MU-NLPC/Calc-aqua_rat huggingface dataset:
What will be the difference between simple and compound interest @ 10% per annum on the sum of Rs 1000 after 4 years Select the correct option:  A) Rs 62.10  B) Rs 63.10  C) Rs 64.10  D) Rs 65.10  E) None of these

Solution: Explanation:   S.I.=1000∗10∗4 /100=400   Rs 64.10.I.=[1000(1+10 /100)4−1000]=464.10   So difference between simple interest and compound interest will be   464.10 - 400= 
  464.10 - 400 = 64.1
64.10   Option Rs 64.10
Answer: C
A father purchased dress for his 3 daughters. The dresses are of same color but diff size and they are kept in dark room. what is probability that all the 3 will not choose their own dress?
Choose the correct answer:
A) 22 B) 87 C) 29 D) 26 E) 191

Solution: Answer:87
Answer: B
A pizza shop made pizzas with many flavours. There are 9 different flavours, in that 2 flavours are taken to make pizza. In how many ways they can arrange?	Options:
A) 16 B) 26 C) 36 D) 46 E) 56

Solution: the answer is 36.because 2 is taken from 9 so its arranged in 9p2 ways i.e., 72   But 2 flavours may be same so it is arranged in 2! ways i.e., 9p2/2!=72/2= 
72/2 = 36
36   ANSWER:36
Answer: C
Spandy travels from X to Y at a speed od 40 kmph and returns by increasing his speed by 50%. What is his average speed for the whole journey?	Choose the correct choice from the following answers:	A) 36 kmph	B) 45 kmph	C) 48 kmps	D) 45 kmps	E) 42 kmps

Solution: Explanation :   Let the distance between X and Y be x km.   Time taken from X to Y @ 40 km/h=(x/40)hours   Time taken from Y to X @ 60 km/h=(x/60)hours   Average speed=2x/((x/40)+(x/60))= 48 km/h.   Answer : 48 kmps
Answer: C
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?  Pick one:
A) 3:8 B) 3:1 C) ratio of 3:4 D) 3:9 E) 3:2

Solution: Let the speed of the train be x km/hr and that of the car be y km/hr.   Then, 120/x + 480/y = 8 or 1/x + 4/y = 1/15 --- (i)   And, 200/x + 400/y = 25/3 or 1/x + 2/y = 1/24 --- (ii)   Solving (i) and (ii), we get x = 60 and y = 80   Ratio of speeds = 60:80 = 3:4   Answer:ratio of 3:4
Answer: C
A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 7, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist? Choices.
A) 18	B) 36	C) 72	D) 112	E) 422

Solution: {1}{2}{greater than 7}{divisible by 3}{3x}{x}:   The third digit can take 2 values: 8, or 9.   The fourth digit can take 3 values: 3, 6, or 9.   The fifth and sixth digits can take 3 values: 31, 62, or 93.   Total = 2*3*3= 
2*3*3 = 18
18.   18nswer: 18.
Answer: A
Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?
Choose the correct choice from the following:
A) 24
B) 25
C) 39
D) 40
E) 41

Solution: Option '39'
Answer: C
20 beavers, working together in a constant pace, can build a dam in 3 hours. How many V hours will it take 12 beavers that work at the same pace, to build the same dam?  Answers.
A) 2. B) V=4. C) V=5. D) V=6. E) 8.

Solution: C. 5 hrs   If there were 10 beavers it qould have taken double V= 6hrs.. so closest to that option is 5.
Answer: C
If 20% of a = b, then b% of 20 is the same as:	Choose the most appropriate option.
A) None of these  B) 10% of a  C) 4% of a  D) 20% of a  E) None of these

Solution: Explanation :   20% of a = b   ⇒b=20/100a   b% of 20 = (b/100)20 = (20/100a) /100X20=20×20×a/100×100 = (4a/100) = 4% of a   Answer : Option 4% of a
Answer: C
Xavier starts from P towards Q at a speed of 60 kmph and after every 12 mins increases his speed by 10 kmph. If the distance between P and Q is 60km, then how much time does he take to cover the distance?	Choose the correct answer.
A) 48	B) 59	C) 60	D) 56	E) 50

Solution: first 12min = 60 *12/60= 
60 *12/60 = 12
12km   2nd 12min= 70*12/60= 
70*12/60 = 14
14km   3rd 12 min= 80*12/60= 
80*12/60 = 16
16 km   4th 12 min= 90 *12/60= 
90 *12/60 = 18
18 KM   TOT48L time 12.4=48 min   48
Answer: A
Three years ago, the average age of M and N was 18 years. With P joining them, the average age becomes 22 years, How old is P now?
Choose the correct choice from the following answers.
A) 24 years
B) 27 years
C) 28 years
D) 30 years
E) 40 years

Solution: Explanation :   Present age of (M + N) = (18 x 2 + 3 x 2) years = 42 years.   Present age of (M + N + P) = (22 x 3) years = 66 years. P's age = (66 - 42)= 
(66 - 42) = 24
24 years.   24 yearsnswer : 24 years
Answer: A
In a class of 79 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?	Choose the correct option.
A) 6
B) 15
C) 25
D) 33
E) 54

Solution: Formula for calculating two overlapping sets:   A + B - both + NOT(A or B) = Total   so in our task we have equation:   41 (french) + 22 (german) - 9 (both) + NOT = 79   54 + NOT = 79   NOT = 79 - 54= 
79 - 54 = 25
25   So answer is 25
Answer: C
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement. Answers:
A) 8/41	B) 8/43	C) 9/42	D) 9/47	E) 9/37

Solution: The probability that first toy shows the even number,   =1021=1021   Since, the toy is not replaced there are now 9 even numbered toys and total 20 toys left.   Hence, probability that second toy shows the even number,   =920=920   Required probability,   =(1021)×(920)=(1021)×(920)   =9/42   9/42
Answer: C
A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?  Options
A) 6 days B) 8 days C) 5 days D) 3 days E) 4 days

Solution: 4/10 + 9/x = 1 => x = 15   1/10 + 1/15   = 1/6   => 6 days   6 daysnswer:6 days
Answer: A
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector has a central angle of 66°, what fraction of the wheel’s area is represented by the smallest sector?	Select
A) 1/24
B) 1/20
C) 1/15
D) 1/12
E) 1/10

Solution: The largest angle is 66.   Let d be the difference between any two angles in the progression.   The sum of all the angles will be:   66 + (66-d) + (66-2d) + ... + (66-7d) = 528 - 28d   The sum of all the central angles in a circle = 360   528 - 28d = 360   d = 168/28= 
168/28 = 6
6   The smallest sector is (66-7d)= 66-7*6= 
66-7*6 = 24
24   The fraction of the area covered is 24/360= 1/15.   The answer is 1/15.
Answer: C
If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 8 days. If he works at reduced efficiency, he can work without break and finish that same job in 8 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency? Choose the correct choice: A) 4/12 B) 3/4 C) 6/5 D) 11/12 E) 5/6

Solution: We're told that there are 2 ways for Dale to complete a job:   1) Full Efficiency: 2 days of work followed by 1 dayofffor a total of 8 days.   2) Reduced Efficiency: 8 straight days with no days off.   Working at Full Efficiency creates the following pattern:   2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on = 2+1+2+1+2= 
2+1+2+1+2 = 8
8 days   Totals: 6 days on, 2 days off   Reduced Efficiency means that Dale will do 6 days of work in 8 days, thus those Reduceddaysare 6/8=3/4 of Full Efficiency.   Answer : 3/4
Answer: B
If we write 1/3 as a decimal, what number holds the 100th digit's place to the right of the decimal?
Choices.
A) 1 B) 3 C) 4 D) 2 E) 0

Solution: Writing 1/3 as a decimal we get 0.33333....   This is an infinitely repeating decimal. So, 3 must be the number in the 100th digit's place to the right of the decimal.   Answer: 3
Answer: B
If Rs.1000 be invested at interest rate of 5% & the interest be added to the principal every 10 yrs, then the no. of yrs in which it will amount to Rs.2000 is:	Choose the correct answer:
A) 16 years
B) 16 1/3 years
C) 16 2/3 years
D) 17 years
E) 17 2/3 years

Solution: Total time= (10+6 2/3) = 16 2/3 years   16 2/3 years
Answer: C
The ratio of oranges to apples in a fruit basket is 3 to 4. However, after Mary and Alan eat four apples, the ratio changes to 3 to 2. How many oranges are there in the fruit basket?  Choose the correct choice from the following answers.
A) 2
B) 3
C) 6
D) 9
E) 12

Solution: O / A = 3/4 => O = 3/4(A).   Now O/A-4 = 3/2 . Now sub O value in this...we get 3A / 4A-16 = 3/2 => A = 8 and O = 6.   ANS option 6
Answer: C
A total of 40 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]	Select:
A) 15/40 B) 7/12 C) 2/3 D) 7/8 E) 8/7

Solution: Let' take the Number of geese to be 100.   Male = 40. Female = 60.   Now the second part of the Q, Let's take the Number migrated to be 20.   So we have 20 geese that migrated and out of that 20% are male i.e 20/100 *20 = 4 Geese (Males)   And now we know out of the total 20 geese , 4 are male , then 16 have to be female.   Now the ratio part , Male Geese Ratios = 4/40 = 1/10. - A   Female Geese Ratios =16/60=4/15 - B   Cross Multiply Equations A and B and you get =15/40 .   15/40ns 15/40
Answer: A
If f(x)=x^3 and g(x)=x^2, and x is a natural number, what CANNOT the answer be for f(g(x))?  Choose the correct choice from the following:
A) 1
B) 64
C) 729
D) 512
E) 4096

Solution: 512 is not a possible answer because 512 is equal to 8 cubed, because x must first be squared by g(x) before it is cubed by f(x), and 8 is not a perfect square, therefor there is no natural number that can be used to make f(g(x))=512. The answer is 512.
Answer: D
By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:	Options:
A) Rs. 2,600
B) Rs. 2,700
C) Rs. 2,800
D) Rs. 3000
E) NOne

Solution: Solution: Let Cost Price was X.   X + 14% of X = 2850   X + 14X/100 = 2850   X + 0.14X = 2850   1.14X = 2850   X = 2500.   So, Cost Price = Rs. 2500.   Now, Selling Price When profit remains at 8%,   = 2500 + 8% of 2500   = Rs. 2700.   Short-Cut   CP of bicycle = 100/114*2850 = Rs. 2500;   SP for a profit of 8% = 108/100*2500 = Rs. 2700.   Answer: Option Rs. 2,700
Answer: B
If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?  Choose the correct answer: A) 4/5 B) 3/5 C) 3/10 D) 1/5 E) 1/10

Solution: 15 + 20 + 55= 
15 + 20 + 55 = 90
90% 100 - 90= 10% to all others   1/10
Answer: E
The 7th grade French and Spanish classes each have 12 students in them, and there are two students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?  Choose the correct choice:
A) 19 B) 20 C) 21 D) 22 E) 23

Solution: French class + Spanish class = 24 students.   Two students are in both classes so they were counted twice.   The number of students taking just one class is 24 - 2(2) = 20.   The answer is 20.
Answer: B
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Choose the correct answer.
A) 15 B) 16 C) 17 D) 18 E) 19

Solution: Speed = 63 * 5/18 = 35/2 m/sec   Time taken = 280 * 2/35= 
280 * 2/35 = 16
16 sec   Answer: Option 16
Answer: B
A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos?
Pick:
A) 4 films and 12 photos
B) 5 films and 6 photos
C) 5 films and 14 photos
D) 6 films and 4 photos
E) 6 films and 28 photos

Solution: 1st photo = 0.55   Subsequent = 0.55*0.6= 
0.55*0.6 = 0.33
0.33   Price of 1 full film=0.55+0.33*35= 
0.55+0.33*35 = 12.1
12.1   Price of 4 full film= 12.1*4= 
12.1*4 = 48.4
48.4   52.58-48.4= 
52.58-48.4 = 4.18
4.18   4.18=0.55+0.33x   x=11   52.58--->4 full films and  1+11= 
 1+11 = 12
12 photos   Answer: A   Shortcut:   Price of 1 full film is 12.1 so we cannot have 5 full films as 12.1*5= 
12.1*5 = 60.5
60.5 and we need 52.58. Only option 4 films and 12 photos seems valid.
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 42 seconds. What is the length of the train? Choose the correct choice from the following answers.
A) 120 metres	B) 700 metres	C) 324 metres	D) 828 metres	E) 600 metres

Solution: Speed= 60 x	5/18	m/sec	= 50/3	m/sec.   Length of the train = (Speed x Time).   Length of the train = 50/3	x 42	m = 150 m.   Option 700 metres
Answer: B
Two trains running in opposite directions cross a man standing on the platform in 35 seconds and 28 seconds respectively and they cross each other in 32 seconds. The ratio of their speeds is: Choose the correct choice: A) 3 : 1 B) 4: 3 C) 3 : 8 D) 3 : 25 E) 3 : 4

Solution: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 35 x meters, and length of the second train = 28 y meters. (35 x + 28 y) / (x + y) = 32   ==> 35 x + 28 y = 32 x + 32 y ==> 3 x = 4 y ==> x/y = 4/3   Answer: Option 4: 3
Answer: B
If $ 500 amounts to $ 583.20 in two years compounded annually, find the rate of interest per annum.
Choose the correct choice from the following choices.
A) 6 B) 7 C) 8 D) 5 E) 4

Solution: Principal = Rs. 500; Amount = Rs. 583.20; Time = 2 years.   Let the rate be R% per annum. Then,   [ 500 (1+(R/100)^2 ] = 583.20 or [ 1+ (R/100)]^2 =   5832/5000 = 11664/10000   [ 1+ (R/100)]^2 = (108/100)^2 or 1 + (R/100) = 108/100 or R = 8   Answer C.   So, rate = 8% p.a.
Answer: C
If selling price is doubled, the profit triples. Find the profit percent. Choose the correct choice:
A) 20% B) 25% C) 30% D) 60% E) 100%

Solution: Let C.P. be Rs. x and S.P. be Rs. y.   Then, 3(y - x) = (2y - x) y = 2x.   Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.   Profit % = x	x 100	% = 100%   x   100%)
Answer: E
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 154, the sum due is: Select the correct option.
A) s. 704	B) s. 968	C) s. 1960	D) s. 2400	E) s. 2800

Solution: td=pw*r*t/100 so 154=pw*14*2/100 so pw=550   sum=pw+td..   sum=550+154= 
550+154 = 704
704   s. 704NSWER:s. 704
Answer: A
Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are black or both are queen? Choose the most appropriate option:
A) 32/200
B) 55/221
C) 55/200
D) 12/130
E) 45/200

Solution: n(S)=52C2=52*51/2*1= 
52*51/2*1 = 1_326
1326   A= event of getting black cards   55/221- queen black cards   n(A)=2C2=26*25/2*1   4C2=4*3/2*1   ==325/1326==>55/221   ANSWER 55/221
Answer: B
If 2^x + 2^y = 10^0 + 90^0, where x and y are non negative integers, what is the greatest possible value of |x â€“ y|?
Choose one
A) 0  B) 1  C) 2  D) 3  E) 4

Solution: |x â€“ y| for x and y 2^x + 2^y = 10^0 + 90^0   A. x= y x=y=0 1 + 1 = 1 + 1 right   B. 1 x=2, y=1 4 + 2 = 1 + 1 wrong   C. 2 x=3, y=1 8 + 2 = 1 + 1 wrong   D. 3 x=4, y =1 16 + 2 = 1 + 1 wrong   E. 4 x=5, y =1 32 + 2 = 1 + 1 wrong   My answer is 0.
Answer: A
A man buys a cycle for Rs. 1400 and sells it at a loss of 10%. What is the selling price of the cycle?  Pick
A) s. 1090	B) s. 1160	C) s. 1190	D) s. 1260	E) s. 1204

Solution: since,c.p=1400   loss%=(c.p-s.p)/c.p*100   10=(1400-s.p)/1400*100   so,after solving answer=1260.   ANSWER:s. 1260
Answer: D
A train running at the speed of 30 km/hr crosses a pole in 9 seconds. Find the length of the train?	Select the correct option:
A) 75	B) 65	C) 25	D) 288	E) 212

Solution: Speed = 30*(5/18) m/sec = 25/3 m/sec   Length of Train (Distance) = Speed * Time     (25/3) * 9= 
  (25/3) * 9 = 75
75 meter   75nswer:75
Answer: A
What will come in place of the x in the following Number series? 5,28,57,88,125	Answers: A) 140 B) 150 C) 166 D) 170 E) 180

Solution: 28=23+5   57=29+28   88=31+57   125=37+88   166=41+125= 
41+125 = 166
166   166
Answer: C
Train A leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
Select the correct option:  A) 8:15 am  B) 8:45 am  C) 9:00 am  D) 9:30 am  E) Cannot be determined from the information given

Solution: train A will cover 60 kms in 45 min at 7:45, the time when train B starts...   distance left to cover is 210-60=150..   combined speed=80+70=150..   so the trains meet in 1 hour i.e. 7:45 + 1 hr=8:45   ANSWER:8:45 am
Answer: B
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?	Choices.
A) 816 m
B) 167 m
C) 156 m
D) 150 m
E) 178 m

Solution: Speed=(60 * 5/18) m/sec   = (50/3) m/sec Length of the train   = (Speed x Time) = (50/3 * 9)= 
(50/3 * 9) = 150
150 m.   Answer: 150 m
Answer: D
Ajay sells goods to a customer at a profit of K % over the marked price, besides it he cheats his customer by giving 880g only instead of 1kg. Thus his overall profit percentage is 25%. Find the value of K.  Choose the correct choice from the following options
A) 8.33% B) 8.25% C) 10% D) 12.5% E) None of these

Solution: Let C.P. of 1000g = Rs. 1000   Profit % = K %   Profit = K/100 x 1000 = Rs.10 K   He then cheats his customer by giving 880g only instead of 1kg,   So, C.P of 880g = Rs. 880   S.P. of 880g = 1000 + 10K   Profit % = [ ( 1000 + 10K - 880 ) / 880 ] x 100 = 25   K = 10%   ANSWER:10%
Answer: C
Johnny travels a total of one hour to and from school. On the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 25 miles per hour. How far is it to the school? Choose the correct choice from the following answers:
A) 2 miles
B) 4 miles
C) 6.6 miles
D) 8 miles
E) 10 miles

Solution: Answer: C) 6.6 miles.   Average speed for round trip = 2*a*b/(a+b), where a,b are speeds   so, average speed was = 2*5*25/(5+25) = 6.6m/hr   the distance between schoolhome should be half of that. ie. 6.6 miles   Answer 6.6 miles
Answer: C
Two successive discounts of 20% and 20% are equivalent to a single discount of  Pick one
A) 42%  B) 40%  C) 36%  D) 34%  E) None

Solution: Answer   Given, r1 = 20% and r2 = 20%   ∴ Single discount equal to r1 and r2   = (r1 + r2 - r1 x r2) / 100 %   = (20 + 20 - 20 x 20) / 100   = 40 - 4= 
40 - 4 = 36
36%   36%orrect Option: 36%
Answer: C
For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale? Choose the correct option:
A) 22%
B) 24%
C) 25%
D) 28%
E) 27%

Solution: Total sales =800   Commission = (20/100)*500+ (30/100)*300   =100 + 90= 
100 + 90 = 190
190   %Commission=(190/800)*100=23.7~ 24%   Answer is 24%
Answer: B
Jaylen was planning to save all summer for a pair of Jordan 12s. They cost $250. Jaylen figured that he could cut grass to help with the cost of the sneakers. How many yards would Jaylen have to cut if he charges $2.15 per yard?  Choose one
A) 116 yards	B) 226 yards	C) 97 yards	D) 115.74 yards	E) 1 yard

Solution: 115.74 yards
Answer: D
A series of five integers have the following criteria:
I. The median of the integers is 6
II. The only mode is 2
III. The mean is 5
Which of the following is true?  Choose the correct option
A) The sum of the five integers is 30.
B) The sum of the five integers is 10
C) The median of the three largest integers is 6.
D) The largest integer is 9.
E) The largest integer is 8.

Solution: As per the given statements, we can infer (2+2+6+x+y)/5=5 ; x+y = 15   Since 6 is the median, x and y will have to be greater than 6. Only 7+8 can satisfy this condition.   Hence, The largest integer is 8. is the correct answer.
Answer: E
If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?	Pick:
A) 11%  B) 10%  C) 11 1/9 %  D) 9 1/11 %  E) 20 %

Solution: 100 – 10 = 90   90------10   100------? => 11 1/9%   ANSWER:11 1/9 %
Answer: C
A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 10:30 am in the same direction at the rate of 80 km/h. At what time will the second train catch the first train?
Choose one:
A) 7:00
B) 8:00
C) 9:00
D) 10:00
E) 11:00

Solution: In one hour and thirty minutes the first train travels 105 km.   The second train catches the first train at a rate of 80 km/h - 70 km/h = 10 km/h.   The second train will catch the first train in   105/10= 
  105/10 = 21/2 = around 10.5
10.5 hours, so at 9:00 pm.   The answer is 9:00.
Answer: C
Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=45, what is the maximum value of y for which f(x,y)=0?	Choose the correct choice.
A) 32
B) 35
C) 39
D) 40
E) 42

Solution: The question is finding y such that (45-y)! is a multiple of 45. That means we need to have 5*3^2 in (45-y)!   6! is the smallest factorial number with 5*3^2 as a factor.   45-y = 6   y = 39   The answer is 39.
Answer: C
Find the invalid no.from the following series 2,3,12,37,86,166,288
Choices.
A) 2
B) 3
C) 166
D) 86
E) 288

Solution: 3-2= 
3-2 = 1
1   12-3= 
12-3 = 9
9   37-12= 
37-12 = 25
25   86-37= 
86-37 = 49
49   166-86= 
166-86 = 80
80(this must be 81=167-86= 
167-86 = 81
81)   so wrong number in the sequence is 166   difference between two sucessive numbers sequence would be   1,9,25,49,81,121(square of 1,3,5,7,9,11)   166
Answer: C
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most  Choose the correct choice from the following.
A) 272	B) 277	C) 215	D) 187	E) 165

Solution: Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 * 6 * 6= 
6 * 6 * 6 = 216
216. Of these attempts, one of them is a successful attempt.   Maximum number of unsuccessful attempts= 216 - 1= 
216 - 1 = 215
215   Answer:215
Answer: C
If Rs.10 be allowed as true discount on a bill of Rs.110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is?	Choose the correct choice from the following answers:  A) 68.33  B) 18.33  C) 28.33  D) 48.33  E) 98.33

Solution: Explanation:   Present worth = Amount - TrueDiscount   = 110 -10 = Rs.100   SI on Rs.100 for a certain time = Rs.10   SI on Rs.100 for doube the time = Rs.20   TrueDiscount on Rs.120 = 120 - 100 = Rs.20   TrueDiscount on Rs.110 = = Rs.18.33   Answer: 18.33
Answer: B
A 64 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?  Choices: A) 8 B) 12 C) 13 D) 14 E) 16

Solution: Amount of salt = 6.4   Assume x gallons of water are added.   6.4 / 64 + x = 8/100   640 = 8x + 512   8x = 128   x = 16   Correct Option: 16
Answer: E
Two pipes A and B can separately fill a tank 12 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?  Choose the most appropriate option:  A) 5min  B) 6min  C) 10min  D) 8min  E) 9min

Solution: 4/12 + x/15 = 1   x = 10   ANSWER:10min
Answer: C
A bag holds 4 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?  Answers.
A) 1/10	B) 1/5	C) 3/10	D) 2/7	E) 1/2

Solution: probability of selecting first red marble = 4/7   probability of selecting second red marble without replacement = 3/6   final probability = 4/7 * 3/6 = 2/7   The correct answer is 2/7.
Answer: D