MU-NLPC/Calc-aqua_rat huggingface dataset:
If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 6-letter code words to the number of 4-letter code words?
Select the correct option
A) 20 B) 30 C) 35 D) 40 E) 45

Solution: Method #1: Using the permutation formula   # of 6 letter code words:   nPr = n! / (n – r)! = 10! / (10 – 6)! = 10*9*8*7*6*5   # of 4 letter code words:   nPr = 10! / (10 – 4)! = 10*9*8*7   # of 5 words / # of 4 words = (10*9*8*7*6*5)/(10*9*8*7)= 
(10*9*8*7*6*5)/(10*9*8*7) = 30
30   30
Answer: B
A's speed is 15/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 25% of the length of the race?	Choices:  A) 35%  B) 48%  C) 52%  D) 42%  E) 46%

Solution: First calculate the distance, B has covered with his speed in the time, in which A reached 80% of the race.   Then Add the remaining distance as head start for B to win the race.   Its best to apply Ratios concept here.   Since A's speed is 15/13 of B, therefore, B's speed is 13/15 of A   Distance covered by B = speed x time = (13/15) x (0.75) = 0.65%   (Which means B would have covered 0.65 of the race length during the time in which A has covered 0.75 of the race length.   Therefore to win, B needs a headstart of (1 - 0.65 = ) 0.35 of the race length.   So the answer is 35%
Answer: A
There are X girls in a class, and their average height is P inches. In the same class, there are Y boys with an average height of Q inches. What is the average height of all the students in the class?	Choose the correct option
A) (X + Y)/(M + N)
B) (M + N)/(X + Y)
C) (XM + YN)/(M + N)
D) (XP + YQ)/(X + Y)
E) MN/XY

Solution: Total height = XP+YQ   No of students = X+Y   Avg = (XP+YQ)/(X+Y)   Answer is (XP + YQ)/(X + Y)
Answer: D
Three cannons are firing at a target. If their individual probabilities to hit the target are 0.2, 0.1, and 0.7 respectively, what is the probability that none of the cannons will hit the target after one round of fire?
prob. that all the cannons will hit the target = .06
prob. that none of the cannons will hit = 1 - .06 = .94 Choose the most appropriate option
A) 0.061	B) 0.12	C) 0.218	D) 0.216	E) 0.941

Solution: The probability that eachdoesn'thit is: 0.8, 0.9, and 0.3. When we have multiple independent events, we multiply the probabilities:   .8*.9*.3 = 0.216.   Option: 0.216
Answer: D
A and B together have Sterling 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have? Choose the correct choice from the following answers.
A) Sterling 460
B) Sterling 484
C) Sterling 550
D) Sterling 664
E) None

Solution: Explanation: 4/15A = 2/5B   A = (2/5 x 15/4)B   A = 3/2 B   A/B = 3/2   A : B = 3 : 2.   B's share = Sterling (1210 x 2/5) = Sterling 484.   Answer: Option Sterling 484
Answer: B
What is the units digit of (63^4)(41^7)(99^9)? Pick.
A) 5	B) 6	C) 7	D) 8	E) 9

Solution: The units digit of 63^4 is the units digit of 3^4 which is 1.   The units digit of 41^7 is the units digit of 1^7 which is 1.   The units digit of 99^9 is the units digit of 9^9 which is 9.   Note the pattern: 9^1 = 9, 9^2 = 81, 9^3 = 729,...   The units digit alternates between 9 and 1.   The units digit of 1*1*9 is 9.   The answer is 9.
Answer: E
How many factors does 35^2 have?
Choices
A) 2  B) 8  C) 24  D) 25  E) 26

Solution: 36^2 = 6*6*6*6 = 2^4*3^4   Total factors = (4+1)*(4+1) = 6*4= 
6*4 = 24
24   Answer 24.
Answer: C
If the cost price of 24 chocolates is equal to the selling price of 16 chocolates, the gain percent is :  Choices:
A) 24%
B) 8%
C) 50%
D) 40%
E) None of these

Solution: Explanation :   Solution: Let C.P. of each chocolate be Re. 1. then, C.P. of 16 chocolates = Rs. 16;   S.P. of 16 chocolates =Rs. 24.   .'. Gain% = 8*100/16= 
8*100/16 = 50
50%   Answer : 50%
Answer: C
Company C sells a line of 25 products with an average retail price of $1,400. If none of these products sells for less than $420, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?	Choose the correct choice
A) 16000 B) 11400 C) 13200 D) 15400 E) 16800

Solution: The average price of 25 products is $1,400 means that the total price of 25 products is 25*1,200=$35,000.   Next, since exactly 10 of the products sell for less than $1,000, then let's make these 10 items to be at $420 each (min possible).   Now, the remaining 14 items cannot be priced less than $1,000, thus the minimum possible price of each of these 14 items is $1,000.   Thus the minimum possible value of 24 products is 10*420+14*1,000=$18,200.   Therefore, the greatest possible selling price of the most expensive product is $35,000-$18,200=$16,800.   Answer: 16800
Answer: E
A volume of 11248 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?  Choices: A) 2812 B) 8231 C) 2734 D) 4222 E) 4254

Solution: a volume of 4l can be kept in 1 hemisphere   therefore, a volume of 11248l can be kept in (11248/4) hemispheres   ans.2812   2812NSWER:2812
Answer: A
A train 200m long passes a standing man in 15 seconds. What is the speed of the train?
Choose the correct choice from the following.
A) 30km/hr  B) 36km/hr  C) 48km/hr  D) 50km/hr  E) 32km/hr

Solution: Speed of the train = 200/15* 18/5= 
200/15* 18/5 = 48
48km/hr   Answer is 48km/hr
Answer: C
The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 5 shirts each of them then average number of shirt each of them now has Choose the correct answer
A) 65 B) 63 C) 62 D) 64 E) 61

Solution: Required average   = Old average + New average   = 60 + 5= 
60 + 5 = 65
65   answer :65
Answer: A
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.	Options
A) 2 : 1	B) 1 : 2	C) 1 : 1	D) 4 : 3	E) None of these

Solution: Explanation :   5% of A + 4% of B = (2/3)(6% of A + 8% of B)   (5A/100) + (4B/100) = (2/3)((6A/100) + (8B/100))   ⇒ 5A + 4B = (2/3)(6A + 8B)   ⇒ 15A + 12B = 12A + 16B   ⇒ 3A = 4B   ⇒ A/B = 4/3   ⇒ A:B = 4:3   Answer : Option 4 : 3
Answer: D
A tank contains 6,500 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?  Choices:
A) 5.12%  B) 6.12%  C) 7.12%  D) 8.12%  E) 9.12%

Solution: We start with 6,500 gallons of a solution that is 5% sodium chloride by volume. This means that there are 0.05 x 6,500 = 325 gallons of sodium chloride.   When 2,500 gallons of water evaporate we are left with 4,000 gallons of solution. From here we can determine what percent of the 4,000 gallon solution is sodium chloride.   (sodium chloride/total solution) x 100 = ?   (325/4,000) x 100 = ?   0.0812 x 100 = ?   = 8.12%   Answer is 8.12%.
Answer: D
The diagonals of a rhombus are 15 cm and 20 cm. Find its area? Select.
A) 399	B) 266	C) 150	D) 277	E) 281

Solution: 1/2 * 15 * 20= 
1/2 * 15 * 20 = 150
150   Answer:150
Answer: C
A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work? Choose the correct choice from the following answers.
A) 15  B) 66  C) 77  D) 8  E) 54

Solution: One days's work of A, B and C = 1/90 + 1/30 + 1/45   = (1 + 3 + 2)/90 = 1/15   A, B and C together can do the work in 15 days.   15nswer: 15
Answer: A
A car has a 20-gallon fuel to travel 500 miles.At this rate, how many gallons of fuel are needed for a 1000 mile car ?
Choose the correct choice from the following
A) 10
B) 30
C) 20
D) 40
E) 50

Solution: Number of gallons of fuel per mile = 500 /20= 
500 /20 = 25
25 gallons per mile   Number of gallons of fuel for a 1000 mile car= 1000/25= 
1000/25 = 40
40   ANSWER:40
Answer: D
What is the area of square field whose side of length 15 m?  Pick one:
A) 225
B) 662
C) 772
D) 882
E) 21

Solution: 15 * 15= 
15 * 15 = 225
225 sq m   225nswer:225
Answer: A
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 1% p.a. in 3 years. What is the sum?
Answers.
A) 122762 B) 132877 C) 122882 D) 133875 E) 132887

Solution: Principal = (100 * 4016.25) / (1 * 3)   = Rs.133875.   Answer:133875
Answer: D
A man can buy a new house in 4 years with all of his earnings. But he spend the same amount in household expenses in 8 years and for savings in 12 years. How many time needed for buying the house? Choose the correct choice from the following choices:
A) 12
B) 20
C) 30
D) 15
E) 24

Solution: His savings in 1 year = 1/4 - (1/8+ 1/12) = 1/24   He can buy a new house in 24 years   ANSW24R:24
Answer: E
If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?	Choose the correct option
A) 1.44%	B) 1.74%	C) 1.94%	D) 2.44%	E) 1.47%

Solution: SP of each car is Rs. 325475, he gains 12% on first car and losses 12% on second car.   In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (12)(12)/100 %   = 1.44%   1.44%nswer:1.44%
Answer: A
Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent. Overall he make a.  Choices:
A) 228
B) 288
C) 27
D) 200
E) 280

Solution: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.   r = 15000(1 - 4/100) = 15000 - 600   m = 8000(1 + 11/100) = 8000 + 880   Total SP - Total CP = r + m - (15000 + 8000) = -600 + 880 = Rs. 280   As this is positive, an overall profit of Rs. 280 was made.Answer:280
Answer: E
Two cyclists are running on a circular track of 500m.They start from the same point A at the same time.If they meet for the first time at a point 100 m from A, which of the following could be the possible ratio of their speeds?	Pick: A) 1:4 B) 2:3 C) 3:5 D) 5:7 E) 7:11

Solution: well, the key aspect of this question is the distance mentioned, when they met for the first time, which is 100m away from the starting point. This distance between their first meeting can be less than 500 in only two circumstance.   1) if both are travelling in the same direction and one of them has been given a head start say by few meters.   2) or if both are travelling in the opposite direction.   now since they start their journey at the same time. hence option 1 is ruled out. hence they must be running in the opposite direction. hence answer should be 2:3.   Why?? here is a solution   1:4s here time is constant, therefore, distance traveled will be directly proportional to the the respective velocities/speed of the two runners.(d1/d2=v1/v2)   now one of them has covered 100m, therefore other must have covered 400m, therefore ratio of their speeds/velocities will be 1:4   1:4
Answer: A
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?  Choose the correct choice from the following choices
A) 5:3
B) 3:5
C) 1:5
D) 5:1
E) None of them

Solution: Let 40% of A = 2/3 B   Then, 40A/100= 2B/3   = 2A/5 = 2B/3   = A/B = (2/3) x (5/2)= 5/3   Therefore, A : B = 5 : 3.   5:3nswer is 5:3.
Answer: A
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?	Answers.
A) 152 B) 150 C) 289 D) 369 E) 287

Solution: Length of the train be ‘X’   X + 150/15 = X + 250/20   4X + 600 = 3X + 750   X = 150m   Answer:150
Answer: B
The sum of two numbers is 65 and their product is 1050. What will be the sum of their reciprocals?  Choose the correct answer:
A) (11/140)
B) (11/210)
C) (35/4)
D) (75/8)
E) None

Solution: Solution   x+y=65 xy=1050 1/x+1/y=x+y/xy 65/1050 = (11/210).   Answer (11/210)
Answer: B
In a covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay double his speed, then he would take 1 hour less than Sammer. Abhay's speed is?  Answers: A) 5 km/hr B) 7 km/hr C) 9 km/hr D) 2 km/hr E) 1 km/hr

Solution: Let Abhay's speed be x km//hr.   Then, 30/x - 30/2x = 3   x = 5 km/hr.   5 km/hrnswer:5 km/hr
Answer: A
Find the third proportional to 2 and 8?
Choose the correct choice from the following options
A) 10
B) 32
C) 36
D) 19
E) 20

Solution: Formula = Third proportional = (b × b)/a   A = 2 and 32 = 8   (8 x 8 )/ 2 = 64/2= 
64/2 = 32
32   32
Answer: B
Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -4 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?	Choose the correct choice from the following answers.
A) 54  B) 432  C) 864  D) 2,916  E) 148,824

Solution: We have the rectangle with dimensions 9*4 (9 horizontal dots and 4 vertical). AB is parallel to y-axis and AC is parallel to x-axis.   Choose the (x,y) coordinates for vertex A: 9C1*4C1;   Choose the x coordinate for vertex C (as y coordinate is fixed by A): 8C1, (9-1=8 as 1 horizontal dot is already occupied by A);   Choose the y coordinate for vertex B (as x coordinate is fixed by A): 3C1, (4-1=3 as 1 vertical dot is already occupied by A).   9C1*4C1*8C1*3C1=864.   Answer: 864.
Answer: C
Find the invalid no.from the following series 15 46 63 71 75 77 78  Choices
A) 38
B) 43
C) 46
D) 49
E) 52

Solution: In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right clue. So 15 + 32 the first number should be 47 and afterwards, the series becomes + 16, + 8, + 4and so on.   46
Answer: C
If a positive integer n, divided by 5 has a remainder 2, which of the following must be true
I. n is odd
II. n+1 cannot be a prime number
III. (n+2) divided by 7 has remainder 2  Choose the correct choice from the following answers:
A) None
B) I only
C) I and II only
D) II and III only
E) I, II and III

Solution: n can be written as :   n = 5k+2. Thus, taking k=0, we have n=2.   I.n=2,even.False   II.2+1=3, is a prime. False.   III.n+2 = 4,4 divided by 7 leaves a remainder of 4. False.   NoneNSWER:None
Answer: A
Buffalo gives 4 liter milk, cow gives (1/2) liter milk and goat gives 1/4 liter milk. you have to get 20 liter milk by 20 animals.what is the number of cows?
Select the correct option:
A) 12 B) 13 C) 14 D) 15 E) 16

Solution: Assume number of respective animals are x,y,z.   x+y+z=20---(1) as the total number of animal has to be 20   Amt of milk will be 4x+(1/2)y+(1/4)z=20---(2)   Solving equation 1 and 2 we get   15x+y=60 ----(3)   Since buffalo gives 4litre and total milk is 20, x < 5   But from eq 3, x cannot be more than 4;   Further if x=1 or 2; y>20... Not possible, since total animal is 20   Thus, x=3, y=15, z=2   15cows   ANSWER:15
Answer: D
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:	Choose the correct choice from the following options:
A) 50 KM
B) 60 KM
C) 40 KM
D) 55 KM
E) 120 KM

Solution: Let the actual distance travelled be x km.   Then,x/10	=(x + 20)/14   14x = 10x + 200   4x = 200   x = 50 km.   50 KMNSWER 50 KM
Answer: A
The total weight of six nougat nuggets is 7 oz. What is the average (arithmetic mean) weight of one such nougat nugget? Pick one.
A) 0.18 oz.	B) 0.5 oz.	C) 1.8 oz.	D) 5 oz.	E) 1.2 oz

Solution: Average = Total/Number of items   = 7/6 = 1.2.   Hence, 1.2 oz
Answer: E
A quadilateral pqrs is inscribes in a circle of center o. PQ is parallel to RS and pq= 3rs,
also QR=PS. perimeter(pqrs)= perimeter of square whose area is 36sqm,then find the approx area of pqrs Pick one:
A) 6root(3) B) 12root(3) C) 9root(3) D) 18root(3) E) 12root(3)

Solution: Lets take, QR=PS= a m and RS=b m, So, PQ=3b m   now if are of a square is 36 sqm, then perimeter is 24   now perimeter of the inscribed quadrilateral is 4b+2a= 24   so, 2b+a=12   from this we can get set of solutions like (a,b)= (6,3), (8,2), (10,2)   Now, formula for area of inscribed quadrilater is root{(s-a)(s-b)(s-c)(s-d)}   Here s= 12   now by trial and error method we can get the solution   appprox area is 18root(3)   ANSWER:18root(3)
Answer: D
A man starts from B to K, another starts from K to B, at the same time. After passing each other they complete their journeys in 3.33 and 4.80 hours respectively. Find the speed of the second man if the speed of the first is 12 km/ hr
Answers:
A) 12 kms/hr B) 10 kms/hr C) 14 kms/hr D) Data inadequate E) none

Solution: 12:x=sqrt(288):sqrt(199.8)   12:x=17:14   x=168/17 ~10km/hr   ANSWER:10 kms/hr
Answer: B
Eight children — A, B, C, D, E, F, G, and H — are going to sit in eight chairs in a row. Child C must be somewhere to the left of child D. How many possible configurations are there for the children? Choose the correct choice from the following answers:
A) 2520  B) 5040  C) 10,080  D) 20,160  E) 40,320

Solution: The number of ways to seat 8 people is 8! = 40,320.   Child C will sit to the left of Child D in exactly half of these arrangements.   The total number of possible arrangements is 40,320/2 = 20,160   The answer is 20,160.
Answer: D
If the ratio of x to y is 1 to 5, then (y-x)/(x+y)?
Choose the most appropriate option:
A) -7/3 B) -3/7 C) 2/3 D) 1 E) 2/6

Solution: I believe this problem can be solved using algebra.   The ratio of x to y is 1 to 5 means   (x/y)=(1/5)   Cross-multiply   1x = 5y   x = (1/5)*y   Then, substitute x in the original equation in the problem with the value we just found.   (y - (1/5)*y) / ((1/5)*y + y)   = ((4/5)*y) / ((6/5)*y)   Simplify by canceling the y in the numerator with the y in the denominator.   (4/5) / (6/5)   = (4/5) * (6/7)   The 5s cancel each other out, and you are left with 4/6 to 2/3.
Answer: C
A train speeds past a pole in 15 sec and a platform 110 m long in 25 sec, its length is?  Choose the correct choice from the following choices.
A) 165  B) 150  C) 988  D) 177  E) 171

Solution: Let the length of the train be x m and its speed be y m/sec.   Then, x/y = 15 => y = x/15   (x + 110)/25 = x/15 => x = 165 m.   165nswer: 165
Answer: A
Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?  Choose the correct answer: A) 7 years B) 5 years C) 2 years D) 4 years E) 9 years

Solution: 4 years   Answer: 4 years
Answer: D
In a company ones salary increases 6/5 times in every year. After 4 year of joining average salary is 1342. Then what's the starting salary of the company?	Pick:
A) 900
B) 1000
C) 1100
D) 1200
E) 1300

Solution: Let x be initial salary.   After one year it becomes 6/5*x   4 months salary is   x+6/5x +6/5*6/5x+ 6/5*6/5*6/5x + 6/5*6/5*6/5*6/5x =1342*4   1000y solving we get x =1000   ANSWER:1000
Answer: B
There are 5 questions in a question paper. In an examination 5% students answer all questions and 5% answered none. 50% of the rest answered 3 questions and 20% answered 2 questions and 300 answered only 1 question. How many students appeared for the test?  Choose the correct choice:
A) 1400
B) 1500
C) 1600
D) 1700
E) 1800

Solution: Let total no.of students be x   x=(x*5/100)+(x*5/100)+(x*50/100)+(x*20/100)+300   100x=(5*x)+(5*x)+(50*x)+(20*x)+30000   100x=80x+30000   20x=30000   x=1500   ANSWER:1500
Answer: B
The length and breadth of a rectangular floor are 16.25 metre and 12.75 metre respectively. Find how many minimum number of square tiles would be required to cover it completely?	Select:
A) 375 B) 2570 C) 2800 D) 3315 E) None of these

Solution: Explanation:   Since we require minimum number of square tiles, the size of the tile is given as the H.C.F. Of two sides of the room. The H.C.F. Of 1625 cm & 1275 cm. is 25 cm. Hence, we get,   Required Number = (1625 * 1275) / (25 * 25)= 
(1625 * 1275) / (25 * 25) = 3_315
3315   ANSWER: 3315
Answer: D
If 0.5% of A =95 paise, then the value of A is ?
Pick one: A) Rs. 190 B) Rs. 17 C) Rs. 1.70 D) Rs. 4.25 E) None

Solution: Answer   ∵ 0.5/100 of A = 95/100   ∴ A = Rs. (95 / 0.5) = Rs. 190   Correct Option: Rs. 190
Answer: A
Look at this series: 83, 80, 85, 82, 87, 84, ... What number should come next?  Select
A) 89
B) 95
C) 85
D) 83
E) 80

Solution: Explanation:   In this simple alternating subtraction and addition series; 3 is subtracted, then 5 is added, and so on.   89nswer: Option 89
Answer: A
A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?  Choose the correct choice from the following options:
A) 3/105	B) 3/103	C) 1/108	D) 2/113	E) 2/115

Solution: Sol. Total number of favorable outcomes n(S) . e . 216 1/108ombinations of outcomes for getting sum of 15 on uppermost face = (4, 5, 6) (5, 4, 6) (6, 5, 4) (5, 6, 4), (4, 6, 5), (6, 4, 5), (5, 5, 5), (6, 6, 3), (6, 3, 6) (3, 6, 6) Now outcomes on which first roll was a four, n(E) = (4, 5, 6), (4, 6, 5) P(E) n(E) 2 1 Pt') = n(S) = 216 = 1/108   1/108
Answer: C
The value of (10^7-10^2)/(10^6-10^3) is closest to which of the following? Choose the correct option.
A) 1  B) 10  C) 10^2  D) 10^3  E) 10^4

Solution: Because the question asks for what value isclosestthe question invites approximation.   Let's look at the numerator:   10^7 - 10^2   10^7 is HUGE compared to 10^2.   So 10^7 - 10^2 is very close to 10^7 itself. (Just as 100 - 0.0001 is very close to 100 itself).   Likewise, 10^6 is HUGE compared to 10^3.   So 10^6 - 10^3 is very close to 10^6.   So we have:   10^7/10^6   or 10^(7-6) = 10.   Choose 10.
Answer: B
In Town X, 64 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town X are females?
Choose the correct choice from the following:	A) 16%	B) 25%	C) 32%	D) 34%	E) 52%

Solution: We are asked to find the percentage of females in employed people.   Total employed people 64%, out of which 42 are employed males, hence 22% are employed females.   (employed females)/(total employed people)=22/64=34%   Answer: 34%.
Answer: D
If in a kindergarten class, there are five children 3 feet 4 inches tall (indicated by notation 3'4"), two children 4'3" tall and thirteen children 2'7" tall, which of the following is the median height of the children?
Choose the correct choice from the following answers:
A) 2'2" B) 2'7" C) 3'3" D) 3'4" E) 4'3

Solution: Total number of children in class = 20   so median must be between 10th and 11th child when they are arranged in ascending order.   When arranged in ascending order 5th and 6th child will have the height of 3'4"   so required median height = (2'7"+2'7")/2 = 2'7"   Ans:Option 2'7"
Answer: B
How many times digit 6 is used while writing numbers from 80 to 1000?	Choose the most appropriate option
A) 648  B) 300  C) 252  D) 225  E) 26

Solution: There are 100 numbers which begin with 600   Next, In every 10 numbers such as 100 to 110, 110 to 120, 120 to 130 6 comes at least once. Number of such intervals = End limit - First no. / interval. Our range of numbers is 100 - 1000   1000 - 100= 
1000 - 100 = 900
900/10= 
900/10 = 90
90   Number of 10s interval in this is 90. So 90 '6s'   So far we have calculated 190.   The total now comes to 280. The nearest to which is 225. Hence 225.
Answer: D
A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year? Choose one:
A) 25600.24  B) 25600.28  C) 25600.17  D) 25600.28  E) 25600.22

Solution: 6 1/4% = 1/16   x *15/16 * 15/16 * 15/16 = 21093   x = 25600.24   25600.24nswer: 25600.24
Answer: A