MU-NLPC/Calc-aqua_rat huggingface dataset:
A person can row at 9 kmph and still water. He takes 6 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph? Choices:	A) 32	B) 28	C) 29	D) 54	E) 20

Solution: Let the distance between A and B be x km.   Total time = x/(9 + 1) + x/(9 - 1) = 6.5   => x/10 + x/8 = 13/2 => (4x + 5x)/40 = 13/2 => x   = 29 km.   Answer:29
Answer: C
Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 40 square meters. What is the area that is covered with three layers of wallpaper?
Choose the correct choice:
A) 5 Square Meters	B) 36 Square Meters	C) 40 Square Meters	D) 83.3 Square Meters	E) 120 Square Meters

Solution: 300 - 180= 
300 - 180 = 120
120 sq m of the wallpaper overlaps (in either two layers or three layers)   If 36 sq m has two layers, 120 - 40= 80 sq m of the wallpaper overlaps in three layers. 80 sq m makes two extra layers hence the area over which it makes two extra layers is 40 sq m.   Answer (40 Square Meters).
Answer: C
How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?  Choose the correct option
A) 50 sec  B) 45 sec  C) 55 sec  D) 65 sec  E) 51 sec

Solution: 55 sec   55 sec   T = (660 + 165)/54 * 18/5= 
(660 + 165)/54 * 18/5 = 55
55
Answer: C
If a = b*c, -1 < c < 0 and 8 < b, which of the following is correct? Choose the correct option
A) a > 7. B) 0 < a <8. C) 8 < a < 0 D) a < -14 E) a < -7

Solution: b is +ve & c is -ve   Eliminate A ,B&C   For min. value max. numerator and minimize denominator   take b=8.1 & c=-0.9   a=8.1*-0.9   a<-7   Ans a < -7
Answer: E
In a factory, there are 50% technicians and 50% non-technicians. If the 50% of the technicians and 50% of non-technicians are permanent employees, then the percentage of workers who are temporary is?  Choose the correct choice from the following.
A) 50%  B) 57%  C) 52%  D) 22%  E) 42%

Solution: Total = 100   T= 50 NT= 50   50*(50/100)= 
50*(50/100) = 25
25 50*(50/100)=25   25 + 25= 
25 + 25 = 50
50=> 100 - 50= 
100 - 50 = 50
50%   50%nswer:50%
Answer: A
In how many ways can 3 men and 3 women be seated around a round table if each women is to be between 2 men.  Choose the correct choice from the following answers
A) 12 B) 14 C) 16 D) 18 E) 20

Solution: 1-2-3-4-5-6-1 (assume this to be a closed circle)   Lets assume the position of the first man to be "fixed" at 1, then there are two remaining positions for the remaining two men: 3rd and 5th seat.   Number of ways of seating a man in 3rd seat = 2   As only one man is left, number of ways of seating a man in 5th seat is 1.   Number of ways that three men can be seated first at the round table = 1*2*1= 
1*2*1 = 2
2   There are three remaining seats 2,4, and 6.   Number of options for 2= 3   Number of options for 4 = 2 (only 2 women are left)   Number of options for 6 = 1 (only 1 woman left)   i.e. The three women can be seated in 3! ways = 6   Total number of possibilities = 2*6= 
2*6 = 12
12   12NS:12
Answer: A
If a man buys 1 liter of milk for 12 rs. and mixes it with 20% water and sells it for 15 rs then what is the %age of gain... Select the correct option: A) 30 B) 40 C) 50 D) 60 E) 70

Solution: Quantity after adding 20% water=1.2 liter   SP of 1.2 lit.@15 Rs./liter=15*1.2= 
15*1.2 = 18
18 Rs   CP=12 Rs/lit.   % profit=100*(18-12)/12= 
100*(18-12)/12 = 50
50   ANSWER:50
Answer: C
if 1/8 of a pencil is black 1/2 of the remaining is white and the remaining 7/2 is blue find the total length of the pencil?	Choose the correct choice from the following answers.
A) 7.33cm
B) 6.33cm
C) 5.33cm
D) 9.33cm
E) 8.33cm

Solution: (1/8)p + (1/2)p + (7/2)= p   on solving the above for p we get 9.333   Now checking for the answer:   9.333/8=1.166 cm   9.333/2=4.665 cm   now 1.166+4.665+(7/2) = 9.33cm   ANSWER:9.33cm
Answer: D
Given a spinner with four sections of equal size labeled W, B, C, and D, what is the probability of NOT getting an W after spinning the spinner two times?	Choose the correct choice from the following answers
A) 15/16	B) 9/16	C) 1/2	D) 1/4	E) 1/8

Solution: The probability of NOT getting an W after spinning the spinner two times is 3/4*3/4=9/16 (so getting any of the remaining 3 letters out of 4).   Answer: 9/16.
Answer: B
Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Select:
A) -33 B) 34 C) -34 D) 35 E) 33

Solution: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.   Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.   So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.   Solving this equation for d+ed+e gives d+e=−66d+e=−66.   Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.   Hence, the answer is -33: -33
Answer: A
In how many different ways can the letters of the word "BICYCLE" be rearrangement?
Choose the correct choice from the following choices.
A) 5040	B) 5045	C) 5140	D) 5010	E) 5020

Solution: Option '5040'   The total number of arrangements is   7P7 = 7! = 5040
Answer: A
71
a3
+1b
___
98
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?  Pick one:	A) 25	B) 54	C) 43	D) 45	E) 04

Solution: 1+3+b=8   b=4   7+a+1=8   a7+ +1= 
7+ +1 = 8
8   a=0   ab=04   ans=04
Answer: E
An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is  Choose the correct answer
A) 10:28 am B) 10:30 am C) 10:31 am D) None of above E) Cannot be determined

Solution: Explanation:   L.C.M. of 60 and 62 seconds is 1860 seconds     1860/60= 
  1860/60 = 31
31 minutes   They will beep together at 10:31 a.m.   Sometimes questions on red lights blinking comes in exam, which can be solved in the same way   Option 10:31 am
Answer: C
In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies? Choose the most appropriate option
A) 220 B) 175 C) 145 D) 200 E) 362

Solution: (3 men out 6) and (2 ladies out of 5) are to be chosen.   Required number of ways = (6c3x5c2)   = [6x5x4/3x2x1] x [5x4/2x1] = 200.   Ans: 200
Answer: D
Which of the following fractions can be written as the difference of reciprocals of two consecutive integers?
Choose the correct choice from the following options.
A) 1/100 B) 1/121 C) 1/45 D) 1/56 E) 3/72

Solution: =1/n - 1/(n+1)   =1/n(n+1)   Only answer choice that satisfies above equation is 1/56   1/7*8   ANSWER:1/56
Answer: D
Two dice are thrown together. What is the probability that the sum of the number on the two faces is divisible by 4?
Options:
A) 2/9
B) 1/9
C) 1/4
D) 1/3
E) 1/2

Solution: Clearly n(S) = 6 x 6 = 36   Let E be the event that the sum of the numbers on the two faces is divided by 4.   E= {(1,3), (2,2), (2,6), (3,1), (3,5), (4,4), (5,3), (6,2), (6,6)}   n(E) = 9   Hence, P(E) = n(E)/n(S) = 9/36 = 1/4   ANSWER:1/4
Answer: C
In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1.75, then the 3rd term is which of the following?	Choices:  A) −1.5  B) −1  C) 0  D) 0.5  E) 4

Solution: First = 1.75   Second = 2*1.75-1= 
2*1.75-1 = 2.5
2.5   Second= 2*2.5-1= 
2*2.5-1 = 4
4   Answer: option 4
Answer: E
The average of first five prime numbers greater than 20 is?
Pick:
A) 32.9
B) 32.7
C) 32.8
D) 32.2
E) 32.1

Solution: 23 + 29 + 31 + 37 + 41= 
23 + 29 + 31 + 37 + 41 = 161
161/5= 
161/5 = 161/5 = around 32.2
32.2   Answer:32.2
Answer: D
List I: 4, 6, 8, 10
List II: x, 4, 6, 8, 10  Options:
A) 7  B) 4  C) 3  D) 5  E) 2

Solution: List I has even number of terms, thus its median is the average of two middle terms (when arranged in ascending/descending order), so median=(6+8)/2= 
(6+8)/2 = 7
7.   List II has odd number of terms, thus its median is the middle term (when arranged in ascending/descending order). As no other number in the list equal to 7, then x=7.   7nswer: 7
Answer: A
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%? Choose the correct answer:
A) 228
B) 480
C) 267
D) 288
E) 276

Solution: SP = 800   Profit = 25%   CP = (SP)*[100/(100+P)]   = 800 * [100/125]   = 640   Loss 800 *  100/125= 
800 *  100/125 = 640
640   Loss= 25% = 25% of 640 = Rs.160   SP = CP - Loss = 640 - 160 = Rs.480   Answer: 480
Answer: B
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ? Options
A) 80000	B) 60000	C) 50000	D) 75000	E) 90000

Solution: Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 - x) respectively. Then,   =1/3 x = 1/2 (150000 - x)   =x/3 + x/2 = 75000   =5x/6 = 75000   =x = 75000 x 6 /5	= 90000   Savings in Public Provident Fund = Rs. (150000 - 90000) = Rs. 60000   Answer is 60000.
Answer: B
The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 6 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science? Answers:
A) 18 : 21 : 50
B) 3 : 10 : 10
C) 4 : 8 : 5
D) 32 : 35 : 25
E) None of these

Solution: Suppose the number of students studying Arts, Commerce and Science be 3x, 6x and 8x respectively.   When their numbers are increased by 20%, 40% and 25% respectively the new ratio becomes   3x × 120% : 6x × 140% :   8x × 125% = 36 : 84 : 100   = 18 : 21 : 50   18 : 21 : 50nswer 18 : 21 : 50
Answer: A
The spinner shown is divided into 6 sections of equal
size. What is the probability of landing on a section that
contains the letter P using this spinner?	Answers
A) 3/6  B) 4/6  C) 5/6  D) 2/6  E) 1/6

Solution: The spinner has 6 sections in total and 2 of these sections contain the letter P.   Sections are equal to one another in size and thus they are each equally likely to be landed on.   Therefore, the probability of landing on a section that contains the letter P is 2/6 .   correct answer 2/6
Answer: D
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?	Select
A) 6  B) 9  C) 3  D) 5  E) 2

Solution: x * 1 = 3 * 5/3= 
3 * 5/3 = 5
5   Answer:5
Answer: D
One out of every 500 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?  Choose the correct choice
A) 2,000  B) 5,000  C) 10,000  D) 50,000  E) 52,000

Solution: 20 broken glasses indicates that  10*10= 
 10*10 = 100
100 defected bulbs are present.   100 defected bulbs indicates that 100*500= 50,000 light bulbs are present.   50,000 is the answer
Answer: D
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.6 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Choices
A) a. 150	B) b. 300	C) c. 600	D) d. 1,200	E) e. 360

Solution: Volume Per Box: 15x12x10 = 1,800   Total Volume: 1,080,000   Number of Boxes: Total Volume / Volume Per Box = 1,080,000 / 1,800 = 600   Price Per Month: Number of Boxes * Price Per Box = 600 * 0.6= 
600 * 0.6 = 360
360   Answer: e. 360
Answer: E
The volume of the sphere QQ is (dfrac{37}{64}%)less than the volume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP? Choose the correct choice from the following choices
A) 35% B) 65% C) 75% D) 90% E) 100%

Solution: Let the volume of sphere PP be 64 parts.   Therefore volume of sphere QQ   =64−3764%=64−3764% of 6464   =64−37=27=64−37=27 parts.   The volume of RR   =27−1927×27=27−1927×27   =27−19=8=27−19=8 parts.   Volume ratio:   =P:Q:R=64:27:8=P:Q:R=64:27:8   Radius ratio:   =P:Q:R=4:3:2=P:Q:R=4:3:2   The surface area will be 16:9:516:9:5   Surface area of RR is less than the surface area of sphere PP   16k−4k=12k16k−4k=12k   Now,   =12k16k×100=12k16k×100   =75%=75%   Thus surface area of sphere RR is less than the surface area of sphere P by 75%   75%
Answer: C
One number will be chosen randomly from each of the sets below . If x represents the chosen member of Set X and y represents the chosen member of Set Y, what is the probability that x/yx/y will be an integer?
X = {9, 10, 11, 12}
Y = {2, 3, 4, 5}  Choose the correct option.
A) 1/16
B) 3/8
C) 1/2
D) 3/4
E) 15/16

Solution: (x, y), for which x/y = integer:   (9; 3)   (10; 2)   (10; 5)   (12; 2)   (12; 3)   (12; 4)   6 pairs out of   4*4= 
  4*4 = 16
16, so the probability is 6/16= 3/8.   Answer: 3/8.
Answer: B
A vessel of capacity 30 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Select the correct option:	A) 14.7	B) 2.9	C) 38.3	D) 78.3	E) 79.3

Solution: Explanation:   Let the initial quantity of milk in vessel be T litres.   Let us say y litres of the mixture is taken out and replaced by water for n times, alternatively.   Quantity of milk finally in the vessel is then given by [(T - y)/T]^n * T   For the given problem, T = 30, y = 9 and n = 2.   Hence, quantity of milk finally in the vessel   = [(30 - 9)/30]^2 (30) = 14.7 litres.   14.7nswer: Option 14.7
Answer: A
If a car had traveled 10 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 30 km, at what speed did it travel?  Select
A) 20 kmh	B) 25 kmh	C) 30 kmh	D) 35 kmh	E) 40 kmh

Solution: Time = Distance/Speed   Difference in time = 1/2 hrs   30/x - 30/(x + 10) = 1/2   Substitute the value of x from the options. --> x = 20 --> 30/20 - 30/30 = 3/2 - 1 = 1/2   20 kmhnswer: 20 kmh
Answer: A
If a = 1 and b = -2, then (2a^2 + b)(r + y) + (a + b)(r - y) =
Choose the correct choice
A) 0	B) 2x	C) y - r	D) x - y	E) x + y

Solution: Putting A=1 and B = -2 => 2A^2-B=0 ; so the first part of the term is zero   with second term => (1-2) *(r+y)=y-r => Smash y - r
Answer: C
A man's age is 125% of what it was 10 years ago, but 8313% of what it will be after 10 years. What is his present age?	Select
A) 30
B) 40
C) 50
D) 60
E) 70

Solution: Let the age before 10 years =x. Then,   125x100=x+10⇒125x=100x+1000⇒x=100025=40   Present age =x+10=40+10= 
40+10 = 50
50.   Answer is 50.
Answer: C
What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15	Choose the correct choice:
A) 3	B) 5	C) 6	D) 7	E) 8

Solution: Explanation:   On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted   3nswer: Option 3
Answer: A
If Reneesh earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased? Select the correct option
A) 1/4 B) 1/5 C) 7/100 D) 3/25 E) 1/20

Solution: Perhaps it is also easy to just translate the % into fractions:   6%: 6/100 = 3/50   7%: 7/100   8%: 8/100 = 4/50 =2/25   9%: 9/100   Only 7/100 exists in the answer choices, so ANS 7/100
Answer: C
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?  Choose the correct choice.
A) 4:9
B) 4:3
C) 4:6
D) 4:2
E) 4:1

Solution: Let us name the trains A and B.   Then, (A's speed) : (4:3's speed)   = √b : √a = √16 : √9 = 4:3   Answer: 4:3
Answer: B
In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 36° of the chart, how much of the Roberts’s $40,000 annual budget is dedicated to clothes and shoes?	Choose the most appropriate option:
A) $1,500  B) $3,000  C) $4,500  D) $4,000  E) $5,400

Solution: Given for clothes and shoes” takes up 36° of the circular chart.   Then clothes and shoes = 36/360 * 40000.= 
36/360 * 40000. = 4_000
> 4000.   IMO option $4,000 is correct answer...
Answer: D
Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajay’s income?	Choose the correct choice from the following choices: A) Rs.60000 B) Rs.80500 C) Rs.60700 D) Rs.70500 E) None of these

Solution: Explanation:   Savings = Income – expenditure   100 – (25+5+15+10) = 45%   45% of income = Rs.27000   :. Income = 27000 x 100/45 = Rs. 60000.   Rs.60000nswer: Option Rs.60000
Answer: A
A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . How many feet does the squirrel travels if the post is 18 feet tall and 3 feet in circumference?
Select.
A) 10 feet
B) 12 feet
C) 13 feet
D) 15 feet
E) 18 feet

Solution: total circuit=18/3= 
18/3 = 6
6   total feet squirrel travels=6*3= 
6*3 = 18
18 feet   ANSW18 feetR:18 feet
Answer: E
During the last four years, a large truck company purchased diesel at rates of $1.2, $1.4, $1.7 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year?
Choose the correct choice.
A) $2.5  B) $2.55  C) $1.53  D) $3.25  E) $3.0

Solution: finding the Harmonic mean here.   HM = 4/(1/12 + 1/14 + 1/17 + 1/21) = 15.31   The calculation is the same either way.   $1.53
Answer: C
Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6	Choose the correct choice from the following answers: A) 5/7 B) 3/4 C) 7/18 D) 5/17 E) 7/9

Solution: Clearly n(S)=6*6= 
6*6 = 36
36   Let E be the event that the sum of the numbers on the two faces is divided by 4 or 6.Then   E={(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(5,1),(5,3),(6,2),   (6,6)}   n(E)=14.   Hence p(e)=n(e)/n(s)=14/36=7/18   Ans: 7/18
Answer: C
A can do a work in 4 days. B can do the same work in 6days. Both A&B together will finish the work and they got $1000 from that work. Find their shares?  Choose the most appropriate option.
A) 600,400 B) 500,500 C) 300,700 D) 800,200 E) 550,450

Solution: Ratio of their works 600,400:B = 4:6   Ratio of their wages 600,400:B = 3:2   600,400's share = (3/5)1000 = 600   B's share = (2/5)1000 = 400   correct option is 600,400
Answer: A
Find the odd man out. 742, 743, 633, 853, 871, 990, 532  Options: A) 532 B) 742 C) 990 D) 633 E) 871

Solution: In all numbers except 742, the difference of third and first digit is the middle digit.   Answer is 742
Answer: B
A man sells a horse for Rs.800 and loss something, if he had sold it for Rs.820, his gain would have been trible the former loss. Find the cost price of the horse?
Pick.
A) 605  B) 905  C) 815  D) 805  E) 705

Solution: CP = SP + 1CP = SP - g   800 + x = 820 - 3x   4x = 20 => x = 5   CP = 800 + 5= 
800 + 5 = 805
805   Answer: 805
Answer: D
The average weight of 30 boys sitting in a bus had some value. A new person added to them whose weight was 40 kg only. Due to his arrival, the average weight of all the boys decreased by 2 kg. Find the average weight of first 30 boys?	Options.
A) 150	B) 122	C) 30	D) 120	E) 102

Solution: 30x + 40 = 31(x â€“ 2)   x = 102   102
Answer: E
Dacid obtained 96, 98, 99, 100 and 98 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?	Choices:
A) 79
B) 99
C) 88
D) 88
E) 98

Solution: Average = (96+98+ 99+100+98)/5   = 491/5 = 98.   Answer:98
Answer: E
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 64 hours respectively. The ratio of their speeds is  Choose the correct choice from the following answers.
A) 2 : 3  B) 5 : 9  C) 6 : 7  D) 8 : 11  E) None

Solution: Sol.   Let us name the trains as A and B. Then,   (A's speed) : (B's speed) = √b : √a   = √64 : √49   = 8 : 7.   Answer None
Answer: E
The speed of a car is 90 km in the first hour and 80 km in the second hour. What is the average speed of the car?
Options:
A) 12
B) 75
C) 85
D) 54
E) 15

Solution: S = (90 + 80)/2= 
(90 + 80)/2 = 85
85 kmph   Answer: 85
Answer: C
How many pieces of 85 cm length can be cut from a rod of 34 meters long?	Answers:
A) 50
B) 40
C) 30
D) 20
E) 10

Solution: Number of pieces = 3400/85= 
3400/85 = 40
40   The answer is 40.
Answer: B
Reema took a loan of Rs 800 with simple interest for as many years as the rate of interest. If she paid Rs. 632 as interest at the end of the loan period, what was the rate of interest.	Pick:	A) 8.62%	B) 8.88%	C) 8.32%	D) 8%	E) 9%

Solution: Explanation:   Let rate = R% then Time = R years.   =>800∗R∗R /100=632   =>R2=79   =>R=8.88%   Option 8.88%
Answer: B
In the youth summer village there are 175 people, 100 of them are not working,75 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Choose one.
A) 70
B) 75
C) 85
D) 80
E) 100

Solution: total =175   not working =100   having family=75   like to sing in shower = 125   working=175-100= 
175-100 = 75
75   not having family= 175-75= 
175-75 = 100
100   like to sing in shower= 100   largest possible number is the lowest possible among the above   Thus 75   75
Answer: B
By selling 18 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 35%?
Pick one.
A) 11
B) 13
C) 15
D) 18
E) 12

Solution: 90% --- 18135% --- ?90/135 * 18= 
90/135 * 18 = 12
12Answer: 12
Answer: E
If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain?	Pick one
A) 25%  B) 28%  C) 29%  D) 50%  E) 55%

Solution: cp=1*12= 
1*12 = 12
12   sp=1.2*15= 
1.2*15 = 18
18   gain=sp-cp=6   gain%=(6/12)*100= 
(6/12)*100 = 50
50%   ANSWER:50%
Answer: D
A gardener sells 100 metres of fencing for Rs. 7500 at a loss of Rs. 3 per metre. Find his cost price for one metre of fencing? Select
A) 54	B) 67	C) 62	D) 78	E) 72

Solution: SP per metre = 7500/100 = Rs. 75 Loss per metre = Rs. 3 CP per metre = 75 + 3= Rs. 78Answer: 78
Answer: D
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. What is the length of the garden?  Choose the correct answer
A) 30 m  B) 28 m  C) 26 m  D) 24 m  E) 22 m

Solution: Explanation :   Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length   Also, 1 meter is left from all sides of the boundary of the garden.   Hence, length of the garden = (11 × 2) + 1 + 1 = 24 meter   Answer :24 m
Answer: D
Find the area of a parallelogram with base 24 cm and height 16 cm?  Pick
A) 281	B) 284	C) 288	D) 255	E) 122

Solution: Area of a parallelogram = base * height   = 24 * 16= 
24 * 16 = 384
384 cm2   Answer: 284
Answer: B
If 45% of z is 39% of y and y is 75% of x, what percent of x is z?
Choices
A) 200 B) 160 C) 100 D) 65 E) 50

Solution: (45/100)z = (39/100)y   and y = (75/100)x i.e. y = (3/4)x   i.e. (45/100)z = (39/100)*(3/4)x   i.e. z = (39*3)x/(45*4)   i.e. z = (0.65)x = (65/100)x   i.e. z is 65% of x   Answer: Option 65
Answer: D