MU-NLPC/Calc-aqua_rat huggingface dataset:
The words mentioned below have been arranged in a particular order.
SHOP, FEAR, BALL, DEAD
Can you find the logic behind the order?
Choices: A) 58 > 30 > 27 > 14 B) 58 > 30 > 27 > 15 C) 58 > 30 > 27 > 16 D) 58 > 30 > 27 > 17 E) None

Solution: Solution:   Here, the alphabets can be re-written to their corresponding numbers:   A = 1, B = 2, C = 3... and so on   SHOP = 19 + 8 + 15 + 16= 
19 + 8 + 15 + 16 = 58
58   FEAR= 6 + 5 + 1 + 18= 
6 + 5 + 1 + 18 = 30
30   BALL= 2 + 1 + 12 + 12= 
2 + 1 + 12 + 12 = 27
27   DEAD= 4 + 5 + 1 + 4= 
4 + 5 + 1 + 4 = 14
14   Now, clearly 58 > 30 > 27 > 14   Thus, the order.   58 > 30 > 27 > 14nswer 58 > 30 > 27 > 14
Answer: A
2 no.'s, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those 2 no.'s is divided by 17, the remainder will be Answers: A) 5 B) 6 C) 7 D) 8 E) 9

Solution: (7)   Required remainder = remainder by (13 +11)/17 = 7
Answer: C
If the price of a TV is first decreased by 20% and then increased by 55%, then the net change in the price will be :  Choose the correct choice from the following choices:
A) 4% increase
B) 24% increase
C) 10% decrease
D) 6% increase
E) None of these

Solution: Explanation :   Solution: let the original price be Rs. 100.   New final price = 155% of(80% of 100) =Rs. 155/100 * 80/100 * 100 = Rs. 124.   .'. Increase = 24%   Answer : 24% increase
Answer: B
Ben and Andrew are partners in a business. Ben is a working partner while Andrew is a sleeping partner. Ben gets 8% of the profit for managing the business, and the rest is divided in proportion to their capitals. If Ben invested 25000 and Andrew invested 38000, what is Ben's share in profit of 3500?  Choose the correct choice from the following choices
A) 1557.8  B) 1157.8  C) 1540.8  D) 3557.8  E) 2557.8

Solution: The amount Ben gets for managing   = 8% of Rs. 3500 = 280   Remaining profit = 3500 â€“ 280 = 3220   This is to be divided in the ratio 25000 : 38000=25: 38.   Share of Ben = 25/63 of 3220 = 1277.8   â‡’ Total share of Ben = 280 + 1277.8 = 1557.8.   1557.8nswer 1557.8
Answer: A
The cost of 20 articles is equal to selling price of 10. Find the gain or loss percent? Choose the correct choice from the following options
A) 50%	B) 100%	C) 25%	D) 15%	E) 60%

Solution: C.P. of each article be $1   C.P. of 10 articles = 10   gain% = 10/10*100= 
10/10*100 = 100
100%   Answer is 100%
Answer: B
The area of a triangle is with base 18m and height 6m?
Choices:
A) 88 m2  B) 10 m2  C) 66 m2  D) 54 m2  E) 31 m2

Solution: 1/2 * 18 * 6= 
1/2 * 18 * 6 = 54
54 m2   Answer: 54 m2
Answer: D
A person purchased a TV set for Rs. 2000 and a DVD player for Rs. 1000. He sold both the items together for Rs. 6000. What percentage of profit did he make?	Answers:	A) 80%	B) 89%	C) 100%	D) 48%	E) 10%

Solution: The total CP = Rs. 2000 + Rs. 1000   = Rs. 3000 and SP = Rs. 6000   Profit(%) = (6000 - 3000)/3000 * 100= 
(6000 - 3000)/3000 * 100 = 100
100%   Answer: 100%
Answer: C
R and S together can plough a field in 10 hours but by himself R requires 15 hours. How long would S take to plough the same field? Choose the most appropriate option:
A) 24hours	B) 5 hours	C) 10hours	D) 15hours	E) 20hours

Solution: f R and S together can do a piece of work in x days and R alone can do the same work in y days, then S alone can do the same work in x y/ y â€“ x days.   the No. of hours required by S= 10 Ã— 20/ 20 â€“ 10 = 200/10= 
200/10 = 20
20 hours   20hours
Answer: E
In a restaurant, the profit is 130% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?	Choose the correct choice from the following choices.
A) 30%
B) 51%
C) 90%
D) 100%
E) None of these

Solution: Explanation :   Let C.P.= Rs. 100. Then, Profit = Rs. 130, S.P. = Rs. 230.   New C.P. = 112% of Rs. 100 = Rs. 112   New S.P. = Rs. 230.   Profit = Rs. (230 - 112) = Rs. 118.   Required percentage = (118 /230 *100) % = 51 % appox   Answer : 51%
Answer: B
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?  Select the correct option:
A) 4000
B) 5000
C) 2000
D) 1000
E) 6000

Solution: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.   Then, 4x - 3x = 1000   x = 1000.   B's share = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.   Answer is 2000.
Answer: C
If k, (k+200), (k+350), and 15*K are all multiples of S then S could equal which of the following ?	Choose the correct choice from the following answers
A) 20 B) S=25 C) 75 D) 100 E) 150

Solution: {Multiple of S} - {Multiple of S} = {Multiple of S}.   (K+200) - k = 200 = {Multiple of S}.   (K+350) - k = 350 = {Multiple of S}.   Both 200 and 350 are multiples of only option B.   Answer: S=25.
Answer: B
The sum of three consecutive even numbers is 366. Find the middle number of the three?  Answers:
A) 111
B) 123
C) 122
D) 152
E) 142

Solution: Middle number =366/3= 
366/3 = 122
122   Ans 122
Answer: C
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 30% of the total school population of x students, what is x? Choose one: A) 125 B) 173 C) 225 D) 250 E) 500

Solution: 90=x/100*30/100*x=>x^2 = 9*10000/3 = > x = 173   173
Answer: B
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 7 hours. Harvesting machine K harvested how many acres of wheat per hour?	Choose the correct choice from the following options:	A) 7	B) 8	C) 12	D) 3	E) 15

Solution: Rate of H = 7 acres/hr   Remaining land to be harvested = 100 - 30= 
100 - 30 = 70
70   Rate of H and K= 70/7= 
70/7 = 10
10 acres/hr   Rate of K= 10 - 7= 
10 - 7 = 3
3   Answer: 3
Answer: D
A train crosses a platform of200 m in 15 sec, same train crosses another platform of length 300 m in 20 sec. then find the length of the train?	Options
A) 100m  B) 180m  C) 159m  D) 250m  E) 152m

Solution: Length of the train be ‘X’   X + 200/15 = X +300/20   4X + 800 = 3X + 900   X = 100m   100mnswer:100m
Answer: A
Four boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?	Select.
A) 4^30
B) 2^30
C) 1^30
D) 3^30
E) 6^30

Solution: Each Mango can be given to any one of the four people or in other words..1 mango can be divided into 4 ways...so all 30 can be divided in 4^30 ways   4^30NS:4^30
Answer: A
John has 6 friends who want to ride in his new car that can accommodate only 5 people at a time (John plus 4 passengers). How many different combinations of 4 passengers can be formed from John's 6 friends?  Select the correct option
A) 3
B) 8
C) 10
D) 15
E) 20

Solution: 6C4 = 15   The answer is 15.
Answer: D
The cost price of a radio is Rs.3300 and it was sold for Rs.1230, find the loss %? Choose the correct choice from the following choices.
A) 62.7%	B) 65%	C) 88%	D) 65%	E) 62%

Solution: 3300 ---- 2070   100 ---- ? => 62.7%   62.7%nswer:62.7%
Answer: A
The greatest number of four digits which is divisible by 10, 16, 24 and 80 is: Choose the correct choice from the following answers
A) 9000	B) 9420	C) 9660	D) 9840	E) 9900

Solution: Greatest number of 4-digits is 9999.   L.C.M. of 10,16, 24 and 80 is 240.   On dividing 9999 by 240, the remainder is 159.   Required number  (9999 - 159)= 
 (9999 - 159) = 9_840
9840.   Answer: Option 9840
Answer: D
Missing number in the series
4 9 20 43 90 ?
Choices.
A) 175	B) 185	C) 190	D) 195	E) 180

Solution: 4*2+1= 
4*2+1 = 9
9   9*2+2= 
9*2+2 = 20
20   20*2+3= 
20*2+3 = 43
43   43*2+4= 
43*2+4 = 90
90   so 90*2+5= 
90*2+5 = 185
185   ANSWER:185
Answer: B
There are 4 sections with 7 questions each. If three questions are selected from each section, the chance of getting different questions is________ Choose the correct choice:
A) 23456
B) 45678
C) 42875
D) 40000
E) 16000

Solution: we have to select three questions from each section so the chances are 7C4. 7428754.7428754=42875   ANSWER:42875
Answer: C
A trader bought a car at 20% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price?	Choose the correct choice from the following choices.
A) 17% B) 72% C) 12% D) 82% E) 36%

Solution: Original price = 100   CP = 80   S = 80*(170/100)= 
80*(170/100) = 136
136   100 - 136= 36%   Answer:36%
Answer: E
If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river?	Choose the most appropriate option.
A) (7 , 3) km/hr B) (7 , 9) km/hr C) (3 , 3) km/hr D) (7 , 5) km/hr E) (7 , 7) km/hr

Solution: Explanation:   If x: speed of boats man in still water   y: speed of the river   Downstream speed (Ds) = x + y   Upstream speed (Us) = x – y   x = (Ds + Us) / 2   y = (Ds – Us) / 2   In the above problem Ds = 10 ; Us = 4   x = (10 + 4) / 2 = 14/2= 
14/2 = 7
7 km/hr   y= (10 - 4)/2 = 6/2= 
6/2 = 3
3 km/hr   (7 , 3) km/hrNSWER: (7 , 3) km/hr
Answer: A
Arithmetic mean and standard deviation of a certain normal distribution are 11.5 and 1.5. What value is exactly 2 standard deviations less than the mean?
Choices:
A) 10.5 B) 11 C) 11.5 D) 12 E) 8.5

Solution: The value which is exactly two SD below the mean is: mean-2*SD=11.5-2*1.5=8.5.   Answer: 8.5.
Answer: E
If x, y, and z are positive integers and 3x = 5y = 8z, then the least possible value of x + y + z is Choose the correct choice.
A) 45 B) 79 C) 50 D) 55 E) 60

Solution: given 3x=5y=8z   x+y+z in terms of x   = x+(3x/5)+(3x/8) = 79x/40   now checking with each of the answers and see which value gives a minimum integer value.   A x = 40/79*45 , not an integer   C,D,E can be ruled out similarly.   79 is minimum value as x = 79*40/79 = 79   Answer is 79
Answer: B
The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is	Choose the correct answer
A) 15  B) 20  C) 25  D) 30  E) 32

Solution: Solution:   Let the three numbers be x, y and z.   Sum of the numbers is 98.   x + y + z = 98………………(i)   The ratio of the first to the second is 2/3.   x/y = 2/3.   x = 2/3 × y.   x = 2y/3.   The ratio of the second to the third is 5/8.   y/z = 5/8.   z/y = 8/5.   z = 8/5 × y.   z = 8y/5.   Put the value of x = 2y/3 and z = 8y/5 in (i).   2y/3 + y + 8y/5 = 98   49y/15 = 98.   49y = 98 × 15.   49y = 1470.   y = 1470/49.= 
1470/49. = 30
30 .   Therefore, the second number is 30.   ANSWER:30
Answer: D
If there are 200 questions in a 3 hr examination. Among these questions are 100 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?  Choices
A) 72 min	B) 62 min	C) 70 min	D) 74 min	E) 120 min

Solution: x=time for type B prolems   2x=time for type A problem   total time=3hrs=180min   100x+100*2x=180   x=180/300= 
180/300 = 3/5 = around 0.6
0.6   time taken for type A problem=100*2*0.6= 
100*2*0.6 = 120
120min   ANSW120 minR:120 min
Answer: E
Two trains, each 160 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?	Choose the correct choice from the following:
A) 26 km/hr
B) 17 km/hr
C) 60 km/hr
D) 77 km/hr
E) 96 km/hr

Solution: Let the speed of the slower train be x m/sec.   Then, speed of the train = 2x m/sec.   Relative speed = ( x + 2x) = 3x m/sec.   (160 + 160)/8 = 3x => x = 40/3.   So, speed of the faster train = 80/3 = 80/3 * 18/5= 
80/3 * 18/5 = 96
96 km/hr.   Answer:96 km/hr
Answer: E
In a group of 6 boys&4 girls a Committee of 4 persons is to be formed. In how many different ways can it be done so that the committee has at least 1girl?
Pick
A) 110 B) 120 C) 130 D) 195 E) 200

Solution: The committee of 4 persons is to be so formed that it has at least 1 woman The different ways that we can choose to form such a committee are:   (i) lw. 3 m in t 6X5X4' x 6C3 = 4x — — 80 3X2X1   x 6c2 =42:: x 26:: = 90 (ii) 2w. 2 m in °C2 (iii) 3w. 1 m in 4C3 x 6C1 = 4 x 6 = 24 (iv) 4w in 6C4 = 1 Total no. of different ways in which a committee of 4 persons can be formed so that it has at least one woman. = 80 + 90 + 24 + 1= 
80 + 90 + 24 + 1 = 195
195   195
Answer: D
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?	Choose the correct choice from the following options:	A) 2.5 sec	B) 1.9 sec	C) 8.9 sec	D) 6.9 sec	E) 5 sec

Solution: Speed = 144 * 5/18= 
144 * 5/18 = 40
40 m/sec   Time taken= 200/40= 
200/40 = 5
5 sec.   Answer: 5 sec
Answer: E
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 231 the Other is	Choices:	A) 330	B) 300	C) 270	D) 250	E) 350

Solution: The other number   = L.C.M * H.C.F/given number   = 2310*30/231= 
2310*30/231 = 300
300   Answer is 300.
Answer: B
In an examination, a student scores 3 marks for every correct answer and loses 2 marks for every wrong answer. If he attempts all 100 questions and secures 300 marks, the number of questions he attempts correctly, is:
Answers:
A) 150  B) 250  C) 400  D) 300  E) 100

Solution: Let the number of correct answers be x.   Number of incorrect answers = (100 â€“ x).   3x â€“ 2(100 â€“ x) = 300 or 5x = 500 or x = 100.   ANSW100R:100
Answer: E
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? Select the correct option
A) Rs. 3642.40	B) Rs. 3868.80	C) Rs. 4216.20	D) Rs. 4082.40	E) None of these

Solution: Length of the first carpet = (1.44)(6) = 8.64 cm   Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)   = 51.84(1.4)(5/4) sq m = (12.96)(7) sq m   Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40   ANSWER:Rs. 4082.40
Answer: D
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 20 km/hr and 30 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?	Choose one:
A) 28 sec B) 37 sec C) 21.6 sec D) 23 sec E) 27 sec

Solution: Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 400 / (20 + 30)5/18 = 300* 18 / 50 * 5 = 21.6 seconds.   Answer : 21.6 sec
Answer: C
405 sweets were distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. How many sweets did each child receive?  Choose the correct choice from the following options: A) 7 B) 9 C) 18 D) 45 E) None of these

Solution: Let the total number of children be x.   Then, x × (20 % of x) = 405   ⇔ 1⁄5 x2 = 405 ⇔ x2 = 2025 ⇔ x = 45   ∴ Number of sweets received by each child   = 20% of 45 = 9   Answer 9
Answer: B
In the equation x^2+kx+1=0, x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true?
I) k=0
II) k=−1
III) k=−3 Choices
A) I only	B) III only	C) I and II only	D) II and III only	E) I and III only

Solution: Please format the question properly.   Per the question, x^2+kx+1=0 with k=constant.   For a quadratic equation (ax2+bx+c=0) to have 2 distinct roots ---> D=b2−4ac>0 ---> k^2−4>0 --->k<−2or k>2 . Only III falls in these ranges.   III only is the correct answer.
Answer: B
When 200 is divided by positive integer x, the remainder is 2. What is the remainder when 398 is divided by x?	Choose one.
A) 2	B) 3	C) 4	D) 6	E) 8

Solution: f200/x leaves a reminder 2 then (200-2) i.e. 198 is divisible by x   So (200+198)/x leaves a reminder rem(200/x)+rem(198/x)=> 2+0= 
2+0 = 2
2   2nswer :2
Answer: A
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.5 per box per month for the record storage, what is the total amount that the company pays each month for record storage? Choose the correct choice from the following options.
A) a. 150 B) b. 300 C) c. 600 D) d. 1,200 E) e. 2,400

Solution: Volume Per b. 300ox: 15x12x10 = 1,800   Total Volume: 1,080,000   Number of b. 300oxes: Total Volume / Volume Per b. 300ox = 1,080,000 / 1,800 = 600   Price Per Month: Number of b. 300oxes * Price Per b. 300ox = 600 * 0.5= 
600 * 0.5 = 300
300   Answer: b. 300
Answer: B
A group of students was interviewed for that if it was asked whether or not they speak Spanish and / or English. Among those who speak Spanish, 15 speak English well, while 45 of them do not speak English. If 70% of students do not speak Spanish, how many students were surveyed? Choose the correct choice from the following answers
A) 200
B) 220
C) 230
D) 210
E) 215

Solution: Number of students who speak Spanish are 45 + 15= 
45 + 15 = 60
60   Of total students, the percentage of students who do not speak Spanish was 70% --> percentage of who do is 30%   60-------30%   x ------- 100%   x= 60*100/30= 
60*100/30 = 200
200= number of all students   200nswer is 200
Answer: A
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 2 hours? Choose the correct choice from the following answers.
A) 2.4.  B) 3.2.  C) 4.2.  D) 5.5.  E) 6.4

Solution: W = 2 desks   T = 2.5 hrs   Rate of 2 carpenters = 2×R   Rate = work done/ time   2xR = 2/2.5   R = 1/2.5 = 2/5 (this is the rate of each carpenter)   Work done by 4 carpenters in 2 hrs = 4 × rate of each carpenter x time = 4× 2/5 × 2 = 3.2 desks   3.2. is the correct answer.
Answer: B
Which of the following represents the profit from the investment of x dollars at n percent compound annual interest for 6 years?
Select
A) 5x (1+n/100)^5 - x B) 6x (1+n/100)^4 - x C) x (1+n/100)^6 - x D) 2x (1+n/100)^7 - x E) 4x (1+n/100)^8 - x

Solution: Amount after 6 years compounded yearly = x (1+n/100)^6   Thus profit = Final amount - original principle = x (1+n/100)^6 - x . Answer : x (1+n/100)^6 - x
Answer: C
If 140/x is an integer and 108/x is an integer, which of the following must be true?
I. 9/x is an integer
II. 12/x is an integer
III. 36/x is an integer Choose the correct choice from the following
A) I only
B) III only
C) I and II only
D) II and III only
E) I, II and III

Solution: I think, here we should use the greatest common factor.   The greatest common factor for 144 and 108 is 36.   So 36/x is an integer.   For the rest of the answers, if x is 36 then 9/x and 12/x leads to fractions.   Ans is I, II and III.
Answer: E
The current in a river is 6 mph. A boat can travel 20 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?	Choose the correct choice from the following
A) 69 miles  B) 88 miles  C) 96 miles  D) 91 miles  E) 112 miles

Solution: Upstream Speed = 20-6= 
20-6 = 14
14 mph   91 milesownstream Speed= 20+6= 
20+6 = 26
26 mph   91 miles/14 + 91 miles/26= 10 hours   Solving for 91 miles we get 91 miles=91   Answer: 91 miles
Answer: D
How many minutes will it take for a car that is traveling at a constant rate of 9 miles per hour to travel a distance of 106 yards?	(1 mile = 1,160 yards)  Choose one.
A) 2  B) 5  C) 4  D) 3.61  E) 4.3

Solution: speed = 9 miles/hr = 4.4 yard/s = 29.33 yards/min   distance = 106 yards   time = distance/speed   =106/29.33   =3.61 minutes   ans - 3.61
Answer: D
A train passes a station platform in 30 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Choose one:
A) 200	B) 220	C) 240	D) 150	E) 260

Solution: Speed = [54 * 5/18] m/sec = 15 m/sec.   Length of the train = (15 * 20)= 
(15 * 20) = 300
300 m.   Let the length of the platform be x meters.   Then, x + 300 / 30= 15   x + 300 = 450   x = 150 m.   Answer: Option 150
Answer: D
Two tracks are parallel. The first track has 6 checkpoints and the second one has 10 checkpoints. In how many ways can the 6 checkpoints of first track be joined with the 10 checkpoints of the second to form a triangle?	Choose the correct choice
A) 120  B) 150  C) 200  D) 270  E) 420

Solution: To make a triangle, you need 2 checkpoints from one track and 1 from the other. You cannot have all 3 from the same track since then the points will be in a line (assuming straight line of track)   You select 2 checkpoints from the first track and one from the second or two from the second track and one from the first.   6C2 * 10C1 + 10C2 * 6C1 = 150 + 270= 
150 + 270 = 420
420   Answer (420)
Answer: E
Seller selling an apple for Rs.20, a Seller loses 1/6th of what it costs him. The CP of the apple is?
Select the correct option:
A) 10 B) 12 C) 21 D) 18 E) 20

Solution: SP=20Loss=21P21Loss=21P−SP=21P−20⇒21P21=21P−20⇒20 21P21=20⇒21P21=1⇒21P=21   21
Answer: C
Sixty five percent of a number is 21 less than four fifth of that number. What is the number ?  Pick one:
A) 240  B) 140  C) 230  D) 130  E) 125

Solution: Let the number be x.   Then, 4*x/5 –(65% of x) = 21   4x/5 – 65x/100 = 21   5x = 2100   x = 140.   Answer 140.
Answer: B
4.509/10.02 =  Choose one:
A) 0.45
B) 0.3505
C) 0.3509
D) 0.351
E) 0.3527

Solution: 4.509 / 10.02   4509 / 1002= 
4509 / 1002 = 9/2 = around 4.5
4.5   move the comma two places to the left as we have 2 decimal places from the divisor: 0.45. 0.45nswer: 0.45
Answer: A
An 80-liter solution of cool-drink is made from 10% jasmine water. If 8 liters of jasmine and 12 liters of water were added to the solution, what percent of the solution is jasmine?
Choices.
A) 12% B) 14% C) 16% D) 18% E) 20%

Solution: The percent of jasmine in the resulting solution is: (amount of jasmine) / (total volume)   (0.1(80) + 8) / 100 = 16/100 = 16%   The answer is 16%.
Answer: C
The ratio of two numbers is 2 : 3 and their H.C.F. is 6. Their L.C.M. is Choose the correct choice from the following choices:
A) 48 B) 22 C) 36 D) 27 E) 67

Solution: Explanation:   Let the numbers be 2x and 3x. Then, their H.C.F. = x. So, x = 6.   So, the numbers 12 and 18   L.C.M. of 12 and 18 = 36   Option 36
Answer: C
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choose the correct choice from the following choices.
A) 30/83 hours
B) 80/13 hours
C) 30/19 hours
D) 30/13 hours
E) 31/13 hours

Solution: Speed downstream = 20 + 6= 
20 + 6 = 26
26 kmph.   Time required to cover 60 km downstream= d/s = 60/26 = 30/13 hours.   Answer: 30/13 hours
Answer: D
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?  Choose the correct choice from the following choices:
A) 200 %
B) 75 %
C) 150 %
D) 50 %
E) 70%

Solution: Explanation:   Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.   New C.P. = 125% of Rs. 100 = Rs. 125   New S.P. = Rs. 420.   Profit = Rs. (420 - 125) = Rs. 295   Required percentage =(295/420*100)%=1475/21%=70%   Answer:70%
Answer: E
If the sum of the first n positive integers is x, then which of the following is the sum of the first 2n even positive integers? Choose the correct option:
A) 2x + 2n^2 B) 3x + 4n^2 C) 4x + 2n D) 4x + n^2 E) 4x + 2n^2

Solution: n(n+1)/2 = x   or n^2 + n = 2x (1)   If the series has first 2n numbers, sum of n odd numbers = n^2.   So sum of n even numbers= Sum of first 2n numbers - n^2   In this case we have 2n even numbers so 2n odd numbers will be there, hence a total of 4n first numbers.   Sum of first 4n numbers = 4n(4n+1)/2 -----------(2)   Sum of first 2n odd numbers is (2n)^2 = 4n^2 ---------------- (3)   So sum of 2n even numbers is (2)-(3)   or 4n^2+2n   or 2n^2 + 2 (n^2+n)   or 2n^2 + 2(2x)   or 2n^2 + 4x   ANSW4x + 2n^2R:4x + 2n^2
Answer: E