MU-NLPC/Calc-aqua_rat huggingface dataset:
A man buys a cycle for Rs.1400 and sells it at a loss of 15%. What is the selling price of the cycle?	Pick:	A) Rs.1090	B) Rs.1160	C) Rs.1190	D) Rs.1202	E) NONE

Solution: Solution   S.P	= 85% of Rs.1400   = Rs.(85/100×1400)   Rs.1190.   Answer Rs.1190
Answer: C
When 28 is divided by the positive integer e, the remainder is 1. What is the sum of all the possible values of e for which this is true?	Choose the correct choice from the following choices:  A) 2  B) 3  C) 9  D) 30  E) 39

Solution: The only possible values of the form 28=ep+1 are 3,9 or 27   The sum = 3+9+27= 
3+9+27 = 39
39. E is the correct answer. We dont need to look for values >28 as all these values will leave a remainder of 28 and not 1.
Answer: E
Two water pumps, working simultaneously at their respective constant rates, took exactly 8 hours to fill a swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?	Choose the correct choice from the following answers.
A) 28/3
B) 32/3
C) 35/3
D) 40/3
E) 44/3

Solution: Let the rate of the slow pump be x. Then the rate of the fast pump is 1.5x.   (x+1.5x) = 2.5x = 1/8 of the capacity of the whole pool per hour.   The rate of the fast pump is (1.5/2.5)*1/8 = 3/40 of the whole pool per hour.   The time it takes the faster pump to fill the pool would be 40/3 hours.   The answer is 40/3.
Answer: D
Select the correct combi nat ion of mathematical signs to replace * signs and to balance the given equation. 8 * 5 * 2 * 72 * 4  Select the correct option
A) = × + ÷ B) × = + ÷ C) + × = ÷ D) × + = ÷ E) + + = ÷

Solution: + × = ÷   8 + 5 × 2 = 72 ÷ 4   8 + 10= 
8 + 10 = 18
18   18= 18
Answer: C
The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle? Choose the correct choice from the following choices:
A) 22	B) 37	C) 87	D) 84	E) 82

Solution: Let inner radius be r metres. Then, 2   r = 440 ; r = = 70 m.   Radius of outer circle = (70 + 14)= 
(70 + 14) = 84
84 m.   Answer: 84
Answer: D
In what time will a train 100 meters long cross an electric pole, if its speed is 162 km/hr Select the correct option:
A) 8.5 seconds	B) 2.22 seconds	C) 3.5 seconds	D) 2.5 seconds	E) 2.6 seconds

Solution: First convert speed into m/sec   Speed = 162*(5/18)= 
162*(5/18) = 45
45 m/sec   Time= Distance/speed   = 100/45 = 2.22 seconds   Answer: 2.22 seconds
Answer: B
The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams T?
Options.
A) T=16 B) T=32 C) T=64 D) 128 E) 512

Solution: Weight directly proportional to 4 pi r^2   Now, 4pi is constant, so, weight is directly proportional to r^2.   When radius = 0.15, weight = 8, so (0.15) ^ 2 proportional to 8;   (0.15)^2 * 4 proportional to 8*4, solving further   (0.15)^2 * 2 ^2 = (0.15*2)^2 = 0.3 ^ 2; so answer = 32 (T=32)
Answer: B
A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 3% higher then what would the sum amount in the same time period?  Select the correct option.
A) Rs. 4465	B) Rs. 3683	C) Rs. 3596	D) Data inadequate	E) None of these

Solution: 3422=2900+(2900*R*3/100)   R=6   If R is 3 more.   Then R=9   Sum=2900+(2900*9*3/100)= 
2900+(2900*9*3/100) = 3_683
3683   ANSWER:Rs. 3683
Answer: B
What will be the cost of building a fence around a square plot with area equal to 289 square feet, if the price per foot of building the fence is Rs. 58? Choose one: A) 3944 B) 3932 C) 3929 D) 3926 E) 3902

Solution: Let the side of the square plot be a foot   a2 = 289 => a = 17   Length of the fence = Perimeter of the plot = 4a = 68 foot   Cost of building the fence = 68 * 58   = Rs.3944.   3944nswer:3944
Answer: A
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?  Answers:	A) 20%	B) 26%	C) 80%	D) 10%	E) 50%

Solution: SP2 = 2/3 SP1   CP = 100   SP2 = 80   2/3 SP1 = 80   SP1 = 120   100 --- 20 => 20%   20%nswer:20%
Answer: A
X is the largest prime number less than positive integer N. P is an integer such that P = X – 16. Also, Z = 1*2*…*P√P. If N is the first non-zero perfect square whose tens digit and units digit are same, How many different prime factors does Z have?  Choose the correct answer.
A) 4  B) 5  C) 6  D) 160  E) 320

Solution: If N is the first perfect square whose tens digit and units digit are same, then N=100.   X is the largest prime number less than positive integer N , then X is   97.   P is an integer such that P = X – 16.   So P=81   Z=(P^1/2)! = 9!   How many different prime factors does Z have?   4nswer 4 (2,3,5,7)   4NSWER:4
Answer: A
Magnabulk Corp sells boxes holding n magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?  Pick
A) 100bn/m B) 100m/bn C) bn/(100m) D) m/(bn) E) bn/m

Solution: We're given some facts to work with:   1) Magnabulk Corp sells boxes holding N magnets each.   2) The boxes are shipped in crates, each holding B boxes.   3) Magnabulk charges M DOLLARS for each crate   We're asked for the price charged per magnet, in CENTS....   IF....   N = 2   B = 3   M = 12   (2 magnets per crate)(3 crates) = 6 magnets   $12 for 6 magnets = $2 per magnet = 200 cents per magnet   So we're looking for an answer that equals 200 when N=2, B=3 and M=12.   There's only one answer that matches...
Answer: B
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :  Choose one:
A) 81  B) 82  C) 85  D) 90  E) 95

Solution: Since the numbers are co-prime, they contain only 1 as the common factor.   Also, the given two products have the middle number in common.   So, middle number = H.C.F of 551 and 1073 = 29;   First number = 551/29= 
551/29 = 19
19   Third number= 1073/29= 
1073/29 = 37
37.   Required sum= 19 + 29 + 37= 
19 + 29 + 37 = 85
85.   ANSWER:85
Answer: C
There is a equilateral triangle whose area is A. Another triangle is formed by joining the mid points. This process is continued. Find the sum of these areas.
Choose one:  A) 43A  B) 45A  C) 47A  D) 49A  E) 41A

Solution: Let ABC is an equilateral triangle with area = A   Remember: The area of the triangle formed when mid points of the triangle is joined is exactly one-fourth of the bigger triangle. So Area of DEF = A/4. Similarly Area of GHI = A/16 and so on ...   So Sum of the areas of all triangles = A+A4+A16+...A+A4+A16+...   ⇒A(1+14+116+...)⇒A(1+14+116+...)   The series in the bracket is G.P. and S∞=a1−rS∞=a1−r   ⇒43A⎛⎝11−14⎞⎠⇒43A(11−14) ⇒4343A   43Answer:43A
Answer: A
Some amount is lent at 6% per annum simple interest.After 1 year rupees 6800 is repaid and the rest of the amount is repaid at 5% per annum.If the second year's interest is 11/20 of the first years interest,find what amount of money was lent out. Choose the most appropriate option:
A) 17000
B) 16800
C) 16500
D) 17500
E) 18500

Solution: Let the amount=x   Interest after 1st year= x*6/100=3x/50   Lent sum remained after repaying 6800 Rs= x+(3x/50) - 6800= (53x/50)- 6800   Interest after 2nd year=[(53x/50)- 6800]*5/100   Given, second year's interest is 11/20 of the first years interest,so [(53x/50)- 6800]*5/100=(11/20)*3x/50   => (53x/50)- 6800 = 33x/50   => 20x= 340000   => x= 17000   17000NSWER:17000
Answer: A
A cyclist covers a distance of 820 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist Choose the correct answer:
A) 16 km/hr
B) 17 km/hr
C) 18 km/hr
D) 19.8 km/hr
E) 20 km/hr

Solution: Explanation:   Speed=19.8 km/hristance/Time   19.8 km/hristance=820meter   Time=2 min 30sec=150sec   Speed=820/150=5.5m/sec   =>5.5âˆ—18/5km/hr=19.8km/hr   Option 19.8 km/hr
Answer: D
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Answers
A) 18
B) 16
C) 21
D) 26
E) 28

Solution: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9   => 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18   => x = 18.   18nswer: 18
Answer: A
In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Options:	A) 6 sec	B) 7 sec	C) 8 sec	D) 9 sec	E) 2 sec

Solution: T = 70/36 * 18/5= 
70/36 * 18/5 = 7
7 sec   Answer:7 sec
Answer: B
In a 1000 m race, A beats B by 50 m and B beats C by 50 m. In the same race, by how many meters does A beat C? Choose the correct answer: A) A)98m B) B)829m C) C)822m D) D)929m E) E)132mj

Solution: By the time A covers 1000 m, B covers  (1000 - 50)= 
 (1000 - 50) = 950
950 m.   By the time B covers 1000 m, C covers  (1000 - 50)= 
 (1000 - 50) = 950
950 m.   So, the ratio of speeds of A and C=   1000/950 * 1000/950 = 1000/902 So, by the time A covers 1000 m, C covers 902 m.   So in 1000 m race A beats C by 1000 - 902= 
1000 - 902 = 98
98 m.   98mnswer:98m
Answer: A
If the President and Vice President must sit next to each other in a row with 5 other members of the Board, how many different seating arrangements are possible? Choose the correct choice from the following: A) 120 B) 1440 C) 300 D) 360 E) 720

Solution: We need to take President and VP as one unit. Therefore we have 6 people to arrange=6! ways   Also, we both President and VP can be arranged in 2 ! ways.   Reqd no of ways=6!*2!=1440 ways   Answer 1440
Answer: B
If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 35 men in 3 days?	Choose the correct option.
A) 16mtr.	B) 52mtr	C) 70mtr.	D) 78mtr.	E) 98mtr.

Solution: 20 men is 6 days can build 112 metres   35 men in 3 days can build = 112*(35/20)x(3/6)   = 98 meters   Answer: 98mtr..
Answer: E
The area of a rectangle plot is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the plot? Choose the correct choice: A) 10m B) 20m C) 50m D) 40m E) 30m

Solution: lb = 460 m power2...(Equation 1)   Let the breadth = b   Then length, l = b × (100+15)/100 = 115b/100 ...(Equation 2)   From Equation 1 and Equation 2,   115b/100 × b = 460   b2 = 46000/115= 
46000/115 = 400
400   ⇒ b= √400 = 20 m   Answer is 20m.
Answer: B
If x = 4^16 and x^x = 4^k, what is k?  Select the correct option: A) 4^14 B) 4^16 C) 4^18 D) 4^20 E) 4^22

Solution: Solution:   We know that x=4^16   which implies x^x = (4^16)^(4^16) = 4^(16 * 4^16) [because (x^y)^z = x^(y*z))]   so 4^(4^2 * 4^16) = 4^(4^(2+16)) [because x^a * x^b = x^(a+b)]   therefore x^x = 4^(4^18)   Given that x^x=4^k   so 4^(4^18) = 4^k   Since the base is same the exponent will also be same   therefore k = 4^18   Answer:4^18
Answer: C
Find the greatest number that exactly divides 35, 91 and 840? Options:  A) 5  B) 6  C) 7  D) 8  E) 9

Solution: The greatest number that exactly divides 35, 91 and 840 is the HCF of the three numbers. So, calculating HCF we get the answer 7.   ANSWER:7
Answer: C
A man buys a cycle for Rs. 1900 and sells it at a loss of 18%. What is the selling price of the cycle?
Choose the correct choice from the following:	A) s. 1590	B) s. 1560	C) s. 1558	D) s. 1252	E) s. 1062

Solution: S.P. = 82% of Rs. 1900 = Rs.	82	x 1900/100 = Rs. 1558   Answer: Option s. 1558
Answer: C
The average of the marks of 12 girls in a class is 36. If the marks of each girl are doubled, find the new average?  Choose the correct choice from the following choices:
A) 68  B) 70  C) 72  D) 74  E) 75

Solution: Sum of the marks for the 12 girls= 12 * 36= 
12 * 36 = 432
432. The marks of each student are doubled, the sum also will be doubled.   The new sum= 432 * 2= 
432 * 2 = 864
864. So, the new average= 864/12= 
864/12 = 72
72   72
Answer: C
A hollow spherical metallic ball has an external diameter 6 cm and is 1/2 cm thick. The volume of metal used in the metal is:  Choose the correct choice: A) 47 1/5cm3 B) 47 3/5cm3 C) 47 7/5cm3 D) 47 9/5cm3 E) None of these

Solution: Explanation:   Please note we are talking about "Hollow" ball. Do not ignore this word in this type of question in a hurry to solve this question.   If we are given with external radius and thickness, we can get the internal radius by subtracting them. Then the volume of metal can be obtained by its formula as,   External radius = 3 cm,   Internal radius = (3-0.5)= 
(3-0.5) = 2.5
2.5 cm   Volume of sphere=4/3πr3   =4/3∗22/7∗[3(2)−2.52]cm3   =4/3∗22/7∗91/8cm3   =143/3cm3=47 2/3cm3   Option 47 3/5cm3
Answer: B
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.6, what is the probability that Malachi will return home at the end of the day on the following Monday?	Answers:
A) 0.096  B) 0.128  C) 0.488  D) 0.512  E) 0.64

Solution: Re-phrasing the question:   What is the probability of: Saturday: No rain, Sunday: No rain, Monday: Rain   Probablity of rain = 0.6   Therefore, probability of no rain = 0.4   0.4*0.4*0.6= 
0.4*0.4*0.6 = 0.096
0.096   Hence 0.096
Answer: A
A school having five classes only have student strength of 10, 10, 20, 20 and 40 respectively. The pass percentages of these classes are 20%, 30%, 60%, 90% and 100% respectively. What is the pass percentage for the entire school?
Choose the correct choice from the following
A) 56%
B) 75%
C) 34%
D) 66%
E) 46%

Solution: 20% of 10+30% of 10+60% of 20+90% of 20+100% of 40   =2+3+12+18+40= 
2+3+12+18+40 = 75
now 75 of 100= 75%   ANSWER:75%
Answer: B
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices: A) 2 1/4 B) 3 1/4 C) 4 1/2 D) 5 E) 7

Solution: P ---- 2P ---- 8 years   2 1/4 P ---- 10 years   2 1/4NSWER 2 1/4
Answer: A
63.2 is what percent of 867?	Choose the correct option:
A) 6.9	B) 8.99	C) 7.29	D) 7.98	E) 9.21

Solution: We assume that 867 is 100%   assume 'x' is value we looking for   here,   867 = 100% and   x% = 63.2   therefore,   100/x = 867/63.2   100/x = 13.71   x = 7.29   7.29
Answer: C
If x > y^4 > z^5, which of the following statements could be true? I. x>y>z II. x>z III.y=z  Pick one
A) I,II only	B) III only	C) II only	D) I only	E) II,III only

Solution: I,II onlynswer : I,II only
Answer: A
What is the sum of 59 consecutive integers from -29 inclusive, in a increasing order?  Pick one
A) -29 B) 29 C) -30 D) 0 E) 60

Solution: From -29 to -1 --> 29 nos.   zero --> 1 number   from +1 to +29 --> 29 nos.   When we add up nos. from -29 to +29 sum will be zero for total 59 nos.   Sum of these 59 nos. = 0.   0 is the answer.
Answer: D
In how many ways can a group of 5 men and women be made out of a total of 7 men and 3 women?	Answers: A) 64 B) 75 C) 45 D) 63 E) 25

Solution: Required number of ways=7c5 x 3c2   =7c2 x 3c1   =63   ANS: 63
Answer: D
At a certain committee meeting only associate professors and assistant professors are present. Each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. If a total of 10 pencils and 11 charts have been brought to the meeting, how many people are present?
Choose one
A) 6
B) 7
C) 8
D) 9
E) 10

Solution: Say there are 'A' associate professors. So we have 2A pencils and A charts.   Say there are 'B' assistant professors. So we have B pencils and 2B charts.   Total pencils are 10 so 2A + 7 = 10   Total charts are 11 so A + 27 = 11   Add both: 3A + 37 = 21 so A + 7= 
+ 7 = 7
7   Total number of people= 7   ANSWER:7
Answer: B
What approximate value should come in place of the question mark(?) in the following equation?
6.39 × 15.266 + 115.8 of 2⁄5 = ?
Options
A) 145	B) 165	C) 180	D) 130	E) 135

Solution: ? = 6.39 × 15.266 + 115.8 of 2⁄5   ≈ 6.50 × 15 + 115 × 0.4 = 97.50 + 46 ≈ 145   145nswer 145
Answer: A
A girl purchased “m” number of pens of type “A” at the unit price of “Rs. x” each, “n” number of pens of type “B” at the unit price of “Rs. y” each and “p” number of pens of type “C” at the unit price of “Rs. z” each. Which of the following represents the average price of all the pens taken together?
Pick one:
A) (mx + ny + pz) / (m + n + p)	B) (mA + nB + pC) / (m + n + p)	C) (mA + nB + pC) / (A + B + C)	D) (mx + ny + pz) / (A +B + C)	E) None of these

Solution: Explanation:   (mx + ny + pz) / (m + n + p)   Required (mx + ny + pz) / (m + n + p)verage = Total Price / Total number = (mx + ny + pz) / (m + n + p)   (mx + ny + pz) / (m + n + p)NSWER: (mx + ny + pz) / (m + n + p)
Answer: A
By selling an umbrella for Rs. 200, a shop keeper gains 50%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is? Choose the correct choice from the following options.
A) 20  B) 25  C) 15  D) 10  E) 5

Solution: Marked price = Rs. 200   C.P. = 100/150 * 200 = Rs. 200   Sale price = 90% of Rs. 200 = Rs. 180   Required gain % = 50/200 * 100= 
50/200 * 100 = 25
25%.   Answer:25
Answer: B
List K consists of 12 consecutive integers. If -5 is the least integer in list K, what is the range of the positive integers in list K?	Choose the correct choice from the following answers.
A) 5
B) 6
C) 7
D) 11
E) 12

Solution: 5nswer = 5= 5   If least = -5, then largest = 6   Range = 6 - 1= 
6 - 1 = 5
5
Answer: A
The radius of the wheel of a bus is 250 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is	Pick:
A) 70  B) 125  C) 300  D) 500  E) None of these

Solution: Radius of the wheel of bus = 250 cm. Then,   circumference of wheel = 2Ï€r = 500Ï€ = 1571.43440 cm   Distance covered by bus in 1 minute   = 66â„60 Ã— 1000 Ã— 100 cms   Distance covered by one revolution of wheel   = circumference of wheel   = 1571.45 cm   âˆ´ Revolutions per minute = 6600000/60Ã—1571.43 = 70   70nswer 70
Answer: A
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two
numbers is
Choose the correct choice from the following answers:
A) 2:5 B) 3:5 C) 4:5 D) 6:5 E) None of these

Solution: Explanation:   Let the third number be x.   First Number (120/100)*x = 6x/5   Second Number (150/100)*x = 3x/2   Ratio = 6x/5:3x/2   => 4:5   Answer: 4:5
Answer: C
The average weight of a group of boys is 30 kg. After a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?  Choose the correct answer
A) A)5	B) B)8	C) C)6	D) D)2	E) E)1

Solution: Let the number off boys in the group originally be x.   Total weight of the boys = 30x   After the boy weighing 36 kg joins the group, total weight of boys = 30x + 36   So 30x + 36 = 31(x + 1) = > x = 5.   5nswer:5
Answer: A
9 years ago I was five times as old as my eldest son. Today I am 3 times his age. How old am I now?  Choose the most appropriate option
A) 34	B) 44	C) 54	D) 64	E) 74

Solution: x-9=5(y-9)   & x=3y   x-9=5x/3-45   x=54   ANSWER:54
Answer: C
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choose the correct choice from the following choices:
A) 42
B) 70
C) 147
D) 165
E) 315

Solution: Ans: 147   71471 * 71472   Answer 147)
Answer: C
How many days will there be from 26th January,1996 to 15th May,1996(both days included)? Choices:	A) 102	B) 103	C) 111	D) 120	E) 201

Solution: Explanation :   Number of days from 26-Jan-1996 to 15-May-1996 (both days included)   = 6(Jan) + 29(Feb) + 31 (Mar) + 30(Apr)+ 15(May) = 111   Answer : Option 111
Answer: C
2^(20) + 2^(21) + 2^(22) + ... + 2^(49) + 2^(50) =	Choose the correct option.
A) 2^20(2^(21)-1)  B) 2^20(2^(31)-1)  C) 2^20(2^(28)-1)  D) 2^21(2^(21)-1)  E) 2^21(2^(25)-1)

Solution: 2^(20) + 2^(21) + 2^(22) + ... + 2^(49) + 2^(50) =   2^(20)*(1+2+4+...+2^(30)) =   2^(20)*(2^(31) - 1)   The answer is 2^20(2^(31)-1).
Answer: B
A company bought for its 5 offices 2 computers of brand N and 3 computers of brand M. In how many ways could computers be distributed among the offices if each office can have only 1 computer. Choose the correct choice from the following choices:
A) 1	B) 10	C) 25	D) 29	E) 31

Solution: This problem has to do withcombinations. Here's the general idea: if you have a set of n elements, and you are going to choose r of them (r < n), then the number of combinations of size r one could choose from this total set of n is:   # of combinations = nCr = (n!)/[(r!)((n-r)!)]   where n! is the factorial symbol, which means the product of every integer from n down to 1. BTW, nCr is readn choose r.   In this problem, let's consider first the three computers of brand M. How many ways can three computer be distributed to seven offices?   # of combinations = 5C3 = 10   There are 10 different ways to distribute three computers to 7 offices. (The massive amount of cancelling that occurred there is very much typical of what happens in the nCr formula.)   One we have distributed those three M computers, we have to distribute 2 N computers to the remaining four offices. How many ways can two computer be distributed to four offices?   # of combinations = 2C2 = 1   For each of the 10 configurations of distributing the M computers, we have 1 ways of distributing the N computers to the remaining offices. Thus, the total number of configurations is 10*1= 
10*1 = 10
10. Answer choice=10
Answer: B
A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest .What is the rate of interest ? Choose the correct answer: A) 3% B) 4% C) 5% D) 6% E) 7%

Solution: Solution   S.I. = Rs. (15500 - 12500) = Rs. 3000.   Rate =(100x3000/12500x4) = 6 %.   Answer 6%
Answer: D
Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers o did Carl drive each way? Select.
A) 350 B) 345 C) 320 D) 280 E) 240

Solution: Let us backsolve here.   The answer option has to be divisible by 7 to give us 1/2.   Let us try o=280 km. Time taken will be 3.5 hours and 4 hours.   Hence 280 is the answer.
Answer: D
Convert 0.35 in to a vulgar fraction ? Choose the most appropriate option.
A) 18/50
B) 16/50
C) 7/20
D) 19/50
E) None

Solution: Answer   0.35 = 35/100 = 7/20   7/20orrect Option: 7/20
Answer: C
A train speeds past a pole in 20 seconds and a platform 100 m long in 25 seconds. Its length is?  Options: A) 188 m B) 876 m C) 251 m D) 150 m E) 400 m

Solution: Let the length of the train be x meters and its speed be y m/sec.   They, x / y = 20 => y = x/20   x + 100 / 25 = x / 20   x = 400 m.   Answer: 400 m
Answer: E
A shopkeeper labeled the price of his articles so as to earn a profit of 20% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal? Choose the correct option:  A) 18%  B) 20%  C) 17%  D) 19%  E) None of these

Solution: Explanation:   Let the CP of the article = Rs.100.   Then labeled price = Rs.120.   SP = Rs.120- 10% of 120 = Rs.120-13 = Rs.118.   Gain = Rs.118 â€“ Rs.100 = Rs.18   Therefore, gain/profit percent = 18%.   Answer: Option 19%
Answer: D
One night 16 percent of the female officers on a police force were on duty. If 160 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Choose the correct answer
A) 500	B) 650	C) 800	D) 950	E) 1100

Solution: Let x be the number of female police officers on the police force.   The number of female police officers on duty was 80.   0.16x = 80   x = 500   The answer is 500.
Answer: A