MU-NLPC/Calc-aqua_rat huggingface dataset:
Tim and Élan are 120 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?	Choose the correct choice: A) 30 miles. B) 35 miles. C) 45 miles. D) 60 miles. E) 80 miles.

Solution: Tim and Elan will meet at the same time while their ratio of speed is 2:1 respectively.So their individual distance traveled ratio will be same.   Plugging in the answer choice Only Answer Choice 80 miles. meet the 2:1(Tim:80 miles.lan=80:40) ratio of maintaining total distance traveled 120 miles   So Correct answer 80 miles.
Answer: E
The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 34∘, the temperature of Friday was :	Answers.
A) 42∘  B) 39∘  C) 38∘  D) 30∘  E) None of these

Solution: Explanation:   M+T+W+Th=(4×38)=152   Monday temperature is 34. So T+W+Th=(152-34)= 
(152-34) = 118
118   T+W+Th+F=(4×40)=160   F = (160-118)= 
(160-118) = 42
42∘   Correct Option: 42∘
Answer: A
Out of 17 applicants, there are 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
Choose one:
A) 25/34	B) 19/34	C) 21/34	D) 27/34	E) 37/34

Solution: The events of selection of two person is redefined as (i) first is a girl AND second is a boy OR (ii) first is boy AND second is a girl OR (iii) first is a girl and second is a girl.   So the required probability:   = (8/17 x 9/16) + (9/17 x 8/16) + (9/17 x 8/16)   = 9/34 + 9/34 + 9/34   = 27/34.   ANSWER:27/34
Answer: D
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?	Choose the correct choice from the following answers:
A) 198  B) 268  C) 267  D) 860  E) 727

Solution: CP = SP + 1CP = SP - g   800 + x = 980 - 2x   3x = 180 => x = 60   CP = 800 + 60= 
800 + 60 = 860
860   Answer: 860
Answer: D
At what price must an article costing Rs.95 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choose the correct choice from the following:
A) 130  B) 125  C) 145  D) 135  E) 144

Solution: CP = 95   SP = 47.50*(125/100) = 118.125   MP*(95/100) = 118.125   MP = 125   Answer:125
Answer: B
A tank of 425 litres capacity has been filled with water through two pipes, the
first pipe having been opened five hours longer than the second. If the first pipe
were open as long as the second, and the second pipe was open as long as the
first pipe was open, then the first pipe would deliver half the amount of water
delivered by the second pipe; if the two pipes were open simultaneously, the
tank would be filled up in 17 hours. How long was the second pipe open?  Choose the correct option
A) 13  B) 14  C) 15  D) 16  E) 17

Solution: Let the 1st and 2nd pipe be x and y respectively   and time = z hours   A/Q   y=2x (since first pipe would deliver half the amount of water   delivered by the second pipe)   (x+y)*17 =425   x+y =25   putting the value of y then we get   3x=25   x=25/3 and y =50/3   (z+5)25/3 + z(50/3) =425   from you can find z which = 15.3 so ans is 15   ANSWER:15
Answer: C
If x > y and y > z, which of the following represents the greatest number T?  Choose the correct choice from the following options:
A) x − z
B) x − y
C) y − x
D) z − y
E) z − x

Solution: Because x>y>z   thus T=x- z wil lbe greatest   x − zns: x − z
Answer: A
A, B, C, D, E are the five electronic shops in the Naza market, which have 20, 30, 60, 80 and 50 T. V . sets with them respectively, then the average number of T. V. sets in each shop is  Choose the correct answer.
A) 24  B) 48  C) 50  D) 60  E) None

Solution: Answer   Average number of T. V. sets   = ( 20 + 30 + 60 + 80 + 50 ) / 5= 
( 20 + 30 + 60 + 80 + 50 ) / 5 = 48
48   Correct Option: 48
Answer: B
The cost of 3 pens and 5 pencils is Rs.240. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens? Choose the correct choice.
A) Rs.200
B) Rs.720
C) Rs.300
D) Rs.150
E) None of these

Solution: Explanation:   Let the cost of one pen is ‘5x’ and pencil is ‘x’   3 X 5x + 5x = Rs.240   15x + 5x = Rs.240   X = 240/20= 
240/20 = 12
12   :. Cost of 1 pen= 5x = 5 x 12 = 60   :. Cost of 12 pens, i.e. (one dozen) = 60 x 12 = Rs.720   Answer: Option Rs.720
Answer: B
what is the minimum value of f(x) where
f(x)=(logax+logbx+logcx) and a>b>c>1..	Answers:  A) 3  B) 2  C) 1  D) 4  E) 5

Solution: here a,b,c are base for log..they aren't multiplied with x.   so logax=logex/logea;   f(x)= (logx/loga + logx/logb+ logx/logc);   = logx * (1/loga + 1/logb + 1/logc);   for minimum value of f(x) log values must me max 1   =1*3= 
1*3 = 3
3   3NSWER:3
Answer: A
Suppose you have access to a large vat of distilled water, several gallons large. You have two precise measuring pipettes, one to measure exactly 1/6 of an ounce and one to measure exactly 1/7 of an ounce. You can pour precisely measured amounts into a beaker, which initially is empty. You can use either pipette to remove distilled water from the vat or from the beaker and use either pipette to dispense water into either of those receptacles, but you cannot use either pipette to take any quantity of distilled water other than the amount for which it is designed. Which of the following represents, in ounces, a precise amount of distilled water you can transfer from the vat to the beaker?
I. 1/6
II. 1/7
III. 1/12	Choose the correct choice:
A) I only
B) III only
C) I and III only
D) 1/42 and 13/42
E) I, II, and III

Solution: Looking at the potential answer choices, 1/7 is immediately out as 7 is a prime that cannot be created from either 4 or 3.   1/6-1/7=1/42   1/6+1/7=13/42   Answer:1/42 and 13/42
Answer: D
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 50%, what should be the sale price of the mixed tea?  Answers.
A) 23.75 B) 22 C) 20 D) 19.2 E) None of these

Solution: C.P. of mixture = 80×15+20×20 /80+20=16   ∴ S.P. = (100+50)/100×16=24   Answer None of these
Answer: E
Mala had a stock of 1200 balls in his bookshop. He sold 50 on Monday, 100 on Tuesday, 120 on Wednesday, 150 on Thursday and 200 on Friday. What percentage of the balls were not sold? Choose the most appropriate option
A) 26.3%
B) 42.5%
C) 38.6%
D) 48.3%
E) 52.8%

Solution: Let N be the total number of balls sold. Hence   N = 50+ 100 + 120 + 150 + 200= 
50+ 100 + 120 + 150 + 200 = 620
620   Let M be the balls NOT sold   M= 1200 - N = 1200 - 620= 
1200 - 620 = 580
580   Percentage   Balls not sold / total number of balls= 580/1200 = 0.483 =48.3%   correct answer 48.3%
Answer: D
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?  Choose one.
A) 3627  B) 3622  C) 3600  D) 3618  E) 3620

Solution: P = 144(100/5)2   => P = 3600   Answer: 3600
Answer: C
Find the highest common factor of 36 and 84? Choose the correct choice from the following options
A) 4  B) 6  C) 12  D) 18  E) None of these

Solution: 36=2^2*3^2; 84=2^2*3*7   H.C.F=2^2*3=12.   12orrect Option: 12
Answer: C
There are 9 balls in a jar: 3 red, 2 blue and 4 green. If a single ball is drawn from the jar, what is the probability of that it is either blue or red?
Choose the correct choice from the following options:
A) 1/12 B) 1/4 C) 5/9 D) 2/3 E) 3/4

Solution: Blue + Red =5   Total number of balls is  3+2+4= 
 3+2+4 = 9
9   So the answer is 5/19=5/9   Answer 5/9
Answer: C
A painting is painted on a cardboard 19 cm and 14 cm wide, such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Choose the correct answer:
A) 70 cm²	B) 80 cm²	C) 90 cm²	D) 95 cm²	E) 98 cm²

Solution: Length of the cardboard = 19 cm   Breadth of the cardboard = 14 cm   Area of the cardboard = 19 × 14 cm² = 266 cm²   Length of the painting excluding the margin = [19 - (1.5 + 1.5)= 
19 - (1.5 + 1.5) = 16
16 cm   Breadth of the painting excluding the margin= 14 - (1.5 + 1.5)= 
14 - (1.5 + 1.5) = 11
11 cm   Area of the painting excluding the margin= (16 × 11) cm² = 176 cm²   Therefore, area of the margin = (266 - 176)= 
(266 - 176) = 90
90 cm²   ANSWER : 90 cm²
Answer: C
What is the measure of the angle Q made by the diagonals of the any adjacent sides of a cube.  Choose the correct choice.
A) 30
B) 45
C) 60
D) 75
E) 90

Solution: C.. 60 degrees   All the diagonals are equal. If we take 3 touching sides and connect their diagonals, we form an equilateral Triangle. Therefore, each angle would be Q=60.60
Answer: C
A set consist of 2n-1 element. What is the number of subsets of this set which contain at most n-1 elements?	Choices
A) 2^(2n-2)	B) 2^(2n) - 2	C) 2^(2n) -1	D) 2^(2n)	E) 2^(2n-1)

Solution: I took n=2 so total terms becomes 2n-1 = 3 and at most you can take n-1 = 1 term.   so the ans should be 3, but if you put n=2 in all the equations you wont get the ans. That means they have considered empty set as well, thus the total number of subsets with at most one is a1,a2,a3,0   so ans is 4.   put n=2 in all the equations , you will get 2^(2n-2)=4 hence 2^(2n-2).
Answer: A
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?  Choose the correct choice from the following.
A) 1.7	B) 1.4	C) 1.1	D) 1.5	E) 1.9

Solution: M = 4.5   S = x   1.5S = 4.5 + x   US = 4.5 + x   4.5 + x = (4.5 - x)2   4.5 + x = 9 -2x   3x = 4.5   x = 1.5   Answer:1.5
Answer: D
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?  Choose the correct choice from the following choices:
A) 1 kmph	B) 4 kmph	C) 8 kmph	D) 5 kmph	E) 9 kmph

Solution: DS = 6   US = 4   S = ?   S = (6 - 4)/2= 
(6 - 4)/2 = 1
1 kmph   1 kmphnswer: 1 kmph
Answer: A
A customer pays 40 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker? Pick one.
A) A)$50 B) B)$60 C) C)$70 D) D)$80 E) E)$90

Solution: Let x be the original price.   x - 20 = 40   x - 20 + 20 = 40 + 20   x + 0 = 60   x = 60   correct answer is $60)$60
Answer: B
What is the smallest integer c for which 27^c> 3^24?  Choose the correct option
A) 7  B) 8  C) 9  D) 10  E) 12

Solution: 27^c> 3^24   9onverting into the same bases:   27^c> 27^8   Therefore for the equation to hold true, c > 8 or c= 9   Option 9
Answer: C
Each of the 42 points is placed either inside or on the surface of a perfect sphere. If 65% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?	Choose the correct option.
A) 7 B) 11 C) 13 D) 23 E) 38

Solution: Maximum number of points on the surface is 65%*42 = 27.3 ... or 27 since it has to be an integer   Now note that if two points form a diameter, they cannot be part of any other diameter.   So in the best case we can pair up the points   We have 27 points, so at best we can form 13 pairs (26).   So, answer is (13)
Answer: C
In how many different ways can 4 physics, 2 math, and 2 chemistry books be arranged in a row so that all books of the same subject are together?	Choose the correct choice from the following answers:
A) 378
B) 432
C) 456
D) 524
E) 576

Solution: Let's think of each subject as a group so there are 3 groups.   The number of ways to arrange these 3 groups is 3!   Within each subject the books can be re-arranged.   So we need to multiply 3! by 4!*2!*2! which is 3!*4!*2!*2! = 576   The answer is 576.
Answer: E
Even after reducing the marked price of a transistor by Rs. 32, a shopkeeper makes a profit of 15%. If the cost price be Rs.320, what percentage of profit would he have made if he had sold the transistor at the marked price?
Select:
A) 18 %
B) 20 %
C) 25 %
D) 30 %
E) None

Solution: Sol.   C.P. = Rs. 320, Profit = 15%   S.P. Rs. [115/100 * 320] = Rs. 368. Marked price = Rs. (368 + 32) = Rs. 400.   ∴ Required profit% = [80/320 * 100= 
80/320 * 100 = 25
25%.   Answer 25 %
Answer: C
A ball is bought for Rs.400 and sold at a gain of 40% find its selling price?  Choose the correct choice from the following:
A) A)Rs.560/- B) B)Rs.490/- C) C)Rs.500/- D) D)Rs.520/- E) E)Rs.540/-

Solution: 100 % ------> 400 (100 * 4 = 400)   140 % ------> 560 (140 * 4 = 560)   Selling price = Rs.560/-   Rs.560/-
Answer: A
The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 24 minutes is:
Choose the most appropriate option: A) 9 B) 5 C) 7 D) 6 E) 10

Solution: Explanation:   Speed downstream = (20+5)= 
(20+5) = 25
25 kmph   Distance travelled= (25*(24/60))= 
(25*(24/60)) = 10
10 km.   ANSW10R:10
Answer: E
Average monthly income of a family of 4 earning members was Rs. 840. One of the earning members died and therefore, the average income came down to Rs 650. The income of the deceased was?
Choose the correct answer
A) Rs. 692.80 B) Rs. 820 C) Rs. 990 D) Rs. 1410 E) None

Solution: Answer   Income of the deceased = Total income of 4 members - total income of remaining 3 members.   = 840 x 4 - 650 x 3 Rs.   = 1410 Rs.   Correct Option: Rs. 1410
Answer: D
The G.C.D of 1.08, 0.36 and 0.9 is  Pick:
A) 0.19
B) 0.1
C) 0.18
D) 0.11
E) 0.12

Solution: Explanation:   Given numbers are 1.08 , 0.36 and 0.90   H.0.18.F of 108, 36 and 90 is 18 [ \inline \fn_jvn \because G.0.18.D is nothing but H.0.18.F]   \inline \fn_jvn \therefore H.0.18.F of given numbers = 0.18   Answer: 0.18) 0.18
Answer: C
Express of the following as a fraction: 4%
Choose the correct choice from the following choices
A) 2/25	B) 1/25	C) 4/25	D) 7/25	E) None of them

Solution: 4% =4/100 =1/25.   Answer is 1/25.
Answer: B
A 40-liter solution of alcohol and water is 5 percent alcohol. If 3.5 liters of alcohol and 6.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Pick one:
A) 8%	B) 11%	C) 14%	D) 17%	E) 20%

Solution: The percent of alcohol in the solution is (0.05(40) + 3.5) / 50 = 5.5/50 = 11%   The answer is 11%.
Answer: B
The rate of Interest on a sum of money is 3% p.a. for the first 3 years, 4% p.a. for the next 4 years, and 5% for the period beyond 7 years. If the S.I, Occurred on the sum for the total period of 8 years is Rs. 540/-, the sum is	Choices.
A) 1,200
B) 1,800
C) 2,100
D) 2,250
E) 2,540

Solution: Explanation:   I1 = (P x 3 x 3)/100 = P/11   I2 = (P x 4 x 4)/100 = 4P/25   I3 = (P x 1 x 5)/100 = P/20   P/11+ 4P/25 + P/20 = 540   30P/100 = 540   P = 1800   Answer: Option 1,800
Answer: B
If 7 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes Pick:
A) 21	B) 42	C) 43	D) 44	E) 45

Solution: n(n-1)/2 =7*6/2= 
7*6/2 = 21
21   21NSWER:21
Answer: A
A freight elevator can carry a maximum load of 1150 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?  Choose the correct choice:
A) 42	B) 85	C) 190	D) 215	E) 210

Solution: The average of existing 2 package is150 + 280/2 = 430/2= 
430/2 = 215
215   Remaining allowed weight= 1150 - 200 - 430= 
1150 - 200 - 430 = 520
520.   allowed per package= 520 / 3 = 173   So difference in average of existing and allowable = 215 - 173= 
215 - 173 = 42
42   Hence 42
Answer: A
A is twice as good a work man as B and together they finish the work in 8 days. In how many days A alone can finish the work?
Choices:
A) 23
B) 12
C) 77
D) 92
E) 61

Solution: WC = 2:1   2x + x = 1/8 => x = 1/24   2x = 1/12   A can do the work in 12 days.   Answer: 12
Answer: B
In a garden, there are five blue flowers, five red flowers, five green flowers, and five pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
Select
A) 11/10	B) 6/55	C) 31/10	D) 3/55	E) 1/16

Solution: P(all the same color) = P(1st flower is ANY colorAND2nd flower is same as firstAND3rd flower is also the same color)   = P(1st flower is ANY color)xP(2nd flower is same as 1st)ANDP(3rd flower is the same color)   = 1x4/11x3/10   = 6/55   Answer: 6/55
Answer: B
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 120? Choose the correct option
A) 3
B) 14
C) 32
D) 30
E) 70

Solution: Greatest common factor n and 16 is 4 = 2*2 * 2*2   Greatest common factor n and 45 is 3 = 3*3 *5   Greatest common factor n and 120 is = 2*3*5= 
2*3*5 = 30
30   Answer: 30.
Answer: D
JERRY has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If JERRY needs to pay exactly $128, what is the least number of bills he will need to use?
Choose the correct answer:
A) 16 B) 35 C) 46 D) 577 E) 576

Solution: 128 is the total sum of money.   as we have 13 10 dollar bills so the closest we can get to 128 using the 10 dollar bills is by using 12 * 10 dollar bils   128-120= 
128-120 = 8
8   so now we need to get 8 from either 5 dollar bills or 1 dollar bills   8 - 5 (use only 1 5 dollar bill)= 3   so we can get 3 from using 3 $1 bills.   Hence 16 ( 12+1+3 )   16NSWER IS 16
Answer: A
What percent of 7.2 kg is 18 gms ?  Pick one:
A) 25	B) 66	C) 288	D) 19	E) 17

Solution: Explanation:   Required percentage = (18/7200 * 100)% = 1/4= 
1/4 = 1/4 = around 0.25
0.25%   25nswer: 25) .25%
Answer: A
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.30 m space around the room. A side of square tile is given to be 20 cms? Choose the correct choice from the following answers.
A) 187  B) 714  C) 268  D) 208  E) 276

Solution: Area of the room =3.4 * 8.4= 
3.4 * 8.4 = 28.56
28.56   Area of the tile= 0.2 *0.2= 
0.2 *0.2 = 0.04
0.04   No. of tiles= 28.56/0.04= 
28.56/0.04 = 714
714   Answer : 714
Answer: B
In the graph below, no axes or origin is shown. If point B's coordinates are (10,5), which of the following coordinates would most likely be A's?	Choose the correct choice from the following answers
A) (17, -2) B) (10, 6) C) (6, 8) D) (-10, 3) E) (-2, -17)

Solution: wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 10.   (-2, -17) rules..
Answer: E
Sobha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Pick.
A) 4 B) 6 C) 8 D) 10 E) 2

Solution: Age of Sobha's father when Sobha was born =38   Age of Sobha's mother when Sobha was born =36−4=32   Required difference of age =38−32=6   Answer is 6.
Answer: B
Calculate the distance covered by 200 revolutions of a wheel of radius 21 cm.	Choices: A) 1164 m B) 664 m C) 364 m D) 164 m E) 264 m

Solution: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.   = 200 * 2 * 22/7 * 21= 
200 * 2 * 22/7 * 21 = 26_400
26400 cm= 264 m   ANSW264 mR:264 m
Answer: E
Find large number from below question The difference of two numbers is 1311. On dividing the larger number by the smaller, we get 11 as quotient and the 11 as remainder Choose the correct choice
A) 1209  B) 1324  C) 1441  D) 1300  E) 1635

Solution: Let the smaller number be x. Then larger number = (x + 1311).   x + 1311 = 11x + 11   10x = 1300   x = 130   Large number = 130+1311= 
130+1311 = 1_441
1441   Answer : 1441
Answer: C
If a*b*c=65, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ?	Choose the correct choice from the following answers:
A) 1/2
B) 1/4
C) 3/4
D) 2/3
E) None of these

Solution: Explanation :   aâˆ—bâˆ—c/bâˆ—câˆ—d= 65/65 => a/d = 1   dâˆ—eâˆ—f/câˆ—dâˆ—e= 250/1000 => f/c = 1/4   a/d* f/c = 1 * 1/4 = 1/4   Answer : 1/4
Answer: B
The average mark of the students of a class in a particular exam is 80. If 8 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.	Options:
A) 15  B) 25  C) 35  D) 45  E) 56

Solution: Let the number of students who wrote the exam be x.   Total marks of students = 80 x.   Total marks of (x - 8) students = 90(x - 8)   80x - (8 * 20) = 90(x - 8)   560 = 10x => x = 56   ANSW56R:56
Answer: E
The price of rice falls by 25%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously? Pick.
A) 5 kg B) 15 kg C) 26.67 kg D) 30 kg E) None

Solution: Solution: Let Rs. 100 be spend on rice initially for 20 kg.   As the price falls by 20%, new price for 20 kg rice,   = (100 -25% of 100) = 75   New price of rice = 75/20 = Rs. 3.75 per kg.   Rice can bought now at = 100/3.75 = 26.67 kg.   Answer: Option 26.67 kg
Answer: C
A boat can move upstream at 46 kmph and downstream at 64 kmph, then the speed of the current is?
Choose the correct answer
A) 5	B) 6	C) 9	D) 4	E) 2

Solution: US = 46   DS = 64   M = (64 - 46)/2= 
(64 - 46)/2 = 9
9 Answer:9
Answer: C
49 Ã— 49 Ã— 49 = 7^?  Choose one: A) 4 B) 7 C) 8 D) 6 E) None of these

Solution: 49 Ã— 49 Ã— 49 = 7?   or, 7(2) Ã— 7(2) Ã— 7(2) = 7?   or 7(6) = 7? or, ? = 6   Answer 6
Answer: D
In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is: Choices:	A) 22	B) 389	C) 38	D) 45	E) 01

Solution: Let there be x voters and k votes goes to loser then   0.8x - 120 = k + (k + 200)   k+200 = 0.41x   \inline \Rightarrow k = 1440   and (k + 200) =1640   Therefore \inline \frac{1440}{3200}\times 100 = 45%   Answer: 45) 45%
Answer: D
Lloyd normally works 7.5 hours per day and earns $4.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 2.0 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?  Choose the correct choice from the following answers:	A) $33.75	B) $47.25	C) $60.75	D) $54.00	E) $70.00

Solution: Daily working hour*Regular Rate + Overtime*Increased Rate     7.5*4.5+ 3*4.5*2.0= 
  7.5*4.5+ 3*4.5*2.0 = 60.75
60.75   Answer $60.75
Answer: C
A cylindrical cube of radius 12 cm contains water upto a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. The radius of the ball is : Pick.
A) 7 cm  B) 8.5 cm  C) 9 cm  D) 9.5 cm  E) None

Solution: Sol.   Let the radius of the ball be r cm.   Volume of ball = Volume of water displaced by it.   ∴ 4/3 ∏r³ = ∏ * 12 * 12 * 6.75   ⇒ r³ = 9 * 9 * 9 ⇒ r = 9 cm.   Answer 9 cm
Answer: C
9 examiners can examine a certain number of answer books in 12 days by working 5 hours a day. How many hours in a day should 4 examiners work to examine twice the number of answer books in 30 days?	Choose the correct choice from the following options:
A) 9  B) 10  C) 11  D) 12  E) 15

Solution: Explanation:   Let required number of hours be x   More examiners, less hours (indirect proportion)   More days, less hours (indirect proportion)   More answer books, more hours (direct proportion)   Hence we can write as   (examiners) 9:4   (days) 12:30   (answer books) 2:1 }::x:5   ⇒9×12×2×5=4×30×1×x   ⇒x=9×12×2×5/4×30×1   =9×3×2×5/30   =9×2×5/10   =9   9nswer: Option 9
Answer: A
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? Choose the correct choice from the following options:
A) 5 min
B) 2 min
C) 6 min
D) 10 min
E) 3 min

Solution: Explanation:   Due to stoppages, it covers 9 km less.   Time taken to cover 9 km =(9/24*60)=10 min   ANSWER:10 min
Answer: D