MU-NLPC/Calc-aqua_rat huggingface dataset:
A circular path of 12 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 50p per m2?  Pick.
A) Rs.49
B) Rs.40
C) Rs.81.72
D) Rs.42
E) Rs.43

Solution: Explanation:   π (14^2 - 12^2) = 22/7 * 52 = 163.43   163.43 * 1/2 = Rs.81.72   Answer: Option Rs.81.72
Answer: C
A man rows his boat 95 km downstream and 60 km upstream, taking 2 hours each time. Find the speed of the stream?
Choose the most appropriate option:
A) 76 kmph	B) 6 kmph	C) 9 kmph	D) 8 kmph	E) 4 kmph

Solution: Speed downstream = d/t = 95/(2)   = 48 kmph   Speed upstream = d/t = 60/(2)= 
60/(2) = 30
30 kmph   The speed of the stream= (48 - 30)/2= 
(48 - 30)/2 = 9
9 kmph   Answer:9 kmph
Answer: C
If (10^20) – 65 is written as a base 10 integer, what is the sum of the digits in that integer?	Choose the correct choice from the following answers.
A) 200
B) 170
C) 180
D) 100
E) 210

Solution: We know that (10^20) is ending 00, so (10^20) – 65=9....9935   total number of digits in (10^20) – 65 is 20, or 18 digits of 9 and two digits 3 and 5.   answer choice is 18*9+(3+5)   18*9+8= 
18*9+8 = 170
170   Answer is 170 170
Answer: B
All the students of class are told to sit in circle shape. Here the boy at the 10 th position is exactly opposite to 40 th boy. Total number of boys in the class? Choose the most appropriate option
A) 50	B) 45	C) 60	D) 55	E) 53

Solution: As half the circle shape consist of 40-10= 
40-10 = 30
30 boys,   So total number of boys in full circle=2*30= 
2*30 = 60
60   ANSWER: 60
Answer: C
If a tire rotates at 400 revolutions per minute when the car is traveling 144km/h, what is the circumference of the tire? Choose the correct choice from the following:
A) 2
B) 1
C) 4
D) 6
E) 5

Solution: 400 rev / minute = 400 * 60 rev / 60 minutes   = 24,000 rev / hour   24,000 * C = 144,000 m : C is the circumference   C = 6 meters   correct answer 6
Answer: D
Albert invested Rs. 6500 in a scheme for 2 years at compound interest rate 6.5% p.a. How much amount will Albert get on maturity of the fixed deposit?  Choose the correct choice from the following options.
A) s.8829 B) s.7200 C) s.7200.5 D) s.4000 E) s.7372.46

Solution: Amount = [6500 * (1 + 6.5/100)2]   = 6500 * 106.5/100* 106.5/100   = Rs.7372.46   Answer:s.7372.46
Answer: E
Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is
Choose the correct choice from the following:
A) 33	B) 87	C) 27	D) 48	E) 10

Solution: Explanation:   Let the first number be x,   Then, sum of the four numbers = x + 4x = 5x.   so, 5x/4 = 60 or x = (60 * 4) / 5= 
(60 * 4) / 5 = 48
48.   Answer: 48) 48
Answer: D
In March, Kurt ran an average of 1.2 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?	Choose the correct choice from the following
A) 3590/60^2	B) 2410/60^2	C) 2390/60^2	D) 3586/60	E) 2990/60^2

Solution: Kurt ran at an average of 1.2 miles/hour in march. So to run 1 mile he would take 1/1.2 hours = (60 * 60)/1.2= 
(60 * 60)/1.2 = 3_000
3000 seconds.   If he increases his speed by 10 seconds, he will complete a mile in 2990 seconds. Converting in hours= 2990/(60 * 60) = 2990/(60^2)   ANSW2990/60^2R: 2990/60^2
Answer: E
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 42 years now, the son's age 4 years back was:	Choose the correct choice
A) 12 years.	B) 14 years.	C) 17 years.	D) 16 years.	E) 19 years.

Solution: Let the son's present age be x years. Then, (42 - x) = x   2x = 42.   x = 21   Son's age 5 years back (21- 4)= 
(21- 4) = 17
17 years.   ANSWER :17 years.
Answer: C
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Choices: A) 4630 B) 4920 C) 5120 D) 7960 E) 8960

Solution: l = (48 - 16)= 
(48 - 16) = 32
32 m,   b= (36 -16)= 
(36 -16) = 20
20 m,   h= 8 m.   Volume of the box = (32 x 20 x 8) m3 = 5120 m3.   answer :5120
Answer: C
Which one of the following numbers is exactly divisible by 12?
Choose the correct choice from the following choices:	A) A)12	B) B)13	C) C)14	D) D)15	E) E)16

Solution: 12/12= 
12/12 = 1
1 answer is 12
Answer: A
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choose the correct option:
A) 5  B) 6  C) 9  D) 7  E) 3

Solution: 7 * 8 : 9 * x = 8:9   => x= 7   Answer: 7
Answer: D
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 72 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.6 years and the standard deviation is 2.6 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?	Choose one:
A) 17% B) 16% C) 15% D) 14% E) 13%

Solution: Average = 7.6   SD = 2.6   7.6 - 2.6 < 72% of distribution < 7.6 + 2.6   5.0 < 72% of distribution < 10.2   28% is outside this range.   Given: Distribution is symmetric. So 14% of distribution is less than 5.0 and the other 14% of distribution is greater than 10.2.   Answer: 14%
Answer: D
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 correct option:	A) 5/221	B) 55/221	C) 45/221	D) 59/221	E) 1/221

Solution: 2 cards drawn from 52 cards,so chances are 52C2   chances for drawing both black cards=26C2   chances for drawing both queen=4C2   so we will be having 2 queens in black cards,thus it is 2C2 which is 1   probability=(325+6-1)/1326=55/221   ANSWER:55/221
Answer: B
A man swims downstream 36 km and upstream 48 km taking 6 hours each time, what is the speed of the man in still water?	Select the correct option:
A) 5
B) 24
C) 7
D) 42
E) 6

Solution: 36--- 6 DS = 6   ? ---- 1   48 ---- 6 US = 8   ? ---- 1 M = ?   M = (6 + 8)/2= 
(6 + 8)/2 = 7
7   Answer: 7
Answer: C
The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 33 ?  Choose the most appropriate option: A) 440 B) 512 C) 550 D) 620 E) 650

Solution: Large numbers are made in two ways:   Either by taking small prime numbers and raising them to higher powers or taking large prime numbers in the first place.   31*2= 
31*2 = 62
62 (large prime number)   2^6= 64 (many small prime numbers)   To get a sum as large as 33 or more, you would need some large prime numbers. So options such as 512, 700 and 750 which have small prime numbers as factors should be ignored first. 440 also splits into 11, 4( which is 2*2), 2, 5 - relatively small prime numbers.   You are left with 620 which is 31*2*2*5 (sum greater than 33)   Answer (620)
Answer: D
Curious Elva asked her father what he would gift for her nineteenth birthday. Father replied that it would depend on the day of the week and be one of SUNglasses, MONeybag, ..., FRIedcake, and SATchel. Please help Elva find the day of the week on 08-Jan-2029 Choose the correct choice from the following options:
A) Monday B) Tuesday C) Thursday D) Saturday E) Sunday

Solution: at year 2000 there is 0 odd day as it is multiple of 400.   from 2001 to 2028 there are 28 years in which  28/4= 
 28/4 = 7
7 are leap years and 21 are ordinary days.   Odd day in 7 leap years= 7*2= 
7*2 = 14
14   Odd day in 21 ordinary days= 21   total odd day till 31 dec 2028 = 14+21= 
14+21 = 35
35/7= 0   hence 1jan 2029 will be Monday.   &   8jan 2029 will also be monday   MondayNSWER:Monday
Answer: A
If the mean of weight of students in a class of weight 38, 50, 70, 88 and 110 is 71.5 kg, what is the mean of the class if student of weight 50 kg left the class i.e state whether what will happen to original mean value ?  Choose the correct choice from the following options
A) increase  B) decrease  C) remains unchanged  D) can't say  E) none of the above

Solution: Given mean of class = M1 = 71.5 kg   Mean = (Sum of all weights in class)/(no. students)   M2 = (38+70+88+110)/(4)= 
(38+70+88+110)/(4) = 153/2 = around 76.5
76.5 kg   since, M1 < M2   increasenswer=increase
Answer: A
The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of the correct time. How much a day does the clock gain or lose?	Choose the correct choice from the following choices:
A) (10 + 10/143 )min B) (10 + 10/343 )min C) (10 + 10/143 )min D) (18 + 10/543 )min E) (10 + 10/743 )min

Solution: Explanation:   In a correct clock, the minute hand gains 55 min. spaces over the hour hand in 60 minutes.   To be together again, the minute hand must gain 60 minutes over the hour hand.   55 minutes are gained in 60 min.   60 min. are gained in [(60/55) * 60] min = min.   But they are together after 65 min.   Therefore, gain in 65 minutes = = min.   Gain in 24 hours = = 1440/143 min.   Therefore, the clock gains (10 + 10/143 )minutes in 24 hours.   (10 + 10/143 )minnswer: (10 + 10/143 )min) (10 + 10/143 )min
Answer: A
In how much time will a train of length 120 m, moving at 36 kmph cross an electric pole?	Choices
A) sec  B) sec  C) sec  D) sec  E) sec

Solution: Convert kmph to mps. 36 kmph = 36 * 5/18= 
36 * 5/18 = 10
10 mps.   The distance to be covered is equal to the length of the train.   Required time t= d/s = 120/10= 
120/10 = 12
12 sec.   Answer:sec
Answer: D
The population of Mangalore was 1283575 on Jan 1st 2011 and the growth rate of the population was 10% in the last year and 5% in the year prior to it,the only exception being 2009 because of huge exodus there was a decline of 20% in the population. What was the population in Jan 1 2005?	Choose the correct option
A) 11,00,000  B) 12,00,000  C) 13,00,000  D) 14,00,000  E) 15,00,000

Solution: {(105/100)^4*80/100*110/100}x=1283575=>x=12,00,000(approx)   ANSWER:12,00,000
Answer: B
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.
Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 64 fail inspection?  Choices: A) 72 B) 192 C) 156 D) 256 E) 264

Solution: Total of 800 boards. All that fail verification are indeed faulty. So the 64 are indeed faulty. 1/8 those that pass are also faulty.   From the 800 we know 64 fail. So 736 must pass. Of these 1/8 are faulty. 736 divided by 8 gives you 92.   What one must do now is to add to the 92 which were not detected the actually detected faulty ones, namely the 64.   Total faulty: 156.   Answer: 156
Answer: C
What will come in place of the x in the following Number series? 4, 10, 22, 46, 94, x  Choose the most appropriate option.
A) 170  B) 164  C) 210  D) 168  E) 190

Solution: There are 2 functions here: (Multiply by 2 and Adding 2 to get the next number in the series)   4 x 2 + 2 = 10   10 x 2 + 2 = 22 etc   Hence : 94 x 2 + 2 = 190   Correct Answer is 190
Answer: E
33 1/3% of 36 ?  Choose one:  A) 16  B) 21  C) 18  D) 12 number  E) 18

Solution: Explanation:   33 1/3 % = 1/3   1/3 * 36= 
1/3 * 36 = 12
12   Answer: Option 12 number
Answer: D
A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km? Options.
A) 79.2 Kmph B) 79.3 Kmph C) 77.25 Kmph D) 78.5 Kmph E) 65.5 Kmph

Solution: Formula = 2 Ã— F.S*S.P/F.S+S.P   = 2 Ã— 72 Ã— 88/88+72   = 79.2 Kmph   79.2 KmphNSWER IS 79.2 Kmph
Answer: A
A pump can fill a tank with water in 6 hours. Because of a leak, it took 12 hours to fill the tank. The leak can drain all the water in ?
Choose the correct choice from the following choices.
A) 12hr	B) 11hr	C) 13hr	D) 14hr	E) 16hr

Solution: Work done by the leak in 1 hour = 1/6 - 1/12 = 1/12   Leak will empty the tank in 12 hours   12hrnswer is 12hr
Answer: A
if a bullet fired out of a gun weighs M, takes T time to leave the barrel where it has been accelerated to V, how much recoil force will the firearm (of weight X) exert against the user? (negate effect of muzzle blast)
Describe your answer as an equation for F=
Choose the correct choice:
A) F=XT
B) F=(MV)/T
C) F=(VT)/(MX)
D) F=(X^2)/M
E) F=(MT)^V

Solution: F=(MV)/T) F=(MV)/T
Answer: B
In the Mountainside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?	Choose the correct choice from the following choices:
A) 50.
B) 45.
C) 40.
D) 30.
E) 25.

Solution: Given there are 50 students In the Mountainside summer camp , 90% of 50 = 45 boys and remaining 5 girls.   Now here 90% are Boys and 10% are Girls.   Now question is asking about how many boys do we need to add, to make the girls percentage to 5 or 5%..   If we add 50 to existing 45 then the count will be 95 and the girls number will be 5 as it.   Now boys are 95% and girls are 5%. ( out of 100 students = 95 boys + 5 girls ).   IMO option 50. is correct.
Answer: A
City A to city B, Raja drove for 1 hour at 72 mph and for 3 hours at 80 mph. What was the average speed for the whole trip?
Select the correct option:
A) 57  B) 57.5  C) 78  D) 59  E) 62

Solution: The total distance is 1×72+3×80=312   And the total time is 4 hours. Hence,   Average Speed=(Total Distance/Total Time)=312/4= 
312/4 = 78
78   Answer : 78
Answer: C
In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 100 students and the middle school enrolled 50 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s? Choose the correct choice from the following:
A) r/3 B) r/5 C) r/7 D) r/9 E) r/2

Solution: Total per head = 2r/150   After s transfer both schools have total for head.   So at High School it will be:   r+s = (100)* (2r/150) = 4r/3   i.e. s = 4r/3 - r/1 =4r-3r/3=r/3   r/3nswer : r/3
Answer: A
A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 3 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 62 unique alphanumeric case sensitive characters.  Choose the most appropriate option
A) 63^4	B) 62^5	C) 62(62^4)	D) 63(62^4)	E) 63(62^3)

Solution: Total number of passwords = number of 4 character password +number of 5 character password   = 62^4 + 62^3 (Since there is no limitation on repetition , each character can be chosen in 62 ways )   =62^3(1+ 62)   =62^3 * 63   Answer 63(62^3)
Answer: E
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6}, what is the probability that xy will be even?
Choose the most appropriate option
A) 1/6  B) 1/3  C) 1/2  D) 2/3  E) 5/6

Solution: Probably the best way to solve would be to use 1 - P(opposite event) = 1 - P(odd) = 1 - P(odd)*P(odd) = 1 - 2/4*2/3 = 8/12 = 1/3.   Answer: 1/3.
Answer: B
A car covers a distance of 1260 km in 10 hours. Find its speed? Choose the correct answer
A) 104  B) 277  C) 298  D) 126  E) 213

Solution: 1260/10= 
1260/10 = 126
126 kmph   Answer:126
Answer: D
Set A of 8 positive integers may have the same element and have 40. And set B of 8 positive integers must have different elements and have 40. When m and n are the greatest possible differences between 40 and other elements’ sums in set A and set B, respectively, m-n=?	Choose the correct choice from the following choices.
A) 21  B) 29  C) 23  D) 25  E) 26

Solution: This is maximum-minimum. Hence, 40-(1+1+1+1+1+1+1)=32 and 40-(1+2+3+4+5+6+7)=11. So, 32-11=21. The correct answer is 21.
Answer: A
A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
Choose the correct answer
A) 16 2/8%	B) 16 8/3%	C) 86 2/3%	D) 16 5/3%	E) 16 2/3%

Solution: Let the pricipal be Rs. x, then amount = 3x(where R = rate of interest)   => Interest   = 3x - x   = Rs. 2x   R = (100 * 2x)/(x * 12)   = 50/3 %   = 16 2/3%   Answer:16 2/3%
Answer: E
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?  Choose the correct choice from the following options:
A) 2/15
B) 2/21
C) 5/26
D) 3/29
E) 4/27

Solution: P(Both are red),   =65/262135/262=65/262135/262   =5/26   5/26
Answer: C
If |5x-15| = 100, then find the sum of the values of x?
Choose the correct choice from the following options.
A) 1	B) -2	C) 6	D) -3	E) 4

Solution: |5x-15| = 100   5x-15 = 100 or 5x-15 = -100   5x = 115 or 5x = -85   x = 23 or x = -17   sum = 23-17= 
23-17 = 6
6   Answer is 6
Answer: C
The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations E could be chosen from this menu?
Select the correct option
A) 10 B) 20 C) 40 D) 80 E) 100

Solution: E=4401 * 5402   = 4 * (5*4*3!)/(3!2!)   = 4 * 10= 
4 * 10 = 40
40   Answer - 40
Answer: C
The difference between the simple interest on a certain sum at the rate of 10%per annum for 2 years and compound interest which is compounded every 6 months is Rs.124.05. what is the principal sum Pick one
A) 124.05  B) 124.09  C) 124.04  D) 124.06  E) 124.02

Solution: Explanation:   Compound Interest on P at 10% for 2 years when interest is compounded half-yearly   =   Simple Interest on P at 10% for 2 years =   Given that difference between compound interest and simple interest = 124.05   124.05nswer:124.05
Answer: A
If 15 students in a class average 73% on an exam and 10 students average 88% on the same exam, what is the average in percent for all 25 students?	Choose the most appropriate option:
A) 77%	B) 78%	C) 79%	D) 80%	E) 81%

Solution: (15*73 + 10*88) / 25= 
(15*73 + 10*88) / 25 = 79
79%   The answer is 79%.
Answer: C
Which of the following inequalities has a solution set, when graphed on the number line, is a single line segment of finite length?  Choose the correct choice from the following options:	A) 2 <= 3x+4 <= 6	B) 3 <= 3x+4 <= 6	C) 5 <= 3x+4 <= 6	D) 5 <= 3x+4 <= 6	E) 4 <= 3x+4 <= 6

Solution: The key words in the stem are:a singleline segment offinite length   Now, answer choices A, B, and C can not be correct answers as solutions sets for these exponential functions are not limited at all (>= for even powers and <= for odd power) and thus can not be finite (x can go to + or -infinity for A and C and x can got to -infinity for B). As for D: we have thatabsolute valueof x is between two positive values, thus the solution set for x (because of absolute value) will be two line segments which will be mirror images of each other.   2 <= 3x+4 <= 6nswer: 2 <= 3x+4 <= 6.
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?  Choose the correct option
A) 85 m
B) 70 m
C) 115 m
D) 50 m
E) 150 m

Solution: Speed = 60 * 5/18 = 50/3 m/sec   Length of the train = speed * time = 50/3 * 3= 
50/3 * 3 = 50
50 m   Answer: 50 m
Answer: D
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 25 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?	Pick one
A) 457 km  B) 444 km  C) 552 km  D) 645 km  E) 453 km

Solution: 1h ----- 5   ? ------ 60   12 h   RS = 25 + 21= 
25 + 21 = 46
46   T= 12   D = 46 * 12= 
46 * 12 = 552
552   Answer:552 km
Answer: C
A collection of books went on sale, and 2/3 of them were sold for $2.25 each. If none of the 40 remaining books were sold, what was the total amount received for the books that were sold?  Options
A) $160 B) $150 C) $280 D) $200 E) $180

Solution: If 40 books constitute 1/3rd of the total, then 2/3rd of the total = 80 books   Amount received for sold books = 80 * 2.25= 
80 * 2.25 = 180
$180   Answer :$180
Answer: E
By selling 32 mangoes in a dollar, a man loses 40%. How many mangoes must he sell in a dollar to gain 20% profit?
Choices: A) 16 B) 18 C) 20 D) 25 E) 28

Solution: This is a question that is much easier than it first appears. If you work with the percents directly, you can solve it very quickly. If the man sells 32 mangoes for a dollar, he loses 40%. That means he is at 60% of his cost (100% - 40% = 60%). We are trying to figure out how many mangoes he has to sell in order to make a 20% profit, or be at 120% (100% + 20% = 120%). 120% is double 60%, meaning that we simply cut the number of mangoes in half to double our returns (from 60% to 120%), yielding  32/2= 
 32/2 = 16
16 mangoes, or answer choice 16.
Answer: A
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?	Pick: A) 17 sec B) 12 sec C) 16 sec D) 15 sec E) 18 sec

Solution: Speed of the first train = 120/10= 
120/10 = 12
12 m/sec.   Speed of the second train= 120/5 = 8 m/sec.   Relative speed = 12 + 8= 
12 + 8 = 20
20 m/sec.   Required time= (120 + 120)/20= 
(120 + 120)/20 = 12
12 sec.   Answer:12 sec
Answer: B
Calculate the average mark scored by Belinda if she had the following scores in an examination: 86, 50, 60, 67 and 79 marks (out of 100) in English Language, Spanish Language, Social Studies, Fine Art, and Physical Education respectively? Select the correct option:
A) 69.4 B) 68.4 C) 65.4 D) 63.4 E) 64.4

Solution: Explanation:   Average mark = 86+50+60+67+79/5=68.4   Answer: Option 68.4
Answer: B
How many multiples of 10 are there between 81 and 358?
Choices:
A) 24	B) 25	C) 26	D) 27	E) 28

Solution: 10 * 9= 
10 * 9 = 90
90   10 * 35= 
10 * 35 = 350
350   Total no of multiples= (35 - 9) + 1= 
(35 - 9) + 1 = 27
27   Answer 27
Answer: D
7^6n -1^ 6n When n is an integer > 0 is divisible by
Select:
A) 120	B) 127	C) 143	D) 164	E) 190

Solution: 127   127
Answer: B
Find the middle one when The sum of three consecutive even numbers is 162?  Select.
A) 51 B) 50 C) 58 D) 54 E) 56

Solution: 3 consecutive numbers can be a - 1, a, a + 1   So sum of numbers = 3a = 162.   Hence a = 54.   54
Answer: D
Mangala completes a piece of work in 30 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Choose the correct choice from the following
A) 8 days	B) 12 days	C) 14 days	D) 15 days	E) 18 days

Solution: If A can complete a work in x days and B can complete the same work in y days, then, both   of them together can complete the work in x y/ x+ y days.   That is, the required No. of days = 30 × 30/60 = 15 days   15 days
Answer: D
If a 5 percent deposit that has been paid toward the purchase of a certain product is $70, how much more remains to be paid?  Pick:
A) $1120
B) $1190
C) $1260
D) $1330
E) $1400

Solution: 95% remains to be paid so the remaining amount is 19*70= 
19*70 = 1_330
$1330.   The answer is $1330.
Answer: D
If a lemon and apple together costs Rs.12, tomato and a lemon cost Rs.4 and an apple costs Rs.8 more than a lemon. What is the cost of lemon?  Choices:
A) 8  B) 2  C) 3  D) 5  E) 0

Solution: L + A = 12 ...(1)   T + L = 4 .....(2)   L + 8 = A   Taking 1 and 3, we get A = 10 and L = 2   Answer:2
Answer: B