MU-NLPC/Calc-aqua_rat huggingface dataset:
ind the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2?  Select the correct option: A) 18 kmph B) 19 kmph C) 24 kmph D) 17 kmph E) 16 kmph

Solution: Total time taken = x/40 + 2x/20 hours   = 5x/40 = x/8 hours   Average speed = 3x/(x/8)   = 24 kmph   Answer: 24 kmph
Answer: C
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?  Choose the correct choice.
A) 39:40  B) 39:30  C) 39:47  D) 39:45  E) 39:41

Solution: 3: 4   39:40 = 3/7*210= 
3/7*210 = 90
90   390: 400   39:40   39:40nswer: 39:40
Answer: A
Maru obtained 66, 65, 82, 67 and 75 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?  Choose the correct choice from the following options
A) 71 B) 38 C) 39 D) 37 E) 75

Solution: Average = (66 + 65 + 82 + 67 + 75)/5= 
(66 + 65 + 82 + 67 + 75)/5 = 71
71.   71nswer: 71
Answer: A
A is twice as good as B. And together they finish a piece of work in 18days. In how many days will A alone finish the work Pick.
A) 25	B) 27	C) 15	D) 18	E) 21

Solution: (A's 1day work):(27's 1day work) = 2:1   A+27 1day work = 1/18   A's 1day work = (1/18)*(2/3) = 1/27   A alone can finish the work in 27 days   Answer is 27
Answer: B
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?  Choose the correct choice from the following options.
A) 22777  B) 28877  C) 26888  D) 28800  E) 67881

Solution: Simple interest = (18000 * 4 * 15)/100 = Rs. 10800   Amount = P + I = 18000 + 10800 = Rs. 28800   Answer:28800
Answer: D
In track last week, the boys ran 27 laps. The girls ran 9 more
laps. Each lap is a three-fourth of a mile. How many miles did the girls run?	Select the correct option:  A) 24 miles  B) 25 miles  C) 26 miles  D) 27 miles  E) 28 miles

Solution: The girls ran 27 + 9= 
27 + 9 = 36
36 laps. 36 x3/4= 108/4, which reduces to 27.   The girls ran 27 miles   correct answer 27 miles
Answer: D
Dan can do a job alone in 15 hours. Annie, working alone, can do the same job in just 10 hours. If Dan works alone for 3 hours and then stops, how many hours will it take Annie, working alone, to complete the job?
Pick one.
A) 2
B) 4
C) 6
D) 8
E) 10

Solution: Dan can complete 1/15 of the job per hour.   In 3 hours, Dan completes 3(1/15) = 1/5 of the job.   Annie can complete 1/10 of the job per hour.   To complete the job, Annie will take 4/5 / 1/10 = 8 hours.   The answer is 8.
Answer: D
Hannah and Glen will throw three dice each. The score is the sum of points on all three dice. If Hannah scores 3 in her attempt, what is the probability that Glen will outscore Hannah in his attempt?	Answers
A) 5/6 B) 35/36 C) 71/72 D) 215/216 E) 431/432

Solution: The total number of ways the dice can land is 6*6*6= 
6*6*6 = 216
216.   There is only 1 way that Glen can get a score of 3= 1+1+1   Glen wins for any other outcome.   P(Glen wins)=1-1/216=215/216   The answer is 215/216.
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train.
Choose one:
A) 150	B) 278	C) 179	D) 250	E) 191

Solution: :   Speed = 60*(5/18) m/sec = 50/3 m/sec   Length of Train (250istance) = Speed * Time     (50/3) * 15= 
  (50/3) * 15 = 250
250 meter   Answer:250
Answer: D
If each year the population of the country grows by 40%, how many years will elapse before the population of the country doubles?
Choose the correct choice from the following options.
A) 3
B) 4
C) 5
D) 6
E) 7

Solution: Till Year 2000, population is 100 .   Year 2001: Population becomes 140 ............. 1 Year elapsed   Year 2002: Population becomes 196 ............. 2 Year elapsed   Year 2003: Population > 200 .................. 3 year elapsed   3nswer:3
Answer: A
The average age of a group of n people is 14 years old. One more person aged 32 joins the group and the new average is 15 years old. What is the value of n? Select:
A) 13	B) 14	C) 15	D) 16	E) 17

Solution: 14n + 32 = 15(n+1)   n = 17   The answer is 17.
Answer: E
A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is? Options
A) 37 km/hr	B) 53 km/hr	C) 36 km/hr	D) 26 km/hr	E) 87 km/hr

Solution: Speed of the train relative to man = 125/10 = 25/2 m/sec.   = 25/2 * 18/5= 
25/2 * 18/5 = 45
45 km/hr   Let the speed of the train be x km/hr. Then, relative speed= (x - 5) km/hr.   x - 8 = 45 => x = 53 km/hr.   Answer:53 km/hr
Answer: B
If in coded language
23 = 10
72 = 63
65 = 66
84 = 96
Then
97 = ? Choose the most appropriate option:
A) 141  B) 142  C) 143  D) 144  E) 145

Solution: 2x(2+3)=10   7x(7+2)=63   6x(6+5)=66   8x(8+4)=96   9x(9+7)=144   ANSWER:144
Answer: D
A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?	Options:	A) 140	B) 388	C) 238	D) 119	E) 112

Solution: when folded along the breadth   we have 2(l/2 +b) = 34 or l+2b = 34...........(1)   when folded along the length, we have 2(l+b/2)=38 or 2l+b =38.....(2)   from 1 &2 we get l=14 and b=10   140rea of the paper = 14*10= 
14*10 = 140
140 sq cmV   140nswer: 140
Answer: A
Sequence of numbers are 1, 11, 21, 1211, 111221.
What will be the next one in the above sequence? Answers:
A) 223461
B) 443576
C) 532457
D) 126434
E) 312211

Solution: E   312211   It is a strange sequence. Each number describes the resemblance of the previous one, except the first one.   11 describes the previous '1' which contains one '1'   21 describes the previous '11' which contains two '1'   1211 describes the previous '21' which contains one '2' and one '1'   111221 describes the previous '1211' which contains one '1', one '2' and two '1'.   So the next sequence will be 312211, that is the previous '111221' contains three '1', two '2' and one '1'.
Answer: E
A family consists of two grandparents, two parents and six grandchildren. The average age of the grandparents is 65 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of family?	Choose the correct choice from the following answers:	A) 10/6years	B) B)31	C) C)30	D) D)33	E) E)35

Solution: Required average   = (65 x 2 + 35 x 2 + 6 x 6 )/(2 + 2 + 6)   = (134 + 70 + 18)/10   = 236/10   = 23 10/6years.   10/6yearsnswer is 10/6years
Answer: A
The guidelines at a certain college specify that for the introductory English class, the professor may choose one of five specified novels, and choose two plays from a list of 5 specified plays. Thus, the reading list for this introductory class has one novel and two plays. How many different reading lists could a professor create within these parameters?	Choose the correct option
A) 50 B) 55 C) 60 D) 65 E) 70

Solution: 5C1*5C2 = 5*10= 
5*10 = 50
50   The answer is 50.
Answer: A
Difference between the length &breadth of a rectangle is 26 m. If its perimeter is 208 m, then its area is?? We have: (l - b) = 26 and 2(l + b) = 208 or (l + b) = 104?
Choose the correct choice from the following options.
A) 2525 m^2
B) 2625 m^2
C) 2535 m^2
D) 2553 m^2
E) 2635 m^2

Solution: Solving the two equations, we get: l = 65 and b = 39.   Area = (l x b) = (65 x 39) m2 = 2535 m^2   2535 m^2
Answer: C
If N = 5/6 + 6/7 + 7/8 + 8/9 + 9/10 + 10/11, then which of the following must be true of N? Choose the correct answer:	A) 5/6 < N < 10/11	B) 21/10 < N < 9/2	C) 5 < N < 5 1/11	D) 5 < N < 5 5/11	E) 30 < N < 60

Solution: Each fraction is close to 1 so we know that the sum will be less than 6.   Lets just say they're each 1 so N=6.   But now we have to subtract the difference   1/6+1/7+1/8+1/9+1/10+1/11.   We can estimate these each as 1/10-->5/10 which is 1/2.   5 < N < 5 5/11 is the closest representation
Answer: D
14, 23, 32, 41, 50, 59, …
In the sequence above, each term is 9 more than the previous term. What is the 41st term W of the sequence?	Choose the correct choice from the following.
A) 360  B) 365  C) 369  D) 374  E) 383

Solution: First term , a= 14   Common difference , d = 9   nth term , tn = a + (n-1)d   41st term W , t41 = a+ 40*d = 14 + 40*9= 
14 + 40*9 = 374
374   Answer 374
Answer: D
12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. Find the diameter of each sphere.  Choose one:
A) 4 cm
B) 6 cm
C) 8 cm
D) 10 cm
E) 12 cm

Solution: Explanation:   In this type of question, just equate the two volumes to get the answer as,   Volume of cylinder =πr2h   Volume of sphere =43πr3   =>12∗4/3πr3=πr2h   =>12∗4/3πr3=π∗8∗8∗2   =>r3=8∗8∗2∗3/12∗4   =>r3=8   =>r=2cm   =>Diameter =2∗2=4cm   Option 4 cm
Answer: A
A school’s annual budget for the purchase of student computers increased by 20% this year over last year. If the price of student computers increased by 10% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?  Choose the most appropriate option.
A) 9%
B) 9.09%
C) 10%
D) 10.09%
E) 11.09%

Solution: Pick numbers.   Lats year: budget = $100, price = $1 --> the number of computers purchased = 100/1= 
100/1 = 100
100;   This year: budget= $120, price = $1.1 --> the number of computers purchased = 120/1.1 = ~109.09   Increase in the number of computers purchased = 9.09%   Answer: 9.09%.
Answer: B
There are 4 gold chain. 1 has 5links, other has 4 links and the other 2 have 3 links.
goldsmith takes 50 paise to open the link and 1.00/- to attach the link. what is least cost to
bake whole bracelet.
Choose the correct answer:
A) 3.50 rupees B) 4.50 rupees C) 4.80 rupees D) 5.50 rupees E) 6.50 rupees

Solution: Let,the shape of the bracelet is closed circle.[It is supposed to assume]   gold chain with 5 links: A_ _ _ _ _B   gold chain with 4 links: C_ _ _ _D   gold chain with 3 links: E_ _ _F   gold chain with 3 links: G_ _ _H   We,generally hold a common notion that since there are 4 gold chains and since we are to make a closed circular shaped bracelet, so,we have to join the ends namely :(B,C),(D,E),(F,G),(H,A),i.e, total 4 links have to be broken and further joined,i.e, total cost will then be 4(1+.50)= 6 rupees.   But,now we will tackle the problem in a different way.   Let, all the 3 links of GH chain are broken.   Then,   with the help of 1st broken link, B and C ends are joined.   with the help of 2nd broken link, D and E ends are joined.   and,   With the help of the remaining broken link, F and A ends are joined.   So, the above mentioned method explains us that breaking only 3 links and subsequently joining two free ends with each link facilitates us to make a whole closed circular shaped bracelet.   Therefore,the cost in this case : 3*(1+.50) = 3*(1.50)= 
3*(1.50) = 4.5
4.50 rupees;   So,evidently,the least cost to make the whole bracelet :4.50 rupees .   ANSWER:4.50 rupees
Answer: B
Average age of A and B is 24 years and average age of B, C and D is 22 years. The sum of the ages of A, B, C and D is  Choose the most appropriate option:	A) 76 years	B) 30 years	C) 77 years	D) 88 years	E) 56 years

Solution: Let their ages 10 years ago is x, 2x and 3x years.   10 + 2x + 10 + 3x + 10 = 90 hence x= 10   30 years’s present age = (2x + 10) =30 years   Answer: 30 years
Answer: B
Jake, Lena, and Inna need to drive home from a corporate reception in an SUV that can seat 5 people. If only Inna or Jake can drive, how many seat allocations are possible?	Pick one:
A) 24	B) 42	C) 120	D) 360	E) 720

Solution: 3 people ,5 seats, only 2 can drive   if inna is in one seat remaining, 2 people can be arranged in 2p2 i.e 2! =2 ways   since any one can drive total ways = 2 *2= 
2 *2 = 4
4 ways   4 seats can be chosen out of remaining 5 seats in 5c4 ways= 5!/(3!*2!)= 6 ways     4*6= 
  4*6 = 24
24   24
Answer: A
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Pick one.
A) 1.8
B) 1.5
C) 1.9
D) 1.2
E) 1.1

Solution: 72 --- 9 DS = 8   ? ---- 1   45 ---- 9 US = 5   ? ---- 1 S = ?   S = (8 - 5)/2= 
(8 - 5)/2 = 3/2 = around 1.5
1.5   Answer: 1.5
Answer: B
In a urban village of india named "owlna" , 80% people have refrigerator , 82% people have television , 70% people got computers and 75% got Air-conditionor. how many people(minimum) got all these luxury.	Options.
A) 3%
B) 8%
C) 7%
D) 10%
E) 15%

Solution: 7%   7%   100 - [ (100-80)+(100-82)+(100-70) +(100-75)]   =100-(20+18+30+25)   =100-93
Answer: C
If x - 8 = -|x|, then x=?  Choices.
A) 2	B) -4	C) 4	D) 3	E) 5

Solution: x - 8 = -|x| ...(given)   x^2 - 16x + 64 = x^2   0*x^2 + 16*x -64 = 0 ....(by solving above eq. we get) , x = 4 ===> Ans - 4
Answer: C
In a division, divident is 760, divisior is 36 and quotient is 21. Find the remainder.
Answers:
A) A)4	B) B)3	C) C)2	D) D)5	E) E)6

Solution: Explanation:   760 = 36 x 21 + r   760 = 756 + r   r = 760 - 756= 
760 - 756 = 4
4   4nswer: Option 4
Answer: A
The simple interest accrued on an amount Rs.10,000 at the end of two years is same as the compound interest on Rs.8,000 at the end of two years. The rate of interest is same in both the cases. What is the rate of interest?  Choose one
A) 22  B) 77  C) 66  D) 50  E) 88

Solution: Given that Rs.10,000 is invested in S.I for two years and Rs.8,000 in C.I for two years   => C.I - S.I   => 8,000 { [1 + r/100]2 - 1} = (10,000)2r /100   => 8{ 1 + 2r/100 + r2 / (100)2 - 1} = r/5   => 16r/100 + 8r2/(100)2 = 20r/100   => 4r/10 = 8r2/(100)2   => 8[r/100]2 - 4r/100 = 0   => r/100 {8r/100 -4} = 0   => r = 0% of 50%   Since r!= 0%, r =50%   Answer:50
Answer: D
Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $8.64 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discount rates is 22 percent, what is the discount rate on Pony jeans?	Choose the most appropriate option
A) 8%	B) 10%	C) 11%	D) 12%	E) 14%

Solution: Let x be the discount on Pony jeans. Then 0.22-x is the discount on Fox jeans.   3(0.22-x)(15) + 2x(18) = 8.64   9.9 - 45x + 36x = 8.64   9x = 1.26   x = 0.14   The answer is 14%.
Answer: E
Of 100 applicants for a job, 50 had at least 5 years of prior work experience, 40 had advanced degrees, and 10 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?  Select
A) 30 B) 15 C) 20 D) 34 E) 22

Solution: Had advanced degrees and 5 years work experience: 10   Only had 5 years work experience: 50-10= 
50-10 = 40
40   Only had advanced degrees: 40-10= 
40-10 = 30
30   100-10-40-30= 
100-10-40-30 = 20
20   Answer: 20
Answer: C
An urn contains g green marbles and b blue marbles. If 3 green marbles and 7 blue marbles are added, and then one marble is selected at random from the urn, what is the probability that a blue marble will be drawn?
Choose one:
A) b/(b+g)
B) (b+5)/(g+3)
C) (b+5)/(b+g+8)
D) (b+5)/(b+g+3)
E) b+7/(b+g+10)

Solution: no of fav outcomes i.e. blue MArbles = b+5   Total no of outcomes i.e. total Marbles = (b+7)+(g+3)= b+g+10   probability = (b+7) /(b+g+10)   Answer b+7/(b+g+10)
Answer: E
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 12%?  Select the correct option:
A) 20%  B) 25%  C) 13 1/30%  D) 32%  E) 13%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 88   2/3 SP1 = 88   SP1 = 132   100 --- 32 => 32%   ANSWER:32%
Answer: D
In a group of 6 male and 4 female, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? Choose the correct choice from the following answers:
A) 200 B) 209 C) 207 D) 300 E) 350

Solution: req no = 6C1*4C1 + 6C2*4C1 + 6C4   ==6C1+4C1 + 6C2+4C2 + 6C3*4C1 + 6C4   (6*4) + (6*5/2*1 * 4*3/2*1) + 6*5*4/3*2*1*4 + 6*5/2*1   ==> 209   ANSWER 209
Answer: B
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?	Answers.
A) 39:40	B) 39:86	C) 39:18	D) 39:10	E) 32:40

Solution: 3: 4   39:40 = 3/7*210= 
3/7*210 = 90
90   390: 400   39:40   39:40nswer: 39:40
Answer: A
If x and y are different integers and x^2 = xy, which of the following must be true ?
I. x = 0
II. y = 0
III. x = -y	Select.
A) I only	B) II only	C) III only	D) I and III only	E) I, II, and III

Solution: Re-arrange equation: x^2 - xy = 0 => x*(x-y) = 0   Therefore, either x=0 or x=y. We know that x and y are different, so x must be equal to 0.   I onlyNSWER:I only
Answer: A
Each factor of 230 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 46? Choose the correct choice from the following options.
A) 1/16 B) 5/42 C) 1/8 D) 3/16 E) 1/4

Solution: so the # of factors 230 has 8 (see below);   so out of 8 factors only two are multiples of 46: 46 and 230, itself;   So, the probability is 2/8=1/4.   Answer: 1/4.
Answer: E
A parking space have 8 different slots. 8 cars has to arrange in 8 slots. But there are exactly 4 cars between 1 specified cars. In how many ways cars can be arranged?  Choose the correct choice.
A) 1210 B) 120 C) 1500 D) 1640 E) 1440

Solution: we arranged 1 specified cars in 1 slots = 1!   remaining 5 cars in 5 slots = 5!   number of ways = 1!*5! = 120   correct option is 120
Answer: B
A class of six students has to split into two indistinguishable teams of three people. Compute
the number of distinct team arrangements that can result.
Choose one:
A) 2 distinct teams.
B) 4 distinct teams.
C) 10 distinct teams.
D) 8 distinct teams.
E) 7 distinct teams.

Solution: Consider one specific person of the six students. There are   (5   2)   to choose the 2   partners on his team. Hence, there are   (5   2)   = 10 distinct teams.   correct answer 10 distinct teams.
Answer: C
If x is divisible by 2, 14, and 10, which of the following must be the least multiple of x?  Choose the most appropriate option:
A) 308
B) 154
C) 70
D) 44
E) 21

Solution: We are looking for the L70M (which is not 0) of 2, 10 = 2*5, 14 = 2*7:    2 * 5 * 7= 
 2 * 5 * 7 = 70
70   The answer is 70.
Answer: C
A person distributed 20% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $50000. Find his total income?  Pick one
A) A)452000 B) B)562000 C) C)800000 D) D)1000000 E) E)652000

Solution: 3 children got = 3*20= 
3*20 = 60
60%   wife got= 30%   orphan house = 5%   total = 60+30+5= 
60+30+5 = 95
95%   remaining= 100-95= 
100-95 = 5
5%   5%= 50000   100% = 50000*100/5= 
50000*100/5 = 1_000_000
$1000000   Answer is 1000000
Answer: D
In a game of 80 points; A can give B 5 points and C 15 points. Then how many points B can give C in a game of 60 ?	Choose the correct option:	A) B can give C 1 points	B) B can give C 4 points	C) B can give C 2 points	D) B can give C 6 points	E) B can give C 8 points

Solution: A: B = 80 : 75, A : C = 80 : 65.   B/C = ( B/ A * A/C) = (75 / 80 * 80 / 65) = 15/13 = 60 /52 = 60: 5   Therfore ,In a game of 60, B can give C 8 points.   Answer is B can give C 8 points.
Answer: E
If c equals the sum of the even integers from 2 to 504, inclusive, and m equals the sum of the odd integers from 1 to 297, inclusive, what is the value of c + 2m?
Options: A) 85957 B) 108158 C) 299376 D) 107860 E) 150788

Solution: Use following formulae for such problems:   Sum of evenly spaced integers = (# of integers)*(mean of integers)   # of integers = [(last - first)/2] + 1   Mean of integers = (last + first)/2   In above problem:   # of integers = [(504 - 2)/2] + 1= 252 and [(297-1)/2]+ 1 (504 - 2)/2  + 1= 
(504 - 2)/2  + 1 = 252
252 and [(297-1)/2]+ 1 = 149   Mean of integers (297-1)/2 + 1= 
(297-1)/2 + 1 = 149
149   Mean of integers= (504 + 2)/2= 
(504 + 2)/2 = 253
253 and   (297 + 1)/2= 
  (297 + 1)/2 = 149
149   Sum of integers= (252*253)= 
(252*253) = 63_756
63756 and   (149*149)= 
  (149*149) = 22_201
22201   Thus their sum (c + 2m)= 63756 + (2 * 22201) = 108258   ANSWER:108158
Answer: B
A boy gives 15 percent of a pie to his mother, 10 percent to his father and 25 percent to his sister. What fraction of the pie is leftover?  Choices
A) 4/5	B) 3/5	C) 1/2	D) 1/5	E) 1/10

Solution: 100%-(15%+10%+25%)=50% of the pie remains --> 50% 100 -(15 +10 +25 )= 
100 -(15 +10 +25 ) = 50
50% of the pie remains --> 50%= 20/100 = 1/5.   Answer: 1/2.
Answer: C
How many times are the hands of a clock at right angle in a day? Select
A) 11	B) 22	C) 33	D) 44	E) 55

Solution: Sol.   In 12 hours, they are at right angles 22 times.   ∴ In 24 hours, they are at right angles 44 times.   Answer 44
Answer: D
If xy > 0, 1/x + 1/y = 2, and 1/xy = 8, then (x+y)/4 = ?
Pick.
A) 1/16	B) 1/6	C) 1/5	D) 5	E) 6

Solution: (1/X+1/Y)=2 canbe solved as {(x+y)/xy}=8. Substituting for 1/xy=8, we get   x+y=2/8   ==> (x+y)/4= 2/(8*4)=1/16.   1/16
Answer: A
In 10 years, A will be twice as old5as B was 10 years ago. If A is now 5 years older than B, the present age of B is  Choose the correct answer.
A) 35	B) 37	C) 39	D) 41	E) 42

Solution: Explanation:   Let B's age = x years.   Then, As age = (x+ 5) years.   (x+5+10)=2(x—10)   hence x=35.   Present age of B = 35 years   35nswer: Option 35
Answer: A
Harriet planned to complete a certain task on Friday, January 1, but because of illness the completion date was postponed 48 days. On which day of the week in February was the task completed?  Pick one:
A) Monday B) Tuesday C) Wednesday D) Thursday E) Friday

Solution: This type of story problem is essentially just about a repeating pattern and a 'remainder.'   We're told that Harriet planned to complete a certain task on FRIDAY, January 1, but because of illness the completion date was postponed 48 DAYS. We're asked on what day of the week the task was actually completed on.   Since the task was supposed to be completed on a Friday....   A 1 day postponement would be Saturday   A 2 day postponement would be Sunday   A 3 day postponement would be Monday   A 4 day postponement would be Tuesday   A 5 day postponement would be Wednesday   A 6 day postponement would be Thursday   A 7 day postponement would be Friday   A 8 day postponement would be Saturday   Etc.   So this question is ultimately asking how many 'groups of 7' are there, and how many 'leftover days' are there, when you postpone 48 days.   48/7 = 6 remainder 6   This means that there are 6 full weeks AND 6 extra days after a Friday....Thus, the task was completed on a Thursday.   Thursday
Answer: D
what is 66.67% of 804 of 0.1666 ?  Choose the correct choice:
A) 19.33	B) 54.55	C) 89.33	D) 97.21	E) 68.77

Solution: 66.67 % = 2/3   2/3 of 804 = 2/3 * 804= 
2/3 * 804 = 536
536   536 of 0.166= 536 * (1/6) = 89.33   .... Ans - 89.33
Answer: C
397 x 397 + 104 x 104 + 2 x 400x 104 = x? Options.
A) 234341 B) 235633 C) 234677 D) 315656 E) 251501

Solution: Given 251501xp.	= (397)2 + (104)2 + 2 x 397 x 104   = (397 + 104)2   = (501)2 = (500 + 1)2   = (5002) + (1)2 + (3 x 500 x 1)   = 250000 + 1 + 1500= 
250000 + 1 + 1500 = 251_501
251501   251501
Answer: E
A table is bought for Rs.1000/- and sold at Rs.1200/- find the loss percentage
Choose one:  A) 10% Loss  B) 10% Gain  C) 20% Loss  D) 20% Gain  E) 30% Gain

Solution: Formula = (Selling price ~ Cost price)/Cost price * 100   = (1200 ~ 1000)/1000 = 20% Gain   20% Gain
Answer: D
What is the place value of 8 in the numeral 8259 Choose one:
A) A)2700  B) B)2800  C) C)2900  D) D)2980  E) E)8000

Solution: 8 * 1000= 
8 * 1000 = 8_000
8000   8000
Answer: E
A bicycle wheel has a diameter of 0.61m. How many complete revolutions does it make in 1km?  Choose the correct choice from the following answers:
A) 246	B) 522	C) 1408	D) 710	E) 223

Solution: 1 revolution = 3.14 * diameter.   Number of revolutions in 1km = 1000m / ( 3.14 * 0.61m ) = 522.1. Hence 522 complete revolutions.   Answer 522
Answer: B