MU-NLPC/Calc-aqua_rat huggingface dataset:
How many litres of pure acid are there in 8 litres of a 20% solution? Choose the correct choice from the following answers:
A) 2 litres
B) 1.4 litres
C) 1 litres
D) 1.6 litres
E) None of these

Solution: Explanation :   Quantity of pure acid = 8 × (20/100) = 1.6   Answer : Option 1.6 litres
Answer: D
The radius of a cylinder is 8 m, height 14 m. The volume of the cylinder is:
Choose the correct option
A) 2816 B) 5500 C) 3300 D) 1100 E) 4400

Solution: Cylinder volume = Ï€r(power2)h   = 22/7 Ã— 8 Ã— 8 Ã— 14   = 2816 m(power3)   2816nswer is 2816.
Answer: A
The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choose the correct choice from the following options:
A) 11 B) 77 C) 12 D) 99 E) 887

Solution: x, 2x   (x-2):(2x-2) = 1:3   3x-6 = 2x-2   x = 4   x+2x = 3x   => 3*4= 
3*4 = 12
12   Answer: 12
Answer: C
If n is an integer and n^4 is divisible by 20, which of the following could be the remainder when n is divided by 20?	Choose the most appropriate option.
A) 5 B) 10 C) 12 D) 16 E) 18

Solution: option 1   Remainder 5 means  20+5= 
 20+5 = 25
25   n^4= 25^4= 25*25*25*25/20 is not an integer   option 2   Remainder 10 means  20+10= 
 20+10 = 30
30   n^4= 30*30*30*30/20 is an integer means n^4 is divisible by 20 if we take n=10   so 10 is correct
Answer: B
The profit earned after selling an article for Rs.675 is twice the loss incurred after selling the article for Rs.435. What is the cost price of the article? Choose the correct answer
A) Rs.450 B) Rs.595 C) Rs.400 D) Rs.395 E) None of these

Solution: Explanation:   Let ‘x’ be the CP of the article.   i.e. Rs.675-x = 2(x-435)   675-x = 2x-870   675+870 = 3x, therefore, x=1545/3 =Rs.515   Answer: Option None of these
Answer: E
At what rate percent per annum will the simple interest on a sum of money be 7/5 of the amount in 10 years?
Answers:
A) 4%
B) 7%
C) 9%
D) 3%
E) 14%

Solution: Let sum = x. Then, S.I. = 7x/5, Time   = 10 years.   Rate = (100 * 7x) / (x * 5 * 10)   = 14%   Answer: 14%
Answer: E
A race course is 400 m long. A and B run a race and A wins by 5m. B and C run over the same course and B win by 4m. C and D run over it and D wins by 16m. If A and D run over it, then who would win and by how much?  Choices
A) D by 7.2 m B) A by 7.2 m C) A by 8.4 m D) D by 8.4 m E) None of these

Solution: Explanation :   If D by 7.2 m covers 400m, B covers 395 mIf B covers 400m, C covers 396 mIf D covers 400m, C covers 384 mNow if B covers 395 m, then C will cover(396/400)×395=391.05 mIf C covers 391.05 m, then D will cover(400/384)×391.05=407.24If D by 7.2 m and D run over 400 m, then D win by 7.2 m (approx.)   D by 7.2 mnswer : D by 7.2 m
Answer: A
I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?  Pick:	A) 25	B) 37	C) 54	D) 65	E) 75

Solution: when divided 2,3,4 leaves remainder 1 and leaves remainder 0 while dividing 5   25NSWER:25
Answer: A
If A : B= 2 : 4 and B : C = 6 : 8, then A : B : C is:	Choose the correct option:
A) 11:2:3 B) 22:44:66 C) 12:24:32 D) 6:9:12 E) 4:8:10

Solution: A:B=2:4, B:12:24:32=6:8, A:B:12:24:32=2Ã—6:6Ã—4:4Ã—8   â‡’ 12:24:32   Answer: 12:24:32.
Answer: C
Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%. then what was the cost of the tax free items?
Choices.
A) Rs.15
B) Rs.15.70
C) Rs.19.70
D) Rs.20
E) None

Solution: Solution   Let the amount of taxable purchases be Rs.x.   Then, 6% of x	= 30/100   x ‹=› (30/100×100/6)   = 5.   Cost of tax free items	= Rs.[25 - (5 + 0.30)]   = Rs. 19.70   Answer Rs.19.70
Answer: C
If 75 percent of a class answered the first question on a certain test correctly, 45 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?	Choose the most appropriate option
A) 40%
B) (8) 20%
C) 30%
D) 50%
E) 65%

Solution: {Total} = {First} + {Second} - {Both} + {Neither}   100% = 75% + 45% - {Both} + 20% --> {Both} = 40%.   40%nswer: 40%
Answer: A
There has been successive increases of 25% and then 15% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change? Choose the correct choice from the following choices:
A) 30% B) 50% C) 66.66% D) 15% E) 75%

Solution: Let P be the original price per unit of gas.   Let x be the original gas consumption.   Let y be the reduced gas consumption.   y*1.15*1.25*P = x*P   y = x / (1.15*1.25) which is about 0.7x which is a decrease of about 30%.   The answer is 30%.
Answer: A
A batch of cookies was divided amomg 3 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/5 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin  Choose the correct choice from the following choices:
A) 21/31
B) 9/4
C) 5/9
D) 7/5
E) 9/7

Solution: This will help reduce the number of variables you have to deal with:   G + B = 2/3   R = 1/3   B = 1/5   We can solve for G which is 7/10   What fraction (let it equal X) of the cookies that were placed in the other tins were placed in the green tin?   So..   X*(G+R)=G   X*(7/10 + 1/3) = 7/10   X = 21/31   21/31NSWER: 21/31
Answer: A
The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son  Pick one
A) 34,11 B) 35,10 C) 36,9 D) 40,5 E) None of these

Solution: Explanation:   Let sons age = x years. Then fathers age = (45 - x)years.   (x—5)(45—x—5) = 4(45- x - 5) hence (x—5) = 4 so x = 9   Their ages are 36 years and 9 years.   Option 36,9
Answer: C
a man owns 1/3 of market reserch beauro buzness,and sells 3/5 of his shares for 15000rs,what is the value of buzness?
Choose the most appropriate option: A) 55000 B) 75000 C) 65000 D) 190000 E) 250000

Solution: If value of business=x   Total sell (2x/3)(3/4)=15000   ->x=75000   ANSWER:75000
Answer: B
(x to power 1/3) - (x to power 1/9)=60
We have to find out the value of x ?? Answers:
A) 4^9 B) 4^8 C) 4^7 D) 4^6 E) 4^5

Solution: let x^(1/9) =y   y^3-y =60   y(y^2-1) = 60   y=4   x^(1/9)= 4   x = 4^9   4^9NSWER:4^9
Answer: A
A company recently conducted a survey and found that 20,000 of its customers live in rural areas. If the number of customers who live in urban areas is 100 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
Choose the most appropriate option.
A) 40,000
B) 45,000
C) 50,000
D) 55,000
E) 60,000

Solution: The number of customers in urban areas is 20,000+1*20,000=40,000.   The answer is 40,000.
Answer: A
The vertex of a rectangle are (1, 0), (5, 0), (1, 1) and (5, 1) respectively. If line L passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line L?	Select
A) 1/2
B) 2
C) 1/6
D) 3
E) 1/4

Solution: If line L divides the rectangle into two identical quadrilaterals, then it must pass through the center (3, 0.5). The slope of a line passing through (0,0) and (3, 0.5) is 0.5/3 = 1/6.   The answer is 1/6.
Answer: C
If a and b are different values and a – b = 2(√a - √b), then in terms of b, a equals: Choose the correct choice from the following answers
A) √b
B) b
C) b - 4√b + 4
D) b + 2√b + 1
E) b^2 – 2b√b + b

Solution: (√a)^2 - (√b)^2 = 2(√a - √b) -----> ( √a + √b) ( √a - √b) = 2(√a - √b ) -------> √a + √b = 2, so   √a = 2 - √b, square both sides and solve. Answer is b - 4√b + 4.
Answer: C
A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $6 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?	Options:
A) $28 B) $82 C) $110 D) $138 E) $196

Solution: by the question, the equation would be 150 p - 86*150 - 16500 = 0   p being the price we want to find and equation resulting zero means revenue and costs are equal so we can get the minimum price of the component.   solving the equation, we get p = $ 196. Answer $196 for me.
Answer: E
Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?  Choose the correct option:
A) 87  B) 65  C) 75  D) 19  E) 11

Solution: Explanation:   We have , A = B + 20 & C = A + 55 = B + 75   Thus, (B + 20) + (B) + (B + 75) = 230   B = 45   Thus, A = 65 & C = 120. Hence, (C) – (B) = 120 – 45 = 75   Short-Cut Method : Since C is larger than A by 55 and A is larger than B by 20, we get, the Required difference = 55 + 20= 
55 + 20 = 75
75 (without calculating the actual values of A, B and C).   ANSWER:75
Answer: C
In a board game, a stack of 44 cards, 6 of which have pictures of fruit, are shuffled and then placed face down. If the first 2 cards selected do not have pictures of fruit, what is the probability that the third card selected will have a picture of fruit?  Pick one.
A) 3/22	B) 1/11	C) 1/9	D) 1/7	E) 1/5

Solution: After 2 cards have been selected, there are 42 cards remaining.   P(third card has a picture of fruit) = 6/42 = 1/7   The answer is 1/7.
Answer: D
The speed of a car increases by 2kms after every one hour. If the distance travelled in the first one hour was 35kms, what was the total distance travelled in 12 hours?  Choices:
A) 456kms
B) 482kms
C) 552kms
D) 556kms
E) None of these

Solution: Total distance travelled in 12 hours = (35+37+39+...upto 12 terms).   This is an A.P. with first term, a=35, number of terms, n=12, common difference d=2   Required distance = 12/2(2*35+(12-1)*2)=6(70+22)=552km.   552kmsorrect Option: 552kms
Answer: C
In an examination, 300 students appeared. Out of these students; 25 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
Choose the correct choice from the following choices
A) 63
B) 37
C) 54
D) 99
E) 01

Solution: The number of students with first division = 25 % of 300 = 25/100 × 300 = 8400/100 = 75   63nd, the number of students with second division = 54 % of 300   = 54/100 × 300   =16200/100= 
16200/100 = 162
162   Therefore, the number of students who just passed= 300 – (75 + 162) = 63   63nswer:63
Answer: A
It is known that no more than 9 children will be attending a party. What is the smallest number of cookies that must be brought to the party so that each child receives the same number of cookies? Choose the correct option
A) 35	B) 105	C) 420	D) 210	E) 2520

Solution: The question states that there are no more than 9 children in the party. Thus, the possibility is that there could be 1, 2, 3, 4, 5, 6, 7, 8 or 9 children.   If you assume answer as 35 and there are 3 children, you may not distribute be able to distribute cookies equally.   similarly if there were 105 cookies, and 2 children, cookies cannot be distributed equally.   or if there were 210 cookies, and 4 children, cookies cannot be distributed equally.   Thus, the question asks for a number of cookies which can be distributed to any number of children (from 1 to 9).   And therefore the smallest number of cookies would be lcm of (1, 2, 3, 4, 5, 6, 7,8,9), i.e., 2520.   Answer (2520)
Answer: E
The arithmetic mean of the set S = {7, K, 6, 12, M, 7} is 8. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
Answers:
A) 6	B) 6.5	C) 7	D) 7.5	E) 8

Solution: The sum of the numbers is 6*8= 
6*8 = 48
48   K+M= 48 - 12 - 7 - 7 - 6= 
48 - 12 - 7 - 7 - 6 = 16
16   Since K ≠ M, K and M do not equal 8.   Thus one of the two numbers is 7 or less and one is 9 or more.   Then middle two numbers in the set are 7 and 7.   The median is 7.   The answer is 7.
Answer: C
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choose the correct choice from the following answers:
A) 1236
B) 1346
C) 1657
D) 1874
E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1365).   x + 1365 = 6x + 15   5x = 1350   x = 270   Large number = 270+1365= 
270+1365 = 1_635
1635   1635
Answer: E
John has taken four (6) tests that have an average of 82. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
Choose one:
A) 87  B) 90  C) 92  D) 94  E) 102

Solution: 87-82= 
87-82 = 5
5*6= 
5*6 = 30
30 points    2*87= 
 2*87 = 174
174   174+30= 
174+30 = 204
204 points to be scored in the 2 tests.   Avg of 2 tests= 204/2= 
204/2 = 102
102   Answer: 102   Traditional Method:   Total scored till now   82*6= 
  82*6 = 492
492   Total score to avg 87 in 8 tests= 87*8= 
87*8 = 696
696   Total to be scored on 2 tests= 696-492= 
696-492 = 204
204   Avg on 2 tests= 204/2= 
204/2 = 102
102   Answer 102
Answer: E
A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was $250.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae? Choose the correct choice from the following choices:
A) $0.60 B) $0.80 C) $1.00 D) $1.20 E) $1.40

Solution: Let price of a sundae = S   Price of ice cream bar = .6 $   125 * .6 + 125*S = 250   => 125*S = 175   => S = 1.4   Answer $1.40
Answer: E
Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -4 then by what factors will the Mean,Variance and Standard Deviation respectively change ? Choose one:
A) -4,-4,-4 B) -4,4,4 C) 1,1,1 D) -4,16,4 E) 4,4,16

Solution: Mean: If all values are multiplied by -4 then their sum will also be multiplied by -4 so Mean will also get -4   Variance:   Variance is equal to (Sum of (Square of (the difference between mean and individual values))/Total number of values   When we multiply all the values by -4 then the difference between the mean and the individual values also gets multiplied by -4 and the square of that difference becomes 16. So, the variance gets multiplied by a factor of 16   SD:   Standard Deviation is the square root of variance so sqrt(16)=4. So SD gets multiplied by a factor of 4.   So, answer will be -4,16,4.
Answer: D
If two-third of a bucket is filled in 90 seconds then the time taken to fill the bucket completely will be .  Choose the correct choice from the following
A) 90 seconds
B) 70 seconds
C) 135 seconds
D) 100 seconds
E) 120 seconds

Solution: 2/3 filled in 90 seconds   1/3 filled in 45 seconds   then 2/3+1/3=90 + 45= 
90 + 45 = 135
135 seconds   ANSWER: 135 seconds
Answer: C
Stalin and Heather are 20 miles apart and walk towards each other along the same route. Stalin walks at constant rate that is 1 mile per hour faster than heather's constant rate of 5 miles/hour. If Heather starts her journey 20 minutes after Stalin, how far from the original destination has Heather walked when the two meet? Choose the correct answer.
A) 4 miles	B) 6 miles	C) 9 miles	D) 10 miles	E) 12 mile

Solution: Original distance between S and H = 20 miles.   Speed of S = 5+1= 
5+1 = 6
6 mph, Speed of H= 5 mph.   Time traveled by H = t hours ---> time traveled by S = t+20/60 = t+2/6 hours.   Now, the total distances traveled by S and H = 20 miles ---> 6*(t+2/6)+5*t=20 ---> t= 8/11 hours. Thus H has traveled for 8/11 hours giving you a total distance for H = 5*8/11 ~ 4 miles.   A is thus the correct answer.   P.S.: based on the wording of the question, you should calculatehow far from theoriginal destination has Heather walkedwhen the two meet. 'Original destination' for H does not make any sense. Original destination for H was situated at a distance of 20 miles.
Answer: A
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is? Choose the correct choice from the following.
A) 6 km
B) 3 km
C) 9 km
D) 5 km
E) 1 km

Solution: Let the total distance be 3x km.   Then, x/3 + x/4 + x/5 = 47/60   47x/60 = 47/60 => x = 1.   Total distance = 3 * 1= 
3 * 1 = 3
3 km.   Answer: 3 km
Answer: B
A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?  Options.
A) 200 B) 230 C) 300 D) 350 E) 400

Solution: Amount of work A can do in 1 day = 1/6   Amount of work B can do in 1 day = 1/8   Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24   Amount of work A + B + C can do = 1/3   Amount of work C can do in 1 day = 1/3 - 7/24 = 1/24   work A can do in 1 day: work B can do in 1 day: work C can do in 1 day   = 1/6 : 1/8 : 1/24 = 4 : 3 : 1   Amount to be paid to C = 3200 × (1/8) = 400   400)
Answer: E
A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car? Choose the correct answer.
A) 16 m B) 77 m C) 44 m D) 28 m E) 11 m

Solution: n:   Speed Ratio = 1:7/6 = 6:7   Time Ratio = 7:6   1 -------- 7   4 --------- ? è 28 m   Answer:28 m
Answer: D
A man goes from A to B at a speed of 60 kmph and comes back to A at a speed of 40 kmph. Find his average speed for the entire journey?  Choose the correct option.
A) 49 kmph B) 58 kmph C) 44 kmph D) 47 kmph E) 48 kmph

Solution: Distance from A and B be 'd'   Average Speed = total distance/total time   Average Speed = (2d)/[(d/60) + (d/40]   = (2d)/[5d/120) => 48 kmph.   Answer:48 kmph
Answer: E
Find the simple interest on Rs. 72,000 at 16 2/3% per year for 9 months. Select the correct option
A) 7500  B) 6500  C) 9000  D) 9500  E) None of them

Solution: P = Rs.72000,R = 50/3% p.a and T = 9/12 years = 3/4years.   Simple Interest = (P*R*T)/100 = Rs.(72,000*(50/3)*(3/4)*(1/100))= Rs.9000   Answer is 9000.
Answer: C
Tim went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Select
A) 17.13	B) 18	C) 19.7	D) 21.3	E) 21.5

Solution: Total cost of the items he purchased = Rs.25   Given that out of this Rs.25, 30 Paise is given as tax   => Total tax incurred = 30 Paise = Rs.30/100   Let the cost of the tax free items = x   Given that tax rate = 6%   ∴ (25−30/100−x)6/100 = 30/100   ⇒ 6(25 −0.3 −x) = 30   ⇒ (25 − 0.3 − x) = 5   ⇒ x = 25 − 0.3 − 5 = 19.7   19.7)
Answer: C
The width of a rectangular hall is ½ of its length. If the area of the hall is 578 sq.m, what is the difference between its length and breadth?	Pick one:
A) 8m
B) 10m
C) 12m
D) 15m
E) 17m

Solution: Let the length of the hall be x m   Breadth of the hall = 1x/2 m   Area of the hall = Length * Breadth   578 = x * 1x/2   x² = 1156   x =34   Difference between the length and breadth of the hall = x - 1x/2 = x/2   =34/2= 
34/2 = 17
17m   ANSW17mR:17m
Answer: E
Country C imposes a two-tiered tax on imported cars: the first tier imposes a tax of 12% of the car's price up to a certain price level. If the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8%. If Ron imported a $14,000 imported car and ended up paying $1640 in taxes, what is the first tier's price level?  Choose the most appropriate option.
A) $1600	B) $6000	C) $6050	D) $7050	E) $13000

Solution: Let T be the tier price, P be total price = 14000   Per the given conditions:   0.12T + 0.08(P-T) = 1640 ----> T= 13000. $13000 is the correct answer.
Answer: E
A squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute. How much time will the squirrel take to climb 26 metres?  Choices:
A) 14 minutes
B) 12 minutes
C) 15 minutes
D) 18 minutes
E) None of these

Solution: Explanation:   As the squirrel climbs 5 m in one minute and slips 2 metres in the next minute, it climbs 3 metres in 2 minute   To climb 26 metres, the time required is:   The squirrel will climb (26 – 5) = 21 metres = 7 * 3 metres in   7 * 2= 
  7 * 2 = 14
14 minutes   Also, the last 5 metres it climbs in another 1 minute   Hence, total time required= 14 + 1= 
14 + 1 = 15
15 minutes   ANSWER 15 minutes
Answer: C
A certain league has two divisions. The respective divisions had 11 and 13 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?	Pick:
A) 41	B) 42	C) 45	D) 47	E) 49

Solution: Overall, there can be 47 minuses. Tus, it is 47.
Answer: D
On a wedding catering service, An experienced chef can prepare a service for a wedding in 10 hours while an novice chef would finish the preparations in 18 hours.
If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes? Select.
A) 2 B) 3 C) 4 D) 6 E) 8

Solution: Experienced chefs work = 1 wedding/10 hours   Novice chefs work = 1 wedding/18 hours   Since we don't know the number of experienced or novice chefs but know that there is an equal number each, let the number of chefs for each group equalx   1hr and 36mins = 8/5 an hour   x/10 + x/18 = 1 wedding / (8/5)   x/10 + x/18 = 5/8   x=4   So there are 4 novice chefs and 4 experienced chefs. In total there are 8. The answer is 8.
Answer: E
A rectangular swimming pool is 20 feet by 22 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 728 square feet. What is the width of the deck?  Answers:	A) 2	B) 4	C) 3	D) 5	E) 6

Solution: Let the width =W   Total Area of the pool and deck= (2W+20)(2W+22)   We can Test the answer choices along with unit digit method   A) 2 feet ...........24*26 has unit digit 8..........Eliminate   B) 2.5 feet.........25*33 has unit digit 5..........Eliminate   3) 3 feet............26*28 has unit digit 4...........Hold   D) 4 feet............28*30 has unit digit 0...........Eliminate   E) 5 feet............30*32 has unit digit 0...........Eliminate   Answer: 3 w=3
Answer: C
The value of a machine depreciates at 21% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made? Choose the correct choice from the following choices.
A) $257615	B) $437615	C) $127615	D) $117615	E) $157615

Solution: The value of the machine after two years = 0.79 * 0.79 * 1,50,000 = $96,000   SP such that a profit of $24,000 is made = 93,615 + 24,000 = $1,17,615   $117615
Answer: D
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1568?	Select the correct option.
A) 1000 B) 2777 C) 2889 D) 1400 E) 2771

Solution: 1568 = P [1 + (5*12/5)/100]   P= 1400.Answer:1400
Answer: D
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum y of all the even integers between 99 and 301? Choose the correct choice from the following choices:
A) 10,100 B) 20,200 C) 22,650 D) 40,200 E) 45,150

Solution: I would solve it in a different way.   First of all, total number of even integers between 99 and 301 are, (301-99)/2 = 202/2= 
202/2 = 101
101   Average= (301+99)/2 = 400/2= 
400/2 = 200
200   Sum y= Average*total count = 200*101 = 20,200   Answer is 20,200
Answer: B