MU-NLPC/Calc-aqua_rat huggingface dataset:
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.27000. A's share is?
Choose the most appropriate option: A) s.7500 B) s.7200 C) s.6000 D) s.5750 E) s.9000

Solution: x* 12 : 2x* 6: 3x* 4   1:1:1   1/3 * 27000= 
1/3 * 27000 = 9_000
9000   ANSWs.9000R:s.9000
Answer: E
If x, y, and z are consecutive positive integers greater than 1, not necessarily in that order, then which of the following is (are) true?
I. x > z
II. x+ y > z
III. yz > xz
IV. xy > y + z  Choose the correct choice from the following answers:
A) I only
B) II only
C) II and III only
D) II and IV only
E) III and IV only

Solution: lets see the choices..   I. x > z...   we do not know the values or the relative values ... need not be true..   II. x+ y > z   we take the worst case that z is the largest and x and y are lowest possible..... so 2+3>4.. 5>4.. always true   III. yz > xz   we do not know the values or the relative values between x and y.. need not be true   IV. xy > y + z   xy-y>z or y(x-1)>z...   again lets take the worst scenario..   we take the worst case that z is the largest and x and y are lowest possible..... so (2-1)3>4.. 3>4.. not true   only ii is true   ANSWER:II only
Answer: B
If x and y are positive integers such that x < y and z=x/y, which of the following must be true?
I. z>(x − 1)/(y − 2)
II. z<(x − 1)/(y − 2)
III. z>(x + 1)/(y + 2) Pick one: A) I only B) I and II C) II and III D) II only E) I and III

Solution: x < y --> Let x = 2 and y = 3 --> z = 2/3   I. z>(x − 1)/(y − 2) --> 2/3 > 1/1 --> False   II. z<(x − 1)/(y − 2) --> 2/3 < 1/1 --> True   III. z>(x + 1)/(y + 2) --> 2/3 > 3/5 --> True   Answer: II and III
Answer: C
24 oz of juice P and 25 oz of juice T are mixed to make smothies X and Y . The ratio of p to T in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
Choose the correct choice from the following answers
A) 5 B) 10 C) 15 D) 20 E) 25

Solution: Easy way to solve this question is start from the answer and then conform the information provided in the question.   we can start from option D i.e 20 ... as a quantity of juice P in X because it is the only one option that gets divided by 4 is 20 ... since in the X the juice P to T ratio is 4:1   this gives us that quantity of juice P in X = 20 therefore quantity of Juice T will be 5 ... hence ratio = 4:1   This will lead to quantity of juice P in X = 4 and quantity of Juice T = 20 ... hence ratio 1:5   if we calculate total Juice P = 24 and total of juice V = 25   it fits because totals are same as what mentioned in the question ...   thus ans is 20
Answer: D
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 120 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 6 o'clock?	Choose the correct choice:
A) 60 miles	B) 80 miles	C) 110 miles	D) 120 miles	E) 400 miles

Solution: Answer = C. 110 miles   Relational speed = 120 - 100= 
120 - 100 = 20
20 miles per hour   In 4 hours, difference= 20 * 4 = 120 miles   Fast train trailing 10 miles, so effective difference = 120 - 10= 
120 - 10 = 110
110 miles
Answer: C
Jack took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?	Pick one:
A) 54.0	B) 54.9	C) 55.5	D) 57.0	E) 63.0

Solution: Let the distance travelled in the first hour be x. Thus, 1.2x = 18 , x = 15. Now, the distance travelled in the 3rd hour = 18+1/4∗18 = The only option ending with a 0.5 in the decimal's place is C.   55.5orrect answer is 55.5
Answer: C
The bankers discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:	Choose the correct choice:  A) Rs. 360  B) Rs. 432  C) Rs. 540  D) Rs. 1080  E) Rs. 1280

Solution: Sum = (B.D*T.D)/(B.D-T.D)   (72*60)/72-60;   360   Rs. 360NSWER:Rs. 360
Answer: A
The train leaves from New York City every 40 minutes from Boardman station. A man told John Watson that the train had left 15 minutes ago and the next train to New York City will leave at 9:40 p.m. At what time, man convey this information to John Watson?	Choose the correct choice from the following answers.
A) 6:15 PM B) 7:15 PM C) 8:15 PM D) 9:15 PM E) None

Solution: Solution   Time of John Watson last missed the train = 8:40 PM - 40 min = 8:00 PM As this information has been given to John Watson 15 minutes after the train has already left, the man gave the information at 8:00 p.m. + 15 min = 8:15 PM   Answer 8:15 PM
Answer: C
In order to obtain an income of Rs. 15000 from 80% stock at Rs. 200, one must make an investment of	Choose one
A) Rs.30000 B) Rs.37000 C) Rs.37500 D) Rs.40000 E) Rs.40500

Solution: Explanation :   Market Value = Rs. 200.   Required Income = Rs. 15000.   Here face value is not given. Take face value as Rs.100 if it is not given in the question   To obtain Rs.80 (ie,80% of the face value 100), investment = Rs.200   To obtain Rs.15000, investment = 200/80Ã—15000=Rs.37500   Answer : Option Rs.37500
Answer: C
emblem is coded as 216;
crude is coded as 125
hi will be ?
Choose the correct answer:
A) 243 B) 64 C) 8 D) 32 E) 16

Solution: coding follows (no. of letters)^3   emblem = 216 = 6^3   crude = 125 = 5^3   hi = 2^3 =8   ANSWER:8
Answer: C
A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 24% of the original number. What percent of the red candies remain? Options:	A) 12.5%	B) 16.7%	C) 22.5%	D) 27.5%	E) 33.3%

Solution: Let x be the original number of each color so there are a total of 5x candies.   Kaz eats all of the green candies and half of the orange ones.   There are 0 green candies and 0.5x orange candies remaining.   He eats half of the remaining pieces of each color.   There are 0.25x orange candies, and 0.5x each of red, yellow, and blue candies.   He eats red and yellow candies in equal proportions.   orange+blue+red+yellow = 0.75x + red + yellow = 1.2x   red + yellow = 0.45x   red = 0.225x, since red = yellow.   The answer is 22.5%.
Answer: C
Three pieces of timber 48 m, 56 m and 72 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ? Choose the correct choice:
A) 8 m
B) 4 m
C) 2 m
D) 6 m
E) None of these

Solution: 8 mnswer   Greatest possible length of each plank = H.C.F of 48, 56, 72 = 8 m   Correct Option: 8 m
Answer: A
A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?
Choose the correct choice from the following answers.
A) 2/113
B) 3/115
C) 1/108
D) 2/213
E) 3/215

Solution: Sol. Total number of favorable outcomes n(S) . e . 216 1/108ombinations of outcomes for getting sum of 15 on uppermost face = (4, 5, 6) (5, 4, 6) (6, 5, 4) (5, 6, 4), (4, 6, 5), (6, 4, 5), (5, 5, 5), (6, 6, 3), (6, 3, 6) (3, 6, 6) Now outcomes on which first roll was a four, n(E) = (4, 5, 6), (4, 6, 5) P(E) n(E) 2 1 Pt') = n(S) = 216 = 1/108   1/108
Answer: C
The average of 1st 3 of 4 numbers is 6 and of the last 3 are 5. If the sum of the first and the last number is 21. What is the last numbers?  Choices:
A) 4
B) 5
C) 6
D) 7
E) 9

Solution: A + B + C = 18   B + C + D = 15   A + D = 21   A – D = 3   A + D = 21   2D = 18   D = 9   ANSW9R:9
Answer: E
A professional stock trader just signed her new yearly contract with her employer. She will receive a 6% raise over last year's pay for her base pay, plus the chance to earn a performance bonus of up to $3,000. Last year, she earned no performance bonus. This year, assuming that she earns the full performance bonus, her new pay will be effectively an 8% raise. What will her new pay be assuming that she earns the full performance bonus.  Pick one.
A) 162,000  B) 173,000  C) 180,000  D) 213,000  E) 284,000

Solution: let x = last year's pay   this year's pay + 3,000 = this year's effective pay   (1+.06)*x + 3,000 = (1+.08)*x   1.06x + 3,000 = 1.08x   3,000 = .02x   150,000 = x   thus the new pay effectively is (1+.08)*150,000 = 162,000   162,000
Answer: A
Set B consists of 19 elements. The average of set B is L. If a new element is added to the set and the average grows by K, what is the value of the new element?
Options:
A) a) L(1 + K / 5)
B) b) L * (K/100) - 20L
C) c) 20L(1+K/100)
D) d) 20(1+K/100)-19L
E) e) L*(K/5)-19

Solution: Let's assume the value of new element to bea. So converting the word problem into equation,   (19*L + a) / (19 + 1) = L + k ==> after solving the equation we will get a (value of newly added element) = L + 20K   But according to the answer options, problem writer wanted to conveyk% percent rise in average value.   If we consider this case than resulting equation will be,   (19*L + a) / ( 19+1 ) = L + (K/100)*L ==> 19L + a = 20 [ L + KL/100]   ==> a= 20L + KL/5 -19L   ==> a= L + KL/5 , which is equivalent to option [a) L(1 + K / 5)]
Answer: A
Which is a better investment 12% stock at 200 or 7 2/3 stock at 150?  Choose the correct choice from the following answers.
A) 12% stock at 200	B) Cannot be compared, as the total amount of investment is not given	C) 7 2/3 stock at 150	D) Both are equally good	E) None

Solution: Let investment in each case be Rs. (200 x 150).   Income in 1st case = Rs.12 x 200 x 150/200	= Rs. 1800.   Income in 2nd case = Rs.23 x 200 x 150/(3*150)= Rs. 1533.3   Clearly, 12% stock at 200 is better.   12% stock at 200NSWER:12% stock at 200
Answer: A
What is the probability of flipping a fair coin three times and the coin landing on heads on exactly one flip? Choose the correct choice from the following
A) 3/8	B) 5/8	C) 7/8	D) 1/8	E) 1/4

Solution: Probability = (Favorable combination)/(Total combination)   Favorable combination = (HTT, TTH, THT) ==> 3   Total combination = 8 (2^3)   Probability = (3)/(8)   (3/8)
Answer: A
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides? Answers.
A) 3	B) 9	C) 0	D) 4	E) 1

Solution: S = (1 + 2 + 3)/2= 
(1 + 2 + 3)/2 = 3
3   3nswer:3
Answer: A
If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100 (both inclusive) varies by how much? Choose the correct option:
A) 330  B) 360  C) 380  D) 400  E) 420

Solution: unit place increased by 3. So 6,16,26,....96. Total  10*3= 
 10*3 = 30
30 increased.   ten's place increased by 30. So 60,61,...69. Total  10*30= 
 10*30 = 300
300 increased.   So total varies= 300 + 30= 
300 + 30 = 330
330.   330NSWER:330
Answer: A
The average (arithmetic mean) of eight numbers is 43.1. If the sum of half of these numbers is 158.4, what is the average of the other half? Select:  A) 12.8  B) 24.2  C) 46.6  D) 72.1  E) 96.8

Solution: arithmetic mean = sum / total numbers   sum = 43.1 * 8= 
43.1 * 8 = 344.8
344.8   sum of half of these numbers is 158.4. So, 4 numbers sum is 158.4. Rest 4 numbers sum= 344.8-158.4= 
344.8-158.4 = 186.4
186.4   Arithmetic mean of the 4 nos= 186.4/4= 
186.4/4 = 46.6
46.6   Hence, 46.6 is the answer.
Answer: C
The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is
Answers:
A) 23 B) 39 C) 55 D) 28 E) 01

Solution: Explanation:   Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99) / 9   =( (11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55) / 9   = (4 * 110 + 55)/9 = 495 / 9= 
495 / 9 = 55
55.   Answer: 55
Answer: C
A train 100 meters long completely crosses a 300 meters long bridge in 36 seconds. What is the speed of the train is?
Pick:
A) 32 kmph	B) 76 kmph	C) 34 kmph	D) 43 kmph	E) 40 kmph

Solution: S = (100 + 300)/36   = 400/36 * 18/5= 
400/36 * 18/5 = 40
40   Answer:40 kmph
Answer: E
Two unbiased coin are tossed .what is the probability of getting atmost one head?
Choose one
A) 4/5	B) 3/4	C) 4/7	D) 9/7	E) 3/4

Solution: Here S={HH,HT,TH,TT}   Let 3/4e=event of getting one head   3/4={TT,HT,TH}   P(3/4)=n(3/4)/n(S)=3/4   Ans: 3/4
Answer: E
Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?	Choose the most appropriate option.
A) 6/4 hrs B) 3/4 hrs C) 9/4 hrs D) 3/4 hrs E) 1/4 hrs

Solution: Explanation:   Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time   so 1/3rd of the usual time = 15min   or usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.   Answer: 3/4 hrs
Answer: B
A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?	Select
A) 17 hours	B) 28 hours	C) 19 hours	D) 14 hours	E) 14 hours

Solution: 1/A + 1/B + 1/C = 1/8 (Given)   Also given that A = 2B and B = 2C   => 1/2B + 1/B + 2/B = 1/8   => (1 + 2 + 4)/2B = 1/8   => 2B/7 = 8   => B = 28 hours.   Answer: 28 hours
Answer: B
In a hostel, the number of students decreased by 10% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?  Choose the most appropriate option:
A) 19%  B) 15%  C) 25%  D) 40%  E) 7.4%

Solution: Cost of food (C) = Food consumed per student (F) * Number of students (N) * Price of food (P)   Originally,   C = FNP   When number of students decrease by 8%, and the price of food increases by 20%,   C = F(new) * (0.9N) * (1.2P)   => F(new) = F/(0.9*1.2)   => F(new) = 0.9259F   Therefore the new cost of food must be 92.59% of the old cost, or the cost of food must decrease by 7.4% (option 7.4%)
Answer: E
When members of a certain club elected a chairman, each member voted for one of the three candidates. If candidate 1 received three times as many votes as the other two candidates together and candidate 2 received nine more votes than candidate 3, which of the following can be the number of members in the club?
Choose the correct answer:
A) 24
B) 30
C) 32
D) 36
E) 40

Solution: Let x denote the number of votes for candidate 1, y the number of votes for candidate 2, and z the number of votes for candidate 3. The stem gives that x=3(y+z) and y=z+9. The number of club members =x+y+z=4(y+z)=4(2z+9)=8z+36. Because z must be a non-negative integer, the club can contain 36, 44, 52, ... members. Among the listed choices only choice D fits.   Answer: 36
Answer: D
If x and y are positive integers, and (4x)/(3y) is an integer, which of the following must be true?
I) x is a multiple of 4.
II) y is a multiple of 3.
III) x·y is a multiple of 3.	Choose the correct choice from the following answers
A) I only B) II only C) III only D) I and II only E) I, II and III

Solution: For (4x)/(3y) to be an integer, x must be a multiple of 3. So, x * y is a multiple of 3.   Hence, C. ( rest two statements may or may not be valid)   ANSWER:III only
Answer: C
Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 30 litres of tomato juice?
Choose the correct answer:
A) 3.75 liters.	B) 2.5 liters.	C) 8.5 liters.	D) 2.6 liters.	E) 2.1 liters.

Solution: Answer:   Explanation:   In each of the solutions, there is a pure tomato component and some water. So while boiling, water evaporates but tomato not. So we equate tomato part in the both equations.   â‡’â‡’ 10%(30) = 80%(x)   â‡’â‡’ x = 3.75 liters.   3.75 liters.nswer:3.75 liters.
Answer: A
The three sides of an acute angled triangle (all in cms) are 12, 19 and g. How many integer values can g take?  Select.
A) 23  B) 22  C) 15  D) 8  E) 7

Solution: In acute angle triangles all angles in the triangle should be less than 90.   The maximum length of g can be when it is the hypotenuse of the triangle.   So, g= sqrt(12^2 + 19^2) = 22.5 (approx)   The maximum length of g can be when side of length 12 is the hypotenuse of the triangle.   So, g = sqrt (19^2 - 12^2) = 14.7 (approx)   So, g>14.7 and g<22.5.   Hence, possible values for g can be 15,16,17,18,19,20,21 and 22. Total 8 values.   Answer 8.
Answer: D
What will be the cost of building a fence around a square plot with area equal to 25 sq ft, if the price per foot of building the fence is Rs. 58?	Choose one:
A) 1160  B) 1251  C) 1102  D) 1352  E) 1450

Solution: Let the side of the square plot be a ft.   a2 = 25 => a = 5   Length of the fence = Perimeter of the plot = 4a = 20 ft.   Cost of building the fence = 20 * 58 = Rs. 1160.   1160nswer: 1160
Answer: A
9 men and 6 women will finish a work in 5 days, similarly 3 men and 15 women can finish the same work in 10 days then in how many days 9 men and 10 women will finish the same work. Pick.
A) 185/41 days B) 175/41 days C) 195/41 days D) 195/51 days E) 195/49 days

Solution: 9 men and 6 women will finish a work in 5 days, similarly 3 men and 15 women can finish the same work in 10 days .   so 45 men   + 30= 
  + 30 = 30
30 men +150 women   15 men= 120 women   1 man = 8 women   9 men = 72 women   9 men + 6 women = 78 women   9 men +10 women = 82 women.   78 women complete work in 5 days   82 women will complete work in 5*78/82 = 5*39/41 = 195/41 days   ANSWER:195/41 days
Answer: C
In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?
Pick
A) 600 votes
B) 700 votes
C) 770 votes
D) 800 votes
E) 860 votes

Solution: Total = 100 %,   First person got 60%   second person got remaining 40 % of votes.   than 40 % = 280   40% = 40×7 = 280   100% =100×7 =700 votes   700 votes)
Answer: B
Let f(x) = x^2 + bx + c. If f(6) = 0 and f(-1) = 0, then b + c =	Choose the correct choice from the following
A) 18
B) 15
C) -15
D) -11
E) -24

Solution: f(x) = x^2 + bx + c. If f(6) = 0 and f(-1) = 0, then b + c =   f(6) = 0= 36+6b+c--- Taking 36 to the other side   -> 6b+c= -36   f(-1) = 0= 1-b+c --- taking -b+c to the other side   -> b-c=1   When we add these 2 equations, we get 7b= -35---> b= -5   And while substituting b= -5 we get c= -6.   b+c= -11--- Answer -11
Answer: D
A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?	Choose the correct choice from the following choices.
A) 288  B) 2889  C) 1000  D) 2770  E) 27912

Solution: Along one edge, the number of small cubes that can be cut   = 100/10= 
100/10 = 10
10   Along each edge 10 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut= 10 * 10 * 10= 
10 * 10 * 10 = 1_000
1000   Answer: 1000
Answer: C
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Choose the correct choice from the following choices:
A) 3:3
B) 8:7
C) 4:8
D) 2:9
E) 2:7

Solution: Let the length and breadth of the carpet in the first case be 3x units and 2x units respectively.   Let the dimensions of the carpet in the second case be 7y, 3y units respectively.   From the data,.   2(3x + 2x) = 2(7y + 3y)   => 5x = 10y   => x = 2y   Required ratio of the areas of the carpet in both the cases   = 3x * 2x : 7y : 3y   = 6x2 : 21y2   = 6 * (2y)2 : 21y2   = 6 * 4y2 : 21y2   = 8 : 7   nswer: 8:7
Answer: B
Ajay spends 25 per cent of his salary on house rent, 10 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajayâ€™s income?	Select the correct option.
A) Rs.67500
B) Rs.80500
C) Rs.60700
D) Rs.70500
E) None of these

Solution: Explanation:   Savings = Income â€“ expenditure   100 â€“ (25+10+15+10) = 40%   40% of income = Rs.27000   :. Income = 27000 x 100/40 = Rs. 67500.   Rs.67500nswer: Option Rs.67500
Answer: A
The side of a square has the length of 10. What is the area of the region shaded?	Choose the correct choice:
A) 48-8π B) 48-6 π C) 24+6π D) 16+8π E) 64-10π

Solution: The area of a square whose side is 10 – (the area of a square whose side is 4 + the area of the semi-circle whose side is 4) = the area of the region shaded   The correct answer is 64-10π.
Answer: E
Aman started a business investing Rs. 30,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business? Choose the correct choice from the following.
A) 36:105:118 B) 36:105:112 C) 12:105:110 D) 12:105:112 E) 36:105:111

Solution: Explanation:   Aman : Rakhi : Sagar = (30000 * 36) : (105000 * 30) : (140000 * 24)   = 36:105:112   Answer: 36:105:112
Answer: B
Which of the following is greatest? Pick.
A) 2/10  B) 2/10^2  C) 2/10^3  D) 2/10^4  E) 2/10^6

Solution: 2/10 > 2/100 > 2/1000 > 2/10000 > 2/1000000   2/10nswer : 2/10
Answer: A
A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Pick one.
A) 60 B) 50 C) 40 D) 70 E) 65

Solution: Time = 6   Distance = 540   3/2 of 6 hours = 6 * 3/2= 
6 * 3/2 = 9
9 Hours   Required speed= 540/9= 
540/9 = 60
60 Kmph   60nswer 60.
Answer: A
If each of the two lines L1 and L2 is parallel to line L3, which of the following must be true?
Choose the correct choice:
A) Lines L1 , L2, and L3 lie in the same plane  B) Lines L1 , ,L2 and L3 lie in different planes  C) Line L1 is parallel to line L2  D) Line L1 is the same line as line L2  E) Line L1 is the same line as line L3

Solution: If each of the two lines L1 and L2 is parallel to line L3,   it means L1 || L2 || L3.   And thats exactly in answer choice Line L1 is parallel to line L2.
Answer: C
8 , 16 , 24 , 32, 64 ....
In the sequence find the wrong term
Choose the most appropriate option: A) 8 B) 16 C) 24 D) 32 E) 64

Solution: In the sequence except 24 all others are the cube root of 2   so the answer is option 24) 24
Answer: C
What is the rate percent when the simple interest on Rs.800 amount to Rs.176 in 4 Years?
Choose the correct choice from the following
A) 5%  B) 8%  C) 3%  D) 9%  E) 5.5%

Solution: 176 = (180*4*R)/100   R = 5.5%   Answer: 5.5%
Answer: E
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road? Select:
A) 2m B) 3m C) 5m D) 6m E) 7m

Solution: Area of the park = (60 x 40) m2 = 2400 m2.   Area of the lawn = 2109 m2.   Area of the crossroads = (2400 - 2109) m2 = 291 m2.   Let the width of the road be x metres. Then,   60x + 40x - x2 = 291   x2 - 100x + 291 = 0   (x - 97)(x - 3) = 0   x = 3   Answer:3m
Answer: B