MU-NLPC/Calc-aqua_rat huggingface dataset:
Pane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums? Choose the correct answer.
A) 30 B) 36 C) 70 D) 80 E) 150

Solution: Method I: the rates solution   “Pane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks.” Pane’s rate is (1 drum)/(4 weeks) = 1/4. Zane’s rate is (1 drum)/(6 weeks) = 1/6. The combined rate of Pane + Zane is   R = 1/4 + 1/6 = 3/12 + 2/12 = 5/12   That’s the combined rate. We need to make 15 drums — we have a rate and we have an amount, so use the “art” equation to solve for time:   T = A/R = 15/(5/12) = 15*(12/5) = (15/5)*12 = 3*12= 
3*12 = 36
36   BTW, notice in the penultimate step, the universal fraction strategy: cancelbeforeyou multiply (Tip #3:http://magoosh.com/gmat/2012/can-i-use- ... -the-gmat/. Mane and Zane need 36 weeks to make 15 drums.   Answer= 36.
Answer: B
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.
Select:
A) 2:1
B) 1:2
C) 1:1
D) 4:3
E) 5:6

Solution: 5% of A% of B = 2/3 (6% of A + 8% of B)   5A/100 = 4B/100 = 2/3(6A/100 + 8B/100)   =>3A=4B   A/B=4/3   A:B=4:3   ANSWER 4:3
Answer: D
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 32.5 meters. How many times did the ball bounce?  Choose the correct choice from the following:
A) 2 B) 6 C) 7 D) 8 E) 9

Solution: 2ns: 2   Division of total diatance travelled will be 16+16+0.5   2
Answer: A
How many 4 digit numbers can be formed which are divisible by 3 using the numerals 0, 1, 2, 3, 4, 5 (WITHOUT REPETITION)
Choose the correct choice from the following options.
A) 216  B) 3152  C) 240  D) 600  E) 168

Solution: Divisibilty rule for 3: Sum of all digits is a multiple of 3   Selections for the above to be valid   1,2,4,5,0   No of possible ways = 4*4*3*2= 
4*4*3*2 = 96
96   3,4,2,0   No of possible ways= 3*4*3*2= 
3*4*3*2 = 72
72   Total= 96+72= 
96+72 = 168
168   Option   168
Answer: E
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
Choose the correct choice from the following options
A) 11  B) 77  C) 36  D) 47  E) 99

Solution: Let the length of the train be x m.   When a train crosses an electric pole, the distance covered is its own length.   So, x = 12 * 36 * 5 /18= 
12 * 36 * 5 /18 = 120
120 m.   Time taken to cross the platform= (120 +350)/ 36 * 5/18 = 47 min.   Answer:47
Answer: D
Among the employees of a certain company, 50 percent of the employees are male and 48 percent are female. In this company 70 percent of the male employees are married and 50 percent of the female employees are married. If one employee in the company is randomly selected, approximately what is the probability that he or she is NOT married?	Choose the most appropriate option
A) 0.3 B) 0.4 C) 0.5 D) 0.6 E) 0.7

Solution: Much faster: draw 4 quadrants   ______________Male (50%)_____Female (50%)   Married :__________70%____________50%   Not Married:_______30%____________50%   Therefore: the probability of picking one random person Not Married (he or she) is: 0,50 x 0,30 + 0,50 x 0,50 = 0,15 + 0,25 (approx.)   Solution: approx. 0,4 (answer 0.4)
Answer: B
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:
Choose the correct option:
A) 500 B) 277 C) 266 D) 288 E) 261

Solution: 110% of S.P. = 616   S.P. = (616 * 100)/110 = Rs. 560   C.P = (110 * 560)/112 = Rs. 500.500nswer: 500
Answer: A
subash can copy 50 pages in 10 hrs.subash and prakash together can copy 300 pages in 40 hours.in how much time prakash can copy 20 pages.
Pick one.
A) 8
B) 10
C) 12
D) 14
E) 16

Solution: subhas 's 1 hr copy page=50/10= 
50/10 = 5
5 page   (subhas+prakash)'s 1 hr copy page=300/40= 
300/40 = 15/2 = around 7.5
7.5 page   from above prakash's 1 hr copy page= 2.5 page   so time taken in 20 page's copy =(20/2.5)= 
(20/2.5) = 8
8 hrs   8NSWER :8
Answer: A
When a 186 meters long rod is cut down into small pieces of length 2.0 meters each. Then how many pieces are available ?  Choose the most appropriate option.
A) 52 B) 68 C) 62 D) 67 E) 93

Solution: Answer   No. of pieces = Total length / Length of each piece   = 186/2.0= 
186/2.0 = 93
93   Option: 93
Answer: E
The measurement of a rectangular box with lid is 25cmx24cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere) Select.
A) 288	B) 2302	C) 2304	D) 8640	E) 964

Solution: d=24, r=12;   Volume of the largest sphere= 4/3πr3   = 4/3 *π*12*12*12= 2304πcm3 ANSWER:2304
Answer: C
A basketball team scored x points per game in its first n games of the season, and in all the following games it scored an average (arithmetic mean) of y points per game. What was the average number of points per game in its first n + 6 games?	Choose the correct answer:
A) x + 3y/(n + 3)
B) x + y/(n + 3)
C) (x + 3y)/(n + 3)
D) (nx + 3y)/(n + 6)
E) (3x + ny)/(n + 3)

Solution: Total points in first n games = nx   Total marks in next 3 games is 3y   So, Average marks in n + 6 games = (nx+3y)/(n+6)   Hence, correct answer will be ((nx + 3y)/(n + 6))
Answer: D
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 42 films, and broke even on none of them, how many of their films were profitable?	Choose one.
A) 18
B) 19
C) 20
D) 21
E) 41

Solution: After fiddling some more, this is how I got to answer choice 41...but did I get here using voodoo math or is it sound?   (.60*.75) + (.40*.25) = .44 + .10 = .55   55/100 = 11/20   Then subtract from 42:   42 - 11/20 = 41 (answer 41)
Answer: E
There are 40 people and 3 clubs M, S, and Z in a company. 12 people joined M, 14 people joined S and 7 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not
join any club?
Choose the correct option:
A) 22
B) 20
C) 18
D) 16
E) 14

Solution: Answer E.   key is 'atmost' here.   so 12 people joined M.   14 people joined S and 7 people joined Z. to get maximum people who did not join any club, 7 people who joined Z are among 14 people who joined S.   so 14+12= 
14+12 = 26
26   40-26= 
40-26 = 14
14
Answer: E
A mother and father have seven children, and the family receives an invitation with four tickets to the circus. If the family decides to randomly select the four members who get to attend the circus, but determine that the chosen group must include at least one of the mother and father, how many different groups are possible to send to the circus?
Choose the correct choice:
A) 70  B) 84  C) 91  D) 108  E) 126

Solution: Condition 1: Atleast one of the mother and father along with seven children must be selected   Then either - Mother or father = 2C1 = 2 ways for one ticket and 7C3 = 35 ways for other three tickets. Total ways here is   2*35= 
  2*35 = 70
70   Condition 2: Both M and F selected and this is 1 way...then we'll have only two tickets for 7 children..then we can select 7C2= 21.   Total 70+21= 
70+21 = 91
91.   Option 91.
Answer: C
In how many ways Chief Minister and Minister be elected from a team of 12 members?  Options.
A) 128	B) 134	C) 132	D) 167	E) 169

Solution: To do this, if captain is elected first, then we have 12 ways of doing this.   For election of vice-captain, we have only 11 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)   So, the ans is 12*11= 
12*11 = 132
132 ways.   132
Answer: C
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years? Select:	A) 5%	B) 6%	C) 4 1/2%	D) 3 1/2 %	E) 4%

Solution: 160 = (180*4*R)/100   R = 5%   5%nswer:5%
Answer: A
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ?  Choose the correct answer:  A) 45 m  B) 50 m  C) 55 m  D) 60 m  E) 65 m

Solution: Explanation:   First person speed = 2*(5/18) = 5/9 m/sec   Second person speed = 4*(5/18) = 10/9 m/sec   Let the length of train is x metre and speed is y m/sec   then,   x /y−5/9=9   =>9y−5=x   =>9y−x=5.....(i)Also,   x /y−10/9=10   90y−9x=100.....(ii)from (i) and (ii), we get,x=50   So length of train is 50 metre   Option 50 m
Answer: B
If the mean of numbers 28, x, 70, 88 and 104 is 67, what is the mean of 50, 62, 97, 124 and x?  Select the correct option:
A) 76.5  B) 75.6  C) 73.5  D) 79  E) 77

Solution: Mean = (Sum of all no. in series)/(no. in series)   M1 = 67 = (X+28+70+88+104)/(5)   67 x 5 = 290 + X   X = 45   Therefore mean of 2nd series   M2 = (X+50+62+97+124)/5   M2 = 75.6   Answer = 75.6
Answer: B
A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 920gm. for a kg.His gain is …%.	Pick one.
A) 5.26%	B) 5.36%	C) 4.26%	D) 6.26%	E) 8.69%

Solution: His percentage gain is 100*80/920 as he is gaining 80 units for his purchase of 920 units.   so 8.69%.   ANSW8.69%R:8.69%
Answer: E
A bag contains 10 red jellybeans and 10 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability T that all 3 jellybeans removed from the bag are blue?
Choose the correct choice from the following:
A) 9/100 B) 2/19 C) 1/8 D) 3/20 E) 3/10

Solution: Method-1   10 red jellybeans and 10 blue jellybeans   Total Outcomes = No. of ways to choose 3 Jelly bean at random out of a total 20 jellybeans = 20C3 = 1140   Favourable Outcomes = No. of ways to choose 3 Jelly bean such that they are all 2/19lue out of 10 2/19lue = 10C3 = 120   Probability = Favourable Outcomes / Total Outcomes = 10C3 / 20C3   Probability T= 120 / 1140 = 2/19   Answer: option 2/19   Method-2   Probability of First jelly bean to be 2/19lue = 10/20 [Total 10 2/19lue out of total 20 jellybeans]   Probability of Second jelly bean to be 2/19lue = 9/19 [Total 9 2/19lue remaining out of total 19 jellybeans remaining]   Probability of Third jelly bean to be 2/19lue = 8/18 [Total 8 2/19lue remaining out of total 18 jellybeans remaining]   Required Probability = (10/20)*(9/19)*(8/18) = 2/19   Answer: option 2/19
Answer: B
How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 2 cannot appear more than once in the number. Choose the most appropriate option.
A) 2200 B) 2295 C) 2375 D) 2380 E) 2385

Solution: N=(4*5-1)*5*5*5= 
(4*5-1)*5*5*5 = 2_375
2375   where   4 cases of first digit {2,4,6,8}   5 cases of second digit {0,2,4,6,8}   1 case of 22 for two leftmost digit   5 cases of third digit {1,3,5,7,9}   5 cases of fourth digit {1,3,5,7,9}   5 cases of fifth digit {1,3,5,7,9}   2375
Answer: C
Two numbers A and B are such that the sum of 7% 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.	Choose the correct answer:	A) 2 : 1	B) 1 : 2	C) 4 : 9	D) 1 : 1	E) 3 : 2

Solution: Explanation:   7% of A + 4% of B = 2/3(6% of A + 8% of B)   7A/100 + 4B/100 = 2/3(6A/100+8B/100)   ⇒7A + 4B = 2/3(6A + 8B)   ⇒21A + 12B = 12A + 16B   ⇒ 9A = 4B   ⇒ AB = 4/9   ⇒ A:B=4:9   Answer: Option 4 : 9
Answer: C
Two identical circles intersect such that their centers and the points at which they intersect form a square of side 3 cm. What is the area of the region where the two circles intersect?  Choose one:
A) 9 - pi
B) 9pi - 9
C) 4.5pi - 9
D) 9 - 2pi
E) pi^2 - 3

Solution: Drawing a diagram, we see that the radius of the circle equals the side of the square.   The area of intersection is: pi*r^2/4 - (r^2-pi*r^2/4) = pi*r^2/2 - r^2 = 4.5pi - 9   The answer is 4.5pi - 9.
Answer: C
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 149 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?	Choose the correct choice from the following choices:	A) 1289	B) 1192	C) 281	D) 1184	E) 282

Solution: Explanation:   B has 62.5% or (5/8) of the water in A. Therefore, let the quantity of water in container A(initially) be 8k.   Quantity of water in B = 8k - 5k = 3k.   Quantity of water in container C 8  - 5= 
8  - 5 = 3
3k.   Quantity of water in container C= 8k - 3k = 5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 149 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 149 8  - 3= 
8  - 3 = 5
5k   Container: A B C   Quantity of water: 8k 3k 5k   It is given that if 149 liters was transferred from container C to container B, then both the containers would have equal quantities of water.   5k - 149= 3k + 149=> 2k = 298 => k = 149   The initial quantity of water in A = 8k = 8 * 149= 
8 * 149 = 1_192
1192 liters.   Answer: Option 1192
Answer: B
On dividing a number by 56, we get 27 as remainder. On dividing the same number by 8, what will be the remainder ?	Choose the correct choice
A) 2  B) 3  C) 4  D) 5  E) 6

Solution: Number=56x+27 (∵ since the number gives 27 as remainder on dividing by 56)   =(7×8×x)+(3×8)+3   Hence, if the number is divided by 8, we will get 3 as remainder.   ANSWER:3
Answer: B
Which of the following CANNOT be the median Q of the four consecutive positive integers w, x, y, and z, where w < x < y < z ?
Select the correct option:
A) (w+x)/2 - 1	B) (w+z)/2	C) (x+y)/2	D) (y+z)/2 -1	E) (w+x+y+z)/4

Solution: Using the properties of consecutive positive integers we could right away eliminate B,C and E.   (B) - The average of first and last terms is the median   (C) - For even number of integers, the median is the average of middle terms   (E) - The average is equal to median if the integers are consecutive   Remaining answer choices are A and D.   For A, the average of first two consecutive numbers (w,x) will definitely be less than x making it impossible to be a median Q.   (w+x)/2 - 1nswer ((w+x)/2 - 1)
Answer: A
Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 4 hours and machine B produces k bottles in 7 hours. How many hours does it take machines A and B, working simultaneously, to produce 22k bottles?  Answers.
A) 48
B) 52
C) 56
D) 60
E) 64

Solution: A's rate = k/4   B's rate = k/7   k/4 + k/7 = 11k/28   22k / (11k/28) = 56 hours   The answer is 56.22  / (11 /28)= 
22  / (11 /28) = 56
56 hours   The answer is 56.
Answer: C
How many cubes of 20 cm edge can be put in a cubical box of 1 m edge.
Choose the correct choice.
A) 177 cm	B) 125 cm	C) 786 cm	D) 617 cm	E) 187 cm

Solution: Number of cubes =100âˆ—100âˆ—100/20âˆ—20âˆ—20=125   Note: 1 m = 100 cm   Answer:125 cm
Answer: B
A hare and a jackal are running a race. Three leaps of the hare are equal to four leaps of the jackal. For every six leaps of the hare, the jackal takes eleven leaps. Find the ratio of the speed of the hare to the speed of the jackal. Choose the correct choice from the following choices:
A) 4:7  B) 8:11  C) 5:8  D) 3:11  E) 5:2

Solution: The hare takes 6 leaps and the jackal takes 11 leaps.   1 hare leap = 4/3 jackal leaps   Thus the hare's 6 leaps = 6*(4/3)= 
6*(4/3) = 8
8 jackal leaps.   The ratio of their speeds is 8:11.   The answer is 8:11.
Answer: B
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg? Select.
A) 55 B) 66 C) 40 D) 88 E) 12

Solution: 800*(25/100)= 
800*(25/100) = 200
200 ---- 5   ? ---- 1=> Rs.40   Answer:40
Answer: C
An artist wishes to paint a circular region on a square poster that is 5 feet on a side. If the area of the circular region is to be 1/2 the area of the poster, what must be the radius of the circular region in feet?	Choices.
A) 1/pi
B) sqrt(2/pi)
C) 2/sqrt(pi)
D) sqrt(12.5/pi)
E) pi/2

Solution: Area of the poster is 5x5 = 25   1/2 the area = 12.5   pi*r^2 = 12.5   r^2 = 12.5/pi   r = sqrt(12.5/pi) answer (sqrt(12.5/pi))
Answer: D
Given that r = 98.3, which of the following best approximates the value of r/(2r + 2) ?
Select:
A) 1/4	B) 1/3	C) 1/2	D) 4/7	E) 2/3

Solution: r/(2r + 2) = 1/[2+(2/r)] = 1/[2+(2/98.3)]   but 2/98.3 is too small (negligible) in comparison   Hence, 1/[2+(2/98.3)] = 1/2 (approx)   Answer: Option 1/2
Answer: C
12.5 * 3.2 * 8.8 = ? Choose the correct option
A) 352	B) 435	C) 224	D) 646	E) 742

Solution: 352   352   ? = 12.5 * 3.2 * 8.8= 
12.5 * 3.2 * 8.8 = 352
352
Answer: A
The radius of a cylindrical water tank is reduced by 50%. However, the speed by which water is filled into the tank is also decreased by 50%. How much more or less time D will it take to fill the tank now?	Pick one: A) 50% less time B) 50% more time C) 75% less time D) 75% more time E) 100% more time

Solution: (VC)Volume of the cylinderical vessal is directly proportional to R^2.   So if radius is 50% less volume will be 1/4th of the original volume.(VC/4)   Now if with velocity V tank can be filled in T1 time of volume VC   So now Velocity is 50% less i..e V/2   So time taken to fill the capacity VC/4 by V/2 velocity is T2.   VT1 = VC   V/2*T2 = VC/4   So T1/T2 = 1/2   So Tank will be filled in less time. that is D=50 % less.50% less time
Answer: A
There are 720 male and female participants in a meeting. Half the female participants and one-quarterof the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?	Select the correct option.
A) 75 B) 100 C) 120 D) 175 E) 225

Solution: Let m be the number of male participants and f be the number of female articipants in the meeting. Thetotal number of participants is given as 720.   Hence, we have m+f= 720   Now, we have that half the female participants and one-quarter of the male participants are Democrats.   Let d equal the number of the Democrats.   Then we have the equation f/2 + m/4 =d   Now, we have that one-third of the total participants are Democrats. Hence, we have the equation   d = 720/3= 
720/3 = 240
240   Solving the three equations yields the solution   f= 240,m= 480, and d= 240.   The number of female democratic participants equals half the female participants equals   240/2= 
240/2 = 120
120.   ANSWER:120
Answer: C
On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?  Choose one.
A) Sunday	B) Thursday	C) Tuesday	D) Friday	E) KDDSS

Solution: Explanation:   8th Dec 2007 – 8th Dec 2006 = 52 weeks 1 day. So Fridayec 8th 2006 is behind one day = Friday   Answer: Friday
Answer: D
Ratio of two numbers x and y is 5:7. If x is increased by 20% and y is increased by 2 then the new ratio becomes 2:3. What is the ratio 3y:(x+6)
Choose the correct answer:	A) 7:8	B) 8:7	C) 6:7	D) 7:6	E) 2:7

Solution: Let:   x = 5n   y = 7n   6n/(7n+2) = 2/3   18n = 2*(7n+2)   n = 1   So, x =5; y=7   y/(x+3) = 7/8   7:8nswer = 7:8
Answer: A
Raviraj invested an amount of 100000000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
Choices
A) 12,310
B) 13,210
C) 13,320000
D) 13,1200000
E) 133100000

Solution: Amount = 100000000(1 + 10⁄100)3   = 100000000 × 11⁄10 × 11⁄10 × 11⁄10   = 133100000   Answer 133100000
Answer: E
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?  Choose the correct choice from the following options.
A) 16	B) 18	C) 20	D) 24	E) 30

Solution: After the 1st hour, Maxwell has travelled 4 Km. And Brad just left home. So the distance between them = 54 - 4= 
54 - 4 = 50
50.   Relative speed= 4 +6= 
4 +6 = 10
10 Kmph.   Now to cover these 50 Kms, they will take  50/10= 
 50/10 = 5
5 Hrs. So in 5 hrs, Maxwell walks 5*4= 
5*4 = 20
20 Kms.   So total distance travelled by Maxwell= 4 + 20= 
4 + 20 = 24
24.   ANSWER:24
Answer: D
A train 150 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Choose the most appropriate option:
A) 7
B) 6
C) 8
D) 2
E) 4

Solution: Speed of train relative to man = 60 + 6= 
60 + 6 = 66
66 km/hr.= 66 * 5/18 = 55/3 m/sec.   Time taken to pass the men = 150 * 3/55   = 8 sec.   Answer 8
Answer: C
A batsman makes a score of 86 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
Pick
A) 19 B) 29 C) 38 D) 49 E) 59

Solution: let the average after 17th inning =x   Then average after 16th inning=(x-3)   Therefore 16(x-3)+86=17x   Therefore x=38   ANSWER:38
Answer: C
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Choose the most appropriate option
A) Rs.1056	B) Rs.1112	C) Rs.1182	D) Rs.992	E) Rs.702

Solution: Explanation:   (800*3*3)/100= 
(800*3*3)/100 = 72
72   920 + 72= 
920 + 72 = 992
992   ANSWER IS Rs.992
Answer: D
In how many different ways can 3 identical blue pants and 3 identical yellow pants be distributed among 6 children such that each child receives a pair of pants? Pick one.
A) 20	B) 2662	C) 519	D) 46	E) 1

Solution: 1st Child: 6 has options   2nd Child: 5 has options…   Therefore, for all kids: 6 x 5 x 4 x 3 x 2 = 720 arrangements.   Since the reds are identical, we divide by 3! and since the greens are identical, we divide by another 3!   So, in all, 720/[ 3! X 3! ] = 20 ways.   (e.g. 20nswer: 20)
Answer: A
The side of a square is increased by 25% then how much % does its area increases?
Select:	A) 56.29 %	B) 56.25 %	C) 56.75 %	D) 58.25 %	E) 51.25 %

Solution: a = 100 a2 = 10000   a = 125 a2 = 15625   ----------------   10000 --------- 5625   100 -------? => 56.25 %   Answer:56.25 %
Answer: B
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Choose the most appropriate option
A) 4338 B) 4536 C) 4538 D) 4530 E) 4531

Solution: Area of the four walls = 2h(l + b)   Since there are doors and windows, area of the walls = 2 * 12 (15 + 25) - (6 * 3) - 3(4 * 3) = 906 sq.ft.   Total cost = 906 * 5 = Rs. 4530   Answer: 4530
Answer: D
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?	Choose the correct choice from the following answers:	A) 25	B) 20	C) 10	D) 15	E) 35

Solution: M = 15   S = 5   DS = 15 + 5= 
15 + 5 = 20
20   Answer: 20
Answer: B
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors Q does the number 4x have? Choose the correct choice from the following answers:
A) 4y  B) 3y  C) 16y  D) 5y  E) Cannot be determined

Solution: I tried for x=2,4 and 6. The integral factors Q for x and 4x did not have any specific relation.   My answer is Cannot be determined.
Answer: E
In the coordinate plane, points (x, 6) and (10, y) are on line k. If line k passes through the origin and has slope 1/2, then x * y = Pick one.
A) 52
B) 46
C) 60
D) 50
E) 35

Solution: Line k passes through the origin and has slope 1/2 means that its equation is y=1/2*x.   Thus: (x, 6)=(12, 6) and (10, y) = (10,5) --> x*y=12*5= 
12*5 = 60
60.   Answer: 60
Answer: C
In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 32 people were made to stand in a column, how many columns could be formed?  Select.
A) 15
B) 20
C) 25
D) 30
E) 35

Solution: 16*30 = 32*n   n = 15   The answer is 15.
Answer: A