MU-NLPC/Calc-aqua_rat huggingface dataset:
What will be the compound interest on a sum of Rs. 22,000 after 3 years at the rate of 12% p.a.?
Choose the correct choice from the following answers
A) s.8908.41
B) s.1823.20
C) s.6123.20
D) s.10123.29
E) s.10123.28

Solution: Explanation:   Amount = [22000 * (1 + 12/100)3]   = 22000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20   C.I. = (35123.20 - 22000) = Rs.8908.41   s.8908.41nswer:s.8908.41
Answer: A
What will be the area of a semi-circle of 14 metres diameter?	Choices.
A) 154 sq metres	B) 77 sq metres	C) 308 sq metres	D) 22 sq metres	E) None of these

Solution: Area of semicircle = ½πr2   = ½ × 22⁄7 × 7 × 7 = 77 m2   Answer 77 sq metres
Answer: B
Median W of price of the car is 52,000. which could be the median of the other two.
35000, 44000, x, y, 57000.
Options:  A) 38000  B) 47000  C) 48000  D) 51,000  E) 56,000

Solution: Median of the car is 52,000 therefore 52,000 is the middle number. Assuming Y >= X, X will have to be the median value i.e. 52,000. Therefore the remaining value would have to be between 52,000 and 57,000 inclusive. The only answer choice that fits is W=56,000.56,000
Answer: E
A man whose bowling average is 12.4, takes 6 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Choose the correct choice from the following answers
A) 113 B) 114 C) 115 D) 116 E) 117

Solution: 12.4*x+26=(6+x)12   solve equation x=115   ANSWER:115
Answer: C
Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?	Choose the most appropriate option:	A) 3	B) 4	C) 5	D) 6	E) 7

Solution: Calculate the differences, taking two numbers at a time as follows:     (215-47)= 
  (215-47) = 168
168   (365-215)= 
(365-215) = 150
150   (365-47)= 
(365-47) = 318
318   HCF of 168, 150 and 318 we get 6, which is the greatest number, which while dividing 47, 215 and 365 gives the same remainder in each cases is 5.   ANSWER:5
Answer: C
pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
Choices:	A) 6	B) 9	C) 5	D) 4	E) 1

Solution: x/18 + 12/24 = 1   x = 9   Answer:9
Answer: B
A set of football matches is to be organized in a "round-robin" fashion, i.e., every
participating team plays a match against every other team once and only once. If 6
matches are totally played, how many teams participated? Choose the correct choice from the following choices
A) 4	B) 5	C) 6	D) 7	E) 8

Solution: 2 ways to solve this problem..   summation(x)=n(n-1)/2   n(n-1)/2=6;   n^2-n-12=0   4ns : 4   4NSWER:4
Answer: A
Pooja is selling her books at puzzles land at a strange price as
* she sells her book "Vanity" at $30
* she sells her book "Sybil" at $25
* she sells her book "xmen" at $20
At what price does she sell her book "twilight" ? Choose the correct answer:
A) 54
B) 23
C) 40
D) 87
E) 20

Solution: 40   40   40ost of each alphabet is 5
Answer: C
Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 30 percent was planted with soybeans and 60 percent of the cleared land was planted with wheat. If the remaining 540 acres of cleared land was planted with corn, how many acres did the farmer own?	Choose the correct option.
A) 7200	B) 6000	C) 3500	D) 5000	E) 6200

Solution: 30% od 90% = 27%, 60% 0f 90% = 54% so the remaining  90-27-54= 
 90-27-54 = 9
9%=540 acres or 10% of 90%=9% --> 540/9*100=6000 acres Answer (6000)
Answer: B
John spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did John have left over? Answers
A) 30%	B) 32%	C) 45%	D) 68%	E) 70%

Solution: Say John's earning last month was $100.   John spent 40 percent of his earning last month on rent --> $40 on rent;   30 percent less than what he spent on rent to purchase a new dishwasher --> $40*0.7= 
40*0.7 = 28
$28 on the dishwasher.   Left over amount   100 - (40 + 28)= 
  100 - (40 + 28) = 32
$32.   Answer: 32%.
Answer: B
A shopkeeper sells 600 metres of cloth for Rs. 36000 at a loss of Rs.10 per metre. Find his cost price for one metre of cloth?
Pick:
A) s.59
B) s.58
C) s.09
D) s.70
E) s.13

Solution: SP per metre = 36000/600   = Rs. 60 Loss per metre   = Rs. 10 CP per metre = 60 + 10   = Rs.70   Answer: s.70
Answer: D
Double of Quarter of 6 percent written as a decimal is :
Choose the correct choice from the following choices.
A) 0.03  B) 0.0005  C) 0.25  D) 0.005  E) None of these

Solution: Explanation :   Solution: (2)*(1/4)*6% = 0.03   0.03nswer : 0.03
Answer: A
If x and y are positive, which of the following must be greater that 1/sqrt(x + y)?
I. sqrt(x + y)/2x
II. [sqrt(x) + sqrt(y)]/(x + y)
III. [sqrt(x) - sqrt(y)]/(x + y)	Choose the correct choice from the following answers:
A) None  B) I only  C) II only  D) I and II  E) III and II

Solution: solving i ) Y > X ( which could be true or false)   sloving ii) 2 Sqrt(xy) > 0 ( which is true-given x and y are positive)   solving iii) -2 Squrt(xy) > 0 ( which is false)   Therefore II only should be the answer.
Answer: C
In a triangle, one side is 6 Cm and another side is 4 Cm. which of the following can be the perimeter of the triangle? Choose the correct choice from the following answers.
A) 18.
B) 25.
C) 30.
D) 32.
E) 34.

Solution: Given : one side is 6 Cm and another side is 9 Cm. So the 3rd side will be > 3 and < 15. Thus the perimeter will be : 18 < perimeter < 30. Only option satisfying this condition is 18. Hence 18..
Answer: A
A man buys s cycle for $100 and sells it at a loss of 10%. What is the selling price of the cycle?  Choices
A) $50 B) $60 C) $70 D) $80 E) $90

Solution: S.P. = 90% of the $100 = 90/100 * 100= 
90/100 * 100 = 90
$90   Answer is $90
Answer: E
Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn
randomly. If it is known that the number on the drawn card is more than 3, what is the probability
that it is an even number?  Choose the correct option.
A) 3/7 B) 4/7 C) 6/7 D) 7/11 E) 8/11

Solution: Let A be the event ‘the number on the card drawn is even’ and B be the   event ‘the number on the card drawn is greater than 3’. We have to find P(A|B).   Now, the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}   Then A = {2, 4, 6, 8, 10}, 4/7 = {4, 5, 6, 7, 8, 9, 10}   and A n 4/7 = {4, 6, 8, 10}   Also P(A) = 5/2, P(4/7) = 7/10 and P(A n 4/7) = 4/10   Then P(A|4/7) = P(A n 4/7)/P(4/7) = (4/10)/(7/10)	= 4/7   4/7)
Answer: B
A small college reduced its faculty by approximately 13 percent to 195 professors. What was the original number of faculty members?
Choose the correct choice:
A) 182
B) 208
C) 224
D) 254
E) 302

Solution: f x is the original number of faculty members, then after 13% reduction in faculty members number is .87x   but we are given .87x = 195   x = 224   So the original number of faculty members is 224   224orrect Answer - 224
Answer: C
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?	Answers
A) 1/2 B) 2/5 C) 8/5 D) 9/20 E) none of these

Solution: Explanation:   Here, S = {1, 2, 3, 4, ...., 19, 20}.   Let E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.   P(E) =	n(E)/n(S)	= 9/20.   ANSWER : 9/20
Answer: D
A certain factory employed 600 men and 400 women and the average wager was Rs. 25.50 per day, If a woman got Rs. 5 less than a man, then what are their daily wages ?	Choose one:
A) 27.50,22.59
B) 27.50,22.50
C) 27.50,32.50
D) 27.70,22.59
E) 27.50,22.51

Solution: Explanation:   Let the daily wage of a man be Rs. x.   Then, daily wage of a woman = Rs. (x - 5).   Now, 600x + 400 (x - 5) = 25.50 * (600 + 400) <=> 1000x = 27500 <=> x = 27.50.   Man's daily wages = Rs. 27.50; Woman's daily wages = (x - 5) = Rs. 22.50.   Answer: 27.50,22.50) m:27.50 w:22.50
Answer: B
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?	Answers:  A) 73  B) 83  C) 12  D) 83  E) 28

Solution: Explanation:   T = 9/45 * 60= 
9/45 * 60 = 12
12   Answer: Option 12
Answer: C
At an elementary school, 60% of the faculty members are women and 60% of the faculty members are married. If 3/4 of the men are single, what fraction of the women are married?  Choose the correct choice from the following choices:	A) 5⁄7	B) 7⁄10	C) 1⁄3	D) 7⁄30	E) 5⁄6

Solution: 2X2 table works perfect:   --------------------M------W--------Total   Marrried---------10-----50---------60   Not married-----30-----10---------40   Total-------------40-----60--------100   need married woman/total woman, so 50/60=5/6   5⁄6
Answer: E
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle? Choose one:	A) 20	B) 30	C) 40	D) 50	E) 60

Solution: The circumference of the circle is equal to the permeter of the rectangle.   Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5   => x = 1   Therefore l = 6 cm and b = 5 cm Area of the rectangle = 6 * 5= 
6 * 5 = 30
30 cm2   Answer: Option 30
Answer: B
After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percentage above the cost price does he mark on his goods? Choose the correct choice from the following answers.
A) 28.56%	B) 35%	C) 22.22%	D) None of these	E) Cannot be determined

Solution: Explanation :   Let Y be the Selling price.   So, x + (14.28x / 100) = y - (11.11y / 100).   Or y = 1.2856x   Or y = 128.56x/100   Or y = x + 28.56x/100   Hence, 28.56% above the cost price he marks his goods.   28.56%nswer : 28.56%
Answer: A
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?  Choose the correct choice:
A) Rs.600	B) Rs.500	C) Rs.250	D) Rs.700	E) Rs.800

Solution: Cost price = Rs.500   profit = 20% of 500 = Rs.100   Selling price = Cost price + Profit   = 500 + 100= 
500 + 100 = 600
600   Rs.600NSWER:Rs.600
Answer: A
The volume of a sphere with radius r is (4/3)*pi*r^3 and the surface area is 4*pi*r^3. If a sperical balloon has a volume of 4500 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?	Choices
A) a. 40	B) b. 100	C) c. 400	D) d. 1,000	E) e. 2,000

Solution: The surface area is 4.pi.r^2 (its area remember not volume)   as 4/3.pi.r^3=4500pi   r=15   so area = 4.pi.r^2= 900.pi= 900 x 3.14 = 2000 (approx)   e. 2,000
Answer: E
By selling 33 metres of cloth , one gains the selling price of 11 metres . Find the gain percent .
Choose the correct choice from the following choices:
A) 20 B) 30 C) 40 D) 50 E) 60

Solution: Sol:   (SP of 33m)-(CP of 33m)=Gain=SP of 11m   SP of 22m = CP of 33m   Let CP of each metre be Re.1 , Then, CP of 22m= Rs.22,SP of 22m=Rs.33.   Gain%=[(11/22)*100= 
(11/22)*100 = 50
50%   option 50
Answer: D
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is :
Choose the correct choice from the following options:
A) 48
B) 52
C) 58
D) 66
E) None

Solution: Sol.   Relative sped = (60 + 90) km/hr   = [150 * 5/18] m/sec = [125 / 3] m/sec.   Distance covered = (1.10 + 0.9)= 
(1.10 + 0.9) = 2
2 km= 2000 m.   Required time = [2000 * 3/125= 
2000 * 3/125 = 48
48 sec.   48nswer 48
Answer: A
The length of the longest rod that can fit in a cubical room of 4 m side is? Choose the correct choice from the following:
A) 7.256 m	B) 6.928 m	C) 8.524 m	D) 10.256 m	E) 11.823 m

Solution: 4 root(3)= 6.928 m   ANSWER 6.928 m
Answer: B
A mixture contains alcohol and water in the ratio 4:3. If 5liters of water is added to the mixture, the ratio becomes 4:5. Find the quality of alcohol in the given mixture.  Choose one
A) 10
B) 8
C) 7.5
D) 6
E) 3.5

Solution: Let the quantity of alcohol and water be 4x and 3x   4x/(3x+5) = 4/5   20x = 4(3x+5)   x=2.5   Quantity of alcohol = 4*2.5= 
4*2.5 = 10
10liters.   10nswer is 10
Answer: A
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?	Choose the correct choice from the following choices.
A) 1/3
B) 1/5
C) 1/0
D) 1/2
E) 1/1

Solution: 3h = 5c   6c = 10s   1/3 = 21h*3 + 15c*2   = 63h + 30c   = 105c + 30c = 135c   B 105  + 30= 
105  + 30 = 135
135c   B= 15c*6 + 40s*7 1/2   = 90c + 300s   = 90c + 180c = 270c   1/3:B 90  + 180= 
90  + 180 = 270
270c   1/3:B= 135:270   27:52   1/3 = 27/79 = 1/3   1/3nswer: 1/3
Answer: A
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?	Options:
A) 6/11
B) 6/13
C) 6/15
D) 7/11
E) 7/13

Solution: Part filled by (A + B + C) in 3 minutes = 3 1	+	1	+	1 = 3 x	11 =	11	.   30	20	10	60	20   Part filled by C in 3 minutes =	3	.   10   Required ratio = 3/10	x	20/11 =	6/11	.   6/11nswer 6/11)
Answer: A
If a fair die is rolled six times, what is the probability that a 3 occurs on at least one roll?
Pick one:
A) 25/36 B) 125/216 C) 425/639 D) 11/36 E) 36/216

Solution: Questions such as these that talk aboutat leastormaximumorminimumin probability questions should make sure realize that probability of any event (N) to occur = 1- P(Not N)   Thus, the probability of at least 1 roll = 1- Probability of NO 3s = 1- (5/6)(5/6)(5/6)(5/6)(5/6)(5/6) = 1-214/639 =425/639.   5/6 is the probability of NOT getting a 3 in any 1 roll with 5 allowed numbers (=1,2,4,5,6) out of a total of 6 possibilities.   425/639 is thus the correct answer.
Answer: C
What is the greatest positive integer n such that 3^n is a factor of 36^150?	Choose the correct option:
A) 100
B) 200
C) 300
D) 600
E) 900

Solution: 36 = 3^2 * 2^2.   36^150 = 3^300 * 2^300   The answer is 300.
Answer: C
Annie has 100 cards numbered 1 through 100. If she deals nine cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?	Options: A) 95!/100! B) 9!/100! C) (92! X 9!)/100! D) (96! X 5!)/100! E) (97! X 4!)/100!

Solution: Alex to get 9 consecutive cards in ascending order, to have 9 consecutive at the end is good enough.   There are 92 consecutive numbers in 100: {1, 2, 3, 4, 5,6,7,8,9}, {2, 3, 4, 5, 6,7,8,9,10}, ..., {92,93,94,95,96, 97, 98, 99, 100};   Total ways to pick 9 cards out of 100 is {9!*92!}{100!}.   Answer: (92! X 9!)/100!.
Answer: C
If -1<x<0, what is the median K of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3  Pick one:
A) 1/x  B) x^2  C) x^2(x+1)/2  D) K=x(x^2+1)/2  E) x^2/2x

Solution: My approach: Put any value between -1 and 0. you will get the answer. lets say 0.5. so the list will be as follows:   -8,-2,-0.5,-0.125 and last two numbers will be positive so need to see that.   median will be between -0.5 and -0.125.   So, (x^3+x)/2 (K=x(x^2+1)/2).
Answer: D
I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?  Select.
A) 21 B) 25 C) 15 D) 19 E) None of them

Solution: Let the distance be x km. Then,   (Time taken to walk x km) + (time taken to ride x km) =37 min.   (Time taken to walk 2x km ) + ( time taken to ride 2x km )= 74 min.   But, the time taken to walk 2x km = 55 min.   Time taken to ride 2x km = (74-55)= 
(74-55) = 19
19 min.   Answer is 19.
Answer: D
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?	Choose the most appropriate option:
A) 5 kmph
B) 7 kmph
C) 8 kmph
D) 9 kmph
E) 4 kmph

Solution: US = 25   DS = 35   M = (35 - 25)/2= 
(35 - 25)/2 = 5
5   5 kmphnswer:5 kmph
Answer: A
If the set S is composed of the following numbers {99, 100, 100, 105, 106, 113, 126}, which of the following is largest?  Pick one
A) The average (arithmetic mean) of set S	B) The median of set S	C) The mode of set S	D) The range of set S	E) The standard deviation of set S

Solution: A) 99, 100, 100, 105, 106, 113, 126 = 749 and its mean is   749/7= 
  749/7 = 107
107.   B) The list is of 7 numbers and median is 105.   C) Mode is number of repetition of a number in the list , here it is 100.   D) Range= Max value - min value = 126 -99= 
126 -99 = 27
27.   E) SD= square root of (sum of ( mean of series - number)^2 ) / n =>< 100   IMO option The average (arithmetic mean) of set S is correct answer..
Answer: A
A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?	Select the correct option:
A) 50
B) 70
C) 100
D) 150
E) 200

Solution: 50+B+C = 500   50+C = 200   B+C = 350   50+B+2C = 550   50+B+C = 500   C =50   50NSWER 50
Answer: A
On a weekend, 8 friends went to the beach and evenly split the cost of their beach house. If the amount paid by each person was an integer, which of the following could not have been the cost of the beach house?
Choose the correct choice from the following.
A) $200
B) $149
C) $184
D) $328
E) $216

Solution: Each of the seven persons evenly splitting the cost is an integer amount, therefore check the divisibility by 8 for all answer choices.   200/8= 
200/8 = 25
25   149/8= 18.63   184/8= 
184/8 = 23
23   328/8= 
328/8 = 41
41   216/8= 
216/8 = 27
27   B is not an integer amount.   Answer:$149
Answer: B
By how much is 3/5th of 875 greater than 2/3 of 333?  Select the correct option.
A) 239
B) 303
C) 288
D) 127
E) 191

Solution: Explanation:   3/5th of 875 is greater than 2/3rd of 333   = 3/5 * 875 - 2/3 * 333   = 525 - 222= 
525 - 222 = 303
303.   Answer: 303
Answer: B
John's mom gave john and his four friends a 1 liter jar of lemonade to share among themselves.
each friend gets a glass and each glass can hold 20 centiliters of lemonade .
How long will it take John to share the lemonade if filling one cup took 5 seconds ?
Choose the correct choice from the following options
A) 100 seconds	B) 65 seconds	C) 23 seconds	D) 25 seconds	E) 1 second

Solution: It takes five seconds to fill one glass, to fill five glasses equally will take 25 seconds. The answer is 25 seconds
Answer: D
A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 300. How much did he have with him in the beginning?	Answers
A) s 200  B) s 750  C) s 300  D) s 450  E) s 550

Solution: Suppose the amount in the beginning was Rs ’x’   Money spent on clothes = Rs 1x/3 s 750alance = Rs 2x/3   Money spent on food = 1/5 of 2x/3 = Rs 2x/15   s 750alance = 2x/3 - 2x/15 = Rs 8x/15   Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5   Therefore 2x/5 = 300 = 750   ANSWER:s 750
Answer: B
John invested some money in 5% stock at 100.If David wants to invest in an equally good 10% stock ,he must purchase a stock worth of : Choose the correct choice from the following answers:
A) Rs. 250	B) Rs. 200	C) Rs. 220	D) Rs. 100	E) Rs. 180

Solution: Solution   For an income of Rs. 5, investment = Rs. 100   For an income of Rs. 10, investment = Rs.(100/5x10) = Rs. 200   Answer Rs. 200
Answer: B
Dairy's Ice Cream Shop sells ice cream at a cents a scoop. For an additional b cents, a customer can add 6 toppings to his or her sundae. How much would a sundae with 6 scoops and 6 toppings cost, in terms of a and b?
Choose the correct option:  A) 6a+2b  B) 6a+3b  C) 5a+b  D) 4a+b  E) 6a+b

Solution: Answer 6a+b 6a+b
Answer: E
1/3 of girls , 1/2 of boys go to canteen .What factor and total number of classmates go to canteen.  Choose the correct choice from the following choices.
A) 1/5 B) 1/4 C) 1/3 D) 2/5 E) 2/3

Solution: let total girls be 3 ...   and total boys be 2 ...   so total girls going to canteen = 1   boys going to canteen = 1   total no. of classmates = 5(only suppose......to find out the factor of students going to canteen...)   factor of classmates going to canteen=2/5.   ANSWER:2/5
Answer: D
The area of a square is 4624 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.	Choose one:	A) 5:28	B) 5:19	C) 5:12	D) 5:13	E) 11:34

Solution: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.   a2 = 4624   a 68   L = 2a and b = a - 24   b : l = a - 24 : 2a = 44 : 136   = 11:34   Answer:11:34
Answer: E
The distance from City A to City B is 220 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?	Choose the correct choice from the following options
A) 44  B) 48  C) 50  D) 52  E) 54

Solution: The time it takes Bob to drive to City B is 220 / 40= 
220 / 40 = 11/2 = around 5.5
5.5 hours.   Alice needs to take less than 5 hours for the trip.   Alice needs to exceed a constant speed of 220 / 5= 
220 / 5 = 44
44 miles per hour.   The answer is 44.
Answer: A
Of the goose eggs laid at a certain pond, 1/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?	Choose the correct choice from the following options
A) 1000 B) 1200 C) 1400 D) 1600 E) 1800

Solution: Let x be the number of eggs that were laid.   (2/5)(3/4)(1/3)x = 120   (6/60)x = 120   x = 1200   The answer is 1200.
Answer: B
If log 64 = 1.8061, then the value of log 16 will be (approx)?	Choose the most appropriate option:
A) 1.204
B) 1.9874
C) 1.3564
D) 1.2547
E) 1.6547

Solution: Log 64 = 1.8061   log4^3 = 1.8061   log4 = 0.6020   2log4=1.2040   log4^2=1.2040   log16=1.2040(approx)   1.204NSWER 1.204
Answer: A
If x=kc and y=kt,then y+2x =?  Select.
A) k(t-c)  B) k(c-t)  C) k(t+2c)  D) t(k-c)  E) k(1-t)

Solution: Just put in the given values of y and x   y +2x = kt +2 kc   Now take k common   y +2 x = k(t +2c)   You get (k(t+2c)) as your answer.
Answer: C
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?  Pick one:
A) 64
B) 23
C) 32
D) 45
E) 80

Solution: We may have(1 black and 2 non-black) or (2 black and 1 non-black) or (3 black).   Required number of ways	= (3C1 x 6C2) + (3C2 x 6C1) + (3C3)=>64   64NSWER 64
Answer: A
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.798 find the share of A.	Choose the correct option:
A) 240	B) 388	C) 379	D) 304	E) 122

Solution: Explanation:   (3*8 + 2*4):(4*8 + 5*4)   8:13   8/21 * 798= 
8/21 * 798 = 304
304   Answer: 304
Answer: D
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?  Choices:
A) 7%	B) 3%	C) 9%	D) 4%	E) 2%

Solution: SP of first article = 1000   Profit = 20%   CP = (SP)*[100/(100+P)] = 5000/6 = 2500/3   SP of second article = 1000   Loss = 20%   CP = (SP)*[100/(100-L)] = 5000/4= 
5000/4 = 1_250
1250   Total SP= 2000   Total CP = 2500/3 + 1250 = 6250/3   CP is more than SP, he makes a loss.   Loss = CP-SP = (6250/3)- 2000 = 250/3   Loss Percent = [(250/3)/(6250/3)]*100   =0.04 * 100= 
0.04 * 100 = 4
4%   Answer: 4%
Answer: D