MU-NLPC/Calc-aqua_rat huggingface dataset:
How many ounces of a 60% salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?	Choose the correct choice from the following:
A) 16.67 B) 30 C) 50 D) 60.33 E) 70

Solution: let x=ounces of 60% salt solution to be added   .2*70+.6x=.4(70+x)   x=70   Answer 70
Answer: E
A field is 90 metre long and 50 metre broad. A 25 metre long, 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field. How much the level of field will rise?	Choices.
A) 0.5 metre B) 0.3 metre C) 0.8 metre D) 0.6 metre E) 0.7 metre

Solution: 0.5 metrerea of field = 90 x 50 = 4500 m2   0.5 metrerea of field dug out = 25 x 20 = 500 m2   Therefore, 0.5 metrerea of remaining field = 4500 m2 - 500 m2 = 4000 m2   Volume of the earth dug out = 25 x 20 x 4 = 2000 m3   Therefore, Field will rise by   2000/4000= 
  2000/4000 = 1/2 = around 0.5
0.5 metre   0.5 metrenswer 0.5 metre
Answer: A
A shopkeeper purchased 70 kg of potatoes for Rs.420 and sold the whole lot at the rate of Rs 6.50 per kg .What will be his gain percent?
Options.
A) 8 1/9	B) 8 1/1	C) 8 1/3	D) 8 1/7	E) 8 1/4

Solution: Explanation:   Price per 1 kg = 4207042070 = Rs.6.   Profit per 1 kg = Rs.6.5 – Rs.6 = Rs.0.5   Profit for 70 kg = 0.5 × 70 = Rs.35   Gain % = 3542035420 × 100= 8.33% = 8 1/3   Answer: 8 1/3
Answer: C
Perimeter of rhombus is equal to perimeter of circle. Longest distance between two points in rhombus is 80. Area of rhombus is 2400 cm^2. Find area of circle.
Options: 10000, 62500, 2500, one more I don't Remember.
Choose the correct choice from the following choices.
A) 3284.28678	B) 3184.28678	C) 3084.28678	D) 4184.28678	E) 2184.28678

Solution: Let Diagonals of Rhombus are p,q and side is a .   Let Longest side is one of the p and q, let its p=80;   Area of a Rhombus is A =p*q/2   A=2400   2400=80 *q /2   4800=80q=> q=60   4a^2 =60^2 + 80^2   4a^2=10,000=> a=>50   Given: Perimeter of R = Perimeter of Circle   4a = 2*3.14* r=> r=31.84   Area of circle = 3.14* r^2 = 3184.28678   ANSWER:3184.28678
Answer: B
The simple interest at y% for y years will be $y on a sum of	Choose the correct choice from the following answers.
A) $ (1000)/x  B) $(100)x^2  C) $ x  D) $ (100)/y  E) $ 100x

Solution: Principal =$(100*y)/(y*y)=$(100/y).   Answer is $ (100)/y
Answer: D
The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Pick.
A) 6 2/3%  B) 6 2/8%  C) 6 7/3%  D) 9 2/3%  E) 6 2/5%

Solution: 4/9 P = (P*R*R)/100   R = 20/3   = 6 2/3%   6 2/3%nswer:6 2/3%
Answer: A
If 20 men take 15 days to to complete a job, in how many days can 20 men finish that work?
Choose the correct choice from the following options:
A) 15  B) 16  C) 17  D) 18  E) 19

Solution: Ans. 15 days
Answer: A
When a number is divided by 3 &then multiply by 12 the answer is 9 what is the no.?  Choices:
A) 4.5
B) 5
C) 2.25
D) 5.7
E) 6.5

Solution: if $x$ is the number, x/3 * 12 = 9   => 4x = 9   => x = 2.25   2.25
Answer: C
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:	Choose the correct answer
A) 17523	B) 2788	C) 1750	D) 2787	E) 29899

Solution: Explanation:   1750.I.= Rs.[4000*(1+10/100)^2-4000]   =Rs.840   sum=Rs.(420 * 100)/3*8=Rs.1750\   Answer: 1750) Rs,1750
Answer: C
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 5)%. In terms of x, how many species of bacteria will the group be able to model?  Choose the correct choice from the following choices:
A) x*x – 5x	B) (x)(105 – x)	C) (100)(105 – x)	D) (100)(95 – x)	E) (x-5)/100

Solution: Let's say that x = 10   So 10% of 10,000 = 1,000 types of bacteria   After the budget cuts, this 1,000 is reduced by (10-5)= 
(10-5) = 5
5%   5% of 1,000= 50   1,000 - 50 = 950   Plug x=10 into the answers and find 950.   Answer:(x)(105 – x)
Answer: B
A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 5 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?	Pick
A) 2  B) 9  C) 15  D) 21  E) 30

Solution: Let the duration, in minutes, for which the company charges the same under plan A and plan B be t minutes.   Then under plan A the cost would be $0.6+0.06(t-5) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t-5)=0.08t --> 60+6(t-5)=8t --> t=15.   Answer: 15.
Answer: C
Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 9 hours respectively. The ratio of their speeds is	Choose the correct choice from the following:
A) 3 : 2
B) 4 : 3
C) 4 : 7
D) 8 : 5
E) None

Solution: Sol.   Let us name the trains as A and B. Then,   (A's speed) : (B's speed) = √b : √a   = √9 : √4   = 3 : 2.   3 : 2nswer 3 : 2
Answer: A
father is aged three times more than his son ronit. after 8 years, he would be two and half times if ronit's age. after further 8 years , how many times would he be of ronit's age?  Choose the correct choice from the following choices:
A) 2 times
B) 2.5 times
C) 3 times
D) 3.8 times
E) 4 times

Solution: ronit's present age be x years . then, father's present age= (x+3x)years= 4x years   therefore (4x + 8) = 5/2 (x + 8)   8x + 16 = 5x + 40   3x = 24 , x= 8, ratio = (4x + 16)/(x + 16)= 48/24= 
48/24 = 2
2,   correct answer (2 times)
Answer: A
What is the perimeter, in meters, of a rectangular garden 16 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?	Choose the most appropriate option.
A) 48
B) 56
C) 60
D) 56
E) 192

Solution: Say Length of garden is L meters.   Then (L*16) = 16 * 12 [Given area is same. Area= L * B]   Therefore L works out to 12 meters.   Perimeter of Garden = 2* (12+16)= 
2* (12+16) = 56
56 meter.   Answer is 56
Answer: D
To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
Choose the correct choice from the following choices:
A) 600
B) 500
C) 575
D) 655
E) 675

Solution: Let x be the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made:   3⋅25+(x−3)⋅30=75+30(x−3)   Therefore: 25x=75+30(x−3)−100   25x=75+30x−90−100   190−75=30x−25   115=5x   x=23   So the company worked 23 days and they made 23⋅25+100=675 pieces.   So answer is 675.
Answer: E
In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies? Choices:
A) 451	B) 124	C) 531	D) 145	E) 200

Solution: (3 men out 6) and (2 ladies out of 5) are to be chosen.   Required number of ways = (6c3x5c2)   = [6x5x4/3x2x1] x [5x4/2x1] = 200.   Ans: 200
Answer: E
For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[4] equivalent to?
Choose the correct choice from the following options
A) [108]  B) [54]  C) [36]  D) [27]  E) [18]

Solution: [9]*[4] = 27*2= 
27*2 = 54
54= (1/2)(108) =[108]   The answer is [108].
Answer: A
A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 890 in 4 years. The rate of interest per annum is?
Pick:	A) 2 1/2 %	B) 4%	C) 5%	D) 6 2/3 %	E) 11 1/4%

Solution: S.I. on Rs. 800 for 1 year = (890 - 800) = Rs.90 Rate = (100 * 90)/(800 * 1) = 11 1/4%   ANSW11 1/4%R:11 1/4%
Answer: E
X Y
+Y X
________
The sum of the two digit numbers above is a three digit number PQ1, where each letter X, Y, P, and Q represents a different non zero digit. Which of the following can be the value of X?
I)	7
II)	8
III)	9	Choose the correct choice
A) I only B) II only C) III only D) I and II only E) all I , II and III

Solution: it can be a combination of 9,2 or 8,3 or 7,4   I choose all I , II and III as an answer.
Answer: E
What is the probability that a leap year has 53 Sundays and 52 Mondays?  Pick:
A) 1/9 B) 1/8 C) 1/3 D) 1/7 E) 1/2

Solution: A leap year has 52 weeks and two days   Total number of cases = 7   Number of favourable cases = 1   i.e., {Saturday, Sunday}   Required Probability = 1/7   Answer:1/7
Answer: D
Machine Z can produce x units in 3/4 of the time it takes machine N to produce x units. Machine N can produce x units in 2/3 the time it takes machine O to produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N? Choices:
A) 1/2
B) 1/3
C) 4/13
D) 8/29
E) 6/33

Solution: Let the following be true:   Z makes x in time t   Then the following follows:   N makes x in 4t/3   O makes x in 3/2(4t/3) = 2t   M:N:O = 1:4/3:2=3:4:6   So N=4/(3+4+6)=4/13=4/13
Answer: C
If cement, gravel and sand are to be mixed in 7:10:13 and 7 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.	Answers
A) 35 7/8 B) 30 C) 34 2/7 D) 34 5/7 E) 34 6/7

Solution: Cement:Gravel:Sand = 7:10:13 --> total of   7+10+13= 
  7+10+13 = 30
30 parts.   If we use 7 tons of cement, then we'll get  7/7*30= 
 7/7*30 = 30
30 tons of mixture.   Answer: 30.
Answer: B
If the cost price is 90% of the selling price, then what is the profit percent?  Options.
A) 5%  B) 11%  C) 13%  D) 21%  E) 19%

Solution: Let S.P. = $100   C.P. = $90   Profit = $10   Profit% = 10/90 * 100 = 25/6 = 11% approximately   Answer is 11%
Answer: B
If w and y are positive integer and w/y is an even integer, which of the following can be an odd integer?
Select the correct option: A) x B) xy C) x−y D) x+2y E) w/3

Solution: C w-Y   Let says w =12 Y=3 iT BECOMES w-Y =9 This is odd True   w = 12 Y = 6 THEN w-Y = 2, Which is even hence this is False.   so both Yes and NO situations are exists for this Option. C can't be the correct answer same logic goes for E. I believe this question is incomplete b'coz of Irrelevant Options.
Answer: E
Which of the following is equal to 3.14 x 10^6) ?	Select:
A) 3.14 B) 3140000 C) 31400 D) 314 E) 314000

Solution: = 3.14 x 10^6   = 3.14 x 1000000   = 3140000.   Answer is 3140000.
Answer: B
9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days? Choose the correct choice
A) 19 days  B) 18 days  C) 12 days  D) 27 days  E) 26 days

Solution: 9M + 12B ----- 12 days   12M + 12B ------- 10 days   10M + 10B -------?   108M + 144B = 120M +120B   24B = 12M => 1M = 2B   18B + 12B = 30B ---- 12 days   20B + 10B  18  + 12= 
 18  + 12 = 30
30B ---- 12 days   20B + 10B = 30B -----?   20  + 10= 
  20  + 10 = 30
30B -----?=> 12 days   Answer: 12 days
Answer: C
A box contains 10 tablets of medicine A and 17 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Choose the correct choice from the following answers
A) 12 B) 15 C) 17 D) 19 E) 21

Solution: The worst case scenario will be if we remove all 17 tablets of medicine B first. The next 2 tablets we remove have to be of medicine A, so to guarantee that at least two tablets of each kind will be taken we should remove minimum of   17+2= 
  17+2 = 19
19 tablets.   Answer:19.
Answer: D
Which is better investment 11% stock at 143 or 9 Â¾% stock at 117
Pick:
A) 11 % stock at 143	B) 9 3/4 stock at 117	C) both	D) cannot be compared	E) none of these

Solution: Let the investment in each (143*117)   Income in first case = (11/143*143*117)= 
(11/143*143*117) = 1_287
1287   Income in second case=((39/117*4)*143*117)=1394.25   Clearly, 9 Â¾% stock at 117   ANSWER 9 3/4 stock at 117
Answer: B
96% of the population of a village is 23040. The total population of the village is?	Choose the correct choice from the following choices
A) 26799
B) 24000
C) 26682
D) 29973
E) 12312

Solution: X * (96/100) = 23040   X = 240 * 100= 
240 * 100 = 24_000
24000   Answer: 24000
Answer: B
Simplify:935421 x 625  Answers:  A) 594983125  B) 584932715  C) 584938125  D) 584638125  E) 584641258

Solution: 935421 x 625 = 935421 x 54 = 935421 x (10/2)^ 4   935421 x 10^4/2^4=9354210000/16= 
9354210000/16 = 584_638_125
584638125   Answer is 584638125
Answer: D
1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $90, a 10% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?	Select:	A) 88.1	B) 89.0	C) 89.1	D) 89.50	E) 90.0

Solution: 1. Internet: $80, with no sales tax, plus $10 shipping fee --> 80+10=90;   2. Store X: $90, a 10% discount, plus 10% tax on discounted price --> 90*0.9*1.1  --  80+10= 
  --  80+10 = 90
90;   2. Store X: $90, a 10% discount, plus 10% tax on discounted price --> 90*0.9*1.1=89.1   3. Store Y: $90, no tax --> 90;   4. Store Z: $90, a 10% sales tax, and $10 rebate after tax --> 90*1.1-10  --  90*0.9*1.1= 
  --  90*0.9*1.1 = 89.1
89.1   3. Store Y: $90, no tax --> 90;   4. Store Z: $90, a 10% sales tax, and $10 rebate after tax --> 90*1.1-10=89.   So the lowest price is $89.   Answer: 89.0.--  90*1.1-10= 
--  90*1.1-10 = 89
89.   So the lowest price is $89.   Answer: 89.0.
Answer: B
3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 2 men and 3 women will do that task.	Choose the correct choice from the following options:  A) 1/2  B) 1/10  C) 1/18  D) 1/16  E) 1/11

Solution: 3 m + 8 w = 6 m + 2 w   3 m = 6 w   1 m = 2 w   Therefore 3 m + 8 w = 14 w   2 m + 3 w =7 w   1/2nswer is 7/14 =1/2   1/2nswer: 1/2
Answer: A
There are 10 cans in the refrigerator. 5 of them are red and 5 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.	Choose the correct choice.
A) 410 B) 490 C) 493 D) 455 E) 445

Solution: 410nswer: 410.
Answer: A
If W is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of W?	Choose the correct option:	A) 10	B) 12	C) 14	D) 16	E) 18

Solution: W = 30!   8   W = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1   Out of these 30 , 27 , 24 , 21 , 18, 15 , 12 , 09 , 06 , 3 are factors of 3   3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2, 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3   So we have a total of 14 three's ...   Therefore the maximum value of K can be 14 (14)
Answer: C
At what rate percent per annum will a sum of money double in 6 years.
Choose the correct choice from the following choices.
A) 12.5%  B) 13.5%  C) 11.5%  D) 14.5%  E) 16.6%

Solution: Let principal = P, Then, S.I.=P and Time=8 years   Rate = [(100 x P)/ (P x 6)]% = 16.6% per annum. Answer: 16.6%
Answer: E
What decimal fraction is 70 ml of a litre ?  Choose the correct choice from the following answers.
A) .7 B) .07 C) .05 D) 0.07 E) None of these

Solution: Answer   Required fraction = 70/1000   = 7/100= 
7/100 = 7/100 = around 0.07
.07   Correct Option: .07
Answer: B
There are 8 baskets numbered from 1 to 8 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. If there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?  Select the correct option
A) 640	B) 680	C) 720	D) 760	E) 800

Solution: Each child takes a total of 1+2+3+4+5+6+7+8 = 8*9/2= 
8*9/2 = 36
36 apples.   The total number of apples taken by 10 children is  10*36= 
 10*36 = 360
360   The number of apples left in the end is  1000 - 360= 
 1000 - 360 = 640
640 apples.   The answer is 640.
Answer: A
If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 9, Find x and y ? Choose the most appropriate option:
A) x=4,y=8
B) x=4,y=9
C) x=4,y=7
D) x=4,y=9
E) x=5,y=8

Solution: 4+8= 
4+8 = 12
12   when reversed 21   21-12= 
21-12 = 9
9   x=4,y=8   x=4,y=8NSWER:x=4,y=8
Answer: A
The food in a camp lasts for 40 men for 35 days. If ten more men join, how many days will the food last?	Options: A) 34days B) 32days C) 30days D) 28days E) 26days

Solution: one man can consume the same food in 40*35= 
40*35 = 1_400
1400 days.   10 more men join, the total number of men= 50   The number of days the food will last = 1400/50= 
1400/50 = 28
28 days.   Answer: 28days
Answer: D
The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ? Select.
A) 71 years	B) 72 years	C) 73 years	D) 74 years	E) 75 years

Solution: Answer : A.   Required sum = (80 - 3 x 3) years = (80 - 9)= 
(80 - 9) = 71
71 years.
Answer: A
If (x+4)^2/(x+10)=8, then the difference between the two possible values of x is:  Choose the correct answer:
A) 2 B) 6 C) 12 D) 16 E) 24

Solution: (x+4)^2/(x+10)=8   (x+4)^2=8(x+10)   x^2+8x+16=8x+80   x^2-64=0   (x-8)(x+8)=0   x=8 or x=-8   The answer is 16.
Answer: D
If m and n are nonzero integers and 390m = 150n, then mn must be divisible by
Select the correct option: A) 10 B) 45 C) 50 D) 65 E) 75

Solution: 390m = 150n;   m/n = 5/13.   m is a multiple of 5 and n is a multiple of 13, therefore mn must be a multiple of 5*13= 
5*13 = 65
65.   Answer: 65.
Answer: D
A is the average (arithmetic mean) of the first 7 positive multiples of 6 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?	Choose the correct choice.
A) 8	B) 10	C) 12	D) 16	E) 24

Solution: If A^2 - B^2 = 0, then let's assume that A = B.   A must equal the 4th positive multiple of 4, thus A = 24, which also equals B.   B is the second positive multiple of n, thus n = 24/2= 
24/2 = 12
12.   The answer is 12.
Answer: C
Two pipes P and Q can fill a cistern in 10 and 25 minutes respectively. Both are opened together, but at the end of 5 minutes the first is turned off. How much longer will the cistern take to fill?
Choose the correct option:
A) 12 1/7
B) 12 1/4
C) 12 1/3
D) 12 1/2
E) 12 1/5

Solution: 5/10+ x/25 = 1   x= 12 1/2 Answer: 12 1/2
Answer: D
4 litres of water is mixed in certain amount of pure milk whose cost is Rs. 3 per litre. If the dishonest milkman earns a profit of 20% by selling the mixture at initial price then what is the quantity of pure milk obtained by the customer?	Choose the correct choice: A) 24 B) 20 C) 18 D) 25 E) None of these

Solution: cost given = Rs 3/ltr.   i.e cost earned through water mixture= 4*3= 
4*3 = 12
12 rs   therefore earned 20%, that is on water .. therefore total earned= 12*100/20= 
12*100/20 = 60
60 rs.   hence 60/3= 
60/3 = 20
20 ltr overall mixture!   ANSWER:20
Answer: B
When two coins are tossed,Find the probability of getting all tails?	Choose one:
A) 1/3
B) 3/4
C) 1/8
D) 3/8
E) 1/4

Solution: When two coins are tossed,   S = {HH, HT, TH, TT} where H = Head and T = Tail   Let 1/4 = event of getting all tails   Then 1/4 = {TT}   so, P(1/4) = n(1/4)/n(S) =1/4
Answer: E
Ravi purchased 20 dozens of toys at the rate of Rs. 340 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?	Choose one:
A) 16.4%  B) 1.2%  C) 5.6%  D) 34.1%  E) 12.2%

Solution: A   C.P. of 1 toy = 340/12 = Rs. 28.3   S.P of 1 toy = Rs. 33   Profit = 4.6/31.25 * 100 = 16.4%   16.4%nswer is 16.4%
Answer: A
Let x, y and z be distinct integers, x and y are odd and positive, and z is even and
positive. Which one of the following statements cannot be true?
Choose the correct choice from the following answers:
A) (x – z)^2 * y is even
B) (x – z)*y^2 is odd
C) (x – z)*y is odd
D) (x – y)^2 * z is even
E) none

Solution: Explanation :   Let x = 5, y= 3, z = 2 (according to the given condition)   (x – z)2 * y :- ( 5 - 2)2 * 3 = 27   (x – z) * y2 :- (5 - 2) * 32 = 27   (x – z) * y :- (5 - 2) * 3 = 9.   (x – y)2 * z :- (5 - 3)2 * 2 = 8.   (x – z)^2 * y is evennswer : (x – z)^2 * y is even
Answer: A
Boy sells a book for Rs. 450 he gets a loss of 10%, find CP of the book?  Pick:
A) Rs.300
B) Rs.400
C) Rs.500
D) Rs.550
E) Rs.600

Solution: Find cost price   Let C.P. of book = x and S.P. = Rs. 450   S.P. of book = C.P. – (10% of C.P.)   S.P. = x – (0.10x)   450 = 0.9 x   x i.e cost price = Rs.500   Rs.500
Answer: C
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder? Choose the correct choice from the following options.
A) 520 sq cm  B) 840 sq cm  C) 440 sq cm  D) 120 sq cm  E) 5 sq cm

Solution: Explanation:   r = 7 h = 3   2πr(h + r) = 2 * 22/7 * 7(10) = 440 sq cm   Answer: 440 sq cm
Answer: C
What will $2000 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?	Choose the correct answer.
A) $3124	B) $3260	C) $3328	D) $3456	E) $3680

Solution: After one year: 1.2 * $2000   After two years: (1.2)^2 * $2000   After three years: (1.2)^3 * $2000 = $3456   The answer is $3456.
Answer: D
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:	Choose the correct choice from the following options.
A) 3 9/17 hours	B) 1 13 /17 hours	C) 2 8/11 hours	D) 4 1/ 2 hours	E) 5 1/ 2 hours

Solution: Explanation:   Pipes A and B can fill the tank in 5 and 6 hours respectively. Therefore,   part filled by pipe A in 1 hour =1/5   part filled by pipe B in 1 hour = 1/6   Pipe C can empty the tank in 12 hours. Therefore,   part emptied by pipe C in 1 hour =1/12   Net part filled by Pipes A,B,C together in 1 hour   =1/5+1/6-1/12=17/60   i.e., the tank can be filled in 60/17=3 9/17 hours.   3 9/17 hoursnswer: Option 3 9/17 hours
Answer: A
In a certain store, the profit is 320% of the cost. If the cost increases by 40% but the selling price
remains constant, approximately what percentage of the selling price is the profit
Answers:
A) 67%  B) 80%  C) 90%  D) 100%  E) None of above

Solution: Explanation:   Let C.P.= Rs. 100.   Then, Profit = Rs. 320,   S.P. = Rs. 420.   New C.P. = 140% of Rs. 100 = Rs. 140   New S.P. = Rs. 420.   Profit = Rs. (420 - 140) = Rs. 280   Required percentage = (280/420) * 100   = 66.67%(approx) =67%   67%nswer: 67%
Answer: A
A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 37 years and that of the grandchildren is 6 years. What is the average age of the family? Select the correct option:	A) 28 4â„7 years	B) 31 5â„7 years	C) 32 2â„7 years	D) 27 1â„2 years	E) None of these

Solution: Required average = (67Ã—2+37Ã—2+6Ã—3/2+2+3)   =226/7   = 32 2â„7 years   Answer 32 2â„7 years
Answer: C
A starts a business with a capital of Rs. 85,000. B joins in the business with Rs.42500 after some time. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Choose the correct choice from the following answers
A) 5 months
B) 6 months
C) 7 months
D) 8 months
E) 9 months

Solution: Explanation:   Let B joined for x months. Then   85000×12:42500 × x = 3:1   ⇒850×12:425x=3:1   ⇒850×12×1=3×425x   Answer: Option 8 months   ⇒850×4=425x   ⇒x=8
Answer: D
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options.
A) 77 kmph B) 55 kmph C) 54 kmph D) 58 kmph E) 76 kmph

Solution: S = 240/16 * 18/5= 
240/16 * 18/5 = 54
54 kmph   Answer: 54 kmph
Answer: C