2:6:9   Bag B   R:W = 1:4   6X + 4Y = 22 i.e 3X + 2Y = 11   X has to be odd to make an odd sum from the eq.   X = 1 , Y = 4 OR X = 3, Y = 1   So R can be 2X i.e 2 or 6.   Answer 2
Answer: D
A standard Veggiematik machine can chop 36 carrots in 4 minutes. How many carrots can 6 standard Veggiematik machines chop in 7 minutes?
Choices:	A) 36	B) 54	C) 108	D) 216	E) 378

Solution: ON378 Veggiematik machine can chop 36 carrots in 4 minutes   So, ON378 Veggiematik machine can chop (1.5)(36) carrots in (1.5)(4) minutes   In other words, ON378 Veggiematik machine can chop 54 carrots in7minutes   So,SIXVeggiematik machines can chop (7)(54) carrots in6minutes   In other words, SIX Veggiematik machines can chop 378 carrots in7minutes   Answer 378
Answer: E
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Select:
A) 33  B) 77  C) 48  D) 99  E) 22

Solution: D = 540 + 180= 
540 + 180 = 720
720   S= 54 * 5/18= 
54 * 5/18 = 15
15 mps   T= 720/15= 
720/15 = 48
48 sec   Answer:48
Answer: C
The ratio of the incomes of Chetan and Dinesh is 3:4. The ratio of their expenditures is 5:7. If each of them saves Rs.200, find the incomes of both? Answers:	A) 1977	B) 1892	C) 2928	D) 2791	E) 1600

Solution: The savings of Chetan and Dinesh are 3x - 5y and 4x - 7y respectively.   3x - 5y = 200 --- (1)   4x - 7y = 200 --- (2)   Multiplying (1) by 7 and (2) by 5 and subtracting the resultant equation (2) from resultant equation (1), we get x = 400.   The incomes of Chetan and Dinesh are 3x = Rs.1200 and 4x = Rs.1600 respectively.   Answer: 1600
Answer: E
Three candidates contested an election and received 1136, 7636 and 15000 votes respectively. What percentage of the total votes did the winning candidate get?
Choose the correct choice.
A) 46%  B) 63%  C) 74%  D) 63%  E) 68%

Solution: 63%   15000/(1136 + 7636 + 15000) = 63%.
Answer: B
If 20 percent of the members of a certain organization are women and 2/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number of women in the organization is greater than the number of unmarried men in the organization. III. The number of unmarried men in the organization is greater than the number of married men in the organization.  Answers
A) III B) II C) I D) I,II E) II,III

Solution: 2/10 (20%) of the members are women and 2/8 of the members are married men. Let the total numbers of members is 80 (the LCM of 10 and 8). Then there are:    2/10*80= 
 2/10*80 = 16
16 women;    80 - 16= 
 80 - 16 = 64
64 men;     2/8*64= 
  2/8*64 = 16
16 married men;    64 - 16= 
 64 - 16 = 48
48 unmarried men.   So, only option III is true.   IIInswer: III
Answer: A
A and B are two stations 125km apart. A train starts from A at 6a.m. and travels towards B at 50kmph. Another train starts from B at 7a.m. and travels towards A at 25kmph. At what time do they meet? Pick one: A) 7a.m. B) 8a.m. C) 9a.m. D) 9.30a.m. E) 10a.m.

Solution: Suppose they meet x hours after 6 a.m.   Distance moved by first train in x hours + distance moved by 2nd train in x-1 hrs = 125   50x+25(x-1) = 125   x = 2hr   So they meet 2hr after 6a.m. is at 8a.m.   Answer is 8a.m.
Answer: B
In the x-y plane, point (x, y) is a lattice point if both x and y are integers. A rectangle has a center at (1, 2) and width (x), length (y), 6", 4", respectively. Some points, such as the center (1, 2), are inside the rectangle, but a point such as (4, 2) is on the rectangle, but not in the rectangle. How many lattice points are in the rectangle? Choose the correct choice:
A) 7
B) 71
C) 72
D) 17
E) 27

Solution: The lattice points that are in the rectangle can be calculated as follows: divide the rectangle into 4 quadrants. Now we solve for one quadrant, multiply by 4, and subtract the repeating points along the vertical and horizontal lines that lie along the center point.   For one quadrant we have:   vertical = (1, 2), (1, 3),   horizontal = (2, 2), (3, 2), (don't count center again),   others = (2, 2), (3, 3).   There are 6 points. So, 6 * 4 = 24. Subtract repeating points, 7, we get 17.   There are a total of 17 lattice points in the square.   Answer: 17
Answer: D
A password of a computer used three digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Choose the correct choice from the following options.
A) 1/32
B) 1/16
C) 1/8
D) 2/5
E) 1/2

Solution: We have three digits can be used for password -0,2,3,5,7.   Assuming that the numbers can be repeated any number of times in the password, probability of selecting any one of them is 5/10 (out of 10 digits from 0-9)   So, 5/10 * 5/10 * 5/10 =1/8 (1/8)
Answer: C
A boy can reach a certain place in 30 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed.
Select.
A) 3 km/hr.	B) 6 km/hr	C) 8 km/hr	D) 14 km/hr	E) None of these

Solution: Explanation :   Solution: Let the speed be x km/hr. then,   30x - (30 * 29x/30) = 3   => x = 3 km/hr.   3 km/hr.nswer : 3 km/hr.
Answer: A
A money lender lent a total of $1400 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1400, how much did he lend to each of the two customers?
Choose the correct choice from the following answers:
A) 700; 1100
B) 938; 462
C) 1000; 800
D) 1200; 800
E) None of the above

Solution: The method given above is the one given in the book.   However the method I used was   (1*x*5)/100 + (1400-x)*6/100 = 1400*5.67/100   Simplifying we get x=462   938; 462
Answer: B
A man can row with a speed of 20 kmph in still water. If the stream flows at 11 kmph, then the speed in downstream is?
Choose the correct choice from the following answers: A) 28 B) 26 C) 31 D) 87 E) 24

Solution: M = 20   S =11   DS = 20 + 11= 
20 + 11 = 31
31   Answer: 31
Answer: C
A three digit number consists of 9,5 and one more number . When these digits are reversed and then subtracted from the original number the answer yielded will be consisting of the same digits arranged yet in a different order. What is the other digit Choose the correct choice from the following choices:
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: 954   -459   ---------   495   Rearrenge=954   ANSWER:4
Answer: B
Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find the rate of interest.	Choose the correct choice:
A) 40%  B) 30%  C) 20%  D) 10%  E) 15%

Solution: Explanation:   Let the sum be x   Simple interest on x for 2 years = Rs.2000   Simple interest = PRT/100   2000 = x Ãƒâ€” R Ãƒâ€” 2100   Ã¢â€¡â€™ x R = 100000 --- (1)   Compound Interest on x for 2 years = 2400   P(1+R/100)T Ã¢Ë†â€™ P = 2400   x (1+R/100)2 Ã¢Ë†â€™ x = 2400   x (1 +2R/100+R210000)Ã¢Ë†â€™x=2400x(2R100+R210000)=2400   2xR/100 + xR2/10000 = 2400--- (2)   Substituting the value of xR from (1) in (2) ,we get   (2Ãƒâ€”100000)/100 + 100000 Ãƒâ€” R10000 = 2400   2000+10R = 2400   10R=400   R=40%   40%NSWER IS 40%
Answer: A
The 100-milliliter solution of sugar and water is 21% sugar. How much water (in milliliters) must be added to make a solution that is 12% sugar?
Choose the correct choice from the following:
A) 55
B) 60
C) 65
D) 70
E) 75

Solution: In the original solution the amount of sugar is 0.21*100= 
0.21*100 = 21
21 ml.   Let the volume of the new solution be V.   0.12V=21 ml.   V=175 ml.   The amount of water we need to add is   175 - 100= 
  175 - 100 = 75
75 ml.   The answer is 75.
Answer: E
In a coconut grove, (x + 2) trees yield 60 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x.
Select the correct option.
A) 3 B) 4 C) 5 D) 6 E) 7

Solution: (x+2)×60+x×120+(x−2)×180 /(x+2)+x+(x−2)=100   ⇒ 360x−240 /3x = 100   ⇒ 60x = 240 ⇒ x = 4   Answer 7
Answer: E
Reena took a loan of 1200 with simple interest for as many years as the rate of interest. If she paid 432 as interest at the end of the loan period, what was the rate of interest? Choose the correct choice from the following answers:
A) 3.6
B) 6
C) 18
D) Cannot be determined
E) None

Solution: Explanation: Let rate = R% and time = R years.   Then, (1200 x R x R)/100 = 432   12R² = 432   R² = 36   R = 6.   Answer: Option 6
Answer: B
Three candidates contested an election and received 1136, 7636 and 12628 votes respectively. What percentage of the total votes did the winning candidate got?
Choose the most appropriate option.
A) 55%  B) 56%  C) 57%  D) 58%  E) 59%

Solution: Total number of votes polled = (1136 + 7636 + 12628)= 
(1136 + 7636 + 12628) = 21_400
21400   So, Required percentage= 12628/21400 * 100 = 59%   ANSW59%R : 59%
Answer: E
Tough and Tricky questions: Exponents.
If 3^(x+1)*5^(y-1) = 9^x*125^y, then 2x + y =	Choose the correct answer
A) -3/4 B) -2/5 C) -5/2 D) 2/5 E) 5/2

Solution: Here is my solution.   3^(x+1)*5^(y-1) = 9^x*125^y   Here RHS 9^x*125^y= 3^(2x)*5^(3y)   Equating powers on both sides-->   x+1=2x , thus x=-1 and   y-1=3y giving y=-1/2   So, x+y=-5/2   Option: -5/2
Answer: C
Mixture A is 20 percent alcohol, and mixture B is 50 percent alcohol. If the two are poured together to create a 15 gallon mixture that contains 30 percent alcohol, approximately how many gallons of mixture A are in the mixture?  Answers
A) 3 gallons	B) 4 gallons	C) 5 gallons	D) 10 gallons	E) 12 gallons

Solution: Let A = number of gallons on Mixture A in 15 gallon mixture   B = number of gallons on Mixture B in 15 gallon mixture   (20/100)A + (50/100)B= (30/100)(A+B) --1   A+B=15 -- 2   On solving equations 1 and 2 , we get   A=10   B=5   Answer 10 gallons 10 gallons
Answer: D
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
A) 835 1/3 grams
B) 833 1/3 grams
C) 833 1/9 grams
D) 836 1/3 grams
E) 843 1/3 grams

Solution: If the cost price is Rs.100, then to get a profit of 20%, the selling price should be Rs.120.   If 120kg are to be sold, and the dealer gives only 100kg, to get a profit of 20%.   How many grams he has to give instead of one kilogram(1000 gm).   120 gm ------ 100 gm   1000 gm ------ ?   (1000 * 100)/120 = 2500/3 = 833 1/3 grams.   Answer: 833 1/3 grams
Answer: B
Calculate 56581 ÷ ? = 137
Answers.
A) 113 B) 213 C) 413 D) 417 E) 414

Solution: Answer   Let 56581/X = 137   Then X = 56581/137= 
56581/137 = 413
413   Option: 413
Answer: C
If 60 honey bees make 60 grams of honey in 60 days, then 1 honey bee will make 1 gram of honey in how many days?
Choose the correct choice from the following choices: A) 1 B) 3.5 C) 20 D) 49 E) 60

Solution: Explanation :   Let the required number days be x.   Less honey bees, More days (Indirect Proportion)   Less honey, Less days (Direct Proportion)   Honey bees 1 : 60 :: 60 : x   Honey 60 : 1   => 1 x 60 x x = 60 x 1 x 60   => x = 60.   Answer : 60
Answer: E
The average earning of a mechanic for the first-four days of a week is Rs. 16 and for the last four days is Rs. 24. If he earns Rs . 27 on the fourth day, his average earning for the whole week is ?
Choose the correct choice from the following answers.
A) Rs . 18.95
B) Rs 16
C) Rs. 19
D) Rs. 25.71
E) None of these

Solution: Answer   Total earning for the week = Sum of earning of first four days + Sum of earning of last four days - Earning of 4th day   = 4 x16 + 4 x 24 -27   = Rs. 133   âˆ´ Average earning = 133 / 7   = Rs. 19   Rs. 19orrect Option: Rs. 19
Answer: C
A can do a piece of work in 3 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Choose the correct choice from the following answers.
A) 12
B) 9
C) 8
D) 6
E) 5

Solution: A's 1 hour's work = 1/3;   (B + C)'s 1 hour's work = 1/3 ;   (A + C)'s 1 hour's work = 1/2 .   (A + B + C)'s 1 hour's work = ( 1/3 + 1/3 ) =2/3 .   B's 1 hour's work = ( 2/3 - 1/2 ) = 1/6.   Therefore A alone will take 6 hours to do the work.   6
Answer: D
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number? Choose the correct choice from the following answers:  A) 4/7  B) 1/2  C) 1/3  D) 1/7  E) 2/7

Solution: Let A be the event ‘the number on the card drawn is even’ and B be the   event ‘the number on the card drawn is greater than 3’. We have to find P(A|B).   Now, the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}   Then 4/7 = {2, 4, 6, 8, 10}, B = {4, 5, 6, 7, 8, 9, 10}   and 4/7 n B = {4, 6, 8, 10}   4/7lso P(4/7) = 5/2, P(B) = 7/10 and P(4/7 n B) = 4/10   Then P(4/7|B) = P(4/7 n B)/P(B) = (4/10)/(7/10) = 4/7   4/7
Answer: A
A pair of prime numbers that can be expressed in the form W{p, (p + 6)} is deﬁned as a pair of “sexy primes.” A “sexy triplet” is a group of three primes that can be expressed in the form {p, (p + 6), (p + 12)}. All of the following prime numbers are the middle term of a sexy triplet EXCEPT
Choose the correct answer
A) 11  B) 13  C) 17  D) 19  E) 23

Solution: definetly a sitter.plug in the values for middle term and calculate.We can see clearly that W for 19 , 19+6 gives 25 which is not a prime   therefore correct answer 19
Answer: D
If the radius of a circle is decreased 30%, what happens to the area?
Pick
A) 51% decrease B) 20% decrease C) 36% decrease D) 40% decrease E) 50% decrease

Solution: 51% decreaserea of Square = Pi* radius^2   New Radius = 0.7 * old radius   so new area = (0.7)^2 old area => 0.49 of old area => 49% old area   51% decreasens : 51% decrease
Answer: A
Lucy is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of wheat, 3 morsels of rye, and 1 morsel of white. The pattern repeats after she leaves the morsel of rye. If Lucy drops 2,000 morsels of bread, what are the last 3 morsels of bread that she drops? Choose the correct choice from the following options
A) white − wheat − wheat B) wheat − wheat − rye C) rye − white− wheat D) rye − rye − rye E) rye − rye − white

Solution: In a single round Lucy drops 6 morsels.   Remainder (2000/6) = 2   Final action = 2 drops of Wheat --> Options B, C, D and E can be eliminated   white − wheat − wheatnswer: white − wheat − wheat
Answer: A
The angles of a triangle have ratios 3:4:5 relative to each other. Determine which angle below corresponds to one of the angles of this triangle.  Choose the correct choice from the following choices:
A) 40Â°
B) 60Â°
C) 80Â°
D) 100Â°
E) 120Â°

Solution: The three angles of a triangle add up to 180Â°. Knowing the ratios, we can formulate this expression:   3x + 4x + 5x = 180Â°   12x = 180Â°   x = 15Â°   Now, find the angles within the triangle.   3x = 3(15Â°) = 45Â°   4x = 4(15Â°) = 60Â°   5x = 5(15Â°) = 75Â°   Therefore, the answer is 60Â°, or 60Â°.
Answer: B
What is the sum of the greatest common factor and the lowest common multiple of 16 and 72?
Select
A) 142
B) 152
C) 124
D) 160
E) 184

Solution: Prime factorization of 16 = 2 x 2 x 2 x 2.   Prime factorization of 72 = 2 x 2 x 2 x 3 x 3   GCF = 8   LCM = 144   Sum = 152.   Answer 152.
Answer: B
Fred and Sam are standing 35 miles apart and they start walking in a straight line toward each other at the same time. If Fred walks at a constant speed of 2 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?	Choose the correct choice from the following answers:  A) 5  B) 9  C) 25  D) 30  E) 45

Solution: relative distance =35 miles   relative speed =2+5= 
2+5 = 7
7 miles per hour   time taken=35/7= 
35/7 = 5
5 hours   distance travelled by sam=5*5= 
5*5 = 25
25 miles=25
Answer: C
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?  Choose one:
A) 62.5	B) 62.8	C) 62.1	D) 62.9	E) 32.5

Solution: Explanation:   CP = 47.50   SP = 47.50*(125/100)= 
47.50*(125/100) = 59.375
59.375   MP*(95/100)= 59.375   MP = 62.5   62.5nswer: 62.5
Answer: A
In how many ways, a committee of 6 members can be selected from 7 men and 4 ladies, consisting of 4 men and 2 ladies?
Pick:
A) 210
B) 180
C) 200
D) 310
E) 250

Solution: (4 men out 7) and (2 ladies out of 4) are to be chosen   Required number of ways = 7C4*4C2 = 210   210nswer is 210
Answer: A
A Table is bought for Rs.1600/- and sold at a loss of 20% find its selling price? Choose the correct answer: A) s.1280/- B) s.1560/- C) s.1580/- D) s.1250/- E) s.1300/-

Solution: 100 % ------> 1600 (100 * 16 = 1600)   80 % ------> 1280 (80 * 16 = 1280)   Selling price = Rs.1280/-   Option 's.1280/-'
Answer: A
What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?	Pick one
A) Rs.8000 B) Rs.8400 C) Rs.7500 D) Rs.7800 E) None of these

Solution: Explanation:   8820 ---- 441   100 ---- ? => 5%   x *105/100 * 105/100 = 8820   x*1.1025=8820   x=8820/1.1025= 
8820/1.1025 = 8_000
> 8000   Rs.8000nswer is Rs.8000
Answer: A
The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
Choose the correct choice from the following answers:
A) 3  B) 4  C) 5  D) 6  E) 8

Solution: 2x 3x   8x cube + 27x cube = 945   35x cube = 945   x cube = 27 => x = 3.3nswer: 3
Answer: A
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Answers
A) 18 cm	B) 28 cm	C) 30 cm	D) 38 cm	E) 42 cm

Solution: l2 + b2 = 41.   Also, lb = 20.   (l + b)2 = (l2 + b2) + 2lb = 41 + 40= 
41 + 40 = 81
81   (l + b)= 9.   Perimeter = 2(l + b) = 18 cm.   18 cm)
Answer: A
At the starting of 2012, 60% of the population of Town Y lived in the north and the rest lived in the south. During the year 2012, the population of Town Y grew by 5.5%. If the population in the north grew by 4.5%, by how much did the population in the south grow?	Pick one.
A) 7%
B) 9%
C) 1%
D) 1.5%
E) 3.8%

Solution: Here I prefer the weighted average method over dealing with creating and solving the algebraic expression:   Ratio of population in the Town Y -North:South :: 60%:40% = 3:2   Mean growth = 5.5%   South Growth: 4.5%   North Growth = ??   North-------------7%verage--------------South   4.5% __(2n)_____5.5%_____(3n)_____??   Since:   4.5 + 2n = 5.5   n = 1/2 (this is the multiplier of the ratio)   Therefore:   South = 5.5 + 3n   South = 5.5 + 3(0.5) = 7%
Answer: A
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is? Pick
A) 1/39	B) 1/36	C) 1/32	D) 1/31	E) 1/30

Solution: Explanation:   It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6= 
6 * 6 * 6 = 216
216 ways.   Hence the probability is 6/216= 1/36   Answer: 1/36
Answer: B